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

opposite angles of an inscribed quadrilateral are supplementary?

Answers

Answer:

yes

Step-by-step explanation:

according to cyclic quadrilateral properties the oppoaite angles are supplementry

Answer:

An inscribed quadrilateral is any four sided figure whose vertices all lie on a circle. ... This conjecture give a relation between the opposite angles of such a quadrilateral. It says that these opposite angles are in fact supplements for each other. In other words, the sum of their measures is 180 degrees.

A 12-person team is running a 123-mile marathon. Each person will run the same distance in the race. How many miles will each team member run in the marathon? please help!

Answers

Answer:

I believe each person will run 10 and 1/4 miles

Evaluate lim
[tex] \frac{3 {x}^{2} + 5x - 1 }{4 {x}^{3} + 2x + 6 } [/tex]

Answers

Answer:

[tex]\lim_{x \to 0} =-\frac{1}{6}[/tex]

Step-by-step explanation:

The first step in evaluating a limit should be to plug in the number to see if you get a result

When you plug in 0 to all of the x's in the expression, you are left with the constants -1 on the top and 6 on the bottom of the fraction.

So there's no need to go any further, the limit as x approaches 0 is [tex]-\frac{1}{6}[/tex]

Answer:

-1/6

Step-by-step explanation:

To find the limit as x approaches 0 we can just plug in 0

for the numerator: 3*0+5*0-1 = -1

For the denominator: 4*0+2*0+6= 6

answer is just -1/6 or -.16666666666666666666667

I need help!! asap angles ​

Answers

Answer:

i do not know

Step-by-step explanation:

ummmmmmmmm x = well you see you have to solve for x mmmmmm hhhhhhmmmmm yup

I hope the answer is helpful

Please help me complete this. And please do not guess
Answer the following questions:
1. Find the scale factor of ABCDE to VWXYZ.
2. Find the scale factor of VWXYZ to ABCDE.
3. Find the value of r.
4. Find the value of s.
5. Find the value of t.
6. Find the value of u.
7. Find the perimeter of ABCDE.
8. Find the perimeter of VWXYZ.
9. Find the ratio of the perimeter ABCDE to the perimeter of VWXYZ.

Answers

Answer:

1. 1/3

2. 3

3. 9

4. 13.5

5. 7

6. 5

7. 23.5

8. 70.5

9. 1:3

What is the value of the expression below when w=3?
10w2 +9w-2

Answers

Answer:

85 if the "2" in 10w(2) is being multiplied.

But if not, then

115 if the "2" in 10w2 is an exponent.

Answer:

85

Step-by-step explanation:

10(3)2 + 9(3)-2

(30)2 + (27)-2

60+25=85

help me with this answer plzzz​

Answers

6:5= 1.2

25•1.2=30cm²

Answer 30cm²

ed made a large cube by gluing together a number of identical small cubes together

Answers

Answer:

thats cool not realy a question tho can I have brainlest

Step-by-step explanation:

Ed painted 95 faces of a large cube.

What is the Cubic equation?

Cubic equations are polynomials of degree 3. That means the maximum degree of the polynomial is three.

And the standard form of the cubic equation is;

f(x) = ax³ + bx² +cx +d, where a, b, c, and d are constant coefficients a ≠ 0.

Let's assume that the original cube that Ed made had n small cubes along each edge.

Then the total number of small cubes in the large cube is n³.

Let p be the number of faces that Ed painted.

Each small cube has 6 faces, and if a face is painted, it will not be visible after the large cube is assembled.

So the total number of unpainted faces is 6n³ - p.

When Nicole drops the cube, each small cube will be separated from the others, and all painted faces will become visible.  

So the total number of painted faces is equal to p minus the number of small cubes that don't have any painted faces, which is 45.

Therefore, we have a cubic equation:

p - 45 = 6n³ - p.

Simplifying this equation, we get:

2p =6n³ + 45

p = 3n³ + 22.5

We know that p is an integer, so 3n³ + 22.5 must be an integer.

This means that n³ must be a multiple of 2/3.

The smallest integer value of n that satisfies this condition is n = 3.

So Ed made a cube with 3 small cubes along each edge, and he painted:

the value of the cubic equation at 27,

p = 3n³ + 22.5 = 3(27) + 22.5 = 94.5 ≈ 95 faces of the large cube.

Therefore, 95 faces of the large cube.

To learn more about the cubic equation;

brainly.com/question/13730904

#SPJ7

The complete question:

Ed made a large cube by gluing together a number of small identical cubes and then he painted some of the faces of the large cube. His sister Nicole dropped the cube and it broke into the original small cubes. 45 of these small cubes didn't have any painted faces. How many faces of the large cube did Ed paint?

