Answer:
484feet
Step-by-step explanation:
If the height as a function of time could be modeled by the function h(t)=−16t^2 +16t+480, where t is the time in seconds and h is the height in feet.
The maximum height of Jason occurs when dh/dt = 0 (velocity is zero)
dh/dt = -32t + 16
0 = -32t + 16
32t = 16
t = 16/32
t = 1/2
t = 0.5secs
Get the maximum height
Recall that h(t)=−16t^2 +16t+480
Substitute t = 0.5
h(0.5)=−16(0.5)^2 +16(0.5)+480
h(0.5) = -4 + 8 + 480
h(0.5) = 4 + 480
h(0.5) = 484
Hence the maximum height reached by Jason is 484feet
The maximum height that Jason reaches is h = 484 feet and it will be reached at t = 0.5 sec.
How to find the maximum of a polynomial function?Let the function be denoted by [tex]y = f(x)[/tex]
If it is twice differentiable, then, firstly, we differentiate it with respect to x and equate with 0 to find the critical values.
Let the obtained critical values be [tex]x_1, x_2, ... x_n[/tex]
The second derivative of that function is then evaluated on those critical values.
The [tex]i^{th}[/tex] critical value has got the maximum if [tex]f''(x_i) < 0[/tex]
That means, if at [tex]x = x_i[/tex] , we get
[tex]f'(x-i) = 0\\and\\f''(x_i) < 0[/tex]
Then that point is where function will have maximum.
If [tex]f''(x_i) > 0[/tex], then the point where the function will have minimum
If value of second rate at point [tex]x_i[/tex] is 0, then we go for third rate of function and check the same facts so on for upper rate(if they exist).
For the given case, we're given the height function as:
[tex]h(t) = - 16t^2 + 16t + 480[/tex]
The function is infinitely differentiable as its polynomial(by a theorem).
Its first and second rate with respect to 't', we get;
[tex]h(t) = - 16t^2 + 16t + 480\\h'(t) = -32t + 16\\h''(t) = -32 < 0[/tex]
Thus, all critical points will be maximum points.
The critical points are evaluated by [tex]h'(t) = 0[/tex]
They are calculated as:
[tex]h'(t) = 0\\-32t + 16 = 0\\t = 0.5 \: \rm sec[/tex]
The height at t = 0.5 s is evaluated as:
[tex]h(0.5) = - 16(0.5)^2 + 16(0.5) + 480 = 484 \: \rm feet[/tex]
Thus, at time 0.5, the height function will be at its maximum value(484 feet). That means, the height of Jason will be maximum when time will be 0.5 seconds from initial time.
Learn more about maximum and minimum values here:
https://brainly.com/question/13333267
Which number on the number line represents the OPPOSITE of -7/2? Select a place on the number line to plot the point.
Answer:
the answer would be 3 1/2
Step-by-step explanation:
if you simplify -7/2 it would be -3 1/2, and the opposite of -3 1/2 is 3 1/2. And from 0-3 there are 6 spaces, so every two spaces counts as 1. Therefore the point would go one spot after positive 3.
Please also include an explanation, I'd appreciate it :-)
Answer:
[tex]30ft[/tex]
Step-by-step explanation:
So, since the scale is 1:5, 1 ft is actually 5 feet.
[tex]6ft=6[/tex]×[tex]5. 6x5=30[/tex]
A 6 ft. Observer cast a 4 ft. Shadow. At the same time the chimney on the Ohio Power Co. Cast an 804 ft. Shadow. How tall is the chimney?
Answer:
1,206 ft
Step-by-step explanation:
6/4 = 1.5 ( proportion 1.5)
804(1.5) = 1,206
what is 47/50 as a percent
94%
47/50 × 100 = 47 ×2 = 94 %
Answer:
94%
Step-by-step explanation:
Basically you need to divide the numerator (47) by the denominator(50). Then after you do that you will find yourself with a decimal of 0.94. lastly multiply your decimal by 100 to get your final answer, which is 94%.
Solve the equation above for X
Answer:
x=4
Step-by-step explanation:
Because 1/8 is a fraction to cancel it out on the x side you have to multiply by 8
8*1/8x=1/2*8
giving you 1x=4
PLSSS HELLLLPPPP. MEEee
Answer:
B
Step-by-step explanation:
Since here, 100x = 1, and since we already have one, we can leave that aside. It would never be d because that is way larger. The second square is 6/100 and since earlier we said 100x = 1, we would have to make an equation. Your answer is B
NEED HELP ASAP (will give 10 points)
Answer:
Overuse of natural resources would not be a benefit, since it isn't a good to overuse something
Look at the equation below.
77 +9y = 4
What is the value of y?
