Help! Giving brainliest and 10+ points, A ball is dropped from the top of a 400-ft tall tower. The relationship between the time, t, in seconds, and the height, h(t), in feet, of the ball can be modeled by a quadratic function. Specific values of the function are shown in the table below
Part A: Determine the average rate of change of h(t) between t = 2 and t = 5.
Part B:Explain what this average rate of change means in terms of the context.
Answers
The average rate of change of h(t) between t = 2 and t = 5 is -112. See the explanation below.
What does this average rate of change means in terms of the context?Because the average rate of change is negative it simply means that the slope of the Quadratic function is also negative.
What is the calculation showing the above answer in part A?We are given the following:
When t =2; h(2) = 336
When t = 5; h(5) = 0
Recall that the Average Rate of Change on the interval [a,b] is given as:
[ta - tb]/(b-a)
Since the state interval is [2,5]; and
h(2) = 336; and
h(5) = 0
Hence
ARC = 0-336/5-2
= -336/3
= -112
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Related Questions
Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
A: the x-axis.
B: the y-axis.
C: the line y=6
D: the line x=5.
Please provide the answer and the explanation pls, the explanation is what matters the most. Thank you and have a great day!
Answers
Answer:
A = 12/5 units
Step-by-step explanation:
USING ALGEBRA:
We can find the intersection point between these two lines;
y = 3x - 6
y = -2x + 8
Set these two equations equal to each other.
3x - 6 = -2x + 8
Add 2x to both sides of the equation.
5x - 6 = 8
Add 6 to both sides of the equation.
5x = 14
Divide both sides of the equation by 5.
x = 14/5
Find the y-value where these points intersect by plugging this x-value back into either equation.
y = 3(14/5) - 6
Multiply and simplify.
y = 42/5 - 6
Multiply 6 by (5/5) to get common denominators.
y = 42/5 - 30/5
Subtract and simplify.
y = 12/5
These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.
Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.
Set both equations equal to 0.
(I) 0 = 3x - 6
Add 6 both sides of the equation.
6 = 3x
Divide both sides of the equation by 3.
x = 2
Set the second equation equal to 0.
(II) 0 = -2x + 8
Add 2x to both sides of the equation.
2x = 8
Divide both sides of the equation by 2.
x = 4
The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.
The height of the triangle is 12/5 units.
Formula for the Area of a Triangle:
A = 1/2bh
Substitute 2 for b and 14/5 for h.
A = (1/2) · (2) · (12/5)
Multiply and simplify.
A = 12/5
The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.
1) 21 - 4x = 53
x =
-------------------------------------------
2) 1/5 (x - 4) = -3
x =
--------------------------------------------
what does x equal for each question.
Answers
Answer:
1) X= -8
2) X= -11
Step-by-step explanation:
HELLPP??? i dont understand thisssss
Answers
Answer:
2 out of 11
2/11
unlikely
Step-by-step explanation:
Answer:
2 out of 11 or 2/11
it is not likely that she picks yellow from the bag
Step-by-step explanation:
On a clear summer day at the beach, a lifeguard sees Cameron swimming toward a buoy. He estimates that Cameron is about 60 meters from the buoy. The angle of depression from the lifeguard to the buoy is 12°, and the angle of depression from the lifeguard to Cameron is 42°. What will be the total distance that the lifeguard will need to travel down the tower and then swim to get to Cameron? Round your answer to the nearest meter.
Type in all steps to get full credit for this question. You need to use Algebra "Solve system of equations by Substitution"
Answers
Answer:
Step-by-step explanation:
12+42= 54m
54+60= 114m
he will travel 114m to get the spot
answer this quick please
Answers
Answer:
[tex]84s^{2} t\sqrt{35st}[/tex]
Will give brainliest!!!!!!!!!!! I’m
Answers
median: number in the middle
answer is C! 32
hope it helps
please help math function will mark brainliestt!
Answers
STEP BY STEP:
Answer:
B
Step-by-step explanation
B does not have a function because it doesn't have a set shape or origin
please help me on my math please i dont wanna fail
Answers
Answer:
5. 78.54
6. C
7. 254.47
8. 50.25
Step-by-step explanation: :) Remember, the radius is just half of the diameter. So if the Diameter is 18, the radius is 9.
50 POINTS
( there isn't a picture so don't ask about it )
If mImage of an angle symbol1 = 40°, what is mImage of an angle symbol5?
A. 50°
B. 40°
C. 35°
D. 25°
Answers
Answer:
The answer is C-35
Step-by-step explanation:
Answer:
A...
Step-by-step explanation:
PLZ HELP!!! ILL MARK THE FIRST ONE BRAINLIST
Answers
Answer:
Longitudinal Wave
Step-by-step explanation:
I really don't know how to explain this, it's just the answer.
