All categories

3 years ago

Please help!! Thank you :)

Mathematics

1 answer:

Effectus [21]3 years ago

3 0

Answer:

B. f(n) = 8(2)^n-1

Step-by-step explanation:

I used guess and check to answer this.

Check--

First term: 8(2)^1-1 = 8

Second term: 8(2)^2-1 = 16

Third term: 8(2)^3-1 = 32

Fourth term: 8(2)^4-1 = 64

Fifth term: 8(2)^5-1 = 128

You might be interested in

What is the value of the expression “two less than six times the difference of a number and five” when n = 9?

Finger [1]

Answer:

Try solving 6(n-5)-2.

Step-by-step explanation:

I believe this can be set up as 6(n-5)-2. The difference of a number and five can be represented by n-5. If this needs to be multiplied by 6 (hence 6 times), it would become 6(n-5). Two less than that is represented by -2. Thus, two less than six times the difference of a number and five is 6(n-5) -2, which, when n=9 is plugged in, looks like 6(9-5) -2. Follow PEMDAS from there.

7 0

3 years ago

Please help i don't understand!

vaieri [72.5K]

Answer: 9. x=-3/2 10. x=2

x= 5/2 x=5/3

Step-by-step explanation:

9. Factor the equation:

How: put 4x^2 in the bottom left box and -15 in the upper right box.

then multiply 4x^2 x -15 = -60x^2 and put your answer in the top center box of the diamond.

Put the -4x from the equation in the bottom box. Then list out factors that multiply to the top box (-60x^2) and add to the bottom box (-4x) The two factors are -10 and 6

-10 x 6 = -60

-10 + 6 = -4

Put -12x and -5x in the remaining white boxes and find what numbers multiply to each.

I attached a picture. The colored dots correspond with each other.

Eg: Orange dot x orange dot = number in white square

Now you get the two factors (2x+3)(2x-5)

Set both of these equal to 0 and solve

0=2x+3 0=2x-5

x= -3/2 x= 5/2

Do the same for the other problem

7 0

1 year ago

a botanist was measuring how tall her plant grew. after two weeks it had grown 9.62 inches. the second week alone it had grown 3

Elanso [62]

Answer:

6.5 inches

Step-by-step explanation:

Take the total 9.62 inches

Remove the 3.12 inches from the second week and there is your answer!

6 0

2 years ago

Suppose the average tread-life of a certain brand of tire is 42,000 miles and that this mileage follows the exponential probabil

Ahat [919]

Answer: The probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .

Step-by-step explanation:

The cumulative distribution function for exponential distribution is :-

$P(X\leq x)=1-e^{\frac{-x}{\lambda}}$ , where $\lambda$ is the mean of the distribution.

As per given , we have

Average tread-life of a certain brand of tire : $\lambda=\text{42,000 miles }$

Now , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles will be :

$P(X\leq 65000)=1-e^{\frac{-65000}{42000}}\\\\=1-e^{-1.54761}\\\\=1-0.212755853158\\\\=0.787244146842\approx0.7872$

Hence , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .

8 0

3 years ago

Bc has endpoints b(5 ,9) and c(-4, -3). Find the coordinates of the midpoint of bc

Alex73 [517]

We can find the midpoint of any line segment using the midpoint formula: M=(x1+x2/2,y1+y2/2). Essentially, the midpoint formula finds the average of two points. If we use B and the first point and C as the second, when we plug in our values we would have M=(5-4/2,9-5/2). This can be simplified to M=(1/2,4/2) or M=(1/2,2) which is the final answer.

<span>I hope this helps.</span>

4 0

3 years ago

Read 2 more answers