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3 years ago

Prove: The square of the sum of

Mathematics

1 answer:

jenyasd209 [6]3 years ago

7 0

Answer:

(n + (n + 1))²

= (2n + 1)²

= 4n² + 4n + 1

= 2(2n² + 2n) + 1

= odd

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Jack and Sue have summer jobs selling newspaper subscriptions door-to-door, but their compensation plans are different. Jack ear

MAVERICK [17]

If jack sells 3 subscriptions in an hour and sue sells 5 subscriptions in an hour they will both earn $18 per hour

7 0

3 years ago

For f(x) = -4x + 1, what is the output for an input of -2?

Lisa [10]

$\huge\boxed{\boxed{9}}$

Start with the original function:

$f(x)=-4x+1$

Substitute in the known value:

$f(-2)=-4(-2)+1$

Multiply:

$f(-2)=8+1$

Add:

$f(-2)=\large\boxed{9}$

6 0

3 years ago

Read 2 more answers

Solve for the mean and median of the following data: 20, 10, 15, 18, 12, 17

loris [4]

<h2><u>Mean and Median</u></h2>

<h3>solve for the mean and median of the following data: 20, 10, 15, 18, 12, 17</h3>

To find the mean of a data set, use the formula:

<u>mean</u> = <u>sum of the data points</u>/<u>number of the data points</u>

We will determine the sum of the data points.

20 + 10 + 15 + 18 + 12 + 17 = 92

Since the number of data points is 6, we will divide the sum and the number of data points as shown in the formula above.

92/6
15.3

<u>Answer:</u>

The mean of the data set is <u>15.3</u>.

<h3><u>Median</u></h3>

To find the median of the data set, arrange the data set into ascending order and the value in the middle is the median. The median should be an even number.

20, 10, 15, 18, 12, 17
10, 12, 15, 17, 18, 20

The middle value is 15 and 17. Find out their sum and divide it into 2.

15 + 17/2
32/2
16

<u>Answer:</u>

The median of the data set is <u>16</u>.

Wxndy~~

3 0

2 years ago

The major and minor axes of an ellipse are 25 inches and 4 inches in length. What is the area of the ellipse?

Nostrana [21]

Answer:

Therefore, the area of the ellipse is:

Area = 78.5 inches

Step-by-step explanation:

The formula to find the area of the ellipse is

$\:a\:\times \:b\:\times \:\pi$

The major axis of an ellipse = 25 inches

The minor axis of an ellipse = 4 inches

The value of a = major axis/2 = 25/2 = 12.5 inches

The value of b = minor axis/2 = 4/2 = 2 inches

Thus

The area of the ellipse:

Area = $\:a\:\times \:b\:\times \:\pi$

$=\:12.5\:\times\:2\:\times\:\pi$

$=25\pi$

$=78.5$ inches ∵ $\pi =3.14$

Therefore, the area of the ellipse is:

Area = 78.5 inches

5 0

3 years ago

1161.90 to the nearest 100

chubhunter [2.5K]

You would round up to 1,200
Hope this Helps =)

7 0

4 years ago