The equation for the ellipse is x²/625 + y²/400 = 1
To write an equation for an ellipse centered at the origin, which has foci at (0,±15) and vertices at (0,±25),
we use the formula:
x²/a²+y²/b²=1
where a represents the distance from the center to the vertex and c is the distance from the center to the focus.
The distance from the center to the foci is 15 and the distance from the center to the vertices is 25.
The center is located at the origin which means (h, k) = (0, 0).
Thus, a=25, c=15
Since c is the distance from the center to the focus, then
b² = a² − c²
where a = 25 and c = 15.
Substituting in the formula:
b2 = 25² − 15²
b2 = 400
Thus, the equation for the ellipse is:
x²/625 + y²/400 = 1
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Amy's fish tank has 16 liters of water in it. She plans to add 6 liters per minute until the tank has more than 88 liters. What are the possible numbers of minutes Amy could add water?
Answer:
12 minutes till 88 liters
Step-by-step explanation:
what is the least common multiple (LCM) of 5 and 7 plz help need my grades up
Answer:
The least common multiple of 5 and 7 is 35
Step-by-step explanation:
Because 5 x 7 is 35
Answer:
The Least common multiple ( LCM) of 5 and 7 is 35
Step-by-step explanation:
We list the first few multiples of 5 and 7a and identify the common multiples .
The least among the common multiples is the LCM of 5 and 7.
LCM 5 and 7
Multiples of 5: 5,10,15,20,25,30,35,40,45
Multiples of 7: 7,14,21,28,35,42,49
The Least common multiple of 5 and 7 is 35 .
l hope it helps ❤❤
Find x and y. please help
Answer:
[tex] x = 4 \sqrt{2} [/tex]
[tex] y = 4 \sqrt{6} [/tex]
Step-by-step explanation:
[tex] \sin 45 \degree = \frac{x}{8} \\ \\ x = 8 \sin 45 \degree \\ \\ x = 8 \times \frac{1}{ \sqrt{2} } \\ \\ x = \frac{8 \sqrt{2} }{2} \\ \\ x = 4 \sqrt{2} \\ \\ \\ \tan 30 \degree = \frac{x}{y} \\ \\ \frac{1}{ \sqrt{3} } = \frac{4 \sqrt{2} }{y} \\ \\ y = 4 \sqrt{6} [/tex]
whats 8/7 as a decimal?
3. I NEED HELP ASAP!! PLEASE PUT AND ANSWER AND STEP BY STEP EQUATION!! IF YOU DON'T KNOW THE ANSWER DON'T PUT ANYTHING!!
Write a rule for the linear function shown in the graph.
A. y = 5/3x + 1
B. y = 3x - 1
C. y = 2/5x + 1
D. y = -5/2x - 1
Answer:
D. y= -5/2x - 1
Step-by-step explanation:
Hope this helps. Sorry if it doesn't
A single card is drawn from a standard 52 card deck.
Work out the probability of choosing the "6 of hearts".
Give your answer in its simplest form.
Please anwer this in SIMPLEST FORM!
Step-by-step explanation:
probability of 6 of hearts = 1/52
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you.
The main mast of s sailboat is supported by a rope that extends from the top of the mast to the deck. If the mast is 23 feet tall and the rope attaches to the deck 15 feet away from the base of the mast, how long is the rope?
Answer:
27.46
Step-by-step explanation:
repost, algebra help needed please
Answer:
y- intercept = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
f(x) = [tex]\frac{1}{2}[/tex] [tex](6)^{x}[/tex]
To find the y- intercept let x = 0 , then
f(0) = [tex]\frac{1}{2}[/tex] [tex](6)^{0}[/tex] [ [tex]6^{0}[/tex] = 1 ]
= [tex]\frac{1}{2}[/tex] × 1 = [tex]\frac{1}{2}[/tex] ← y- intercept
1. The Clock
[tex] \sqrt{81} [/tex]
x^2 = -8x - 7 Rewrite the equation by completing the square. What are the solutions?
1) rewrite the equation by completing the square
(X+4)^2=9
2) what are the solution to the equation
Answer A= X=-4 plus and minus 3
fractionsss
15/7 = 2 1/7 right?
Answer:
Yepp!!
Step-by-step explanation:
[tex]\frac{15}{7}[/tex] = 2[tex]\frac{1}{7}[/tex]
There is a proportional relationship between the number of cookies and the number of packages 25 20 Number of Cookies 15 10 5 Number of Packages What is the constant of proportionality
I feel the answer would be B
Step-bystep explanation:
what is 3v+h v=5 h=10 which is what
Answer:
25
Step-by-step explanation:
3(5)+10 = 15 + 10 = 25
Find the perimeter of an equilateral triangle that has an attitude of 25 inches. Round your answer to the nearest 10
9514 1404 393
Answer:
86.6 inches
Step-by-step explanation:
The side length of an equilateral triangle is 2/√3 times the altitude. So, the perimeter is ...
P = 3s = 3(25)(2/√3) = 50√3 ≈ 86.6 . . . . inches
The radius of circle is 9. Using pie, which equation expresses the ratio of the circumference of the circle to the circle's
diameter?
Answer:
B) C/18 = PI
Step-by-step explanation:
C = PI * Diameter
C = PI * 2R
C = PI * 18
C/18 = (PI * 18)/18
C/18 = PI
You put $300 at the end of each month in an investment plan that pays an APR of 7%. How much will you have after 18 years? Compare this amount to the total deposits made over the time period.
