Find the sum of the geometric sequence.
1, 1/2, 1/4, 1/8, 1/16.

Answers

Answer 1

Answer:

2

Step-by-step explanation:

a1= 1

r= a2/a1

r= (1/2)/1

r=0.5

s= a1/1-r

s= 1/1-0.5

s=2


Related Questions

Answer the question you hopeless heathens


Monico recently hired a roofer to do some necessary work. On the final bill, Monico was charged a total of $605. The amount listed for parts was $285 and the rest of the bill was for labor. If the hourly rate for labor was $64, how many hours of labor was needed to complete the job?

(A) First write an equation you can use to answer this question. Use x as your variable. The equation is ___________________

(B) Solve your equation in part (A) to find the number of labor hours needed to do the job. Answer: The number of labor hours was ________________

Answers

Answer:

A) 64x + 285 = 605

B) 5 hours

Step-by-step explanation:

64x + 285 = 605

64x + 285-285 = 605 - 285

64x = 320

64x/64 = 320/64

x = 5

Double check

($605 Total - $285 parts) / $64 Hourly rate = Labor per hour

$320 Labor / $64 Hour = 5 hours

or 64x

what number should be added to -5/8 to get -3/2​

Answers

Answer:

-7/8

Step-by-step explanation:

-5/8+x=-3/2

x= -3/2+5/8=-12/8+5/8= -7/8

Which expressions are equivalent to 5 +(-3)(6x - 5) ?
Choose all answers that apply:
A 182 – 20
B 3.2 - 3
С None of the above

Answers

[tex]\\ \sf\longmapsto 5+(-3)(6x-5)[/tex]

[tex]\\ \sf\longmapsto 5-3(6x-5)[/tex]

[tex]\\ \sf\longmapsto 5-18x+15[/tex]

[tex]\\ \sf\longmapsto -18x+15+5[/tex]

[tex]\\ \sf \longmapsto -18x+20[/tex]

Option C is correct

None of the above

Answer:

18x + 20

Step-by-step explanation:

5 + (-3)(6x - 5)

Step 1. start by the parentheses (by multiplying (-3) by (6x - 5)

Answer: (-18x + 15)

Step 2. Add 5 to (-18x + 15)

Answer: (-18x + 20)

Thus, (-18x + 20) isn't a choice so None of the above

The digits 0,1,2,3,4,5 and 6 are used to make 3 digit codes

In case where digits may be repeated, how many codes are numbers that are greater than 300 and exactly divisible by 5?​

Answers

Answer:

345/5=69

Step-by-step explanation:

345/5=69

355/5=71

The median of a triangle divides it into two________.​

Answers

The median of a triangle divides it into two equal triangles of equal areas.

Must click thanks and mark brainliest

Adding integers what is (-9)+5

Answers

Answer:

-9 + 5 = -4

I hope you understand and you don't need an explanation

The answer is -4, if you owe somebody 9 cents and give them 5 you still owe them 4

What integer is equal to 5!×2!?​

Answers

Answer:

240

Step-by-step explanation:

! means factorial or to multiply by the previous number down to one so 5!=5*4*3*2*1=120 120*2=240.

Which table represents a function?
GO
х
-3
0
-2
8
y
-1
0
-1
1
х
-5
0
-5
6
y
-5
0
5
-6
х
-4
-2
-2
0
у
8
2
4
2
х
-4
3
1
-4
у
2.
5
3
0

Answers

The table that represents a function in the options given is: Table A. (see image attached below).

Recall:

If a relation represents a function, the relation must have exactly one y-value assigned or related to each x-value.

In the tables given, only the first table has exactly one y-value assigned or related to every x-value given.

Therefore, the table that represents a function in the options given is: Table A. (see image attached below).

Learn more about function table on:

https://brainly.com/question/3632175

Answer:

Graph A

Step-by-step explanation:

A cyclist rides her bike at a speed of 30 kilometers per hour. What is this speed in kilometers per minute? How many kilometers will the cyclist travel in 2
minutes? Do not round your answers.

Answers

Answer:

0.5 km/min and 1km

Step-by-step explanation:

30 km in an hour

30 km in 60 mins, 30/60 km in one minute so she cycle 0.5km/min. They will cover 1 km in 2 minutes

Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.

Answers

128Answer:

128

Step-by-step explanation:

vì 4+4=8

8+8=16

16+16=32

32+32=64

64+64=128

Exponents Properties Practice

Write an equation to model the situation and answer the question. Include units when applicable.

In a much happier economy, Mr. Demo earns 5% monthly interest on his savings. After a $300 withdrawal, he notices he has $2021 in his account. He has collected interest for 3 months. What amount did he start with?

