the first term of GP where second term is 2 and sum of infinity is8 it will be​

Answers

Answer 1

Answer:

a = 4

Step-by-step explanation: Given that

ar=2 where a is the first term and is the common ratio.

ar=2 ............1

Also give that a/1-r = 8 where a is the first term and r is the common ratio as well.

a/1-r = 8 ......... 2

From equation 1 make r the subject

ar=2

r= 2/a...........3

Put equation 3 into 2

a/1-2/a =8

a÷1-2/a

a = 8(1-2/a)

a= 8/1-16/a

a/1= 8a-16

a^2= 8a-16

Rewriting the above equation

a^2-8a+16=0

This will eventually be

a^2-8a+16=0

(a-4)^2= 0

a =4


Related Questions

bruh i can't and I need help​

Answers

I think the answer is d if it followed the sequence or should be -1 but that’s not an option so my best guess is d hope this helps

can someone help me pls

Answers

Answer:

27/36

Step-by-step explanation:

Count the white region (which is 36), and then count the shaded region (which is 27). And write the shaded  region on the upper part (numerator), and the white part on the lower portion (denominator).

can someone help me pls

Answers

3/7 is bigger than 1/4 common denominator: 28

What is a combination of operations on letters and numbers?
A: Expression
B: Term
C: Factor
D: Variable

Answers

Answer:

A. Expression

Step-by-step explanation:

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Plz help I am timed
What is the rule for this pattern?
7, 10, 5, 8, 3, 6, 1
A.start with 7 and add 3 repeatedly
B.start with 7 and subtract 5 repeatedly
C.start with 7 and alternate adding 3 and then
subtracting 5
D.start with 7 and alternate adding 5 and then
subtracting 3

Answers

Answer:

C

Step-by-step explanation:

Answer:

plus 3 minus 3

Step-by-step explanation:

if receiver travels 54 yards in 9 seconds whats the average speed

Answers

Answer:

Step-by-step explanation:

The average speed is 6 yards in 1 second!

GO CHEIFS!

Hope it helps

Answer:

6

Step-by-step explanation:

To find the average speed which is also the unit rate you simply need to divide the two numbers.

54 ÷ 9 = 6

So, 6 yards is your average speed.

Make me brainliest

Ise9urgyobrhrstbydfdsfwefwefsdfewfds

Answers

Yeah I think x=12y on this one correct me if I’m wrong

Please define the following terms:

mercantilism, import, export, enumerated article, legislature, indentured servant, Navigation Acts, Dominion of New England, English Bill of Rights.

Answers

Answer:

★ Mercantilism - loosely related policies developed by Britain so that the colonies could be used as a source of raw materials.

★ Import - when items are brought in from other countries.

★ Export - when items are sold from one country to another.

★ Enumerated Article - certain crops and items, such as sugar, tobacco, cotton, ginger, and some dyes, that could not be shipped, carried, conveyed, or transported under the Navigation Act of 1660.

★ Legislature - a group of people coming together to legitimize decisions.

★ Indentured Servant - colonists who received free passage to North America in exchange for working without pay for a certain number of years.

★ Navigation Acts - band of laws that restriced the use of foreign shipping for trade only between england and its colonies.

★ Dominion of New England - an english governing organization that united the New England colonies into a single administrative unit from 1686 to 1689.

★ English Bill Of Rights - act passed by parliament, that ensured the superiority of parliament over the monarchy.

Step-by-step explanation:

Hope you have a great day ;-)

A notebook costs $4.50 plus sales tax . After sales tax , the notebook is $4.86. What is the sales tax rate?

Answers

Answer:

8%

Step-by-step explanation:

0.36/4.50=0.08=8%

The answer to your question is 8%

Guysss I need y’all help . Can yalll please help meee ASAP !!!!

Answers

Answer: the answer is b

Step-by-step explanation:

Answer: B.63

Step-by-step explanation: OK so if angle VKQ is 153, then angle DKJ also has to be 153 because of vertical angles. Then we know that angle MKJ is 90, so angle DKM is angle DKJ. Minus 90. 153-90=63.

