A drum used for percussion has sides modeled by a hyperbola. The total height of the drum is 35 inches. The diameter at the top of the drum is 16 inches, and the minimum diameter is 8 inches, occurring at a height of 22 inches. Determine the equation of a hyperbola that models the sides of the drum assuming that the center of the hyperbola occurs at the height where the diameter is the least.
Answers
look at the screen shot ya know
The equation of a hyperbola that models the sides of the drum assuming that the center of the hyperbola is (35 + a)²/a² - 8²/b² = 1 and (22+ a)²/a² - 4²/b² = 1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that the total height of the drum is 35 inches.
The diameter at the top of the drum = is 16 inches, and
The minimum diameter is 8 inches, occurring at a height of 22 inches.
The equation of the hyperbola be denoted as;
x²/a² - y²/b² = 1
From the question, with x and y coordinates representing height and radius respectively,
Then,
When x = 35 + a, y is = 16/2 = 8 and
At x = 22+ a, y is = 8/2 = 4
Thus,
(35 + a)²/a² - 8²/b² = 1
(22+ a)²/a² - 4²/b² = 1
By solving, we have, a = 128.95 and b = 14.75
Therefore a= 128.95 and b = 14.75
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(08.01)
Two friends went to get ice cream sundaes. They each chose a flavor of ice cream from a list of vanilla and chocolate and toppings from a list of hot fudge,
strawberries, sprinkles, peanuts, and whipped cream. Use the sets below describing their choices and find B'
Let A = {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream}
Let B = {vanilla, hot fudge, sprinkles, whipped cream}
Let C = {chocolate, hot fudge, peanuts, whipped cream}
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A
Step-by-step explanation:
njsusnhshbwhjkahbkans
-6(2x - 6) - 4x + 7 Simplify the algebraic expression.
Answers
2.) -12x + 36 - 4x + 7
3.) -16x + 36 + 7
4.) -16x + 43
Answer:
− 1 6 + 4 3
Step-by-−
−6 ( 2 − 6 ) − 4 + 7
− 1 2 + 3 6 − 4 + 7
− 1 2 + 3 6 − 4 + 7
− 1 2 + 4 3 − 4
− 1 2 + 4 3 − 4
− 1 6 + 4 3
step explanation:
Distribute
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Combine like terms
need help with this question
Answers
Answer: 21
Step-by-step explanation:
Factor the follow expression:
8x−10
Select one:
2(x−5)
2(4x−5)
8(x−10)
2(4x−10)
Answers
Answer:
2(4x-5)
Step-by-step explanation:
find the greatest common factor (biggest number that goes into 8 and 10)
it is two
divide both by two
put 2 on the outside to symbolize that you multiply the inside by 2
2(4x-5)
Answer:
[tex]2(4x - 5)[/tex]
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
[tex]gcf = 2[/tex]
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]2( \frac{8x}{2} - \frac{10}{2} )[/tex]
3) Simplify each term in parentheses.
[tex]2(4x - 5)[/tex]
Therefor, the answer is Option B.
Mason spends $24 on hot dogs and buns for his graduation picnic. Hot dogs cost $3 per pack and buns cost $2 per packGraph the equation that models this situation, given that represents packs of hot dogs and y represents packs of buns
Answers
Answer: i don’t know
Step-by-step explanation: because I don’t know
Nolan invested $5,300 in an account paying an interest rate of 3.8% compounded
annually. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest tenth of a year, for the value of the account to reach $6,880?
HELP
Answers
Answer:
7
Step-by-step explanation:
did the question
The amount of money would be $6,880 in the account after 7 years.
What is Compound interest?Compound interest is defined as interest paid on the original principal and the interest earned on the interest of the principal.
A = P(1+r/100)ⁿ
Where:
A = the future value of the investment or loan
P = the principal investment or loan amount
r = the interest rate (decimal)
n = the number of compound periods
Given data as follows:
p = $5,300
r = 3.8%
A = $6,880
A = P(1+r/100)ⁿ
Substitute the values of p,r, and A in the formula,
6,880 = 5,300(1 + 3.8/100)ⁿ
6,880/5,300 = (1 + 0.038)ⁿ
1.2981 = (1.038)ⁿ
n = 6.9954
Rounded to the nearest digit, and we get
n = 7
Therefore, the amount of money would be $6,880 in the account after 7 years.
To learn more about Compound interest click here:
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PLS help
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Answer:
1.2
Step-by-step explanation:
Given
52/5_65/7
10.4_ 9.28
1.2
-46\35
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Answer: you got the two right, the third is incorrect and the fourth is correct
Step-by-step explanation: I took the quiz hope I pulled some weights off your shoulders
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Answer:
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Step-by-step explanation
the image of (-9,-4) after a reflection over the y-axis?