Please answer thank you so much

Answers

Answer:

2.85 and 3.45

Step-by-step explanation:

it gpea by 20s I think

What is the missing value in the proportion 5/8 = k/16?

Answers

5/8 = 10/16

The missing value is: 10

0.625 = k/16
K= 0.625 * 16
K=10

The cost of 6 CDs are $12, $13, $20, $20, $12.50 and $18.50. What is the median?

Answers

if we put the numbers in order, it would be 12, 12.50, 13, 18.50, 20, 20 we can see the middle numbers would be 13 and 18.50. if only one number is wanted as the median, then we can do (13+18.50) divided by 2 and get 15.75.

What is the sum of the two expressions? (2/7x + 5) + (4/7x - 3)

Answers

Answer:

= 6/7x+2

Step-by-step explanation:

just remove the parenthesis and combine like terms.

i hope this helps :)

Answer:

Step-by-step explanation:

Combine like terms.

2/7x and 4/7x are like terms  

5 and -3 are like terms

[tex](\frac{2}{7}x + 5) + (\frac{4}{7}x - 3) = \frac{2}{7}x+ \frac{4}{7}x + 5 - 3\\\\\\ = \frac{2+4}{7}x+ 2 \\\\= \frac{6}{7}x+2[/tex]

Kelly bought three watermelons for the class picnic. The watermelons weighed 124 pounds, 13 pounds, and 15 pounds.
What is the total weight of the watermelons?

Answers

Answer:

40/10

Step-by-step explanation:

first come first sevred brainiest

Answers

Answer:

A.

1.

125

2.

47.5

B.

30

Exp.:

A.

1. (60x100)/48

2. 57/ 120(fraction)  x 100% = 47.5%

B.  (24×100)÷80

ill mark brainliest, question is attached

Answers

Answer:

y = 10

Step-by-step explanation:

2 (4y - 7) = 66

8y - 14 = 66

8y = 80

y= 10

I need help please and thanks

Answers

Answer:

hi

Step-by-step explanation:

[tex] {12}^{2} + {x}^{2} = {14}^{2} \\ 144 + {x}^{2} = 196 \\ {x }^{2} = 196 - 144 \\ {x}^{2} = 52 \\ x = 2 \sqrt{13} [/tex]

i think so

hope it helps

have a nice day

please help out it for my math homework and I sure do have more questions

Answers

Answer:

30°

Step-by-step explanation:

Remember, all the interior angles of a triangle add up to 180 degrees. Therefore, we can find the value of x by subtracting the values of the other angles from 180:

[tex]x = 180-97-53[/tex]

[tex]x=30[/tex]

Answer:

Soln:

x+53+97=180(sum of interior angle of a triangle is 180)

or,x+150=180

or,x=180-150

or,x=30

Hence, the value of x is 30.

3/4x8/9 as simpiest form

Answers

Answer:

2/3

Step-by-step explanation:

3/4 x 8/9 = 24/36 or 2/3 simplified

WILL MARK BRAILIEST TO THE PERSON WHO GET IT RIGHT!
PLZZ HELP!

What is the volume of wax in the candle? Use 3.14 for π and round your answer to the nearest tenth?

Answers

Answer:

Hello! Your answer would be,  = 1020.5

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

6m - 8 = 1/2(-4m + 16)

Answers

Answer:

m=2

Step-by-step explanation:

6m - 8 = 1/2(-4m + 16)

Distribute

6m -8 = -2m +8

Add 2m to each side

6m-8+2m = -2m +8+2m

8m -8 = 8

Add 8 to each side

8m-8+8 = 8+8

8m = 16

Divide each side by 8

8m/8 = 16/8

m=2

find the missing side
please please i need help

Answers

Answer:

6.40312424

Step-by-step explanation:

5^2 + 4^2 = c^2

25 + 16 = c^2

41 = c^2

sqrt41 = c

c is equal to about 6.40312424 (round it if you need to)

Answer:

a^2+b^2=c^2

Step-by-step explanation:

5^2+4^2=6.403^2

c= 6.4

Solve the system of equations 3x+2y=223x+2y=22 and -4x+3y=16−4x+3y=16 by combining the equations.

