Write an equation in polnt-slope form for the line through the given point with the given slope of (10,-9); m = -2

What value is equivalent to -30-2^3*3

zepelin [54]

Answer:

-6

Step-by-step explanation:

-2 ^3x3 = 24

-30 + 24 = -6

8 0

2 years ago

Read 2 more answers

An arrow is shot vertically upward at a rate of 240 feet per second from ground level. Use the projectile formula to determine w

Juli2301 [7.4K]

Answer:

After 14.92 seconds, the arrow hits the ground.

Step-by-step explanation:

Given:

Initial velocity of the arrow is, $u=240\ ft/s or 73.152\ m/s$

The arrow goes up and come back to the same starting position. So, initial position is same as that of final position.

Therefore, displacement of the arrow is 0 m.

The displacement of the arrow is given as:

$s=ut-\frac{1}{2}gt^{2}$ (equation 1)

Plug all value in equation 1 and solve for $t$

$0=73.152\timests t-\frac{1}{2} \times9.8 \times t^{2}$

$0=73.152\timests t-4.9 \times t^{2}$

$0=t(73.152-4.9 \times t)$

$73.152-4.9\times t=0$ where $t\neq 0$

$4.9\times t=73.152$

$t=\frac{73.152}{4.9}= 14.92\ s$

∴ After 14.92 seconds, the arrow hits the ground.

5 0

3 years ago

Suppose that each time Giannis Antetokounmpo shoots a free throw, he has a 3/4 probability of success. If Giannis shoots three f

GREYUIT [131]

Answer:

84.38% probability that he succeeds on at least two of them

Step-by-step explanation:

For each free throw, there are only two possible outcomes. Either Giannis makes it, or he does not. The free throws are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

He has a 3/4 probability of success.

This means that $p = \frac{3}{4} = 0.75$

Giannis shoots three free throws

This means that $n = 3$

What is the probability that he succeeds on at least two of them

$P(X \geq 2) = P(X = 2) + P(X = 3)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{3,2}.(0.75)^{2}.(0.25)^{1} = 0.4219$

$P(X = 3) = C_{3,3}.(0.75)^{3}.(0.25)^{0} = 0.4219$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4219 + 0.4219 = 0.8438$

84.38% probability that he succeeds on at least two of them

6 0

2 years ago

Jori has 7 boxes of books, with each box holding the same number of books. He has 126 books in all. How many books are there per

nika2105 [10]

126/7 = 18

18 books per box

7 0

2 years ago

David made a class banner out of a large rectangular piece of paper. He cut a

Irina18 [472]

Answer:

100 in²

Step-by-step explanation:

The area of the banner is equal to the area of the initial rectangle minus the area of the cutout triangle.

The rectangle has a height of 8 inches and width of 14 inches, so its area is:

A = (8 in) (14 in) = 112 in²

The triangle has a base of 8 inches and a height of 3 inches, so its area is:

A = ½ (8 in) (3 in) = 12 in²

So the area of the banner is 112 in² − 12 in² = 100 in².

6 0

3 years ago

Write an equation in polnt-slope form for the line through the given point with the given slope of (10,-9); m = -2 ​

Write an equation in polnt-slope form for the line through the given point with the given slope of (10,-9); m = -2