find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1). 50 POINTS!!!!!!! -5 with multiplicity 3 5 with multiplicity 3 -9 with multi

Step-by-step explanation:

Given are

Sides of the triangle measure 4 units, 6 units, and 7.21 units.

We need to compute the area of a circle whose circumference matches the triangle's perimeter.

The triangle's perimeter corresponds to the circle's circumference.

4 + 6 + 7.21 = 2πr, where r is the radius of the circle.

r = 2.73 units

Circle's area is:

or

A = 24 square units

Thus, the circle’s area is 24 square units.

Answer:

We conclude that less than or equal to 50% of the student body supports him significantly.

Step-by-step explanation:

Mike, while campaigning for the student government presidency, is keen to determine if more than 50% of the student body supports him.

A random sample of 100 students was surveyed, with 55 expressing support for Mike.

Let p = the proportion of students backing Mike.

Thus, Null Hypothesis, : p 50% {indicating that the proportion of supporters among the student body is significantly less than or equal to 50%}

Alternate Hypothesis, : p > 50% {indicating that the proportion of supporters among the student body is significantly more than 50%}

The test statistics to be utilized here One-sample z proportion statistics;

T.S. = ~ N(0,1)

where, = the sampled proportion in favor of Mike = = 0.55

n = number of sampled students = 100

Therefore, test statistics =

= 1.01

The z test statistic is 1.01.

At a significance level of 0.05, the z table provides a critical value of 1.645 for a right-tailed test.

Given that our test statistic falls below the critical value of z (1.01 < 1.645), we lack sufficient evidence to reject the null hypothesis as it remains outside the rejection region, leading to failure to reject our null hypothesis.

As a result, we conclude that less than or equal to 50% of the student body is in favor of him or the proportion supporting Mike is not significantly greater than 50%.

The effective annual interest rate calculations yield:
i = (1 + 0.064/12)^12 - 1 = 0.066
For year 1: the interest amounts to $613.80 (calculating $9300 multiplied by 0.066)
For year 2: the interest totals $654.31 (adding year 1’s interest to $9300 and multiplying by 0.066)
For year 3: the interest is $656.98 (following the same process as year 2)
For year 4: the interest is $657.16

The cumulative interest totals: $2582.25
The present value of this sum is:
P = 2582.23 / (1 + 0.066)^4 = $1999.72

Thus, the final answer is $1999.72.

Response:

, indicating the amount of earnings per working hours, designated as x

Detailed Explanation:

We have two distinct functions to analyze:

This function delineates the earnings based on units of x

Then the second function is

which illustrates the quantity of gallons of ice cream produced by Barrett each hour, with x representing the hours worked.

Our aim is to determine the composite function

resulting from substituting the output of as input for . Within this framework, the function signifies the amount of money accrued per number of working hours, x.

By substituting g(x) into the x variable of f(x), we obtain:

Answer:

$391

Step-by-step explanation: