Find S7of the sum of the geometric series.a1=−4374,a7=−6,r=1/3
Group of answer choices

A. −6568

B. −6583

C. −6563

D. −6534

Answers

Answer 1

Answer:

The sum of the first 7 terms in the geometric sequence is -6558

Step-by-step explanation:

s7 refers to the sum of the first 7 terms of the geometric sequence

To calculate the sum of terms, we use the sum of terms formula

We have this generally given as;

Sn = a(1-r^n)/(1-r)

a refers to the first term, given as a1 which is -4374

r is the common ratio which is 1/3

n is the number of terms, which is 7

substituting these values;

s7 = -4374(1-(1/3)^7)/(1-1/3)

s7 = -4374(1-(1/3)^7)/2/3

s7 = (3 * -4374)/2 * (1- (1/3)^7

s7 = -6561 * (1-1/2187)

s7 = -6561 * (2187-1)/2187

= -6561 * 2186/2187

= -6558


Related Questions

Select the correct answer.
Which equation correctly solves the Pythagorean theorem, a2 + b2 = , fc
O A. b = c -a
B. b = VC2 - 22
Ocb = V2 + a2
D.
b = c + a

Answers

Answer:

a² + b² = c²

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

In the parallelogram ABCD, M angle A =2x +50 and m angle C= 3x + 40. The measure of ZA is

Answers

Answer:

∠A = 70°

Step-by-step explanation:

I'm... guessing this is what you mean? It would've been helpful if you'd provided pictures.

Since all parallelograms consist of two pairs of vertically opposite angles, ∠A and ∠C are equivalent.

Which means that 2x + 50 = 3x + 40.

In which you solve the equation.

2x + 50 = 3x + 40

-2x           -2x

50 = x + 40

-40  -40

x = 10

Now, to find ∠A, substitute x into the equation:

∠A = 2x + 50

x = 10

∠A = 20 + 50

∠A = 70

Hence, ∠A = 70°

Sally's cell phone bill os expected to increase by 7.5% next year . If b represnts the current bill, which expression represent the expected cost of the cell phone bill next year?

Answers

Answer:

The expression represent the expected cost of the cell phone bill next year is: c=1.075b.

Step-by-step explanation:

With the information provided, you can say that the expected cost of the cellphone bill next year would be equal to the current bill multiplied for 1 plus the increase in decimal numbers, so the increased amount is added to the current cost. The equation would be:

c=b*(1+0.075)

c=b*1.075

c=1.075b

According to this, the answer is that the expression represent the expected cost of the cell phone bill next year is: c=1.075b.

Pls help pls really handy helper

Answers

Answer:

213

Step-by-step explanation:

35 1/2 times 6

What is the value of x?
sin 55
=
COS X
Enter your answer in the box.
X=

Answers

Answer:

x=arccos(sin(55))+2kπ kEZ

x=-arcos(sin(55))+2kπ ,,

Need help with 9th-grade math. Algebra 1

A ball is thrown in the air. The path of the ball is represented by the equation h=-t^2+8t, where t represents time in seconds and h represents the height of the ball in meters.

What is the maximum height of the ball?

How long is the ball in the air for before it hits the ground?

Answers

Answer:

a) 16 meters ; b) 8 seconds

Step-by-step explanation:

The function can be represent with a parabola whose vertex is its maximum point

for answer the first question we have to find the y of the vertex

first of all we have to find the x

Vertex (x) = -b/2a = -8/-2 = 4

if we substitute t with 4, we can find the y

Vertex (y) = -(4^2) + (8*4) =

= -16 + 32 = 16

so the answer is 16 meters

for answer the second question we have to find where the parabola intercepts the x axis, that means solve the associated equation:

-t^2 + 8t = 0

t^2-8t = 0

t(t-8) = 0

t = 0

t = 8

the parabola intercept the x axis in (0,0) and in (8,0)

if we find the distance between this two points we can answer to the question

8-0 = 8 seconds

Answer:

y are you ga

Step-by-step explanation:

Help please find the volume of the sphere

Answers

Answer: 44.6cm³

The formula is [tex]\frac{4}{3} \pi r^3[/tex].

Since the formula had π (pi) pi is 3.14.

The radius is the line inside the sphere.

