he baseball team pitcher was asked to participate in a demonstration for his math class. He took a baseball to the edge of the roof of the school building and threw it up into the air at a slight angle so that the ball eventually fell all the way to the ground. The class determined that the motion of the ball from the time it was thrown could be modeled closely by the function
h(t)=16t^2+64t+80
Where h(t) represents the height of the ball in feet after t seconds.
1. By looking at the equation, how can you determine whether the function has a maximum or a minimum value? (1 point)
2. Find the maximum or minimum value of the function algebraically. After how many seconds did the ball reach this value? Show how you found your answers. (2 points)
3. Evaluate h(0). Explain this value in the context of the problem. (1 point)
4. How long is the ball in the air? Justify your answer. (2 points)
5. State the domain of the function in interval notation, and explain the restrictions on the domain based on the context of the problem. (2 points)
Please Help
A manufacturer is interested in creating a new item. His research team starts with a model consisting of the functions =−3(+2)2+3
, y = - 3 and y = 0.
Where is an asymptote?
Answer:
x= -2
Step-by-step explanation:
Joshua invested $750 in an account paying an interest rate of 3\tfrac{1}{4}3 4 1 % compounded quarterly. Josiah invested $750 in an account paying an interest rate of 2\tfrac{5}{8}2 8 5 % compounded annually. After 18 years, how much more money would Joshua have in his account than Josiah, to the nearest dollar?
Answer:
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Step-by-step explanation:
Giving the following information:
Joshua:
Initial investment (PV)= $750
Interest rate (i)= 0.0341/4= 0.008525
Number of periods (n)= 18*4= 72 quarters
Josiah:
Initial investment (PV)= $750
Interest rate (i)= 0.0285
Number of periods (n)= 18 years
To calculate the future value of each one, we need to use the following formula:
FV= PV*(1 + i)^n
Joshua:
FV= 750*(1.008525^72)
FV= $1,381.98
Josiah:
FV= 750*(1.0285^18)
FV= $1,169.74
Due to the difference in the interest rate and the quarterly compounding, Joshua will have $212.24 more than Josiah.
Answer:
delta math says answer is 100
Step-by-step explanation:
find value of x please
Answer:
144º
Step-by-step explanation:
In a octagon there are 8 total sides. And the angles added up all together should equal 1080º.
136 + 132 + 129 + 116 + 158 + 141 + 124 = 936
1080 - 936 = 144
x = 144º
Find the value for x.
Answer:
x=14/3 in.
Step-by-step explanation:
The trapezoids are similar, so their proportions of corresponding sides are the same
7/3=x/2
14=3x
x=14/3
can anyone help me please :)
Answer: B
Step-by-step explanation:6+4+5+3+8=26
26-6=20 20/26=10/13
estimate the perimeter of the figure
Answer:
around 18 units
Step-by-step explanation:
Find the area of this circle. Use
3.14 for a
92 ft
The area of the circle is about
ft.
NO LINKS!! HELPP ME QUICK PLSS IM TRYING TO GRADUATE PLS HELP ME OUT Which of the following equations describes the line shown below? Check all
that apply
(1,-5) (-4,5)
Answer:
any equation that is equal to 2x - 3
Step-by-step explanation:
Ethan spent 12.5% of the money in his pocket on dinner. His dinner cost $15.25. How much did he have in his pocket? Group of answer choices $102.00 $172.36 $190.63 $122.00
Answer:
$122
Step-by-step explanation:
Let total money in his pocket = $ x
12.5% of x = $ 15.25
[tex]\frac{12.5}{100}*x= 15.25[/tex]
Multiply both sides by 100
12.5 *x = 15.25*100
125.5 *x = 1525
Divide both sides by 125.5
[tex]x = \frac{1525}{12.5}\\\\[/tex]
x = $ 122
helpppppppppp plssss and tyyyy
Answer:
27Step-by-step explanation:
I tried each number until it was correct. If you do not trust me you can try eacj value as well
A local hamburger shop sold a combined total of 711 hamburgers and cheeseburgers on Monday. There were 61 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Monday?
Answer:
772 sold in monday
Step-by-step explanation:
add the problem
Castel and Chelsea are selling pies for a school fundraiser. Customers can buy cherry pies and lemon meringue pies. Castel sold 1 cherry pie and 5 lemon meringue pies for a total of $69. Chelsea sold 5 cherry pies and 7 lemon meringue pies for a total of $129. Find the cost each of one cherry pie and one lemon meringue pie.
Answer:
the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively
Step-by-step explanation:
The computation of the cost of one cherry pie and the lemon meringue pie is shown below:
Let us assume the cherry pie be x
And, the lemon meringue pie be y
So according to the question
x + 5y = $69
5x + 7y = $129
Now multiply by 5 in the equation 1
5x + 25y = $345
5x + 7y = $129
18y = $216
y = $12
And, x would be
x + 5($12) = $69
x = $9
Hence, the cost each of one cherry pie and one lemon meringue pie is 9 and $12 respectively
HELP PLS GIVING BRAINLIEST
A pet store is having a pet fish sale. Mrs. Smith bought koi and paid with a $50 bill. Write an algebraic expression to represent how much change Mrs. Smith got back. PS the koi fish cost $7
Step-by-step explanation:
y = 50 - 7x
since each fish cost 7 this equation works no matter how many fish she buys.
