A tunnel is in the shape of a parabola.if the tunnel is 40 feet wide and has a maximum height of 12 feet. write the equation of the quadratic function that represents the tunnel(let the axis of symmetry be the y-axis)
Answers
9514 1404 393
Answer:
y = -0.03x² +12
Step-by-step explanation:
For "tunnel" or "arch" or "bridge" problems, I like to start with the expression ...
y = 1 - x²
It has a height of 1 and intersects the x-axis at ±1. This can be scaled to give the appropriate height and x-intercepts.
We want the x-intercepts to be ±20, so we can scale this horizontally by a factor of 20:
y = 1 -(x/20)²
We want the height to be 12, so we can scale it vertically by a factor of 12:
y = 12(1 -(x/20)²
y = 12 -12(x²/400)
y = -0.03x² +12
Related Questions
If we work out the question ,
£118.80 divided by 22
on a calculator it comes out as 5.4
How could we write this answer as an amount of money?
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Answer:
£5.40
Step-by-step explanation:
just add a zero for it to be pence
calculate the perimeter of a rectangle with length 4+5y-3x and width 2x - 8y
Answers
Answer: p = - 6y - 2x + 8
Step-by-step explanation:
p = 2l + 2w
p = 2(4+5y-3x) + 2(2x - 8y)
p = 8 + 10y - 6x + 4x- 16y
p = - 6y - 2x + 8
Answer:
P=-2x-6y+8 i believe
Step-by-step explanation:
P= 2(4+5y-3x) + 2(2x-8y)
P= 8+10y-6x +4x-16y
=8+10y+−6x+4x+−16y
=(−6x+4x)+(10y+−16y)+(8)
=−2x−6y+8
Ok can someone please help me? i really need help and no one will help me, its easy middle school math
Answers
Answer:
Step-by-step explanation:
7) A
8) D
9) B
10) A
Rondel's parents borrow $5000 from the bank for a new car. The interest rate is 6% per year. How much simple interest will they pay if they take 2 years to repay the loan?
$600.00
$500.00
$480.00
$540.00
Answers
Answer:
600
Step-by-step explanation:
6 percent of 5000 is 300. 300x2=600.
Sorry if im wrong
The sample for a study exhibits undercoverage bias. Select the statement that best describes the bias in the study. O There are not enough subjects in the sample.
O Many of the subjects in the study did not answer every question on the survey.
O The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.
O The subjects in the study are not representative of the population, because some members of the population refused to take part in the study.
Answers
Answer:
The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.
Step-by-step explanation: i got it right on the test
A sample is said to exhibit undercoverage bias, if some of the portion or category of the population are not adequately represented or exempted from the selected sample. Hence, undercoverage bias exists because, The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.
Undercoverage bias produces non - representative samples as some category of the population may have been exempeted from the study. Hence, option C is correct.Undercoverage translates that the opinion of some members of the population were not even considered. Hence, the introduction of undercoverage bias.
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2.
Write an equation of a line with the given slope and y-intercept.
m = 1, b = 4
A. y = –1x + 4
B. y = 4x + 1
C. y = x + 4
D. y = x – 4
Answers
Answer:
the answer is C
Step-by-step explanation:
You would take and the y axis would equal x since the m is 1 it would just be x and then since you have the 4 you would just add it to the y=x and then it would be y=x+4
PLEASSSSSSSSEEEEEEEEEEEEEEEE JUST ANSWER MY QUESTION STOP SKIPPING ME SHOW WORK PDF BELOW FIND SURFACE AREA PLEASE 50 POINTS
Answers
Answer:
9) 21
10) 24
11) 14.6
Step-by-step explanation:
Literally just add up all the sides.
solve the right triangle. round your answer to the nearest tenth
Answers
Answer:
?
Step-by-step explanation:
Write an equation that represents the line.
Use exact numbers.
