What is the missing term of the geometric sequence below?
7, ?, 63,...

A: 28
B: 3
С: 35
D: 21

Answers

Answer 1

9514 1404 393

Answer:

  D: 21

Step-by-step explanation:

The first term is (a1). The third term is (a1)r². The product of these terms is ...

  (a1)(a1)r² = ((a1)r)², the square of the second term.

The missing term is √(7·63) = √441 = 21.

_____

Additional comment

In consideration of the above, you can also see that the common ratio can be found from ...

  a3/a1 = ((a1)r²)/(a1) = r² = 63/7 = 9

Then the common ratio is r = √9 = 3, and the second term is 7·3 = 21.


Related Questions

I need help with this

Answers

Answer:

ul and lw

Step-by-step explanation:

it is very easy answer there is no need of explanation for this answer

ALGEBRA Ishiro Murakami has $15.60 deducted weekly for
family medical insurance. His employer pays 85% of the cost.
What is the annual premium?

Answers

Murakami's Annual premium which is the total value of medical insurance in a year is $5408

Percentage paid by employer = 85%Percentage paid by worker = 15%Number of weeks in a year = 52

Annual deduction from worker's salary = 52 × 15.60 = $811.2

15% of annual premium = 811.2

Let annual premium = p

Therefore,

15% × p = 811.2

0.15p = 811.2

Divide both sides by p

p = 811.20 / 0.15

p = $5408

Therefore, his annual premium is $5408

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HELP LAST ATTEMPT !!!!!?

Answers

Answer:

180=34+4x+90

180=124+4x

4x=56

X=14

Point upper D left parenthesis negative 3 comma 5 right parenthesis. is a vertex of triangle DEF. After a rotation of the triangle about the origin, upper D prime is located at left parenthesis 3 comma negative 5 right parenthesis. Which of the following was the rotation of the triangle?

Answers

The rotation that the triangle DEF underwent is defined as follows:

180º around the origin.

Rotation

A rotation is one example of transformation that a function can undergo, along with transformation, compression, stretching, dilation or reflection.

A rotation changes the inclination of the figure, and the rules for each rotation are given as follows:

90° clockwise rotation: (x,y) -> (y,-x)90° counterclockwise rotation: (x,y) -> (-y,x)180° clockwise and counterclockwise rotation: (x, y) -> (-x,-y)270° clockwise rotation: (x,y) -> (-y,x)270° counterclockwise rotation: (x,y) -> (y,-x)

In this problem, the coordinates are given as follows:

Original: (-3,5).Image: (3,-5).

Hence the rule is:

(x,y) -> (-x, -y).

Meaning that a rotation of 180º around the origin was done.

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HELPPPP PLEASEEEDJDJSJNDN

Answers

Answer:

x=14/9

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

9x - 7 = -7

Add 7 on both sides so that 9x can be isolated

9x - 7 + 7 = -7 + 7

9x = 0

Divide by 9 on both sides so x can be by itself

9/9x = 0/9

x = 0

Which of these is the smallest number?
A. 1 1/2 ( one and one over two)

B. 1/3

C. 1 1/10 (one and one over ten)

D. 1/4

E. 1/2

Answers

Answer:

B this is the smallest number

Show how to work the division problem 47 divided by 8 please

Answers

Answer:

Step-by-step explanation:

47 divided by 8

= 5.875

hope this helps

Solve for the value of P. Please!!

Answers

the value of P is 10 because

Evaluate.

8(19−6⋅2)
enter the answer in the checkbox.

Answers

Answer:

102.4

Step-by-step explanation:

8(19-6.2)

8(12.8)

102.4

Answer:

102.4

Step-by-step explanation:

I looked it up on mathaway there is no explanation

currently get paid $12.00 an hour and I really want to make an extra $300.00 by working overtime. I'll need to work __________ extra hours

Answers

Answer:

25

Step-by-step explanation:

300/12 = 25

Maria and Ming start at the same point and drive in opposite directions.
Maria drives 40 mph and Ming drives 38 mph. How far apart will they be in
2 hours?
78 miles?
156 miles?
118 miles?
or 166 miles?

Answers

9514 1404 393

Answer:

  (b) 156 miles

Step-by-step explanation:

In 2 hours, Marian will have driven 2×40 = 80 miles, and Ming will have driven 2×38 = 76 miles. The distance between them is ...

  80 mi + 76 mi = 156 mi

The drivers will be 156 miles apart in 2 hours.