4 -9
B -8.1
с 9
D 21.5
help me please i'll make you brainiest
Answer:
1: 7 4/5 2: 5 1/2 3: 17 13/15
Step-by-step explanation:
Brainliest and 15 points if you get this problem right! NO LINKS= No BRAINLIEST
Answer:
1. Movie B
2. Movie C
3. 40 years old
Step-by-step explanation:
Answer:
Part 1 = Movie B.
Step-by-step explanation:
Part 2. Movie C
Part 3. 40
Please help! I’ll give brainliest
Answer:
D
Step-by-step explanation:
D
What is the ratio of the areas of AABC to AA'B'C' ?
Help please I only have 36 minutes left
According to my official calculations of the picture above, A'B'C' is 4x larger than the triangle ABC. Which would mean that ABC' is from a dialation of 4 from the original triangle, ABC.
I can't remember how you put it into the ratio form, but I think its 1:4??????
-7x + y = -2 in slope-intercept form. what is the y-intercept and slope?
add -7x to the other side so the equation is
y=7x-2
slope is 7
y-int is -2
HI! please help out ASAP this is due today! Explain it the best you can and send a picture explaining it so I won’t get confused. Thank u!
What is the perimeter of this parallelogram?
Answer:
24 mm
10 + 10 + 2 + 2
2 PLEASE HELP! WILL GIVE BRAINLIEST!
Answer:
Area
Step-by-step explanation:
If you are paving the parking lot, you would need every sqaure inch of the parking lot, not only the outside (which is what the perimeter is)
Is 2.36 a rational number?
Answer:
Yes
Step-by-step explanation:
Since it is a terminating (it ends) decimal and could be written as a fraction
In a kindergarden class of 19 students, 100 addition problems can be completed in a mean time of 6 minutes. The
standard deviation is 1 minute.
How many students will finish before 5 minutes?
Answer:
3 students
Step-by-step explanation:
Two ways you can do this:
1. If you have a graphic calculator you can find the normal distribution function and enter the following values to get the probability of a student finished in less than 5 minutes:
Lower: 0
Upper: 5
Standard Deviation: 1
Mean: 6
This gives a probability of: 0.1587 (4.d.p)
2. You can use the formula and find the probability using the Z-table.
[tex]Z = \frac{x - \mu}{\sigma}[/tex]
Substitute known values:
[tex]Z = \frac{5 - 6}{1}\\Z = -1/1 = -1\\[/tex]
It is one standard deviation to the left of the mean,.
Look up on Z-score table and we get: 0.1587 (4.d.p)
Now we need to find expected number. We do this by multiplying the probability by the amount of people:
0.1587 x x19 = 3.0153 rounded to 3 students.
Hope this helped!
Answer:
3
Step-by-step explanation:
The Ferris wheel at a state fair has a radius of 60 feet,
rotates at a constant speed, and completes 1 rotation in
4 minutes. How many degrees does the Ferris wheel
rotate in 30 seconds?
A. 20°
B. 24°
C. 30°
D. 45°
E. 48°
What is the value of in the solution of the
system of equations 3x + 2y = 12 and 5x – 2y = 4?
Answer:
x = 2
y = 3
Step-by-step explanation:
add the 2 together and the y-values drop out and you are left with:
8x = 16
x = 2
3(2) + 2y = 12
2y = 6
y = 3
El Sr. Davis compra 30 entradas para que el club de teatro asista a una obra. Las entradas cuestann dólares cada una, por un total de $360.
¿Cuál ecuación se puede usar para hallar n?
A 30-n=360
B. n=30 = 360
C. 360 x 30 =n
D. 360 x n = 30
OE 30 x n = 360
Cual es ?
Answer:
I think C
hi how are you
gdjdthnd
An altitude is also called the __ of the triangle. One endpoint must be a _____ of the triangle. The altitude creates a ______ ______ with the opposite side of the triangle. FILL IN THE BLANKS
Answer:
do you have answer choices or is this just fill in the blanks ?
Hometown Donuts recently sold 19 donuts, of which 6 were cream-filled donuts. What is the experimental probability that the next donut sold will be a cream-filled donut?
Answer:
13
Step-by-step explanation:
Hometown Donuts recently sold 19 donuts, of which 6 were cream-filled donuts. What is the experimental probability that the next donut sold will be a cream-filled donut?
Write your answer as a fraction or whole number.
-------------------------------------------------------------------------------------------------------------
Remember That The experimental probability is the number of times an event occurs out of the total number of trials.
