Question
A particle has a velocity modeled by v(t)=2log4(t+3), measured in cm/s, over the interval 1≤t≤8. What is distance traveled from t=1 to t=8 ?
(You may either enter an exact answer or round your answer to the nearest tenth of a centimeter.) Provide your answer below:
□ cm
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Question 3 A dilation centered at the origin with a scale factor of 32 is applied to △XYZ.
The result is △X′Y′Z′, as shown below.
(a) The arrows below show that the coordinates on the left are mapped to the coordinates on the right. Fill in the blanks to glve the coordinates after the dilation.
original coordinates −final coordinates
X(3,6)→X′(□,□)Y(6,−9)Z(−Y′(□,□)Z(−12,−3)⎠⎞
(b) Choose the general rule below that describes the dilation mapping △XYZ to △X′Y′Z′.
(x,y)→(23y,23x)(x,y)→(32y,32x)(x,y)→(32x,23y)(x,y)→(23x,32y)(x,y)→(23x,23y)(x,y)→(x,32y)(x,y)→(32x,y)(x,y)→(32x,32y)
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11 A plant is already 41 centimeters tall, and it will grow one centimeter every month. The plant's height, H (in centimeters), after m months is given by the following function.
H(m)=41+m What is the plant's height after 14 months?
□
centimeters
If you place a 40-foot ladder against the top of a building and the bottom of the ladder is 17 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.
Answer Attempt 1 out of 3
ft
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\begin{tabular}{|c|c|}
\hline Miles Traveled & \begin{tabular}{c}
Gallons of Gas \\
Used
\end{tabular} \\
\hline 48 & 1 \\
\hlinea & 2 \\
\hlineb & 3 \\
\hlinec & 4 \\
\hline
\end{tabular} A motorcycle can travel 48 miles for every gallon of gas used. Use the unit rate to complete the table for the miles traveled by a motorcycle.
a=b=c=49
50
96
Intro
Done
\begin{tabular}{|c|c|}
\hline Miles Traveled & \begin{tabular}{c}
Gallons of Gas \\
Used
\end{tabular} \\
\hline 30.5 & 1 \\
\hline 61 & 2 \\
\hlinex & 3 \\
\hline 122 & 4 \\
\hline
\end{tabular}
gas used.
Use proportional reasoning to find the value of x that completes the table showing this relationship.
x=
Done
x | y=−x+3 | y=2x+1
---|---|---|
0.5 | 2.5 | 2
0.6 | 2.4 | 2.2
0.7 | 2.3 | 2.4
0.8 | 2.2 | 2.6
0.9 | 2.1 | 2.8
1 | 2 | 3 c. Which two x-values will the solution be between? (1 point) d. Identify a reasonable approximation for the solution of this system. (2 points) 6. Find the solution to a system of inequalities. (6 points)
I={x∈R/x≤21}, J={x∈R/∣x∣<1} et K=]−1;2] 1) Ecrire I et J sous forme d'intervalles
2) Déterminer I∩K et J∪K
3) Soit a∈I∩K
a) Encadrer a et montrer que : 41≤2a+31<1
b) développer puis réduire (2a+3)2
A rectangle has one side of 10 cm. How fast is the area of the rectangle changing at the instant when the other side is 13 cm and increasing at 2 cm per minute? (Give units.)
Answer:
The following situation involves a rate of change that is constant. Write a statement that describes how one variable changes with respect to the other, give the rate of change numerically (with units), and use the rate of change rule to answer any questions.
You run along a path at a constant speed of 2.8 miles per hour. How far do you travel in 1.5 hours? in 3.1 hours? Which statement describes this situation?
A. The distance traveled varies with respect to time with a rate of change of 2.8h/mi.
B. Time varies with respect to distance traveled with a rate of change of 2.8mi/h.
C. Time varies with respect to distance traveled with a rate of change of 2.8h/mi.
D. The distance traveled varies with respect to time with a rate of change of 2.8mi/h. What is the distance traveled after 1.5 hours?
□ miles
(Type an integer or a decimal.)
Identify the sampling method (simple random sampling, systematic sampling, convenience sampling, cluster sampling, or stratified sampling) in the following study.
Researchers studying the use of antidepressants select 74 participants between the ages of 20 and 29, 74 participants between the ages of 30 and 39 , and 74 participants between the ages of 40 and 49 . What type of sampling is used?
