MATHEMATICS COLLEGE

The table below shows the linear function f.x: -6,-5,-4,-3,-2
f(x): 22,19,16,13,10
Determine the average rate of change of the given function over an interval [-5, -2].
A. -1/3
b.1/3
c.-3
D.3

Answers

Answer 1
Answer:

Answer:

The correct choice is C.

Step-by-step explanation:

The average rate of change of the given function over the interval [-5,-2] is the slope of the secant line connecting;

(-5,f(-5))

and

(-2,f(-2))

This implies that the average rate of change over [-5,-2]

=(f(-2)-f(-5))/(-2--5)

From the table; f(-2)=10 and f(-5)=19

We substitute and simplify to obtain;

Average rate of change

=(10-19)/(-2+5)

=(-9)/(3)

=-3
Answer 2
Answer:

Answer:

C. -3

Step-by-step explanation:

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Find the length of the curve. R(t) = 2 i + t2 j + t3 k, 0 ≤ t ≤ 1
Find the limit of the function by using direct substitution. limit as x approaches zero of quantity x squared plus eleven.
Use the given degree of confidence and sample data to construct a confidence interval for the population mean mu μ. Assume that the population has a normal distribution. A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with s equals =17.6 milligrams. Construct a​ 95% confidence interval for the true mean cholesterol content of all such eggs A. 175.9 mg less than < mu μ less than <194.1 mg B. 173.9 mg less than < mu μ less than <196.1 mg C. 173.8 mg less than < mu μ less than <196.2 mg D. 173.7 mg less than < mu μ less than <196.3 mg
Consider the following system of equations:Equation 1: 82 + 2y = 30Equation 2: 70 + 2y = 24Which variable pair should we try to eliminate?The x's because the coefficients are the same.The y's because the coefficients are the same.The x's because the coefficients are different?The y's because the coefficients are different?​

Find the area of the figure to the nearest square unit.

Answers

Answer:

357 mi²

Step-by-step explanation:

The shape is made of a triangle and a half-square

we will calculate the area of each one

  • The half square:

let A1 be the area of the half-circle:

A1= (10²*π)/2 = 50π mi²

  • The rectangle:

Let A2 be the area of the triangle:

A2= 10*20=200 mi²

  • The whole shape:

let At be the total area:

At =A1+A2= 200+50π =357.07≈ 357 mi²

Chili recipe makes enough for 4 servings. The recipe calls for 5 tomatoes. You plan on making enough chili for 10 servings. How many tomatoes will you use?​

Answers

Answer:There are 4 servings and if there is So we use 19 tomatoes

Step by Step explanation:U have to do addition i think cause we have just 5 tomatoes and i plan to make enought chili for 10 serving

Find 10th term of a geometric sequence whose first two terms are 2 and -8. Please answer!!

Answers

Answer:

The 10th term is -524,288

Step-by-step explanation:

The general format of a geometric sequence is:

a_(n) = r*a_(n-1)

In which r is the common ratio and a_(n+1) is the previous term.

We can also use the following equation:

a_(n) = a_(1)*r^(n-1)

In which a_(1) is the first term.

The common ratio of a geometric sequence is the division of the term a_(n+1) by the term a_(n)

In this question:

a_(1) = 2, a_(2) = -8, r = (-8)/(2) = -4

10th term:

a_(10) = 2*(-4)^(10-1) = -524288

The 10th term is -524,288

Ernie Rolph borrowed $6150 at 10% annual simple interest. If exactly 1 year later he was able to repay the loanwithout penalty, how much interest would he owe?
Ernie will owe $
in interest.

Show work!

Answers

Answer:

615

Step-by-step explanation:

6150 x 10%

6150 x 0.10 = 615

Answer:

615

Step-by-step explanation:

6150 ÷ 100 = 61.5

61.5 X 10 = 615

or

6150 X 0.1 = 615

Length of two sides of a triangle is given as 4cm and 4cm which triangle is this​

Answers

Answer:

isosceles triangle

Step-by-step explanation:

two equal sides. is this the question only?

PLEASE ANSWER ILL GIVE YOU BRAINLIEST

Answers

Answer:

V=3052.1 square units.

Step-by-step explanation:

Using the formulas

V=4

3πr^3

d=2r

Solving for V

V=1

1/6πd^3=1

1/6·3.14·18^3=3052.08

round to the nearest tenth place so your volume would be 3052.1 :)

Answer:

3052.1

Step-by-step explanation:

The formula for volume of a sphere: 4/3 x pi x r^3 (4/3 x pi x radius x radius x radius).

Here, only the diameter is shown. To find the radius, we must divide the diameter (18) by 2.

18 / 2 = 9

9 is the radius.

Now, we have our final equation:

4/3 x pi x radius x radius x radius

4/3 x 3.14 x 9 x 9 x 9 = 3052.08

(3.14 is commonly used for pi)

3052.08 rounded to the nearest tenth is 3052.1

Therefore, 3052.1 is the volume of the sphere.
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