Given the following terms of a geometric sequence: a1=7, a11=7340032 ; Determine r and a8

Answers

Answer 1

Answer:

r = 4

a8 = 114,688

Step-by-step explanation:

a1=7

a11 = 7340032

a11 = a1*r^10

7340032 = 7 * r^10

7340032 = 7r^10

r^10 = 7340032/7

r^10 = 1,048,576

Find the 10th root of both sides

10√r^10 = 10√1,048,576

r = 4

a8 = a1 * r^7

= 7 * 4^7

= 7 * 16,384

= 114,688

a8 = 114,688


Related Questions

Find the following
[tex]2x + 3y = 13[/tex]
[tex]xy = 6[/tex]
find
[tex]8 {x}^{3} + 27 {y}^{3} [/tex]

Answers

Answer:

793

Step-by-step explanation:

x=2, y =3

8x³+27y³ = 64 + 729 = 793

This is for the first one

2. Which trinomial below is equivalent to the square of the binomial x-5?
(1) x² + 25
(3) x? - 25
(2) x² -10x+25
(4) x?-10x – 25

Answers

Answer:

2)   x² - 10x + 25

Step-by-step explanation:

(x - 5)(x - 5) = x² - 5x  -5x + 25

Combining like terms

x² - 10x + 25

What is the value of the expression 5x2-8x+4 when x = -3

Answers

Answer:

5 x 2 - 8x + 4

5 x 2 - 24 + 4

10 - 24 + 4

-10

Answer: -10

Amy deposits $8000 into an account that pays simple interest at a rate of 2% per year how much interest will she be paid in the first 4 years?

Answers

Dona will be paid 80 as interest. https://socratic.org/questions/donna-deposits-s800-into-an-account-that-pays-simple-interest-at-a-rate-of-2-per

When a fair die is rolled, find the probability of rolling the following:

2 or 6

Answers

I think it would be an 2

Use and method to find the total number of outcomes in each situation.
choosing one math class from Algebra and Geometry and one foreign language
class from French, Spanish, or Latin

Answers

Answer:  6

===========================================================

Explanation:

Think of a table that has 2 rows and 3 columns.

Each row represents a different math class (either Algebra or Geometry).

Each column represents a different foreign language class (French, Spanish or Latin).

This table has 2*3 = 6 cells inside. Each cell represents a different combination of classes possible.

In short, all we have to do is multiply the number of classes for each subject.

Answer:

Explanation:

Think of a table that has 2 rows and 3 columns.

Each row represents a different math class (either Algebra or Geometry).

Each column represents a different foreign language class (French, Spanish or Latin).

This table has 2*3 = 6 cells inside. Each cell represents a different combination of classes possible.

In short, all we have to do is multiply the number of classes for each subject.

Step-by-step explanation:

Help on this anyone?

Answers

Answer:

If angle LMN is 63 degrees and angle LMO is 32 degrees and angle OMN + angle LMO is 63 degrees

we subtract 32 from 63 to find OMN

63-32 = 31

Step-by-step explanation:

Answer:

31 degrees

Step-by-step explanation:

The biggest angle is 63 degrees, for find OMN we have to do

63 - 32 = 31 degrees

WILL GIVE BRAINLIEST

Answers

Answer:

Should be $300

let me know if it's correct:)

the answer is 300
because 96 x 3 = 288
204 x 3 = 612

when you minus 288 - 612 the answer is 324 and the estimate is 300

What is the recursive rule for the sequence?

−2.7, −8.3, −13.9, −19.5, −25.1




an=an+1+5.6, where a1=−2.7

an=an+1−5.6, where a1=−2.7

an=an−1+5.6, where a1=−2.7

an=an−1−5.6, where a1=−2.7

Answers

Answer:

[tex]a_{n} =a_{n-1} -5.6[/tex] where [tex]a_{1} =-2.7[/tex]

Step-by-step explanation:

This is an arithmetic sequence with the first term is [tex]a_{1}[/tex] = -2.7 and has a common difference of [tex]d=-5.6[/tex].

Arithmetic Sequence: [tex]a_{n} =a_{n-1} +d[/tex]

[tex]a_{n}[/tex] is the nth term and [tex]d[/tex] is the common difference.

The common difference: -2.7, -8.3, -13.9...

