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enot [183]
3 years ago
11

A rectangular prism  has a volume of 144 cubic feet. The height of the prism is 6 feet. Give one possible pair of dimensions for

the base.
Mathematics
1 answer:
IrinaK [193]3 years ago
6 0
You're given the volume and height of rectangular prism.
To find the possible length and width: √144/6=24;
24 is the product of length and width, so now just divide 24 by 4 or 6 or 2 or...
24/4=6.
The possible length and width is 4 and 6.
Check: 4×6×6=144ft³
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A manager wishes to determine the relationship between the number of miles traveled​ (in hundreds of​ miles) by her sales repres
kati45 [8]

Answer:

y=3.53 x +37.92  

And for 0 miles if we use the model we got:

y(0)= 3.53*0 +37.92 = 37.92

But for this case. No is not reasonable for a representative to travel o miles and have a positive amount of sales.

Step-by-step explanation:

For this case we assume the following data:

Miles traveled (X): 2,3,10,7,8,15,3,1,11

Sales (Y): 31,33,78,62,65,61,48,55,120

We want to found a linear model like this one : y = mx+b. Where:

m=\frac{S_{xy}}{S_{xx}}  

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33  

And the slope would be:  

m=\frac{642.33}{182}=3.529  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.667  

\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.444  

And we can find the intercept using this:  

b=\bar y -m \bar x=61.444-(3.529*6.667)=37.917  

So the line would be given by:  

y=3.53 x +37.92  

And for 0 miles if we use the model we got:

y(0)= 3.53*0 +37.92 = 37.92

But for this case. No is not reasonable for a representative to travel o miles and have a positive amount of sales.

8 0
3 years ago
A mother seal is fed 5 fish for every 2 fish for its baby. If mother is fed 8 fish how many does the baby get
iogann1982 [59]
5/2 = 8/x

5x = 16

x = 16/5

x = 3.2 or 3 1/5 fish
7 0
3 years ago
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uysha [10]

Explanation:

See answer for explanation.

Answer:

5x-3+2x=x+7+6x

Answer: There are no solutions.

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What is 95 feet in inches
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Answer:

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Step-by-step explanation:

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3^{2} + 12 = 9 + 12 = 21

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