Solve

Problem 25601

To calculate the enthalpy change ( $\Delta \mathrm{H}$ ) for the reaction:
$\mathrm{CO} + 2 \mathrm{H}_{2} \rightarrow \mathrm{CH}_{3} \mathrm{OH}$
using the bond energies provided from Tables 7.2 and 7.3, we need to determine the bonds broken and formed during the reaction.
Bonds Broken: - 1 C≡O bond in CO (bond energy = 1080 kJ/mol) - 2 H-H bonds in 2 H₂ (bond energy = 436 kJ/mol each)
Bonds Formed: - 1 C-O bond in CH₃OH (bond energy = 350 kJ/mol) - 3 C-H bonds in CH₃OH (bond energy = 415 kJ/mol each) - 1 O-H bond in CH₃OH (bond energy = 464 kJ/mol)
Calculate the enthalpy change ( $\Delta \mathrm{H}$ ) for the reaction using the bond energies:
$\Delta \mathrm{H} = \text{(Sum of bond energies of bonds broken)} - \text{(Sum of bond energies of bonds formed)}$
$\Delta \mathrm{H} = \left(1080 + 2 \times 436\right) - \left(350 + 3 \times 415 + 464\right)$
Calculate the value of $\Delta \mathrm{H}$ in kJ/mol.
$\square$ kJ/mol

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Problem 25602

A. Directions: Find all solutions to each equation over the interval $[0, 2\pi]$ . You must show all work as well as your Unit Circle diagrams in order to earn credit.
1. $\sqrt{3} + 2 \cos \theta = 0$
2. $\sqrt{3} \tan \left(\frac{\theta}{2}\right) - 1 = 0$

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Problem 25603

Solve the compound or inequality. $2 x+7<3 \text { or } 7+x>9$
The solution set of the compound inequality is $\square$ (Type your answer in interval notation.)

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Problem 25604

Complete the pattern: $10 \div \boxed{\phantom{00}} = 5$ $\boxed{\phantom{0000}} \div 2 = 50$ $1,000 \div 2 = \boxed{\phantom{0000}}$

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Problem 25605

Multiply. $\frac{1}{2} \times \frac{1}{4} = \boxed{\phantom{000}}$

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Problem 25606

Solve the compound and inequality. $2(x+2)-3>5 \text { and } 3(2 x+1)+2<11$
Select the correct choice below and, if necessary, fill in the answer box to complete $y$ A. The solution set is $\square$

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Problem 25607

Divide. Give the exact $3.45 \div 3 =$

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Problem 25608

She repeats this several times. The table shows her results.
Based on her results, what is the probability of choosing an orange marble from the bag?
Color Frequency Green 5 Orange 11 Purple 4
Color Probability Green $\frac{1}{4}$ Orange

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Problem 25609

A panel in one of the hallways of Emilio's school is rectangular with an area of 44.52 square feet. If the panel is 21 feet long, how wide is it? 0.212 feet 1.12 feet 2.12 feet 21.2 feet

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Problem 25610

iny solutions. Show your work $93+12 x=3(1-4 x)+96$

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Problem 25611

15. If $T: \mathbb{R}^{2} \rightarrow \mathbb{R}^{2}$ is a linear transformation such that $T\left[\begin{array}{l} 1 \\ 4 \end{array}\right]=\left[\begin{array}{r} -2 \\ 22 \end{array}\right] \quad \text { and } \quad T\left[\begin{array}{r} 2 \\ -3 \end{array}\right]=\left[\begin{array}{r} 18 \\ -11 \end{array}\right]$ find the matrix that induces this transformation.

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Problem 25612

Question 1 (Mandatory) (1 point) An amusement park usually charges $\$34$ per ticket, but wants to raise the price by $\$1$ per ticket. The revenue that could be generated is modelled by the function $R(x) = -125(x-12)^2 + 35\,000$ , where $x$ is the number of $\$1$ increases and the revenue, $R(x)$ , is in dollars. What should the ticket price be if the park wants to earn $\$15\,000$ ?

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Problem 25613

Find the mean, median, and mode for the following data set. Round your answers to one decimal place, if necessary. $-15$ $9$ $21$ $18$ $18$ Part: $0/2$ Part 1 of 2 Find the mean and median. Mean $=$ Median $=$

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Problem 25614

Question 3 (Mandatory) (1 point) Saved The population of a village can be modelled by the function $P(x) = -22.5x^2 + 428x + 1100$ , where x is the number of years since 1990. According to the model, when will the population be the highest?

