Ferdinand is playing golf. He hits a shot off the tee box that
has a height modeled by the function h(t) = –16t2 + 80t,
where h(t) is the height of the ball, in feet, and t is the time
in seconds it has been in the air. The graph that models
the golf ball's height over time is shown below.
When does the ball reach its maximum height?
What is the maximum height of the ball?
Answers
Answer:
Maximum height of the ball = 100 m
Time to reach the maximum height = 2.5 seconds
Step-by-step explanation:
Function that models the height h(t) of the ball and time 't',
h(t) = -16t² + 80t
Convert this equation into vertex form,
h(t) = -16(t²- 5t)
= -16[t² - 2(2.5t) + (2.5)² - (2.5)²]
= -16[[t² - 2(2.5t) + (2.5)²] + 16(2.5)²
= -16(t - 2.5)² + 16(6.25)
= -16(t - 2.5)² + 100
By comparing this equation with,
g(t) = a(x - h)² + k
Here, (h, k) is the vertex of the parabola.
Vertex of the given parabola will be → (2.5, 100)
Therefore, maximum height of the ball = 100 m
Time taken by the ball to reach the maximum height = 2.5 seconds
Related Questions
A house has increased in value by 35% since it was purchased. If the current value is 648,000, what was the value when it was purchased?
Answers
Answer:
Purchase rate of the house is $480000.
Step-by-step explanation:
Let the purchase rate of the house = $p
Current value of the house = $648000
If the current rate of the house has increased by 35% of the purchase rate,
Current rate = Purchase rate + 35% of the purchase rate
648000 = p + (35% of p)
648000 = p + [tex]p\times \frac{35}{100}[/tex]
648000 = p + 0.35p
648000 = (1.35)p
p = [tex]\frac{648000}{1.35}[/tex]
p = $480000
Therefore, purchase rate of the house is $480000.
Whats the área and circumference of a circle if the radius is 6in?
Answers
Answer:
C≈37.7in
Step-by-step explanation:
Answer:
Hello!
Area: 113.04
Circumference: 37.68
Hope this helps
Brody deposited $500 into a savings account that earns 2.1% simple interest. What is the total amount in his account after 7 years?
Answers
Answer:
73.5
Step-by-step explanation:
Part/whole=percent/100
?/500=2.1%/100
500 divided by 100 is 5, so 2.1% times 5 is 10.5, which is the amount of interest made per year.
So, 10.5 times 7 is 73.5
No links please
The sum of two numbers is 147. The difference of the two numbers is 25.
What are the two numbers? Show your work.
Answers
x + y = 147
x - y = 25
I always found second setting that second equation up was hardest. How do I know which one comes first? You just keep them in the same order as the first math equation.
So let’s solve for x in terms of y:
x - y = 25
x = 25 + y
Then substitute that into your first equation:
x + y = 147
(25 + y) + y = 147
2y = 122
y = 61
x = 25 + y = 25 + 61 = 86
3x + 4 = 5x -10 true or false this equation can be simplified combining like terms to become 8x + 4= -10
Answers
Hiiiooo! Can someone please help me out with this!❤️
Answers
Answer:
8
Step-by-step explanation:
6² + b² = 10²
36 + b² = 100
-36 -36
b² = 64
[tex]\sqrt{64}[/tex] = 8
b² = 8
hope this helps
PLEASE HELP 25 PLUS POINTS!!!THIS IS REALLY IMPORTANT
Answers
Answer: A- 12.5 million
Step-by-step explanation: all you have to do is 125% of 10 million and you get 12.5 million.
Answer:
40 million
Step-by-step explanation:
125% of x
125/100 * x = 1.25x
x+ 10 = 1.25x
(subtract x from both sides)
10 = 1.25x - x
10 = 0.25x
(divide both sides by 0.25)
10/0.25 = x
x= 40
50 pt = ?gal
50 pt = ?pt
PLEASE HELPPPP
Answers
Answer:
50 pints is 6.25 gallons.
What do you mean by the second one?
Step-by-step explanation:
50 ÷ 8 = 6.25
Answer:
50 pints is 6.25 gallons.
50 ÷ 8 = 6.25
Step-by-step explanation:
Of the fifth graders in oak elementary, 6/8 are in band. What fraction of the fifth graders are not in band?
Answers
explanation: because 6/8 plus 2/8 = 8/8
Answer:
2/8 of the fifth graders are not in band
Step-by-step explanation:
To find how many fifth graders are not in band, subtract the # of fifth graders in band. Your difference is the amount of fifth graders that are not in band. To check your answer add 2/8 + 6/8 which should be equal to 8/8 or a whole ( 1 ).
Find the center and the radius of the circle with the equation x^2-4x+y^2-12y+31=0
Answers
Please help, due soon. Use the information provided to write the standard form equation of each circle
Answers
Answer:
The answer is D
Step-by-step explanation:
the standard equation for circle is (x －h)² ＋(y －k)² = r² which h is the x coordinate, k is the y coordinate, r is radius. In this case, both x coordinate and y coordinate are 0, so the left side of the equation is x² + y², since the radius is √249, the r² is 249. So the equation is x² + y² = 249, and the answer is D.
