The circumference of a circle is increasing at a rate of 2π meters per hour. At a certain instant, the circumference is 12π meters. What is the rate of change of the area of the circle at that instant (in
square meters per hour)? Choose 1 answer:
A 6
B 4π
C 3π
D 36π
The radius of the base of a cylinder is increasing at a rate of 1 meter per
hour and the height of the cylinder is decreasing at a rate of 4 meters per
hour. At a certain instant, the base radius is 5 meters and the height is 8 meters. What is the rate of change of the volume of the cylinder at that instant (in
cubic meters per hour)? Choose 1 answer:
A 20π
B 180π
C −180π
D −20π
1. The three cables (AD, AC and AB) are used to support the 40 kg flowerpot. Determine the force
developed in cable AD. a) 2220 N
b) 763 N
c) 262 N
d) 77.7 N
e) None of the above
+
R
90
60'
Which equation gives the correct value for RQ?
tan 60=90/RQ
sin 60-90/RQ
cos 60=90/RQ
tan 60=90/x
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Quiz 1 (10 points)
ID number: n subjects were chosen to study the length of time an adult rinses with a mouthwash in
relation to the manufacturer's recommended rinsing time. The random variable Xi represents the
length of time in seconds the ith subject has rinsed.
15 20 31 13 32 23 26 18 Compute the following: 1. mean 2. Median. Interpret it in words 3. standard deviation 4. the first quartile Coefficient of variation Skewness coefficient
Solve the equation using the quadratic formula.
2x2−3x=−5 The solution set is □ \}
(Simplify your answer. Type an exact answer using radicals and i as needed. Use answers as needed.)
Solve the following logarithmic equation, using a calculator if necessary to evaluate the logarithm. Write your answer as a fraction or round your answer to two decimal places. log8(2x−2)=2
1. Clarisse invests $60,000 in money market accounts at three different banks. Bank A pays
2\% interest per year, Bank B pays 2.5\% and Bank C pays 3\%. She decides to invest twice as
much in Bank B as in the other two banks. After one year, Clarisse has earned $1575 in
interest, how much did she invest in each bank?
I
Use the information contained in the figure to determine the values of the six trigonometric functions of θ. Write the exact answers and simplify. Do not round. Answer 4 Points sinθ=cosθ=tanθ=cscθ=secθ=cotθ=
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If a man is heterozygous (Aa) for a trait, predict his possible sperm. A. His sperm would not carry either of the alleles.
B. 100% of his sperm would carry BOTH of the alleles (Aa)
C. 50% would carry a dominant (A) and 50% would carry a recessive (a)
D. 50% would carry two dominant alleles (AA) and 50% would carry two recessive alleles (aa)
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18 For which value of m does the graph of y=18x2+mx+2 have exactly one x-intercept?
0
9
12
16
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Initial Value: 1. Look for an initial value of 0. 2. The corresponding output value is the initial value. 3. Note: If there is no initial value of 0, you will need to use the rate of change to calculate the initial value. Rate of Change: 1. Pick 2 points from the graph. 2. Use rise over run to determine the rate of change. Ex. 3: Find the initial value and rate of change from a graph.
Question 4
Find the Cartesian equation for the polar curve r=tanθsecθ.
y=x2y=xy=x21x=y21x=y2 Question 5
Consider the region in the second quadrant between the circles x2+y2=4 and x2+y2=25, and above the line y=−2x. Polar inequalities for the region are
[Select] ≤ r ≤ [Select] , [Select] ≤ θ ≤ [Select] .
QUESTION 4 (5,18)(4,13.5)(3,9) Given the graph of a linear function, identify the steps used to find the initial value. Check all that apply.
The initial value corresponds to the y value when x=0.
The initial value corresponds to the y value when x=1.
Find corresponding y values when x=6, x=7, and x=8. Then plot the points to finish the line.
Find corresponding y values when x=2, x=1, and x=0. Then plot the points to finish the line.
Find the rate of change using rise over run.
Two bikers rode at a constant speed on a 150-meter track. The data here show each biker's distance for a certain part of the race. Who won the race and by how much?
Student 1
Time (sec)
Distance (m)
4
40
6
60
8
80
10
100
Student 2
y
100
(10,105)
90
80
Distance (m)
70
(8,84)
60
50
(6,63)
40
(4,42)
30
20
10
x
2 4 6 8 10 12 14
Time (sec)
For the toolbar, press ALT
From historical data, 18% of people work out daily (p=0.18). In a sample of 15 (n=15) people, use the binomial formula or your TI-8314 to determine the probability that exactly 4 (of the fifteen) work out daily. For a standard normal distribution:
a) What is the probability that z is less than 0.47 ?
b) What is the probability that z is greater than -1.83 ?
c) What is the probability that z is between -1.29 and 0.64 ?
d) What is the probability that z is between -1.96 and 1.96 ?