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Problem 25615

Blood pressure in women: The three quartiles for systolic blood pressure in a sample of 1213 women between the ages of 20 and 29 were $Q_1 = 101$ , $Q_2 = 111$ , and $Q_3 = 118$ .
Part: 0 / 3
Part 1 of 3
Find the IQR.
IQR =

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Problem 25616

Question 5 4 pts The business manager of a company that produces in-ground outdoor spas determines that the cost (in dollars) of producing $x$ spas in thousands of dollars is given by $C(x) = 0.04x^2 + 4.1x + 100$ Find the average rate of change in cost if production is changed from 10 in-ground outdoor spas to 11 in-ground outdoor spas. \$4,994 \$149,940 \$4,940 \$145,000

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Problem 25617

Find the x- and y-intercepts of the graph of $7x + 7y = 21$ . State each answer as an integer or an improper fraction in simplest form. x-intercept: y-intercept:

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Problem 25618

Top view of a $3.0 \text{ cm} \times 3.0 \text{ cm} \times 3.0 \text{ cm}$ cube
$4.0 \text{ m}$ $400 \text{ N/C}$ $2.0 \text{ m}$ $30^\circ$ $500 \text{ N/C}$ $30^\circ$ 39. 40.
FIGURE P24.29 FIGURE P24.30
30. FIGURE P24.30 shows four sides of a $3.0 \text{ cm} \times 3.0 \text{ cm} \times 3.0 \text{ cm}$ cube.
a. What are the electric fluxes $\Phi_1$ to $\Phi_4$ through sides 1 to 4? b. What is the net flux through these four sides?

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Problem 25619

Question 4 (Mandatory) (1 point) Determine the values of $a$ , $h$ , and $k$ that make the equation. $-3x^2 + 9x - 6 = a(x - h)^2 + k$ .

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Problem 25620

For questions 9-11, find the values of x and y if $l || m$ .
9. $(10x - 17)^{\circ}$ $(6y + 29)^{\circ}$ $(8x + 1)^{\circ}$
10. $(3y + 11)^{\circ}$ $(7x - 30)^{\circ}$ $(5x + 14)^{\circ}$
11. $(7y - 23)^{\circ}$ $(23x - 16)^{\circ}$ $(8x - 21)^{\circ}$

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Problem 25621

18 Maya is conducting a study on the impact of a new math tutoring program in her classes. Which method would introduce the least bias into her sample? A choosing the students with the highest grades from each class to use in her sample (B) randomly selecting students from each of her classes to participate in the study (C) selecting only students from her afternoon classes, to be part of the sample (D) selecting only female students from all her math classes to use in her sample

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Problem 25622

A cylinder with a height of 12.58 feet is shown. Its approximate volume is 377.35 cubic feet.
12.58 ft
$r$
Enter the radius of the cylinder, in feet below. Round your answer to the nearest hundredth.

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Problem 25623

Convert the angle to D°M'S'' form.
$48.42^\circ$
$48.42^\circ = \Box^\circ \Box' \Box ''$
(Round to the nearest second as needed.)

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Problem 25624

Government funding: The following table presents the budget (in millions of dollars) for selected organizations that received U.S. government funding for arts and culture in both 2006 and last year.
Organization | 2006 | Last Year --- | --- | --- Organization 1 | 460 | 440 Organization 2 | 247 | 227 Organization 3 | 142 | 161 Organization 4 | 124 | 156 Organization 5 | 95 | 166 Organization 6 | 18 | 45 Organization 7 | 2 | 3
Part: 0 / 3 Part 1 of 3 Compute the least-squares regression line for predicting last year's budget from the 2006 budget Round the slope and $y$ -intercept to four decimal places as needed. The equation for the least-squares regression line is $\hat{y} =$ .

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Problem 25625

Question 6 (Mandatory) (1 point) A rocket is launched into the sky and follows a path modelled by the function $h(t) = -5(t-6.32)^2 + 200$ , where time, $t$ , is in seconds and height, $h(t)$ , is in metres. Approximately how high will the rocket be after 9 seconds?

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Problem 25626

6. Friction does $-400 \text{ J}$ of net work on a moving car. How does this affect the kinetic energy of the car? a. The kinetic energy increases by $400 \text{ J}$ . b. The kinetic energy decreases by $400 \text{ J}$ . c. The kinetic energy decreases by $160 \text{ kJ}$ . d. The kinetic energy does not change.
7. Which of the following does not affect gravitational potential energy? a. an object's mass b. an object's height relative to a zero level c. the free-fall acceleration d. an object's speed
8. How does the elastic potential energy in a mass-spring system change if the displacement of the mass is doubled? a. The elastic potential energy decreases to half its original value. b. The elastic potential energy doubles. c. The elastic potential energy increases or decreases by a factor of 4. d. The elastic potential energy does not change.
9. Which has more kinetic energy, a $4.0 \text{ kg}$ bowling ball moving at $1.0 \text{ m/s}$ or a $1.0 \text{ kg}$ bocce ball moving at $4.0 \text{ m/s}$ ? Explain your answer.

