=(-4/5)^2 * -3/50
square -4/5 first; remember -4/5^2 is the same as -4/5 * -4/5
=(-4/5 * -4/5) * -3/50
multiply -4 numerators; multiply 5 denominators
=(-4 * -4)/(5 * 5) * -3/50
=16/25 * -3/50
multiply numerators 16 & -3; multiply denominators 25 & 50
=(16 * -3)/(25 * 50)
= -48/1250
simplify by 2
= -24/625 (or -0.0384)
ANSWER: -24/625 (or -0.0384)
Hope this helps! :)
The expression that represents the volume of a rectangular-shaped box is: A. x³ + x² - 12x.
<h3>What is the Volume of a
Rectangular Prism?</h3>
A rectangular-shaped box is a rectangular prism. To find the volume of a rectangular-shaped box, we would apply the formula of the volume of a rectangular prism, which is expressed as: V = (length)(width)(height).
We are given the following dimensions of the rectangular-shaped box:
Let the height be represented as x
Height of the rectangular-shaped box = x in.
Length of the rectangular-shaped box = (x - 3) in.
Width of the rectangular-shaped box = (x + 4) in.
Plug in the values into the volume formula:
Volume of the rectangular-shaped box = (x - 3)(x)(x + 4)
Expand (x - 3)(x)(x + 4)
Volume of the rectangular-shaped box = x³ + x² - 12x.
Therefore, the expression that represents the volume of a rectangular-shaped box with the given dimensions is: A. x³ + x² - 12x.
Learn more about the volume of rectangular prism on:
brainly.com/question/12917973
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Answer:
1.) k = 5
2.) n = -20
3.) p = -13
4.) m = -450
5.) b = -38
6.) n = -24
7.) x = 21
8.) x = 12
9.) b = -2
10.) b = 5
Step-by-step explanation:
To solve all equations, do the reciprocal, or opposite of what is being done. For example, if a number and a variable are being multiplied, you would divide by the number to solve.
1.) 55 = 11k
(11 and k are being multiplied, so you would divide)
Divide by 11 on both sides:
55 = 11k
/11 /11
5 = k
2.) Add 15 on both sides:
n - 15 = -35
+15 +15
n = -20
3.) Divide by -6 on both sides:
78 = -6p
/-6 /-6
-13 = p
4.) Multiply by 18 on both sides:
m/18 = -25
18(m/18) = (-25)18
m = -450
5.) Add 20 on both sides:
18 = -20 - b
+20 +20
38 = -b
Divide by -1 on both sides:
38 = -b
/-1 /-1
-38 = b
6.) Subtract 12 on both sides:
12 + n/4 = 6
-12 -12
n/4 = -6
Multiply by 4 on both sides:
4(n/4) = (-6)4
n = -24
7.) Multiply by 2 on both sides:
2(-7 + x/2) = (7)2
-7 + x = 14
Add 7 on both sides:
-7 + x = 14
+7 +7
x = 21
8.) Subtract 2 on both sides:
-4x + 2 = -22
-2 -2
-4x = -24
Divide by -4 on both sides:
-4x = -24
/-4 /-4
x = 12
9.) Add 9 on both sides:
7 = -8b - 9
+9 +9
16 = -8b
Divide by -8 on both sides:
16 = -8b
/-8 /-8
-2 = b
10.) Multiply by -3 on both sides:
-3(b - 14/-3) = (3)-3
b - 14 = -9
Add 14 on both sides:
b - 14 = -9
+14 +14
b = 5
Answer:
12x+28 I think
Step-by-step explanation:
4•3x+7
12x+(4•7)
12x+28
Volume of a sphere is V=(4/3)pi r^3
300(.1337)=(4/3)pi r^3
solve for r
r= 2.12 ft