Answers

we can use this equation to solve:

[tex]a = p(1 + \frac{r}{n} ) ^{nt} [/tex]

a = final amount

p = initial amount

r = percentage increment (in decimal form)

n = amount of time interest is compounded

t= time (in years)

Since the guy w withdrew $300 and saw that his account still has $2021 left, he must have had $2321 in total.

5% interest is .05 in decimal form

since the account is compounded monthly, n=12

Because the account has been collecting interest for 3 months and t is supposed to be in years, dividing 3 by 12 will yield 1/4, or . 25

How many two-digit numbers are there which are multiples of both 2 and 7?


Answers

2 digits number = 10-99

Lets find the multiples of 2 and 7 both

Which are = 14, 28,42,56,70,84,98

Therefore there are 7 two digit multiples of both 2 and 7

Must click thanks and mark brainliest

9514 1404 393

Answer:

  7

Step-by-step explanation:

Those numbers are 14, 28, 42, 56, 70, 84, 98. There are 7 numbers that are multiples of 2 and 7 (multiples of 14).

1. In the past, Sam cashed his paycheck each month at Ready Cash, a check cashing service that
charges a 5% fee. He recently opened a checking account at Bank of America so he can now
deposit and/or cash his paycheck without a fee. If Sam is making $28,500 per year, how much will
he save by not going to Ready Cash anymore?

Answers

Step-by-step explanation:

28000 ÷ 100

=280

280 × 5

=1400

Question 1 plz show ALL STEPS

Answers

Answer:

1a= 10

Step-by-step explanation:

[tex]f(g(1) = 3( - 2(1) + 7) - 5[/tex]

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

[tex]15 - 5 = 10[/tex]

Answer:

Step-by-step explanation:

f(x) = 3x - 5

g(x) = - 2x + 7

(a). f(g(1)) = 10

g(1) = - 2(1) + 7 = 5

f(5) = 3(5) - 5 = 10

(b). f(g( - 4)) = 40

g( - 4) = - 2( - 4) + 7 = 15

f(15) = 3(15) - 5 = 40

(c). g(f( - 2)) = 29

f( - 2) = 3( - 2) - 5 = - 11

g( - 11) = - 2( - 11 ) + 7 = 29

(d). g(f(3)) = - 1

f(3) = 3(3) - 5 = 4

g(4) = - 2(4) + 7 = - 1

a polynomial p has zeros when x=1/5,x=-4, andx=2 what could be the equation of p?​

Answers

Answer:

x^3 + (9/5)x^2 -(42/5)x + (8/5)

Step-by-step explanation:

since 1/5, -4, and 2 are all zeroes, (x-1/5)(x+4)(x-2) must be a factor of p. if you distribute the statement, you get

8.9 x 10^3 in standard notation

Answers

Answer:

that is n standard notation mah frand

8.9 × 10^3 being scientific notation of " 8900 "

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{8.9}\times\large\textsf{10}^\mathsf{3}\\\\\mathsf{10^3}\\\mathsf{= 10\times10\times10}\\\mathsf{= 100\times10}\\\mathsf{= \bf 1,000}\\\\\large\textsf{8.9}\times\large\textsf{1,000}\\\\\large\textsf{= \bf 8,900}\\\\\\\boxed{\boxed{\huge\text{Answer: \boxed{\underline{\underline{\bf 8,900}}}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\boxed{\huge\text{}\boxed{\frak{Amphitrite1040:)}}}[/tex]

What is the value of x?

Enter your answer in the box.

__units.



Please help click the picture to see the problem!

Answers

Using basic proportionality theorem

[tex]\\ \sf\longmapsto \dfrac{x}{10}=\dfrac{42}{15}[/tex]

[tex]\\ \sf\longmapsto 15x=42(10)[/tex]

[tex]\\ \sf\longmapsto 15x=420[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{420}{15}[/tex]

[tex]\\ \sf\longmapsto x=28[/tex]

Find the measure of ZJ, the smallest angle in a triangle
with sides measuring 11, 13, and 19. Round to the
nearest whole degree.
O 30°
O 34°
o 42°
O 47°

Answers

Make A the subject
2bc.cos(A) = b^2 + c^2 - a^2
cos(A) = (b^2 + c^2 - c^2) / (2bc)
cos(A) = (13^2 + 19^2 - 11^2) / (2 x 13 x 19) = 0.827935
A = 34 degrees

Find the least common multiple of 14 and 22.