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Problem 25627

23.45 Give systematic names for the following formulas: (a) $[Ni(H_2O)_6]Cl_2$ (b) $[Cr(en)_3](ClO_4)_3$ (c) $K_4[Mn(CN)_6]$
Answer (a) hexaaquanickel(II) chloride (b) tris(ethylenediamine) chromium(III) perchlorate (c) potassium
23.46 Give systematic names for the following formulas: (c) $K_2[CuCl_4]$
23.47 What are the charge and coordination number of the central metal ion(s) in each compound in Problem 23.45?

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Problem 25628

Paragraph Styles
14. A 20.0 g piece of clay moves with a constant speed of $15.0 \mathrm{~m} / \mathrm{s}$ . The piece of clay collides and sticks to a massive ball of mass 0.900 kg suspended at the end of a string. a. Calculate the momentum of the piece of clay before the collision. b. Calculate the kinetic energy of the piece of clay before the collision. c. What is the momentum of the two objects after the collision? d. Calculate the velocity of the combination of the two objects after the collision. e. Calculate the kinetic energy of the combination of two objects after the collision. f. Calculate the change in kinetic energy during the collision. g. Calculate the maximum vertical height of the combination of the two objects after the collision.

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Problem 25629

If you place a 24 -foot ladder against the top of a 20 -foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answer

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Problem 25630

Question 8 (Mandatory) (1 point) Use the quadratic formula to solve $-6x^2 + 5x + 8 = 0$ . Round your answer to two decimal places.

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Problem 25631

6. Triangles $ACD$ and $BCD$ are isosceles. Angle $DBC$ has a measure of 84 degrees and angle $BDA$ has a measure of 24 degrees. Find the measure of angle $BAC$ . (Lesson 2-6) $\overline{AD} \cong \overline{AC}$ and $\overline{BD} \cong \overline{BC}$

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Problem 25632

The area of a rectangle is 99 square units. Its width measures 11 units. Find the length of its diagonal. Round to the nearest tenth of a unit.

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Problem 25633

Question 12 (Mandatory) (1 point)
What number must you add to $x^2 + 12x$ to create a perfect square?

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Problem 25634

If you place a 23 -foot ladder against the top of a building and the bottom of the ladder is 11 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

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Problem 25635

Find the limit as $x$ approaches 3 for the expression $5x^{2} + 4x + 2$ .

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Problem 25636

Solve the initial value problem: $y'' + 18x = 0$ , with $y(0) = 2$ and $y'(0) = 2$ . Find $y = \quad: \cdots \quad:$

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Problem 25637

How many pounds are in a 25 kg box of welding rods? How many kg for $9 \mathrm{lbs}$ ? Use $1 \text{ kg} \approx 2 \frac{1}{4} \text{ lbs}$ .

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Problem 25638

Solve the equations: $2 \sqrt{x+8}=4$ , $\sqrt{3 x+6}-9=0$ , and $\frac{2 \sqrt{2 x-8}}{4}=\sqrt{2 x+6}=\sqrt{-2 x+15}$ .

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Problem 25639

Evaluate the limit: $\lim _{x \rightarrow 196} \frac{\sqrt{x}-14}{x-196}$ to three decimal places or state DNE.

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Problem 25640

You need to cut 7 pieces of length $5 \frac{3}{4}$ inches. What is the total length of keystock required in inches?

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Problem 25641

Calculate the total length of flatbar needed to weld 5 "L" brackets with dimensions $63/4"$ for horizontal and $7 \, 5/8$ for vertical. Provide the answer in feet and inches (e.g., 7'-4 1/2").

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Problem 25642

Solve the initial value problem: $y'' + 18x = 0$ , with $y(0) = 2$ and $y'(0) = 2$ . Find $y =$ .

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Problem 25643

Find the unit price of a 12-ounce can of frozen orange juice that costs \$2.04 in cents per ounce.

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Problem 25644

Find the gas consumption rate if you drive 364 miles using 13 gallons: $\text{Rate} = \frac{364}{13}$ miles per gallon.