Kelly is investing money to help with her child's college fund. Assuming an interest rate of 4.86% compounded monthly, how much would she have to initially invest to have $73,000 after 15 years? In your response you must include the following for full points:
-Which formula will you use?
- Values of A, P, r, n, and t
- Show what it looks like to substitute the values into the equation (no need to use special math characters)
- Show all work or explain how to simplify.
- Include finals answer NOTE: no special/fancy math characters needed.
To represent an exponent such as (0.04)(2−3) you can simply type it like this (0.04)∧(2∗3)
To represent a fraction such as 43 you can simply type it like this 3/4
Who set up their equation correctly for the following question?
The cafeteria has 8 pounds of lasagna left over after lunch. If they make 51-pound servings with all of the leftover lasagna, how many servings do they have left over? Muhammad: 8÷51
Khalil: 51÷8
Sundir: 8×51
David: 8−51
You can earn 5 coins
Systems of Equations
43) Find the solution of the system of equations shown below.
{x+y=12x−3y=17
A. (−3,4)
B. (−4,3)
C. (3,−4)
D. (4,−3)
44) A system of equation is given.
{y=9x−1y=2x+3 If (x,y) is the solution to the system, what is the value of x ? Enter your answer as a fraction in
45) What is the y-value in the solution of this system of equations?
3x−y=3−2x+y=−12
A. y=−30
B. y=−9
C. y=9
D. y=30
46) For the system of equations shown, what is the value of a+b ?
3a+b=−6−3a−4b=−12
A. a+b=−4
B. a+b=0
C. a+b=2
D. a+b=6
5. (a) Estimate the area under the graph of f(x)=1+x2 from x=−1 to x=2 using three rectangles and right endpoints. Then improve your estimate by using six rectangles. Sketch the curve and the approximating rectangles. (b) Repeat part (a) using left endpoints. (c) Repeat part (a) using midpoints. (d) From your sketches in parts (a)-(c), which appears to be the best estimate?
Solve the following system of equations using Gaussian or Gauss-Jordan elimination.
x−2y+3z=−13x+y−z=−52x+3y−5z=−7 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The solution is □□□ .
(Type integers or simplified fractions.)
B. There are infinitely many solutions of the form □□ z).
(Type expressions using z as the variable.)
C. There is no solution.
Question 4 (7 points)
Find the slope of the line tangent to the curve given parametrically by
x=2e6t, y=(t−4)2
at the point (x,y)=(2,16).
Your score will be based entirely on the work you submit - no need to fill the box below.
Use Newton's method to estimate the two zeros of the following function. Start with x0=0 for the
x−x2+9 If x0=0, then x2=−4.73684.
(Do not round until the final answer. Then round to five decimal places as needed.) If x0=4, then x2=3.57218.
(Do not round until the final answer. Then round to five decimal places as needed.)
For each question, a diagram of the coordinate plane is provided with the terminal ray at a specific angle and one given coordinate (either the x-coordinate or the y-coordinate). The quadrant where the terminal ray lies is also shown. The terminal ray is in Quadrant I. the y-coordinate is 23 Uninown node type br.
Find the angle in degrees: □ 0 Find the angle in radians: □π and find the decimal for radians
□ Round 4 decimals places
Question 3
1 pts For each question, a diagram of the coordinate plane is provided with the terminal ray at a specific angle and one given coordinate (either the x-coordinate or the y-coordinate). The quadrant where the terminal ray lies is also shown.
The y-coordinate is −21, and the terminal ray is in Quadrant IV.
Find the angle in degrees: □ - Find the angle in radians: □π and find the decimal for radians
□ Round 4 defimals places. Quadrant IV
\begin{tabular}{|c|c|c|}
\hlinex & 4 & 8 \\
\hlinef(x) & 11 & 6 \\
\hlinef′(x) & -4 & -3 \\
\hline
\end{tabular} The table above gives selected values for a differentiable and decreasing function f and its derivatives. Let g be the decreasing function given by g(x)=f(4x)−f(2x), where g(2)=f(8)−f(4)=−5. What is (g−1)′(−5) ?
