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3 years ago

GIVING BRAINIEST for the correct answer

Mathematics

1 answer:

makkiz [27]3 years ago

4 0

Last one is 6.3 pounds and the other one is 8.5 dollars

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A soccer ball was kicked in the air and follows the path h(x)=−2x2+1x+6, where x is the time in seconds and h is the height of t

madam [21]

The ball will hit the ground at 2 seconds.

Step-by-step explanation:

Given that,

The path of the ball = h(x)=−2x2+1x+6

Here,

x is the time while h is the height of ball.

When the ball will hit the ground, the height will become zero. Therefore,

h(x)=−2x2+1x+6

0 =−2x2+1x+6

2x2 -1x - 6 = 0

This is a quadratic equation, hence by applying quadratic equation formula:

$x = \frac{-b +- \sqrt{b^{2} - 4ac } }{2a}$

here,

a = 2

b = -1

c = -6

Putting these values in formula, we get

$x = \frac{-(-1) +- \sqrt{-1^{2} - 4.2.-6 } }{2.2}$

$x = \frac{1 +- \sqrt{1 + 48 } }{4}$

$x = \frac{1 +- \sqrt{49 } }{4}$

$x = \frac{1 +- 7 }{4}$

x = 2, -3/2

As the time cannot be negative. Therefore, the ball will hit the ground at 2 seconds.

6 0

3 years ago

Read 2 more answers

A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the

Lubov Fominskaja [6]

Answer:

The required sample size for the new study is 801.

Step-by-step explanation:

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 $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

25% of all adults had used the Internet for such a purpose

This means that $\pi = 0.25$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

What is the required sample size for the new study?

This is n for which M = 0.03. So

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

$0.03 = 1.96\sqrt{\frac{0.25*0.75)}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}$

$\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2$

$n = 800.3$

Rounding up:

The required sample size for the new study is 801.

4 0

2 years ago

Which number sentence is true? A. –2.0 + (–0.5) = 2.5 B. –4.5 + 6.5 = –2.0 C. 3.0 + (–0.5) = –2.5 D. 5.5 + (–2.5) = 3.0

Soloha48 [4]

<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ The correct number sentence is D. 5.5 + (-2.5) = 3.0

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

8 0

3 years ago

Read 2 more answers

Jill is factoring the expression 13XY -52y. Her work is shown below

Sunny_sXe [5.5K]

Answer:13y(x-4)

Step-by-step explanation:

13xy-52y =13y(x-4)

3 0

3 years ago

It is 4 1/2 miles to the end of the trail. If Sophia bikes to the end and back in 60 minutes, what is her average speed in miles

PtichkaEL [24]

60 minutes for 2 times of 4.5 miles

60 minutes for 9 miles.

9 miles/60 minutes = 9 miles/1 hour

9 mph

4 0

3 years ago