Which is less 2.5 or -2.5? Answer asap pls!

An elephant drinks 49 gallons of water per day. A rhinoceros drinks 21 gallons of water per day. What is the total amount of wat

Snowcat [4.5K]

Given:

An elephant drinks 49 gallons of water per day.

A rhinoceros drinks 21 gallons of water per day.

To find:

The total amount of water the animals will drink in 8 days.

Solution:

In each day,

Elephant drinks = 49 gallons

Rhinoceros drinks = 21 gallons

Total amount of water they will drink each day is

$49+21=70$

They will drink 70 gallons in each days.

So, total amount of water the animals will drink in 8 days is

$8\times 70=560$

Therefore, they will drink 560 gallons of water in 8 days.

4 0

3 years ago

The R.D. Wilson Company makes a soft drink dispensing machine that allows customers to get soft drinks from the machine in a cup

Vanyuwa [196]

Answer:

B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.

Step-by-step explanation:

to calculate mean

14.25+ 13.7 +14.02 +14.13+ 13.99 +14.04

= 84.13/6

= 14.02167

average = 14

s = 0.1837

test statistics t:

(bar(x)-mu)/(s/√n)

= 14.02167-14/0.1837/√6

0.02167/0.1837/2.4495

= 0.02167/0.07499

=0.28897

this is approximately 0.29

therefore B) The null hypothesis cannot be rejected since the test statistic is approximately t = .29,which is not in the rejection region.

4 0

4 years ago

Which of the following sets could be the sides of a right triangle?{2, 3, square root of 13} {5, 5, 2, square root of 10} { 5, 1

MA_775_DIABLO [31]

Answer:

{2, 3, √13}

Step-by-step explanation:

In a right triangle, the sum of the squares of the two shorter sides equals the square of the third side (Pythagoras).

Let's check each set of sides in turn.

A. {2, 3, √13}

2² + 3² = 4 + 9 = 13

(√13)² = 13

This is a right triangle.

B. {5, 5, 2, √10}

This is a quadrilateral (four sides).

C. {5, 12, 15}

5² + 12² = 25 +144 = 169

15² = 225

This is not a right triangle.

5 0

3 years ago

Which function has the greatest rate of change on the interval from x = 3 pi over 2 to x = 2π?

vodka [1.7K]

The average rate of change for the function f(x) can be calculated from the following equation
$\frac{f( x_{2})-f( x_{1} )}{ x_{2} - x_{1} }$

By applying the last formula on the given equations
(1) the first function f
from the table f(3π/2) = -2 and f(2π) = 0
∴ The average rate of f = $\frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 \pi - \frac{3 \pi}{2} } = \frac{0-(-2)}{ \frac{\pi}{2} }= \frac{2}{ \frac{\pi}{2} } = \frac{4}{\pi}$

(2) the second function g(x)
from the graph g(3π/2) = -2 and g(2π) = 0
∴ The average rate of g = $\frac{g(2 \pi)-g( \frac{3 \pi}{2} )}{2 
\pi - \frac{3 \pi}{2} } = \frac{0-(-2)}{ \frac{\pi}{2} }= \frac{2}{ 
\frac{\pi}{2} } = \frac{4}{\pi}$

(3) the third function h(x) = 6 sin x +1
∴ h(3π/2) = 6 sin (3π/2) + 1 = 6 *(-1) + 1 = -5
 h(2π) = 6 sin (2π) + 1 = 6 * 0 + 1 = 1
∴ The average rate of h = $\frac{f(2 \pi)-f( \frac{3 \pi}{2} )}{2 
\pi - \frac{3 \pi}{2} } = \frac{1-(-5)}{ \frac{\pi}{2} }= \frac{6}{ 
\frac{\pi}{2} } = \frac{12}{\pi}$

By comparing the results, The function which has the greatest rate of change is h(x)


So, the correct answer is option C) h(x)

4 0

4 years ago

The function f(x) is shown below

vampirchik [111]

Answer: 2

Step-by-step explanation:

A function composed with its inverse outputs the original input.

4 0

3 years ago