Word Problem

Problem 8801

1. Two teenagers are pulling on ropes attached to a tree. The angle between the ropes is $30.0^{\circ}$ . David pulls with a force of 400.0 N and Stephanie pulls with a force of 300.0 N . (a) Find the component form of the net force. (b) Find the magnitude of the resultant (net) force on the tree and the angle it makes with David's rope.

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Problem 8802

with David's rope. 5.2 Newton's First Law
22. Two forces of $\vec{F}_{1}=75.02(\hat{i}-\hat{j}) \mathrm{N}$ and $\vec{F}_{2}=\frac{150.0}{\sqrt{2}}(\hat{i}-\hat{j}) \mathrm{N}$ act on an object. Find the third force $\vec{F}_{3}$ that is needed to balance the first two forces.

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Problem 8803

23. While sliding a couch across a floor, Andrea and Jennifer exert forces $\vec{F}_{A}$ and $\vec{F}_{J}$ on the couch. Andrea's force is due north with a magnitude of 130.0 N and Jennifer's force is $32^{\circ}$ east of north with a magnitude of 180.0 N . (a) Find the net force in component form. (b) Find the magnitude and direction of the net force. (c) If Andrea and Jennifer's housemates, David and Stephanie, disagree with the move and want to prevent its relocation, with what combined force $\vec{F}_{D S}$ should they push so that the couch does not move?

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Problem 8804

Determine whether descriptive or inferential statistics were used. Fifty-seven percent of Hispanics in the United States have type O blood.
This is an example of (Choose one) $\nabla$ statistics.

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Problem 8805

27. Astronauts in orbit are apparently weightless. This means that a clever method of measuring the mass of astronauts is needed to monitor their mass gains or losses, and adjust their diet. One way to do this is to exert a known force on an astronaut and measure the acceleration produced. Suppose a net external force of 50.0 N is exerted, and an astronaut's acceleration is measured to be $0.893 \mathrm{~m} / \mathrm{s}^{2}$ . (a) Calculate her mass. (b) By exerting a force on the astronaut, the vehicle in which she orbits experiences an equal and opposite force. Use this knowledge to find an equation for the acceleration of the system (astronaut and spaceship) that would be measured by a nearby observer. (c) Discuss how this would affect the measurement of the astronaut's acceleration. Propose a method by which recoil of the vehicle is avoided.

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Problem 8806

astronaut, the vehicle in which she orbits experiences an equal and opposite force. Use this knowledge to find an equation for the acceleration of the system (astronaut and spaceship) that would be measured by a nearby observer. (c) Discuss how this would affect the measurement of the astronaut's acceleration. Propose a method by which recoil of the vehicle is avoided.
28. In Figure 5.4.3, the net external force on the $24-\mathrm{kg}$ mower is given as 51 N . If the force of friction opposing the motion is 24 N , what force F '(in newtons is the person exerting on the mower? Suppose the mower is moving at $1.5 \mathrm{~m} / \mathrm{s}$ when the force $F$ is removed. How far will the mower go before stopping?

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Problem 8807

29. The rocket sled shown below decelerates at a rate of $196 \mathrm{~m} / \mathrm{s}^{2}$ . What force is necessary to produce this deceleration? Assume that the rockets are off. The mass of the system is $2.10 \times 10^{3} \mathrm{~kg}$ .

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Problem 8808

. If the rocket sled shown in the previous problem starts with only one rocket burning, what is the magnitude of this acceleration? Assume that the mass of the system is $2.10 \times 10^{3} \mathrm{~kg}$ , the thrust T is $2.40 \times 10^{4} \mathrm{~N}$ , and the force of friction opposing the motion is 650.0 N . (b) Why is the acceleration not onefourth of what it is with all rockets burning?

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Problem 8809

the system is $2.10 \times 10^{3} \mathrm{~kg}$ , the thrust T is $2.40 \times 10^{4} \mathrm{~N}$ , and the force of friction opposing the motion is 650.0 N . (b) Why is the acceleration not onefourth of what it is with all rockets burning? What is the deceleration of the rocket sled if it comes to rest in 1.10 s from a speed of $1000.0 \mathrm{~km} / \mathrm{h}$ ? (Such deceleration caused one test subject to black out and have temporary blindness.)

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Problem 8810

2. Suppose two children push horizontally, but in exactly opposite directions, on a third child in a wagon. The first child exerts a force of 75.0 N , the second exerts a force of 90.0 N , friction is 12.0 N , and the mass of the third child plus wagon is 23.0 kg . (a) What is the system of interest if the acceleration of the child in the wagon is to be calculated? (See the free-body diagram.) (b) Calculate the acceleration. (c) What would the acceleration be if friction were 15.0 N ?

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Problem 8811

nomework11.4: Problem 1 (1 point)
Compare and discuss the long-run behaviors of the functions below. In each blank, enter either the constant or the polynomial that the rational function behaves like as $x \rightarrow \pm \infty$ : $f(x)=\frac{x^{4}-7}{x^{3}-6}, g(x)=\frac{x^{3}-7}{x^{3}-6}$ , and $h(x)=\frac{x^{2}-7}{x^{3}-6}$ $f(x)$ will behave like the function $y=$ $\square$ as $x \rightarrow \pm \infty$ . help (formulas) $g(x)$ will behave like the function $y=$ $\square$ as $x \rightarrow \pm \infty$ . help (formulas) $h(x)$ will behave like the function $y=$ $\square$ as $x \rightarrow \pm \infty$ . help (formulas)
Note: You can earn partial credit on this problem.

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Problem 8812

A powerful motorcycle can produce an acceleration of $3.50 \mathrm{~m} / \mathrm{s}^{2}$ while traveling at $90.0 \mathrm{~km} / \mathrm{h}$ . At that speed, the forces resisting motion, including frictio and air resistance, total 400.0 N . (Air resistance is analogous to air friction. It always opposes the motion of an object.) What is the magnitude of the fo that motorcycle exerts backward on the.ground to produce its acceleration if the mass of the motorcycle with rider is 245 kg ?

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Problem 8813

Factories often add filler when making meatballs sold by the bag. One factory obtained 135 kg of beef from overseas. They want to add 1.3 oz of filler for each pound of beef. How many ounces of filler will the factory need in order to make meatballs out of this shipment of beef?
Use $1 \mathrm{lb}=0.45 \mathrm{~kg}$ and do not round any computations. $\square$ oz

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Problem 8814

11. A cloth fragment is found in an ancient tomb. It contains $70 \%$ of the carbon-14 (half-life is 5700 years) that it is assumed to have had initially. How old is the cloth? Round your answer to the nearest integer.