Subtract: -2.7- (-8.3) = -5.6, -13.9 - (-8.3) = -5.6

Common difference: [tex]d = -5.6[/tex]

Recursive rule: [tex]a_{n} = a_{n-1} -5.6[/tex]

SOMEONE PLEASE HELP ME I DONT KNOW HOW TO DO THIS TYPE OF PROBLEM

Answers

Answer:

Step-by-step explanation:

Because angles SQR and RQT are central angles, they are congruent to the arcs they intercept. This means that arc SR = 101 and arc RT = 118, making the whole major arc SRT = 219. That means that the minor arc, ST is 360 - 219 which is 141. We are looking in particular for the measure of angle SRT. It just so happens that angle SRT is an inscribed angle, so by definition it is one-half the measure of the arc it intercepts. It intercepts arc ST which we found measures 141, so angle SRT is 141/2 = 70.5

How much money does an employee
working for a salary of $48,000 per
year get paid each month?
A. $48,000 per month
B. $1,846 per month
C. $923 per month
D. $4,000 per month

Answers

Answer:

D. 4000 per month

Step-by-step explanation:

If they make 48000 per year, to find how mmuch s/he makes in a month, we have to divide it by 12 because there are 12 months in a year.

$48,000/12= $4000 per month

GJ is a midsegment of △HIK. If HI=s–59 and GJ=s–65, what is the value of s?

Answers

Answer:

s = 71

Step-by-step explanation:

Given that GJ is a midsegment of the triangle then it is half the length of the third side, that is

GJ = [tex]\frac{1}{2}[/tex] HI , so

s - 65 = [tex]\frac{1}{2}[/tex] (s - 59) ← multiply both sides by 2 to clear the fraction

2s - 130 = s - 59 ( subtract s from both sides )

s - 130 = - 59 ( add 130 to both sides )

s = 71

Question and choices are in the photo please explain the answer

Answers

Answer:

336

Step-by-step explanation:

The exclamation mark in math represents the factorial operation, which means you multiply the number by decreasing positive integers.

Therefore:

5! = 5 x 4 x 3 x 2 x 1 = 120.

8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40320

8!/5! = 40320/120

40320/120 = 336

Solve for X enter your answer in the box

Answers

Answer:

x = 6

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

GIVEN :-

AD ║ BCAE = 16 unitsAB = 5x + 2 unitsDE = 12 unitsDC = 24 units

TO FIND :-

Value of x

GENERAL CONCEPT TO BE USED IN THIS QUESTION :-

Basic Proportionality Theorem -

If a line drawn parallel to one side of a triangle and intersects the other two sides at distinct points , it divides the other two sides in equal proportion.

SOLUTION :-

AD is the line drawn parallel to BC and intersects EB & EC at A & D respectively. By using Basic Proportionality Theorem , it can be stated that -

[tex]\frac{AE}{AB} = \frac{DE}{DC}[/tex]

[tex]=> \frac{16}{5x + 2} = \frac{12}{24}[/tex]

[tex]=> \frac{16}{5x + 2} = \frac{1}{2}[/tex]

[tex]=> 5x + 2 = 16 \times 2 = 32[/tex]

[tex]=> 5x = 32 - 2 = 30[/tex]

[tex]=> x = \frac{30}{5} = 6[/tex]

What is the area of this cube 6 4 5

Answers

120

6 times 4 times 5 = 120

Hope this helps

Can someone really help
Me !

Answers

y=11. you do what’s in the parentheses first then multiply it by three. so take 45 divided by three and you get 15 and solve for Y

Question 19:
1 point
In the diagram below of circle O, chords JT and ER intersect at M.
E
М.
M
ºo
R
If EM = 8 and RM = 15, the lengths of JM and TM could be
(1) 12 and 9.5
(3) 16 and 7.5
(2) 14 and 8.5
(4) 18 and 6.5

Answers

Applying the intersecting chords theorem, the possible lengths of JM and TM could be: 16 and 7.5.

What is the Intersecting Chords Theorem?

The intersecting chords theorem states that product of the divided segments of each intersectint chords are equal to each other.

Based on the intersecting chords theorem, we would have:

(EM)(RM) = (JM)(TM)

If JM and TM are 16 and 7.5 respectively, we would have:

(8)(15) = (16)(7.5)

120 = 120

The lengths of JM and TM could therefore be: 16 and 7.5.

Learn more about the intersecting chords theorem on:

https://brainly.com/question/13950364

#SPJ2

Answer:

16 and 7.5

Step-by-step explanation:

The time , in hours , it takes to repair an electrical breakdown in a certain factory is represent by a random variable x where repair time follow a normal distribution with mean 5 hour and standard deviation 1 hour , if 5 electrical breakdown ore randomly chosen , Find the probability that ( a all repaired time below 6 hours ( b ) exactly 3 of them repaired below 6 hours

Answers

Answer:

a) 0.4215 = 42.15% probability that all are repaired in less than 6 hours.

b) 0.15 = 15% probability that exactly 3 of them repaired in a time below 6 hours

Step-by-step explanation:

To solve this question, we need to understand the normal and the binomial probability distributions.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Proportion repaired below 6 hours:

Mean 5 hours and standard deviation 1 hour, which means that [tex]\mu = 5, \sigma = 1[/tex]

This proportion is the p-value of Z when X = 6. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{6 - 5}{1}[/tex]

[tex]Z = 1[/tex]

[tex]Z = 1[/tex] has a p-value of 0.8413.

