Answer and Step-by-step explanation:
7.
The <u>volume</u> of a cylinder is
, in which:
r = radius
h = height
d = 2 × r
will equal 3.14.
Plug it in to the equation.

18990.72
is the answer. (2nd Answer choice)
8.
x = -2
Expression is:

Plug -2 in for x.

1 is the answer choice. (1st Answer choice).
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer: 13 packages.
Step-by-step explanation:
This can be translated to:
Tim has 39 pairs of headphones and 13 music players. Tim wants to sell all the headphones and music players in identical packages. What is the largest number of packages that Tim can do?
To solve this we must find the largest common factor between 39 and 13.
to do this, we divide the smaller number by different integers, and see if the result also divides the larger number into an integer.
13/1 =13 and 39/13 = 3
So 13 is the largest common factor.
This means that we can make 13 packages, each with:
39/13= 3 headphones
13/13 = 1 music players
Ok, so the first thing you would do is find the absolute value of the first set of numbers which would be 4n-1. Then you would start to simplify the whole equation using sadmep. You should add 1 and divide by 4.
Answer: 75 is a composite number. 75 = 1 x 75, 3 x 25, or 5 x 15. Factors of 75: 1, 3, 5, 15, 25, 75. Prime factorization: 75 = 3 x 5 x 5, which can also be written 75 = 3 x 5².
The volume of the sphere is given by:
V1 = (4/3) * (pi) * (r ^ 3)
Where,
r: sphere radio
Substituting values:
V1 = (4/3) * (3.14) * ((1/2) ^ 3)
V1 = 0.523 units ^ 3
The volume of the cube is given by:
V2 = L ^ 3
Where,
L: length of the sides
Substituting values:
V2 = 1 ^ 3
V2 = 1 units ^ 3
The unoccupied space is:
V2-V1 = 1-0.523
V2-V1 = 0.477 units ^ 3
Answer:
The unoccupied volume remaining inside the cube is:
0.477 units ^ 3