In a particular country railroad miles have been on the decline and the miles of roads in the highway system have been increasing. The function y=-1250.2x + 142,602 represents the railrond miles, while the function y=501.5x + 158,449 models the number of

highway miles. For each function, x is the number of years after 1995


b. Find the year in which it is estimated that the number of the country's railroad miles and the number of the country's highway miles were the same.

It is estimated that the number of railroad miles and the number of highway miles were the same during the year ___.(Round down to the nearest your)

Answers

Answer:

1986

Step-by-step explanation:

Function that represents railroad miles

[tex]y=-1250.2x + 142602[/tex]

Function that represents number of highway miles

[tex]y=501.5x + 158449[/tex]

We have to find in which year (1995+x) the miles of railroad and highway is the same so

[tex]-1250.2x + 142602=501.5x + 158449\\\Rightarrow -1250.2x-501.5x=158449-142606\\\Rightarrow -1751.7x=15843\\\Rightarrow x=-\dfrac{15843}{1751.7}\\\Rightarrow x=-9.044\ \text{years}\approx -9\ \text{years}[/tex]

So, the year is [tex]1995+x=1995+(-9)=1986[/tex]

In the year 1986 the railroad and highway miles were equal.

It is estimated that the number of railroad miles and the number of highway miles were the same during the year 1986.

Given

The function y =-1250.2x + 142,602 represents the railrond miles.

While the function y =501.5x + 158,449 models the number of highway miles.

For each function, x is the number of years after 1995.

The year in which it is estimated that the number of the country's railroad miles and the number of the country's highway miles were the same.

Therefore,

[tex]\rm -1250.2x + 142,602=501.5x + 158,449\\\\-1250.2x -501.5x = 158,449-142,602\\\\-1751.7x=15847\\\\x = \dfrac{15847}{-1751.7}\\\\x=-9[/tex]

Then,

1995 - 9 = 1986

It is estimated that the number of railroad miles and the number of highway miles were the same during the year 1986.

To know more about Equation click the link given below.

https://brainly.com/question/20010866

Samantha has 146 ft of yarn. She wants to cut the yarn into equal pieces to give her 18 students. How much yarn will she give each student?

Answers

Answer:

8 ft of yarn

Step-by-step explanation:

146/18= 8.111

Round that number down to 8 to make all students get equal amounts of yarn

Answer:

8.11 ft

Step-by-step explanation:

146 ft divided into 18 prices

146 ÷ 18 = 8.11 ft for each student.

An angle turns through 75/360 of a circle. what is the measure of the angle?

Answers

Answer:

It is an acute angle....

The required measure of the angle through 75/360 of the circle is 75°.

What are the angle?

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant.

Since 75/360 of the circle represents the rotational factor as it describes is 75 part of 360 and 75 in the expressions is the angle measure.

Thus, the required measure of the angle through 75/360 of the circle is 75°.

Learn more about Angles here:

https://brainly.com/question/13954458

#SPJ2

pls answer this yall
2a-1+8b-12b+7a-12

Answers

2a+7a+8b-12b-12-1 9a-4b-13

Combine like terms: 3 + 2 + 7t - 4t *

Answers

The answer is : 5+3t

a number plus the sum of the number
and seven.

Answers

Answer:

x+(x+7)

Step-by-step explanation:

sum=add all together

What are the different ways to write multiplication in math

Answers

Answer:

Different ways to write multiplication include:

3 times 5

3x5

(3)(5)

3(5)

(3)5

etc

Step-by-step explanation:

I hope this helps!

Answer: 3 x 5, 3 · 5, 3 * 5 , (3) (5), 3 (5), and (3) 5. Hope this helps.

Step-by-step explanation:


Maxwell buys a bag of dog food that contains 18 cups of food, Maxwell feeds his dog 1 cups each day. Maxwell says he will be able to feed his dog for 27 days.
correct?

Answers

Answer:

No. He will not have enough dog food for 27 days.

Step-by-step explanation:

If he only has 18 cups and he feeds one cup to his dog everyday. He will not have enough for 27 days. he will only have enough for 18.

Show work

Bonita and Vince are jogging to school 2.5 miles west of

Vinces' house. It takes

them 15 minutes to arrive. As soon as they got there Boneta needed to run east

5 miles to the discount store for personal supplies. This took her 5 minutes. She

then slowly walks back to school, which takes her another 10 minutes

What is the average velocity in miles/min for Bonita for the entire trip?

Show how you convert this to mis? Show your setup and answer.

What is her average speed in miles/min?

- Show how you convert the average speed to mis. Show your set up and answer.

Answers

Answer:

V_avg = 0.5556 miles/min

V_avg = 0.00926 miles/sec

Step-by-step explanation:

Bonita jogs 2.5 miles west of Vinces' house to school. It took her 15 minutes to arrive.

Speed 1; distance/time = V1 = 2.5/15 = 1/6 miles/min

Furthermore she ran 5 miles to the discount store for personal supplies. This took her 5 minutes.

Thus;

Speed 2; V2 = 5/5 = 1 mile/min

She then slowly walks back to school, which takes her another 10 minutes. Distance from the discount stor to school is 5 miles as stated in speed 2.

Thus;

Speed 3: V3 = 5/10 = ½ mile/min

Her average speed is;

V_avg = (V1 + V2 + V3)/3

V_avg = (1/6 + 1 + ½)/3

V_avg = 10/18 = 0.5556 miles/min

Converting to miles/seconds

60 seconds make 1 minutes, therefore 1 mile/min = 1/60 miles/seconds

Thus;

V_avg = 0.5556 miles/min = 0.5556 × 1/60 miles/sec = 0.00926 miles/sec

please solve this i will give you brainliest​

Answers

Answer:

1

Step-by-step explanation:

gvgbkhbgvbhjbjhbjhbhjnnj

Please turn the sentence into an expression

3. twelve more than the sum of ten and a
number

Answers

Answer:

Do U-Turn

Step-by-step explanation:

Step-by-step explanation:

12+(10+x)

I hope this helps

Solve: (3x-9) and (x + 5)

Answers

Answer:

2

Step-by-step explanation:

Got it right on my test

27/15 = 72/a ASAP plz help

Answers

Answer:

[tex] \frac{27}{15} = \frac{72}{a} \\ \\ 27 \times a = 15 \times 72 \\ \\ a = \frac{1080}{27 } \\ \\ a = 40[/tex]

I need serious help please!

Equation of a line: given that m equals 5 and P(2,3), find the y-intercept (b), and write the equation of the line in slope intercept form

Equation of a line: given that m equals -2 and P(-4,5), find the y-intercept (b), and right equation of the line and slope intercept form

Giving P(3, -5) and Q(6,3). Find the slope of the line passing through the two points

Answers

Answer:

1. y-intercept = -7

equation: y = 5x - 7

2. y-intercept = -3

equation: y = -2x - 3

3. slope = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

slope-intercept form: y = mx + b

slope formula: [tex]\frac{y2 - y1}{x2 - x1}[/tex]

To write an equation in slope-intercept form, you need to know the slope(m) and the y-intercept(b).

1. Given: m = 5, P(2, 3). To find the y-intercept, input the given values of m and the point into the equation format and solve for b:

y = mx + b

3 = 5(2) + b

3 = 10 + b

-7 = b

The y-intercept is -7.

Now that we know the slope and the y-intercept, we can write the equation:

y = 5x - 7

2. Given: m = -2, P(-4, 5). To find the y-intercept, input the given values of m and the point into the equation and solve for b:

y = mx + b

5 = -2(-4) + b

5 = 8 + b

-3 = b

The y-intercept is -3.

