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noname [10]
2 years ago
10

What is the maximum volume of water a hamster bath could hold with a deph of 1 2/3 , a length of 2 1/3 inches and width of 2 inc

hes.
Mathematics
1 answer:
lidiya [134]2 years ago
7 0

Answer:

7\frac{7}{9}in^{3}

Step-by-step explanation:

Volume of a prism can be found using the general formula:

V = l x w x h, where l = length, w = width and h = height

Given the dimensions of l = 2\frac{1}{3}in; w = 2in and h = 1\frac{2}{3}in, you can first convert your mixed numbers to improper fractions and then multiply.

2\frac{1}{3}in=\frac{5}{3}

1\frac{2}{3}in=\frac{7}{3}

V = \frac{5}{3}*\frac{7}{3}*\frac{2}{1}=\frac{70}{9}=7\frac{7}{9}in^{3}

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If it takes 10 seconds for 10 printers to print out 10 pages of paper, how many seconds will it take 50 printers to print out 50
Fed [463]

Lets use the formula RWT=J to solve this, where,

  • R is the rate
  • W is the number of workers/things
  • T is time
  • J is number of jobs/things

<em><u>"If it takes 10 seconds for 10 printers to print out 10 pages of paper"</u></em> - here -

W is 10 printers, T is 10 seconds,  and J is 10 pages. We can write:

R(10)(10)=10\\R(100)=10\\R=\frac{10}{100}\\R=0.1


<u><em>"how many seconds will it take 50 printers to print out 50 pages of paper"</em></u><em> - here we use R=0.1 (previously found) to figure out T.</em>

<em>RWT=J\\(0.1)(50)T=50\\5T=50\\T=\frac{50}{5}\\T=10</em>

So it will take 10 seconds for 50 printers to print 50 pages.


ANSWER: 10 seconds

4 0
2 years ago
Read 2 more answers
In 2012, on average, about $9.46\times10^{-1}$ pound of potatoes was produced for every $2.3\times10^{-5}$ acre harvested. How m
muminat

Answer:

4.113 × 10⁴ pounds per acre = 41,130 pounds per acre to the nearest pounds per acre

Step-by-step explanation:

9.46 × 10⁻¹ pounds of potatoes were produced for every 2.3 × 10⁻⁵ acre harvested. The average pounds of potatoes harvested per acre would be pounds of potatoes/acres harvested =  9.46 × 10⁻¹ pounds/2.3 × 10⁻⁵ acre = 4.113 × 10 ⁻¹⁻⁻⁵ = 4.113 × 10⁵⁻¹ = 4.113 × 10⁴ pounds per acre = 41,130 pounds per acre to the nearest pounds per acre.

6 0
2 years ago
Which of the following values are in the range of the function graphed below?
Elanso [62]
Hello!

The range is all of the y-values of the function. As we can see, the function is at y-values 0, -2,-4 and -6.

Therefore, our answers are 0 ,-2 and -6.

I hope this helps!
4 0
2 years ago
Read 2 more answers
Share 747 pounds in the ratio 2:7 between tom and ben
svlad2 [7]
2x+7x=747
9x=747
x=83

83(2) = 166
83(7) = 581
6 0
2 years ago
Read 2 more answers
Set up a double integral for calculating the flux of the vector field F⃗ (x,y,z)=xi⃗ +yj⃗ through the open-ended circular cylind
katrin [286]

Parameterize the cylinder (call it S) by

\vec s(\theta,z)=\sqrt8\cos\theta\,\vec\imath+\sqrt8\sin\theta\,\vec\jmath+z\,\vec k

with 0\le\theta\le2\pi and 0\le z\le9. Then

\vec F(x(\theta,z),y(\theta,z),z(\theta,z))=\sqrt8\cos\theta\,\vec\imath+\sqrt8\sin\theta\,\vec\jmath

Take the normal vector to S to be

\vec s_\theta\times\vec s_z=\sqrt8\cos\theta\,\vec\imath+\sqrt8\sin\theta\,\vec\jmath

Then the flux of \vec F across S is

\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^{2\pi}\int_0^9\vec F(x(\theta,z),y(\theta,z),z(\theta,z))\cdot(\vec s_\theta\times\vec s_z)\,\mathrm dz\,\mathrm d\theta

=\displaystyle\int_0^{2\pi}\int_0^98(\cos^2\theta+\sin^2\theta)\,\mathrm dz\,\mathrm d\theta=\boxed{144\pi}

7 0
2 years ago
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