True or False. 35 points!! Vertical compressions make the parabola look skinnier.

For each of the finite geometric series given below, indicate the number of terms in the sum and find the sum. For the value of

kotykmax [81]

Answer:

Number of term N = 9

Value of Sum = 0.186

Step-by-step explanation:

From the given information:

Number of term N = $3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} + \cdots + 3 (0.5)^{13}$

Number of term N = $3 (0.5)^{5} + 3 (0.5)^{6} + 3 (0.5)^{7} +3 (0.5)^{8}+3 (0.5)^{9} +3 (0.5)^{10} +3 (0.5)^{11}+3 (0.5)^{12}+ 3 (0.5)^{13}$

Number of term N = 9

The Value of the sum can be determined by using the expression for geometric series:

$\sum \limits ^n_{k=m}ar^k =\dfrac{a(r^m-r^{n+1})}{1-r}$

here;

m = 5

n = 9

r = 0.5

Then:

$\sum \limits ^n_{k=m}ar^k =\dfrac{3(0.5^5-0.5^{9+1})}{1-0.5}$

$\sum \limits ^n_{k=m}ar^k =\dfrac{3(0.03125-0.5^{10})}{0.5}$

$\sum \limits ^n_{k=m}ar^k =\dfrac{(0.09375-9.765625*10^{-4})}{0.5}$

$\sum \limits ^n_{k=m}ar^k =0.186$

6 0

3 years ago

Find the x intercept. y = x + 3 / x - 2

VikaD [51]

Answer:

(-3, 0).

Step-by-step explanation:

At the x intercept y = 0 so

(x + 3) / (x - 2) = 0

x + 3 = 0

x = -3.

x-intercept is at (-3,0).

8 0

3 years ago

What is the focus of the parabola? y=14x2−x−1 Enter your answer in the space.. ( ?,? )

dmitriy555 [2]

This is a vertical parabola which opens upwards
we have the general formula
(x - h)^2 = 4p(y - k) where p is the y coordinate of the focus

y/14 = x^2 - x /14 - 1/14

add 1/14 to both sides

y/14 + 1 /14 = x^2 - x /14

now complete the square

y/14 + 1/14 = x^2 - x/14 + 1/28^2

y/14 + 1/14 = (x - 1/28)^2

(x - 1/28)^2 = 1/14( y + 1)

comparing this with the general form:-
4p = 1/14
p = 1/56

so the focus is at (h,p) = (1/28, 1/56)

5 0

3 years ago

Read 2 more answers

For the figure shown on the right find M 1

katrin2010 [14]

I think that’s a brand of tape beacuse there’s duck tape, scotch tape, paint tape, washie tape etc

Hope this helps:)

3 0

3 years ago

Read 2 more answers

The sum of 139 and the product of a number raised to the third power and 17. In symbols, the phrase is written as.

qwelly [4]

Answer:

y = 139 + x³ + 17

Step-by-step explanation:

The word "sum" means the amount resulting from addition in an equation. This means that we are adding all of these numbers together.

The word "product" means the amount resulting from multiplication in an equation, this means we need to find the product of a number multiplied by itself three times. Since we don't know what number it is, we can use the variable 'x'.

So, you would be adding 139, the product of x³, and 17, which would be written as y = 139 + x³ + 17.

7 0

2 years ago