Find the slope of this please

Given the height, h , in feet, of the football above the ground after t seconds expressed by h ( t ) = − 8 t^2 + 32 t, the height of the ball on the ground is 0feet.

Substitute h(t) = 0 into the expression and calculate t;

h ( t ) = − 8 t^2 + 32 t

0 = − 8 t^2 + 32 t

8t² = 32t

8t = 32

Divide both sides by 8

8t/8 = 32/8

t = 4s

Hence the football hits the ground after 4seconds

5 0

3 years ago

You conducted a regression analysis between Amount of Wealth in society (x) and the Stock Market Value (y) and the study yielded

Aliun [14]

Answer:

E IS THE CORRECT ANSWER

The R-squared is 0.64 and it means that the dependent value explains 64% of the independent value in the simple regression analysis

Step-by-step explanation:

R-Squared value is a very important indicator in a regression analysis.

What does it measure?

It measures how close to the line of best fit are the data points. How good the fitted line is can be indicated by the value of the r-squared.

The maximum value it can take is 1 and at this value, there is a direct and complete relationship between the independent variable x and the dependent variable y. The value 1 represents an 100% relationship between both parties.

The r-squared has a value of between 0 and 100%. The closer to 100, the better the model while the closer to 100, the more faulty the model is. In fact, a value of 0 indicates no relationship at all between the dependent and the independent variable.

With an R-squared value of 0.64, the regression model works above average to explain that the dependent variable explains 64% of the independent value in the simple regression analysis.

8 0

3 years ago

Simplify the function f(x)= 1/2 (27) 2x/3. Then determine the key aspects of the function

jeyben [28]

The given expression is:

$f(x)= \frac{1}{2}(27)^{ \frac{2x}{3} } \\ \\ 
f(x)= \frac{1}{2}((27)^{ \frac{2}{3} })^{x} \\ \\ 
f(x)= \frac{1}{2}(9)^{x}$

From the above equation, we can answer all the 4 questions.

a) Initial value occurs when x = 0

So,

$f(0)= \frac{1}{2}(9)^{0}= \frac{1}{2}$

So, the Initial value of the function is 1/2.

b) Simplified Base:
The base of an exponential function is the term which contains the exponent.
From the simplified equation, we can see that the base has been simplified and is equal to 9.

So, the simplified base is 9

c) Domain:
From the equation we can see that there is no such value which makes the function undefined. So all reall numbers are included in the Domain.

So, Domain is Set of All real numbers.
In Interval notation this can be expressed as: (-∞,∞)

d) Range:
Range is the set of all y values that a function can take. Since the graph is not shifted vertically up or down, the range will be the set of all real numbers greater than zero.

So, Range is equal to All real numbers greater than 0.
In Interval notation, this can be expressed as (0,∞)

4 0

3 years ago

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Find the slope of this please​

Find the slope of this please