Now that we know the slope and the y-intercept, we can write the equation:

y = -2x - 3

3. Given: P(3, -5), Q(6, 3). To find the slope, input the given points into the slope formula:

(3, -5) = (x1, y1)

(6, 3) = (x2, y2)

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{3-(-5)}{6-3}[/tex]

Simplify:

3 - (-5) = 3 + 5 = 8

6 - 3 = 3

[tex]\frac{8}{3}[/tex]

The slope of the line passing through points P and Q is [tex]\frac{8}{3}[/tex].

I hope this helps. :)

I need the answer
I don't need you to make it a whole paragraph

Answers

Answer:

3

Step-by-step explanation:

Answer:

3 cups

Step-by-step explanation:

What function represents the amount of change given from a $10 bill, f(x), based on x, the number of bagels purchased? f(x) = 4x + O f(x) = -x + 10 Of(x) = x + 10 O f(x) = -x + 10​

Answers

Answer:

the answer is c

Step-by-step explanation:hope this helps

Answer:

C or the third option, 3/4 x + 10

Step-by-step explanation:

100% correct please mark brainlist. HAVE A GREAT DAY

Is the cost of the apples proportinal to the weight of the apples?

Answers

Answer:

What is the cost/ weight of the apples?

Step-by-step explanation:

A laboratory scale is known to have a standard deviation of Ï = 0.001 gram in repeated weighings. Scale readings in repeated weighings are Normally distributed, with mean equal to the true weight of the specimen. A particular specimen is weighed 8 times on this scale. The average weight is x ¯ = 4.1602 grams. A 99% confidence interval for the true weight of the specimen is:_______

Answers

Answer:

the confidence interval for the true weight of the specimen is;

4.1593 ≤ μ ≤ 4.1611

Step-by-step explanation:

We are given;

Standard deviation; σ = 0.001

Sample size; n = 8

Average weight; x¯ = 4.1602

We are given a 99% confidence interval and the z-value at this interval is 2.576

Formula for confidence interval is;

CI = x¯ ± (zσ/√n)

Plugging in the relevant values, we have;

CI = 4.1602 ± (2.576 × 0.001/√8)

CI = 4.1602 ± 0.000911

CI = (4.1602 - 0.000911), (4.1602 + 0.000911)

CI ≈ (4.1593, 4.1611)

Thus, the confidence interval for the true weight will be expressed as;

4.1593 ≤ μ ≤ 4.1611

Where μ represents the true weight

Mr. and Mrs. Sanchez hope to send their daughter to college in fourteen years. How much money should they invest now at an interest rate of 9.5% per year, compounded continuously, in order to be able to contribute $9500 to her education?

Answers

Answer:

Principle (P) = $2,512.56 (Approx)

Step-by-step explanation:

Given:

Interest annually (R) = 9.5% = 0.095

Amount need (A) = $9500

Time period (T) = 14 years

Find:

Principle (P)

Computation:

A = P[e^(R*T)]

9,500 = P[e^(0.095 x 14)]

9,500 = P[3.781]

P = 9,500 / 3.781

Principle (P) = $2,512.56 (Approx)

Mr. and Mrs. Sanchez need to invest $2666 for 14 years in order to be able to contribute $9500 to her education.

A compound interest is given by the formula:

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

Where A is the final amount, r is the rate, t is the period, P is the principal and n is the number of times compounded in a period.

Given that A = 9500, r = 9.5% = 0.095, t = 14, n = 1. hence:

[tex]A=P(1+\frac{r}{n} )^{nt}\\\\9500=P(1+0.095)^{14}\\\\9500=3.56P\\\\P=\$2666[/tex]

Mr. and Mrs. Sanchez need to invest $2666 for 14 years in order to be able to contribute $9500 to her education.

Find out more at: https://brainly.com/question/22803385

Solve the following equation for I. A = 2 πr + πrl. Explain each step.
BRAINLY IF CORRECT

Answers

Answer:

Step-by-step explanation:

A  = 2π +πrl                

A - 2π = πrI                  subtract by 2π

(A- 2π)/(πr) = I               divide by πr to isolate I

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