Select all ratios equivalent to 1:4.
I'm not too good at ratios and proportions, sorry

Answers

2:8
3:12
4:16

hope this helps you

1. John has 2 options to use gym facilities in his community.
Plan A:
$3 hourly rate.
Plan B:
$2 hourly rate plus $2 entrance fee per visit during off peak hours.
$4 hourly rate with discount $1 per visit during peak hours.
If John chooses plan A, how many hours he has to use the gym facilities per trip,
a. during off peak hours
b. during peak hours
in order to make his payment cost effective (Payment to be lower than plan B). Give a
conclusion for questions above.

Answers

Answer:

B

Step-by-step explanation:

because its even better when u see it be doing math

Evaluate.

(a−2b)3 when a=−3 and b=−1/2

Enter your answer in the box.

Answers

Answer:

[tex]-3.5[/tex]

Step-by-step explanation:

[tex](a-2b)^{3} \\=a^{3}-6a^{2} b+6ab^{2}-8b^{3}[/tex]

Given that,

[tex]a=(-3)\\b=(-1/2)[/tex]

So,

[tex](a-2b)^{3} \\=a^{3}-6a^{2} b+6ab^{2}-8b^{3}\\=(-3)^{3}-6* (-3)^{2} *\frac{-1}{2} +6*(-3)*(\frac{-1}{2} )^{2} -8*(\frac{-1}{2} )^{3} \\= (-27)-6*9*\frac{-1}{2} +-18*\frac{1}{4} -8*\frac{-1}{8} \\=(-27)-6*-4.5-4.5+1\\=-27+27-4.5+1\\=-3.5[/tex]

Hope this helps you

Let me know if you have any other questions :-)

it has a slope of -7 and passestrough the point (-3,16)

Answers

Answer:

y = -7x - 5

Step-by-step explanation:

y-intercept= 16 - (-7) (-3) = - 5

Stuck on this problem can someone please help

Answers

Answer:

b

Step-by-step explanation:

Answer:

it have to D

Step-by-step explanation:

A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of 16 3/4 liters per minute. The tank also has a drain that allows solution to leave the tank at a rate of 19 4/5 liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute? (b) Simplify and give your answer as a simplified mixed number. (c) What is the change in volume of the solution after 10 minutes? Show necessary work. Give your answer as a simplified mixed number.

Answers

The change in volume per minute and the total change in the volume of the solution after 10 minutes will be [tex] - 3 \frac {1}{20} \: litres [/tex] and [tex]- 30 \frac {1}{2} \: litres [/tex] respectively.

Entry rate = [tex] 16 \frac{3}{4} [/tex] per minute

Discharge rate = [tex] 19 \frac{4}{5} [/tex] per minute

Change in the volume of solution in the tank per minute can be calculated thus :

Change in volume = (Entry rate - Discharge rate) × time

[tex] 16 \frac{3}{4} - 19 \frac{4}{5} = \frac{67}{4} - \frac{99}{5} = \frac{(335 - 396)}{20} = \frac{-61}{20} = - 3\frac{1}{20} \: litres \: per \: minute [/tex]

The total change in the volume of solution in the tank after 10 minutes can be calculated thus :

Change in volume per minute × time

[tex] - \frac{61}{20} \times 10 = - \frac{610}{20} = - 30 \frac {1}{2} \: litres [/tex]

Therefore, the solution in the tank decreases by [tex] 30 \frac {1}{2} \: litres [/tex] after 10 minutes

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Write an equation for a line that passes through the points (1, 2) and (11, 22). The form is your choice.​

Answers

y=mx+b

-3=3(3)+b

-3=9+b

-12=b

What's 9+10
If you did a 6 foot hole how deep is that hole
How do you spell red

Answers

Answer:

1.) 9+10=21

2.) about like. . . 20 feet

3.)L S T E R

it's considered theft when someone forces you to give them $1,000. why is it generally not considered theft when the government forces you to give them $1,000 in taxes?

