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MAXImum [283]
4 years ago
7

A baseball is thrown with a vertical velocity of 50 ft/s from an initial height of 6 ft. The height h in feet of the baseball ca

n be modeled by h(t) = -16t2 + 50t + 6, where t is the time in seconds since the ball was thrown. It takes the ball approximately _____ seconds to reach its maximum height. (Round to the nearest tenth of a second and enter only the number.)
Mathematics
1 answer:
marin [14]4 years ago
5 0
To find the time to reach the maximum height you can subtract the constant 6  and write the function as:

h'(t) = -16t^2 + 50t

Then factor it: h'(t) = -2t(8t-25)
Then find the two roots:
t =0 and
8t - 25 = 0 ⇒ t = 25/8 = 3.125

The vertex is in the half between 0 and 3.125, i.e. [0+3.125]/2 = 1.5625

Then the time searched is approximately 1.56 seconds.

You might be interested in
The area of a rectangle is 294.4 sq.cm. The length of one side is 16cm. What is the perimeter?
Shkiper50 [21]

the perimeter is 68.8cm

Ok so because this is a rectangle the line directly across (paralell) is equal, so if one line is 16cm, the line parallel to that will also be 16. Then the formula for area is LxW we'd plug in the numbers we know to get 294.4cm^{2} =16 x W

then we divide 16 by both sides to make it even to get 18.4cm=W. Now we just plug everything in to the perimeter by doing 16 x 2 + 18.4 x 2 to get

6 0
3 years ago
Read 2 more answers
Use the graph of f(x) to evaluate the following:
EastWind [94]

Answer:

\large\boxed{-\dfrac{5}{4}}

Step-by-step explanation:

\text{The average rate of change of function}\ f(x)\\\text{over the interval}\ a\leq x\leq b\ \text{is given by this expression:}\\\dfrac{f(b)-f(a)}{b-a}.\\\\\text{Read from graph the values of function for}\ x=0\ \text{and}\ x=4.\\(look\ at\ the\ picture)\\\\f(0)=5,\ f(4)=0\\\\\text{Substitute:}\\\\\dfrac{f(4)-f(0)}{4-0}=\dfrac{0-5}{4}=-\dfrac{5}{4}

4 0
3 years ago
Can someone please me answer number 2&3. I’ll mark you as brainliest if correct!
steposvetlana [31]

Answer:

Number 3 is -17 7/24 yards and Number 2 is -42 1/36 meters

Step-by-step explanation:

Number 3:

-7 2/3 + (-9 5/8)

Then you find common denominator.

-7 16/24 + (-9 15/24)

Add.

-16 31/24

Lastly, Simplify.

-17 7/24

Number 2:

-64 7/9 + 22 27/36

Then you find common denominator.

-64 28/36 + 22 27/36

Add.

-42 1/36

3 0
4 years ago
Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. 2 + 2) +​
daser333 [38]
Try using either the app the calculater not like those other ones this calculator can solve fractions and almost any other thing
7 0
3 years ago
Subtract 7x+27x+2 from -5x^2-2x−5x 2 −2x.
kicyunya [14]

Simplified value of  subtraction of 7x+27x+2 from -5x^2-2x−5x 2 −2x. is -10x^{2} -38x-2.

Given Expressions  7x+27x+2 and  -5x^2-2x−5x 2 −2x.

Expressions refers to the combination of numbers, variables and symbols. It represents the relationship between variables. They are solved for finding out the value of variables. It is mainly not in equal to form. Subtraction is possible when subtracting the coefficients of same variable.

We have to subtract 7x+27x+2 from -5x^2-2x−5x 2 −2x. and to do this we need to first solve the expressions itself.

7x+27x+2=34x+2------------------1

-5x^{2} -2x-5x^{2} -2x=-10x^{2} -7x-2x--------------------2

Now subtract 1 from 2

=-10x^{2} -7x-2x-34x+2

=-10x^{2} -38x-2.

Hence the simplified value of subtraction is -10x^{2} -38x-2.

Learn more about expressions at brainly.com/question/723406

#SPJ10

4 0
2 years ago
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