ALGEBRA! NEED HELP! ~Write a formula for the total surface area of a cube in terms of its edge length x. Explain your reasoning.

Answers

Answer 1
Answer: Since each edge's length is x, each face's are would be { x }^( 2 )
And cubes have 6 faces. multiply 6 by { x }^( 2 ), the formula is :6{ x }^( 2 )
Answer 2
Answer: surface area of a cube
cube=6 squares
square=2 equal sides
area of square=side^2
surface area of cube=6(area of square)=6side^2
side=x
SA=6x^2

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What is the approximate volume of the cylinder? height = 52.2 cm; diameter = 20 cm

A.
1640 cm3

B.
3300 cm3

C.
16,400 cm3

D.
65,600 cm3

Answers

h = 52.2 diameter = 20 cm
radius = 10 cm
Cylinder volume = π • r² • height
Cylinder volume = PI * 100*52.2

Cylinder volume = 16,399
answer is C

The probability that a child will learn to swim before age 6 is 0.312. If you take a group of 12 children, what is the probability that 1 or fewer of the children will learn to swim before age 6? (Round your answer to 3 decimal places if necessary.)

Answers

Answer:

The probability of 1 or less children from that group to learn how to swim before 6 years of age is 0.072

Step-by-step explanation:

In this case we need to compute the probability of none of these 12 children learns to swim before 6 years of age. This is given by:

p(0) = (1 - 0.312)^(12) = 0.688^(12) = 0.01124

We now need to calculate the probability that one child learns to swim before 6 years of age.

p(1) = 12*0.312*(1 - 0.312)^(11) = 3.744*(0.688)^(11)

p(1) = 3.744*0.01634

p(1) = 0.0612

The probability of 1 or less children from that group to learn how to swim before 6 years of age is:

p = p(0) + p(1) = 0.01124 + 0.0612 = 0.07244

Raise aquarium is 20 inches long 20 inches wide and has a height of 15 inches Randles aquarium is 40 inches long 12 inches wide and has a height of 12 inches who's aquarium has a greater volume and by how much

Answers

Raise aquarium is 6000 inches
Randle aqarium is 5760 inches

Raise has the bigger aquarium by 240 inches

Teacher:Find the Slope and Y-interce
1)
x + 4y = 32
slope =
y-intercept =

Answers

Answer:

Slope = -1/4

y-intercept = 8

Step-by-step explanation:

Given a line equation, x + 4y = 32

To get the slope and y-intercept from this equation, we shall represent it in the slope form of a line equation

The slope form of a line equation is given as

y = mx + c

Where;

m = slope

c = y-intercept

Step 1

x + 4y = 32

Subtract x from both sides of the equation

x + 4y - x = -x + 32

4y = -x + 32

Step 2

Divide both sides by 4 to make y subject

4y/4 = -x/4 + 32/4

y = -x/4 + 8

y = (-1/4)x + 8

This equation corresponds to

y = mx + c

m = -1/4

c = 8

Therefore, the slope, m = -1/4

The y-intercept, c = 8

Slope m= -1/4
Intercept c=8

What is the average of 63, 84, and 102?

Answers

the answer to your question is 83

Find the interquartile range from 2, 5, 9, 1, 6, 9, 3 round to the nearest tenth

Answers

put the numbers in order
1,2,3,5,6,9,9

Q1 = 2
Q2 (median -- middle number) = 5
Q3 = 9

IQR = Q3 - Q1 = 9 - 2 = 7