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Problem 25645

Calculate the unit rates for \$6.29 for 12 quarts. Find dollars per quart and quarts per dollar. Round to the nearest hundredth.

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Problem 25646

Calculate the price per diaper in cents for Brand A (32 diapers, \ $10.49) and Brand B (40 diapers, \$12.49). Round to the nearest tenth. Which is cheaper? Select an answer$ \checkmark$

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Problem 25647

A customer needs to make 10 brackets from 2" Schedule 40 pipe, each using 42-3/4". What is the total pipe required in feet and inches?

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Problem 25648

Solve the initial value problem: $y^{\prime \prime}+18 x=0$ , with $y(0)=2$ , $y^{\prime}(0)=2$ . Find $y=...$

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Problem 25649

Calculate the cost per diaper for Brand A (32 diapers, \$9.49) and Brand B (50 diapers, \$11.49). Round to the nearest tenth of a cent. Which is the better buy?

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Problem 25650

Find all values of $r$ for which $y=r x^{2}$ satisfies the equation $y^{\prime}=9 x$ . Enter answers as a list. $r=$

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Problem 25651

How many $1/2$ " roundstock pieces of $61/4$ " can you cut from a 48" piece, ignoring waste?

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Problem 25652

Find the missing side in right triangle $ABC$ with $a=5$ and $b=12$ using the Pythagorean theorem. Then, calculate the six trigonometric functions for angle $B$ .

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Problem 25653

Evaluate the limit or state if it doesn't exist: $\lim _{x \rightarrow 0} \frac{\sin (15 x)}{x}=$ (3 decimal places or DNE)

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Problem 25654

Find $f(99)$ given the function $f(x)=5-\frac{x}{99}$ .

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Problem 25655

Find the growth constant $k$ for a trout population growing from 2500 to 6250 in 1 year, with a capacity of 25000. When will it reach 12900? $k=$ $\therefore \mathrm{yr}^{-1}$ Time to 12900: $\approx$ - years.

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Problem 25656

Calculate grams of nitrogen gas produced from 30.9 grams of ammonium nitrite using their molar masses.

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Problem 25657

How many grams of calcium carbonate are required to produce 2.2 grams of carbon dioxide from the reaction?

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Problem 25658

A car emits 30.4 tons of CO₂ in 4 years. Calculate its annual carbon footprint in tons per year.

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Problem 25659

How many 6" pieces can be cut from a 48" round stock, considering 1/8" kerf waste?

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Problem 25660

How many $61 / 4^{\prime \prime}$ pieces can you cut from a 48" roundstock? Ignore kerf waste.

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Problem 25661

How many 6 $1/4$ pieces can be cut from a 48" roundstock, ignoring kerf waste?

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Problem 25662

Find the average rate of change of $f(t)=t^{2}-2t$ from $t=2$ to $t=5$ . Show your work.

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Problem 25663

How many 8" sections of I-beam can be cut from 320 lbs if each weighs 12 $\frac{3}{8}$ lbs?

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Problem 25664

Find the unknown side of right triangle $ABC$ with $a=7$ and $c=14$ . Then calculate the six trig functions for angle B.

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Problem 25665

Evaluate the integral using substitution: $\int -x(5-8x)^{5} \, dx = C$ .

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Problem 25666

In triangle $ABC$ , with $a=7$ and $c=14$ , find side $b$ using the Pythagorean theorem and calculate $\sin B$ and $\cos B$ .

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Problem 25667

Find the unknown side length of right triangle $ABC$ using the Pythagorean theorem, given $a=6$ and $c=7$ . Then, calculate the trig functions for angle B, rationalizing denominators if needed.

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Problem 25668

Find the wavelength of light in mm with a frequency of 645 MHz. Provide the answer in mm to 3 significant figures.

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Problem 25669

Convert 25 kg of welding rods to pounds and find kg needed for 9 lbs. Use $1 \text{ kg} \approx 2.25 \text{ lbs}$ .

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Problem 25670

Find the wavelength of a photon with energy $6.89 \times 10^{-19} \mathrm{~J}$ .

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Problem 25671

Find the energy of a photon with a wavelength of $999 \mu \mathrm{m}$ .

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Problem 25672

How many photons are in a laser pulse with energy $7.53 \mathrm{~mJ}$ at a wavelength of $601 \mathrm{~nm}$ ? Use 3 sig figs.

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Problem 25673

How many photons are in a laser pulse with energy $5.56 \mathrm{~mJ}$ at a wavelength of $401 \mathrm{~nm}$ ? Use 3 sig figs.

