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3 years ago

5b^2(9b-7)+(-9b^2)(4b-3) in simplest form

1 answer:

6 0

The answer is 9b^3−8b^2. Good luck!!!!

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Find the distance between (6,4) and (0,-5)

sergejj [24]

Step-by-step explanation:

we know,

distance = √(x_2 - x_1)² + (y_2 - y_1)²

given points

(6,4) and (0,-5)

according to formula

→ d = √(0 - 6)² + (-5 - 4)²

→ √(-6)² + (-9)²

→ √36 + 81

→ √117 = 10.81 (approx.)

therefore, distance between both the points are 10.81 (approx.).

Hope this helps you !

4 0

3 years ago

What is the 17th term in the arithmetic sequence an=77+(n-1)(-5)

Semmy [17]

Answer:

a₁₇ = - 3

Step-by-step explanation:

substitute n = 17 into the nth term rule

a₁₇ = 77 + 16 × - 5 = 77 - 80 = - 3

8 0

2 years ago

Read 2 more answers

Suppose that a die is rolled twice. What are the possible values that the following random variables can take on: (a) the maximu

Fiesta28 [93]

Answer:

See explanation

Step-by-step explanation:

Suppose that a die is rolled twice. Each time one of 6 numbers (1, 2, 3, 4, 5, 6) can be rolled.

A. the maximum value to appear in the two rolls is 6

B. the minimum value to appear in the two rolls is 1

C. the sum of the two rolls can vary from 2 to 12 (it can be 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)

D. the value of the first roll minus the value of the second roll can very from -5 to 5 (-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5)

Here -5 can be obtained as 1 - 6 (1 on the first roll and 6 on thesecond roll), -4 can be obtained as 1 - 5 or 2 - 6 and so on.

3 0

3 years ago

Attention all people! There is a girl trying to get people to press this link and she tries to control your computer and steal y

kvasek [131]

Answer:

thank you for the warning the moderators of this website really need 2 get there stuff together

Step-by-step explanation:

6 0

3 years ago

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