Answers

Answer:

The government has more power than a normal person. I don't support what the government is doing but they do have power.

its because the government has more control than a normal person. it would be considered theft if it was only the normal person

Calculus, second derivative. Please help! Show work, if possible please. Thanks! :)

Answers

Answer:

y''=sec^3(x)*csc(x)+sec^2(x)*tan(x)-2cot(x)*csc(x)*sec(x)*tan(x)+cot^2(x)*csc(x)*sec(x)+csc^3(x)*sec(x)

Step-by-step explanation:

we are given y= csc x sec x

We use the rule for multiplying derivatives and the knowledge that the derivative of csc is -csc*cot and the derivative of sec is sec*tan to get

csc(x)*sec(x)*tan(x)+sec(x)*-csc(x)*cot(x)

which simplifies to

csc(x)*sec(x)*tan(x)-sec(x)*csc(x)*cot(x)

Using the same rules again (in tedium so they are not listed but can be inferred) we find the second derivative is

sec^3(x)*csc(x)+sec^2(x)*tan(x)-2cot(x)*csc(x)*sec(x)*tan(x)+cot^2(x)*csc(x)*sec(x)+csc^3(x)*sec(x)

Help I'm not good at this :))

Answers

Step-by-step explanation:

1 yes it is rational

2 not

3yes

4 not

5 yes

Which is greater 2/3 or 4/7

Answers

Answer:

2/3

Step-by-step explanation:

Its closer to one

Answer:

2/3

Step-by-step explanation:

2/3 = 14/21

4/7=12/21

please help me solve this !
will mark brainliest !
(spammers reported)

Answers

Answer

-10

Step-by-step explanation:

-8w-7=9

add 7 to both sides

-8w=16

divide by negative 8 on both sides

w=-2

w-8=-10

On simplifying,

-8w - 7 = 9

-8w = 16

w = -2

then,

= w - 8

= -2 - 8

= -10.

help!!!!What is a value of y that makes the relation (3,5)(2,5)(9,y)a function!

Answers

Answer:

tesie nqsguirin tentndaoloe

Step-by-step explanation:

Solve for t in 2^t²- t= 4​

Answers

Answer:

t= -1/2 ,t=4

Step-by-step explanation:

2t^2- t -4 =0

2t^2 - 8t+t -4=0

(we have to find the factor here. I have used The Product Sum method of factorization)

2t( t-4) + 1( t-4)=0

(2t+1) (t-4)=0

t= -1/2 ,t=4

graph the linear equation

y+2=-3(x+2)

Answers

Here is how your graph should look. Make sure to plot (0,-8) as your y-intercept.

Hope this can help ! :)

7. John is going on a trip to Brazil. He has 3 pairs of pants, with colors blue, black and green. He
has 6 shirts with colors red, white, yellow, purple, green and brown. If he has a pair of brown
shoes, black shoes and a pair of sneakers, how many different combination of pants, shirts and
foot wear can he wear while on vacation? Show your work.

Answers

Answer:

54

Step-by-step explanation:

3(pants)x6(shirts)x3(shoes)=54

Solve for x: -7 < X - 1 < 8

Answers

Answer:

4th option

Step-by-step explanation:

-7 < X - 1 < 8

Add +1 on all side

-7+1<x-1+1<8+1

-6<x<9

Answer:

D

Step-by-step explanation:

-7<x-1 and - 1<8

-7<x-1 : x>-6

x-1<8 : x<9

combine x>-6 and x<9

= -6 < x < 9

Internet rates for two companies are shown in the table. After how many months of
service is the total cost the same no matter which company is used? What is this total
cost?
Intemet Service Provide
Charges

Tyson's Ethernet $100 activation fee plus $20 per month

Darriana's DSL
$30 per month


A 10 months, $300

B 20 months, $600

C 30 months, $700

D 2 months, $60

Answers

100+(20×10)=300

30×10 =300

months = 10

The total cost becomes the same after 20 months of service, and the total cost is $600.

To find out when the total cost becomes the same for both companies, we need to compare their cumulative costs over time.

Tyson's Ethernet has an activation fee of $100 plus $20 per month, while Darriana's DSL costs $30 per month.

Let's set up equations for both companies:

For Tyson's Ethernet:

Total cost = Activation fee + Monthly charges

Total cost = $100 + ($20/month) * months

For Darriana's DSL:

Total cost = Monthly charges

Total cost = ($30/month) * months

We want to find when these two total costs are equal:

$100 + ($20/month) * months = ($30/month) * months

Now we can solve for the number of months:

$100 + ($20/month) * months = ($30/month) * months

$100 = ($30/month - $20/month) * months

$100 = $10/month * months

months = $100 / $10

months = 10

So, it takes 10 months for the costs to be equal. Now let's find the total cost at that point:

Total cost = ($30/month) * months

Total cost = ($30/month) * 20 months

Total cost = $600

Therefore, after 20 months of service, the total cost is the same for both companies, and the total cost is $600.

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