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Problem 25674

Find the limit: $\lim_{x \rightarrow -6} \frac{x+6}{x^{2}+x-30}$ and give your answer to three decimal places.

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Problem 25675

Solve the equation for acute angles: $\sec \alpha=\csc \left(\alpha+10^{\circ}\right)$ . Find $\alpha=$ (integer or decimal).

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Problem 25676

Find the frequency of light with a wavelength of $576 \mathrm{~nm}$ . Round to 3 significant figures in scientific notation.

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Problem 25677

Find the one-sided limit: $\lim _{x \rightarrow 0^{-}} \frac{2 \sin (x)}{3|x|}$ to three decimal places.

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Problem 25678

Calculate the frequency of light with a wavelength of $576 \mathrm{~nm}$ . Report your answer in scientific notation to 3 sig figs.

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Problem 25679

Find the frequency of light with a wavelength of $576 \mathrm{~nm}$ . Round to 3 significant figures, use scientific notation if needed.

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Problem 25680

Find an acute angle $\beta$ that satisfies the equation $\sec(4\beta + 24^\circ) = \csc(\beta - 4^\circ)$ .

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Problem 25681

Find the one-sided limit: $\lim _{x \rightarrow 7^{+}} \frac{x+9}{x-7}=$ (Enter DNE if it doesn't exist.)

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Problem 25682

Solve for acute angle $\beta$ in the equation: $\sec(4\beta - 25^{\circ}) = \csc(2\beta + 7^{\circ})$ .

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Problem 25683

Solve for the acute angle $\beta$ in the equation: $\sec(2\beta + 25^{\circ}) = \csc(\beta + 8^{\circ})$ .

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Problem 25684

Solve for $\beta$ in the equation: $\sec(4\beta - 25^\circ) = \csc(2\beta + 7^\circ)$ , where all angles are acute.

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Problem 25685

Find the exact value of $\tan 30^{\circ}$ . Simplify your answer using integers, fractions, or radicals.

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Problem 25686

Calculate the exact value of $\sec 30^{\circ}$ . Simplify your answer with integers or fractions.

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Problem 25687

Finde die Quadratwurzel von 2. $\sqrt{2}$

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Problem 25688

How much energy is in 2.50 mol of UV light at $235 \mathrm{~nm}$ ?

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Problem 25689

Berechne die Quadratwurzel von 2: $\sqrt{2}$

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Problem 25690

Find the frequency of light with a wavelength of $428 \mathrm{~nm}$ . Round to 3 significant figures in scientific notation.

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Problem 25691

How much energy is in $2.50 \mathrm{~mol}$ of UV light at $235 \mathrm{~nm}$ ?

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Problem 25692

Calculate the number of photons in a laser pulse with energy $5.98 \mathrm{~mJ}$ and wavelength $675 \mathrm{~nm}$ .

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Problem 25693

Find the area $A$ using the formula $A = \frac{1}{2} b h$ with $b = 6$ and $h = 5$ .

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Problem 25694

Calculate $6(n-4)$ for $n=6$ .

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Problem 25695

Solve for $a$ in the equation $a+(a+4)+(2 a-3)=13$ .

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Problem 25696

Solve the equation $2(y-3)=12$ for $y$ .

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Problem 25697

Solve for $m$ in the equation $8(m-1)=8$ .

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Problem 25698

Solve for $x$ in the equation: $-2(4x - 3) = -14$ .

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Problem 25699

Solve for $x$ in the equation $5 = x + 2 \frac{1}{3}$ .

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Problem 25700

Dewi has 28 packets of beads with 36 beads each. If she uses 9 beads per bracelet, how many bracelets can she make?

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1 ...254 255 256 257 258 259 260 ...307

Solve

Problem 25601

Problem 25602

Problem 25603

Solve the compound or inequality. 2x+7<3 or 7+x>92 x+7<3 \text { or } 7+x>92x+7<3 or 7+x>9The solution set of the compound inequality is □\square□ (Type your answer in interval notation.)