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Problem 8815

35. The driver in the previous problem applies the brakes when the car is moving at $90.0 \mathrm{~km} / \mathrm{h}$ , and the car comes to rest after traveling 40.0 m . What is the net force on the car during its deceleration?
36. An $80.0-\mathrm{kg}$ passenger in an SUV traveling at $1.00 \times 10^{2} \mathrm{~km} / \mathrm{h}$ is wearing a seat belt. The driver slams on the brakes and the SUV stops in 45.0 m . Find th force of the seat belt on the passenger.

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Problem 8816

A circle with a diameter of 16 yd is shown. Answer the parts below. Make sure you use the correct units in your answers. If necessary, refer to the list of geometry formulas. (a) Find the exact circumference of the circle. Write your answer in terms of $\pi$ . Exact circumference: $\square$ (b) Using the ALEKS calculator, approximate the circumference of the circle.
To do the approximation, use the $\pi$ button on the calculator, and round your answer to the nearest hundredth.
Approximate circumference: $\square$

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Problem 8817

A swimming pool has a volume of $213 \mathrm{yd}^{3}$ . Use the table of conversion facts to find out how many gallons of water it would take to completely fill the swimming pool.
Round your answer to two decimal places. $\square$ gal
Conversion facts for volume and capacity 1 cubic yard $\left(\mathrm{yd}^{3}\right) \approx 201.97$ gallons (gal) 1 cubic foot $\left(\mathrm{ft}^{3}\right) \approx 7.48$ gallons ( gal) 231 cubic inches $\left(\right.$ in $\left.^{3}\right)=1$ gallon (gal) Note that $\approx$ means "is approximately equal to". For this problem, treat $\approx$ as if it were $=$ .

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Problem 8818

Felipe is making lemonade. He has a container that has a volume of 605 in $^{3}$ to store the lemonade.
Use the table of conversion facts to find out how many gallons of lemonade he should make to completely fill the container.
Round your answer to two decimal places. $\square$ gal
Conversion facts for volume and capacity 1 cubic yard $\left(\mathrm{yd}^{3}\right) \approx 201.97$ gallons (gal) 1 cubic foot $\left(\mathrm{ft}^{3}\right) \approx 7.48$ gallons (gal) 231 cubic inches $\left(\mathrm{in}^{3}\right)=1$ gallon (gal) Note that $\approx$ means "is approximately equal to". For this problem, treat $\approx$ as if it were $=$ .

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Problem 8819

lass and Weight
1. The weight of an astronaut plus his space suit on the Moon is only 250 N . (a) How much does the suited astronaut weigh on Earth? (b) What is the mass on the Moon? On Earth?

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Problem 8820

on the Moon? On Earth? Suppose the mass of a fully loaded module in which astronauts take off from the Moon is $1.00 \times 10^{4} \mathrm{~kg}$ . The thrust of its engines is $3.00 \times 10^{4} \mathrm{~N}$ . (a) Calculate the module's magnitude of acceleration in a vertical takeoff from the Moon. (b) Could it lift off from Earth? If not, why not? If it could, calculate the magnitude of its acceleration.

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Problem 8821

Arianna is working two summer jobs, washing cars and tutoring. She must work nc less than 10 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours washing cars, $w$ , and the number of hours tutoring, $t$ , that Arianna can work in a given week.

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Problem 8822

the magnitude of its acceleration. A rocket sled accelerates at a rate of $49.0 \mathrm{~m} / \mathrm{s}^{2}$ . Its passenger has a mass of 75.0 kg . (a) Calculate the horizontal component of the force the seat exerts against his body. Compare this with his weight using a ratio. (b) Calculate the direction and magnitude of the total force the seat exerts against his body. Repeat the previous problem for a situation in which the rocket sled decelerates at a rate of $201 \mathrm{~m} / \mathrm{s}^{2}$ . In this problem, the forces are exerted by the seat and the seat belt. A body of mass 2.00 kg is pushed straight upward by a 25.0 N vertical force. What is its acceleration?

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Problem 8823

A car is traveling at a rate of 39 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 15 minutes? Do not round your answers. $\square$

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Problem 8824

42. The device shown below is the Atwood's machine considered in Example 6.5. Assuming that the masses of the string and the frictionless pulley are negligible, (a) find an equation for the acceleration of the two blocks; (b) find an equation for the tension in the string; and (c) find both the acceleration and tension when block 1 has mass 2.00 kg and block 2 has mass 4.00 kg .

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Problem 8825

Select the appropriate word or phrase to complete the sentence.
The number of degrees of freedom for the Student's $t$ -test of a population mean is always 1 less than the (Choose one) $\nabla$ .

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Problem 8826

43. Two blocks are connected by a massless rope as shown below. The mass of the block on the table is 4.0 kg and the hanging mass is 1.0 kg . The table and the pulley are frictionless. (a) Find the acceleration of the system. (b) Find the tension in the rope. (c) Find the speed with which the hanging mass hits the floor if it starts from rest and is initially located 1.0 m from the floor.

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Problem 8827

5. Ermitteln Sie die zwei fehlenden trigonometrischen Funktionswerte desselben Winkels (ohne Verwendung des Taschenrechners). sa. $\sin \alpha=-40 / 41, \alpha \in$ QIII bb. $\cos \alpha=-0,4,180^{\circ}<\alpha<270^{\circ}$ c. $\tan \alpha=0,75, \alpha \in Q$ I d. $\sin \alpha=1 / 2 \cdot \sqrt{2}, 90^{\circ}<a<180^{\circ}$

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Problem 8828

A 2.00 kg block (mass 1 ) and a 4.00 kg block (mass 2 ) are connected by a light string as shown; the inclination of the ramp is $40.0^{\circ}$ . Friction is negligib What is (a) the acceleration of each block and (b) the tension in the string?

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Problem 8829

覑 W Write a quadratic function with zeros 6 and 7. "新] Write your answer using the variable x and in standard form with a leading coefficient of 1 . $f(x)=$ $\square$ 2 3 4

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Problem 8830

[效, Write a quadratic function with zeros 7 and -4. [i]. Write your answer using the variable x and in standard form with a leading coefficient of 1. $g(x)=$ $\square$ 2 3 4

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Problem 8831

Does this acceleration seem large to you?
70. Part of riding a bicycle involves leaning at the correct angle when making a turn, as seen below. To be stable, the force exerted by the ground must be on a line going through the center of gravity. The force on the bicycle wheel can be resolved into two perpendicular components-friction parallel to the road (this must supply the centripetal force) and the vertical normal force (which must equal the system's weight). (a) Show that $\theta$ (as defined as shown) is a $12.0-\mathrm{m} / \mathrm{s}$ turn of radius 30.0 m (as in a race).

