Find the sum of the arithmetic series given a1=8,a14=99,n=14.

Answers

Answer 1

Answer:

The sum of the series is 749

Step-by-step explanation:

Given

[tex]a_1 = 8[/tex]

[tex]a_{14} = 99[/tex]

[tex]n = 14[/tex]

Required

The sum of the series

This is calculated using:

[tex]S_n = \frac{n}{2}[a_1 + a_n][/tex]

Substitute 14 for n

[tex]S_{14} = \frac{14}{2}[a_1 + a_{14}][/tex]

[tex]S_{14} = 7[a_1 + a_{14}][/tex]

Substitute values for a1 and a14

[tex]S_{14} = 7[8 + 99][/tex]

[tex]S_{14} = 7*107[/tex]

[tex]S_{14} = 749[/tex]


Related Questions

Hhhhhhhhhhhhhhhhfehhdgdhdhdu

Answers

Answer:

it should be 450 yards

Step-by-step explanation:

A= a+b/ 2

h=27+18/ 2·20= 450

Which value (s) of x are solution(s) of the equation below?
A. x = 2, 4
B. x = -1, 4
C. x = 2
D. x = -1

Answers

Answer:g

Step-by-step explanation:

a)Solve for x:
y = 130 − 4x

b) What is the value of x when y = 120

Answers

Answer:

[tex]x = \frac{5}{2}[/tex]

Step-by-step explanation:

y = 130 - 4x

======================

120 = 130 - 4x

-10 = -4x

x = [tex]\frac{-10}{-4} =\frac{5}{2}[/tex]

I need answers ASAP please

Answers

Answer:

22

Step-by-step explanation:

Just count the units around it,

it's kind of blurry so you should just double check in case.

Please help me (NO LINKS)

Answers

Answer:

[tex]0.25( \frac{1}{4} ) \\ 0.50( \frac{2}{4}) \\ 1.25(1 \frac{1}{4} )[/tex]

hope it's what u want

8,546.54 to nearest 1,000.00​

Answers

9,000

Step by step: remember 5 or higher raise the score 4 or less let it rest. You underline the thousands place in this situation then look back to the number right to it. Since that number is 5 you must change the 8 to a 9. All the other numbers to the right if 8 is now 0.

x > -3 For each statement list three numbers that would make a solution to the inequality true.

Answers

Answer:

x = -2

x = -1

x = 0

Step-by-step explanation:

Find three numbers to the left of -3 on the number line

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Which of the functions below could have created this graph?​

Answers

i think the answer is a

Which pair of expressions are equivalent?
O 4(x + 5) + 4x and 12x + 14
5a +3 (a + 4) and 6a +7
5 + 6 (a + 3) and 6a + 23
O 5 (a + 3) + 2a and 8a +3

Answers

Answer:

The third one is the answer

pls help me i am very behind and confused

Answers

i thinks it’s a sorry if i am wrong

Find an
equation for the line through (-6, 3) and
parallel to y = 3x + 1.

Answers

Since this line is parallel to y = 3x + 1 their slopes are equal. The slope is equal to 3. The line is also passing the point (-3,4).

This is the format of the line parallel to y = 3x + 1

y = 3x+ b

This line passes through point (-3, 4)

Replacing the values of y and x coming from the coordinates of (-3, 4)

4 = 3 * (-3) + b

Solving for the y-intercept b

4 = -9 + b

b = 4 + 9

b = 13

Knowing the slope as equal to 3 and the y-intercept as 13 the equation of the line is

y = 3x+13


Your answer should be a polynomial in standard form.
(x + 4)(x + 6)

Answers

Step-by-step explanation:

x^2 +10x + 24

use FOIL

have a great day

Identify the distance between the points (9,7,3) and (5,3,2), and identify the midpoint of the segment for which these are the endpoints. Round to the nearest tenth, if necessary.

Answers

Using it's formula, it is found that the distance between the two points is of 5.7 units. Additionally, the midpoint is (7, 5, 2.5).

What is the distance between two points?

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, the points are (9,7,3) and (5,3,2), hence:

[tex]D = \sqrt{(9 - 5)^2 + (7 - 3)^2 + (3 - 2)^2} = 5.7[/tex]

The distance between the two points is of 5.7 units.

What is the midpoint?

The midpoint is the mean of the coordinates, hence:

xM = (9 + 5)/2 = 7.yM = (7 + 3)/2 = 5.zM = (3 + 2)/2 = 2.5.

The midpoint is (7, 5, 2.5).

More can be learned about the distance between two points at https://brainly.com/question/18345417

Would someone help me pls ?

