What is the fourth term of the geometric sequence whose first term is 7 and has a common ratio of -2

Answers

Answer 1

Answer:

  -56

Step-by-step explanation:

It is often easiest to find terms of a sequence by simply writing each one based on the previous one. Here, the common ratio of -2 tells you that each term is -2 times the previous term.

The first four terms are ...

  7, -14, 28, -56

The fourth term is -56.


Related Questions

what the answer to 24/3/7/5=

Answers

Answer:24/3/7/5 = 8/ 35 ≅ 0.2285714

Step-by-step explanation:

Divide: 24/3: 7 = 24/3· 1/7

= 24 · 1/3 · 7

= 24/21

= 3 · 8/3 · 7= 8/7

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 7/1 is 1/7) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 3 gives 8/

7

.

In other words - twenty-four thirds divided by seven = eight sevenths.

Divide: the result of step No. 1 : 5 = 8/7 : 5 = 8/7 · 1/5

= 8 · 1/7 · 5

= 8/35

Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 5/1

is 1/5

) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - eight-sevenths divided by five = eight thirty-fifths.

x= degrees 32° x x

Answers

Answer:

32 +x+x=180(Sum of angles of a triangle)

32+2x=180

2x=180-32

2x=148

x=148/2

Therefore,X=74

Answer:

the answer for x is 74°

Step-by-step explanation:

[tex]32 + x + x = 180 \\ 2x + 32 = 180 \\ 2x = 180 - 32 \\ 2x = 148 \\ x = 74 \: degrees[/tex]

Michael has $1,059.35 in his checking account. He is going to spend $466.43 on a new television, and he will spend the rest on speakers that cost $43.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael can buy without spending more money than he has in his account?
A.
$466.43 < $43.00x + $1,059.35
B.
$1,059.35 < $43.00x + $1,059.35
C.
$466.43 + $43.00 + x < $1,059.35
D.
$43.00x + $466.43 < $1,059.35

Answers

Answer:

D. $43.00x + $466.43 < $1,059.35

Step-by-step explanation:

He has $1,059.35.

The amount of speakers he buys is x.

Each speaker is $43.00, and he is buying one television, which is $466.43.

All of the speakers he buys and(+) the television must be less than $1,059.35 because that's all he has. It cannot be more, which is why the equation is $43.00x + $466.43 < $1,059.35.

Hope this helps!

Answer:

D

Step-by-step explanation:

its $43 each and he wants to buy more than one so that means thats x

that marks out C

so 43.00x +466.43 is less than 1,059.35

I really feel like one of them should have less than/greater than or equal to sign but without I think its D

a triangular sail with a height of 6 feet has a base that is 9 feet long what is the area of the sail

Answers

Answer:

54 I think

Step-by-step explanation:

you multiply the width times the length and that’s the area


hope this helps!

answer is 54 :)))))))

i need help 9y grade math

Answers

Answer:

17x+7

Step-by-step explanation:

(10x+3)-(-7x-4)

(f-g)(x)f(x)-g(x)10x+3-(-7x-4)10x+3+7x+417x+7

Done!

WILL GIVE BRAINLIEST, THANKS, AND 5 STARS!
PLEASE HELP AND EXPLAIN!

The Cosmic Pool company is building a pool in Mary’s back yard. The pool is to be 8ft longer than it is wide and cover 240 square feet of the back yard. Determine both dimensions of the pool and the perimeter.
Group of answer choices

(A) Dimensions: width = 20ft & length = 12ft
Perimeter: 32ft

(B) Dimensions: width = 20ft & length = 12ft
Perimeter: 64ft

(C) Dimensions: width = 12ft & length = 20ft
Perimeter: 32ft

(D) Dimensions: width = 12ft & length = 20ft
Perimeter: 64ft

Answers

Answer:

(D) Dimensions: width = 12ft & length = 20ft / Perimeter: 64ft

Step-by-step explanation:

Let the length be x and width be y.

We have:

x = y + 8Area = 240 ft²

Set equation and solve

xy = 240y(y + 8) = 240y² + 8y = 240y² + 8y + 16 = 256(y + 4)² = 16²y + 4 = 16y = 12 ft

The length is:

x = 12 + 8 = 20 ft

The perimeter is:

P = 2(x + y) = 2(20 + 12) = 2(32) = 64 ft

Correct choice is D

Let they be l and b

l=b+8l-b=8--(1)

And

lb=240

So

(l+b)^2=(l-b)^2+4b=(8)^2+4(240)=64+960=1024l+b=32--(2)

From both equations

2l=40l=20

And.

b=20-8=12ft

Option D

help me please
find value of x and y​

Answers

Answer:

Below in bold.

