Evaluate each geometric
series described
3 + 6 +12 + 24 n=7

Answers

Answer 1
Process:

1. 21+24n= 7
2. 24n= 7 - 21
3. 24n= -14

Answ: n= -7/12

Related Questions

A 25 lb. bag Balkfoods Small Red Beans cost $52.92. What is the unit price
per Ib?

Answers

Answer:

$2.1 per pound

Step-by-step explanation:

price/pounds

52.92 / 25 = 2.1

h(t)= -20 + 11t
h(11) =

Answers

Answer:

h(11) = -20 + 11(11)

h(11) = -20 + 121

h(11) = 101

Step-by-step explanation:

replace t by 11

do multiplication

add them together

Answer:

h(t) =−20+11t  h(11)= 101

Step-by-step explanation:

Consider this quadratic equation
X^2+2x+7=21

Answers

Answer:

x = sqrt(15) - 1 or x = -1 - sqrt(15)

Step-by-step explanation:

Solve for x:

x^2 + 2 x + 7 = 21

Subtract 7 from both sides:

x^2 + 2 x = 14

Add 1 to both sides:

x^2 + 2 x + 1 = 15

Write the left hand side as a square:

(x + 1)^2 = 15

Take the square root of both sides:

x + 1 = sqrt(15) or x + 1 = -sqrt(15)

Subtract 1 from both sides:

x = sqrt(15) - 1 or x + 1 = -sqrt(15)

Subtract 1 from both sides:

Answer: x = sqrt(15) - 1 or x = -1 - sqrt(15)

Find the sum of the first 70 terms of the sequence -6, -3,0,3,6,​

Answers

Answer:

The sum of the first 70 terms of the sequence [tex]-6, -3,0,3,6, ...[/tex] is 6825.

Step-by-step explanation:

A sequence is a set of numbers that are in order.

In an Arithmetic Sequence the difference between one term and the next is a constant.

[tex]-6, -3,0,3,6, ...[/tex] This sequence has a difference of 3 between each number.

The sum of an arithmetic series is found by multiplying the number of terms times the average of the first and last terms.

                                          [tex]S_n=\frac{n}{2}(2a_1+(n-1)d)[/tex]

where [tex]n[/tex] = the number of terms, [tex]a_1[/tex] = the first term, and [tex]d[/tex] = the common difference.

For our arithmetic sequence, the values of a, d and n are:

[tex]a_1 =-6[/tex][tex]d=3[/tex][tex]n = 70[/tex]

So:

[tex]S_{70}=\frac{70}{2}(2(-6)+(70-1)3)\\\\S_{70}=35\left(3\left(70-1\right)-2\cdot \:6\right)=35\left(207-12\right)=35\cdot \:195)=6825[/tex]

The area of a circle is 286 cm2. Use the π button on your calculator for π in your calculations.
8a
If its radius is r cm, find r, correct to 2 decimal places.
Be careful not to round your answer until the very end.

Answers

Answer:

9.54 cm

Explanation:

area = πr^2

286 cm^2= πr^2

=>πr^2= 286 cm^2

=>r^2= 286÷π

=>r= √286÷π

: 9.54. m

circumference=2πr

=> circumference=2×π×9.54

=60 cm

Factor the expression. d2 + 12d+ 36

Answers

Answer:

the factored expression is

(d+6)(d+6) or (d+6)^2

Step-by-step explanation:

Fernanda is filling a cylindrical pot with cans of vegetable soup. The pot has a diameter of 15 in. and a height of 10 in. The soup can has a diameter of 4 in. and a height of 5 in. How many cans of soup will it take to fill up the pot?

Answers

Answer:

28.125 cans

Step-by-step explanation:

Step 1: Determine the Volume of the Pot

Diameter= 15 inches, therefore Radius=15/2=7.5 Inches

Height =10 Inch

Volume of a cylinder =[tex]\pi r^2h[/tex]

Volume of the Pot [tex]=\pi*7.5^2*10=562.5\pi[/tex] cubic inches.

