Answer: 5894.2
Step-by-step explanation:
You'll want to follow PEMDAS to simplify this expression.
1.) P - Parentheses
2.) E - Exponents
3.) M - Multiplication
4.) D - Division
5.) A - Addition
6.) S - Subtraction
We'll start with what's inside the parentheses:
(2.4 × 1018) + (3.4 × 1015)
(2,443.2) + (3,451)
Now all you have to do is add the values together to get your answer!
2,443.2 + 3,451
5894.2
Answer:
9
Step-by-step explanation:
Find the factors of each number
18 - 1, 2, 3, 6, 9, 18
36 - 1, 2, 3, 4, 6, 9, 12, 18, 36
45 - 1, 5, 9, 45
The highest common factor is 9. So there is 9 boxes in a pack.
We are given square with side length l. The largest circle that we can cut from that square has diameter equal to that side. This circle is called inscribed circle.
When cutting circle from square paper we will be left with some extra paper. Area of that extra paper can be calculated using formula:
area_of_extra_paper = area_of_square - area_of_circle
Now we can insert formulas:

This is area of extra paper when we cut one circle. When we cut multiple circles we have:

Where:
N = number of circles
This formula is roughly:
Answer:
length = 36 ft; width = 12 ft
Step-by-step explanation:
Let the width be x.
The length is 3x.
The perimeter is the sum of two lengths and two widths, and it equals 96 ft.
3x + 3x + x + x = 96
8x = 96
x = 12
Width = x = 12 ft
Length = 3x = 3(12 ft) = 36 ft
Answer:
y = 6x +2
Step-by-step explanation:
It is useful to start with the point-slope form of the equation for a line when you are given a point and a slope.
y -k = m(x -h) . . . . line with slope m through point (h, k)
y -(-22) = 6(x -(-4))
y +22 = 6x +24 . . . simplify
y = 6x +2 . . . . . . subtract 22