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Aleonysh [2.5K]

2 years ago

12

PLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answer

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1 answer:

Elena L [17]2 years ago

7 0

D- 4 is your correct answer :)

Hope this helps

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A trough of water is 20 meters in length and its ends are in the shape of an isosceles triangle whose width is 7 meters and heig

Vaselesa [24]

Answer:

a) Depth changing rate of change is $0.24m/min$ , When the water is 6 meters deep

b) The width of the top of the water is changing at a rate of $0.17m/min$ , When the water is 6 meters deep

Step-by-step explanation:

As we can see in the attachment part II, there are similar triangles, so we have the following relation between them $\frac{3.5}{10} =\frac{a}{h}$ , then $a=0.35h$ .

a) As we have that volume is $V=\frac{1}{2} 2ahL=ahL$ , then $V=(0.35h^{2})L$ , so we can derivate it $\frac{dV}{dt}=2(0.35h)L\frac{dh}{dt}$ due to the chain rule, then we clean this expression for $\frac{dh}{dt}=\frac{1}{0.7hL}\frac{dV}{dt}$ and compute with the knowns $\frac{dh}{dt}=\frac{1}{0.7(6m)(20m)}2m^{3}/min=0.24m/min$ , is the depth changing rate of change when the water is 6 meters deep.

b) As the width of the top is $2a=0.7h$ , we can derivate it and obtain $\frac{da}{dt}=0.7\frac{dh}{dt} =0.7*0.24m/min=0.17m/min$ The width of the top of the water is changing, When the water is 6 meters deep at this rate

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2 years ago

A serving size for pineapple-orange punch is 1/2 cup. Liam needs to make 72 servings of punch. He will use 8 pints of pineapple

Luden [163]

Since a serving is 1/2 cup and he needs 72 servings you can multiply 72 by 1/2 and find out that he needs to make 36 cups of punch. Two cups is a pint so he needs (36 / 2) 18 pints of juice. He already has the 8 pints of pineapple juice so 18 - 8 leaves 10 pints of orange juice.

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2 years ago

What is the local maximum value of the function? g (x)=x^4-5x^2+4

Neporo4naja [7]

$g(x)=x^4-5x^2+4 \\ g'(x)=4x^3-5 \cdot 2x^1+0=4x^3-10x \\ \\ 4 x^{3} -10x=0 \\ 2x(2x^2-5)=0 \\ 2x^2-5=0~~~~and~~~2x=0 \\ 2x^2=5~~~~~~~~~~~~~~~~~x=0 \\ x^2=2.5 \\ x= \sqrt{2.5} \\ x=1,58 ~~~~~~and ~~~~x= -1.58$
__-____-1,58____+_____0_______-__1,58_____+____>x

Locol max: 0

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2 years ago

5. What is the solution of |3x-3|_<18?

Mrrafil [7]

Answer : D

WORK...
$|3x-3| \leq 18
$

PART 1:
$3x-3 \leq 18
 add 3 on both sides... 3x \leq 21 divide by 3 on both sides... x \leq 7$

PART 2:
$3x-3 \geq -18 add 3 on both sides... 3x \geq -15
 divide 3 on both sides... x \geq -5$

plug both answers together..
$-5 \leq x \leq 7$

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3 years ago

There were 60 seventh grade students who signed up for soccer tryouts last year. This year, 48 seventh graders signed up for try

Lubov Fominskaja [6]

Answer:

20%

Step-by-step explanation:

(60 - 48) / 60 = 0.2 (20%)

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3 years ago