Given:
The equation is

To find:
The value of b.
Solution:
We have,

Subtracting both sides by
, we get




Therefore, the value of b is
.
B is your answer bc 2 times 4 is 8 plus 2 minus 6 is
9514 1404 393
Answer:
k = 15
Step-by-step explanation:
Look for the missing factors that make all of the factors of 60k be squares.
60 = 2² × 3 × 5
The factors 3 and 5 each have an odd exponent (1), so those two factors must be part of k.
60k = 2² × 3 × 5 × k
is a perfect square when ...
3 × 5 = k = 15
For k = 15, 60k = 900 = 30²
The question is incomplete.Here is the complete question.
The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its length, and inversely as the length of the beam. A beam 13 feet long, with a width of 6 inches and a height of 4 inches can support a maximum load of 800 pounds. If a similar board has a width of 8 inches and a height of 7 inches, how long must it be to support 1300 pounds?
Answer: It must be 392 inches or approximately 33 feet.
Step-by-step explanation: According to the question, the measures (width, length and height) of a beam and the weight it supports are in a relation of <u>proportionality</u>, i.e., if divided, the result is a constant.
For the first load:
width = 6in
height = 4in
length = 13ft or 156in
weight = 800lbs
Then, constant will be:


k = 1300
For the similar beam:

L = 49.8
L = 392in or 32.8ft
A similar board will support 1300lbs if it has 392 inches or 32.8 feet long.
Answer:
12.5%
Step-by-step explanation:
Given that,
Initial temperature of a piece of metal = 32°C
Final temperature of the piece of metal = 36°С
We need to find the percentage increase in the temperature of the piece of metal. The percentage increase in any value is given by the relation as follows :

So, the required percentage increase in the temperature of the piece of metal is equal to 12.5%.