2w+2l, when w=7, l=5
Answers
Answer:
24
Step-by-step explanation:
all you do dawg is substitute the numbers foe the variables.
youd get 2(7)+2(5)
and dass 24
Answer:
24
Step-by-step explanation:
2w + 2l
2(7) + 2(5)
14 + 10 = 24
PLS HELP ASAP 30 POINTS
Answers
Answer:
1. 80 2. 36
3. less
Step-by-step explanation: hope this helps and can i pls get 30 points
According to the diagram below, In which hemisphere is it NIGHT and SUMMER?
1. NW Hemisphere
2. NE Hemisphere
3. SW Hemisphere
4. SE Hemisphere
Answers
Answer:
NW, Hope this helped!
Gabe goes to the mall. If d is the number of items he bought, the expression 16.62d gives the amount he spent in dollars at one store. Then he spent 26 dollars at another store. Find the expression which represents the amount he spent at the mall. Then estimate how much Gabe spent if he bought 7 items.
Answers
Answer:
1. 16.62d + 26 = m 2. $152.34
Step-by-step explanation:
For the first part of the question you put the unknown variable multiplied by 16.62. Then add 26 which equals an unknown variable. For the second part, I multiplied 16.62 by 7 and added 26.
This equation will give you your answer (:
Respond using complete sentences and math language. Mike told his friend Jacky that 16 + 5 * 2 - 3 = 23. Jacky disagrees, she says that 16 + 5 * 2 - 3 = 39. Who is correct? Explain how you know.
Answers
Answer:
22 hope this help enjoy ya day
Step-by-step explanation:
Help me thank you
Xxxxx
Answers
Answer:
A
Step-by-step explanation:
Please help reward brainliest!!!
Answers
7. The price of a share of stock was $37.50 yesterday. Today there was a price decrease of 4%. What is today’s price?
a. $1.50b. $36.00c. $33.50d. $22.50
Answers
PLS HELP ASAP GIVE BRAINLIEST TO PERSON WHO ANSWER CORRECTLY
Answers
Answer:
their is no image but i hope i get brainliest lol
Step-by-step explanation:
Please find an equivalent expression to 2(n+1)-3
Answers
2n + 2-3
2n - 1
Answer:
2n-1
Step-by-step explanation:
it is the correct answer
A pre-image has coordinates N(2, 3), U(5, -1) and M(4,1). It is dilated using a scale factor of 2 centered at the origin. What
are the coordinates of the image?
A. N'(4,3), U'(10,-1) and M’(8, 1)
B. N'(2, 6), U'(5,-2) and M'(4,2)
C. N'(1, 1.5), U'(2.5, -0.5) and M'(2, 0.5)
D. N'(4, 6), U'(10,-2) and M'(8, 2)
Answers
I have like 15 questions I need help with and this is the second question. So pls help
Answers
Answer:
i think the answer is 2
Step-by-step explanation:
the diagram branches off into two sections from the start that are separate from each other. although there are more sections branching off of the two, there are only two primary branches coming off from the start. i hope this helps, im not good at explaining
What is the elevation of a city 2,456 feet above sea level?
Answers
Answer:
+2,456
Step-by-step explanation:
Good Luck
Write the recursive formula for each geometric sequence
11. 1, 7, 49, 343, ...
Answers
Answer:
11.1,7,49,343, 365
Step-by-step explanation:
plug the answer into the formula i’m not entirely sure this is the answer
Courtney was making a punch board for her son’s birthday party. She cut 4 circles on the board.
She decided to paint the board blue. How much blue paint is she going to need?
480 in²
279.04 in²
200.96 in²
379.52 in²
Answers
Have a nice day :))
what is the circumference in feet of the circular fountain shown 14ft
Answers
Answer:
where's the picture?
Step-by-step explanation:
sorry :(
Answer:
00.7 is the correct answer
Help me plz with these!
Answers
Answer:
1. 6
4. dont know
6. 5
Step-by-step explanation:
The flower appears blue in sunlight. Blue, green, red, yellow, and other colors make up sunlight.
Move the color labels into the blank boxes to show which color(s) the flower absorbs and which color(s) it reflects.
Answers
what is the equation to this pattern
Answers
PLEASE HURRY!!!!!
A horizontal slice through a three-dimensional solid produces the two-dimensional shape below. (The shape is a square)
Which one of the following solids produces this two-dimensional shape when sliced horizontally?
Is it A, B, C, or D????
Answers
Answer:
C
Step-by-step explanation: i am doing same thing you are doing rn
You can use the fact that a horizontal slice is like you're slicing the given shape parallel to ground.
The correct shape which will produce a square when sliced horizontally is ""D" figure which as 4 sides.
What is a square?A square is a closed figure formed by end to end joined equal length four line segments such that all the adjacent lines are perpendicular to each other.
A square has 4 sides.
What is horizontal slicing?Horizontal refers to something that goes parallel to ground level. Of course it depends on from where you see that thing.
When you slice an object horizontally, you cut it parallel to ground.
How to know which of the given solid will produce square?Since a square has 4 equal sides, all perpendicular to each other, we see that only 4th object has 4 sides.
Thus, the fourth solid, named D is the solid that can produce square when sliced horizontally.
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