Step-by-step explanation:

The triangle ABC is a right triangle as BCD is a tangent.

So m < y = 90 - 30 = 60 degrees

The angle at the centre O = 2*30 = 60 degrees  (angle subtended at centre theorem)
m < x =  180 - 90 - 60 = 30 degrees

Step-by-step explanation:

y = 60

x= 30

these are the answer s

How to do the sum
25 cm 25 mm = --------------------m

pls give the ans with explanation

Answers

Answer:

Step-by-step explanation:

100 cm = 1 m

25 cm =  25 ÷ 100 = 0.25 m

1000mm = 1m

25 mm  = 25 ÷ 1000 = 0.025

0.250   +

0.025

0.275

25 cm 25 mm = 0.275 m

M= 100cm M=1000mm

25cm = .25m 25mm = .025m

.275m

El maestro de matemáticas mostró una figura cuya área está representada por la siguiente expresión x² - 5x 6 = 0. ¿Cuánto miden los lados de la figura?

Answers

Answer:

x≈5

Step-by-step explanation:

x^2-5x6=0

x^2-30=0

x^2-30+30=30+0

x^2=30

x≈5

There were 27 children in a class.
There were twice as many boys as girls.
How many boys were there?

Answers

Answer:

18

Step-by-step explanation:

no. of boys=2x

no.of girls=x

total no. of pupils=2x+x

27=3x

27/3=x

x=no.of girls=9

no.of boys =2x=2*9=18

Answer: 18 Boys

Step-by-step explanation: make first 27 divided by 3 equals 9 and then 9 times 2 equal 18 . We multiply by 2 to make it twice


Multiply the binomials:
(3x+4)(5x-2)

Answers

Answer:

15x^2 + 14x - 8.

Step-by-step explanation:

(3x + 4)(5x - 2)

= 3x(5x - 2) + 4(5x - 2)

= 3x*5x + 3x*-2 + 4*5x + 4*-2

= 15x^2 - 6x + 20x - 8

= 15x^2 + 14x - 8.

The Marked price of an article is rupees 5000 .This price is 25% above the cost price. If the article is sold by allowing 10% discount .Find the profit percent.
Note: Please show the process and explain as well.​

Answers

Answer: 13%

Step-by-step explanation:

Step 1:

5000

10% of 5000=500

5% of 5000=250

25%=500+500+250= 1250 rupees

so...

5000-1250= 3750 INR, which is the original price, BEFORE THE 25% WAS ADDED

but..

They only want a 10% discount of the price which is 25% above the cost (5000). So essentially we want to find  15%, because 25%-10%=15%

so if...

10%=500

5%=250

15%=750 INR

this means the price with the 10% discount off 25%= 4250 INR (5000-750)

now we need to find the percentage change. For this we need to subtract the price with the 15% discount with the price BEFORE THE 25% was added

e.g 4250-3750= 500INR

Then.. divide this price with the original price before the 25% was added

e.g 500/3750= 2/15=0.13

So...

Convert 0.13 into a percentage=13%

The PERCENTAGE PROFIT of the owner is 13%

P.S Please could someone double check this answer as I am only 15 years old and may have gotten some working out wrong! Thank you

helpppppp meeeee pleaseeeeeeeee thanksssssss :)))))))​

Answers

Answer:

815.76 is your answer

Step-by-step explanation:

Please answer everything that at asks in the image above. this is very important and I need help.​

Answers

Answer:

Step-by-step explanation:

Help pls need done now :)

Answers

[tex]\bold{ANSWER:}[/tex]
g(x) = x^2 + 6

[tex]\bold{EXPLANATIONS:}[/tex]

Answer:

g(x) = x^2 + 6

Step-by-step explanation:

We are trying to find what is g(x) from the graph. f(x) = x^2 translated to g(x).

g(x) = (x - h)^2 +k

It appears the graph is just translated up by k = 6 and no transition of left/right h = 0.

g(x) = (x-0)^2 + 6

g(x) = x^2 + 6

In the given figure ABC is a triangle in which angle BAC is equal to 30 degree show that BC = the radius of the circumcircle of triangle ABC whose Centre is O. ​

Answers

See the figure attached..

Step-by-step explanation:

First, Join OB and OC.

