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Morgarella [4.7K]
2 years ago
12

The graph shows the linear relationship between the number of gallons remaining in a water tank and the number of hours needed t

o drain it.
Which of these best represents the rate of change of the water remaining with
respect to time?

Mathematics
1 answer:
gregori [183]2 years ago
4 0

The best representation of the rate of change of the water remaining with respect to time is -35

<h3>How to determine the best represents the rate of change of the water remaining with respect to time?</h3>

The points on the graph are represented as:

(x, y) = (0, 700) and (20, 0)

The rate of change of the water remaining with respect to time is calculated as

Rate = (y2 -  y1)/(x2 - x1)

Substitute the known values in the above equation

Rate =(0 - 700)/(20 - 0)

Evaluate the quotient

Rate = -35

Hence, the best representation of the rate of change of the water remaining with respect to time is -35

Read more about linear graphs at:

brainly.com/question/14323743

#SPJ1

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Hope this helps!!
5 0
3 years ago
Recent studies indicate that the typical 50-year-old woman spends $350 per year for personal-care products. The distribution of
jek_recluse [69]

Answer:

P ( x_bar > 335 ) = 0.9826

Step-by-step explanation:

Given:

- Mean amount u = 350

- standard deviation s.d = 45/year

- Sample size n = 40

Find:

- The probability of sample mean P( x_bar > 335 )

Solution:

- P ( x_bar > 335 ) = P ( Z > sqrt(n)*(x_bar - u)/s.d)

                             = P ( Z > sqrt(40)*(335-350)/45)

                             = P ( Z > -2.111) = P ( Z < 2.111)

                             =  0.5 + P( 0 < Z < 2.111)

                              = 0.5 + 0.4826

                             = 0.9826

4 0
3 years ago
The product of six and a number is multiplied by nine
Artist 52 [7]
Product of 6 and a number means 6 times something (let's call it x)
6 times x or 6x

product is multipled by 9
(6x) times 9 or 9(6x)
using associative property or commutative I forgot
9(6x)=(9)(6)(x)=(54)(x)=54x
3 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the poitns (3, 1) and (-2, 5)
Anna007 [38]

Answer:

-4/5

Step-by-step explanation:

m=y2-y1/x2-x1

=5-1/-2-3

=-4/5





4 0
4 years ago
Read 2 more answers
If cos Θ = square root 2 over 2 and 3 pi over 2 &lt; Θ &lt; 2π, what are the values of sin Θ and tan Θ? sin Θ = square root 2 ov
densk [106]

Answer:

\huge\boxed{\sin\theta=-\dfrac{\sqrt2}{2};\ \tan\theta=-1}

Step-by-step explanation:

We have:

\\cos\theta=\dfrac{\sqrt2}{2},\ \dfrac{3\pi}{2}

For sine use:

\sin^2x+\cos^2x=1\to\sin^2x=1-\cos^2x

Substitute:

\sin^2\theta=1-\left(\dfrac{\sqrt2}{2}\right)^2\\\\\sin^2\theta=1-\dfrac{(\sqrt2)^2}{2^2}\\\\\sin^2\theta=1-\dfrac{2}{4}\\\\\sin^2\theta=\dfrac{4}{4}-\dfrac{2}{4}\\\\\sin^2\theta=\dfrac{4-2}{4}\\\\\sin^2\theta=\dfrac{2}{4}\to\sin\theta=\pm\sqrt{\dfrac{2}{4}}\\\\\sin\theta=\pm\dfrac{\sqrt2}{\sqrt4}\\\\\sin\theta=\pm\dfrac{\sqrt2}{2}

θ in IV quadrant, therefore sine is negative.

\sin\theta=-\dfrac{\sqrt2}{2}

For tangent use:

\tan x=\dfrac{\sin x}{\cos x}

Substitute:

\tan\theta=\dfrac{-\frac{\sqrt2}{2}}{\frac{\sqrt2}{2}}=-\dfrac{\sqrt2}{2}\cdot\dfrac{2}{\sqrt2}=-1

8 0
3 years ago
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