Answers

Answer:

154

Step-by-step explanation:

14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154,…

22: 22, 44, 66, 88, 110, 132, 154,…

The least common multiple is 154
The right answer is 154 hope this helped

f (-10) = ?
Evaluate piecewise functions

Answers

Answer:

f(- 10) = 150

Step-by-step explanation:

f(- 10) with t = - 10 corresponds to t ≤ - 10 with f(t) = t² - 5t , then

f(- 10) = (- 10)² - 5(- 10) = 100 + 50 = 150

for t=-10

f(t)=t²-5t

So

f(-10)

(-10)²-5(-10)100+50150

Find the value of m.
L
R
A
3m +21 U
6m
O A. 14
ОВ. 7

Answers

Answer:

B

Step-by-step explanation:

Since LR=LA, RU=RA. 3m+21=6m, 3m=21, m=7

Find the remainder when f(x)= 8x^3+ 4x^2
13x + 3 is divided by 2x + 5.

Answers

Answer:

-129

Step-by-step explanation:

2x+5=0

x=-5/2 [By the remainder theorem]

f(-5/2)=8(-5/2)^3+4(-5/2)^2+13(-5/2)+3

=-125+25-65/2+3

=-129.

The blueprints of a house have a scale factor of 30. If one side of the house measures 4 inches on the blueprint, how long is the actual side length (in feet)?

A. 7.5 feet
B.10 feet
C. 90 feet
D. 120 feet

Answers


c. 90 feet is the actual length

If the scale factor is 30, then all you have to do is multiply each measurement by the scale factor. In this case, 4 · 30 = 120.

Given the function h(t) = 2t to the power of 2 + 9 evaluate h(5)

Answers

9514 1404 393

Answer:

  59

Step-by-step explanation:

Put 5 where t is and do the arithmetic.

  [tex]h(t)=2t^2+9\\\\h(5)=2\cdot5^2+9=2\cdot25+9\\\\\boxed{h(5)=59}[/tex]

Consider the following.
3^5x − 1 = 7
(a) Find the exact solution of the exponential equation in terms of logarithms.

(b) Use a calculator to find an approximation to the solution rounded to six decimal places.

Answers

Answer:

Step-by-step explanation:

You've typed the equation incorrectly. 3^5x-1 = 3⁵x-1.

It needs to be typed as 3^(5x-1) = 7.

solve for x! please help (show work)

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

Solving for [tex]x[/tex], we get:

[tex]16=2(3x-6)+x[/tex]

[tex]16=2*3x+2(-6)+x[/tex] (Distributive Property of Multiplication)

[tex]16=6x-12+x[/tex] (Multiply distributed terms)

[tex]16=7x-12[/tex] (Combine like terms)

[tex]16+12=7x-12+12[/tex] (Add [tex]12[/tex] to both sides of the equation to isolate [tex]x[/tex])

[tex]28=7x[/tex] (Combine like terms / Simplify)

[tex]\frac{28}{7}=\frac{7x}{7}[/tex] (Divide both sides of the equation by [tex]7[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]\bf x=4[/tex] (Simplify / Symmetric Property of Equality)

Hope this helps!

Step-by-step explanation:

[tex]16 = 2(3x - 6) + x \\ 16 = 6x - 12 + x \\ - 6x - x = - 12 - 16 \\ - 7x = - 12 - 16 \\ 7x = 12 + 16 \\ 7x = 28 \\ x = \frac{28}{7} \\ x = 4[/tex]

The graph of y=x√ is translated 5 units to the left and 7 units up. What is the equation of the graph that results from this translation?

Answers

Answer:

[tex]y = \sqrt{x - 5} + 7[/tex]

Add 5/20 + 1/20. Simplify your answer.

Answers

Answer:

3/10

Step-by-step explanation:

1) 5/20+1/20= 6/20

2) Both 6 and 20 lowest number on dividing: 2

6 divide by 2= 3     20 divide by 2= 10

5/20+1/20

= 5+1/20

= 6/20

= 3/10

NEED HELP ASAP!!!! PLEASEEE

Answers

The first answer of the missing blank is 4/5.

The second answer of the missing blank is 2.

The third answer of the missing blank is 25.

*For all of these solutions, I will be using the common rules for logarithms.*

Solution for the first question:

Log9^4/5 must equal log9^4-log9^5, or it could also equal the more proper version, which is simplified: 2log9^2-log9^5.

Solution for the second question:

Log3^22 must equal log3^11+log3^2, if you break it down.

Solution for the third question:

Log9^25 must equal 2log9^5 because it will be like this when simplifying it:

log9^25=2log9^5

log9^5²=2log9^5

2log9^5=2log9^5

These are all of the step-by-step procedures for all three of these given questions. Anyways, I hope that this helped you!

You are installing new carpeting in a family room. The room is rectangular with dimensions 2012feet × 1318feet. You intend to install baseboards around the entire perimeter of the room except for a 312-foot opening into the kitchen. How many linear feet of board must you purchase?

Answers

Answer:6348feet

Step-by-step explanation:

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