URGENT! TIMED QUESTION, WILL GIVE BRAINLIEST!
The height of a punted football is modeled by the following quadratic function:
h(t) - -5t2 . 40
where the height is measured in meters after t seconds.
+
a. How many seconds will it take the ball to hit the ground?
c. What is the maximum height of the ball?
Answers
Answer:
Step-by-step explanation:
Part a
When the ball hits the ground it has covered the height of zero meters so we replace h(t) with zero
[tex]h(t)=-5t^2+40t\\0=-5t^2+40t\\40t-5t^2=0\\5t(8-t)=0\\5t=0 \ \ \ , \ \ \ 8-t=0\\t=0 \ \ \ , \ \ \ t=8\\[/tex]
So it will take 8 seconds for the ball to hit the ground we another value
t = 0 seconds is when the ball was thrown and after 8 seconds the balls hits the ground
Part c
The ball reaches its maximum height when the velocity is zero.
So as this functions represents the displacement of the ball h(t) we differentiate it to get the velocity equation, so we differentiate h(t) with respect to t.
[tex]v=-10t+40[/tex]
so now we replace the velocity which is v with a zero because the ball reaches its maximum height when the velocity is zero.
[tex]0=-10t+40\\10t=40\\t=40/10\\t=4[/tex]
so now we insert the value of t = 4 into the equation of h(t) to get the height.
[tex]h(t)=-5t^2+40t\\h(4)=-5(4)^2+40(4)\\h(4)=-80+160\\h(4)=80\\[/tex]
so the maximum height of the ball is 80 meters.
Part d
The y-intercept of the graph is zero, and it represents that there is no initial height covered by the ball or the ball is actually thrown from already a height of x meters, as we can see from the equation the y-intercept is zero which means the height covered by the ball is 0 meters when time is zero.
So the point is actually at the Origin (0 , 0).
Part e
We can see that the origin (0 ,0) and (8,0) are the x-intercepts of the graph as solved from part A
We can see that the stationary point or the maximum point is at (4,80) which means the maximum height of the ball is 80 meters when the time is 4 seconds as solved in part C
Graph attached.
Related Questions
Angle J and angle K are complementary angles. The measure of angle J is 18 less than the measure of angle K. Fine the measure of both angles.
Please and thank you.
Answers
Answer:
Step-by-step explanation:
If J and K are complementary, then J + K = 90. If J is 18 less than K, then:
J = K - 18. Now we have a system. We'll sub in K - 18 for J to the first equation:
K - 18 + K = 90 and
2K - 18 = 90 and
2K = 108 so
K = 54
Now that we know K, we'll sub in to find J:
J + 54 = 90 so
J = 36
MARKING PEOPLE AS BRAINLIST NEED HELP THANK YOUUU
Answers
Answer:
oh thats easy it is C
Step-by-step explanation:
Congruent means it is the same size and shape.
I need the answers to #1-#6 ASAP!
Answers
Answer:
the answer to 1 is 24.5
Step-by-step explanation:
i believe
need help thank you very
Answers
Answer: 40, -16,-9
Step-by-step explanation:
A. -10+30-20+40
-30+70
70-30
40
b -51+35-0
35-51
-16
c. -6+2-8+3
-14+5
5-14
-9
solve the literal equation 2y + 5x = 3x +8 for x
help please I'm on a timed test
Answers
Step-by-step explanation:
Simplifying
5x = 3x + 8
Reorder the terms:
5x = 8 + 3x
Solving
5x = 8 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
5x + -3x = 8 + 3x + -3x
Combine like terms: 5x + -3x = 2x
2x = 8 + 3x + -3x
Combine like terms: 3x + -3x = 0
2x = 8 + 0
2x = 8
Divide each side by '2'.
x = 4
Simplifying
x = 4
Answer:
x = -y + 4
Step-by-step explanation:
2y + 5x = 3x + 8
2x + 2y = 8
2x = −2y + 8
x= −y + 4
Trey recorded the number of ounces of water he drank each day in the histogram below.
Which of the following would be the best measure of variability?
A.
interquartile range
B.
mean
C.
median
D.
mean absolute deviation
Answers
When Trey recorded the number of ounces so the best measure of the variability should be considered as the mean absolute deviation.
What is the mean absolute deviation?The mean absolute deviation refer to the dataset which represent the average distance that lies between every data point and the mean.
It provides the idea related to the variability arise in the dataset.
hence, The best measure of the variability should be considered as the mean absolute deviation.
learn more about mean here: https://brainly.com/question/8870962
The table below shows the amount of flour needed for each recipe. Sort the list below from
greatest to least amount of flour needed per serving.
