All of the following are equivalent, except ____

The height H metres of a ball projected upwards t seconds after being projected is given by H=64t - 16t². Find it's initial velo

nordsb [41]

Answer:

initial velocity = 64 m/s

Step-by-step explanation:

Differentiate H = 64t - 16t² to find an equation for velocity:

Velocity = $\frac{dH}{dt}$ = 64 - 32t

Initial velocity (u) is when t = 0:

u = 64 - 32(0)

⇒ u = 64 - 0

⇒ u = 64 m/s

4 0

2 years ago

drag each expression to the correct location on the graph and equation. not all expressions will be used. complete the given dia

Svetllana [295]

What we have here in the picture is a graph of a segment. The goal is to find the segment's length, which we can do by using the distance formula:

$d^2=(x_2-x_1)^2-(y_2-y_1)^2$

Note that the distance between two points is equal to the length of the line segment that joins them.

So now we already have answers for two of the boxes.

The difference in the x-coordinates gives us the horizontal distance between the two points, while the difference in the y-coordinates gives us the vertical distance between the points.

So, the other two boxes should contain:

5 0

1 year ago

The 40-ft-long A-36 steel rails on a train track are laid with a small gap between them to allow for thermal expansion. Determin

Oksana_A [137]

Answer:

um hola

Step-by-step explanation:

7 0

3 years ago

Determine which of the lines are parallel and which of the lines are perpendicular. Select all of the statements that are true.

grandymaker [24]

Answer:

Lines a and b are parallel

Lines a and c are perpendicular

Lines d and c are perpendicular

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Part 1) Find the slope of Line a

we have the points

(-3,4) and (3,6)

substitute in the formula

$m=\frac{6-4}{3+3}$

$m=\frac{2}{6}$

simplify

$m_a=\frac{1}{3}$

Part 2) Find the slope of Line b

we have the points

(-10,-3) and (-8,3)

substitute in the formula

$m=\frac{3+3}{-8+10}$

$m=\frac{6}{2}$

$m_b=3$

Part 3) Find the slope of Line c

we have the points

(0,5) and (3,-4)

substitute in the formula

$m=\frac{-4-5}{3-0}$

$m=\frac{-9}{3}$

$m_c=-3$

Part 4) Find the slope of Line d

we have the points

(4,-7) and (13,-4)

substitute in the formula

$m=\frac{-4+7}{13-4}$

$m=\frac{3}{9}$

simplify

$m_d=\frac{1}{3}$

Part 5) Compare the slopes

Remember that

If two lines are parallel then their slopes are the same

If two lines are perpendicular then their slopes are opposite reciprocal

we have

$m_a=\frac{1}{3}$

$m_b=3$

$m_c=-3$

$m_d=\frac{1}{3}$

therefore

Lines a and b are parallel (slopes are equal)

Lines a and c are perpendicular (slopes are opposite reciprocal)

Lines d and c are perpendicular (slopes are opposite reciprocal)

6 0

3 years ago

The present value of $100 to be received 10 years from today, assuming an opportunity cost of 9 percent, is

Alona [7]

An opportunity cost of 9 percent, is $42.

We have given that,

The present value of $100 is to be received 10 years from today,

assuming an opportunity cost of 9 percent,

present value =$100

N=10 years

I/y=9

<h3>What is the formula for the present value?</h3>

PV= FV/(1+r)^n

Where FV is the future value.

Use the given values in the formula we get,

Therefore the correct answer is 42.

To learn more about the present value visit:

brainly.com/question/20813161

#SPJ1

7 0

1 year ago

All of the following are equivalent, except _____.