∠BOC = 2∠BAC

(∵ angle subtended by an arc at the centre = double the angle subtended by it at any point on the remaining part of the circle)

=> ∠BOC = 2 x 30°...(∵ ∠BAC = 30°, Given)

=> ∠BOC = 60°

In, ΔOBC, OB = OC...(radii of same circle)

∴ ∠OCB = ∠OBC...(∠s opp. equal sides of a triangle are equal)

As the sum of angles of a traingle is 180°,

∠OBC + ∠OCB + ∠BOC = 180°

∠OBC + ∠OBC + 60° = 180°...(∵∠BOC = 60°,proved above)

2∠OBC = 120° => ∠OBC = 60°

Thus, we have ΔABC such that,

∠BOC = ∠OBC = ∠OCB = 60°

ΔOBC is an equilateral triangle

BC = OB i.e. BC is equal to the radius of circle.

Hence proved...

Hope it helps you!!


Use the formula for,P, to solve the following question.
For a segment of a radio show, a disc jockey can play 7 records. If there are 10 records to select from, in how many ways can the program for this segment be arranged?
ways

Answers

Answer:

604800 different ways to order the program

Step-by-step explanation:

using the formula for permutation, not combination because the order of the records matter

n!/(n-r)!

n is the total number of choices (10)

r is the number that is chosen from the total number (7)

An investor buys 400 shares of stock in a fund when the net asset value is $19.62 and the offer price is $19.84. the investor sells these shares when the net asset value is $43.19 and the offer price is $43.56. determine the amount of profit the investor earns. a. $9,576 b. $9,488 c. $9,428 d. $9,340 please select the best answer from the choices provided a b c d

Answers

The amount of profit the investor earns is 9340 dollars. Then the correct option is D.

What is Algebra?

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

An investor buys 400 shares of stock in a fund when the net asset value is $19.62 and the offer price is $19.84.

The investor sells these shares when the net asset value is $43.19 and the offer price is $43.56.

Then total cost price of the shares will be

→ 19.84 × 400 = $7936

The total selling price of the shares will be

→ 43.19 × 400 = $17,276

Then the profit is the difference between the total cost price of shares and the total selling price of the shares.

→ 17276 - 7936 = $ 9340

More about the Algebra link is given below.

https://brainly.com/question/953809

50 POINTS!
3. Find the values of the 30th and 90th percentiles of the data. 129, 113, 200, 100, 105, 132, 100, 176, 146, 152 *
1 point
30th percentile = 105 90th percentile = 200
30th percentile = 113 90th percentile = 200
30th percentile = 105 90th percentile = 176

Answers

Answer:

30th percentile = 105 90th percentile = 176

Step-by-step explanation:

Arrange the data set in order from smallest to largest:

100, 100, 105, 113, 129, 132, 146, 152, 176, 200

30th percentile

r = number of data values = 10

q = percentile = 30

q/100 = 30/100 = 0.3

q/100 × r = 0.3 × 10 = 3

Therefore, count the 3rd number in the ordered set.

⇒ 30th percentile = 105

90th percentile

r = number of data values = 10

q = percentile = 90

q/100 = 90/100 = 0.9

q/100 × r = 0.9 × 10 = 9

Therefore, count the 9th number in the ordered set.

⇒ 90th percentile = 176

30th percentile = 105, 90th percentile = 176

Explanation:

data {129, 113, 200, 100, 105, 132, 100, 176, 146, 152}

arrange in ascending order:

{100, 100, 105, 113, 129, 132, 146, 152, 176, 200}

30th percentile: 105

90 th percentile: 176


Pierre throws a snowball up in the
air. The height of the snowball in
feet, h(x), can be represented by
h(x) = -0.5x2 + 6x + 4, where x is
the horizontal distance the snowball
travels in feet. Pierre wants to
know how far the snowball has
traveled when the height is 20
feet.

Answers

Using the given function, it is found that the snowball traveled 4 feet when the height is 20 feet.

What is the function for the ball's height?

The height when x feet are traveled is given by:

h(x) = -0.5x² + 6x + 4.

When the height is of 20 meters, we have that h(x) = 20, hence:

20 = -0.5x² + 6x + 4.

0.5x² - 6x + 16 = 0

x² - 12x + 32 = 0

(x - 8)(x - 4) = 0

For the first time: x - 4 = 0 -> x = 4.

The snowball traveled 4 feet when the height is 20 feet.

More can be learned about functions at https://brainly.com/question/25537936

If fixed costs to print a certain Bible are $15,000 and
variable costs are $25 per Bible, what must be the selling
price to earn $10 per Bible if 5,000 Bibles are printed?

