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Elenna [48]
3 years ago
9

the Georgia aquarium in Atlanta is about 2.63*10^3 inches long, 1.26*10^2 inches wide, and 3*10^1 inches deep at it's largest po

int. Find it's approximate volume.​
Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0

Answer:

9.9414*10^{6}\ cubic\ inches\\

Step-by-step explanation:

Hello, I can help you with this ,

assuming the aquarium has a normal shape

The volume can be calculated with:

Volume= length*width*depth

Step one

according to the information in the question

length\ =2.63*10^{3}\ inches \\width\ =1.26*10^{2}\ inches \\depth\ =3*10^{1}\ inches\\

put the values into the equation

Volumen=2.63*10^{3}\ inches *1.26*10^{2}\ inches *3*10^{1}\ inches

combine similar terms

Volumen=2.63*10^{3}\ inches *1.26*10^{2}\ inches *3*10^{1}\ inches\\Volume=(2.63*1.26*3)(10^{3}*10^{2}*10^{1})(inches *inches *inches )\\Volume=(9.9414)(10^{3+2+1})in^{3} \\Volume=(9.9414)(10^{6})in^{3}

Have a good day.

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kow [346]

The value of h(t) when t=\frac{15}{32} is 10.02.

Solution:

Given function h(t)=-16t^2+15t+6.5

To find the value of h(t) when t=\frac{15}{32}:

h(t)=-16t^2+15t+6.5

Substitute t=\frac{15}{32} in the given function.

$h\left(\frac{15}{32} \right)=-16\left(\frac{15}{32} \right)^2+15\left(\frac{15}{32} \right)+6.5

            $=-16\left(\frac{225}{1024} \right)+15\left(\frac{15}{32} \right)+6.5

Now multiply the common terms into inside the bracket.

           $=-\left(\frac{3600}{1024} \right)+\left(\frac{225}{32} \right)+6.5

Now, in the first term, the numerator and denominator both have common factor 16. So reduce the first term into the lowest term.

          $=-\left(\frac{225}{64} \right)+\left(\frac{225}{32} \right)+6.5

To make the denominator same, take LCM of the denominators.

LCM of 64 and 32 = 64

        $=-\left(\frac{225}{64} \right)+\left(\frac{225\times2}{32\times2} \right)+6.5\times\frac{64}{64}

        $=-\frac{225}{64} +\frac{450}{64}+\frac{416}{64}

        $=\frac{-225+450+416}{64}

       $=\frac{641}{64}

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$h\left(\frac{15}{32} \right)=10.02

Hence the value of h(t) when t=\frac{15}{32} is 10.02.

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Step-by-step explanation:

Recipe needs 9 cups of flour, Rob has added 3 cups already so he needs to add 6 more cups to make it 9 cups.

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