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Problem 8832

2. Modern roller coasters have vertical loops like the one shown here. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. What is the speed of the roller coaster at the top of the loop if the radius of curvature there is 15.0 m and the downward acceleration of the car is 1.50 g ?

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Problem 8833

3. A child of mass 40.0 kg is in a roller coaster car that travels in a loop of radius 7.00 m . At point $A$ the speed of the car is $10.0 \mathrm{~m} / \mathrm{s}$ , and at point $B$ , the speed is $10.5 \mathrm{~m} / \mathrm{s}$ . Assume the child is not holding on and does not wear a seat belt. (a) What is the force of the car seat on the child at point $A$ ? ( $b$ ) What is the force of the car seat on the child at point $B$ ? (c) What minimum speed is required to keep the child in his seat at point $A$ ?

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Problem 8834

Question Video Examples
A cylinder has a base diameter of 6 meters and a height of 14 meters. What is its volume in cubic meters, to the nearest tenths place?

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Problem 8835

Number Problems Find two numbers whose difference is 10 and whose product is a minimum.

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Problem 8836

Doppler Effect - The whistle of a train emits a frequency of 440 Hz. - As it recedes from a stationary receiver at 30 $\mathrm{m} / \mathrm{s}$ , what frequency does the observer hear?

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Problem 8837

The English Channel is the waterway between England and France. It is about 21 kilometers across, and many people have successfully swam across it. In the United States, many pools at gyms are 25 yards long, and 1 lap equals the pool length.
Assuming a person swims in a straight line, how can you calculate the number of complete laps a person must swim in a 25 -yard pool to equal swimrxing across the English Channel?

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Problem 8838

It Tate High School, students' unweighted GPAs are normally distributed with a mean of 2.9 and standard deviation of 0.6. What percentage of students at the high school have a GPA between 2.3 and 3.5 ? (Hint: empirical rule)
Hint: Set up your normal distribution bell curve using the mean and standard deviation and find which standard' deviation 2.3 and 3.5 fall between.

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Problem 8839

The HTML \&marquee> element is used to insert a scrolling message. It is non-standard, obsolete, and should not be used in modern web design. Nevertheless, the feature was implemented in early web browsers by repeatedly replacing a string of text with a modified string in which all characters of the string were repositioned 1 index position to the left (for left-scrolling) or to the right (for right-scrolling).
Write a program that, given a string of text, prints each of the iterations of a left-scrolling message for one full cycle of the marquee message.
Inputs - The first line of input will state the number of test cases, $n$ , to follow. - Each test case consists of a single line of text of length $m$ .
Constraints - $1<=\mathrm{n}<20$ - $1<m<100$
Output - For each marquee message, print a list of the $m$ iterations of the message, one line per left-scrolling cycle. - Follow each marquee list with a blank line, as in the example output shown below.
Example Input File: dataBravo. txt 2 test cases Scroll Left Marquee
Example Output To Screen: \{System, out\} Scroll Left croll Lefts roll Leftsc oll LeftScr II Leftscro I LeftScrol LeftScroll LeftScroll eftScroll L

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Problem 8840

12 In a bag there are only red counters, blue counters and white counters. A counter is taken at random from the bag. The table shows the probability of getting a red counter. \begin{tabular}{lcll|} \hline Colour & Red & Blue & 0.4 \\ \hline Probability & 0.2 & 0.4 & 0.4 \end{tabular}
The probability of getting a blue counter is the same as the probability of getting a white counter. (a) Complete the table.
There are 18 red counters in the bag. (b) Work out the total number of counters in the bag. (4 marks)

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Problem 8841

Find class boundaries, midpoint, and width for the class. 8.12-13.48
Part: $0 / 3$
Part 1 of 3
The class boundaries for the class are $\square$ - $\square$ Skip Part Check

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Problem 8842

Heli invested $\$ 10,000$ in a $401(k)$ account. After 8 years, the account was worth $\$ 13,900$ .
What was Heli's return on investment? Round to the nearest tenth of a percent, if necessary. $4.9 \%$ $28 \%$ $39 \%$ $3.5 \%$

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Problem 8843

Question 12, Question Points: 0 of 1 Save
About $33 \%$ of the population in a large region are between the ages of 40 and 65 , according to the country's census. However, only $3 \%$ of the 2900 employees at a company in the region are between the ages of 40 and 65 . Lawyers are concerned that the company is engaging in age discrimination, not hiring enough people in the age group 40 to 65 . Assume the number of employees inthis compnay is a sample. Check whether the conditions for using the one-proportion $z$ -test are met.
Are all the conditions satisfied? Select all that apply. A. No, the Large Population condition is not satisfied or cannot be reasonably assumed. B. No, the Independence condition is not satisfied or cannot be reasonably assumed. C. No, the Large Sample Size condition is not satisfied or cannot be reasonably assumed. D. No, the Random Sample condition is not satisfied or cannot be reasonably assumed. E. Yes, all conditions are satisfied or can be reasonably assumed.

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Problem 8844

nomework11.1: Problem / (1 point)
A 30-second commercial during Super Bowl XLII in 2008 cost advertisers 2.7 million. For the first Super Bowl in 1967, an advertiser could have purchased approximately 26.19 minutes of advertising time for the same amount of money. (a) Assuming that advertising cost is proportional to its length of time, find the cost of advertising, in dollars/second, during the 2008 Super Bowl. cost $=$ $\square$ dollars/second. (round to nearest cent and do not enter commas) (b) Assuming that advertising cost is proportional to its length of time, find the cost of advertising, in dollars/second, during the 1967 Super Bowl. cost $=$ $\square$ dollars/second. (round to nearest cent and do not enter commas) (c) How many times more expensive was Super Bowl advertising in 2008 than in 1967? $\square$ times more expensive (round to nearest whole number)

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Problem 8845

2. Describe the behavior of the function in words. A complete description would describe the initial value and would use descriptors such as "decays/grows by", "factor of," "\% growth/decay", etc. If the initial value was not specified in the article, make up a reasonable initial value and defend your choice. You are welcome to rescale the input (for example, time) at your convenience; if you do this just explain why you did it. Initial value is zero. The function describes exponential grouth. 100 deaths at day 0 . $600=a b^{t}$ $1900(1+r)^{t}$
3. Give an algebraic formula for the function, and define each of your variables with units. $\begin{array}{l} D(t)=D_{0}+b_{k G F}^{t} \\ D=\text { \#of deaths } t=\text { days }>1500=100 \cdot b^{15} \\ b^{15}=\frac{1500}{100}=15 \\ 6^{1 / 10} \approx 1.174 \\ 1,174^{15}=15 \end{array}$
4. Identify the growth factor and the growth or decay rate for the function. aproxmitly 1.174 , growth rate is about $17.4 \%$
5. Construct a table of values for the function. Include at least 5 sets of data points.
6. In your table, demonstrate where/how you can see the growth factor.