0.8413 repaired below 6 hours.

For the binomial distribution, this means that [tex]p = 0.8413[/tex]

5 are chosen:

This means that [tex]n = 5[/tex]

a) Probability that all are repaired in less than 6 hours

This is P(X = 5). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{5,5}.(0.8413)^{5}.(0.1587)^{0} = 0.4215[/tex]

0.4215 = 42.15% probability that all are repaired in less than 6 hours.

b) Probability that exactly 3 of them repaired below 6 hours

This is P(X = 3). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{5,3}.(0.8413)^{3}.(0.1587)^{2} = 0.15[/tex]

0.15 = 15% probability that exactly 3 of them repaired in a time below 6 hours

GELPPPPPP
(1) Distributive property
(2) Associative property
(3) Addition property of equality
(4) Division property of equality

Answers

Distributive property

Harry just transferred $6 out of his bank account. As a result, the account now has $488 left in it. How much money was in the account before the transfer?

Answers

Answer:

$494

Step-by-step explanation:

Given data

Amount transfer= $6

Balance after transfer= $488

Let the total amount in the account before the transfer be x

Hence

x-6= 488

x= 488+6

x=$494

Hence the amount in the account before the transfer is $494

simplify
3a + 2b - 8a + b

Answers

Answer:

-5a+3b

Step-by-step explanation:

just adding and subtracting like terms

Answer:

3b-5a

Step-by-step explanation:

hope this helps:)

What is the complete factorization of x2 + 4x − 45?

Answers

Answer:

(x-5) (x+9)

Step-by-step explanation:

what multiplies to -45 but adds to positive 4?  -5 and 9. that's how you get (x-5) (x+9)

PLEASE HELP I'LL GIVE BRAINLIEST

Answers

Answer:

841.8

Step-by-step explanation:

PLEASE HELPP
use the spinner to find the odds in favor of stopping on a multiple of 6

Answers

1 and 9 are the awnser

I will mark you brainliest if you solve this
show your working as well
4) (4x2– x – 7) + (2x3+ 6x2– 11)
5)(2x3– x + 4) + (5x2– 6x – 5)
6)(3x2+ 2x + 1) – (x2– 3x + 4)
7)(2x2– 3x + 7) – (5x2+ 3x + 6)

Answers

Answer:

4) 2x3 + 10x2−x−18

5) 2x3+5x2−7x−1

6) 2x2+5x−3

7) −3x2−6x+1

Step-by-step explanation:

4) (4x2 - x - 7) + (2x3+ 6x2– 11)

Combine Like Terms:

=4x2+−x+−7+2x3+6x2+−11

=(2x3)+(4x2+6x2)+(−x)+(−7+−11)

=2x3+10x2+−x+−18

5) (2x3– x + 4) + (5x2– 6x – 5)

Combine Like Terms:

=2x3+−x+4+5x2+−6x+−5

=(2x3)+(5x2)+(−x+−6x)+(4+−5)

=2x3+5x2+−7x+−1

6) (3x2+ 2x + 1) – (x2– 3x + 4)

Distribute the Negative Sign:

=3x2+2x+1+−1(x2−3x+4)

=3x2+2x+1+−1x2+−1(−3x)+(−1)(4)

=3x2+2x+1+−x2+3x+−4

Combine Like Terms:

=3x2+2x+1+−x2+3x+−4

=(3x2+−x2)+(2x+3x)+(1+−4)

=2x2+5x+−3

7)(2x2– 3x + 7) – (5x2+ 3x + 6)

Combine Like Terms:

= (2x2 −5x2 )+(−3x−3x)+(7−6)

Robert has 3.38 pounds of cat food he uses 0.26 of cat food to feed one cat how many cats can Robert feed with the cat food he has

Answers

Answer:

Robert can feed 13 cats.

Step-by-step explanation:

To solve this we simply divide.

3.38 divided by 0.26 = 13

Therefore Robert can feed 13 cats.

HELP NOWhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

r = 1/5

Step-by-step explanation:

Substitute x=15 and y=3 into the equation given.

Transpose so that r = 3/15

Simply 3/15

r = 1/5

Answer:

4.4/22 = .2

r=.2

Step-by-step explanation:

Cho tập số tự nhiên từ 1 đến 20, lấy ngẫu nhiên ba số. Xác suất để ba số lấy được lập thành cấp số cộng là

Answers

I know right? Hope you have

which word describes the slope of the line?
a) positive
b) negative
c) zero
d) undefined

Answers

B) negative. Is the answer

Answer: To me it (Zero) or (Undefined)

Determine the value for x in the picture below.

Answers

Answer:

x=9

Step-by-step explanation:

Similar triangles

8/20 = 6/(x+6)

==> 2/5 = 6/(x+6)

2/5x+12/5=6

2/5x=18/5

x=9

Answer is x = 6
I hope that helps
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