Convenience sampling
Simple random sampling
Cluster sampling
Stratified sampling
Systematic sampling
E10.7 (LO2) (Capitalization of Interest) McPherson Furniture started construction of a combins tion office and warchouse building for its own use at an estimated cost of €5,000,000 on January 1, 2019. McPherson expected to complete the building by December 31,2019 . McPherson has the following dets obligations outstanding during the construction period. Construction loan- 12% interest, payable semiannually, issued
December 31, 2018
Short-term loan- 10% interest, payable monthly, and principal payable at maturity on May 30, 2020
Long-term loan- 11% interest, payable on January 1 of each year. Principal payable on January 1, 2023
€2,000,000
1,600,000
1,000,000
Instructions
(Carry all computations to two decimal places.)
a. Assume that McPherson completed the office and warehouse building on December 31, 2019, 25 planned at a total cost of €5,200,000, and the weighted-average accumulated expenditures was €3,800,000. Compute the avoidable interest on this project.
b. Compute the depreciation expense for the year ended December 31, 2020. McPherson elected to depreciate the building on a straight-line basis and determined that the asset has a useful life of 30 years and a residual value of €300,000.
Determine the probability of the given complementary event.
What is the probability of randomly selecting a month of the year and not getting a month that contains the letter g ? The probability is □
(Type an integer or a simplified fraction.)
Davon is picking out some movies to rent, and he has narrowed down his selections to 4 children's movies, 3 documentaries, 6 comedies, and 5 mysteries. How many different combinations of 9 movies can he rent if he wants all 6 comedies? AnswerHow to enter your answer (opens in new window) 2 Points
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State the compound interest formula for interest paid more than once a year. Define all the variables.
A. A=P(1+nAPR)(nY)
B. A=P×(1+APR)y
C. A=P×e(APR×Y) Define the variables in the compound interest formula for interest paid more than once a year. Choose the correct answer below.
A. A is the accumulated balance after Y years, P is the starting principal, APR is the annual percentage rate (as a decimal), n is the number of compounding periods per year, and Y is the number of years.
B. A is the accumulated balance after Y years, P is the starting principal, APR is the annual percentage rate (as a decimal), and Y is the number of years.
C. A is the accumulated balance after Y years, P is the starting principal, APR is the annual percentage
Question 7 of 16 (1 point)
Question Attempt: 1 of 1
Time Remaining tarks
"general anxiety" of an individual, with higher GAS scores corresponding to more anxiety. (Dr. Elbod's assessment of anxiety is based on a variety of measurements, both physiological and psychological.) y^=8.32−0.27x. This line, along with a scatter plot of the sample data, is shown below.
\begin{tabular}{|c|c|}
\hline GAS score, x & \begin{tabular}{c}
Sleep time, y \\
(in hours)
\end{tabular} \\
\hline 6.5 & 6.1 \\
\hline 7.0 & 6.5 \\
\hline 5.9 & 7.9 \\
\hline 1.0 & 6.9 \\
\hline 1.6 & 8.6 \\
\hline 4.0 & 6.6 \\
\hline 3.0 & 7.1 \\
\hline 3.6 & 8.2 \\
\hline 9.1 & 6.1 \\
\hline 3.5 & 7.5 \\
\hline 7.9 & 6.9 \\
\hline 2.0 & 8.3 \\
\hline 9.2 & 5.3 \\
\hline 8.1 & 5.4 \\
\hline 5.2 & 6.2 \\
\hline
\end{tabular}
Send data to calculator
Send data to Excel Based on the study's data and the regression line, answer the following.
(a) From the regression equation, what is the predicted sleep time (in hours) when the GAS score is 8.1 ? Round your answer to one or more decimal places.
The diagram below shows a rectangle ABCF and a trapezium CDEF.
AF=7 cm, ED=8 cm and the perpendicular distance between FC and ED is 6 cm.
The area of the rectangle ABCF is 91 cm2. Diagram not drawn to scale Calculate the area of the trapezium CDEF.
You must show all your working.
Problème 2 : Voici une frise : Cette frise est composée de motifs qui se répètent.
Voici le détail et les dimensions d'un motif : • Calculer l'aire de la partie colorée de la frise.
6 cm
19 cm
The supply function for a product is given by p=q2+30q+772 and the demand function for this product is p=1300−2q, where p is the price in dollars and q is the number of thousands of units. Find the price that gives market equilibrium and the equilibrium quantity. What is the equilibrium price?
$
Solve.
0.13x+0.7(x−2)=0.01(3x−3) Select the correct choice below and, if necessary, fill in the answer box t complete your choice.
