What happens to the area of a circle when the radius in doubled?

The office supplies store where you work has a 15 % off sale. If the customer purchases $250 in office supplies how much will th

Maksim231197 [3]

250 • .15 = 37.50
$37.50$

7 0

3 years ago

Could someone please help me with this? I would mark you as Brainliest:)

Hunter-Best [27]

Answer:

a) The table of values represents the ordered pairs formed by the elements of the sequence ( $a_{i}$ ) (range) and their respective indexes ( $i$ ) (domain):

$i$ $a_{i}$

1 6

2 11

3 16

4 21

5 26

b) The algebraic expression for the general term of the sequence is $a(i) = 6 + 5\cdot (i - 1)$ .

c) The 25th term in the sequence is 126.

Step-by-step explanation:

a) Make a table of values for the sequence 6, 11, 16, 21, 26, ...

The table of values represents the ordered pairs formed by the elements of the sequence ( $a_{i}$ ) (range) and their respective indexes ( $i$ ) (domain):

$i$ $a_{i}$

1 6

2 11

3 16

4 21

5 26

b) Based on the table of values, we notice a constant difference between two consecutive elements of the sequence, a characteristic of arithmetic series, whose form is:

$a(i) = a_{1} + r\cdot (i - 1)$ (1)

Where:

$a_{1}$ - First element of the sequence.

$r$ - Arithmetic difference.

$i$ - Index.

If we know that $a_{1} = 6$ and $r = 5$ , then the algebraic expression for the general term of the sequence is:

$a(i) = 6 + 5\cdot (i - 1)$

c) If we know that $a(i) = 6 + 5\cdot (i - 1)$ and $i = 25$ , then the 25th term in the sequence is:

$a(25) = 6 + 5\cdot (25 - 1)$

$a(25) = 126$

The 25th term in the sequence is 126.

7 0

3 years ago

Angle PQRPQR and angle TQVTQV are vertical angles. The measures of the two angles have a sum of 100^{\circ}100

Kitty [74]

10005ssduduc Vicdhdjdjd

7 0

3 years ago

Read 2 more answers

The perimeter of the square at the left is 48 inches

andrey2020 [161]

The perimeter of the square is 48

There are 4 equal-length sides to the square, making each side 12 in. in length

to find the area, multiply two sides of the perimeter

12 x 12 = 144

Perimeter: 48
Side: 12
Area: 144

hope this helps

8 0

3 years ago

A sample of 1000 college students at NC State University were randomly selected for a survey. Among the survey participants, 102

cupoosta [38]

Answer:

The upper endpoint of the 99% confidence interval for population proportion is 0.13.

Step-by-step explanation:

The confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

<u>Given:</u>

<em>n</em> = 1000

$\hat p$ = 0.102

$z_{\alpha /2}=z_{0.01/2}=z_{0.005}=2.58$

*Use the standard normal table for the critical value.

Compute the 99% confidence interval for population proportion as follows:

$CI=\hat p\pm z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.102\pm 2.58\times\sqrt{\frac{0.102(1-0.102)}{1000}}\\=0.102\pm0.0248\\=(0.0772, 0.1268)\\\approx (0.08, 0.13)$

Thus, the upper limit of the 99% confidence interval for population proportion is 0.13.

6 0

3 years ago