Cups of Flour
Serving Size
Recipe A
1
Recipe B
Recipe C
를
Recipe D
1 2 3 를
Recipe A, Recipe B, Recipe C, Recipe D
Answers
Answer:
d,c,b,a
Step-by-step explanation:
2+4(x+1)=0 PLEASE HELPPPP ME
Answers
Answer:
I suggest that you use Socratic to solve this.
Step-by-step explanation:
Answer:
[tex]x=\frac{-3}{2}[/tex]
Step-by-step explanation:
[tex]2 + 4 ( x + 1 ) = 0[/tex]
[tex]2 + 4x + 4 = 0[/tex]
[tex]6 + 4x = 0[/tex]
[tex]4x = -6[/tex]
[tex]x = \frac{-3}{2}[/tex]
Which is NOT an example of kinetic energy
Question 8 options:
a skateboard rolling down a hill.
an arrow after it has hit the target and is at rest.
a skydiver as they decrease speed after opening their parachute.
an elevator moving up to the 3rd floor,
Answers
Answer: an arrow after it has hit the target and is at rest.
Step-by-step explanation:
Kinetic energy has to do with energy which a body possesses by virtue of being in motion. The arrow is not in motion anymore
There are 15 marbles in a jar: 4 red, 5 green, and 6 yellow. You select one marble and do not replace it. Then, you select another marble. Determine if these events are independent
Answers
The events of picking marbles from the jar is independent
An event is independent if the occurrence of one event does not depend on another event.
For example, if you toss a coin and it lands on its head. You then flip another coin and it lands on its tail. These two events are independent. The face the second coin lands on do not depend on which face the first coin lands on. Also, the face that the first coin lands on does not depend on which face the second coin lands on.
In this question, after the first marble is picked, you do not return the first marble into the jar. Then you pick a second marble. The colour of the second marble does not depend on the colour of the first marble you picked. This means that the events are independent.
To learn more about independent events, please check: https://brainly.com/question/1393117?referrer=searchResults
HELP PLEASE what's the slope of the line?
Answers
Step-by-step explanation:
The slope of a line characterizes the direction of aline. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
Answer:
the slope of the line would be 1/2 I think
Find the product.
(4x2 + x - 5)(2x + 1)
Answers
Hope this helps
If Oni uses all 3 of the $0.44 cent stamps he has, what
is the minimum number of $0.10 stamps he needs to
use?
Ori needed at least $1.47 in postage to mail an
envelope to his cousin overseas. If x represents the
number of $0.44 cent stamps he has and y represents
the number of $0.10 cent stamps he has the inequality
representing the number of stamps he can use to mail
the envelope is 0.44x+0.1021.47
O 1
O2
O 3
05
Answers
Answer: b
Step-by-step explanation: edge 2020
THE LOOK DOWN PLZ ||
\/
Answers
Answer:
D. Lol is this Ed.genuity?
Step-by-step explanation:
Patrick starts hiking at an elevation of -418 feet. He ascends to an elevation of 387 feet and then descends to an elevation 94 feet higher than where he began. He descends 132 feet. What is the elevation of where he stops hiking?. Single line text.
Answers
URGENT DUE TODAY I WILL GIVE BRAINLIEST I PROMISE
The medians of a right triangle that are drawn from the vertices of the acute angles have lengths of 2 √13 and √73. What is the length of the hypotenuse?
Answers
Answer:
10 units
Explanation:
Anna purchased a new car for $25,000. The car will decrease in value 15% each year.
The value of Anna's car is modeled on the graph by function f where x is the time in years after Anna purchases her car.
Answers
I will assume that we want to find the function that predicts the value of the car after x years, which likely is an exponential decay.
The function is: f(x) = $25,000*(0.85)^x
And the graph can be seen at the end of the answer.
We know that the value of the car decreases by 15% each year, then we can model this with an exponential decay.
The general exponential decay is given by:
f(x) = A*(1 - r)^x
Where:
A is the initial value, then we have A = $25,000
x is the variable, in this case, would represent time in years.
r is the rate of decay, in this case, is the quotient between the percentage that decreases and 100%, so we will get: r = 15%/100% = 0.15
Then the exponential equation is:
f(x) = $25,000*(1 - 0.15)^x
= $25,000*(0.85)^x
This is the function that models the value of the car after x years, the graph can be seen below.
If you want to learn more, you can read:
https://brainly.com/question/19599469
Find the length of the hypotenuse of the right triangle.
40
048
041
None of the other answers are correct
40
26
Answers
Answer:
Ans. 41
Step-by-step explanation:
By using the formula of pythagoras theorem,
h^2 = p^2+b^2
or, h = sqrt(9^2+40^2)
or, h = sqrt(81+1600)
or, h = sqrt(1681)
or, h = sqrt(41^2)
or, h = 41 #
help will get brailiest and lots of points
Answers
Answer:(all negative) 14 13 12 11 10
Step-by-step explanation: sall good
Answer: the domain and range are undefined. The function is continuous.