That being said, the radius is 2.2, so the line is 2.2 long.

Now, let's solve.

4/3 × 3.14 = 4.186 → 4.19

4.19 × 2.2³ = 44.6

Hence, 44.6 is the answer.

What is 5637 time 7829

Answers

5637x7829= 44,132,073
Hope this helped!

Write an expression for the perimeter of the square. SIMPLIFY your answer​

Answers

Answer:

P=16x-20

Step-by-step explanation:

The perimeter of a square can be found by adding up all the sides, and since it is a square we know that all the sides are the same. So we get P=4(4x-5), then we distribute the 4, and are left with the equation P=16x-20.

hii please help i’ll give brainliest

Answers

Answer:

A. (-5, -3)

Explanation:

In quadrant III, both x and y are negative.

Write an equation of the line with a slope of 23and y-intercept of −8.

Answers

If we have a y intercept of -8, that means that the point falls on the y-axis, therefore x = 0. So, we have a point (0, -8) and we have a slope m = 23.

y = mx + b

y = 23x + b

Now, we can plug in the point values x = 0, y = -8

-8 = 0 + b

b = -8

If we plug b back into our original formula, we get:

y = 23x - 8

a man bought a phone for ghc2500 after a discount of 25%. find the marked price of the phone

Answers

Answer:

........................

LLEASE PLEASE I NEED HELP!!! I’ll mark brainliest

Answers

Answer:

It would be the first answer

Step-by-step explanation:

At the bottom of each graph is the starting point and you can see the red graph starts at 0 where the other does not

Answer:

The graphs make it appear that Cool Cars' prices are much greater, but they are only a little bit greater.

Step-by-step explanation:

hope this helps and is right. p.s. i really need brainliest :)

if this is wrong, then i am incredibly sorry!

Complete the statement with <, >, or =.


___ 1

Answers

Answer:

>

Step-by-step explanation:

1.) Phoebe has a hunch that older students at her high school are more likely to bring
a bag lunch than younger students, because they have grown tired of cafeteria
food. she takes a simple random sample of 80 sophomores and finds that 52 of
them bring a bag lunch. a simple random sample of 104 seniors reveals that 78 of
them bring a bag lunch. Does this data provide convincing evidence to support
Pheobe's hunch at the 5% significant level?

2.)Interpret the P-value in context

Answers

Answer:

here use this https:// www.olma.org/ourpages/auto/2017/3/22/51438803/ch%2013%20rev%20answers%20.pd make sure to remove the space pls give me brainly

Step-by-step explanation:

Problem #
answeri:
20 m
16 m
16 m
16 m
Work:

Answers

I think it is 20 m
Hope this help you

​The length of the hypotenuse of a right triangle is 10m and the length of one of the legs is 8m .

​Find the length of the other leg of the triangle

Answers

Hello!
I will be helping u find the length
It’s 80
Hope this help sm

A state university has an annual tuition of $12,000. Bradley would like to attend this university and will save money each month for the next 4 years. His grandparents will give him $2,800 for his first year of tuition. Which plan shows the minimum amount of money Bradley must save to have enough money to pay for his first year of tuition?

Answers

Answer:

$767 per month for the next 4 years

Step-by-step explanation

first it’s minus the 2800 they gave him and that’s 9,200 then divided by the amount of months in a year which is 12 you end up with 766.6 but rounded that would be the closest answer and then when you multiply 767x12 it’s 9200 plus the 2800 it’s 12,000 which means it checks out.

Find the volume of this cone.
Round to the nearest tenth.
15m
5m

Answers

Answer:

392.7

Step-by-step explanation:

Answer:

392.7cm³

Step-by-step explanation:

πr²[tex]\frac{h}{3}[/tex]

3.14x5^2x[tex]\frac{15}{3}[/tex]= 392.7cm³

392.7 to nearest tenth= 392.7cm³

Which number-line model represents the sum of 3/4 + ( - 1.75) ?​

Answers

Answer:

A

Step-by-step explanation:

Reasonsssssssss.....

Answers

Answer:

In a triangle, sides opposite of congruent angles are congruent

What is the slope of the line?

Answers

Answer: -5/2

Explanation: Rise over Run. Since the line is going downwards, the slope is negative

The prices of different brands of eggs are given below.

