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Marat540 [252]
2 years ago
15

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function

h = −16t2 + 36t + 10. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height?
Mathematics
1 answer:
Aloiza [94]2 years ago
5 0

The ball's maximum height is 30.25 feet.

<h3>What is quadratic equation?</h3>

A quadratic equation in math is a second-degree equation of the form ax² + bx + c = 0. Here a, b, are the coefficients, c is the constant term, and x is the variable.

Given:

h= -16t²+36t+10

Differentiate w.r.t. 't',

h' = -32t+36

When h=0, that will be the maximum height

32t= 36

t= 9/8

t= 1.125 sec.

So, The maximum height is

h(1.123)= -16(1.125)² + 36*1.125+10

h(1.125) = 30.25 feet.

Learn more about this concept here:

brainly.com/question/10335037

#SPJ1

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3.48 rounded to the nearest hundredth
Alex17521 [72]

Answer:

3.48 rounded to the nearest hundredth would be 3 I think

<em>Hope I Helped</em>

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3 years ago
The lines represented by the equations 5y + 2x = –25 and y= -5/2x – 1 are?
Schach [20]

Answer the same

the same line

Step-by-step explanation:

3 0
4 years ago
Ruby weighs 88 lbs. Her weight is 12 lbs. less than half her mother's weight. How much does her mother weigh?
GenaCL600 [577]

88 = m - 12

<u>+ 12       + 12</u>

100 = m

8 0
3 years ago
Read 2 more answers
A= [2, 3; 2, 1], B=[3; 5]. Find AB &amp; BA if possible
oksano4ka [1.4K]

Answer:

The value of AB is \left[\begin{array}{ccc}21\\11\end{array}\right] and it's not possible to multiply BA.

Step-by-step explanation:

Consider the provided matrices.

A=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right], B=\left[\begin{array}{ccc}3\\5\end{array}\right]

Two matrices can be multiplied if and only if first matrix has an order m × n and second matrix has an order n × v.

Multiply AB

Matrix A has order 2 × 2  and matrix B has order 2 × 1. So according to rule we can multiply both the matrix as shown:

AB=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right] \left[\begin{array}{ccc}3\\5\end{array}\right]

AB=\left[\begin{array}{ccc}2\times 3+3\times 5\\2\times 3+1\times 5\end{array}\right]

AB=\left[\begin{array}{ccc}6+15\\6+5\end{array}\right]

AB=\left[\begin{array}{ccc}21\\11\end{array}\right]

Hence, the value of AB is \left[\begin{array}{ccc}21\\11\end{array}\right]

Now calculate the value of BA as shown:

Multiply BA

Matrix B has order 2 × 1  and matrix A has order 2 × 2. So according to rule we cannot multiply both the matrix.

We can multiply two matrix if first matrix has an order m × n and second matrix has an order n × v.

That means number of column of first matrix should be equal to the number of rows of second matrix.

Hence, it's not possible to multiply BA.

5 0
3 years ago
Find the average rate of change over the interval [-1,2] (from x = -1 to x = 2) for the graph below
Lyrx [107]

Hello!

Find the coordinate where x = -1:

At x = -1, y = 1, so the coordinate is (-1, 1).

Find the coordinate where x = 2:

At x = 2, y = -2, so the coordinate is (2, -2).

Find the rate of change between the points using the slope formula:

slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Plug in the coordinates above:

slope = \frac{-2-1}{2-(-1)}

Simplify:

slope = \frac{-3}{3} = -1

Thus, the rate of change between the points is -1.

8 0
3 years ago
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