Step-by-step explanation:
Blake sold 17 verses for $3.25 each he spent $16.21 on materials to make the vases what is the profit
Answers
Answer:
We can calculate what did he get, as we know he sold 17 vasess for 3.25 dollars each of them, we can multiply:
17 * 3.25 = $55.25
Now, we know he got 55.25 dollars but he spent 16.21, so we substract:
55.25 - 16.21 = $39.04
His profit selling that is of 39.04 dollars..
Sara says, "If you subtract 14 from my number and multiply the difference by - 3, the result is – 42."
What is Sara's number?
Sara's number is |
Answers
Answer:
Sara's number is 28
Step-by-step explanation:
Let's assign Sara's number the variable x and solve this equation using the information provided.
"If you subtract 14 from my number"
x - 14
"and multiply the difference by - 3"
-3(x - 14)
"the result is – 42."
-3(x - 14) = -42
Now we can solve from here for x.
-3(x - 14) = -42
x - 14 = 14
x = 28
Find the value of -7 + 3(-12) - (-3)..
0-40
05
0-16
0-19
Answers
Answer: 40
Step-by-step explanation: -7 + 3 (-12) -(3)
-7 - 36 + 3
-40
perform the indicated operation. Be sure the answer is reduced.
2a+1/3a + 5/4 - 2a-3/6a^2
A 23a^2 + 6/12a^2
B -23a^2 + 6/12a^2
C 23a^2 - 6/12a^2
Answers
Answer:
A 23a^2 + 6/12a^2
Step-by-step explanation:
2a+1/3a + 5/4 -2a-3/6a^2
=4(2a+1)+15a/12a - 2a-3/6a^2
=a(8a+4+15a^2)-{2(2a-3)}/12a^2
=8a^2+4a+15a^2-4a+6/12a^2
=23a^2+6/12a^2
Original Equation: -5x + 2 = 5
First Step: --5x = 3
distributive property of multiplication over addition
subtraction property of equality associative property of addition
division property of equality
Answers
Answer:
subtraction property of equality.
Step-by-step explanation:
the change made in the equation is that you subtracted 2 on both sides, which cancels out the 2 on the left and equals the 3 on the right. hope this helps :)
A first grader reads 72 words in 4 minutes.
Pls explain how you got the answer:(
Answers
all you have to do is 4 / 72
Step-by-step explanation:
4÷72
Answer:
18
Step-by-step explanation:
you divide 72 by 4
You have a bag with 6 green marbles, 15 blue marbles, 8 red marbles, 1 yellow
marble. What is the probability of pulling out a green marble?
Answers
Answer:
20%
Step-by-step explanation:
Answer:
6/30 Simplified to 1/5
Step-by-step explanation:
Add the total number of marbles together.
Then put the number of green marbles over the total number of marbles.
Now you want to simplify. 6 is divisible by 6 and equals 1.
30 is also divisible by 6 and equals 5.
Hope this helps.
GIVING BRAINLIEST PLZZ HELP ASAP
Answers
Answer:
D
Step-by-step explanation:
x and y go up at a constant rate (or you can say it has a CROC or constant rate of chacge) y going up 5 for every one x
with our equation being y = 5x + 5
hope this helps <3
Answer:
Step-by-step explanation:
It would be D because to know if its linear, x has to increase by 1 and y by a constant rate.
X increases by 1 and y increases by 5
I've attached a graph for you to see
If you have any further questions, don't be afraid to reach out! I hope this helps!
2x + 3y = -10
5y = 4x - 2
Answers
Answer:
(-2, -2)
Step-by-step explanation:
Answer:
(-2,-2)
Step-by-step explanation:
M a t h w a y
bag of sweets £1.50 per bag, buy 3 get 1 free how many sweets can you buy for £9
Answers
Answer: 8
if you're talking about how many bags of sweets you can BUY, as in without counting the ones you got for free, it's 6. if you're talking how much you GOT, it's 8.
Step-by-step explanation: you can multiply 1.5 times an unknown number to get nine. the unknown number would be the number of bag of sweets you get without the "buy 3 get 1 free" thing. You can reverse the equation to get 9 divided by 1.5 equals 6.
you can then divide 6 by three, which is 2- meaning you got two free bags of sweets. 6 plus 2 is 8.
Answer:
8 I believe
Step-by-step explanation:
1.50 x 3 = 4.50 so for 4 bags you need 4.50
1.50 x 6 = 9 but you can't forget about the buy 3 get 1 deal
you bought 6 which is two times 3 so would get two free
6+2= 8
I apologize if I didn't explain it enough or got it wrong
there are 36 carpenters in a crew. On a certain, 29 were present. What percent showed up for work? (round to the nearest tenth)
Answers
Answer:
30
Step-by-step explanation: