Ehat is (-2,-4) rotated 270⁰ counterclockwise about the origin?

3. A soccer player heads a ball from a height of 6 feet with an initial vertical velocity of 20 feet per second. The height h in

kherson [118]

Answer:

Part A

1.5 seconds

Part B

By substitution and factorization because h = 0 at ground level

Step-by-step explanation:

Part A

The height from which the soccer player heads the ball, h = 6 feet

The initial velocity of the ball, v = 20 ft./s

The height of the ball in feet, h = -16·t² + 20·t + 6

From the given equation of the ball, we have;

At the initial height, t = 0, from the given equation, h = 6

At the ground level, the height, h = 0, therefore, we get;

0 = -16·t² + 20·t + 6

Factorizing using a graphing calculator gives;

0 = 2 × (-8·t² + 10·t + 3) = -2 × (8·t² - 10·t - 3) = -2 × (2·t -3)·(4·t + 1)

∴ (2·t -3)·(4·t + 1) = 0

t = 1.5 or t = -1/4 = -0.25

Therefore;

The time it takes the ball to hit the ground, t = 1.5 seconds.

Part B

The method used in solving the given quadratic equation is by plugging in the value of 'h' as h = 0 in the given equation and factorizing the result because at ground level, the height, h = 0.

6 0

3 years ago

4 ^sqrt 400/ 4^ sqrt 5

Lina20 [59]

4^ sqrt(400) / (4^ sqrt(5))
= 4^20/ 4^ sqrt(5)
= 4^ (20- sqrt(5)

The final answer is 4^ (20- sqrt(5)~

7 0

3 years ago

The numbers {0, −1, 1.9, √3, 15} are examples of what set of numbers?

atroni [7]

0, -1, 1.9,3,15 are irrational numbers

6 0

3 years ago

Suppose that we are testing H0 : 0 versus H1 : 0 with a sample size of n 10. Calculate bounds on the P-value for the following o

stepan [7]

Answer:

a) $p_V = 2*P(t_{9} >|2.48|) =0.0349$

We can use the following excel code: "=2*(1-T.DIST(2.48,9,TRUE))"

$0.03 < p_v$

b) $p_V = 2*P(t_{9} >|-3.95|)=0.003355$

We can use the following excel code: "=2*(1-T.DIST(3.95,9,TRUE))"

$p_v$

c) $p_V = 2*P(t_{9} >|2.69|) =0.02480$

We can use the following excel code: "=2*(1-T.DIST(2.69,9,TRUE))"

$0.01 < p_v$

d) $p_V = 2*P(t_{9} >|1.88|) =0.09281$

We can use the following excel code: "=2*(1-T.DIST(1.88,9,TRUE))"

$0.05 < p_v$

Step-by-step explanation:

For this case we are testing the following system of hypothesis:

Null hypothesis: $\mu =0$

Alternative hypothesis: $\mu \neq 0$

The sample size is n=10, so then the degrees of freedom are given by:

$df=n-1= 10-1=9$

In order to calculate the p value we can use the fact that we are conducting a bilateral test so then the p value is given by:

$p_V = 2*P(t_{9} >|t_0|)$

Where $t_0$ represent the calculated or observed statistic.

a) t0= 2.48

$p_V = 2*P(t_{9} >|2.48|) =0.0349$

We can use the following excel code: "=2*(1-T.DIST(2.48,9,TRUE))"

$0.03 < p_v$

b) t0= -3.95

$p_V = 2*P(t_{9} >|-3.95|)=0.003355$

We can use the following excel code: "=2*(1-T.DIST(3.95,9,TRUE))"

$p_v$

c) t0=2.69

$p_V = 2*P(t_{9} >|2.69|) =0.02480$

We can use the following excel code: "=2*(1-T.DIST(2.69,9,TRUE))"

$0.01 < p_v$

d) t0=1.88

$p_V = 2*P(t_{9} >|1.88|) =0.09281$

We can use the following excel code: "=2*(1-T.DIST(1.88,9,TRUE))"

$0.05 < p_v$

6 0

3 years ago

PLEASE HELP ME ID REALLY APPRECIATE IT:)

wlad13 [49]

Each term is formed from the last by adding 3/8

The second option is correct

8 0

3 years ago

Read 2 more answers

Ehat is (-2,-4) rotated 270⁰ counterclockwise about the origin?​

Ehat is (-2,-4) rotated 270⁰ counterclockwise about the origin?