Brainlest and points !! Picture included

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

9316000000000

hope this helps

Answer:

9.316 × 10¹² = 9 316 000 000 000

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

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:

∠1 = 90°

∠2 = 26°

Step-by-step explanation:

Answer:

Step-by-step explanation:

Kwowvskdjshsns

Answer:

5+r=6-r

-5 -5

r=1-r

+r +r

2r=1

÷2 ÷2

r=1/2

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Length of remnant fabric = 9.7m

Number of 0.85m length needed for patio = 12

Total length needed = (0.85 * 12) = 10.2m

The length of fabric needed is more than the length of remnant fabric found ;

10.2 m - 9.7m = 0.5m

Hence, Alex will need 0.5m more fabric

Answer:

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

Use the sine function.

sine = opposite side of triangle divided by the hypotenuse.

Here is the set up:

sin(50°) = BC/3

sin(50°)/3 = BC

Use your calculator to simply left side.

Take it from here.

Answer:56

Step-by-step explanation: -8x-7=56

Answer: -15

Step-by-step explanation: it will just give you a higher negative number it is literally the opposite from positive equations if u have to negative numbers u add them if there is a negative AND a positive then you substract them :)

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:

https://brainly.com/question/2455673

#SPJ9

Answer:2.65

Step-by-step explanation:

The answer is 2.65

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:

1. No

2. No

3. No

4. Yes

Step-by-step explanation:

Binomial approximation to normal.

The binomial probability distribution has parameters n, p and q.

If

[tex]np \geq 5[/tex] and [tex]nq \geq 5[/tex], you can use the normal approximation.

1. n = 24, p = 0.85, q = 0.15

[tex]np = 24*0.85 = 20.4 > 5[/tex]

[tex]nq = 24*0.15 = 3.6 < 5[/tex]

So no.

2. n = 15, p = 0.70, q = 0.30

[tex]np = 15*0.7 = 10.5 > 5[/tex]

[tex]nq = 15*0.3 = 4.5 < 5[/tex]

So no.

3. n = 18, p = 0.90, q = 0.10

[tex]np = 18*0.9 = 16.2 > 5[/tex]

[tex]nq = 18*0.1 = 1.8 < 5[/tex]

No

4. n = 20, p = 0.65, q = 0.35

[tex]np = 20*0.65 = 13 > 5[/tex]

[tex]nq = 20*0.35 = 7 > 5[/tex]

Yes

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:

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:

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:

1780.43

Step-by-step explanation:

Given:

P = 800

r = 10% or 0.1

t = 8

Answer:

35.5

Step-by-step explanation:

Answer:

tara

Step-by-step explanation:

scott wrote it backwards

your suppose to  write a+b not b+a

so tara got it right

Answer:

#5)  

     Figure 1: 4

     Figure 2: 9

     Total: 13

#6)

     Figure 1: 10

     Figure 2: 30

     Total: 40

#7)

     Figure 1: 36

     Figure 2: 36

     Total: 72

#8)

     Figure 1: 12

     Figure 2: 28

     Total: 40

     (The numbers in the image are incorrect)

Answer:

y = 88

Step-by-step explanation:

y + 53 + 39 = 180

y + 92 = 180

y = 88

Answer:

well if several means 3 then she used 12 pints.

Step-by-step explanation:

3X4=12

4X4=16

5X4=20 and so on.

Answer: 20 cups :DD

Step-by-step explanation:

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

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:

https://brainly.com/question/3118662

#SPJ2

Answer:

9

Step-by-step explanation:

2x + 3y - 2 =9

(2) + (9) -2 =9