Problem 25604

Complete the pattern: 10÷00=510 \div \boxed{\phantom{00}} = 510÷00​=5 0000÷2=50\boxed{\phantom{0000}} \div 2 = 500000​÷2=50 1,000÷2=00001,000 \div 2 = \boxed{\phantom{0000}}1,000÷2=0000​

Problem 25605

Multiply. 12×14=000\frac{1}{2} \times \frac{1}{4} = \boxed{\phantom{000}}21​×41​=000​

Problem 25606

Solve the compound and inequality. 2(x+2)−3>5 and 3(2x+1)+2<112(x+2)-3>5 \text { and } 3(2 x+1)+2<112(x+2)−3>5 and 3(2x+1)+2<11Select the correct choice below and, if necessary, fill in the answer box to complete yyy A. The solution set is □\square□

Problem 25607

Divide. Give the exact 3.45÷3=3.45 \div 3 =3.45÷3=

Problem 25608

She repeats this several times. The table shows her results.Based on her results, what is the probability of choosing an orange marble from the bag?Color Frequency Green 5 Orange 11 Purple 4Color Probability Green 14\frac{1}{4}41​ Orange

Problem 25609

A panel in one of the hallways of Emilio's school is rectangular with an area of 44.52 square feet. If the panel is 21 feet long, how wide is it? 0.212 feet 1.12 feet 2.12 feet 21.2 feet

Problem 25610

iny solutions. Show your work 93+12x=3(1−4x)+9693+12 x=3(1-4 x)+9693+12x=3(1−4x)+96

Problem 25611

Problem 25612

Problem 25613

Find the mean, median, and mode for the following data set. Round your answers to one decimal place, if necessary. −15-15−15 999 212121 181818 181818 Part: 0/20/20/2 Part 1 of 2 Find the mean and median. Mean === Median ===

Problem 25614

Question 3 (Mandatory) (1 point) Saved The population of a village can be modelled by the function P(x)=−22.5x2+428x+1100P(x) = -22.5x^2 + 428x + 1100P(x)=−22.5x2+428x+1100, where x is the number of years since 1990. According to the model, when will the population be the highest?

Problem 25615

Blood pressure in women: The three quartiles for systolic blood pressure in a sample of 1213 women between the ages of 20 and 29 were Q1=101Q_1 = 101Q1​=101, Q2=111Q_2 = 111Q2​=111, and Q3=118Q_3 = 118Q3​=118.Part: 0 / 3Part 1 of 3Find the IQR.IQR =

Problem 25616

Problem 25617

Find the x- and y-intercepts of the graph of 7x+7y=217x + 7y = 217x+7y=21. State each answer as an integer or an improper fraction in simplest form. x-intercept: y-intercept:

Problem 25618

Problem 25619

Question 4 (Mandatory) (1 point) Determine the values of aaa, hhh, and kkk that make the equation. −3x2+9x−6=a(x−h)2+k-3x^2 + 9x - 6 = a(x - h)^2 + k−3x2+9x−6=a(x−h)2+k.

Problem 25620

Problem 25621

Problem 25622

A cylinder with a height of 12.58 feet is shown. Its approximate volume is 377.35 cubic feet.12.58 ftrrrEnter the radius of the cylinder, in feet below. Round your answer to the nearest hundredth.

Problem 25623

Convert the angle to D°M'S'' form.48.42∘48.42^\circ48.42∘48.42∘=□∘□′□′′48.42^\circ = \Box^\circ \Box' \Box ''48.42∘=□∘□′□′′(Round to the nearest second as needed.)

Problem 25624

Problem 25625

Problem 25626

Problem 25627

Problem 25628

Problem 25629

If you place a 24 -foot ladder against the top of a 20 -foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.Answer

Problem 25630

Question 8 (Mandatory) (1 point) Use the quadratic formula to solve −6x2+5x+8=0-6x^2 + 5x + 8 = 0−6x2+5x+8=0. Round your answer to two decimal places.

Problem 25631

Problem 25632

The area of a rectangle is 99 square units. Its width measures 11 units. Find the length of its diagonal. Round to the nearest tenth of a unit.

Problem 25633

Question 12 (Mandatory) (1 point)What number must you add to x2+12xx^2 + 12xx2+12x to create a perfect square?

Problem 25634

If you place a 23 -foot ladder against the top of a building and the bottom of the ladder is 11 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Problem 25635

Find the limit as xxx approaches 3 for the expression 5x2+4x+25x^{2} + 4x + 25x2+4x+2.

Problem 25636

Solve the initial value problem: y′′+18x=0y'' + 18x = 0y′′+18x=0, with y(0)=2y(0) = 2y(0)=2 and y′(0)=2y'(0) = 2y′(0)=2. Find y=:⋯:y = \quad: \cdots \quad:y=:⋯:

Problem 25637

How many pounds are in a 25 kg box of welding rods? How many kg for 9lbs9 \mathrm{lbs}9lbs? Use 1 kg≈214 lbs1 \text{ kg} \approx 2 \frac{1}{4} \text{ lbs}1 kg≈241​ lbs.

