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2 years ago

Use function notation to represent each statement. Six hours after it started raining, the amount of rain was 37 millimeters.

Mathematics

1 answer:

Naya [18.7K]2 years ago

3 0

Answer:

Step-by-step explanation:

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Let t be time in seconds and let r(t) be the rate, in gallons per second, that water enters a reservoir: r(t)=700−40t. a) For 0≤

Flura [38]

What you don't want is the value of r(t) becoming negative. Surely that would represent water escaping the reservoir.

How big can (t) get before water actually starts escaping the reservoir?

Essentially, to figure this out r(t) would have to be equal to 0.

700 - 40t = 0

40t=700

t=700/40=17.5

So the first answer is 17.5 seconds. After this amount of time has elapsed the reservoir will start to lose water as r(t) would become negative.

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The reservoir had the least amount of water in it before it was being filled. That was when t=0. The volume of water in the reservoir wasn't negatively impacted as not enough water had escaped it during the 17.5 to 30 second period.

7 0

2 years ago

Choose the phrase that correctly completes this sentence.

alisha [4.7K]

Answer:

both loans and credit have to be paid back by the borrower

Step-by-step explanation:

5 0

2 years ago

It is greater than 43 and less then 52 if you add the digits the sum is 8

Ksenya-84 [330]

44 is the answer 4+4=8

3 0

3 years ago

HELP FAST GIVE A DECENT AMOUNT OF POINTS! FOR EASY!

laila [671]

Answer:

The value of angle is 56.9°

Step-by-step explanation:

First, you have to find the length of hypotenuse using Pythagoras' Theorem, c² = a² + b² :

${c}^{2} = {a}^{2} + {b}^{2}$

$let \: a = 8.25 \\ let \: b = 6.45$

${c}^{2} = {8.25}^{2} + {6.45}^{2}$

${c}^{2} = 68.0625 + 41.6025$

${c}^{2} = 109.665$

$c = \sqrt{109.665}$

$c = 10.47cm \: (4s.f)$

In order to find θ, you have to apply Sine Rule :

$\sin(θ) = \frac{opposite}{adjacent}$

$let \: oppo. = 8.77 \\ let \: hypo. = 10.47$

$\sin(θ) = \frac{8.77}{10.47}$

$θ = { \sin( \frac{8.77}{10.47} ) }^{ - 1}$

$θ = 56.9 \: (1d.p)$

4 0

2 years ago

the high school debate team is developing a logo to represent their club. A scale drawing of the logo design is presented below,

Fantom [35]

Answer:

The enlargement will be 25 times and the enlargement area will be $2250 \text{ inches}^2$ .

Step-by-step explanation:

It is given that each grid unit is equal to 3 inches. SO we have to use this scale.

The total height of the scale drawing is 21 inch and the enlargement has a height given as 105 inches. Therefore it has scale factor of 5. It means that each dimension is enlarged by 5 times the dimension in the scale drawing. So the enlargement of the logo will be 25 times and the enlargement area will be 2250 square inches.

7 0

2 years ago