Answers

Answer:
$35 per bible

Explanation
15,000+25x=?
15,000+25(5,000)=?
15,000+125,000=?
140,000 - minimum price
10•5,000=?
50,000 - the additional cost for profit
125,000+50,000=?
175,000 - the price for production as a whole
175,000/5,000=?
$35 per bible
Or instead of all this work just add the $10 for profit to the $25 for production

The selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.

What is target profit?

The target profit is the profit that is expected by a manufacturer from the sale of its product.

The target profit can be established and used to determine the selling price.

When the target profit is added to the fixed cost per unit and the variable cost per unit, the resultant figure is the selling price.

Data and Calculations:

Fixed costs per print = $15,000

Number of Bibles per print = 5,000

Fixed costs per Bible = $3 ($15,000/5,000)

Variable costs per Bible = $25

Expected profit per Bible = $10

The selling price = $38

Thus, the selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.

Learn more about determining the selling price at https://brainly.com/question/1153322

Which method would be the best to solve the following system of equations?
{5z + 3y = -7
{-2x - 3y = 19

Answers

Answer:

substitution or elimination

Wyatt walks
3
miles each day for
6
days.
Aaliyah walks
4
1
2
miles each day for
6
days.
How many more miles will Aaliyah walk in
6
days than Wyatt?

Answers

Aaliya walks 9 miles farther than Wyatt in 6 days.

Step-by-step explanation:
The distances walked are as follows:
Wyatt: (3 mi/day)(6 days) = 18 mi
Aaliyah: (4.5 mi/day)(6 days) = 27 miles Aaliya walks 9 miles farther than Wyatt in 6 days.

Find the measure of angle A.
(BRAINLIEST :D)

Answers

Answer:

180 - 90 - 60

Step-by-step explanation:

all internal angles of a triangle add up to 180. this means A must be equal to 180 - 90 - 60 = 30

Answer:

30

Step-by-step explanation:

A triangle always = 180 degrees :)

So first we can add :D

60 + 90 + a = 180

150 + a = 180

Now we subtract :)

180 - 150 = 30

The answer is 30!

Have an amazing day!!

Please rate and mark brainliest!!

Ex. 3 A printing press prints 120 sheets in 3 min . ( 1) Express the printing as a rate. ( 2) How many sheets are printed in 1 h? (3) How long will it take to print 1000 sheets?

Answers

Answer:

a 40 sheets/min

b 2400 sheets

c25mins

Step-by-step explanation:

a

120/3=40 sheets /min

b

40*60=2400

c

1000/40=25

Answer:

1) 40 sheets/minute 2) 2400 3) 25 minutes

Step-by-step explanation:

If B is the midpoint of AC, and AC=8x-20,find BC

Answers

Answer:

BC = 0.5 * AC

Step-by-step explanation:

Since B is the midpoint



There are 126 students in theater at a school. On a certain day, 94 of the students in choir went on a field trip. What percent of student stayed at school instead of going on the field trip? Round to the nearest whole percent.

Answers

Answer:

Step-by-step explanation:

First find the number of students who stayed home.

# students who stayed home = Total number - the choir members.

Total number = 126

Choir members = 94

Stay at homes = 126 - 94 = 32

Formula

Stay at home % = (32 / 126) * 100

Stay at home %= 0.25397 * 100

Stay at home % = 25.397

To the nearest whole %, the answer is 25

Answer:

126/94 = 1.34

1% of the students stayed at school

Step-by-step explanation:

The number of visitors to a website in the first week is 40. The number of visitors each week is double the number of visitors the previous week. What is the total number of visitors to the website in the first 8 weeks? Show your work.

Answers

For example, in the second week is
40 x 2 = 80.
In the third week, 40 x 2^2 = 160
So, In the eight week it is 40 x 2^7 = 5120.

help 8 th grade math

Answers

Answer:

6 is A

Step-by-step explanation:

-5 x -4 = 20

-5 x 7x = -35x

Need Help!
Sarah's bill for a meal at a Sonic is $8.99 before tax. If the tax rate is 6.2%, what is the total cost of her meal?

$9.06

$9.55

$9.60

$9.61

Answers

Answer: $9.55.

Step-by-step explanation: So far, Sarah's meal is $8.99 and her tax rate is 6.2%.  So 6.2% of $8.99 is 0.55738.  We have to add 0.55738 with 8.99 to find the total cost of her meal:

8.99 + 0.55738 = 9.54738, or $9.55.

Therefore, Sarah's bill has a total of $9.55 with the tax.

Hope this helps! :)

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