Answers

Answer:

(2, 8)

Step-by-step explanation:

Given the system of equation

3x+2y=22  ... *4

-4x+3y=16 .... *3

Using the elimination method

12x + 8y = 88

-12x + 9y = 48

Add

8y + 9y = 88+48

17y = 136

y = 136/17

y = 8

Recall that

3x+2y=22

3x+2(8)=22

3x + 16 = 22

3x = 22-16

3x = 6

x = 6/3

x = 2

Hence the required solution (x, y) is (2, 8)

In a quiz contest, Mary answers 90% of the questions correctly without any additional clues from the quiz coordinator. The randomly generated numbers below simulate this situation.

The numbers 0 to 8 represent questions answered correctly without additional clues, and the number 9 represents questions that needed additional clues.

44 51 99 66 23
68 72 20 20 59
50 89 39 36 20
90 13 51 47 92
49 20 89 10 13
52 82 52 52 99
28 10 33 35 73
40 44 30 95 22
99 10 55 10 35
36 78 92 37 96
The estimated probability that it would take at least three questions for Mary to need additional clues is (_____)

The estimated probability that Mary needed additional clues to answer two consecutive questions is (_____)

Answers

To solve this problem, we should note that there are:

total questions = 100

questions answered correctly = 90

questions that needed additional clues = 10

1. The first question is to find the probability that in the third question, Mary would need additional clue. Therefore this implies that in the first and second questions, Mary would answer it correctly. Therefore:

Probability = (question 1 answered correctly) * (question 2 answered correctly) * (question 3 needed clue)

Probability = (90/100)*(89/99)*(10/98)

Probability = 0.08256 = 8.26%

2. The second question finds for the probability that two consecutive needs additional clue, therefore:

Probability = (question 1 needed clue) * (question 2 needed clue)

Probability = (10/100)*(9/99)

Probability = 9.1*10^-3 = 0.91%

Answer:

1. The estimated probability that it would take at least three questions for Mary to need additional clues is 0.24

2. The estimated probability that Mary needed additional clues to answer two consecutive questions is 0.06

Step-by-step explanation:

I just took the test! I hope this helps you! <3

In the triangle shown below TB, EC and are MEDIANS; TB = 6x - 15 and DB = 5 5. Solve for x

Answers

Answer:

I am not sure on this one, sorry :(

Step-by-step explanation:

Mathmerica Bank offers 2.1% interest compounded yearly
if you open a savings account with them and invest a
minimum of $2,500 dollars.

Answers

Answer:

Total = 2,500 (1.021)^t

Step-by-step explanation:

There is no question but the formula for compound interest is

Total = amount (1 + rate)^time

Total = 2,500 (1.021)^t

please help meeeeee! pleaseeeee

Answers

Answer:

905in²

Step-by-step explanation:

Fill in the missing numbers.
__+-3.5=7.25
-3/4-__=1/2
-2 3/8-(-4 2/3) = __

Answers

Answer:

10.75

-5/4

2 7/24

Step-by-step explanation:

1.)

__+-3.5=7.25

Let missing number = x

x - 3.5 = 7.25

x = 7.25 +3.5

x = 10.75

2.)

-3/4-__=1/2

Let missing number = x

-3/4 - x = 1/2

-3/4 - 1/2 = x

(-3 - 2) / 4 = x

-5/4 = x

3.)

-2 3/8-(-4 2/3) = x

-2 3/8 + 4 2/3 = x

-19/8 + 14/3 = x

(-57 + 112) / 24 = x

55 / 24 = x

2 7/24

You move left 1 unit. You end at (1, 4). Where did you start?

Answers

Answer:

(0,4)

Step-by-step explanation:

(0,2) (1,0) what is the equation of this line in slope intercept form

Answers

The slope intercept form is y= -2x+2

NO LINKS!! PLEASEE HELPP QUICK I POSTED THIS SO MANY TIMES AND NOBODY ANSWERS PLSSS HELP MEEE Write the slope-intercept inequality for the graph below. If necessary, use <=
fors or >= for >

Answers

Answer:

y ≤ -2x - 2

Step-by-step explanation:

Slope- intercept form is y = mx + b, m being the slope and b being the y-intercept.

The slope is the rise of the line over the run. We can choose two points that are exactly on the line. Let's try points (-1, 0) and (0, -2). The line slopes down, so we already know the slope is negative. From point (-1, 0), the line goes down 2 units and over 1 unit. So, the slope is -[tex]\frac{2}{1}[/tex]. We can also simply say that the slope is -2.

The line intersects with the y-axis at point (0, -2), so the y-intercept is -2.

Because the shading is on the left side of the line and the line is solid, we can tell that y is less than or equal to -2x - 2. So, the equation is-

y ≤ -2x - 2

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