-------------------------------------------------------------------------------------------------------------
So. Write the experimental probability as a fraction in simplest form: P(Cream-Filled Donuts) = Cream-Filled Donuts over / divided by the total (Cream-Filled Donuts/Total)
-------------------------------------------------------------------------------------------------------------
= 6/19
-------------------------------------------------------------------------------------------------------------So, The Answer Would Be 6/19
This is the right answer, I had the same question ^^
10 points
Are the triangles similar? If so state how you know and pick the correct
similarity statement. *
H
R
T
ATSR -
A) similar, AA similarity; ATGH
B) similar, SAS similarity; ATHG
C) similar, SAS similarity; AHTG
D) not similar
A
Answer:
They are similar however i don't see where the a is at. If you see G would go to S which means H would go to R. I think the answer is B
Step-by-step explanation:
4(8x+6)-2=22
Please help
Answer:
x=0
Step-by-step explanation:
Answer:
0/32
Step-by-step explanation:
4(8x+6)-2=22
32x+24-2=22
32x+22=22
32x=22-22
32x=0
x= 0/32
If x =7/8 cm, y =1/4 cm, and z = 5/8 cm, what is the volume of the rectangular prism above?
Answer:
35/256
Step-by-step explanation:
Assuming x,y, and z are the sides of the prism, then you have to multiply all the sides to the the volume.
Do that, and you get 35/256
I hope this helped, and please mark this as brainliest!
The line plot shows the weights of pumpkins available at a farm stand. The pumpkins cost $0.30 per pound. A line plot named "Pumpkin Weights" shows data from 6 to 14 pounds in intervals of 1 pound. 6 has 3 dots. 8 has 5 dots. 9 has 1 dot. 10 has 7 dots. 12 has 4 dots. 13 has 2 dots. 14 has 1 dot. A baker purchases all of the pumpkins to make pies. If she uses a $100 bill to pay for the pumpkins, how much change will she receive? Enter your answer in the box. $
Answer:
The answer is 32.5
Step-by-step explanation:
First start with (6x3) + ( 8 x 5 ) + ( 9 x 1 ) + ( 10 x 7 ) + ( 12 x 4 ) + ( 13 x 2 ) + ( 14 x 1 ). This equals 225 pounds for all of the pumpkins. The baker buys all of them so multiply 225 by 0.30 since each pound costs 0.30. 225 x 0.30 = 67.5 and the baker pays a 100 dollars so 100 - 67.5 = 32.5. The answer is 32.5.
P.S: I has this same question and 32.5 was correct. PLZ give me Brainliest. Thank you!
An aluminum can has a capacity of 2.37 L. What is the capacity of the can in milliliters?
(1 L = 1,000 mL)
Answer:
2,370 mL
Step-by-step explanation:
1000mL = 1 L, so I multiplied 1000 by 2.37
If they ask for it to be set up as a proportion, I would write 1/1000 = 2.37/x and cross multiply. x = 2,370
help please and ty have a good day ! <3
Answer:
Total square inches glass need = 432 inch square
Meter square paint need = 36.5 meter square
Step-by-step explanation:
Given:
Length of rectangular window = 24 inch
Width of rectangular window = 18 inch
Length of parallelogram = 7.3 meter
Height of parallelogram = 5 meter
Find:
1. Total square inches glass need
2. Meter square paint need
Computation:
Total square inches glass need = Area of rectangle window
Area of rectangle window = l x b
Area of rectangle window = 24 x 18
Area of rectangle window = 432 inch square
Total square inches glass need = 432 inch square
Meter square paint need = Area of parallelogram
Area of parallelogram = Base x Height
Area of parallelogram = 7.3 x 5
Area of parallelogram = 36.5 meter square
Meter square paint need = 36.5 meter square
A writer for a magazine recently did a test to determine which mid-range digital camera takes the best pictures. Her method is described below. Which part of the method describes an area of potential bias? She gathered 20 of the best-selling cameras and used the same photographer to take 100 pictures with each camera. She ensured that the environment and the subject of each picture were consistent across all cameras and used a 10-point scale to determine picture quality. Of the cameras tested, two were from companies who are major advertisers in the magazine.
Answer:
Two were from companies who are major advertisers.
Step-by-step explanation:
Edmentum/ Plato family for the win.
Of the cameras tested, two were from companies that are major advertisers in the magazine.
What is potential bias?Any affiliations, financing, or financial holdings that could be seen as influencing the review's objectivity to give rise to potential bias.
Such elements might consist of, but are not limited to, the following:
Employment, professional associations, paid to consult, and participation in groups that support relevant causes.
Given that:-
She gathered 20 of the best-selling cameras and used the same photographer to take 100 pictures with each camera.
She ensured that the environment and the subject of each picture were consistent across all cameras and used a 10-point scale to determine picture quality.
Of the cameras tested, two were from companies that are major advertisers in the magazine.
The potential bias is In the cameras tested, two were from companies that are major advertisers in the magazine.
To know more about a potential bias follow
https://brainly.com/question/3039092
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