A. x=□ (Type an integer or a simplified fraction.)
B. The solution is all real numbers.
C. There is no solution.
A political newspaper, Keeping It Political, is interested in the distances voters in Vanville County live from their nearest polling station. Keeping It Political has hired you to estimate the population mean of all such distances for voters in this county. To estimate this population mean, you select a random sample of 23 Vanville County voters and record the distance (in km ) each voter lives from their nearest polling station. Assume the population is approximately normally distributed.
Based on your sample, follow the steps below to construct a 95% confidence interval for the population mean of all the distances voters in Vanville County live from their nearest polling station. (If necessary, consult a list of formulas.)
(a) Click on "Take Sample" to see the results for your random sample.
\begin{tabular}{|c|c|c|}
\hline Number of voters & Sample mean & \begin{tabular}{c}
Sample standard \\
deviation
\end{tabular} \\
\hline 23 & 4.192 & 2.041 \\
\hline
\end{tabular} Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for your 95% confidence interval. (Choose the correct critical value from the table of critical values provided.) When you are done, select "Compute".
\begin{tabular}{|l|l|}
\hline Sample size: \\
□
\end{tabular}
\begin{tabular}{|c|l|}
\hline \begin{tabular}{c}
Confidence \\
level
\end{tabular} & Critical value \\
\hline 99% & t0.005=2.819 \\
\hline 95% & t0.025=2.074 \\
\hline 90% & t0.050=1.717 \\
\hline
\end{tabular}
Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r. List the dimensions in non-decreasing order (the answer may depend on r).
For some positive constant C, a patient's temperature change, T, due to a dose, D, of a drug is given by T=(2C−3D)D2. What dosage maximizes the temperature change? D= The sensitivity of the body to the drug is defined as dT/dD. What dosage maximizes sensitivity? D=
Using the image below of the reflex arc, correctly identify the parts/pathway of communication. Number Structure Name
9 dorsal root ganglion
10 synapse
11 gray matter
12 motor neuron
13 sensory neuron
14 effector 15. Using the numbers from the image above, list in numerical order the pathway of communication from sensory receptor to effector (NOTE: #11 does not need to be used).
12 (4 pts.) Of 50 iPads available for checkout at the library, 10 are defective. A sample of 3 iPads are randomly selected without replacement. What is the probability that at least one of the iPads is defective? Round to the nearest thousandth. Show your work.
Morristown's current population is 404,784 residents, which is 10% smaller than at the time of its founding. What was the population of Morristown back then?
□ residents
Submit
In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. The researchers randomly selected 11 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02cm3. An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and x=8.18cm3 and s=0.7cm3. Conduct the appropriate test at the α=0.01 level of significance. State the null and alternative hypotheses.
H0:μ=9.02H1:μ<9.02
(Type integers or decimals. Do not round.)
Identify the t-statistic.
t0=□ (R
Drag a number to each box to match each expression on the left to its quotient on the right.
70
60
7
6 Expression Quotient
280÷40□2,800÷40□240÷40□2,400÷40□
3
Select all the correct answers.
Juan wants to start up his own e-commerce site. Which two items are necessary to accomplish this?
a browser
an antivirus program
a firewall
a domain name
a web server
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Introduction to the Internet: Mastery Test
Question 4
A tailor cuts 65 inches of thread to hem a dress. Which measurement is closest to the number of
centimeters of thread the tailor cuts? A 0.05 cm
B 52.46 cm
C 57.54 cm
D 139.7 cm Question #35
A teacher writes four expressions on a whiteboard. The expressions are shown in the table. | Expression 1 | 10x+2x+8 |
|---|---|
| Expression 2 | 6x+2(x+4) |
| Expression 3 | 12x+8 |
| Expression 4 | 2(6x+2x+8) | Which pair of expressions is equivalent? A Expression 1 and Expression 2
B Expression 1 and Expression 3
C Expression 2 and Expression 3
D Expression 2 and Expression 4
**Question #10**
A school store sells an average of 128 pencils each month. The table shows the number of pencils sold above or below the average monthly sales for August, September, and October. | Month | Number Above or Below |
|---|---|
| August | −34 |
| September | +17 |
| October | −5 | Which statement is true? A. The number of pencils sold in August is −5 below the average monthly sales.
