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2 years ago

A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is

Mathematics

1 answer:

Degger [83]2 years ago

6 0

Answer: So the ball hits the ground 4.06 secs after it's kicked.

Step-by-step explanation:h(t)= -16t^2 +64t +4

h(t)= -4( 4t^2 -16t -1) so a=4 b=-16 c=-1

Use Quadratic Formula: x=( -b+/- (b^2-4ac)^1/2)/ 2a

(16+/- ( 256-(4)(4)(-1))^1/2)/8= (16 +/- (272)^1/2)/8

x= (16+/-16.49)/8 ---->x=32.49/4= 4.062 sec

x=(16-16.49)/8 -----> x= -0.49/8= -0.06

So the ball hits the ground 4.06 secs after it's kicked.

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Find "both" answers

Eva8 [605]

Answer:

Please check the explanation!

Step-by-step explanation:

Finding the slope:

Taking two points to find the slope of the linear function

(2, 10)

(3, 13)

Slope = m = y₂-y₁ / x₂-x₁

= (13-10) / (3-2)

= 3 / 1

= 3

Thus, the slope = m = 3

Finding the common difference between consecutive terms of the arithmetic sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3, d=16-13=3, d=19-16=3

Thus, the common difference between consecutive terms of the arithmetic sequence is:

d = 3

Finding the difference between the terms a₂ and a₄

a₂ = 13

a₄ = 19

The common difference between a₂ and a₄ = 19 - 13

= 6

Thus, the common difference between a₂ and a₄ = 6

Find the common difference of the Arithmetic Sequence

Given the sequence

10, 13, 16, 19

d = 13-10=3, d=16-13=3, d=19-16=3

As the common difference between all the adjacent terms is the same. Thus, the common difference of the Arithmetic will be: d = 3

RESULT

From the above calculations, we conclude that:

Slope = 3

The common difference between consecutive terms of the arithmetic sequence = 3

The difference between the terms a₂ and a₄ = 6

The common difference of the Arithmetic Sequence = 6

Thus,

The answer to the ''different'' question is: 6

The answer to the ''same'' three questions: 3

8 0

2 years ago

3/4 x 5/6 equals what

SVETLANKA909090 [29]

Answer:

5/8

You just have to multiply the bottom and the top then simplify

7 0

3 years ago

7f=49 i need help fasttttttttt

malfutka [58]

Answer:

f = 7

Step-by-step explanation:

7f = 49

Divide each side by 7

f = 7

7 0

2 years ago

Read 2 more answers

Given that D(x) = 2x, select all of the following that are true statements

Keith_Richards [23]

Answer:

D(x) is a function

D(x) is a direct variation

D(x) is a rule for the set of points (5.10). (6, 12) and (-2,-4)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem

$D(x)=2x$

D(x) is a direct variation (linear function)

The variable x is the independent variable or input value

The variable D(x) is the dependent variable or output value

Verify each statement

case 1) D(x) is a function

The statement is true

see the explanation

case 2) x is the dependent variable

The statement is false

The variable x is the independent variable or input value

case 3) D(x) is a direct variation

The statement is true

see the explanation

case 4) D(x) is a rule for the set of points (5.10). (6, 12) and (-2,-4)

The statement is true

Because

For x=5

substitute in the linear equation

$D(x)=2(5)=10$ ---> is ok

For x=6

substitute in the linear equation

$D(x)=2(6)=12$ ---> is ok

For x=-2

substitute in the linear equation

$D(x)=2(-2)=-4$ ---> is ok

6 0

3 years ago

A square billboard has an area of 625 ft squared. What is the length of the side of the billboard?

goldenfox [79]

Answer:

figured it out is 25

Step-by-step explanation:

hope this helps:)

3 0

2 years ago