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Ilya [14]
3 years ago
12

A child’s sandbox is 5 feet wide, 4 feet long, and 3 feet deep. Grace fills the sandbox so that the sand is 2 ½ feet deep. What

is the volume of the sand in the box?
Mathematics
1 answer:
geniusboy [140]3 years ago
4 0

Answer:

50

Step-by-step explanation:

So all you have to do is chance the 3 to a 2.5

5 * 4 * 2.5 = 50

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If 1200 cm^2 of material is available to make a box with a square base and an open top find the largest possible volume of the b
strojnjashka [21]
Surface area of box=1200 cm² 
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
 = the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>


<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>

by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>


<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000 
v=4000</span>
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2 years ago
At a 33-foot depth underwater, the pressure is 29.55 pounds per square inch (psi). At a depth of 66 feet, the pressure reaches 4
andrezito [222]
I am thinking it is times 2 everytime
4 0
3 years ago
Calculate the perimeter of this shape.
Sloan [31]

Step-by-step explanation:

Hello there!

Just double the given sides!

(18*2)+(12*2)=60 cm.

There you are!

:)

4 0
3 years ago
Plutonium-240 decays according to the function where Q represents the quantity remaining after t years and k is the decay consta
taurus [48]
Note: a radioactive decay constant is always negative.

time = [natural log(ending amount / beginning amount)] / k
time = ln (20 / 24) / -.00011
time = ln (5/6) / -.00011
time = -.018232155683 / -.00011
time = <span> <span> <span> 165.7468698455 </span> </span> </span>
time = <span> <span> <span> 165.75 years

</span></span></span>

7 0
3 years ago
Read 2 more answers
4 questions answer them by number them down try show you solved plzzzzz
AVprozaik [17]

31.51

r=−5

d=19

h<53

Step-by-step explanation:

7 0
3 years ago
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