The height of a ball (in feet) after t seconds is given by the quadratic function h=-16(t-5)^2+116
The ball reaches its maximum height at (blank) seconds.
Answers
Check the picture below, so pretty much reaches its maximum height at the vertex, now let's take a peek at the equation above hmmmm
[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ h(t)=-16(t ~~ - ~~ \stackrel{h}{5})^2~~ + ~~\stackrel{k}{116}~\hfill \underset{maximum~height}{\stackrel{vertex}{(5~~,~~\underset{\uparrow }{116})}}[/tex]
Related Questions
Mr. Jone's algebra class has to manny students in it. If the class were split in equal parts to form 3 new classes, each class would have no more than 14 students in it
Answers
Answer:
42 students in total
Step-by-step explanation:
we could surmise that the question wishes to find the minimum number of students who had been in Mr. Jone's algebra class, so we let 'x' represent the original count of students in the class and we have the following inequality:
14 <= x/3
x >= 42
the class had no less than 42 students
1
What is the quotient of 6 and -1/2?
Answers
Answer:
The answer your looking for is 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
i took the test
help me please ss'” -+=%%
Answers
Answer: 1, 15families, 26cars, Mean 1.7
Step-by-step explanation:2families had no car. 5families had 1 car, 4families had 2cars, 3families Had 3cars, 1 family had 4cars
Total 15families and 26 cars
Modal number of cars is 1, owned by 5families
step by step subtraction Mayan: 208 - 75
Answers
Answer:
133
Step-by-step explanation:
shannon purchased a quilt at the farmers market. the area of the quilt 9 1/3 meters. the width is 2 4/5. what is the length of the rug in meters
Answers
length = 3 1/3 m
hope it helps...!!!
Evaluate 5(a•4)+ b, 1 when a=-andb=12. 3 O A) 14 3 OB) 17 2 O C) 18 3 OD) 27
HELP ASAP
Answers
Evaluate 5(a•4)+ b, when a = 1/3 and b=12
The Answer is
C. 18 2/3hope it's help hshshs
Solve for x: −2(x − 2)2 + 5 = 0 Round your answer to the nearest hundredth.
Answers
Answer:
x = 3.25
Step-by-step explanation:
-2(x - 2) * 2 + 5 = 0
Open parathesis
(-2x + 4) * 2 + 5 = 0
Open parenthesis again
-4x + 8 + 5 = 0
-4x + 13 = 0
-4x = -13
Divide -4 on both sides
x = 13/4
x = 3.25
Answer:
-4x+8+5=0
-4x=-13
4x=13
x= 13/4
x=3.25
1
Select the correct answer.
To solve this system of equations using substitution, what could be substituted in place of y in the first equation
4x=5-2y
y-2x=7
ОА.
7 - 2x
ОВ.
41
5
OC.
5 - 41
2
OD.
2x + 7
Reset
Next
Answers
The expression y = 7 + 2x can be substituted into the first equation to find the variable "x"
System of equationSystem of equation are made of two or more equations with unknowns
Given the system of equation
4x=5-2y
y-2x=7
From equation 2:
y = 7 + 2x
The expression y = 7 + 2x can be substituted into the first equation to find the variable "x"
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Solve the equation. Write your answer as an integer or simplified fraction.
8n−9 n−2 =17
n=
Answers
Answer:
n = - 19
Step-by-step explanation:
8n - 9n - 2 = 17 , that is
- n - 2 = 17 ( add 2 to both sides )
- n = 19 ( multiply both sides by - 1 )
n = - 19
On the last day of each school year, the principal of a middle school records the number of students enrolled. In 2016, there were 960 students enrolled Excem 2016 to 2017, enrollment increased by 5%. From 2017 to 2018, enrollment decreased by approximately 5%. How many students were enrolled in the school at the end of 2018?
A) 864
B) 958
C) 960
D) 1,056
Answers
Answer:
D
Step-by-step explanation:
i hope you uderstand stand why it D
PLEASE HELP I NEED HELP IN THIS GRADE 11 MATH PLS
Answers
Answer:
radius and number rotation
What is the area of this shape?
Answers
Find area of a rectangle and then subtract 2 triangle shapes from the top.
12 x 13 = 156
1/2 x 3 x 7 = 10.5
1/2 x 4 x 6 = 12
area = 156 - 10.5 - 12 = 133.5 square units
Ashley has scored 81, 74, 72, and 93 on her previous four tests. What score does she need on her next test so that her average (mean) is 79?
Answers
Answer:
75
Step-by-step explanation:
Add 81, 74, 72, and 93 together
add 75 to that total
divide by 5
Martin orders a pasta dish that is priced at $11.99. He also orders a drink. The total cost for the pasta and drink is $14.48. Which of the following equations can be used to find the cost of the drink?
Answers
Answer:
14.48=11.99+y
or
y=14.48-11.98
Step-by-step explanation:
it should be one of these (the variable might be different)
y is the price of the drink
Suppose we have already saved $55 towards the cost of a new television set. We plan to save $6 more each week for the next several weeks. i) Write an equation for the total amount T we will have after w weeks from now. ii) Find the total amount that would be saved after 8 weeks.
