I subtract 3 from a certain number, multiply the result by 5 and then add 9 if the final result is 54. find the original number

Mr. Richard's science class is conducting a variety of experiments with projectiles and falling objects. Two groups of students

12345 [234]

In general, the height of a projectile is given by

 $h= -\frac 1 2 g t^2 + v t + h_0$

where $h$ is the height at time $t$ of a projectile shot upward at velocity $v$ from initial height $h_0$ .

The acceleration of gravity $g= 9.8 \textrm {m/s}^2 \textrm{ or } g=32\textrm{ feet/s}^2.$ We give it a negative sign in the equation because it pulls down.

Let's apply it to each group.

Group A launches a tennis ball straight up with an initial velocity of 19 meters per second.

We have MKS units, positive (upward) velocity and an initial height of 0.

 $h= -\frac 1 2(9.8) t^2 + (19) t + 0 = -4.9t^2 + 19t$

Group B launches a tennis ball straight up with an initial velocity of 50 feet per second. Not metric, velocity +50, initial height zero.

 $h= -16t^2 + 50t$

Group C drops a tennis ball from a height of 19 meters.

MKS, initial height 19, initial velocity zero.

 $h= -\frac 1 2 g t^2 + v t + h_0 = -4.9 t^2 + 19$

Group D drops a tennis ball from a height of 50 feet.

 $h= -16 t^2 + 50$

6 0

4 years ago

Read 2 more answers

Describe a real world problem that uses the expression 29 divided by (3/8 + 5/6).

Westkost [7]

29 divided by (3/8 + 5/6)

24

5 0

3 years ago

What is the value of 5n-3 when n=5?

joja [24]

Answer:

22

Step-by-step explanation:

We are given the expression:—

$\displaystyle \large{5n-3}$

When n = 5, substitute/change n to 5:—

$\displaystyle \large{5(5)-3}$

Evaluate:—

$\displaystyle \large{25-3=\boxed{22}}$

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Summary

Substitution

Changing or replacing from a term to another terms/expression is called substitution.

Examples:—

If we are given the expression $\displaystyle \large{2y-1}$ and we want to find the value when y = 4, simply replace y-term to 4.

$\displaystyle \large{2(4)-1=8-1=\boxed{7}}$

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If you have any doubts regarding my answer/explanation, do not hesitate to ask in comment!

8 0

2 years ago

Get all answers right get brainliest 3. easy multiple choice questions

Airida [17]

Networking for the first one

Researching potential customers wants and needs for the second

Investigate possible solutions to problems

This was an interesting business quiz

4 0

3 years ago

A community college enrolled 96,000 students in 2007, and the enrollment has increased by 7% every year since then. Graph the ex

PtichkaEL [24]

The formula of the function would be:
y = 96000(1.07)^t

The graph is an exponential function with y-intercept of 9600. The curve goes upward indefinitely as the value of time increases.

Therefore, from the choices, the statements that apply to the graph are:
-The graph of the function begins at y = 96,000.
-The graph of the function shows the exponential growth.

5 0

4 years ago