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Problem 8846

Dicarbon tetrahydride has $\qquad$ valence electrons $\qquad$ electron domains $\qquad$ Bonding directions $\qquad$ Molecular shape Around its central carbon atom
Word Bank: 3 12 Trigonal Planar Bent Trigonal pyramidal Bent Tetrahedral 3 Linear
Blank 1: $\square$ Blank 2: $\square$ Blank 3: $\square$ Blank 4: $\square$

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Problem 8847

Consider the following polynomial function. $f(x)=(x+1)(x-1)(x-3)$
Answer the questions regarding the graph of $f$ . Then, use this information to graph the function. (a) Choose the end behavior of the graph of $f$ .
Choose One (b) Ust each real zero of $f$ according to the behavior of the graph at the $X$ -axis near that zero. If there is more than one answer, separate them with commas. If there is no answer, click on "None",
Zero(s) where the graph crosses the $X_{\text {-axis: }}$ $\square$ Zero(s) where the graph touches, but does not cross the $X$ -axis: $\square$ (c) Find the $y$ -Intercept of the graph of $f$ : (d) Graph $f(x)=(x+1)(x-1)(x-3)$ by doing the following. - Plot all polnts where the graph of $f$ intersects the $x$ -axis or $y$ -axis. - For each polnt on the $\boldsymbol{X}$ -axis, select the correct behavior. - click on the graph icon.

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Problem 8848

The sulfate ion has $\qquad$ T/alence electrons $\qquad$ electron domains $\qquad$ Bonding directions $\qquad$ Molecular Shape around the central sulfur atom
Word Bank: Trigonal pyramidal Trigonal Planer Bent 32 Tetrahedral Linear Bent 4 4
Blank 1: $\square$ Blank 2: $\square$ Blank 3: $\square$ Blank 4: $\square$

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Problem 8849

Q2: It is proposed to illuminate a class room of dimensions $6 \times 8 \times 2.85 \mathrm{~m}$ to an illuminance (E) of 400 lx at the bench level. The specification calls for luminaires having one 1050 mm 40 W fluorescent natural tube with an initial output of 3200 lumens with white metal base an prismatic plastic diffuser (its UF is given in Table -2). Determine the number of luminaires required for this installation when the MF is 0.7 , respectively. The reflection coefficients are: ( $\mathrm{C}=$ $0.70, \mathrm{~W}=0.3, \mathrm{~F}=0.2$ ) Assuming the working table height is 0.85 m \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \multicolumn{6}{|l|}{Room Reflection} & \multicolumn{6}{|l|}{Room Index} \\ \hline c & W & F & 75 & 1.00 & 1.25 & 1.50 & 2.00 & 2.50 & 3.00 & 4.00 & 5.00 \\ \hline \multicolumn{3}{|l|}{\multirow[t]{3}{}{.70 .50 .30 .10}} & 44 & . 50 & .56 & . 60 & 65 & .69 & .72 & .7i5 & .777 \\ \hline & & & . 38 & . 44 & .50 & .54 & . 60 & . 64 & 68 & . 72 & .74 \\ \hline & & & . 33 & 40 & 46 & .50 & . 56 & 61 & . 64 & . 69 & . 72 \\ \hline \multirow[t]{3}{}{. 50} & . 50 & 20 & 39 & 44 & 49 & .5. & . 57 & 60 & 62 & .65 & . 67 \\ \hline & .30 & & 34 & 40 & 44 & 48 & 53 & . 56 & . 59 & 62 & . 64 \\ \hline & . 10 & & .30 & .36 & 41 & 44 & . 50 & .53 & . 56 & . 60 & . 62 \\ \hline \multirow[t]{3}{}{} & . 50 & 20 & 34 & 39 & 42 & 45 & 49 & 51 & . 53 & .55 & . 57 \\ \hline & .30 & & 30 & . 35 & . 39 & 42 & 46 & 49 & .51 & . 53 & . 55 \\ \hline & 10 & & 27 & .32 & . 36 & .39 & 44 & 47 & 49 & 52 & 54 \\ \hline \multirow[t]{2}{}{} & 0.00 & . 0 & 22 & 26 & 29 & . 31 & 34 & . 36 & 38 & 40 & . 41 \\ \hline & & & & & & - & $\rightarrow$ UF & 4 & & & \\ \hline \end{tabular}
Note: The reflection coefficients for a standard room are: $(0.7,0.5,0.2)$

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Problem 8850

point. Please enter the ic devic not hand in working out. Time devices are to be used including phones. decreasing for all $n \geqslant n_{0}$ .

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Problem 8851

ANS:
5. If a savings account offers a nominal interest rate of $3 \%$ per year, compounded every four months, then how many years will it take for a deposit to double in value?
ANS:

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Problem 8852

Given that $\triangle D E F \cong \triangle S R Q$ , which of the following must be true? Two of these $\angle E \cong \angle Q$ $\overline{D E} \cong \overline{S Q}$ $\overline{E F} \cong \overline{R Q}$

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Problem 8853

Answer the following. (a) Find an angle between $0^{\circ}$ and $360^{\circ}$ that is coterminal with $1170^{\circ}$ . (b) Find an angle between 0 and $2 \pi$ that is coterminal with $-\frac{17 \pi}{10}$ .
Give exact values for your answers. (a) $\square$ 。 (b) $\square$ radians

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Problem 8854

Homework 6: Problem 4 (1 point)
Find the linearization $L(x)$ of the function $g(x)=x f\left(x^{2}\right)$ at $x=2$ given the following information. $f(2)=0 \quad f^{\prime}(2)=6 \quad f(4)=3 \quad f^{\prime}(4)=-4$
Answer: $L(x)=$ $\square$

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Problem 8855

Given that $\triangle J A M \cong \triangle B R O$ , which of the following must be true? Two of these $\overline{J M} \cong \overline{R B}$ $\overline{J A} \cong \overline{B O}$ $\angle J \cong \angle B$

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Problem 8856

a. What does each of these points represent in this situation: $(0,0),(1,55)$ , and $(5,275)$ ? b. What is the constant of proportionality?
Mr. Brown's Road Trip c. What equation relates the distance, $y$ , and the time, $x$ ? $y=55 x$

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Problem 8857

QUESTION 13 According to the Atkinson-Shiffrin model, $\qquad$ A. colors are more easily named when they appear printed in that color B. happy memories are processed better than sad memories C. memories are processed the same way that a computer processes information D. short-term memory itself has different forms

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Problem 8858

For a given arithmetic sequence, the common difference, $d$ , is equal to 5 , and the $12^{\text {th }}$ term, $a_{12}$ , is equal to 40 . Find the value of the $88^{\text {th }}$ term, $a_{88}$ . $a_{88}=$

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Problem 8859

Financial Alg Unit 2A Quiz A
7. How long will it take $\$ 3,000$ to earn $\$ 350$ in interest at a rate of $5.3 \%$ ? Express your answer in years and months.