Hope this will help❤️
the width of a rectangle is 2 inches less than its length, and the area is 35 sq inches. what are the length and width of the rectangle?
Answers
Answer:
5 and 7
Step-by-step explanation:
If f(x) =2x+4 and g(x)=1-x, then which of the following represents y=f(x)+g(x)?
Answers
Answer:
y = x +5
Step-by-step explanation:
2x +4 + 1-x = x +5
hope this helps
An expression is shown below.
What is the value of the expression?
Answers
Answer:
1/12
Step-by-step explanation:
1) covert 1/2 to 3/6 to subtract 2/6 from it. this gets 2/6, which simplifies to 1/3
2) divide 1/3 by 4 which gets 1/12
Dylan and his friend Lamar volunteered to bring sandwiches for lunch at a homeless shelter. They bought 8 loaves of bread. Each loaf had 16 slices of bread. The boys used up all the bread to make the sandwiches. They used 2 slices to make each sandwich. How many sandwiches did they make for the shelter?
Thanks For answering!
Answers
Answer:
64 slices
Step-by-step explanation:
The first step to solving this is to find out how many slices of bread there were in total. We know that each loaf of bread had 16 slices, and we know that there were 8 loaves. To get the amount of slices, we multiply the amount of slices in each loaf by the number of loaves there are.
16⋅8=128 slices of bread in total
Now that we know the total number of slices, we need to find how many sandwiches they made. If they used two slices per sandwich, we would divided the total number of bread slices by two.
128÷2=64.
Select all the expressions that are equivalent to 20% of 150.
Answers
Answer:
2 and 3
Step-by-step explanation:
30 is 20% of 150
I hope this helps
Have a great day
I need an answer! NO LINKS! PLS ill give brainlist
Answers
Answer:
c
Step-by-step explanation:
Line d is parallel to line c in the figure below.
Parallel lines d and c are intersected by lines q and p to form 2 triangles. At lines d and p, the angle is 2, at d and q, the angle is 1, and at q and p the angle is 3. At lines c and q, the angle is 4, at p and c, the angle is 5, and the third angle is 6.
Which statements about the figure are true? Select three options.
Vertical angles prove that Angle 2 is congruent to angle 5.
In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Vertical angles prove that Angle 3 is congruent to angle 6.
The triangles are similar because alternate interior angles are congruent.
In the two similar triangles, Angle 2 and Angle 4 are corresponding angles.
The triangles are similar because corresponding sides are congruent.
Answers
Answer: In the two similar triangles, Angle 1 and Angle 4 are alternate interior angles.
Vertical angles prove that Angle 3 is congruent to angle 6.
The triangles are similar because alternate interior angles are congruent.
Step-by-step explanation:
Is 4.53 a real number?
yes or no
Answers
Answer:
yur
Step-by-step explanation:
Answer:
yeah it's a decimal so yes
I need help please!!
Answers
A broker charges 70 per square foot to install windows how much does it cost to install the windows shown
Answers
A numbered dice has sides labeled 1 to 8. What is the probability of landing on a number greater than 3?
Answers
Answer:
5/8
Step-by-step explanation:
Need help please urgent. Correct answers only no links.
Answers
Answer:
the exact answer is 314.159265359
Step-by-step explanation:
but it simplifies to 314.16
8. If v2 = u2+2gs, find the value of s when v = 25,
u= 12 and g = 10.
Answers
Answer:
s = 24.05
Step-by-step explanation:
Given
v² = u² + 2gs ← substitute v = 25, u = 12, g = 10
25² = 12² + (2 × 10 × s)
625 = 144 + 20s ( subtract 144 from both sides )
481 = 20s ( divide both sides by 20 )
24.05 = s
What are the solutions to log6(x^2 + 8) = 1 +log6(x)?
X=-2 and x=-4
X=-1 and x = 8
X= 1 and X=-8
X= 2 and x=4
Answers
x² + 8 = 6x
Answer:
D. x=2 and x=4
Step-by-step explanation:
Hope this helps!! Have a great day!! ❤
In the current year Aveeno reported net income of $50,400which was a 12% increase over prior year net income Compute prior year net income
Answers
Answer:
$45000
Step-by-step explanation:
Given data
Net income =$50,400
Let the prior year income be x
12/100*x +x= 50400
0.12x+x= 50400
1.12x= 50400
x= 50400/1.12
x= $45000
Hence the prior year income is $45000
Lena bought new inline skates for $44.99. The sales tax was $4.13. How much did Lena spend in all for her new inline skates?
Answers
Step-by-step explanation:
Mam nice drawing at your backside Mam nice drawing at your backside
Hey can yall help me
what's 9+10+2=
Answers
Answer:
21
Step-by-step explanation:
: P
Answer:
21
Step-by-step explanation:
umm that's kindergarten math-
The shapes of the horizontal cross-sections of the cylinder below are not all
congruent.
A. True
B. False
SUBMET
Answers
Answer:
False
Step-by-step explanation:
Hey can you help me fast!!
