MATHEMATICS COLLEGE

Find the product. write your answer in exponential form 9²•9-⁶

Answers

Answer 1

Answer:

Answer:

9^8

Step-by-step explanation:

9²•9⁶ = 9^(2+6) = 9^8

Answer 2

Answer:

Answer:

IF the 6 is negative : $9^(2)$ · $9^(-6)$ then the answer is 1/ $9^(4)$

If the 6 is positive then the answer is $9^(8)$

Step-by-step explanation:

Exponents are add when their bases are similar.

Related Questions

An automobile manufacturer would like to know what proportion of its customers are dissatisfied with the service received from their local dealer. The customer relations department will survey a random sample of customers and compute a 95% confidence interval for the proportion that are dissatisfied. From past studies, they believe that this proportion will be about 0.28. Find the sample size needed if the margin of error of the confidence interval is to be no more than 0.02. (Round your answer up to the nearest whole number.)
How many cups are in 3 gallons? 1 gallon = 16 cupsLabel your answer in cups.
Which expression is the result of factoring the expression below by taking out its greatest common factor? 8x^2-24=\,?8x 2 −24=?8, x, squared, minus, 24, equals, question mark Choose 1 answer: Choose 1 answer:
As sample size increases, which of the following is true for a t-distribution-Distribution will get taller and SD will increase-distribution sill get taller and SD will decrease-distribution will get shorter and SD will decreaseDistribution will get shorter and SD will increase
Explain how you can use the Triangle Sum Theorem to find the measures of the angles in an equilateral triangle.The angles of an equilateral triangle are . Let the measure of each angle be x. Then, by the Triangle Sum Theorem, x + x + x = 3x = °_____________. Solving for x gives x = °____________.

A manufacturer has a monthly fixed cost of $750 and a production cost of $15 for each item x that is produced. The product sells for $37 per item.Write the equation of the total cost function, C(x), in terms of x.
Write the equation of the total revenue function, R(x), in terms of x.
Write the equation of the profit function, P(x), in terms of x. Simplify P(x) completely.

Answers

Answer:

The cost function is C(x) = 14x + 100000,

the revenue function is R(x) = 20x,

the profit function is P(x) = R(x) − C(x) = 20x − 14x − 100000 = 6x − 100000.

Step-by-step explanation:

A binomial experiment consists of 16 trials. The probability of success on trial 9 is 0.48. What is the probability of success on trial 13?

Answers

Answer:

p = 0.48

Step-by-step explanation:

A binomial experiment is and experiment with n trials, every trial is identical and independent and every trial has the same probability p of success and 1-p of fail.

Then, we have a binomial experiment of 16 trials. it means that every trial has the same conditions. So, if the probability of success on trial 9 is 0.48, the probability of success on trial 13 is also 0.48.

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.y = e^x^2 ln 4x^3

Answers

$(d(lnx))/(dx)=(1)/(x)$

Answer:

$(dy)/(dx)=e^(x^2)((2x^2ln(4x^3)+3)/(x))$

Step-by-step explanation:

We are given that a function

$y=e^(x^2)ln(4x^3)$

We have to differentiate w.r.t x

$(dy)/(dx)=e^(x^2)* 2xln(4x^3)+e^(x^2)* (1)/(4x^3)* 12x^2$

By using formula

$(d(lnx))/(dx)=(1)/(x)$

$(d(e^x))/(dx)=e^x$

$(dy)/(dx)=e^(x^2)(2xln(4x^3)+(3)/(x))$

$(dy)/(dx)=e^(x^2)((2x^2ln(4x^3)+3)/(x))$

Hence, the derivative of function

$(dy)/(dx)=e^(x^2)((2x^2ln(4x^3)+3)/(x))$

A car company claims that its cars achieve an average gas mileage of at least 26 miles per gallon. A random sample of five cars form this company have an average gas mileage of 25.2 miles per gallon and a standard deviation of 1 mile per gallon. At α=0.06, can the company’s claim be supported, assuming this is a normally distributed data set?

Answers

Answer with explanation:

Let $\mu$ be the population mean.

Null hypothesis : $H_0:\mu\geq26$

Alternative hypothesis : $H_1:\mu<26$

Since the alternative hypothesis is left tailed, so the test is a left-tailed test.

Sample size : n=5 <30 , so we use t-test.

Test statistic: $t=\frac{\overline{x}-\mu}{(\sigma)/(√(n))}$

$t=(25.2-26)/((1)/(√(5)))\approx-1.79$

Critical t-value for t= $t_(n-1, \alpha)=t_(4,0.06)=1.9712$

Since, the absolute value of t (1.79) is less than the critical t-value , so we fail to reject the null hypothesis.

Hence, we have sufficient evidence to support the company's claim.

What should the rule be for the table?On a recent test, you were given the table displayed and
asked to write the rule that models it.
Subtract 6 from the x value to get the y value.
Multiply the x value by 1/2 to get the y value.
Multiply the x value by 1/4 to get the y value.
Add 6 to the x value to get the y value.
8
12
12
6
16
10

(look at picture) pls help

Answers

Answer: it’s A

Step-by-step explanation:

Answer:

I check the answer was a or Subtract 6 from the x value to get the y value

Sara has $180 to spend on a mixture of oranges and bananas. The oranges cost $3 per pound and the bananas cost $2 per pound. What equation can she use to graph a line showing the different amounts of oranges and bananas she can buy for $180?Explain what does each elements of the equation represent.

pleasee guys i need help