<span>If I have a bolt that has a diameter of 1.125 inches and a hole that's 1.300 inches with a tolerance of +/- 0.025 inches, what's the larger even tolerance I can have on the bolt to ensure it will pass through the hole? Answer: +/- 0.150 inches.</span>

8 0

3 years ago

What the prime factorization on 75?<br><br>

nikklg [1K]

Answer:

3*5^2

Step-by-step explanation:

75 is divisible by 3

75/3 = 25

25 is not divisible by 3, but it is divisible by 5.

25 = 5^2.

25/25 = 1. We are done.

3 0

3 years ago

What is the sum of the geometric series in which a1 = −5, r = 3, and an = −405?

xxMikexx [17]

$a_1=-5;\ r=3;\ a_n=-405\\\\a_n=a_1r^{n-1}\\\\subtitute\\\\-5\cdot3^{n-1}=-405\ \ \ |divide\ both\ sides\ by\ (-5)\\\\3^{n-1}=81\\\\3^{n-1}=3^4\iff n-1=4\to n=5\\\\S_n=\dfrac{a_1(1-r^n)}{1-r}\\\\S_5=\dfrac{-5(1-3^5)}{1-3}=\dfrac{-5(1-243)}{-2}=\dfrac{5\cdot(-242)}{2}=5\cdot(-121)=-605\\\\\\Answer:\boxed{S_5=-605}$

4 0

3 years ago

20. Short Response A company is experimenting with two new boxes for packaging merchandise. Each box is a cube with the side len

Anni [7]

We are tasked to solve for the ratio of the two boxes. Boxes are cubes. We can use the formula in solving the surface area of the box as shown below:
Surface Area of Cube = 6a² where "a" is the length of the side.
For smaller box:
Area= 6(12)²=864
Area =864
For the larger box:
Area = 6(18)²
Area=1944

Then, the ratio is:
Area smaller box/Area larger box =864/1944
Ratio=4:9

8 0

3 years ago