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Answer:
The answer is (-4,9)
Step-by-step explanation:
When you reflect across y=-x the x and y coordinates switch places and change signs.
Translate the sentence into an inequality.
A number increased by 2 is greater than or equal to 19.
Answers
Answer:
X + 2 [tex]\geq \\[/tex] 19
Step-by-step explanation:
a number ur going to represent with a variable x and increased by 2 means + 2 so x + 2 and when it say greater than or equal to remember that it always opens to the lager number or x + 2 and has a line underneath to represent the or equal to.
5.5 + n = 10 please help
Answers
Answer:
n = 4.5
Step-by-step explanation:
10 - 5.5 = n
Answer:
I feel like its 4.5
Step-by-step explanation:
Please answer this question!!! Thank you!
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Answer:
your answer is b
Step-by-step explanation:
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Answer:
x - 6 = 3x
Step-by-step explanation:
I think please wait for more responses if needed, I showed how to make them equal, what x equals.
The pie chart below represents the vehicle types owned by families. If the total number of people surveyed is 1000, approximately how many own a van?
Answers
Answer:
500 families
Step-by-step explanation:
We want to estimate the size of the dark blue section of the chart. The chart looks like the left of the pie chart is split evenly with the dark blue section. So we estimate that each of those must represent 12 or 50% of the total number of families. Therefore,
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About 500 families own a van.
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Answers
Answer:
no
Step-by-step explanation:
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A. 9 in., 8 in., 16 in.
B. 11 in., 12 in., 22 in.
C. 14 in., 6 in., 20 in.
D. 3 in., 8 in., 6 in.
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Answer:
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Answer:
6 ft = 2 yd
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Help me with this last one I don’t really get it
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Answer:
Step-by-step explanation:
1. Bar graph.
2. fewer
3. more
Hope that helps!
what is the solution to the equation below -5/4 x + 2/5 equals -13 / 30
Answers
Elis, Raine and Avery buy a boat for $33 000.
Elise pays $12 000, Raine pays $6000 and Avery pays the rest.
Six years later they sell the boat for $25 300.
They share the money in the same ration that they bought the boat.
How much money does Avery lose on the sale of the boat?
Answers
Amount Avery paid: 32,000-12,000-6,000 = 15,000
Divide portion she paid by total cost:
15,000/33,000
Simplify to 15/33
Multiply the amount the boat was sold for by her portion:
25,300 x 15/33 = 11,500
Subtract the amount she got from the amount she paid:
15,000 - 11,500 = 3,500
She lost $3,500
Answer:
yes
Step-by-step explanation:
yes!
Factor:
n^4- 3n^2 + 2
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Step-by-step explanation:
[tex]( \: n - 1) \times (n + 1) \times \: ( {n }^{ 2 - 2)} [/tex]
A town has a population of 7000 and grows at 4% every year. What will be the population after 13 years, to the nearest whole number?
Answers
Answer:
Step-by-step explanation:
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Answer:
Step-by-step explanation:
1. $5
2. 50 cents
3. 25 cents
4. 3 dollars
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just subtract them
answer pls>>>>>.
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I used completing the square method were you draw a square and multiple everything across
Hope it helps!!
Have a nice day or night :O
Use the comment feature for any additional questions you have
can i get factors of 256
Answers
Step-by-step explanation:
Factors of 256: 1, 2, 4, 8, 16, 32, 64, 128 and 256.
Hope it will help :)❤
Here the answer hope this helps:
factors of 256 are.... 1, 2, 4, 8, 16, 32, 64, 128 and 256.
Step-by-step explanation:
hope this helps
NEED HELP PLEASE ! WILL MARL BRANIEST IF RIGHT
Answers
Answer:
-9, -2, 14
Step-by-step explanation:
-1 is < 0 so plug it into the first function.
8(-1) -1 = -9
0 is ≥ 0 so plug it into the second function
8(0)-2 = -2
2 is ≥ 0 so plug it into the second function
8(2) - 2 = 14
Given g(x)=-2x+2, solve for x when g(x)=8
Answers
Answer:
x=±3. Explanation: g(x)=2x2−10 g(x)=8. ie 2x2−10=8 2x2=18 x2=9 x=±3.
Step-by-step explanation:
To solve this, first set -2x + 2 = 8
Now you want to try to get x alone on one side so subtract 2 on both sides
-2x = 6
Finally divide both sides by -2 to find out what x is equal to
x =-3
To check if this is the right answer, plug -3 in for x in the original equation and see if it comes out as 8
-2(-3) + 2 = 8
6 + 2 = 8
8 = 8
Both sides are equal so -3 is the solution