Evaluate the function at the given value:f(a)=-3a^3+10a^2-3a-7 at a=2
Btw this unit is on the division of polynomials

Answers

Answer 1
Answer:

Answer:

51

Step-by-step explanation:

Substitute the value of a

3(2)³+10(2)²-3(2)-7

3(8)+10(4)-3(2)-7

24+40-6-7

64-13

51


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8. The initial value of an investment is $12,000. If the investment earns an annual interest rate of 2.2%, what is its value in 10 years?a. $14,917.30
b. $14,640.00
c. $14,627.93
d. $87,655.58

Answers

Amount get after 10 year is $14,640

Given information:

Initial amount invested = $12,000

Annual interest rate = 2.2%

Number of year = 10 year

Find:

Amount get after 10 year

Computation:

Amount of interest = Initial amount invested × Annual interest rate × Number of year

Amount of interest = 12,000 × 2.2% × 10

Amount of interest = $2,640

Amount get after 10 year = Initial amount invested + Amount of interest

Amount get after 10 year = 12,000 + 2,640

Amount get after 10 year = $14,640

Learn more:

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Answer:

$14,917.30

Step-by-step explanation:Step 1: To calculate your interest rate, you need to know the interest formula I/Pt = r to get your rate. Here,

I = Interest amount paid in a specific time period (month, year etc.)

P = Principle amount (the money before interest)

t = Time period involved

r = Interest rate in decimal

Step 2: Once you put all the values required to calculate your interest rate, you will get your interest rate in decimal. Now, you need to convert the interest rate you got by multiplying it by 100. For example, a decimal like .11 will not help much while figuring out your interest rate. So, if you want to find your interest rate for .11, you have to multiply .11 with 100 (.11 x 100).

The Food and Drug Administration advises people against eating fish with mercury concentrations exceeding 1 part per million (ppm). Researchers wonder if the average mercury content of large-mouth bass in a certain state exceeds the limits and, thus, make such fish inedible. They randomly sample largemouth bass from randomly selected lakes in this state and record the amount of mercury in each fish. What is the correct parameter in this example

Answers

Answer:

The average amount of mercury in the population of large-mouth bass in this particular state

Step-by-step explanation:

Parameters are properties that describe entire populations rather than a sample. Therefore, since researchers are focused on the average mercury content of large-mouth bass, the correct parameter for the experiment would be the average amount of mercury in the population of large-mouth bass in this particular state.

This table gives a few (x,y) pairs of a line in the coordinate plane

Answers

Answer:

where is the coordinate plane picture?

Step-by-step explanation:

Picture?

Answer:

You forgot to add the picture.

Step-by-step explanation:

Tara is graphing the equation 4x + 2y = 10. Which of these shows the correct equation in slope-intercept form, slope, and y-intercept?

Answers

Answer:

y = -2x + 5

slope = -2

y intercept = 5

Step-by-step explanation:

Slope intercept form of equation of line is given by y = mx + c

where m is the slope of line

c is the y intercept i.e point where given line intersect y axis.

________________________________________________

given equation 4x + 2y = 10

we have to re-write this equation in form y = mx + c

4x + 2y = 10

subtraction 4x from LHS and RHS

4x + 2y - 4x= 10 - 4x

2y = 10- 4x

we have to eliminate 2 from y for that we

divide  LHS and RHS by 2 we

2y /2 = 10/2- 4x/2

y = 5 - 2x

rearranging it in y = mx+c form

y = -2x + 5

thus, m = -2 , c = 5

For a statistics project a community college student at Diablo Valley College decides to investigate cheating in two popular majors at DVC: business and nursing. She selects a random sample of nursing and business courses and convinces the professors to distribute a short anonymous survey in their classes. The question about cheating is one of many other questions about college life. When the student summarizes the data, she finds that 42 of the 50 business students and 38 of the 70 nursing students admitted to cheating in their courses. Can the student proceed with the calculation of the confidence interval for the difference in population proportions?

Answers

Answer:

The student can proceed with the calculation of the confidence interval for the difference in population proportions. This is because, from the data she has, 3/4 of the Business students admitted to cheating while 1/2 of the Nursing students admitted to cheating also.

This is above the average number of students in her given sample size which is valid for extrapolation to the College Majors being investigated.

Step-by-step explanation:

What is the purpose of proof in mathematics?

Answers

The mathematical proofs are useful to show that a mathematical statement is true. Generally a mathematical proof use other statements like theorems, or axioms. Also mathematical proofs are useful to know if the development of a theoretical process in other areas like physics is well done. Other thing that is useful of the proofs in mathematics is that it use a formal language  with symbols that minimize the ambiguity and make it universal.