What is the volume of this rectangular prism if the side of each square is 1 cm?

Using suitable identity find 231^222-131^2

Sliva [168]

Given:

Consider the expression is

$231^2-131^2$

To find:

The value of given expression using a suitable identity.

Solution:

We have,

$231^2-131^2$

Using the identity $a^2-b^2=(a-b)(a+b)$ , we get

$231^2-131^2=(231-131)(231+131)$

$231^2-131^2=(100)(362)$

$231^2-131^2=36200$

Therefore, the value of the given expression is $231^2-131^2=36200$ .

7 0

3 years ago

A professional bowler wanted to gather data about the cost of local bowling leagues in the area. After collecting and plotting t

Yuliya22 [10]

The slope in this scenario is 12 and , starting at $30 the cost will increase by $12 per month .

In the question ,

it is given that

the average bowling league has one time registration fees

and

a monthly fees .

let the number of months the training continues be "x" .

the equation is given as y = 12x + 30

since the one time registration fees is fixed so , it will be 30 .

and the monthly fees varies with the number of months of training , so monthly fees will be 12x .

On comparing the given equation y = 12x + 30 with slope intercept form of the line y = mx + c ,
we get ,

slope (m) = 12 .

and starting cost = $30 and the increase in cost by $12 per month .

Therefore , The slope in this scenario is 12 and , starting at $30 the cost will increase by $12 per month , the correct option is (c) .

The given question is incomplete , the complete question is

A professional bowler wanted to gather data about the cost of local bowling leagues in the area. After collecting and plotting the data, it was determined that the average bowling league consists of a one-time registration fee and a monthly fee modeled by the equation y = 12x + 30.

Identify and interpret the slope in this scenario.

(a) The slope is 30. Starting at $12, the cost will increase by $30 per month.

(b) The slope is 30. Starting at $12, the cost will decrease by $30 per month.

(c) The slope is 12. Starting at $30, the cost will increase by $12 per month.

(d) The slope is 12. Starting at $30, the cost will decrease by $12 per month.

Learn more about Slope here

brainly.com/question/24436844

#SPJ1

4 0

1 year ago

Tell whether each graph is a function and justify your answer. Which graph is not a good representation of a real-world situati

mina [271]

Using the function concept, it is found that:

Graph B is a function because each value of x corresponds to exactly one y-value.

In a function, <u>one value of the input can be related to only one value of the output</u>.

In a graph, it means that for each value of x(horizontal axis), there can be only one respective value of y(vertical axis).

In this problem, at Graph A, when x = 5, for example a vertical line crosses the function 3 times, hence there are 3 respective values of y for x = 5, and the same is valid for other values of x, hence it is not a function.

At Graph B, <u>for each value of x, there is only one value of y</u>, hence it is a function.

Hence:

Graph B is a function because each value of x corresponds to exactly one y-value.

To learn more about the function concept, you can take a look at brainly.com/question/12463448

5 0

2 years ago

What is the remainder when 5,921 is divided by 15

viktelen [127]

The remainder is going to be 11

6 0

4 years ago

Read 2 more answers

X=v-w+u solve for u

katovenus [111]

Answer:

u = -v + w + x

Step-by-step explanation:

Solve for u:

x = u + v - w

x = u + v - w is equivalent to u + v - w = x:

u + v - w = x

Subtract v - w from both sides:

Answer: u = -v + w + x

4 0

3 years ago