Answers
Answer:
1x-2y
Step-by-step explanation:
You have to go down 2 on the y-axis and over to the right 1 on the x axis
find surface area of this cone
Answers
Answer:
SA = 200π cm²
Step-by-step explanation:
The surface area is calculated as
SA = area of base + area of curved surface
= πr² + πrs ( r is the radius and s the slant height )
Using Pythagoras' identity in the right triangle to find s
s² = 15² + 8² = 225 + 64 = 289 ( take square root of both sides )
s = [tex]\sqrt{289}[/tex] = 17
SA = π × 8² + π × 8 × 17
= 64π + 136π
= 200π cm²
Hey can anyone please help me with these t questions asap?
Answers
Answer:
21) 27
22) 2 (the third one has a few people in it)
Step-by-step explanation:
9 dozen= 12 to a dozen
108
=27
Answer:
21. 27 22. 6
Step-by-step explanation:
21 is 27 because 9 times a dozen (12) times equals 108. !08 splited by 4 is 27.
For 22 112-70 is 42. There are 7 seats per row so 42/7= is 6 empty rows.
look at the photo to answer
17 POINTS!!!
Answers
Please solve this and give answer
Answers
Answer:
Step-by-step explanation:
The volume of a cylinder is 471 cm? If the
height is 6 cm, calculate the radius.
Someone plz help
Answers
Answer:
Step-by-step explanation:
Formula for volume of a circle: V=πr²
If you multiply the circle by height, it becomes a cylinder.
Formula for volume of a cylinder: V=πr²h
Plug in the numbers and get r by itself:
471 = πr²(6)
Divide both sides by 6:
78.5 = πr²
Divide both sides by π:
25 = r²
Square root both sides:
[tex]\sqrt{25}[/tex] = [tex]\sqrt{r} \\[/tex]²
5 = r
Radius is 5 cm
Two similar rectangles are shown. Which statement is true? A) The area of rectangle B is 1 3 the area of rectangle A. B) The area of rectangle B is 1 9 the area of rectangle A. C) The area of rectangle B is nine times the area of rectangle A. Eliminate D) The area of rectangle B is three times the area of rectangle A
Answers
Answer:
I think it is 19 I not really sure
Step-by-step explanation:
o work it out of my paper and I got 19
Answer: The answer to this math question about finding the statement is very true about 2 similar rectangles are being shown here below is B). B) The area of rectangle B is [tex]\frac{1}{9}[/tex] of the area of rectangle A.
Step-by-step explanation: I'm very sorry about that, but I don't have any step-by-step explanation to this math question about finding the statement is very true about 2 similar rectangles are shown here below, so anyways, I hope that my full short given answer without my given step-by-step explanation to your own math question about finding the statement is very true about 2 similar rectangles are being shown here below, please mark me as Brainliest, take care, always be safe, and have a great rest of the day and good night! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
What is the volume of the prism?
Answers
Answer:
volume of hexagonal prism = area of base * perpendicular height
Step-by-step explanation:
An African Elephant can eat 4,620 pounds of
food a week! If the elephant ate the same
amount of food each day that week, how many
pounds of food would he have eaten in a day?
Answers
Answer:
Step-by-step explanation:
660
Answer:
660 pounds
Step-by-step explanation:
Need this done in 5 minutes
Answers
Step-by-step explanation:
40, 58, 58, 72, 74, 74, 76, 81, 83, 84, 92
1 2 3 4 5 6 5 4 3 2 1
1) A. 74
2) B. 40
3) A. 92
4) A. 58
Brainlist pls!
Julie & Maria go to Sam's Club to purchase candy. Julie buys three five-pound bags of candy and two one sound bags of candy for a of 19. Maria buys one five-pound bag of candy and four one-pound bags of Candy for $ 13
A) write a system of two equations that represent this scenario and define your variables
Answers
Answer: 5x + 2y = 19
x + 4y = 13
Step-by-step explanation:
let x be the cost of each five-pound bag of candy, and y be the cost of each one-pound bag of candy.
