please help me find the answer

Answer:

The answer is below

Step-by-step explanation:

Second term of a geometric series is 2, the limiting sum is 9.

Get the values of first term a and common ratio r.

Solution:

A geometric series is in the form:

a + ar + ar² + ar³ + . . . + arⁿ ⁻ ¹

Where a is the first term, n is the nth term and r is the second ratio.

Since the second term of the series is 2, hence:

ar⁽² ⁻ ¹⁾ = 2

ar = 2        (1)

Also, the limiting sum is 9, hence:

a/ (1 - r) = 9

a = 9 - 9r     (2)

Substitute a = 9 - 9r in eqn 1:

(9 - 9r)r = 2

9r - 9r² = 2

9r² - 9r + 2 = 0

9r² - 6r - 3r + 2 = 0

3r(3r - 2) -1(3r - 2) = 0

(3r - 1)(3r - 2) = 0

r = 1/3 or r = 2/3

When r = 1/3; a = 9 - 9r = 9 - 9(1/3) = 6

When r = 2/3; a = 9 - 9r = 9 - 9(2/3) =  3

Answer:

.04%

Step-by-step explanation:

you would subtract the 20.8 by 20 to get .8, then you divide .8 by the actual wait to get .04%

Answer:

9

Step-by-step explanation:

2x + 3y - 2 =9

(2) + (9) -2 =9

Answer:

tara

Step-by-step explanation:

scott wrote it backwards

your suppose to  write a+b not b+a

so tara got it right

The statements that are valid based on the survey results are:

About 20% of the students are taking chemistry.

About twice as many students are taking health science than are taking physics.

For every 150 students we could predict that at least 18 of the students are taking physics.

Option A, B, and C are correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

About 20% of the students are taking chemistry:

To calculate the percentage of students taking chemistry, we divide the number of students taking chemistry by the total number of students surveyed and multiply by 100:

10/50 x 100% = 20%

Therefore, the statement "About 20% of the students are taking chemistry" is valid based on the survey results.

About twice as many students are taking health science than are taking physics:

The number of students taking health science is 12, and the number of students taking physics is 6. To see if twice as many students are taking health science than physics, we can compare the ratios:

Health science : Physics = 12 : 6 = 2 : 1

Since the ratio is 2:1, we can conclude that the statement "About twice as many students are taking health science than are taking physics" is valid based on the survey results.

For every 150 students, we could predict that at least 18 of the students are taking physics:

To make this prediction, we need to calculate the proportion of students taking physics based on the survey results:

6/50 = 0.12

To predict how many students are taking physics in a larger population, we can multiply the proportion by the size of the population:

0.12 x 150 = 18

Therefore, the statement "For every 150 students we could predict that at least 18 of the students are taking physics" is valid based on the survey results.

For every 25 students, we could predict that at least 4 of the students are taking Earth Science:

To make this prediction, we need to calculate the proportion of students taking Earth Science based on the survey results:

4/50 = 0.08

To predict how many students are taking Earth Science in a larger population, we can multiply the proportion by the size of the population:

0.08 x 25 = 2

Therefore, the statement "For every 25 students we could predict that at least 4 of the students are taking Earth Science" is not valid based on the survey results, as we would predict that at least 2 students are taking Earth Science, not 4.

Therefore,

The statements that are valid based on the survey results are:

About 20% of the students are taking chemistry.

About twice as many students are taking health science than are taking physics.

For every 150 students we could predict that at least 18 of the students are taking physics.

Learn more about expressions here:

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Answer:

It is the first one 1/3(p+45).

Answer:

choice 1) 1/3(p + 45)

Step-by-step explanation:

1/3p + 15 = 1/3(p + 45)

Answer:2.65

Step-by-step explanation:

The answer is 2.65

Answer:

Step-by-step explanation:

Kwowvskdjshsns

Answer:

accorded a great deal of respect, especially because of age, wisdom, or character.

