What is the sum of the infinite geometric series?

120+40+40/3+40/9+...

a. 136
b.156
c.180
d.184

Answers

Answer 1

Answer:

C that is the answer

Step-by-step explanation:

The formula for the sum of an infinite geometric series is S∞ = a1 / (1-r ).


Related Questions

8) Which equation represents the relationship between b and c?
A) C = 70b
B) C = b + 70
C) c = 140b
D) C = b + 140

Answers

Answer:

C=70b

Step-by-step explanation:

multiply each number in b by 70  to get the correct answer of c

reply asap!! will give brainliest if i can

Answers

Answer:

-1/2d + f

Step-by-step explanation:

cmon fam I know you know how to do this just find the least common denominator and subtract like terms (numbers with the same variable) and then simplify the fractions

can you help me pls? ​

Answers

Answer:

true? i think

A car travels 10 km southeast and
then 15 km in a direction 60° north of
east. Find the magnitude of the car's
resultant vector.
[?] km
Round to the nearest tenth.

Answers

[tex]\bold{\huge{\green{\underline{Solution}}}}[/tex]

A car travels 10 km southeast and then 15 km in a direction 60° north of east

[tex]\bold{\underline{ To\: Find }}[/tex]

We have to find the magnitude of the car of resultant vector

[tex]\bold{\underline{ Let's \: Begin }}[/tex]

Here,

In South east, car travels = 10km

In North of east, it travels = 15km

Angle between south east and north east is 60°

Therefore,

According to parallelogram law of resultant vector

If two vectors are represented by two adjacent sides of a parallelogram drawn from a point , the their resultant is equal to the diagonal of the parallelogram.

That is,

[tex]\sf{ R = AC^{2}= A^{2}+ B^{2}}[/tex]

But, we have to calculate the magnitude of the resultant vector

[tex]\sf{ | R |= √A^{2}+ B^{2}+ 2ABCos{\theta} }[/tex]

Subsitute the required values,

[tex]\sf{ | R |=\sqrt{ (10)^{2} + (15)^{2} + 2× 10 × 15 × cos 60{\degree}}}[/tex]

[tex]\sf{ | R | =\sqrt{ 100 + 225 + 20 × 15 × 1/2}}[/tex]

[tex]\sf{ | R | = \sqrt{100 + 225 + 10 × 15 }}[/tex]

[tex]\sf{ | R | = \sqrt{335 + 150 }}[/tex]

[tex]\sf{ | R | = \sqrt{485 }}[/tex]

[tex]\sf{\red{ | R | = 22.02 \: km}}[/tex]

Hence, The magnitude of the car resultant vector is 22.02 km.

1. Which of the following is NOT a possibility
for a system of two linear equations?
a. having no solution
b. having one solution
c. having two solutions
d. having infinitely many solutions

Answers

Answer:

c. having two solutions

Answer:

C because for there to be two solutions, one or more of the lines graphed would have to be curved, meaning having two solutions is not possible for two linear equations


Write the equation of the line that has a slope of 3/4 and yintercept of -7

Answers

Answer:

y= 3/4x -7

Step-by-step explanation:

equation of a line

y= mx+b

the slope is m

and the y intercept is b

in this case it would be

y= 3/4x -7

Answer:

Step-by-step explanation:

y = mx + b

y = 3/4x - 7

Hope this helps!

In triangle ABC, EP=4. What is PC?

Answers

Answer:

PC = 8

Step-by-step explanation:

BF and CE are medians of the triangle.

On each median the distance from the vertex to the centroid P is twice as long as the distance from the centroid to the midpoint, then

PC = 2 × EP = 2 × 4 = 8

g(t)-3t-5;Findg(-9) of you could show the steps to solve.

Answers

Step-by-step explanation:

Substitute t = -9:

[tex]g( - 9) = 3( - 9) - 5[/tex]

Solve:

[tex]g( - 9) = - 27 - 5[/tex]

[tex]g( - 9) = - 32[/tex]

What is the common ratio of the
geometric sequence? 1,2,4,8

Answers

Answer:

r = 2

Step-by-step explanation:

To find the common ratio (r) of a geometric sequence, simply divide a term by its previous term.

   8 ÷ 4 = 2

or, 4 ÷ 2 = 2

or, 2 ÷ 1 = 2

What is the image of the point (-4,7) after a rotation of 180° counterclockwise
about the origin?