Answers
Answer:
$103
Step-by-step explanation:
T = 6w + 55
T = 6(8) + 55
T = 48 + 55
T = 103
BRAINLIEST please if this helped!How many solutions are there to the equation below?
√x = -5
A. 2
OB. 1
OC. 0
OD. 25
Answers
A square root cannot be equl to a negative.
answer: C. 0
The box-and-whisker plot below represents some data set. What percentage of the
data values are between 90 and 110?
HELP
Answers
Answer:
25 percent; each section of the box plot counts as 25%
The value of percentage of the data values are between 90 and 110 is,
⇒ 50%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
The box-and-whisker plot below represents some data set.
Now, We get;
Range of data set = 130 - 90
= 40
Hence, The value of percentage of the data values are between 90 and 110 is,
⇒ (110 - 90)/40 x 100
⇒ 20/40 x 100
⇒ 50%
Thus, The value of percentage of the data values are between 90 and 110 is,
⇒ 50%
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Jackie had both chocolate cake and coconut cake at her birthday party. There were 25 people at the party, and 40% of them picked chocolate cake. How many people picked chocolate cake?
AND PLEASE NO LINKS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Austin rented a truck for one day. There was a base fee of 14.95 and there was an additional charge of 95 cents for each mile driven. Austin had to pay 130.85 when he returned the truck. For how many miles did he drive the truck
Answers
Answer:
122 miles
Step-by-step explanation:
Let n = number of miles driven
Given:
Base fee = $14.95Charge per mile = $0.95Total cost = $130.85⇒ 14.95 + 0.95n = 130.85
Subtract 14.95 from both sides:
⇒ 0.95n = 115.90
Divide both sides by 0.95
⇒ n = 122
Therefore, he drove 122 miles.
An odd degree has no maximum or minimum. True or False?
Answers
Answer:
answer is false in my opinion not sure
if x is a positive integer, what is the length of the hypotenuse triangle C?
Answers
Answer:
c = 12.73
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 9^2 = c^2
81 + 81 = c^2
162 = c^2
c = [tex]\sqrt{162}[/tex]
c = 12.7279221
c = 12.73
Mark brainliest please!
-3(6-2)+|-4| Divided by 2
Answers
Answer:
-4
Step-by-step explanation:
3(6-2)+|-4| / 2
=-8/2
=-4
James filled a number of bags with apples when he went apple picking. He recorded the weight of each bag. This line plot shows his results.
How much more does one of the heaviest bags weigh than one of the lightest bags?
Enter your answer as a mixed number in simplest form
Answers
The number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is 5/4.
What is dot plot or line plot?The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axis. The dot plot is also known as the strip plot.
The number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is
James filled a number of bags with apples when he went apple picking. He recorded the weight of each bag. This line plot shows his results.
Note that the value of 1/4 is 0.25 which is less than the value of 1/2 which is 0.5.The value of 3/4 is 0.75.In the line plot, in the 6th section, we get the highest value as 5 1/2. Similarly, the lowest value in the line plot is 4 1/4.
The difference between these values is,
[tex]d=5\dfrac{1}{2}-4\dfrac{1}{4}\\d=\dfrac{5\times2+1}{2}-\dfrac{4\times4+1}{4}\\d=\dfrac{10+1}{2}-\dfrac{16+1}{4}\\d=\dfrac{11}{2}-\dfrac{17}{4}\\d=\dfrac{11\times2-17}{4}\\d=\dfrac{5}{4}[/tex]
Thus, the number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is 5/4.
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What are the vertex, focus, and directrix of the parabola whose equation is y-5= 1/12 (x-3)^2
Answers
Answer:
Vertex: (3,5)
Focus: (3,8)
Directrix: y = 2
Step-by-step explanation:
Get y by itself by adding 5 over to the other side. The equation is now y = 1/12(x-3)^2 + 5.
The value inside of the parentheses is -3. Since it's within the parentheses, switch the signs for the x value of the vertex. The "+ 5" represents the y value. Therefore the vertex is (3,5).
The value "a" on the parabola is 1/12. To find the distance from the vertex to the focus/directrix, use the equation a = 1/4p. 1/12 = 1/4p. p = 3. This parabola opens up, so "p" must be added onto the y value of the vertex for the focus. The focus is therefore (3,8).
For the directrix, subtract "p" from the y value of the vertex. The directrix is a horizontal line at y = 2.
There are 20 train cars and 182 wheels how many wheels per car
Answers
To recheck answer we do 9.1x20 which gives us 182
Which of the following was NOT one of Ghana's chief trading exports?
A. Gold
B. Ivory
C. Horses
Answers
slaves is the correct answer
First seven terms of the geometric series 5 - 25 +125-....
Answers
For each term, you multiply the previous term by 5, alternation between subtracting and adding
How do I solve this on my calculator to get the radius?
Answers
Answer:
step by step lang Po keep learning
what’s the answer to this
Answers
from this year to ten years later, the number of people employed as physician assistants in the country is expected to increase by 47%. the number of people employed as physician assistants today is 69,000. Find the predicted number of physician assistants after ten years
Answers
Answer:
101430
Step-by-step explanation:
69000=100 what about 147%. 69000×147/100=101430