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
mafiozo [28]
2 years ago
13

An object is launched upward at 64 ft/sec from a platform that is 80 feet high. What is the objects maximum height if the equati

on of height (h) in terms of time (t) of the object is given by h(t) = -16t2 + 64t + 80?
Mathematics
1 answer:
Free_Kalibri [48]2 years ago
4 0
Max height is the vertex
convert to vertex form (y=a(x-h)^2+k) by completeing the square

h(t)=-16(t²-4t)+80
h(t)=-16(t²-4t+4-4)+80
h(t)=-16((t-2)²-4)+80
h(t)=-16(t-2)²+64+80
h(t)=-16(t-2)²+144

vertex is (2,144)
at t=2, the height is 144

max height is 144ft
You might be interested in
What is the rate of change in the y-values with respect to the x values
Aleks [24]

Answer:

the average rate of change in y with respect to x over the interval is 7. that is, for every single unit by which x changes, y on average changes by 7 units.

Step-by-step explanation:

8 0
2 years ago
4 less than the product of 8 and a number is equal to 6​
ICE Princess25 [194]
5 I think that should
4 0
3 years ago
Read 2 more answers
Find the sum of the arithmetic sequence. 5,7,9,11,...,23
eduard

Answer:

140

Step-by-step explanation:

The arithmetic series is 5, 7, 9, 11, ........., 23.

First u have to determine the no. of terms that can be done by using

Tₙ = [a + (n - 1)d]

Tₙ-------nth term

a---------first term

n---------no.of terms in the series

d---------common difference

here a = 5,d = 2.

let it contain n terms Tₙ= [a + (n-1)d]

Substitute Tₙ, a, and d in the equation

23 = 5 + (n - 1)2

Subtract 5 from each side.

18 = (n-1)2

Divide each side by 2

(n - 1) = 9

Add 1 to each side

n = 9 + 1 = 10

The sum of the arithmetic sequence formula: Sₙ= (n/2)[2a+(n-1)d]

Substitute Sₙ, a, n and d in the equation

Sₙ= (10/2)[2(5) + (10-1)2]

Sₙ= (5)[10 + (9)2]

Sₙ= 5[10 + 18]

Sₙ= 5[28] = 140

Therefore the sum of the arithmetic sequence is 140.

6 0
2 years ago
Rapid Rental Car charges a $30 rental fee, $15 for gas, and $0.65 per mile driven. For the same car, Capital Cars charges $35 fo
andreev551 [17]

You gave me numbers but forgot the question. Without a question there is no answer.

5 0
3 years ago
Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come f
AlladinOne [14]

Answer:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

\hat p=0.64 estimated proportion of interest

p_o=0.5 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic

p_v represent the p value

System of hypothesis

We want to verify if the true proportion is higher than 0.5:  

Null hypothesis:p =0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.64 -0.5}{\sqrt{\frac{0.5(1-0.5)}{75}}}=2.43  

Now we can calculate the p value with the following probability:

p_v =P(z>2.43)=0.0075 \approx 0.008  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5

7 0
3 years ago
Other questions:
  • The set of ————— consists of counting numbers, their opposites, and zero.
    12·2 answers
  • I need help what is the right answer
    12·1 answer
  • Find the length of the hypotenuse.
    7·1 answer
  • If Jaime wants to find 60% of 320, which table should he use?
    14·2 answers
  • Kendra dives off of a diving board into the water and then comes back up to the surface. Her dive can be modeled by the equation
    11·2 answers
  • Simplify hshwhebhsjsbshs
    11·1 answer
  • 8) 3(2x+1) = ?*<br> O 6x + 3<br> 5x + 1<br> 5x + 3<br> 6x + 1
    7·2 answers
  • If a number is divided in half and the answer is multiplied by 6, how does the final answer compare to the original number?
    15·1 answer
  • Which of the following indicates the subtraction property of equality when solving the equation 86 – 2 (9x + 4) = 12x + 18?
    6·1 answer
  • Which point is (3,0)?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!