Problem 25638

Solve the equations: 2x+8=42 \sqrt{x+8}=42x+8​=4, 3x+6−9=0\sqrt{3 x+6}-9=03x+6​−9=0, and 22x−84=2x+6=−2x+15\frac{2 \sqrt{2 x-8}}{4}=\sqrt{2 x+6}=\sqrt{-2 x+15}422x−8​​=2x+6​=−2x+15​.

Problem 25639

Evaluate the limit: lim⁡x→196x−14x−196\lim _{x \rightarrow 196} \frac{\sqrt{x}-14}{x-196}x→196lim​x−196x​−14​ to three decimal places or state DNE.

Problem 25640

You need to cut 7 pieces of length 5345 \frac{3}{4}543​ inches. What is the total length of keystock required in inches?

Problem 25641

Calculate the total length of flatbar needed to weld 5 "L" brackets with dimensions 63/4"63/4"63/4" for horizontal and 7 5/87 \, 5/875/8 for vertical. Provide the answer in feet and inches (e.g., 7'-4 1/2").

Problem 25642

Solve the initial value problem: y′′+18x=0y'' + 18x = 0y′′+18x=0, with y(0)=2y(0) = 2y(0)=2 and y′(0)=2y'(0) = 2y′(0)=2. Find y=y =y=.

Problem 25643

Find the unit price of a 12-ounce can of frozen orange juice that costs \$2.04 in cents per ounce.

Problem 25644

Find the gas consumption rate if you drive 364 miles using 13 gallons: Rate=36413\text{Rate} = \frac{364}{13}Rate=13364​ miles per gallon.

Problem 25645

Calculate the unit rates for \$6.29 for 12 quarts. Find dollars per quart and quarts per dollar. Round to the nearest hundredth.

Problem 25646

Problem 25647

A customer needs to make 10 brackets from 2" Schedule 40 pipe, each using 42-3/4". What is the total pipe required in feet and inches?

Solve the compound or inequality. $2 x+7<3 \text { or } 7+x>9$
The solution set of the compound inequality is $\square$ (Type your answer in interval notation.)

Complete the pattern: $10 \div \boxed{\phantom{00}} = 5$ $\boxed{\phantom{0000}} \div 2 = 50$ $1,000 \div 2 = \boxed{\phantom{0000}}$

Multiply. $\frac{1}{2} \times \frac{1}{4} = \boxed{\phantom{000}}$

Solve the compound and inequality. $2(x+2)-3>5 \text { and } 3(2 x+1)+2<11$
Select the correct choice below and, if necessary, fill in the answer box to complete $y$ A. The solution set is $\square$

Divide. Give the exact $3.45 \div 3 =$

She repeats this several times. The table shows her results.
Based on her results, what is the probability of choosing an orange marble from the bag?
Color Frequency Green 5 Orange 11 Purple 4
Color Probability Green $\frac{1}{4}$ Orange

iny solutions. Show your work $93+12 x=3(1-4 x)+96$

Find the mean, median, and mode for the following data set. Round your answers to one decimal place, if necessary. $-15$ $9$ $21$ $18$ $18$ Part: $0/2$ Part 1 of 2 Find the mean and median. Mean $=$ Median $=$

Question 3 (Mandatory) (1 point) Saved The population of a village can be modelled by the function $P(x) = -22.5x^2 + 428x + 1100$ , where x is the number of years since 1990. According to the model, when will the population be the highest?

Blood pressure in women: The three quartiles for systolic blood pressure in a sample of 1213 women between the ages of 20 and 29 were $Q_1 = 101$ , $Q_2 = 111$ , and $Q_3 = 118$ .
Part: 0 / 3
Part 1 of 3
Find the IQR.
IQR =

Find the x- and y-intercepts of the graph of $7x + 7y = 21$ . State each answer as an integer or an improper fraction in simplest form. x-intercept: y-intercept:

Question 4 (Mandatory) (1 point) Determine the values of $a$ , $h$ , and $k$ that make the equation. $-3x^2 + 9x - 6 = a(x - h)^2 + k$ .

A cylinder with a height of 12.58 feet is shown. Its approximate volume is 377.35 cubic feet.
12.58 ft
$r$
Enter the radius of the cylinder, in feet below. Round your answer to the nearest hundredth.

Convert the angle to D°M'S'' form.
$48.42^\circ$
$48.42^\circ = \Box^\circ \Box' \Box ''$
(Round to the nearest second as needed.)

If you place a 24 -foot ladder against the top of a 20 -foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answer

Question 8 (Mandatory) (1 point) Use the quadratic formula to solve $-6x^2 + 5x + 8 = 0$ . Round your answer to two decimal places.