Answers

the first option is the right one

Find value of x for both

Answers

Answer:

19??????????????????

If you do this for me you’ll get brain list

Answers

Answer:

A. full line across label 6 inches

B. Full line across label 10 inches

C. Full line across label 12 inches

Part B:

A. 18.84 inches

B. 31.4 inches

C. 37.68 inches

Step-by-step explanation:

Hope this helps

1/6

write the fraction as a decimal (round to the nearest hundredth, if necessary)

write as a percent

Answers

0.16 that is the answer!!!!

In a statistics class, students were asked how many siblings they have. The mean number of siblings for the class is 3.08 with a standard deviation of 1.61 siblings. The z-score for a student with four siblings is 0.57. Which of the following statements is the best interpretation of the z-score?

Answers

Answer:

The number of siblings for this student is 0.57 standard deviations above the mean number of siblings.

Step-by-step explanation:

yes

For what values of x is the expression below defined?

Answers

Answer:

x > 0

Step-by-step explanation:

Given :-

√[3x²] ÷ √[4x ]

And we need to find the value of x for which the expression is defined . The expression is ,

[tex]:\implies[/tex] [3x²] ÷ [4x]

As we can see that x is inside the squareroot. So for defining the expression the value of x should be Greater than 0 . As negative inside the squareroot will give rise to imaginary numbers.

Solution :-

[tex]:\implies[/tex] x > 0

In interval notation :-

[tex]:\implies\bf x \in ( 0 , \infty) [/tex]

Therefore x should be Greater than 0 .

please help. Will mark brainliest if correct. ( links will be banned)

Answers

Answer:

how many tries do you have?

I think its d because the proportion 6/4 and LM/6 cuz the smaller number is on the bottom? I dont know try it. how many tried do you have?

Its either d or b

What is the missing length?
6 mi
t
area =
60 mi2

Answers

Answer:

10 mi

Step-by-step explanation:

6mi x t = 60mi^2

this is basically

6 x t = 60

divide 6 to both sides

t = 10

What’s the answer (no link I give brainly)

Answers

Y intercept has to be 15 because when x is zero y is 15, so either G or J, when we go ten miles, the gallons reduce by .4 so the slope is -.4/10 which is the same as -1/25 so the answer is G.

find m 135°
125°
55°
100°

Answers

Answer:

answer: m = 125

Step-by-step explanation:

parellograms add up to a total of 360 so m = 125 because 125 + 125 + 55 + 55 = 360 Hope this helps!

Step-by-step explanation:

here's your solution

==> sum of corresponding angles of parallelogram = 180°

==> angle J + angle k = 180°

==> 55° + k = 180°

==> k = 180° - 55°

==> k = 125°

[tex]hope \: it \: helps[/tex]

if f(x) = 5 + 4( x - 4)^2

then what is f(7)

Answers

Answer:

41

Step-by-step explanation:

f(7) = 5 + 4(7-4)²

= 5 + 4(3²)

= 5 + 4(9)

= 5 + 36

Answer:

f(7)=39

Step-by-step explanation:

f(7)=5+4((7)-4)^2

=5+4(3)^2

=5+4(9)

=5+36

=39

Question and Answers below in photo!! Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇

Please answer ALL questions in order for BRAINLIEST! NO links or else you will be reported and maybe even get banned.

-----------------------------------------------------------------------------------------------------------

Find the volume of the triangular prism:

-27yd^3

-72yd^3

-240yd^3

-360yd^3

Answers

Answer: 72

Step-by-step explanation:

[tex]V=\frac{1}{2}(3)(8)(6)=\boxed{72}[/tex]

6) WILL MAKE BRAINLIEST

write the slope-interception form of the equation of each line.

Answers

the answer would be C, y=2x-1

In an isosceles triangle, the base angles measure 65°. Which of the following expressions is a way to calculate the measure of the third angle?​

Answers

Answer:

its A

Step-by-step explanation:

its A ️ ‍♀️ ️ ‍♂️ ️

180-2(65). The base are both 65 and a triangle adds up to 180.

Guys help me with this quick pls​

Answers

Answer:

[tex]117 = 66 + \beta \\ \beta = 51[/tex]

If you use the amount of flour that was used on Day 4, how many
cups of flour will you use?

Answers

I need a photo to help you can you send me one?

14. A cone has twice the base diameter and
three-fourths the height of a cylinder. Can
you tell what the relationship between the
volume of the cone and the volume of the
cylinder is? Explain your reasoning.

Answers

Answer:

1+1 is cannot be

Step-by-step explanation:

jajauajhwhahwwhhahwhauwu

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