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Gelneren [198K]
3 years ago
6

Victor needs to box 61 laptop computers for a shipment. If he can fit 9 laptops in each box, how many boxes does he need?

Mathematics
1 answer:
just olya [345]3 years ago
7 0

Answer:

he would need 7 boxes

Step-by-step explanation:

61/9= 6 with a remainder of 7 therefore instead of 6 boxes you would need 7 to put the rest of the laptops in

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A cube has edges measuring 9 inches each find the volume
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When the Olympic Games were held outside Mexico City in 1968, there was much discussion about the effect the high altitude ( fee
Dmitrij [34]

Complete Question

When the Olympic Games were held outside Mexico City in 1968, there was much discussion about the effect the high altitude (7340 feet) would have on the athletes. Assuming air pressure decays exponentially by 0.5% every 100 feet, by what percentage is air pressure reduced by moving from sea level to Mexico City?

Round your answer to one decimal place.    

....... %

Answer:

The value is  x = 73.4\%

Step-by-step explanation:

From the question we are told that

   The  height of Mexico city is  h =  7340 feet

   The rate at which air pressure decays is  0.5% per 100 feet  

From the data given

    0.5 \%  \to 100 \ feet \\x\% \to  7340

=>  x = \frac{7340}{100}

=>    x = 73.4\%

   

3 0
3 years ago
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timurjin [86]

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5 0
2 years ago
Read 2 more answers
a. Calculate the volume of the solid of revolution created by rotating the curve y = 3 + 3 exp(-5 x) about the x-axis, for x bet
miskamm [114]

Answer:

A) The volume of solid is 18π cubic unit.

B) The volume of sphere is \dfrac{4}{3}\pi r^3

    a = -r , b = r , f(x)=\sqrt{r^2-x^2} and V=\dfrac{4}{3}\pi r^3

Solution A)

The given curve, y=3+3e^{-5x} rotate about x-axis between 2 to 4.

Please find attachment for solid figure or rotation.

Using disk method to find the volume rotation about x-axis

V=\int_a^b\pi R^2dx  

where, a = 2, b= 4 , R=y=3+3e^{-5x} and dx is thickness of disk.

V=\int_2^4\pi (3+3e^{-5x})^2dx

V=9\pi\int_2^4(1+e^{-10x}+2e^{-5x})dx

V=9\pi(x-\dfrac{1}{10}e^{-10x}-\dfrac{2}{5}e^{-5x})|_2^4)

V=9\pi(4-\dfrac{1}{10}e^{-40}-\dfrac{2}{5}e^{-20}-2+\dfrac{1}{10}e^{-20}-\dfrac{2}{5}e^{-10}))

V=9\pi (2-0)

V=18\pi

Hence, the volume of solid is 18π cubic unit

Solution B)

The equation of circle of radius r and centered at origin (0,0).

x^2+y^2=r^2

y=\sqrt{r^2-x^2}

The solid form is sphere of radius r.

Using disk method, to find volume of solid

V=\int_a^b\pi R^2dx  

where, a = -r, b = r , R=y=\sqrt{r^2-x^2} and dx is thickness of disk.

V=\int_{-r}^r\pi (r^2-x^2)dx

V=\pi(r^2x-\dfrac{x^3}{3})|_{-r}^r

V=\pi(2r^3-\dfrac{2r^3}{3})

V=\dfrac{4}{3}\pi r^3

Hence, the volume of sphere is \dfrac{4}{3}\pi r^3

4 0
3 years ago
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