5x + 2y = 19
x + 4y = 13
A taxi travels for 30 minutes at a speed of 28 mph. Calculate how far it travles.
Answers
Answer:
14 m
Step-by-step explanation:
Speed = 28 mph
Time = 30 minutes = 30/60 = 1/2 hour
Distance = speed * time
= 28 * [tex]\frac{1}{2}[/tex]
= 14 m
Answer:
14 miles
Step-by-step explanation:
A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 907.46 square feet? Use 3.14 for π
Answers
Answer:
The number of feet away from the sprinkler where it could spread water would be the radius of the circle in which it is spraying.
The Area of a circle is
πr2=808.64
(3.14)r2=808.64
Divide both sides by 3.14
r2=257.5286624
Square root both sides to get radius
r=16 feet
7 feet away from the sprinkler can it spread water if the area formed by the watering pattern is 907.46 square feet
Area of circle:What information do we have?
Area of watering pattern = 907.46 square feet
Area of watering pattern = Area of circle
Area of watering pattern = πr²
907.46 = (3.14)r²
r² = 289
r = 17
Length = 17 feet
Find out more information about 'Area'.
https://brainly.com/question/11952845?referrer=searchResults
which of the following could not be a value of probability
HELP
Answers
Step-by-step explanation:
s it will be just know the right
A triangle has angle measures of 95° and 65° What is the measure of the third angle
Answers
-4(8h-5)= -16 round to the nearnest hundreth
Answers
Answer:
h=9/8 or 1.125 but since yo said round it's 1.13
Step-by-step explanation:
find the area of the following triangle and write your result in the empty box
Answers
Answer:
Step-by-step explanation:
Area = 1/2bh
since b = 10in and height = 6in
then
1/2 x 10 x 6
= 30
Answer:
Area = 1/2bh since b = 10in and height = 6in next you do 1/2 x 10 x 6 = 30
Thirteen of the Unites States do not touch the ocean. What percent of the United States do not touch the ocean? HELP!
Answers
what's the circumference of a circle with a diameter of 3 inches? Use 3.14 for pi
Answers
Answer:
C≈18.85
Step-by-step explanation:
ASAP PLEASE HELP ME !!!!
Answers
Answer:
90 mallards
Step-by-step explanation:
No. of ducks = 200
Mallards = 45%
45% of 200 = 45/100 × 200
=90
45% mallards. X
100% all ducks 200
X=45•200/100
X=90
Matchsticks are used to make a sequence of
patterns:
3 , 5 , 7 ...
Find the nth term rule for the number of
matchsticks in pattern n
Answers
Answer:
Tn = 1 + 2n
Step-by-step explanation:
Given the arithmetic sequence
3 , 5 , 7 ...
The nth term of an AP is expressed as;
Tn = a + (n-1)d
a is the first term = 3
d is the common difference = 5-3 = 7-5 = 2
n is the number of terms
Substitute
Tn = 3 + (n-1)(2)
Tn = 3 + 2n-2
Tn = 1 + 2n
Hence the nth term rule for the number of matchsticks in pattern n is 1 + 2n
Three bananas and two pears cost 95p.
Five bananas and three pears cost £1.51
Find the cost of ten bananas and ten pears.
Answers
Answer:
Cost of ten bananas and ten pears is £ 3.90
Step-by-step explanation:
As three bananas and two pears cost 95 p and five bananas and three pears cost £ 1.51 or 151 p ,
subtracting former from latter, we get
two bananas and one pear cost 151 p − 95 p = 56 p
and doubling four bananas and two pear cost 56 p × 2 = 112 p
Hence, one banana costs 112 p − 95 p = 17 p .
and two bananas cost 17 p × 2 = 34 p
and hence one pear costs 56 p − 34 p = 22 p
Hence cost of ten bananas and ten pears is
10 × 17 p + 10 × 22 p = 170 p + 220 p = 390 p = £ 3.90
Hope it helps
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