Answers

(-4,7) 180 counterclockwise is

(4,-7)

I need help with this question quick :,) please answer lol

Answers

Answer:

y=6x-4

Step-by-step explanation:

First find the slope using the coordinates of (-1,-10) which will be your first pair x1 and y1. And (3,14) will be x2 and y2. To find the slope use this formula: m= y2-y1/x2-x1

Put the numbers of the coordinates in the formula and you get a fraction of

24/4 = 6 this is the slope

m=6

Then to find the y-int

Pick a coordinate they both will give the same answer. Put it into the point slope formula: y-y1=m(x-x1)

Only use y1, x1, and m which is 6 And solve

y-14=6(x-3) distribute the 6 this gives you
y-14=6x-18 to get y by itself, ADD 14 to both sides of the equal sign

Leaving you with y=6x-4

HELP ME what is the slope of a line y=20x

Answers

Answer:

20

Step-by-step explanation:

This equation is in slope-intercept form which is y=mx+b where m is the slope and b is the y-intercept. Therefore, the slope is 20

Can y’all please help me with this question . I need the answer ASAP!!

Answers

Answer: This is the answer to your equation sorry I had to do It on a doc

Answer:

-4

-4

1

-8

1

Step-by-step explanation:

[tex]x^2-4x-8=0[/tex]

Comparing [tex]ax^2+bx+c=0[/tex]

⇒ a = 1, b = -4 and c = -8

Substituting these values into the quadratic formula:

[tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-8)} }{2(1)}[/tex]

(The numbers you need to fill in the blanks are in bracket)

A rectangle 9cm long is equal in area to a square which has a perimeter of 24cm. Find the width of the rectangle

Answers

Answer:

4cm

Step-by-step explanation:

:)

We know that the length of the rectangle is 9 cm, and it is equal in area to a square that has a perimeter of 24 cm. Since all sides of a square is equal, and a square has 4 sides, the area of the square would be 36. This is because 24/4 is 6, and 6*6 is 36. We now just need to find something multiplied by 9 that equals 36. In other words, 9x = 36. We can isolate 9 by dividing 9 from both sides. This gives us x = 4.

The width of the rectangle is 4 cm.

Help me

solve this equation pls


x - -4 = -6

Answers

Answer:

x= -10

Step-by-step explanation:

[tex]x - ( - 4) = - 6 \\ x = - 6 - 4 \\ x = - 10[/tex]

Answer:

[tex]=> \: x = - 10[/tex]

Step-by-step explanation:

=> x - -4 = -6

=> x -( -4 )= -6

=> Collect like terms

=> x = -6 -4

[tex]=> \: x = - 10[/tex]

When A is -3, is b or c greater

Answers

Answer:

c letter is correct I think....

Find GCF of 28y^5, and 6300x

Answers

225
hope it helps :))))

ect the best answer for the question.
What is the slope of a line that passes through (-12,15) and (0,4)?

Answers

Answer:

y = -11/12x + 4

Step-by-step explanation:

(-12,15) and (0.4)

4 - 15 = -11

0 -(-12) = 12 (since minus a negative = positive)

-11/12

Then just put the numbers.

15 = -11/12(-12)

15 = 11 + b

4 = b

Additional Information:

Slopes are really fun to do, but they get tricky and confusing. By the way, I am 14 years old and I did slopes, and I'm not the best at this, so I might be wrong. :( Don't hate me.

Answer:

  -11/12

Step-by-step explanation:

The slope of the line is the difference in y-values divided by the difference in x-values. It is ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -15)/(0 -(-12)) = -11/12

The slope of the line through the given points is -11/12.

What is the length of the midsegment of this trapezoid?

Answers

Answer:

7 units

Step-by-step explanation:

the distance between -2 and 4 on the x axis is 7

and then i found the middle point and tried to find the length of it on the y axis

Which list of points are solutions to the graph of y = 1/2x - 2​

Answers

Answer:

B) (20,8) , (30,13) , (40,18)

Step-by-step explanation:

To check: (20,8)

y = 1/2x - 2

8 = 1/2(20) - 2

8 = 10 - 2

8 = 8

This is true, which makes our point true.

To check: (30,13)

y = 1/2x - 2

13 = 1/2(30) - 2

13 = 15 - 2

13 = 13

This is true, which makes our point true.