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Problem 8860

11. How many real third roots does 1,728 have?
12. How many real sixth roots does 15,625 have?
13. Solve the equation $4 x^{3}=324$ .
14. Solve the equation $2 x^{4}=2,500$ .
Simplify each expression.
15. $\sqrt[3]{27 x^{12} y^{6}}$
16. $\sqrt[5]{-32 x^{5} y^{30}}$

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Problem 8861

Based on a survey, assume that $39 \%$ of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when five consumers are randomly selected, exactly three of them are comfortable with delivery by drones. Identify the values of $n, x, p$ , and $q$ .
The value of $n$ is $\square$ (Type an integer or a decimal. Do not round.)

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Problem 8862

11. How many real third roots does 1,728 have?
12. How many real sixth roots does 15,625 have?

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Problem 8863

Soit la réaction $\mathrm{A} \rightarrow \mathrm{B}$ . La concentration du substrat A est 5 mM . Au bout de 2 minutes elle est de 4 mM . Calculez la concentration en substrat au bout de 5 minutes :
1 - Si la réaction est d'ordre 0 . 2- Si la réaction est d'ordre 1.

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Problem 8864

Label each of the clauses in the sentence below as either main $(M)$ or subordinate (S).
After they had been for a swim, the boys had a drink because they were very thirsty. $\square$

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Problem 8865

A random variable X is not normally distributed. It has a mean of 51 and a standard deviation of 3 . List the givens with correct symbols: ? $0=51$ ? ( 0 ) $=3$ a) If you take a sample of size 23 , can you say what the shape of the sampling distributio. for the sample mean is? ? 0 Why or why not? Check all that apply. $\sigma$ is unknown $n$ is less than 30 population is normal $n$ is at least 30 $\sigma$ is known population is not normal b) For a sample of size 23, state the mean and the standard deviation of the sampling distribution of the sample mean. mean of the sampling distribution of the sample mean when $\mathrm{n}=23$ : $\square$ standard deviation of the sampling distribution of the sample mean when $n=23$ rounded to two decimal places: $\square$ c) If you take a sample of size 38 , can you say what the shape of the distribution of the sample mean is? $\square$

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Problem 8866

You can sketch yo Fifty students are participating in the school musical. Of those students 12 are on the debate team and 23 are seniors. There are twenty students who are not on the debate team and are not seniors.
If a student is selected at random, what is the probability the student is a senior or on the debate team?

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Problem 8867

Convert. Simplify your answer and write it as a proper fraction or as a whole or mixed number. $\square$ feet $=6 \frac{2}{3}$ yards Submit

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Problem 8868

What is $x^{2}-49$ factored completely? A. $(x+7)(x-7)$ B. $(7 x+1)(7 x-1)$ C. $(x-7)^{2}$ D. $(7 x-1)^{2}$

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Problem 8869

The math department at your school is giving away a graphing calculator as a prize to celebrate math month. There are 800 students at the school. There are 240 freshmen, 207 sophomores and the remaining students are juniors and seniors.
If a student is chosen at random, what is the probablity that the student is not a freshmen?

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Problem 8870

3) What is the linear equation of a line with slope $\frac{2}{3}$ and passes through the point $(-6,5)$ ?

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Problem 8871

9. Explain why rewriting $\sqrt{50}$ as $\sqrt{25} \cdot \sqrt{2}$ helps you simplify $\sqrt{50}$ , but rewriting $\sqrt{50}$ as $\sqrt{10} \cdot \sqrt{5}$ does not.

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Problem 8872

A patient is admitted with fever over 39.5C. The order is to administer lbuprofen liquid 470 mg PO q8H PRN for fever greater than 38.5C. Ibuprofen is available as $500 \mathrm{mg} / 5 \mathrm{~mL}$ .
You will administer $\qquad$ mL to the patient per dose? $\square$ A

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Problem 8873

Convert the fraction below to a mixed number. Be sure to simplify the fraction portion as much as possible. Fraction to change: $\frac{14}{4}$
Whole Number: Numerator: $\square$ Denominator: $\square$ Gonfirm
TYPE YOUR ANSWER AND CLICK ON CONFIRM. Activa Go to Se

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Problem 8874

Ch 08 Sec 5 Ex 12 - Inclusion-Exclusion
Find the number of positive integers not exceeding 10,010 that are not divisible by $3,4,7$ , or 11 .

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Problem 8875

How many radians is $100^{\circ}$ ? (Give the exact answer in simplest forr \begin{tabular}{|c|} \hline Answer \\ \hline radians \\ \hline \end{tabular}

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Problem 8876

5. The sum of two numbers is 29. The difference between four times the first number and the second number is 6 . Find the two numbers. let

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Problem 8877

The areas of the squares adjacent to two sides of a right triangle are shown below.
What is the area of the square adjacent to the third side of the triangle? $\square$ units ${ }^{2}$

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Problem 8878

Suppose that ${ }^{O}$ partners equally share the profits from a sale of $\$ 3,600$ . Which algebraic expression represents this situation? $3600+0$ $3600-p$ 3600p $\frac{3600}{p}$

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Problem 8879

mdlp.org/members/courses/testmaker/engine_v2/mainpage.php?csid=325861\&aid=u1ts\&equivid=ma301h\&checksum=be503c4158 inks Classes Kahoot! Blooket SmartPass clever Marana Distance Le..
Unit 1 Test
1. Choose three points that are NOT collinear. $u, v, w$ $P, Q, R$ $U, V, R$ Next

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Problem 8880

Convert the mixed numeral below to a fraction. Mixed numeral to change: $4 \frac{5}{6}$ Numerator: $\square$ Denominator: $\square$ Gonfirm

