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3 years ago

The table shows values for the two functions fand

Mathematics

1 answer:

wlad13 [49]3 years ago

6 0

First find g(0). g(0) is -1. Now find f(-1). f(-1) will be 1. So your answer is C.

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Consider these dimensions for a cylindrical aquarium.

vagabundo [1.1K]

The amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.

<h3>What is a Cylindrical figure ?</h3>

A cylinder is a three dimensional figure with two identical circular faces at each end , and a curved surface.

It does not have an edges or vertices.

It is given in the question that

A cylinder with height 14 feet and radius 25 feet.

The volume of a cylinder.

V = π252(14)

The water than can be filled is equal to the volume of the cylinder

V = 11088 cu.ft

There the amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.

To know more about Cylindrical Figure

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6 0

2 years ago

If SS= 162 from a sample of 15 data, find s^2

Genrish500 [490]

Answer:

11.57

Step-by-step explanation:

We have a simple formula to solve this:

$s^2=\frac{SS}{n-1}$

where

SS is sum of squares

s^2 is the variance, and

n is the number of data points

We are given all the info to find out s^2. Hence,

$s^2=\frac{SS}{n-1}\\s^2=\frac{162}{15-1}\\s^2=\frac{162}{14}=11.57$

8 0

4 years ago

Pythagorean triples are given by the formulas x2 - y2, 2xy, and x2 + y2. Use the formulas for the Pythagorean triples to prove w

Arte-miy333 [17]

Let $k$ be an integer. Suppose there is a triangle with legs of length 16 and $2k+1$ . Then by the Pythagorean theorem, the length of the hypotenuse should be

$\sqrt{16^2+(2k+1)^2}=\sqrt{4k^2+4k+257}$

The formulas for Pythagorean triples say that if the legs are integers, then so must be the hypotenuse, because if $x=16$ and $y=2k+1$ are integers, then so are $x^2-y^2$ , $2xy$ , and $x^2+y^2$ .

However, $4k^2+4k+257$ is not a perfect square trinomial, which means for any integer $k$ , the length of the hypotenuse is not an integer, so such a triangle doesn't exist.

4 0

3 years ago

Given square ABCD, with point P on side AB , point Q on side BC, point R on side CD, and point S on side DA as shown. Additional

sveta [45]

The ratio of the area of square PQRS to the area of square ABCD is 5/9

<h3>Area of square ABCD</h3>

Assume the measure of the side lengths of the square ABCD is 1, then the area of the square ABCD is:

$A_1 = 1 \times 1$