Question 12 (Mandatory) (1 point)
What number must you add to $x^2 + 12x$ to create a perfect square?

Find the limit as $x$ approaches 3 for the expression $5x^{2} + 4x + 2$ .

Solve the initial value problem: $y'' + 18x = 0$ , with $y(0) = 2$ and $y'(0) = 2$ . Find $y = \quad: \cdots \quad:$

How many pounds are in a 25 kg box of welding rods? How many kg for $9 \mathrm{lbs}$ ? Use $1 \text{ kg} \approx 2 \frac{1}{4} \text{ lbs}$ .

Solve the equations: $2 \sqrt{x+8}=4$ , $\sqrt{3 x+6}-9=0$ , and $\frac{2 \sqrt{2 x-8}}{4}=\sqrt{2 x+6}=\sqrt{-2 x+15}$ .

Evaluate the limit: $\lim _{x \rightarrow 196} \frac{\sqrt{x}-14}{x-196}$ to three decimal places or state DNE.

You need to cut 7 pieces of length $5 \frac{3}{4}$ inches. What is the total length of keystock required in inches?

Calculate the total length of flatbar needed to weld 5 "L" brackets with dimensions $63/4"$ for horizontal and $7 \, 5/8$ for vertical. Provide the answer in feet and inches (e.g., 7'-4 1/2").

Solve the initial value problem: $y'' + 18x = 0$ , with $y(0) = 2$ and $y'(0) = 2$ . Find $y =$ .

Find the gas consumption rate if you drive 364 miles using 13 gallons: $\text{Rate} = \frac{364}{13}$ miles per gallon.

Solve the initial value problem: $y^{\prime \prime}+18 x=0$ , with $y(0)=2$ , $y^{\prime}(0)=2$ . Find $y=...$

Find all values of $r$ for which $y=r x^{2}$ satisfies the equation $y^{\prime}=9 x$ . Enter answers as a list. $r=$

How many $1/2$ " roundstock pieces of $61/4$ " can you cut from a 48" piece, ignoring waste?

Find the missing side in right triangle $ABC$ with $a=5$ and $b=12$ using the Pythagorean theorem. Then, calculate the six trigonometric functions for angle $B$ .

Evaluate the limit or state if it doesn't exist: $\lim _{x \rightarrow 0} \frac{\sin (15 x)}{x}=$ (3 decimal places or DNE)

Find $f(99)$ given the function $f(x)=5-\frac{x}{99}$ .

Find the growth constant $k$ for a trout population growing from 2500 to 6250 in 1 year, with a capacity of 25000. When will it reach 12900? $k=$ $\therefore \mathrm{yr}^{-1}$ Time to 12900: $\approx$ - years.

How many $61 / 4^{\prime \prime}$ pieces can you cut from a 48" roundstock? Ignore kerf waste.

How many 6 $1/4$ pieces can be cut from a 48" roundstock, ignoring kerf waste?

Find the average rate of change of $f(t)=t^{2}-2t$ from $t=2$ to $t=5$ . Show your work.

How many 8" sections of I-beam can be cut from 320 lbs if each weighs 12 $\frac{3}{8}$ lbs?

Find the unknown side of right triangle $ABC$ with $a=7$ and $c=14$ . Then calculate the six trig functions for angle B.

Evaluate the integral using substitution: $\int -x(5-8x)^{5} \, dx = C$ .

In triangle $ABC$ , with $a=7$ and $c=14$ , find side $b$ using the Pythagorean theorem and calculate $\sin B$ and $\cos B$ .

Find the unknown side length of right triangle $ABC$ using the Pythagorean theorem, given $a=6$ and $c=7$ . Then, calculate the trig functions for angle B, rationalizing denominators if needed.

Convert 25 kg of welding rods to pounds and find kg needed for 9 lbs. Use $1 \text{ kg} \approx 2.25 \text{ lbs}$ .

Find the wavelength of a photon with energy $6.89 \times 10^{-19} \mathrm{~J}$ .

Find the energy of a photon with a wavelength of $999 \mu \mathrm{m}$ .

How many photons are in a laser pulse with energy $7.53 \mathrm{~mJ}$ at a wavelength of $601 \mathrm{~nm}$ ? Use 3 sig figs.

How many photons are in a laser pulse with energy $5.56 \mathrm{~mJ}$ at a wavelength of $401 \mathrm{~nm}$ ? Use 3 sig figs.

Find the limit: $\lim_{x \rightarrow -6} \frac{x+6}{x^{2}+x-30}$ and give your answer to three decimal places.