Brand Price
A $1.99
B $1.79
C $1.89
D $3.59
E $1.89
F $1.89

Mrs. Silvio decided that she is most likely to spend $2.17 on eggs because this is the mean. Is Mrs. Silvio's reasoning correct?
A. No, Mrs. Silvio should have used $3.59 because it is the highest value given.
B. No, Mrs. Silvio should have used $1.80 because it is the range of the prices and is not affect by Brand D.
C. No, Mrs. Silvio should have used $1.89 because it is the mode and is not affected
by Brand D.
D. Yes, Mrs. Silvio is correct.

Answers

Answer:

C. No, Mrs. Silvio should have used $1.89 because it is the mode and is not affected by Brand D.

Step-by-step explanation:

The mode in a set of numbers is the most common, so If you bought eggs, the most common would be $1.89

Is this adjacent vertical or linear can someone plz tell me the answer

Answers

Answer:

vertical

Step-by-step explanation:

its going straight up

The scatter plot shows the relationship between summer and winter temperatures. What is the range of the cluster shown in the
scatter plot?
A)
51°F to 71°F average January high temperature
B)
58°F to 61°F average January high temperature
C)
91°F to 98°F average July high temperature
D)
94°F to 95°F average July high temperature

Answers

Answer:

D

Step-by-step explanation:

Since it's talking abtou clusters, the only "cluster" like part there is there is where 94 and 95 are, so it has to be D.

Using the scatter plot and the range concept, it is found that the correct option is:

C)  91°F to 98°F average July high temperature

The range of a data-set is the set that contains all possible output values.

In this problem, the average July temperature is the output, plotted as function of the average January temperature, which is the input.

It varies from 91ºF to 98ºF, hence, the correct option is:

C)  91°F to 98°F average July high temperature

A similar problem is given at https://brainly.com/question/14573464

Why is a parallelogram a type of trapezoid?

Answers

Answer:

A trapezoid has only one pair of parallel sides, and a parallelogram has two pairs of parallel sides. So a parallelogram is also considered a trapezoid.

(Brainliest please! Btw, I answered first.)

Question 9:
Find the sine of angle I
796
195

Answers

Answer:

sin I = 0.244

Step-by-step explanation:

Given that,

Perpendicular, P = 195

Hypotenuse, H = 796

We need to find the value of [tex]\sin(I)[/tex]. We know that,

[tex]\sin\theta=\dfrac{P}{H}[/tex]

Substitute all the values,

[tex]\sin I=\dfrac{195}{796}\\\\\sin(I)=0.244[/tex]

So, the value of sin(I) is equal to 0.244.

HELP ME ASAPPPPPPPPPPPPPPP

Answers

Answer:

a because i said so trust me

Step-by-step explanation:

Answer:

The number of students that the club needs is at least 8

Step-by-step explanation:

The club would at least need 8 people.Add 15 and 8 together and you get 23.More people would be better but all the club really needs is 8.

LMNP is a rectangle. Find the value of x and the length of each diagonal LN= 4x + 13 and MP=9x - 7​

Answers

Answer:

5/3

Step-by-step explanation:

Since the given figure is a rectangle with congruent diagonals and thus equal lengths, you can use the expressions for the diagonal lengths, set them equal, and solve the equation for x.

Each of the options below describes a relationship that you need to graph on a coordinate plane. Which of the options will have a slope of 8? Select all that apply. A) Doing 4 pages of homework in 20 minutes B) Cycling 32 miles in 4 hours C) Buying 10 shirts for $80 D) Reading 72 pages in 9 hours

Answers

Answer:

B ; C; D

Step-by-step explanation:

The slope measures the rate of change in the dependent variable per unit change in the independent variable :

From the options :

Doing 4 pages of homework in 20 minutes :

The number of pages done per minute = slope

Slope = 20 / 4 = 5

To cycle 32 miles in 4 hours:.

Number of miles to cycle per hour to achieve the feat :

Slope = 32 /4 = 8

Buying 10 shirts for $80:

Cost per shirt = slope

Slope = $80 / 10

Slope = 8

Reading 72 pages in 9 hours

Number of pages read per hour :

72 / 9 = 8 pages

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