Are you from Tennessee cause your the only 10 I see... respond pls I’m desperate...
Answer:
sheeeeeesh
Step-by-step explanation:
Help me with this please. .. . . . .
Answer:
Se attached
Step-by-step explanation:
Solution is in the picture
Find X ( please explain how)
Answer:
90
Step-by-step explanation:
(5-2)x180= 540 formula to find the sum of interior angles of a polygon
180-70 = 110 lower right angle
180 -60 = 130 lower left angle
110+130+120+90= 450 all known angles sum
540-450 = 90 total minus known gives you x
What is the value of y?
Enter your answer in the box.
y= ??
Answer:
64
Step-by-step explanation:
total of a triangle adds up to 180 degrees
so:
76+37=116
180-116=64
Write the mixed number 6 and 1/40 as a decimal
Answer:
Step-by-step explanation:
1/40 as a decimal is 0.025.
fraction would be: 6 1/40
decimal would be: 6.025
In a Geometry class, Rosalie draws two circles on the coordinate grid as shown. She asks her students to prove that the two circles are similar.
Describe the transformation that maps circle C onto circle A?
Answer:huhhh
Step-by-step explanation:
Yh
Katie noticed that many of the students at her school ate fruit during lunch. She randomly chose 30 students and found that 18 of them ate fruit during lunch. If Katie sample is representative, which of the following is closest to the number of 1,560 students at her school who eat fruit at lunch?
Answer:
52 / 1,560
Step-by-step explanation:
18 / 30
? / 1,560
1,560 / 30 = 52
52 / 1,560
Pls answer and explain
Answer:
13364 cm³
Step-by-step explanation:
Lets Find the area of the trapezoidal face
Base 1 = 15
Base 2 = 37
Height = 25.7
Formula for area of trapezoid
(b1+b2)h/2
Lets Input
(15+37)25.7/2
1336.4/2 = 668.2
Now lets multiply by 20, or the length
668.2 x 20 = 13364
Note we could have saved time by multiplying 1336.4 x 10 because 20/2 = 10
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
help please. !!!! help please. !!!! help please. !!!!
Answer:
1=8
2=25
3=isosceles
4=no traingle can be formed
Marco picked answer A for the following problem. Why is that not the correct answer?
This is a question about Factoring polynomials
-14^4+5x^2
Answer:
Can't Factor
Step-by-step explanation:
This is no solution.
Solve the system of equations graphically 3x-y=4, 2y+x=6
Answer:
y=2 x=2
Step-by-step explanation:
x = -2y + 6
3•(-2y+6) - y = 4
- 7y = -14
7y = 14
y = 2
x = -2y+6
y = 2
x = -2(2)+6 = 2
x=2
Step-by-step explanation:
solve for y in both equations
3x-y=4subtract 3x from both sides
-y=4-3x
multiply the equation by -1
y=-1(4-3x)
2y+x=6subtract both sides by x
2y=6-x
divide both sides by 2
y=(6-x)/2
Now set the y values equal to each other-1(3x-4)=(6-x)/2
-3x+4=(6-x)/2
multiply both sides by 2
-6x+8=6-x
add 6x to both sides and subtract 6 to both sides
2=x
put 2 back into x for y=(6-x)/2
y=2
Hope that helps :)
Hello, can someone explain/answer these?
You don't have to do both of them
Answer:
#1= 5x5=25
25x the amount of squares= 25x6= 150cm^2
#2= 1.5x2.6= 3.9ft.
3.9xamount of right angle triangles= 3.9x8=31.2ft^2
(^2 means squared)
An aquarium holds 11.35 cubic feet of water, and is 2.8 feet long and 1.5 feet wide. What is its depth? Round your answer to the nearest whole number.
Answer:
3 feet
Step-by-step explanation:
the volume of the aquarium is V= Lx wx H
it is as of now given that V=11.25 cubic feet, so 11.25=LxWxH
H tallness and it is the aquarium's profundity
H=11.25/L xW= 11.25/2.5x1.5= 3 feet
Answer:
The depth is 3 ft
Step-by-step explanation:
The equation for volume is V = length * height * depth
change the equation for depth
depth = volume / (length * height)
fill the equation and solve
depth = 11.35 / (2.8 * 1.5)
depth = 11.35 / 4.2
depth = 2.70238095 rounded to 3
Area of a triangle what is the answer
Answer:
The answer is 28cm²
Step-by-step explanation:
You have to find the length and height and divide that by 2. 8x7=56 and 56/2=28
Answer:
28 cm²
Step-by-step explanation:
[tex]AreaOf Triangle= 1/2(b*h)[/tex]
Base = 8
Height = 7
1/2(8*7)
1/2(56) = 28
28 cm²
Pls correct me if I am wrong
If my answer is correct, and my explanation is good, mark me as brainliest!
-Chetan K
HELP!! ASAP!! NO FILES!! (will report if do) THX!!
Answer:
A is the correct answer
please tell me if I'm wrong