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Lunna [17]
3 years ago
15

Explain why the work is not correct.​

Mathematics
1 answer:
Valentin [98]3 years ago
6 0
There’s no work at all
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Hideki is draining a 45-gallon aquarium at a rate of 15 gallons per minute. What is the initial value of the linear function tha
kkurt [141]
3 min sence 15 will enter 45 3 times
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3 years ago
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Create an equivalent ratio to 10:16 by dividing both sides by 2. What is the equivalent ratio?
Darya [45]

10 / 2 = 5

16 / 2 = 8

The equivalent ratio is 5:8

5 0
2 years ago
an open rectangular cardboard box with a square base is to have a volume of 256cm^3. Find the dimensions of the box if the area
Anit [1.1K]
Let
x------> the length side of the square base of the box
y-------> the height of the box

we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²-------->  equation 1

<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>

surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x

step 1 
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm

the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm

5 0
3 years ago
Find the vertex of the function h(x) = x2 – 4x – 21
lakkis [162]

Answer: (2, -25)

Step-by-step explanation:

The x coordinate of the vertex is x=-\frac{-4}{2(1)}=2.

When x=2, h(2)=2^2 - 4(2)-21=-25.

So, the vertex is (2, -25).

7 0
1 year ago
The area of this parallelogram is 120 ft2 find the value of h
Free_Kalibri [48]

Answer: 60

Step-by-step explanation:

3 0
3 years ago
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