Answer:
take 300 time 12 months. take that nber times 18 years. then times that number by .07.
all together there is almost a $5000 difference. that is almost the total of having put 300 in the account for another 2 years without the apr
Step-by-step explanation:
Answer:
The answer is 129,216.31. Hope it helps
Step-by-step explanation:
At Jefferson Middle School, eighty-two students were asked which sports they plan to participate in for the coming year. Twenty students plan to participate in track and cross country; six students in cross country and basketball; and eight students in track and basketball. Twelve students plan to participate in all three sports. A total of thirty students plan to participate in basketball, and a total of forty students plan to participate in cross country. Ten students don't plan to participate in any of the three sports.
How many students plan to just participate in track?
Answer:
20
Step-by-step explanation:
What expression is equivalent to 1/3 x -1/5
What in a region can be affected by latitude, topography, altitude and closeness to a large body of water, jet streams and surface currents?
Answer:
Hey!
Step-by-step explanation:
Latitude, or how far one is from the equator, greatly affects the climate and weather of an area. If you live close to the equator, the climate will be warmer, while moving north or south from the equator brings a cooler climate. Altitude, or how high one is above sea level, has a similar effect–the higher the elevation, the colder the climate.
Hope this helps! :)
Have a nice day♥
can someone help me on this and plz explain
A car dealership sells sedans and SUVs. In 2000, the ratio in which they were sold was 5:4. By 2010, the dealership had adjusted its inventory to a 2:7 ratio. If it sold 84 SUVs in 2010, how many sedans did it sell in 2000?
Answer:
60 sedans
Step-by-step explanation:
The computation of the number of sedans sold in 2000 is given below:
Given that
The ratio of sedans and SUV is 5:4
And, in 2010 its ratio is 2:7
Now in 2010, 84 SUVs sold
So
84 SUVS = 7
For total 9, it would be
= 84 × 9 ÷ 7
= 108 vehicles
Now the number of sedans is
= 108 × 5 ÷ 9
= 60 sedans
Round 14.6837 to the nearest HUNDREDTHS
Answer:
it's 14.68
Step-by-step explanation:
Answer:
14.68
Step-by-step explanation:
1|4|.|6|8|3|7
1=tens
4=ones
.=decimal
6=tenths
8=hundreths
3=thousanths
7=ten thousandths
3 is less than 5 so 8 stays the same
A party cap is in the form of a frustum. The radii of its ends are 10cm and 30 cm. The volume of the cap is 9100. What is the height of the cap?
Answer:
4.46cm
Step-by-step explanation:
Volume of a frustum is expressed as;
V = (1/3) * π * h * (r₁² + r₂² + (r₁* r₂))
h is the height of the frustum
r₁ and r₂ are the radii of its ends
V is the volume
Given
V = 9100cm₃
r₁ = 10cm
r₂ = 30cm
Substitute
9100 = (1/3) * (3.14) * h * (10² + 30² + (10* 30))
9100 = 1/2(3.14)*h*(100+900+300)
9100 = 1.57*h*(1300)
9100 = 2,041h
h = 9100/2,041
h = 4.46cm
Hence the height of the cap is 4.46cm
Lol i dont know if im right but can someone explain it to me please and thanks man
Answer:
The correct answer would be A.
Step-by-step explanation:
You're right because the translation would make it so the circles have the same center. Because they have the same center it would be easier to see the correlation between them.
I hope this helps!!
Yoli survey 100 people in your school and ask them if
thely feel your school has adequate parking. Only 30%
of the sample feels the school has enough parking. If
you have 728 students total in your school, how many
would you expect out of all the student body that felt
there was enough parking?
Answer:es, theoretically you would expect to roll only eight 5s. 3. You survey 100 people in your school and ask them if they feel your school has adequate parking. Only. 30% of the sample feels the school has enough parking. If you have 728 students total in your school, how many would you expect out of all the student body that ...
Step-by-step explanation:
What is on the twentieth floor .it goes Down 11 floors and then up 5 floors what floor is the elevator now
Answer:
6th floor
Step-by-step explanation:
Which set of ordered pairs (x, y) could represent a linear function?
A = {(3,5), (5,1), (7, -2), (9,-6)}
B = {(2,-5), (5,1), (6,3), (7,6)}
C = {(-4,3), (-2,0), (0, -4), (2, –7)}
D = {(-3,7), (-1,5), (1,3), (3, 1)}
Answer = C
because all are not in set pairs only no. C is pair of set
Lucy spent a total of $6.60 on 5 apples and a package of grapes. If the package of grapes cost $2.35, how much did each apple cost? Do not put a $ in your answer.
Each apple costs $
3 plus tax
Step-by-step explanation:
1. Points A and B are to be mapped onto a number line according to two equations. The solution to the equation 2 24 3 A is the coordinate of point A. The solution to the equation 20 0.2 B is the coordinate of point B.
(a) Solve the first equation to find the coordinate of point A. Show your work. (
b) Solve the second equation to find the coordinate of point B. Show your work.
(c) Determine the distance between points A and B. Explain.
PLZ HELP!! ASAP
Answer:
A. 2.11.5 B. 31
Step-by-step explanation:
2.11.5 B.31
Answer: A) 2/3 * 24/1 = 2/1 * 8/1 = 16/1 = 16
B) 20 = -B/0.2
20 * 0.2 = 4
C) The distance between the two points is 20, if the point for a is 16, and the distance for b is 4, you would have to add those two together and get 20.
Step-by-step explanation:
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