To check: (40,18)

y = 1/2x - 2

18 = 1/2(40) - 2

18 = 20 - 2

18 = 18

This is true, which makes our point true.

Hope that helps!

CAN SOMEBODY PLEASE HELP ME ASAP!!!! will mark brainliest
Tom is making a cover for a box that is 4.5 feet long and 23 inches wide. What will be the area of a cover in square inches?

Answers

Answer:

103.5

Step-by-step explanation:

The area is the height times width, and 4.5 times 23 is 103.5.

Fill in the blank with the correct response.
Twenty-seven is 25% of _____?

Answers

108 is the answer 25% of 108

Twenty-seven is 25% of 108

The cylinder below has a volume of 2,5 12 cm3
and a height of 2 centimeters. What is the
diameter of the cylinder? Use 3.14 for pi.

Answers

Answer:

Radius=10cm

Diameter=20cm

Hope this helps :))))

pls help me on this question people are just putting the answer as I don't know plsssss help me

Answers

Answer:

322 ft²

Step-by-step explanation:

Trapezoid area formula:

[tex]A=\frac{a+b}{2} *h[/tex]

Given:

a = 11

b = 35

h = 14

Work:

[tex]A=\frac{a+b}{2} *h\\\\A=\frac{11+35}{2} *14\\\\A=\frac{46}{2} *14\\\\A=23*14\\A=322[/tex]

Answer:

322 ft^2

Step-by-step explanation:

for a trapezoid A= base 1+ base 2 divided by 2, multiplied by the height

(35+11/2)*14= 322

Theo saved $20 of his allowance money to buy art supplies. He bought a box of oil pastels for $6.20 and then spent ⅓ of the remaining money on new paintbrushes.

How much money did Theo have remaining/left after buying oil pastels?

Answers

Answer:

$13.80

Step-by-step explanation:

if it's only asking how much he had after buying the oil pastels, it's just 20-6.20 which is 13.80

Help please how do i do this problem

Answers

Answer:

Choose any number to be the variable x, then multiply it by 13.2 for your answer.

Step-by-step explanation:

Choose a number for the variable x, and put it in the box with parentheses.

Then, multiply it by 13.2 for your final answer, and put it in the open box.

Hope this helps. Btw, can I have Brainliest? PLEASE PLEASE PLEASE?!

Tesa and Vivienne share £96 in the ratio 5:3. How much does Tesa receive?​

Answers

Answer:

Tessa receives £60

Step-by-step explanation:

The ratio is 5:3 so 5+3=8 which is then what you use to divide 96

96/8=12

12x5(the 5 comes from the ratio for Tess) is 60 therefore she receives £60

Answer:

60£

Step-by-step explanation:

Tesa and Vivienne share £96 in the ratio 5:3. How much does Tesa receive?​

96 : (5 + 3) = 12

12 * 5 = 60

what is the solution to 2h + 8 > 3h - 6

Answers

Answer: H<14

Expelnation:2

h

+

8

>

3

h

6

8

>

h

6

(subtract

2

h

from both sides)

14

>

h

(add

6

to both sides)

or

h

<

14

There are three different companies that are willing to provide the hot dogs.
• Company A charges $15 toevery 25 hot dogs, plus a cooking fee of $65.
• Company B charges $7 for every 14 hot dogs, plus a cooking fee of $62.
• Company C charges $22 for every 50 hot dogs, plus a cooking fee of $57.
Based on the number of hot dogs needed in question 5, what company will charge you the least amount of money? How do you know?

Answers

Answer:

Company A makes more for one purchase, and Company B makes more for ten purchases. Company C makes less for one purchase and Company A makes less for ten purchases.

Step-by-step explanation:

Company A: y = -3/5x + 65

Company B: y=1/2x + 62

Company C: 11/25x + 57

Make sure x is 1 then do all the equations, then x is 10 and do all the equations to see which has more amount of money and which has less.

Company A: 64.4 (if x = 1)

Company B: 62.5 (if x = 1)

Company C: 57.44 (if x = 1)

if x = 10

Company A: 59

Company B: 67

Company C: 61.4

(I might be wrong since I'm 14)

Company A makes more for one purchase, and Company B makes more for ten purchases. Company C makes less for one purchase and Company A makes less for ten purchases.

I need help!!!!!!!!!!

Answers

Answer:

less

greater

less

greater

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