Vladimir hit a home run at the ballpark. A computer tracked the ball's trajectory in feet and modeled its flight path as a
parabola with the equation, y = -0.003(x – 210)2 + 138. Use the equation to complete the statements describing the
path of the ball.
Answer:
The vertex of the parabola is
✔ (210, 138)
The highest the ball traveled was
✔ 138
feet.
Step-by-step explanation:
Edge 2022
A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The highest the ball has travelled is 138 feet.
What is an equation of a parabola?A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.
y = a(x-h)² + k
where,
(h, k) are the coordinates of the vertex of the parabola in form (x, y);
a defines how narrower the parabola is, and the "-" or "+" that the parabola will open up or down.
A.) In the given quadratic equation, the vertex of the equation is y=-0.003(x-210)² + 138 is (210,138).
B.) Since the vertex is the highest point, therefore, The highest the ball has travelled is 138 feet.
The complete question is,
Vladimir hit a home run at the ballpark. A computer tracked the ball's trajectory in feet and modelled its flight path as a parabola with the equation, y = -0.003(x – 210)2 + 138. Use the equation to complete the statements describing the
path of the ball.
The vertex of the parabola is ?
The highest the ball travelled was? Feet
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I have 10 questions can someone help me please 1 9/5+8/5. 2 1/3+1/3 3 2/4+1/4
Answer:
1. 3 2 /5
2. 2/ 3
3. 3/4
Step-by-step explanation:
QUICK I NEED HELP!!!!!!
Answer:
500
Step-by-step explanation:
Select the correct answer.
The figure PQRSTU represents the shape of the parking lot at a shopping mall. What is the area of the parking lot?
A.
834 square feet
B.
918 square feet
C.
984 square feet
D.
1,068 square feet
Reset
Answer:
Is there an image? I cant figure it out without the image
Step-by-step explanation:
PLZ ANSWER NO FAKE LINKS OR SAYING I READY ISNT ALLOWED
Answer: 13
Step-by-step explanation: Hope this help :D
The base and height of a triangle are each extended 2cm. what is the area of the shaded region? explain how you know
PLEASE HELP ILL GIVE YOU BRAINLIEST PLESSE HELPPPP
Answer:
18cm^2
Step-by-step explanation:
The computation of the area of the shaded region is shown below:
But before that the x value is
x ÷ 8 = (x+2) ÷ 10
10x = 8x + 16
10x - 8x = 16
2x = 16
x = 8
Now as we know that
Area = base × height
= 2cm × 8cm
= 16cm²
Now for small triangle
Area = 1 ÷ 2(base)(height)
= 1 ÷ 2 × (2)(2)
=4 ÷ 2
A = 2cm²
Now the total area of the shaded region is
= 16cm^2 + 2cm^2
= 18cm^2
Rebecca picked a bunch of flowers from her garden. She gave 19 flowers to her mother. If she now has 34 flowers, how many flowers did she pick?
Sketch a graph of X= –2
Answer:
It's just a vertical line extending in both directions for infinity at x=-2
Step-by-step explanation:
Graph is in ss
Jim caught 15 fish over course of 3 days. After 4 days how many total fish will Jim have caught?
Answer:
20
Step-by-step explanation:
15 divided by 3 is 5
15 over 4 days = 20
I’ll give brainliest and 100 points
Answer:
Step-by-step explanation:
I first added 13 and 8 to get 21
After that I do 7.5*21 to get 157.5
Then I multiplied 2.5 by 8 to get 20. But it is a triangle so I have to divide by 2 to get 10
I add 10+10+157.5=20+157.5=177.5
177.5 units²
Answer:
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Step-by-step explanation:
The value of an autographed baseball card increased from $39 to $65 what is the percent increase in value of the baseball card?
:
The percent increase is found by finding the difference between the two prices and then dividing that different by the beginning price.
For this example it would be 65-39= $26. So $26/$39(the starting price) is 0.666... This is equivalent to about 66.67%. So, the price of the card increased by about 66.67%
Answer:
66.7%
Step-by-step explanation:
the value increased by 26
percentage increase =increase /initial value ×100
=26/39×100=66.7%
find the difference of 13 2/5 and 3 3/4
Answer:
9 13/20
Step-by-step explanation:
amber deposits $870 in an account that has a simple interest rate of 8% per year. After 5 years, how much interest will Amber have learned and what will the total balance be in the account
Please help with math and explain if u do i’ll give brainly!!
Answer:
3/2
Step-by-step explanation:
MNOP to ABCD: The answer has to be greater than one because ABCD increases in size from MNOP.
To get the scale factor you have to compare the sides.
Line AD = 6 in.
Line MP = 4 in.
