Simpilify <br><br> (x to the third) to the fifth

The graph shows the height (h), in feet, of a basketball t seconds after it is shot. Projectile motion formula: h(t) = -16t2 + v

Harlamova29_29 [7]

Answer:

$\boxed{h(t)=-16t^2+24t+6}$

<h2>Step-by-step explanation: </h2><h2 /><h3>From the statement of the problem we know: </h3>

The graph shows the height (h), in feet, of a basketball t seconds after it is shot. Projectile motion formula:

$h(t)=-16t^2+vt+h_{0}$

$v$ = initial vertical velocity of the ball in feet per second

$h_{0}$ = initial height of the ball in feet Complete the quadratic equation that models the situation.

<h3>From the graph we know: </h3>

$h(0)=6 \\ \\ \therefore 6=-16(0)^2+v(0)+h_{0} \\ \\ \therefore h_{0}=6$

For a quadratic function:

$f(x)=ax^2+bx+c \\ \\ \\ The \ vertex \ is: \\ \\ V(-\frac{b}{2a},f(-\frac{b}{2a})) \\ \\ Since: \\ \\ h(t)=-16t^2+vt+6 \ then: \\ \\ a=-16 \\ b=v \\ c=h_{0}=6 \\ \\ So: \\ \\ -\frac{b}{2a}=-\frac{v}{2(-16)}=0.75 \\ \\ \frac{v}{32}=0.75 \\ \\ \therefore v=32(0.75) \ \therefore v=24$

Finally:

$\boxed{h(t)=-16t^2+24t+6}$

6 0

3 years ago

Read 2 more answers

P(A)=0.612,find P(-A) I need help guys

VashaNatasha [74]

Answer:

P(-A) = 0.388

Step-by-step explanation:

By the <u> PROBABILITY POSTULATE: </u>

P(A) + P(not A) = 1

Here, P(A) = 0.612

So, P(not A) = P(-A) = 1 - 0.612 = 0.388

⇒P(-A) = 0.388

4 0

4 years ago

Different types of encoding affect a person’s ability to remember words. You can test this by asking a participant to first do a

kogti [31]

The computation of the data shows that the standard error is 0.015.

<h3>How to calculate the standard error?</h3>

From the information, the following can be deduced:

Number of students n = 49

Randomly selected students = 0.794

The standard error will be:

= 0.105/✓49

= 0.105/7

= 0.015

In conclusion, the standard error is 0.015.

Learn more about standard error on:

brainly.com/question/1191244

5 0

2 years ago

1.) You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into t

rjkz [21]

Here we have 3 general algebraic problems that we need to solve. Using simple reasoning we can solve these.

1) You will buy a board of length L.

You will cut two pieces that are 1.4 ft long.

So at this point, the length of the board piece is:

L - 1.4ft - 1.4ft = L - 2.8ft.

Now, you want this to be 1.17 times longer than 1.4ft, then we need to solve:

L - 2.8ft. = 1.17*(1.4ft) = 1.638ft

L = 1.638ft + 2.8ft = 4.438ft

Rounding to the nearest tenth, we get:

L = 4.4 ft

This is the length of board you should buy.

2) Here we know:

You pay $0.13 per KW-h

This month, you pay a total of $83.96

The total number of KW-h you used is equal to the quotient between the total amount you paid and the price of a single KW-h, this is:

N = $83.96/$0.13 = 645.85

This month you used 645.85 KW-h in your home.

3) Here we know:

You pay $0.09 per KW-h.

Running the bulb for one hour consumes 0.06 KW-h

So, if you leave one of these lights on all day (24 hours) it would consume:

24*0.06 KW-h = 1.44 KW-h

If you instead leave 5 of these bulbs, you will consume 5 times that amount:

5*1.44 KW-h = 7.2 KW-h

This is in one single day, if you do this for 30 days, the total consumption is:

30* 7.2 KW-h = 216 KW-h

And you pay $0.09 for each one of these, then the cost is 216 times $0.09

Cost = 216*$0.09 = $19.44

If you want to learn more about algebra, you can read:

brainly.com/question/24382046

3 0

3 years ago

WILL MARK BRAINLIEST!!! Your friend states that for functions of the form y = a sin bx and y = a cos bx, the values of a and b a

avanturin [10]

Answer:

<h2>The sine function won't be affected, but the consine function will.</h2>

Step-by-step explanation:

First of all, remember that $sin(0)=0$ and $cos(0)=1$ . As you can see, the sine function won't be affect by $a$ , because its value is null.

However, the x-intercept of the cosine function depends on the $a$ value, because the function is equal to the unit.

On the other hand, the variable $b$ won't affect any function, because it would be always zero.

Therefore, the sine function won't be affected, but the consine function will.

8 0

4 years ago

Simpilify (x to the third) to the fifth