"a venerable statesman"

Similar:

respected

venerated

revered

reverenced

Step-by-step explanation:

Hope it helps u , Good luck ^.^

Answer:

U need to draw a triangle

Step-by-step explanation:

Answer:

principal is $15112

Step-by-step explanation:

25000=P(1+ 0.028/12)^(12times18)

The principal amount of the savings is $15111.6

The given parameters are:

Amount is calculated using:

A = P(1 + r/n)^nt

So, we have:

25000 = P(1 + 2.8%/12)^(12 * 18)

Make P the subject

P = 25000/(1 + 2.8%/12)^(12 * 18)

Evaluate the expression

P = 15111.6

Hence, the principal amount is $15111.6

Read more about compound interest at:

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Answer:

∠1 = 90°

∠2 = 26°

Step-by-step explanation:

Answer:

C. Substance C, Substance A, Substance D, Substance B

Answer:

Take whatever amount of miles Sammy and Tanya drive and add them

Step-by-step explanation:

I don't have many numbers to work with so my equations are:

14 x (1 day of driving miles amount) = a

A x 2 = your answer

Answer:

Is this called

BRAINLIEST WHO EVER ANSWERS FIRST !!!!!!I need someone to talk too! Please if anyone is willing to talk to me, I will give brainiest!

Answer:

A tropism (from Greek τρόπος, tropos, "a turning") is a biological phenomenon, indicating growth or turning movement of a biological organism, usually a plant, in response to an environmental sti

Answer:

1780.43

Step-by-step explanation:

Given:

P = 800

r = 10% or 0.1

t = 8

Answer:

Step-by-step explanation:

volume of sphere=4/3 π (7.8)³

=4/3π×474.552

=π×4×158.184

=632.736π

≈1987.799 cm³

Answer:

35.5

Step-by-step explanation:

Answer: 20 cups :DD

Step-by-step explanation:

Answer:

24.58%

Step-by-step explanation:

Given that,

Initial cost = $240

Final cost = $299

We need to find the percentage in his profit of the cost price.

Profit = Final cost - Initial cost

= $299 - $240

= $59

Percentage,

[tex]\%=\dfrac{59}{240}\times100\\\\=24.58\%[/tex]

So, the required percentage is equal to 24.58%.

Answer:

12:16

Step-by-step explanation:

3 x 4 = 12

4 x 4 = 16

Answer:

6:8, 9:12, or 12: 16

Step-by-step explanation:

don't know how many you need but hope this helps! :))

Answer:

v= -4i-j

Step-by-step explanation:

we subtract the coordinates and we achieve the coordinates and we replace them in the equation of the straight line in the form y=ai+bj.

Answer:

you will pay $60

Step-by-step explanation:

25% (1/4) of 80 is 20

subtract 20 from the total (80)

80 - 20 = 60

$60

Answer:

60

Step-by-step explanation:

So if you get 25% off, you're basically paying 75%.

So first, convert the percentage to a decimal:

75% = 75/100 = 0.75

Now just multiply the decimal by the total cost:

80$ (0.75) = $60

Answer:

x = 9°

y = 39°

Step-by-step explanation:

7x = 63

x = 9°

3y + 63 = 180

3y = 117

y = 39°

Answer:

Mode

Step-by-step explanation:

because 90 is the grade that shows up the most!

I hope I helped :)

Measure of center that Erica should use is mode to get the highest average on her scores.

For a set of data, mean is the average of all the elements in the data set.

Median is the element in the exact middle when numbers are arranged from smallest to largest or largest to smallest.

Mode is the element which is most repeated.

The given data set is,

80, 90, 70, 60, 90

Mean = (80 + 90 + 70 + 60 + 90) / 5 = 78

To find median, firstly arrange the numbers in order.

60, 70, 80, 90, 90

The middle element is the element in the third place, 80 which is the median.

90 is the only element which appears more than once. So mode is 90.

Mode gives the highest score.

Hence Erica should use mode as the measure of center to get the highest average.

Learn more about Measures of Central Tendency here :

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9316000000000

hope this helps

Answer:

9.316 × 10¹² = 9 316 000 000 000

i.e nine trillion, three hundred and sixteen billion.