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Ludmilka [50]
3 years ago
12

What is the volume of a shoe box with length 13 inches, width 7 inches, and height 5 inches? V = lwh in3

Mathematics
2 answers:
Sati [7]3 years ago
4 0
The volume is 13*7*5. Therefore, the answer is 455 in^3
Mademuasel [1]3 years ago
3 0

A shoe box is in the shape of cuboid.

The formula to find volume of cuboid is given by:

Volume of a cuboid = (length × breadth × height) cubic units.

We are given:

length = 13 inches

width = 7 inches and

height = 5 inches.

Plugging these values in the formula of volume,

Volume of cuboid = L * W * H = 13 *7 *5 = 455 cubic inches.

Answer : The volume of shoe box is 455 cubic inches.

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Use stokes' theorem to evaluate c f · dr where c is oriented counterclockwise as viewed from above. f(x, y, z = xyi + 5zj + 7yk,
Helga [31]
The intersection can be parameterized by

C:=\mathbf r(t)=\begin{cases}x(t)=6\cos t\\y(t)=6\sin t\\z(t)=5-6\cos t\end{cases}

with 0\le t.

By Stoke's theorem, the integral of \mathbf f(x,y,z)=xy\,\mathbf i+5z\,\mathbf j+7y\,\mathbf k along C is equivalent to

\displaystyle\int_C\mathbf f(x(t),y(t),z(t))\cdot\mathrm d\mathbf r(t)=\iint_S\nabla\times\mathbf f\,\mathrm dS

where S is the region bounded by C. The line integral reduces to

\displaystyle\int_0^{2\pi}(36\sin t\cos t\,\mathbf i+(25-30\cos t)\,\mathbf j+42\sin t\,\mathbf k)\cdot(-6\sin t\,\mathbf i+6\cos t\,\mathbf j+6\sin t\,\mathbf k)\,\mathrm dt
=\displaystyle\int_0^{2\pi}(54(\cos3t-\cos t)-30(3\cos2t-5\cos t+3)+(126-126\cos2t)\,\mathrm dt
=\displaystyle\int_0^{2\pi}(36+96\cos t-216\cos2t+54\cos3t)\,\mathrm dt
=72\pi
4 0
3 years ago
Leslie decides to join a gym. She must pay a monthly fee plus a one-time fee to open a membership. This situation can be modeled
liq [111]

Answer:

see below (I hope this helps!)

Step-by-step explanation:

The x seems to represent the number of months that Leslie has joined the gym for. When x = 0 (basically when she hasn't started using her membership), she pays 55(0) + 50 = $50 so we know that the 50 represents the one-time fee. The only thing missing is the monthly fee and since we haven't defined what the 55 means, we can conclude that the 55 represents the monthly fee. This makes sense because 55x is simply 55 times x, and since x is the number of months, 55 times that would be how much Leslie pays per month, otherwise known as the monthly fee.

8 0
3 years ago
A city has a population of 240,000 people. Suppose that each year the population grows by 7.75%. What will the population be aft
emmasim [6.3K]

Answer:

\large\boxed{\sf \ \ \   404,699 \ \ \ }

Step-by-step explanation:

Hello,

At the beginning the population is 240,000

After 1 year the population will be

   240,000*(1+7.75%)=240,000*1.0775

After n years the population will be

   240,000\cdot1.0775^n

So after 7 years the population will be

   240,000\cdot1.0775^7=404699.058...

So rounded to the nearest whole number gives 404,699

Hope this helps

7 0
3 years ago
Cement pillars for a porch or 2 feet wide, 2 feet thick, and 8 feet tall, there are six pillars in all what is the total volume
PolarNik [594]
(8)(2)(2)=32
32(6)=192
Final answer: 192ft^3
3 0
3 years ago
He graph of the function f(x) = –(x + 6)(x + 2) is shown below.
Molodets [167]

The domain of the function is all real numbers, the range of a function is y ≤ 4

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = –(x + 6)(x + 2)

If we plot this function on the coordinate plane, we will see it is a graph of a quadratic function.

Here the no other details are given.

But we can say:

  • The domain of the function is all real numbers.
  • The range of a function is y ≤ 4
  • The x-axis intercept will be at (-6, 0) and (-2, 0).

Thus, the domain of the function is all real numbers, the range of a function is y ≤ 4

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

6 0
2 years ago
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