Step 2: Determine the Volume of each can

Diameter= 4 inch, therefore Radius=4/2=2 Inches

Height =5 In.

Volume of a cylinder =[tex]\pi r^2h[/tex]

Volume of one can [tex]=\pi*2^2*5=20\pi[/tex] cubic inches.

Step 3: Divide the Volume of the Pot by the Volume of the can

To obtain the number of cans that will fill the pot, we divide the Volume of the Pot by the Volume of the can.

Volume of the Pot÷Volume of one can

[tex]=562.5\pi \div 20\pi\\=28.125 \:cans[/tex]

Therefore, we conclude that it takes 28.125 cans to fill up the cylindrical pot of soup.

Write the following number in standard decimal form.
six thousand five hundred thirty-four ten-thousandths

Answers

Answer: 6.534 x 10^(-1)

Step-by-step explanation:

Six thousand five hundred and thirty four ten thousandth

6534/10000

Convert to decimal

6534/10000=0.6534

Then convert to standard form

0.6534=6.534 x 10^(-1)

word problem of addition or subtraction

Answers

Answer:

subtraction

Step-by-step explanation:

In order to find out how many more flowers you need, you need to subtract both of the numbers to get the difference.

Answer:19

Step-by-step explanation:subtract 27 from 8.

Pete's checking account showed a balance at the beginning of the month of $180. After 3 days the checking account showed a balance of $160. Write a linear equations to represent the total in the checking account f(x) according to the day x.

Answers

Answer:

180 - 172 =$8 8/3=2.56

the driveway in front of the brown house is 35 feet long and the driveway of the red house is 7 yards and 9 feet long. which house has a long driveway? by how much

Answers

Answer:

The brown house has the longer driveway

Step-by-step explanation:

So we would need to convert both of these units of measurements to feet in order to compare them.

There are 3 feet in 1 yard

Converting yards to feet, wee need to multiply the number of yards by 3

7 yards = 21 feet

Since the red house has a driveway of 7 yards and 9 feet, we can rewrite this to 21 feet + 9 feet, which is equivalent to 30 feet

Now comparing the two driveways, the 35 ft-long brown driveway is 5 feet longer than the 30 ft-long red driveway.

The brown house has the longer driveway

True or False: The height is always twice the length of tue base edge of any triangular pyramid.

Answers

Answer:

true

Step-by-step explanation:

3n3n3p0mdo98rueu33

Audrey collected 4⁄5 pint of blueberries. Addison collected 12 times as many pints of blueberries as Audrey. How many pints of blueberries did Addison collect?

Answers

Answer:

48/5≈ 9 3/5

Step-by-step explanation:

12 is the same thing as 12/1

so your multiply fractions

4/5 times 12/1

numerator=top

denominator=bottom

so to multiply a fraction you multiply the numerator times the numerator

so in that case your multiplying 4 times 12

=48

to find the bottom half you multiply the denominator times the denominator

in that case is 5 times 1

=5

numerator/denominator

48/5

if you want to simplify it further simply divide 48/5

5 goes into 48 about 9 times

and were left with 3/5

so 9 and 3/5

pls mark me brainliest

Is a temperature of 0.67 degrees a positive number or a negative number.

Answers

Answer:

It is a positive number.

Step-by-step explanation:

Numbers that are above 0 are considered positive and numbers below 0 are considered negative.

~Anna

A 14-foot ladder is leaning against the side of a house.The angle the ladder makes with the ground is 50 degrees. How far is the base of the ladder from the house to the nearest tenth of a foot

Answers

Answer:

9 ft

Step-by-step explanation:

You can use cosine to solve this, which is adjacent over hypotenuse. The ladder forms a triangle with the house, and the side you need to solve for is adjacent to the angle. You can set up the equation:

cos(50)=x/14

Then you multiply 14 by cos(50) and get almost 9 ft (rounding to the nearest tenth of a foot).

five more than the quotient of y and 2 is -3

Answers

Answer:

y/2 + 5 = -3

y/2 = -8

y = -16

Step-by-step explanation:

The function Fx) = log5 xis increasing.

Answers

Answer:

Yes

Step-by-step explanation:

If F(x)= log base 5 of x, then yes, it is increasing.

Answer: True

Step-by-step explanation: Got it correct on a-p-e-x

Ann desires to grow tall sunflower plants. She wonders how the amount of water she provides the sunflowers will affect their growth. One spring Ann planted 25 sunflower plants, making sure each one had the same soil, amount of space, and exposure to sunlight. The first one received one ounce of water per day. The second one received 2 ounces of water per day, and so on.
To determine the ideal amount of water needed, she consistently watered her sunflowers this way and at the end of the summer recorded the height of each sunflower (in cm). Then she performed a regression analysis on the data.

She conducts a significance test to determine if there is convincing evidence of a positive linear relationship between the amount of water her sunflower plants received and how tall they grew. What is the correct test statistic and conclusion? Assume all conditions for inference are met.
(A)
t=2.68\textit{t}=2.68
t=2.68. There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(B)
t=2.68\textit{t}=2.68
t=2.68.There is not convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(C)
t=5.10\textit{t}=5.10
t=5.10. There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(D)
t=5.10\textit{t}=5.10
t=5.10.There is not convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.
(E)
t=5.875\textit{t}=5.875
t=5.875.There is convincing evidence of a positive linear relationship between the amount of water and height of a sunflower.

Answers

Answer: a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The appropriate test is a t-test for slope. The test statistic is t = 2.68 and the p-value is 0.005. Because the p-value, 0.005, is less than α=0.05 we have convincing evidence that there is a positive linear relationship between the amount of water received and how tall the sunflower plants grew.

Ten cards numbered from 1 to 10 inclusive are placed in a hat Irene takes a card out of the hat without looking what is the probability that she takes out:
A] the number 10
B] an odd number
C] a number greater than 4
D] a prime number
E] a number between 5 and 9?

Answers

A] 1/10
B] 5/10
C] 6/10
D] 4/10
E] 3/10

Tommy purchased a new vacuum for $1,150 at the Best Buy. He has a 15% coupon. How much will he save?

Answers

Answer:

$172.50

Step-by-step explanation:

1150 * 0.15 = 172.5

Answer:

the answer is 172.50

Step-by-step explanation:

So is the price for the the vacuum 1.150 and the coupon is 15% then u multiply them and get 172.50 which is your answer

Step-by-step explanation

1150 * 0.15 = 172.5

If it was helpful can u mark me brainliest pls!!!!!!!!!!!

I need help on this one

Answers

Answer:

the fourth answer is prime.

Step-by-step explanation:

in order to break down a 4 term polynomial, create groups of the polynomials. seperate each in 2 group. then, fine the greatest common fastor of each group that are in parenthesis.It was easy to break the first three. the last one however, was hard to break apart because in the second group, you cant find the greatest common factor between -x and 2. So the bottom one is prime

Which equation describes a line of symmetry for a square ABCD?

Answers

Answer:

y=x

Step-by-step explanation:

The equation of the line is line DB

From y=mx + c

From the graph y = 0 when x =0

This means y=x;

The graph cuts through the origin.

Meaning the y -intercept C=0

The fifth term of the sequence will be 11.
(-1,2,5,8,...)
True
False​

Answers

Answer:

True

Step-by-step explanation:

You are adding 3 each time:

Term 1: - 1

Term 2: -1 + 3 = 2

Term 3: 2 + 3 = 5

Term 4: 5 + 3 = 8

Term 5: 8 + 3 = 11

~

Answer:

True

Step-by-step explanation:

if you count 0,1,2,3,4,5,6... a(0) being the FIRST term the answer is A

if you count 1,2,3,4,5... a(1) being the first term (in  this case how do you call a(0) the zeroth term?)

given h(x)=-2x+5, find h(-6)

Answers

This question is easy! it's simply asking to plug in -6 instead of the variable x.

h(-6)=-2(-6)+5

       =12+5

       =17

17 is your final answer.

