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Ira Lisetskai [31]

3 years ago

10

A. 18 B. 8 C. 8.5 D. 9

1 answer:

Karolina [17]3 years ago

8 0

A = l x t

153 = 17x

x = 9

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Need help with math problem if do get 5 star

Advocard [28]

Answer:

It is a reflection over the x-axis. Because it goes down, passing the x-axis.

8 0

3 years ago

Read 2 more answers

Find the indicated nth partial sum of the arithmetic sequence.<br> −7, −3, 1, 5, . . ., n = 30

TiliK225 [7]

Step-by-step explanation:

Given the Arithmetic sequence

$-7, -3, 1, 5, . . .$

An arithmetic sequence has a constant difference d and is defined by

$a_n=a_1+\left(n-1\right)d$

$\mathrm{Compute\:the\:differences\:of\:all\:the\:adjacent\:terms}:\quad \:d=a_{n+1}-a_n$

$-3-\left(-7\right)=4,\:\quad \:1-\left(-3\right)=4$

$\mathrm{The\:difference\:between\:all\:of\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$d=4$

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$a_1=-7$

as

$a_n=a_1+\left(n-1\right)d$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$a_n=4\left(n-1\right)-7$ ∵ $d=4$

$\mathrm{Arithmetic\:sequence\:sum\:formula:}$

$n\left(a_1+\frac{d\left(n-1\right)}{2}\right)$

$\mathrm{Plug\:in\:the\:values:}$

$n=30,\:\space a_1=-7,\:\spaced=4$

$=30\left(-7+\frac{4\left(30-1\right)}{2}\right)$

$=30\left(58-7\right)$ ∵ $\frac{4\left(30-1\right)}{2}=58$

$=30\cdot \:51$

$=1530$ ∵ $\mathrm{Multiply\:the\:numbers:}\:30\cdot \:51=1530$

Therefore, the indicated nth partial sum of the arithmetic sequence is 1530.

ANOTHER METHOD

as

$a_n=4\left(n-1\right)-7$

n = 30

$\sum _{n=1}^{30}\:4\left(n-1\right)-7$

$=\sum _{n=1}^{30}4n-11$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \sum a_n+b_n=\sum a_n+\sum b_n$

$=\sum _{n=1}^{30}4n-\sum _{n=1}^{30}11$

as

$\sum _{n=1}^{30}4n=1860$

and

$\sum _{n=1}^{30}11=330$

so

$=1860-330$

$=1530$

7 0

4 years ago

-19 and 19 are called

Marina CMI [18]

Answer:

Hey Friend.....

Step-by-step explanation:

This is your answer....

<h2>Additive inverse</h2>

Hope it helps!

Brainliest pls!

Follow me! :)

5 0

2 years ago

Solve for x & explain work?<br> 3/4 (2x+5)=5(x+12)

koban [17]

3/4(2x + 5) = 5(x + 12)

First get rid of any fractions by multiplying my the denominator

4 x 3/4(2x + 5) = 4 x 5(x + 12)

3(2x + 5) = 20(x + 12)

Then get rid of the parentheses

6x + 15 = 20x +240

Then simplify

6x + 15 - 15 = 20x + 240 - 15

6x = 20x + 225

6x - 20x = 20x - 20x + 225

-14x = 225

Now divide on both sides

-14x/-14 = 225/-14

x = -16

5 0

3 years ago

365 is what percent of 55?

Makovka662 [10]

Answer:

636.6%

Step-by-step explanation:

To find the percent, divide 365 by 55:

365/55

= 6.636

This is equivalent to 636.6%

So, 365 is 636.6% of 55

5 0

3 years ago

Read 2 more answers