6/4 = 3/2
n a study of academic procrastination, it was determined that for a random sample of 18 undergrad students at a mid-size public university, the mean time spent studying for the final exam in an intro statistics course was 7.74 hours with a standard deviation of 3.40 hours. Suppose we wish to compute a 95% confidence interval for the mean time spent studying for the intro statistics final exam by all students. The margin of error for this confidence interval would then be calculated using the critical value (c) determined in the previous question as: (Don't worry if your sample size changed- use the one given here).
Answer:
The 95% confidence interval for the mean time spent studying for the intro statistics final exam by all students is between 6.05 hours and 9.84 hours.
Step-by-step explanation:
We have the standard deviation for the sample, which meas that the t-distribution is used to solve this question
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 18 - 1 = 17
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.11
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.11\frac{3.4}{\sqrt{18}} = 1.69[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 1.69 = 6.05 hours
The upper end of the interval is the sample mean added to M. So it is 7.74 + 1.69 = 9.84 hours.
The 95% confidence interval for the mean time spent studying for the intro statistics final exam by all students is between 6.05 hours and 9.84 hours.
what is 3 1/4 x 3 2/5
Step-by-step explanation:
Exact Form:
2485"
Decimal Form:
49.6"
Mixed Number Form:
4935"
for the following problems do at least one problem using unit form and at least one problem using fraction form 3.2 x 1.4=
Which operation would help solve for t?
T-13=35
Answer:
t = 48
Step-by-step explanation:
please help asap ! no scam links or scam comments for points or reported.
Answer:
C
Step-by-step explanation:
it is -25x X= each time he goes rock climbing
Please help, anything would be very much appreciated
Answer:
answer is 5.50
Step-by-step explanation:
multiply 2.75 times two because 3 by 5 is half of 9 by 15
What is the surface area of the cylinder with height 5 mi and radius 6 mi? Round your answer to the nearest thousandth.
Step-by-step explanation:
Given
h = 5 mi
r = 6 mi
Surface Area of Cylinder =
[tex]2\pi \: rh + 2\pi {r}^{2} \\ = 2\pi(6)(5) + 2\pi ({6}^{2}) \\ = 2\pi(30) + 2\pi(36) \\ = 60\pi + 72\pi \\ = 132\pi \\ = 414.690 {mi}^{2} (nearest \: thousandth)[/tex]
Answer: 414.69 m2
Step-by-step explanation:
In the school chorus,
5
20
of the students are fourth graders.
In simplest form, what fraction of the students in the school chorus are fourth graders?
Answer: 1/6
Step-by-step explanation:
⊕║Using Sampling to Predict Lesson 10-5║ ⊕
To determine how many students at a middle school bring their lunch from home, all the students on one school bus are surveyed. identify if this is BIASED OR UNBIASED. Explain your reasoning!!
Jason rolls the die 14 times. What is the experimental probability that he will roll a 2
The experimental probability that Jason will roll a 2 is 3/14.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, Jason rolls the die 14 times.
From the given table,
Number of favorable outcomes = 3
Total number of outcomes = 14
So, the probability = 3/14
Therefore, the experimental probability that Jason will roll a 2 is 3/14.
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Which fraction is equivalent to 2/3? A. 4/9 B. 18/21 C.6/8 D. 16/24
Answer:
16/24
Step-by-step explanation:
2 x 8 = 16
3 x 8 = 24
Write 2.83 as a mixed number and as an improper fraction.
Do not try to simplify your answers.
Answer:
Mixed number: [tex]2\frac{83}{100}[/tex]
Improper Fraction: [tex]\frac{283}{100}[/tex]
Answer:
[tex]\frac{238}{100}\\\\2\frac{38}{100}[/tex]
Step-by-step explanation:
2.83/1
To make this a normal fraction, the top has to be a whole number, so we can multiply the top and bottom by 100 to slide the decimal point twice.
238/100
This can be shown as a mixed number by removing the 200 which is divisible by 100
[tex]2 \frac{38}{100}[/tex]
Note: The reason the question says not to simplify is because 283 is a prime and cannot be simplified
What is the quotient of 20 divided by one fourth?
Answer: 80 i think
Step-by-step explanation:
Which of the following is a factor of 2x2 - x-6?
O (x+2)
O (2x - 3)
o (x – 3)
O (2x + 3)
0.36(18)+0.04x=0.12(24+x)
Answer:
x = 45
Step-by-step explanation:
0.36(18) + 0.04x = 0.12(24 + x)
6.48 + 0.04x = 2.88 + 0.12x
0.04x - 0.12x = 2.88 - 6.48
-0.08x = -3.6
0.08x = 3.6
x = 3.6/0.08
x = 45
Help plz I will give brainliest