The Cortes’ have a monthly combined take-home pay of $3,750. The Cortes’ recorded the following housing expenses for the month of August: $878.65 for mortgage payment; $52.50 for insurance premium; $266.67 for real estate taxes; $94.52 for electricity; $45.03 for telephone service; and $42.65 for water. How much are their housing costs over or under the FHA guidelines?
1 point
$67.52 under
$67.52 over
$2,369.98 under
$2,369.98 over

Answers

Answer:

I can't say over or under because I don't know the FHA guidelines but they had $2369.98 left over after the housing costs ($1380.02)

Step-by-step explanation:

Expenses for August= 878.65 + 52.50 + 266.67 +  94.52 + 45.03 + 42.65

= $1380.02

Income-Expenses= 3750-1380.02= 2369.98

CAN SOMEONE PLEASE SOLVE THIS!!!!!!!!!!! NEED HELP!!!!!!!!!!!!!!!!!!!! PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

A and E are correct

Step-by-step explanation:

lines DE and FG are congruent and so is angle DQE and GQF

Which statement describes a cause of screwed data

Answers

a sample that excludes subjects that are not part of the population being measured.

Simon knows that 25% of the people at a movie theater are seeing a romantic comedy. How many people are at the movie theater if 55 people are seeing a romantic comedy?

Answers

Answer:

220

Step-by-step explanation:

Number of people in theater = x

25% * x = 55

x = 55 / 25% = 55 / 25 * 100 = 55 * 4 = 220

A computer company produced this graph to show how many computers it expects to sell based on
how much the company spends on Internet advertising. The company expects to sell 40 million
computers, spending $5 million on Internet advertising. Which set of units and scales are appropriate
for the two axes?
Horizontal axis: Number of Computers (in millions):
Vertical axis: Advertising Dollars (in millions)
Horizontal axis: Advertising Dollars (in millions):
Vertical axis: Number of Computers (in tens of
millions)
Horizontal axis: Advertising Dollars (in millions);
Vertical axis: Number of Computers (in millions)
1 2
3
4
5
6
Horizontal axis: Number of Computers (in millions):
Vertical axis: Advertising Dollars (in tens of millions)

Answers

Answer:

The first one

Horizontal axis: Number of computers (in millions):

Vertical axis: Advertising Dollars (in millions):

Step-by-step explanation:

Since we have given that

Number of computers expected to sell = 40  millions

Cost price of internet advertising = $5 million

According to the graph, we can see that

40 millions is the y-coordinate and $5 million is the x-coordinate.

so, Horizontal axis - y- axis is the "Number of computers".

Vertical axis - x- axis is the "Advertising cost "

The set of units and scales are appropriate for the two axes

Horizontal axis: Number of computers (in millions):

Vertical axis: Advertising Dollars (in millions):

What is Graph?

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Given:

Number of computers expected to sell = 40  millions

Cost price of internet advertising = $5 million

From to the graph, we can see that

40 millions is the y-coordinate and $5 million is the x-coordinate.

So, Horizontal axis - y- axis shows the "Number of computers".

and, Vertical axis - x- axis shows the "Advertising cost ".

Learn more about Graph here:

https://brainly.com/question/17267403

#SPJ2

a(b+c) =a.b+a.c, where a, b, and c are real numbers. Use the distributive property to simplify the expression 8(3+4)=24+ ?

Answers

Answer: 32

Step-by-step explanation:

All you have to do is is multiply 8 by the numbers in the parentheses. So you multiply 8 by 3, which equals 24. Then multiply 8 by 4, which is 32. Hope this helps! :)

Answer:

The answer is 32 and the next one is C, 24x+32.

Step-by-step explanation:

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