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2 years ago

Given the function f(x)= x^2 + 3x-4 determine the average rate of change of the function over the interval −8≤x≤−1.

Mathematics

1 answer:

PolarNik [594]2 years ago

4 0

Answer:

Step-by-step explanation:

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The height of a right circular cylinder is 1.5 times the radius of the base. What is the ratio of the total surface area to the

Naily [24]

Let r represent the radius of cylinder.

We have been given that the height of a right circular cylinder is 1.5 times the radius of the base. So the height of the cylinder would be $1.5r$ .

We will use lateral surface area of pyramid to solve our given problem.

$LSA=2\pi r h$ , where,

LSA = Lateral surface area of pyramid,

r = Radius,

h = height.

Upon substituting our given values in above formula, we will get:

$LSA=2\pi r\cdot (1.5)r$

Now we will find the total surface area of cylinder.

$TSA=2\pi r(r+h)$

$TSA=2\pi r(r+1.5r)$

$TSA=2\pi r(2.5r)$

$\frac{TSA}{LSA}=\frac{2\pi r(2.5r)}{2\pi r(1.5r)}$

$\frac{TSA}{LSA}=\frac{2.5r}{1.5r}$

$\frac{TSA}{LSA}=\frac{25}{15}$

$\frac{TSA}{LSA}=\frac{5}{3}$

Therefore, the ratio of total surface area to lateral surface area is $5:3$ .

4 0

2 years ago

Type your answer in the box.

Valentin [98]

Answer:

The standard deviation of the set is: 1.5

Step-by-step explanation:

The actual standard deviation is 1.58... but to 1 decimal place it's 1.5

4 0

2 years ago

what type of number is -3? A.rational. B. irrational C. whole number D. natural

Novosadov [1.4K]

Answer:

whole number

Step-by-step explanation:

its not a decimal and its not a fraction

6 0

2 years ago

What is he mode of 40 44 48 52

tresset_1 [31]

It does not have a mode
Mode: is the number that appears the most
in this situation, no number appears more than once

hope this helps

8 0

2 years ago

Which description best compares the two functions

solniwko [45]

Function 1 can be described by
c = 35 +10p
Function 2 can be described by
c = 35 +15p

The functions have the same initial value. <=== ANSWER

_____
The functions are not the same. The rate of change for Tour 2 is greater.

6 0

2 years ago

Read 2 more answers