B. The number of pencils sold in August is 34 above the average monthly sales.
C. The number of pencils sold in October is −17 above the average monthly sales.
D. The number of pencils sold in October is 5 below the average monthly sales. **Question #13**
Which equation and number line show that a number and its opposite are additive inverses? A. 5−0=0
B. 5+(−5)=0
C. −5+0=−5
D. −5+0=5
**Question #11**
This question was not included in the printed assessment as it is an unsupported question type. **Question #12**
Which scenario can be represented by a ratio of 2:9? A. the ratio of crayons to markers if there are 2 crayons and 9 markers
B. the ratio of hats to pairs of sunglasses if there are 0 hats and 2 pairs of sunglasses
C. the ratio of kittens to puppies in an animal rescue if there are 11 kittens and 2 puppies
D. the ratio of strawberries to blueberries in a bowl if there are 2 strawberries and 11 blueberries
Eat your cereal: Boxes of cereal are labeled as containing 14 ounces. Following are the weights, in ounces, of a sample of 12 boxes. It is reasonable to assume that the population is approximately normal.
13.04 14.01 13.13 13.14 13.12 13.08
13.21 14.01 13.11 13.10 13.17 13.18 Send data to Excel Part: 0 / 2 Part 1 of 2 (a) Construct a 98% confidence interval for the mean weight. Round the answers to at least three decimal places. A 98% confidence interval for the mean weight is □<μ<□.
6. Use the table to answer each part below.
a. Complete the table by using a rational number to describe each temperature. Low Temperatures in Yorkville | In Words | Rational Number |
|---|---|
| 7.2∘F below zero | |
| 12.5∘F above zero | |
| 7.5∘F above zero | |
| 14∘F below zero | |
| 8∘F below zero | | b. List the temperatures from least to greatest.
Homework: HW \#7: Sections 6.1-6.3
Question 9, 6.1.21-T
HW Score: 16.67%,8 of 48 points
Part 1 of 2
Points: 0 of 1
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Question 14 Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1 . Draw a graph and find the probability of a bone density test score greater than 0.59 .
Sketch the region. Choose the correct graph below.
A.
B.
c. D.
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Apply the 30∘-60∘-90∘ Triangle Theorem. What is the length of the shorter leg, a, and the longer leg, b, to the nearest inch, if the length of the hypotenuse, c, is 14 inches.
a=b=
Homework 93
Question 2 of 10 (1 point) I Question Attempt 1 of 3
Chikaodili Tax-Exempt Properties A tax collector wishes to see if the mean values of the tax-exempt properties are different for two cities. The values of the tax-exempt properties for the two samples are shown. The data are given in millions of dollars. At α=0.05, is there enough evidence to support the tax collector's claim
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that the means are different? Assume the variables are normally distributed and the variances are unequal. Use a 71−83 Plus/TI-84 Plus calculator.
\begin{tabular}{cccc|cccc}
\multicolumn{5}{c|}{ City A } & \multicolumn{3}{c}{ City B } \\
\hline 22 & 14 & 8 & 25 & 82 & 72 & 5 & 4 \\
2 & 30 & 44 & 11 & 75 & 12 & 9 & 12 \\
19 & 7 & 5 & & 68 & 81 & 2 & 60
\end{tabular}
Send data to Excel Use μ1 for the mean value of tax-exempt properties in City A . Part 1 of 4
(a) State the hvootheses and identify the claim with the correct hypothesis.
H0 :
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thyslaim
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Order: Furosemide 40 mg IV push
Supply: How many mLs will the nurse administer? mLs
Drug Reference: Furosemide is safe to administer over 1-2 minutes.
If you are administering over 1 minute, how many mLs will you administer per 15 seconds?
mLs/15 seconds
If you are administering over 2 minutes, how many mLs will you administer per 15 seconds? mLs/15 seconds
Solve (w+1)2−75=0, where w is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with cor If there is no solution, click "No solution."
w=
If the demand function for math anxiety pills is p=D(x)=16−2x, determine the consumer surplus at the market price of $2 dollars. Consumer surplus = ______ dollars
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Determine the following limit.
w→∞lim25w4+5w310w2+7w+3 Select the correct choice, and, if necessary, fill in the answer box to complete your choice.
A. \lim_{w \to \infty} \frac{10w^2 + 7w + 3}{\sqrt{25w^4 + 5w^3}} = \text{________} (Simplify your answer.)
B. The limit does not exist and is neither ∞ nor −∞.
Land costing \$140,000 was sold for \$173,000 cash. The gain on the sale was reported on the income statement as "Other revenue." On the statement of cash flows, what amount should be reported as an investing activity from the sale of land?
a. \$140,000
b. \$3,000
c. \$173,000
d. \$33,000