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Problem 8881

Ben is saving money to buy an Xbox One $S$ that costs $\$ 323$ including tax. He opens a savings account with a deposit of $\$ 75$ and deposits $\$ 55$ each week after mowing lawns. What is the minimum number of weeks Ben will need to make deposits until he has enough money in his account to buy the Xbox?
Ben will have enough money to pay for the Xbox after at least weeks.
Question Help: Message instructor
Post to forum Submit Question

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Problem 8882

In some South Asian weddings, the groom travels to the wedding on a white horse in a procession called a baraat.
A farm charges $\$ 1,000$ to rent a horse for a baraat, which includes transporting the horse up to 15 miles to the wedding. A $\$ 2.50$ fee applies for each mile beyond the first 15. An employee represents the situation with the function $C(m)=1,000+2.50 \mathrm{~m}$ and determines that the total cost to rent a horse for a wedding 25 miles away is $\$ 1,062.50$ .
Is the employee correct? Use the drop-down menus to explain.
Click the arrows to choose an answer from each monu. The function roprosonts the situation if $\boldsymbol{m}$ is tho Chooso... The employeo should substitute chooso... $\square$ for $m$ and determine that the cost to rent and transport tho horso is chooso... - Tho omployoo
Chooso... correct.

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Problem 8883

The student photo club at the college is planning on selling prints that it makes to raise money. The profit $P$ , in dollars, from selling $x$ prints is given by the function: $P(x)=217 x-2 x^{2}$ a) Find the number of prints, to the nearest whole print, that need to be sold to maximize the profit. You must sell $\square$ prints to maximize the profit. b) The maximum profit, to the nearest dollar, is $\$$ $\square$ . (No dollar signs or comma's.)

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Problem 8884

A hot-air balloon is held at a constant altitude by two ropes that are anchored to the ground. One rope is 133 feet long and makes an angle of $69^{\circ}$ with the ground. The other rope is 125 feet long. What is the distance between the points on the ground at which the two ropes are anchored (just give one of the answers rounded to the nearest whole number)? Note: no angle in the triangle formed between the ropes and the ground is necessarily right. $\square$ feet

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Problem 8885

6) $[\mathrm{AC}](12) \mathrm{A}$ lab assistant sneaks into a grizzly bear's den during the winter months and hooks up a machine to monitor the bear's lung capacity in breathing. Luckily for the lab assistant, the bear is hibernating now. The lung capacity of the bear can be modelled by a sinusoidal function. a) Explain why the breathing of a hibernating grizzly bear can be modeled by a periodic function. b) Explain the meaning of the period in the context of this situation.

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Problem 8886

Your local pizza store sells medium pizzas for $\$ 7.69$ each, and breadsticks for $\$ 3.49$ per order. For a party, you decide to order 5 pizzas and 3 orders of breadsticks. There is a $\$ 3$ delivery fee, and a $9.4 \%$ sales tax will be added to the total, including the delivery fee. What will be the total bill after tax, rounded to the nearest cent? $\$$ $\square$ Suppose you have a budget of $\$ 143.97$ to spend, and you order 14 pizzas. How many orders of breadsticks can you get, assuming the same delivery fee and sales tax? Round your answer to the nearest whole number. $\qquad$ orders of breadsticks
Suppose you have a budget of $\$ 306.79$ to spend, and you order 20 orders of breadsticks. How many pizzas can you get, assuming the same delivery fee and sales tax? Round your answer to the nearest whole number. $\square$ pizzas Question Help: Message instructor Post to forum Submit Question

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Problem 8887

6.2.6. A random sample of size 16 is drawn from a normal distribution having $\sigma=6.0$ for the purpose of testing $H_{0}: \mu=30$ versus $H_{1}: \mu \neq 30$ . The experimenter chooses to define the critical region $C$ to be the set of sample means lying in the interval (29.9, 30.1). What level of significance does the test have? Why is $(29.9,30.1)$ a poor choice for the critical region? What range of $\bar{y}$ values should comprise $C$ , assuming the same $\alpha$ is to be used?

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Problem 8888

Find an equation of the tangent line to the curve $x=\sin (5 t), \quad y=\sin (6 t)$ at $t=\pi$ . $\begin{array}{l} x(t)=\mathcal{X} \\ y(t)=\square \end{array}$ (Note that because the correctness of a parametrically described line depends on both $x(t)$ and $y(t)$ , both of your answers may be marked incorrect if there is an error in one of them.)

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Problem 8889

How many extraneous solutions does the equation below have? $\frac{2 m}{2 m+3}-\frac{2 m}{2 m-3}=1$ 0 1 2 3

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Problem 8890

16. $\mathrm{Be}_{3}\left(\mathrm{PO}_{4}\right)_{2}$ compound name?
17. ammonium fluoride compound formula?
18. $\mathrm{Mg}_{3}\left(\mathrm{PO}_{4}\right)_{2}$ compound name?
19. sodium acetate compound formula?
20. gallium nitrate compound formula?
21. gallium hydroxide compound formula?
22. zinc acetate compound formula?
23. $\mathrm{Be}(\mathrm{OH})_{2}$ compound name?

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Problem 8891

Sophia's dog just had puppies! She decides to spend $3 / 4$ of her day playing with them. If she usually spends $2 / 5$ of her day doing homewôrk, what fraction of her day is she spending on both puppies and homework combined?
Step 1 Multiplying your fraction

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Problem 8892

5.4 Systems of Nonlinear Equations in Two Variables Question 16 of 16 (2 points) I Question Attempt: 1 of Unlimited 4 5 6 7 8 9 10 11 12 13 14 15
Find the dimensions of a rectangle whose perimeter is 48 m and whose area is $140 \mathrm{~m}^{2}$ . Give the answer in simplest form.
The rectangle is $\square$ m by $\square$ m.

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Problem 8893

Найди площадь треугольника MNK, если $\mathrm{MN}=25$ дм, $\mathrm{MK}=330$ см, а угол M равен $30^{\circ}$ 。
Запиши ответ числом. $\mathrm{S}=\square \mathrm{qм}^{2}$

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Problem 8894

4 5 $\checkmark 6$ 7 8 9 10 11 12 < 13 14 15 Español 16
The difference of two positive numbers is 7 and the difference of their squares is 147 . Find the numbers. If there is more than one pair, use the "or" button. Give the answer in simplest form.
The pair(s) of numbers: $\square$ and $\square$ $\square \because \square$

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Problem 8895

What is the greatest common factor of 2 and 5 ? $\square$

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Problem 8896

Juan collected data on the colours of cars passing his school for ten minutes each hour each day for five days. The data he collected is known as which of the following? A) primary data B) unreliable data C) biased data D) secondary data

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Problem 8897

The line of best fit and the correlation coefficient are calculated for a set of data. The value of the correlation coefficient is $r=0.10$ . What is the strength and type of the correlation for this data? A) weak and negative B) weak and positive C) strong and negative D) strong and positive

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Problem 8898

A motorcyclist being monitored by radar accelerates at a constant rate from $0 \mathrm{mph}(\mathrm{v}(0)=0)$ to 50 mph in 18 sec . How far has the motorcycle traveled after 18 sec? (Hint: Convert seconds to hours.)
After 18 sec , the motorcycle has traveled $\square$ mi. (Simplify your answer. Type an integer or a fraction.)

