Write the point-slope equation of the line that contains the point (1, -4) and has slope

A ball is thrown straight up with a initial velocity of 56 feet per second . The height , h , of the ball t seconds after it is

Tju [1.3M]

Formula: H(t) = 56t – 16t^2

H(t) = - 16t^2 + 56t

A. What is the height of the ball after 1 second? H (1) = 56(1) – 16(1) ^2 = 40 pt.

B. What is the maximum height? X = - (56)/2(- 16) = 1.75 sec h (1.75) = 56(1.75) – 16(1.75) ^2 h (1.75) = 49ft.

C. After how many seconds will it return to the ground? – 16t^2 + 56t = 0 - 8t =0 t = 0

- 8t (2 + - 7) = 0 2t – 7 = 0 t = 7/2 Ans: 3.5 seconds

3 0

3 years ago

A pet store donated a percent to very sale to hospitals. The total sales were $9,925 so the store donated $397. WHat percent of

const2013 [10]

Answer:

4%

Step-by-step explanation:

$\frac{part}{entirety} *100$

$\frac{397}{9925} *100 =4$

4 0

2 years ago

The function h(x)=x^2+3 and g(x)=x^2-6 if g(x)=h(x)+k what is the value of k

riadik2000 [5.3K]

Answer:

hello : k = - 9

Step-by-step explanation:

h(x) =x²+3 and g(x) = x² - 6.....(*)

g(x) = x² +3 + k.....(**)

by (*) and (**) : 3+k = -6

3+k - 3 = - 6 - 3

k = - 9

8 0

3 years ago

How to measure a shoe length millimeter centimenter meter kilometer

Hatshy [7]

Out of those options centimeter because it’s small but not as small as a millimeter is

5 0

2 years ago

A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 335335 babies were born

strojnjashka [21]

Answer:

The 99% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

Step-by-step explanation:

Confidence Interval for the proportion:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 335, \pi = \frac{268}{335} = 0.8$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.7437$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.8563$

For the percentage:

Multiplying the proportions by 100.

The 99% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

7 0

3 years ago

Write the point-slope equation of the line that contains the point (1, -4) and has slope - 1/3.​

Write the point-slope equation of the line that contains the point (1, -4) and has slope - 1/3.