Answer:
<h3>The radius is 7 cm</h3>
Step-by-step explanation:
Volume of a sphere is given by
where r is the radius
From the question V = 1436 cm³
Multiply through by 3
We have
Divide both sides by 4π
Find the cube root of both sides
r = 6.99
We have the final answer as
<h3>r = 7cm</h3>
Hope this helps
8y^2 + 6y + 1
List the factors of a and c.
a: 1 x 8, 2 x 4
c: 1 x 1
Since c is positive find factors from the list that will add up to the absolute value of b.
1, 1, 2, and 4 -----> (1 x 2) + (1 x 4) = 6
Arrange these four factors accordingly. Because both b and c are positive, both parentheses will have a plus sign.
( + )( + )
Ask yourself, "Which two factors with y as a variable will multiply to give me 8y^2?" Fill in the parentheses.
(4y + )(2y + )
Use trial and error(by FOILing).
(4y + 1)(2y + 1)
Check answer.
(4y)(2y) = 8y^2
(4y)(1) = 4y
(2y)(1) = 2y
(1)(1) = 1
Set up as a polynomial.
8y^2 + 4y + 2y + 1
Combine like-terms.
8y^2 + 6y + 1
So 8y^2 + 6y + 1 is equal to (4y + 1)(2y + 1).
<h3>
Answer: 5(x+7)</h3>
Explanation:
We'll use the distributive rule in reverse
5x+35 = 5*x + 5*7 = 5(x+7)
In general, the distributive rule is a*(b+c) = a*b+a*c. We multiply the outer term 'a' by each term inside the parenthesis.
When going from 5(x+7) to 5x+35, we multiply the outer 5 by each of the terms inside.
Answer:
33.75
Step-by-step explanation:
Given that the manufacturer produces an average of 450 televisions each day and 0.25% of the numbers produced each day are defective.
Therefore
0.25% of 450 will give the number of defective televisions produced per day
So
0.25% /100 x 450
0.0025 x 450
1.125
This means that 1.125 of televisions produced each day are defective.
Now to get the estimate of defective televisions in 30 days , multiply the number of defective televisions per day by 30 days seeing that the producer produces an average of 450 each day
So
1.125 x 30
33.75
33.75 televisions are defective in 30 days
Answer:
7
Step-by-step explanation:
It is a pattern where you add 3 each time