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Problem 8899

During the summer, Isabelle sells corn at her family's produce stand. Every morning, she starts with 250 ears of corn. On Saturday, Isabelle sells 150 of the 250 ears of corn. She wants to know what percent of the corn she sold.
Complete the table to show an equivalent ratio where the number of ears at the start is 100 . \begin{tabular}{|c|c|c|} \hline Corn Sold & 150 & \\ \hline Corn at Start & 250 & 100 \\ \hline \end{tabular}

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Problem 8900

Question 13 (1 point) On January 2, 2004, the TSX Composite Index was 8293.70. On January 2, 2009, the TSX Composite Index was 9234.11. By what factor did the index grow from January 2, 2004 to January 2, 2009? A) 10.184 B) 11.339 C) 1.113 D) 0.898 Previous Page Next Page Page 13 of 16 Submit Quiz 12 of 16 questions saved

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1 ...86 87 88 89 90 91 92 ...122

Word Problem

Problem 8801

Problem 8802

Problem 8803

Problem 8804

Determine whether descriptive or inferential statistics were used. Fifty-seven percent of Hispanics in the United States have type O blood.This is an example of (Choose one) ∇\nabla∇ statistics.

Problem 8805

Problem 8806

Problem 8807

29. The rocket sled shown below decelerates at a rate of 196 m/s2196 \mathrm{~m} / \mathrm{s}^{2}196 m/s2. What force is necessary to produce this deceleration? Assume that the rockets are off. The mass of the system is 2.10×103 kg2.10 \times 10^{3} \mathrm{~kg}2.10×103 kg.

Problem 8808

Problem 8809

Problem 8810

Problem 8811

Problem 8812

Problem 8813

Problem 8814

11. A cloth fragment is found in an ancient tomb. It contains 70%70 \%70% of the carbon-14 (half-life is 5700 years) that it is assumed to have had initially. How old is the cloth? Round your answer to the nearest integer.

Problem 8815

Problem 8816

Problem 8817

Problem 8818

Problem 8819

lass and Weight1. The weight of an astronaut plus his space suit on the Moon is only 250 N . (a) How much does the suited astronaut weigh on Earth? (b) What is the mass on the Moon? On Earth?

Problem 8820

Problem 8821

Problem 8822

Problem 8823

A car is traveling at a rate of 39 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 15 minutes? Do not round your answers. □\square□

Problem 8824

Problem 8825

Select the appropriate word or phrase to complete the sentence.The number of degrees of freedom for the Student's ttt-test of a population mean is always 1 less than the (Choose one) ∇\nabla∇.

Problem 8826

Problem 8827

Problem 8828

A 2.00 kg block (mass 1 ) and a 4.00 kg block (mass 2 ) are connected by a light string as shown; the inclination of the ramp is 40.0∘40.0^{\circ}40.0∘. Friction is negligib What is (a) the acceleration of each block and (b) the tension in the string?

Problem 8829

覑 W Write a quadratic function with zeros 6 and 7. "新] Write your answer using the variable x and in standard form with a leading coefficient of 1 . f(x)=f(x)=f(x)= □\square□ 2 3 4

Problem 8830

[效, Write a quadratic function with zeros 7 and -4. [i]. Write your answer using the variable x and in standard form with a leading coefficient of 1. g(x)=g(x)=g(x)= □\square□ 2 3 4

Problem 8831

Problem 8832

Problem 8833

Problem 8834

Question Video ExamplesA cylinder has a base diameter of 6 meters and a height of 14 meters. What is its volume in cubic meters, to the nearest tenths place?

Problem 8835

Number Problems Find two numbers whose difference is 10 and whose product is a minimum.

Problem 8836

Doppler Effect - The whistle of a train emits a frequency of 440 Hz. - As it recedes from a stationary receiver at 30 m/s\mathrm{m} / \mathrm{s}m/s, what frequency does the observer hear?

Problem 8837

Problem 8838

Problem 8839

Problem 8840

Problem 8841

Find class boundaries, midpoint, and width for the class. 8.12-13.48Part: 0/30 / 30/3Part 1 of 3The class boundaries for the class are □\square□ - □\square□ Skip Part Check

Problem 8842

Heli invested $10,000\$ 10,000$10,000 in a 401(k)401(k)401(k) account. After 8 years, the account was worth $13,900\$ 13,900$13,900.What was Heli's return on investment? Round to the nearest tenth of a percent, if necessary. 4.9%4.9 \%4.9% 28%28 \%28% 39%39 \%39% 3.5%3.5 \%3.5%

Problem 8843

Problem 8844

Problem 8845

Problem 8846

Problem 8847

Problem 8848

Problem 8849

Problem 8850

point. Please enter the ic devic not hand in working out. Time devices are to be used including phones. decreasing for all n⩾n0n \geqslant n_{0}n⩾n0​.

Problem 8851

ANS:5. If a savings account offers a nominal interest rate of 3%3 \%3% per year, compounded every four months, then how many years will it take for a deposit to double in value?ANS:

Problem 8852

Given that △DEF≅△SRQ\triangle D E F \cong \triangle S R Q△DEF≅△SRQ, which of the following must be true? Two of these ∠E≅∠Q\angle E \cong \angle Q∠E≅∠Q DE‾≅SQ‾\overline{D E} \cong \overline{S Q}DE≅SQ​ EF‾≅RQ‾\overline{E F} \cong \overline{R Q}EF≅RQ​

Problem 8853

Problem 8854

Problem 8855

Given that △JAM≅△BRO\triangle J A M \cong \triangle B R O△JAM≅△BRO, which of the following must be true? Two of these JM‾≅RB‾\overline{J M} \cong \overline{R B}JM≅RB JA‾≅BO‾\overline{J A} \cong \overline{B O}JA≅BO ∠J≅∠B\angle J \cong \angle B∠J≅∠B

Problem 8856

a. What does each of these points represent in this situation: (0,0),(1,55)(0,0),(1,55)(0,0),(1,55), and (5,275)(5,275)(5,275) ? b. What is the constant of proportionality?Mr. Brown's Road Trip c. What equation relates the distance, yyy, and the time, xxx ? y=55xy=55 xy=55x

Problem 8857

Problem 8858

For a given arithmetic sequence, the common difference, ddd, is equal to 5 , and the 12th 12^{\text {th }}12th term, a12a_{12}a12​, is equal to 40 . Find the value of the 88th 88^{\text {th }}88th term,a88a_{88}a88​. a88=a_{88}=a88​=

Problem 8859

Determine whether descriptive or inferential statistics were used. Fifty-seven percent of Hispanics in the United States have type O blood.
This is an example of (Choose one) $\nabla$ statistics.

