All categories

3 years ago

Evaluate each arithmetic series described.

1 answer:

7 0

$S_n=\frac{a_1+a_n}{2}\cdot n\\\\a_1=10, \ d=8, \ n=11\\\\a_{11}=a_1+10d=10+10\cdot8=10+80=90\\\\S_{11}=\frac{10+90}{2}\cdot11=\frac{100}{2}\cdot11=50\cdot11=\boxed{550}\\\\\text{Answer}:\text{C})$

You might be interested in

A convex hexagon has exterior angles that measure 80, 68, 84, 56, and 40. Which of the following the measure of the 6th exterior

Romashka [77]

Answer:

so add the ones that are given and then subtract from 360 because they must total to 360. so 360-80-68-84-56-40=32 so A

6 0

2 years ago

Simplify the following expression completely, where x is greater than or equal too 0.

Dennis_Churaev [7]

First you want the numbers under the radical to be the same so you can combine like terms.

$x \sqrt{5xy^4} =x \sqrt{5x*^4y} = xy^2 \sqrt{5x}$
$\sqrt{405x^3y^4} = \sqrt{5x*81x^2y^4} =9xy^2 \sqrt{5x}$
$\sqrt{80x^3y^4} = \sqrt{5x*16x^2y^4} = 4xy^2 \sqrt{5x}$

Now add together to get $14xy^2 \sqrt{5x}$

7 0

3 years ago

Read 2 more answers

F) 16 - p = 12 <br> g) 18 - 2p = 6<br> h)p2+ 4 = 9 <br> i)p4- 3 = 1<br> **MUST SHOW YOUR WORK**

mestny [16]

f) 16 - p = 12 minus 12
4 - p = 0 plus p
p = 4
g) 18 - 2p = 6 divide by -2
-9 + p = -3 plus 9
p = 6
h) p x 2 + 4 = 9 divided by 2
p + 2 = 4.5 minus 2
p = 2.5
i) p x 4 - 3 = 1 plus 3
p x 4 = 4 divided by 4
p = 1

3 0

3 years ago

Explain how James Fenimore Cooper’s works connected the fine arts with changes in the American way of life.

MrRissso [65]

James Fenimore Cooper used his words to connect Fine Arts and the Changes in American culture by writing about America's Westward expansion and the Indians in this first western novel.

<h3>What did James Fenimore Cooper write in his first novels?</h3>

James Fenimore Cooper based his first western novels on themes relating to:

the frontier
White/Indian Conflicts
America's Westward Expansion
Romantic Ideas about the American West.

Hence the correct answer is A.

Learn more about James Fenimore Cooper at:

brainly.com/question/3886133

3 0

3 years ago

What is the quadratic equation that has roots of ,-3 And 2/5

prohojiy [21]

Answer: 5x² + 13x - 6 = 0

Step-by-step explanation:

Represent the roots with X i.e.

X = -3 ; X = 2/5

Moving the values of X over the equator we have;

X + 3 = 0 ; 5X - 2 = 0

Equating both equations to zero we can obtain;

(X + 3)(5X - 2) = 0

Opening the brackets we get;

5x² - 2x + 15x - 6 = 0

The result of the above equation gives;

5x² + 13x - 6 = 0

6 0

3 years ago