1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ainat [17]
1 year ago
10

Yea I can do tomorrow it would take me to get the money back to you

Mathematics
1 answer:
Tems11 [23]1 year ago
5 0

Given, the equation that represents the height of an object:

y(t)=100t-16t^2

First, we will find the velocity of the object which is the first derivative of the height using the method of the limits

\frac{dy}{dt}=\lim_{h\to a}\frac{y(3+h)-y(3)}{(3+h)-(3)}

We will find the value of the function y(t) when t = 3, and when t = 3+h

\begin{gathered} y(3+h)=100(3+h)-16(3+h)^2 \\ y(3+h)=300+300h-16(9+6h+h^2) \\ y(3+h)=300+300h-144-96h-16h^2 \\ y(3+h)=156+4h-16h^2 \\ y(3)=100(3)-16(3)^2=156 \end{gathered}

Substitute y(3+h) and y(3) into the expression of the limit

\begin{gathered} \frac{dy}{dt}|_{t=3}=\lim_{h\to a}\frac{156+4h-16h^2-156}{3+h-3}=\lim_{h\to a}\frac{4h-16h^2}{h} \\  \\ \frac{dy}{dt}|_{t=3}=\lim_{h\to a}(4-16h) \end{gathered}

Where a = 0

d) compute the instantaneous velocity at t = 3

\frac{dy}{dt}|_{t=3}=100-16*2*3=4

So, the answer will be:

\begin{gathered} \frac{dy}{dt}|_{t=3}=\lim_{h\to a}(4-16h) \\ a=0 \\  \\ \frac{dy}{dt}|_{t=3}=4\text{  ft/sec} \end{gathered}

You might be interested in
11. The Leonin family used 90 kWh for their electric consumption for the month of
almond37 [142]

Answer:

The electric bill of the Leonin family was of $ 877,626.

Step-by-step explanation:

Given that the Leonin family used 90 kWh for their electric consumption for the month of August, if the power consumption costs P9.7514 per kWh, to determine how much is their electric bill, the following calculation must be performed:

9.7514 x 90 = X

877.626 = X

Thus, the electric bill of the Leonin family was of $ 877.626.

3 0
2 years ago
In a quiz competition, the host asked a question and provided three possible answers. What is the probability that the answer ch
murzikaleks [220]

Answer:

2/3 probability that the answer choice which rohit selects for question is wrong.

Step-by-step explanation:

Completing the question :- what is probability that the answer choice which rohit selects for question is wrong.

Answer :

Since there are 3 possible options provided out of which 1 is correct. So probability of correct answer is 1/3. probability of incorrect answer is 2/3.

So, there is 2/3 probability that the answer choice which rohit selects for question is wrong.

4 0
1 year ago
I was absent when we learned this, please help
Lapatulllka [165]
Part a
For horizontal 8*50% = 4 and for vertical 12*75%= 9.
So these values are less than the originals so the new frame is a reduction.
Part b
For horizontal 8*125% = 8*1.25 = 10 and for vertical 12*140% = 12*1.4 =16.8
So these values are greater than the originals sothe new frame is a enlargement.
5 0
2 years ago
Danielle plans to graph the linear equation 5x-2y=10 by plotting the x-intercept and y-intercept.
lesya692 [45]

x-intercept is (2,0)

y-intercept is (0,-5)

Step-by-step explanation:

Danielle plans to graph the linear equation 5x-2y=10 by plotting the x-intercept and y-intercept.

Finding x-intercept

X-intercept: Substitute 0 for y and then solve for x. Write your answer in the form (__, 0)

Putting y=0

5x-2y=10\\5x-2(0)=10\\5x=10\\x=10/5\\x=2

So, x-intercept is (2,0)

Finding y-intercept

Y-intercept: Substitute 0 for x and then solve for y. Write your answer in the form (0, __)

Putting x=0

5x-2y=10\\5(0)-2y=10\\-2y=10\\y=10/-2\\y=-5

So, y-intercept is (0,-5)

Keywords: Solving Equations

Learn more about solving equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

#learnwithBrainly

4 0
3 years ago
"/54. x6. y12 = 3x²y^"/2
rusak2 [61]

Answer:

The answer is A

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Miranda wants to give her 14-year-old daughter $20,000 when she turns 18. How much does she need to put in the bank now if the i
    6·1 answer
  • Can someone please help me out. I am in need of desperate help and have to leave in one hour! Please help
    7·2 answers
  • X is greater than or equal to -5 and less than 0
    10·1 answer
  • What percent of an hour is `24` minutes?
    11·2 answers
  • Plz :(
    5·2 answers
  • Which boat was farther from the dock at the beginning and which traveled more quickly
    9·2 answers
  • The yearly cost in dollars y for a memever at a video game arcade based on total game tokens purchased x is y=1/10x+60. A nonmem
    11·1 answer
  • Is 5 1/4 divided by 3 1/2 the same as 3 1/2 divided by 5 1/4?
    15·1 answer
  • Find the slope of the line passing through the points (-6, 1) and (-7,5).
    12·2 answers
  • Can someone please help me?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!