The first and last buttons are 15 inches apart when measured from the top of the first button to the top of the last button. What is the distance, in inches, between the top two buttons on his shirt, from the top of one to the top of the other? (there are 5 buttons btw)

Answer:

a) Find the common ratio of this sequence.

Answer: -0.82

b) Find the sum to infinity of this sequence.

Answer: 2.2

Step-by-step explanation:

nth term in geometric series is given by [tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82[/tex]

where

a is the first term

r is the common ratio and

n is the nth term

_________________________________

given

a = 4

4th term = -2.196

let

common ratio of this sequence. be r

[tex]4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82[/tex]

a) Find the common ratio of this sequence.

answer: -0.82

sum of infinity of geometric sequence is given by = a/(1-r)

thus,

sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2

Answer:

(0, -1) I think

Step-by-step explanation:

I have not done this in a while

Hope this helps, though.

Answer:

5/18

Step-by-step explanation:

The simplified answer is 5/18

Step-by-step explanation:

the answer is

0.27777777777

Step-by-step explanation:

Answer:

xy/100=135

xy=13500

x=13500/y

Answer: 0

Step-by-step explanation:

Any expression multiplied by 0 = 0

Answer:

90

Step-by-step explanation:

90

Answer:

27

Step-by-step explanation:

The sum of all exterior angles of any quadrilateral= 360°

3x+2x+40+x+50+4x = 360°

11x + 90 = 360°

11x = 360 - 90

10x = 270

x = 270/10

x = 27

Answer:

1. 225 km

2. 95 km

3. 412.5 km

Step-by-step explanation:

For this one, it is saying that for every 2 cm, that is 50 km. So if you look at 9 cm, you can divide that by 2 cm to get 4.5 cm, this is what you can multiply by 50 km to get 225. Or you can look at it this way, for every 1 cm, the actual distance is 25 km. Then you can multiply each value by 25 to get your answer. Whichever one works for you.

Answer:

[tex]-1/16[/tex]

Step-by-step explanation:

Answer:

1/16

Step-by-step explanation:

(1/2 × 1/2 × 1/2 × 1×2)

(1/4 × 1/4)

(1/16)

Answer:

200000

Step-by-step explanation:

I believe that 200000x7000 = 1400000000 (The answer to the China population equation), therefore should be correct. Hope this helped.

Answer: Look at the photo

Step-by-step explanation:

[tex](3x + 3) + (4x + 2) = 180\\7x + 5 = 180\\[/tex]

Substract 5 from both sides

[tex]7x = 175[/tex]

Divide by 7 from both sides

x = 25

Answer:

its 180.... that's the answer

Answer:

it is 80 + 64

Step-by-step explanation:

All you have to do is multiply 8 by the numbers inside the parenthesis

Answer:

I believe rational

Step-by-step explanation:

Have a brainly day :D

Answer:

4 hours  

Step-by-step explanation:

16/4= 4

Answer:

B)

Step-by-step explanation:

Answer:

I think b

Step-by-step explanation:

Answer: 48 yards

Step-by-step explanation:

From the question, we are informed that a scale drawing of an office space uses a scale of 1 in. : 4 yd.

When the scale drawing has an area of 12 square inches, to get the area of the actual office space, we multiply the given number by 4 since the actual office space is 4× the scale drawing. This will be:

= 12 × 4 yards

= 48 yards

3^2 +2^3

9+2^3

9+8

Answer : 17

Answer:

9.7264

Step-by-step explanation:

I hope this helps!

Answer:

-3 / 5

Step-by-step explanation:

18-6 / -16-4

12 / -16-4

12 / -20

-3 / 5

Answer:

96+t=264

Step-by-step explanation:

Answer:

y=−1/6x−6

Step-by-step explanation:

Answer:

A) 98.94 sq. meters

B) 42 sq. meters

Step-by-step explanation:

A) So first we calculate the area for the square which is 15*20 = 300. Then we calculate the area of the circle which is pi*r^2 and in this case the radius is 4 which is 1/2 of 8. The area is approx. 201.06. Then we subtract that from 300. 300-201.06 = 98.94. The answer for A) is approx. 98.94

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

B)First we calculate the area of the whole square which is 8*6 = 48. Then the area of the garden which is 2*3 = 6. 48-6 = 42. The answer is B) is 42 then.  

Answer:

12 times 0.4 equals 4.8

Step-by-step explanation:

becase if u add 0.4 together 12 times thus will give you 4.8

12*4 = 48

48/10 = 4.8

Answer:

1. n=-6

2. x=-17

Step-by-step explanation:

Answer:

(1,4)

Step-by-step explanation:

Answer: x = 1, y = 4

Steps: 3y + 4x = 16,  -2x + y = 2

Isolate y for 3y + 4x = 16:   y = (16 - 4x ÷ 3)

Substitute y into the other equation (-2x + y = 2):   -2x + (16 - 4x ÷ 3) = 2

Simplify: 16 - 10x ÷ 3 = 2

Isolate x for 16 - 10x ÷ 3 = 2:   x = 1

Substitute x = 1 into  y = (16 - 4x ÷ 3):  y = 16 - 4x · 1 ÷ 3

y = 4, x = 1

Plz mark brainliest:)

Answer:

1) 77

2) -11

3) -11

4) 7

5) 29

Step-by-step explanation:

Just sub the x into the equation.

*I recommend checking my answers, but this is what I would put/

Answer:

AAS Congruence Theorem

Answer:

98 degrees

Step-by-step explanation:

First calculate the entire triangles angles:

180 - 53 - 45 = final angle of triangle

82 = final angle of triangle

Using the straight line rule for angles, x and the inner angle must equal to 180 degrees:

180 - 82 = x

98 = x

Angle x is 98 degrees.

Answer: Since x is 157 degrees the missing value,m, is 23 degrees because a line is 180 degrees, n is also 23 degrees so it would be the same

Step-by-step explanation:

Answer:

d- the slope is undefined

Step-by-step explanation: