a. The height of the ball after four seconds is 640 ft
b. The time the ball reachs a height of 768 ft is 6 s or 8 s.
c. The time the ball reachs the ground after it is thrown is 14 seconds.
Since the height of the ball is a parabola, we need to know the equation parabola is
What is a parabola?A parabola is an equation of the form x(t) = at² + bt + c
a. Height of the ball after four secondsThe height of the ball after four seconds is 640 ft
Since the height of the ball is represented by the equation h(t) = -16t² + 224t. The height of the ball after four seconds is when t = 4.
So, h(t) = -16t² + 224t.
h(4) = -16(4)² + 224(4)
h(4) = -16(16) + 224(4)
h(4) = -256 + 896
h(4) = 640 ft
The height of the ball after four seconds is 640 ft
b. How long will it take the ball to reach a height of 768 ft?The time it takes the ball to reach a height of 768 ft is 6 s or 8 s.
To find this time, we substituie h = 768 into the equation for the height of the ball.
So, h(t) = -16t² + 224t
768 = -16t² + 224t.
16t² - 224t + 768 = 0
t² - 14t + 48 = 0
Using the quadratic formula, we find t
[tex]t = \frac{-(-14) +/- \sqrt{(-14)^{2} - 4 X 1 X 48} }{2 X 1} \\t = \frac{14 +/- \sqrt{196 - 192} }{2}\\t = \frac{14 +/- \sqrt{4} }{2}\\t = \frac{14 +/- 2 }{2}\\t = \frac{14 + 2 }{2} or t = \frac{14 - 2 }{2}\\t = \frac{16}{2} or t = \frac{12}{2}\\t = 8 or 6[/tex]
So, the time it takes the ball to reach a height of 768 ft is 6 s or 8 s.
c. How long after you throw the ball will it return to the ground?The time it takes the ball to reach the ground after it is thrown is 14 seconds.
To find the time it takes the ball to reach the ground, the height, h = 0.
So, h(t) = 0
-16t² + 224t = 0
-16t(t - 14) = 0
t(t - 14) = 0
t = 0 or t - 14 = 0
t = 0 or t = 14 s
So, the time it takes the ball to reach the ground after it is thrown is 14 seconds.
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Find the distance between points (3,6) and (9,2)
Answer:
A=(3,6)
B =(9,2)
The distance between AB=√(9-3)^2+(2-6)^2
=3√13
Gina pays $0.50 ecah time she plays a carnival game. The game is on a spinner with 12 equal sized sections labled 1 through 12. she wins a prize if the pointer lands 3,5 or 7. If gina spends $4 playing the game, predict the number of prizes she can expect to win
Answer:
Two
Step-by-step explanation:
3,5 or 7 out of possible 12 spins
3 / 12 of the time she will win
$ 4 is 8 spins
8 spins * 3/12 = 2 wins
ANSWER
2 prizes
Step-by-step explanation:
$4 ÷ $0.5 = 8
Total points on spinner = (1,2,3,4,5,6,7,8,9,10,11,12)
Required for winning = (3, 5, 7)
5+7 = 12
3/12
P(win) = 3/12 simplified is 1/4
(1/4) × (8) = 2
Therefore, the answer is two prizes
(10 times 2) + 5 times 8 =
Please explain thank you
Answer:
14x15-10x10=110
A=110
Step-by-step explanation:
Answer:
First, we'll need to find the length of each side.
10m + 4m = 14m
10m + 5m = 15m
Now that we know the length of 2 sides, let's call them the "North" and "West". The measure or length of "South" is the same as "North" and the measure or length of "East" is the same as "West".
To find the Area of the WHOLE square, we'll need to multiply both lengths.
14 × 15 = 210m^2
To find the area of the given figure:
1. Find the Area of the 10m of the "North" and the 10m of the "West".
10 × 10 = 100m^2
2. Minus the Area of the product of 10m of the "North" and the 10m of the "West" from the Area of the WHOLE square.
210m^2 - 100m^2 = 110m^2
The area of the given figure is 110m^2.
Hope it helps you! ^^
A cylinder has a radius of 11 cm. The height
is 9 cm. What is the volume of the cylinder?
Answer:
621.72
Step-by-step explanation:
The explanation is that the formula is V=2HπR
Multiply all of that and you get your answer of 621.72
Jesse earns 9 each time he washes a car. He wants to buy a game that costs 30 How many cars does, Jesse need to wash to earn enough money to buy the game?
Answer:
Jesse would need to wash four cars.
Step-by-step explanation:
9 times 4 is 36, so Jesse would need to wash 4 cars, and if he washed only 3 cars, you would do 9 times 3 which would get you to 27, which is too little for the game he wishes to buy.
Please help need to get it done in 10 minutes.Thank you
There are 12 inches in a foot.
Complete the table.
Inches: 12, ___, 60, 108
Feet: 1, 3, ___, ___
Answer:
Inches: 12, 36, 60, 108
Feet: 1, 3, 5, 9
Step-by-step explanation:
Inches: 12, 36, 60, 108
Feet: 1, 3, 5, 9
3*12 = 36
60/12 = 5
108/12 = 9
Please help………………………..
Answer:
(a) sin⁻¹(√35/14)
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relations between sides and angles in a right triangle. Here, the given sides AB and AC are the side opposite angle C, and the hypotenuse (opposite right angle B). That means the relevant relation is ...
Sin = Opposite/Hypotenuse
sin(C) = AB/AC
__
For this problem, substituting values gives ...
sin(C) = (3√5)/(6√7) = (1/2)√(5/7) = (1/2)(√35)/7 = (√35)/14
C = arcsin((√35)/14)
_____
Additional comment
Choice B can be eliminated on the grounds that the fraction is not reduced to lowest terms. Choices C and D are eliminated because they assume a cosine relation is involved. That is, you can choose the correct answer based on SOH CAH TOA without concerning yourself with the details of the radical expression.
This is very confusing to me
Answer:
the system is inconsistent
also ,Check the attached graph
Step-by-step explanation:
let D₁ be the line of equation 3x - 9y = 36
D₂ be the line of equation 2x - 6y = -8
In order to graph D₁ we need to find two point shot that lie on it.
→ If x = 0 , 3(0) - 9y = 36 ⇔ -9y = 36 ⇔ y = -4
Then the point C(0 , -4) lies on D₁
→ If x = 3 , 3(3) - 9y = 36 ⇔ -9y = 27 ⇔ y = -3
Then the point D(3 , -3) lies on D₁
Therefore,
D₁ is the line that connects the points C and D
Similarly,We can prove that the point she A(-4 , 0) and B(-1 , 1) lie on D₂
Then D₂ = (AB)
After graphing, we notice that D₁ and D₂ are parallel and they don’t have any point in common.
Therefore ,we say that’s the system is inconsistent
2.5 divided by 0.5 what would that be
Answer:
1.25
Step-by-step explanation:
1/2 of 2.5 is 1.25
Think of it as the following
250 divided by 2 is 125 because 125+125=250
Answer:
5
Step-by-step explanation:
2.5 divided by 0.5 would = 5
Find the volume of the rectangular prism pictured below if LM = 25 in, LO = 28 in, and
PR = 9 in, and OR = 3 in.
P
R
M
62 in
6300 in?
248 in
3
o 2354 in
3
Answer:
B. 6300
Step-by-step explanation:
The executive summary component of a business plan is to describe
a where the funds to start and operate your business will come from, when you expect to see
profit, and how much profit you expect to see
b. the size of the market, how your business will fit into the market, and how your business will
stand out from other businesses in the market
c. the 'big picture behind your business, what your business has to offer the consumer, and why
your business will be successful
d. how your business will be organized and what type of management or department structure
your business will have
Please select the best answer from the choices provided
ΟΑ
О В
ОС
Answer:
Executive summary describes the 'big picture behind your business, what your business has to offer the consumer, and why
Step-by-step explanation:
B is right
The scale factor of a model car to the actual car is 300. If the model car is 2in tall, how tall is the actual car?
Answer:
600 inches or 50 feet
Step-by-step explanation:
Scale factor = model car : actual car = 1 : 300
We have a 2 inch model car.
2 in. : actual = 1 : 300actual = 2 × 300actual = 600 inches or 600/12 = 50 feetplease help due in 10 mins
Answer:
the answers is -4 for this exerxises
Help and show explanation please
Answer:
This app is very good,it help us do our homework.and we make a good passed.
For a scavenger hunt, Jim's mom distributed a bag of 520 jelly beans evenly into 20 plastic containers and hid them around theyard. If, after the hunt, Jim has a total of 182 jelly beans, then how many of the plastic containers did he find?
A. 338
B. 140
C. 9
D. 7
Please help me do this question mathematics genius
The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).
How to find the total differential of a multivariate function
In this question we must apply the concept of total differential to determine the change of the variable z in terms of the changes in variables x and y. That is:
[tex]\Delta z = \frac{\partial f}{\partial x}\cdot \Delta x + \frac{\partial f}{\partial y}\cdot \Delta y[/tex] (1)
If we know that z = sin (x³ + y³), Δx = 0.3 and Δy = 0.2, then the expression for the change of z is:
[tex]\Delta z = 3\cdot \cos (x^{3}+y^{3})\cdot x^{2}\cdot (0.3)+3\cdot \cos (x^{3}+y^{3})\cdot y^{2}\cdot (0.2)[/tex]
Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³)
The expression for the change of the variable z is Δz = (0.9 · x² + 0.6 · y²) · cos (x³ + y³).
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please help me with this question
Help me please , you can ignore question number 1 !!!
Answer:
See below ~
Step-by-step explanation:
Q2
Lobster = 3 veg choices x 3 beverages9 outcomesQ3
Chicken and chopsuey = 3 beverages3 outcomesQ4
4 main dishes x 3 veg choices x 4 beverages48 menusUse what you know about translations of functions to analyze the graph of the function f(x) = (0.5)X-5 + 8
You may wish to graph it and its parent function, y = 0.5% on the same axes.
The parent function y = 0.5% is
า
across its domain because its base, b, is such that
DONE
The function, f shifts the parent function 8 units
DONE
The function, f shifts the parent function 5 units
DONE
Answer:
First box is: decreasing
Second box: 0< b< 1
Third box: Up
Fourth box: Right
Step-by-step explanation:
The point {1, 2} is reflected over the x-axis. Where is the location of the new
image?
A (-1, -2)
B(1.-2)
C(-1,-2)
D (-1,2)
E(2, -1)
Pls, look at the picture for the question.
Answer:
1. 9 * 10^15 meters per years
2. 3*10^8 meters per second
Step-by-step explanation:
Light travels is given 9,... m per year.
They ask how many meter light trravels per years.
They give you the meter per year so you look at the values and move the decimal and see if it can round to the whole number 9.
Looking at the four next to nine can't round so 9,460,000,000,000 becomes 9 * 10^15 m per year.
Converting meters per year to meter per seconds
[tex]\frac{9*10^5meters}{1 year} *\frac{1year}{365 days}*\frac{1 day}{24 hrs} *\frac{1hr }{60 min}*\frac{1min}{60 secs}[/tex]
The answer should be 2.8*10^8 or 3*10^8 meters per second
Each of 5 students reported the number of movies they saw in the past year. This is what they reported.
20, 15, 6, 5, 18
Find the mean and median number of movies that the students saw.
If necessary, round your answers to the nearest tenth. Mean: _movies
Median: _movies
Answer:
Step-by-step explanation:
For the mean you add all the numbers up and divide it by how many numbers there are (hence why it's the meanest!)
For the median you need to arrange the number in order of value/size and fine the middle number
PLS HELP ASAP WILL GIVE BRAINLIEST
Answer:
C
Step-by-step explanation:
None of the others are vertical angles
a is supplementary angles
b is supplementary angles
d is alternate interior angles
Subtract.
−1 3/5 − (−2 7/8)
Enter your answer as a simplified fraction by filling in the boxes.
It shouldn't be a mixed number.
Keep Moving! Read each problem and then, solve
1. What is the probability that you get a white chip from a box with 1 black chip, 1 white chip, and 1 red chip?
2. What is the probability that you get an 8 when you are rolling a number cube? 3. From a letter cube (A, B, C, D, E, and F), what is the probability that a B is on top when you roll the cube?
4. Mila and 3 other applicants apply for a job. What is the probability that Mila gets hired?
The probabilities of cases 1, 2, 3, and 4 will be 1/3, 5/36, 1/6, and 1/4 respectively.
What is probability?Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.
The probability is given as
P = Favorable event / Total event
1. The probability that you get a white chip from a box with 1 black chip, 1 white chip, and 1 red chip will be
P = 1/3
2. The probability that you get an 8 when you are rolling a number cube will be
P = 5/36
3. From a letter cube (A, B, C, D, E, and F), Then the probability that a B is on top when you roll the cube will be
P = 1/6
4. Mila and 3 other applicants apply for a job. Then the probability that Mila gets hired will be
P = 1/4
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11. What is the equation of the median-median line for the dataset in the table?
X Y
2 6
4 22
6 30
8 24
10 40
12 46
14 52
16 72
18 60
20 64
The equation of the median-median line for given data will be y = 3x + 10. Then the correct option is A.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The data set in the table is given below.
X Y
2 6
4 22
6 30
8 24
10 40
12 46
14 52
16 72
18 60
20 64
For the above after dividing the above data into 3 parts of the set (3,4,3)
Then the equation of the median-median line for given data will be
y = 3x + 10
Then the correct option is A.
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i need help with this
Two polygonal regions are similar with scale factor 7. The area of the smaller region is 490 cm2. What is the area of the larger region? Explain your reasoning.
Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Dilation is the increase or decrease in the size of a figure by a scale factor.
Two polygonal regions are similar with scale factor 7. The area of the smaller region is 490 cm², hence:
Area of larger region = 7 * 490 cm² = 3430 cm²
Two polygonal regions are similar with scale factor 7, if the area of the smaller region is 490 cm² then the area of the larger region would be 3430 cm²
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Somebody’s please help me with this it’s due tomorrow and I don’t have any idea how to do it
Answer:
1) They will stop 10 times for a break
2) A baker can make 10 cakes
3) Tammy will distrubute 36 bags with 2 1/2 pounds of candy
Step-by-step explanation:
Let me know if you have any questions !
Hope it helps