29. The rocket sled shown below decelerates at a rate of $196 \mathrm{~m} / \mathrm{s}^{2}$ . What force is necessary to produce this deceleration? Assume that the rockets are off. The mass of the system is $2.10 \times 10^{3} \mathrm{~kg}$ .

11. A cloth fragment is found in an ancient tomb. It contains $70 \%$ of the carbon-14 (half-life is 5700 years) that it is assumed to have had initially. How old is the cloth? Round your answer to the nearest integer.

lass and Weight
1. The weight of an astronaut plus his space suit on the Moon is only 250 N . (a) How much does the suited astronaut weigh on Earth? (b) What is the mass on the Moon? On Earth?

A car is traveling at a rate of 39 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 15 minutes? Do not round your answers. $\square$

Select the appropriate word or phrase to complete the sentence.
The number of degrees of freedom for the Student's $t$ -test of a population mean is always 1 less than the (Choose one) $\nabla$ .

A 2.00 kg block (mass 1 ) and a 4.00 kg block (mass 2 ) are connected by a light string as shown; the inclination of the ramp is $40.0^{\circ}$ . Friction is negligib What is (a) the acceleration of each block and (b) the tension in the string?

覑 W Write a quadratic function with zeros 6 and 7. "新] Write your answer using the variable x and in standard form with a leading coefficient of 1 . $f(x)=$ $\square$ 2 3 4

[效, Write a quadratic function with zeros 7 and -4. [i]. Write your answer using the variable x and in standard form with a leading coefficient of 1. $g(x)=$ $\square$ 2 3 4

Question Video Examples
A cylinder has a base diameter of 6 meters and a height of 14 meters. What is its volume in cubic meters, to the nearest tenths place?

Doppler Effect - The whistle of a train emits a frequency of 440 Hz. - As it recedes from a stationary receiver at 30 $\mathrm{m} / \mathrm{s}$ , what frequency does the observer hear?

Find class boundaries, midpoint, and width for the class. 8.12-13.48
Part: $0 / 3$
Part 1 of 3
The class boundaries for the class are $\square$ - $\square$ Skip Part Check

Heli invested $\$ 10,000$ in a $401(k)$ account. After 8 years, the account was worth $\$ 13,900$ .
What was Heli's return on investment? Round to the nearest tenth of a percent, if necessary. $4.9 \%$ $28 \%$ $39 \%$ $3.5 \%$

point. Please enter the ic devic not hand in working out. Time devices are to be used including phones. decreasing for all $n \geqslant n_{0}$ .

ANS:
5. If a savings account offers a nominal interest rate of $3 \%$ per year, compounded every four months, then how many years will it take for a deposit to double in value?
ANS:

Given that $\triangle D E F \cong \triangle S R Q$ , which of the following must be true? Two of these $\angle E \cong \angle Q$ $\overline{D E} \cong \overline{S Q}$ $\overline{E F} \cong \overline{R Q}$

Given that $\triangle J A M \cong \triangle B R O$ , which of the following must be true? Two of these $\overline{J M} \cong \overline{R B}$ $\overline{J A} \cong \overline{B O}$ $\angle J \cong \angle B$

a. What does each of these points represent in this situation: $(0,0),(1,55)$ , and $(5,275)$ ? b. What is the constant of proportionality?
Mr. Brown's Road Trip c. What equation relates the distance, $y$ , and the time, $x$ ? $y=55 x$

For a given arithmetic sequence, the common difference, $d$ , is equal to 5 , and the $12^{\text {th }}$ term, $a_{12}$ , is equal to 40 . Find the value of the $88^{\text {th }}$ term, $a_{88}$ . $a_{88}=$

Financial Alg Unit 2A Quiz A
7. How long will it take $\$ 3,000$ to earn $\$ 350$ in interest at a rate of $5.3 \%$ ? Express your answer in years and months.

11. How many real third roots does 1,728 have?
12. How many real sixth roots does 15,625 have?

Soit la réaction $\mathrm{A} \rightarrow \mathrm{B}$ . La concentration du substrat A est 5 mM . Au bout de 2 minutes elle est de 4 mM . Calculez la concentration en substrat au bout de 5 minutes :
1 - Si la réaction est d'ordre 0 . 2- Si la réaction est d'ordre 1.

Label each of the clauses in the sentence below as either main $(M)$ or subordinate (S).
After they had been for a swim, the boys had a drink because they were very thirsty. $\square$

Convert. Simplify your answer and write it as a proper fraction or as a whole or mixed number. $\square$ feet $=6 \frac{2}{3}$ yards Submit

What is $x^{2}-49$ factored completely? A. $(x+7)(x-7)$ B. $(7 x+1)(7 x-1)$ C. $(x-7)^{2}$ D. $(7 x-1)^{2}$

3) What is the linear equation of a line with slope $\frac{2}{3}$ and passes through the point $(-6,5)$ ?

9. Explain why rewriting $\sqrt{50}$ as $\sqrt{25} \cdot \sqrt{2}$ helps you simplify $\sqrt{50}$ , but rewriting $\sqrt{50}$ as $\sqrt{10} \cdot \sqrt{5}$ does not.

A patient is admitted with fever over 39.5C. The order is to administer lbuprofen liquid 470 mg PO q8H PRN for fever greater than 38.5C. Ibuprofen is available as $500 \mathrm{mg} / 5 \mathrm{~mL}$ .
You will administer $\qquad$ mL to the patient per dose? $\square$ A

Convert the fraction below to a mixed number. Be sure to simplify the fraction portion as much as possible. Fraction to change: $\frac{14}{4}$
Whole Number: Numerator: $\square$ Denominator: $\square$ Gonfirm
TYPE YOUR ANSWER AND CLICK ON CONFIRM. Activa Go to Se

Ch 08 Sec 5 Ex 12 - Inclusion-Exclusion
Find the number of positive integers not exceeding 10,010 that are not divisible by $3,4,7$ , or 11 .