Find X2 (the probability distribution of the system after two observations) for the distribution vector X0 and the transition matrix T. X0=⎣⎡0.250.600.15⎦⎤, T=⎣⎡0.10.80.10.10.70.20.20.40.4⎦⎤ X2=⎣⎡0.000.000.00⎦⎤
Solve the system by the addition method.
{x2−3y2=−114x2+y2=8 The solution set is □ \}.
(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
Solve the system by the addition method.
{x2−4y2=−322x2+y2=17
The solution set is {}.
(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
4) In a pilot study we collected data on how many words 5 participants can remember. The data for this sample is 4, 5, 6, 7, and 8. In the general population, people can remember 8 words. What is the t value for this sample data?
QUESTION 5
Question
What is the y-intercept of the polynomial f(x) defined below? Write the y-value only. f(x)=−6−x3−9x2+3x Answer
Attempt 1 out of 3
Submit Answer
Confidence in banks: A poll conducted asked a random sample of 1268 adults in the United States how much confidence they had in banks and other financial institutions. A total of 144 adults said that they had a great deal of confidence. An economist claims that less than 11% of U.S. adults have a great deal of confidence in banks. Can you conclude that the economist's claim is true? Use both α=0.05 and α=0.10 levels of significance and the P-value method with the TI-84 Plus calculator. Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0:p=0.11H1:p<0.11 This hypothesis test is a left-tailed test. Part: 1/5 Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to at least two decimal places.
z=
Solve the system by the method of your choice. x2+2y2=729x+y=27 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is {}.
(Type an ordered pair, using integers or simplified fractions for the coordinates. Use a comma to separate answers as needed.) B. There is no solution.
Solve the triangle.
b=3, c=4, A=160∘ a≈
(Do not round until the final answer. Then round to the nearest tenth as needed.) B≈ °
(Do not round until the final answer. Then round to the nearest degree as needed.) C≈ °
(Do not round until the final answer. Then round to the nearest degree as needed.)
4 The Shoe Stop is having a sale on sneakers. The original price for a pair of high-top sneakers is \$135.00. The sale price for the sneakers is \$94.50. What is the percent decrease in the price of the sneakers?
A 30%
B 40.5%
C 42.9%
D 70%
An aptitude test is designed to measure leadership abilities of the test subjects. Suppose that the scores on the test are normally distributed with a mean of 570 and a standard deviation of 120. The individuals who exceed 700 on this test are considered to be potential leaders. What proportion of the population are considered to be potential leaders? Round your answer to at least four decimal places.
□
Fix any errors with subject-verb agreement below. Click "Submit Answer" if there are none. Measles were not a fun disease for Emma Ross to catch during her vacation.
✓1✓2✓3✓4✓5
6
×7
8
9
10 Caffeine in Tea Bags In a recent study, researchers found that the average amount of caffeine in tea bags is 26 mg . The standard deviation of the population is 3 mg . If a random sample of 46 newly manufactured tea bags has a mean of 25.1 mg of caffeine, can it be concluded that the new brand of tea bags contain less caffeine than the average found in the recent study? Use α=0.05, and use the P-value method with tables. Part: 0/5 Part 1 of 5
(a) State the hypotheses and identify the claim.
H0:□ (Choose one) ∇H1:□ claim not claim
Fix any errors with subject-verb agreement below. Click "Submit Answer" if there
are none. The glasses Ernesto de la Cruz is wearing today
makes him look like a professor.
isoscelestrianglesequilateraltrianglesRighttriangles 2. Use your knowledge of angle properties to identify the angles. /12
180∘−45∘=135∘180∘45∘180∘42∘94∘44∘42∘122∘42∘41∘35∘
A 45∘ B 135∘
C ______ D ______
E ______ F ______
G ______ H ______
I ______ J ______
K ______ L ______
Write a system of equations and solve the following problem:
At Dakota's Donut Shop, donuts cost \$1.50 and pigs-in-ablanket cost \$2.50 each. A customer bought twice as many donuts as pigs-in-a-blanket and spent a total of $16.50.
How many pigs-in-s-blanket did she buy?
Use the following graph to answer the next question.
AS2AS1AS3P2e2e1P1e3P3AD1Y2Y1Y3
Real GDP
If current output is Y1 and full-employment output is Y3, then in the long run the short aggregate supply schedule is
Multiple Choice
AS1.
AS2.
AS3.
AD.
Consider the following triangles to determine the exact values of the trigonometric functions.
(Hint: Leave as is, no need to simplify.)
(a) cos(α)=
(b) cos(β)=
(c) sin(α)=
(d) sin(β)=
(d) sin(α+β)=
(e) sin(2β)=