2 years ago

A number x is equal to 7. 24. 48. What is the smallest positive integer y such that the product xy is a perfect cube

Mathematics

1 answer:

Tcecarenko [31]2 years ago

8 0

What’s the questionv

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A rectangular lamina of uniform density is situated with opposite corners at (0,0) and (15,4). calculate its radii of gyration a

Sphinxa [80]

First, you have to find the moment of inertia along the x and y axes. Constant density is denoted as k.

$I_{x}= \int\limits^15_0\int\limits^4_0 {k y^{2} } \, dx dy= \frac{1}{3}k (15-4)^4=4880.33k$

$I_{y}= \int\limits^15_0\int\limits^4_0 {k x^{2} } \, dx dy= \frac{1}{3}k (15-4)^4=4880.33k$

Then, the radii of gyration for

x = √[I_x/m]
y = [I_y/m]

where m = k(15-4)² = 121k. Then,

x = y = [4880.33k/121k] = 40.33

I hope I was able to help you. Have a good day.

7 0

3 years ago

Select the factors that can be divided out to simplify the multiplication problems: 8/15 * 5/16.

goblinko [34]

I think 2, 8, 5 <span>those are the factors that can be divided out to simplify the multiplication problem.</span>

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3 years ago

Determine the end behavior for function ƒ(x) = –x(x – 8)(2 – x).

saveliy_v [14]

It's a cubic with a positive x^3 coefficient. The general shape is "/".

It goes to -∞ for large negative x.
It goes to +∞ for large positive x.

4 0

3 years ago

If f(2) =20 and f(3) =10<br>F(4) = ,f(5)=

Arada [10]

F(4)=0 and F(5)= -10

5 0

3 years ago

Find the mean of the data set: 9 4 7 3 10 9

almond37 [142]

To find the mean, add up at the numbers and divide by the number of numbers in the set (6)

9 + 4 + 7 + 3 + 10 + 9 =
9 + 11 + 12 + 10
20 + 22
42

42 / 6 = 7

the mean is 7.

6 0

3 years ago

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