-5(4m - 6) + (-9 + 7m)

Answer:

Option (1)

Step-by-step explanation:

In a geometric series,

[tex]\sum_{n=0}^{\infty}ar^n=a+ar^1+ar^2+....[/tex]

Here r = [tex]\frac{a_n}{a_{n-1}}[/tex]

For |r| < 1, series will converge.

For |r| > 1, series will diverge.

Option (1)

Given geometric series is,

[tex]\frac{1}{2}+\frac{1}{4}+ \frac{1}{8}+ \frac{1}{16}.......[/tex]

Common ratio = [tex]\frac{\frac{1}{4}}{\frac{1}{2} }[/tex]

                        = [tex]\frac{1}{2}[/tex]

Since, [tex]\frac{1}{2}<1[/tex]

Series will converge.

Option (2)

[tex]\frac{1}{2}+1+2+4+......[/tex]

r = [tex]\frac{1}{\frac{1}{2}}=2[/tex]

Since, 2 > 1,

Series will diverge.

Option (3)

[tex]\frac{1}{2}+ \frac{3}{2}+ \frac{9}{2}+ \frac{27}{2}+......[/tex]

Common ratio 'r' = [tex]\frac{\frac{3}{2} }{\frac{1}{2} }=3[/tex]

Since, 3 > 1,

Series will diverge.

Option (4)

[tex]\frac{1}{2}+3+18+108+.....[/tex]

Common ratio 'r' = [tex]\frac{3}{\frac{1}{2}}=6[/tex]

Since, 6 > 1

Series will diverge.

Therefore, Option (1) will be the correct option.

Answer:

-3

Step-by-step explanation:

Answer:

The answer is D.

Answer:

D. [tex]8(2x + 5y)[/tex]

Step-by-step explanation:

STEP 1: Add 12x and 4x.

[tex]16x+25y+15y[/tex]

STEP 2: Add 25y and 15y.

[tex]16x+40y[/tex]

STEP 3: Factor 8 out of 16x+40y.

[tex]8(2x+5y)[/tex]

Answer:b

Step-by-step explanation:

Answer:

122

Im not sure and im SO SORRY if its wrong

Step-by-step explanation:

Answer:

subtract 40 from both sides

Answer:

You subtract 40 which will equal -6 and now you divide  -6/4n and the answer is n=-1.5

Step-by-step explanation:

Answer:

m∠T = 72°

m∠U = 54°

Step-by-step explanation:

Property of an isosceles triangle,

Opposite angles of two equal sides of an isosceles triangle are equal in measure.

By this property, in the given triangle STU,

Since, ST ≅ TU,

m∠S = m∠U = 54°

Since, sum of interior angles of a triangle is 180°

m∠T + m∠S + m∠U = 180°

m∠T + 54° + 54° = 180°

m∠T = 180° - 108°

m∠T = 72°

Answer:

y = 2

Step-by-step explanation:

14-4y=y+4

5y = 10

y = 2

Answer:

2

Step-by-step explanation:

14 - 4y = y+4

5y = 10

y =2

Answer: 11.59 months

Step-by-step explanation:

You need to divide 339.12 by 29.26. Then you should check your answer by multiplying 11.59 by 29.26. Which should get you 339.1234. When you sound that you get 339.12. Hope this helps!!

Answer:

f(n) = 0.2n + 4.8

4.8

Step-by-step explanation:

Given the explicit formula :

an = 5 +0.2(n - 1)

Expressing an in function form f(n):

f(n) = 5 + 0.2(n - 1)

f(n) = 5 + 0.2n - 0.2

f(n) = 5 - 0.2 + 0.2n

f(n) = 0.2n + 4.8

The y - intercept :

Set n = 0

f(n) = 0.2n + 4.8

f(0) = 0.2(0) + 4.8

= 0 + 4.8

= 4.8

y intercept = 4.8

Answer:

it takes 3 seconds for it to get the the maximum height

Step-by-step explanation:

well this is easy bc it is negative so we know it goes down, meaning the vertex will be at the top/highest point.

so all u gotta do is find the vertex which is x=-b/2a

now we gotta plug the numbers in and solve

h(x)=-3x^2+18x

x=-18/2(-3)=-18/-6=3

voilà there is the answer, 3 seconds

Answer:

5DG=156 I think this is but I am not sure bro

Answer:

5/DG = 15/6

Step-by-step explanation:

Answer:

The scale model giraffe is 5 inches tall.

Step-by-step explanation:

Since the artist sculpted the figure of the giraffe with a scale of 1 inch = 4 feet, and that the real giraffe that lives in the zoo is about 20 feet, to determine the size of the sculpted giraffe to scale it is necessary to perform the following calculation:

20/4 = X

5 = X

Thus, the scale sculpted giraffe that will be sold in the gift shop measures 5 inches.

Answer:

B Igneous

Step-by-step explanation:

Igneous rock is formed by melting and then cooling.

Answer:

B

Step-by-step explanation:

Igneous

Answer:

25/332

Step-by-step explanation:

Answer

14(1+3)

Explanation

The greatest common factor of 14 and 42 is 14.

Divide 14 and 42 each by 14.

14÷14=1

42÷14=3

So 14+42 factored is 14(1+3).

You can also check your answer.

1+3=4

14×4=56

-----

14+42=56

Answer:

She made 15 trials

Step-by-step explanation:

Well it said that she opened the book 15 times in total and records each time so the answer would be 15.

Mina conducted 15 trials in total.

       P(A) = n(A)/n(S)  

        where -

        n(A) = Number of outcomes favorable to event A.

        n(S) = Total number of outcomes.

We have Mina opens a book 15 times and records whether the page number is even or odd.

Since she opens the book 15 times, she conducted 15 trials in total.

Therefore, Mina conducted 15 trials in total.

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

Answer:

29

Step-by-step explanation:

I am going to assume (y)2 = [tex]y^{2}[/tex] because you have the term 2y right after.

when y = -6

[tex](-6)^2+2(-6) + 5 = 36-12+5\\= 29[/tex]

Answer:

the codrect answer is 625

number three is the answer

Step-by-step explanation:

Answer:

Scale Factor: 2.5   Length of RS: 14.375

Step-by-step explanation:

Answer:

y=mx+b

y=4x+1

slope: 4

y-intercept: 1

Step-by-step explanation:

hopefully this helps :)

Answer:

8x+3

Step-by-step explanation:

Answer:

3x+7y=63

x+y=17

Step-by-step explanation:

Answer:

y = 270x + 100

The x represents the number of months

and the 100 is the one time application fee

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer: Your answer is 36cm^3.

Answer:

the volume would be 36cm

Step-by-step explanation:

To find volume, you have to do length*width*height

6*3 = 18

18*2 = 36