PLEASE HELP ME!
100 POINTS!
A cylinder has a volume of 20x®y4 units cubed. If the base of the cylinder has an area of
5x"y2 units squared, which of the following expressions represent the height of the cylinder?
(Hint: V = Bh)
O 100x®y
O 15wy?
o 4x®y?
O 4xy?
Answers
Answer:
100xy
Step-by-step explanation:
The height of the cylinder is 4x³y² unit.
The correct option is A.
What is a cylinder?A cylinder is a 3D solid form made up of two bases that are parallel and identical and are connected by a curving surface. These bases resemble spherical disks. The axis of the cylinder form is a line drawn through the center or connecting the centers of two circular bases.
Given:
A cylinder has a volume of 20x⁶y⁴ units cubed.
The base of the cylinder has an area of 5x³y² units squared.
And the volume of the cylinder V = Base area x height.
So, 20x⁶y⁴ = 5x³y² (height).
The height of the cylinder = 20x⁶y⁴/ 5x³y²
The height of the cylinder = 4x³y²
Therefore, 4x³y² is the height of the cylinder.
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Related Questions
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Write an equation of the parabola that passes through the point (62,−490) and has x-intercepts −8 and 72. Then find the average rate of change from x=−8 to x=2.
Answers
Answer:
y = 0.7(x^2 - 64x - 576)
Average rate of change = -49.
Step-by-step explanation:
As the x intercepts are -8 and 72 we can write the equation
y = a(x + 8)(x - 72) where a is some constant to be found.
As it passes through point (62, -490) we have, substituting:
-490 = a(62+8)(62-72)
-490 = - 700a
a = 0.7
So the equation of the parabola
y = 0.7(x + 8)(x - 72) or
y = 0.7(x^2 - 64x - 576).
Average rate of change between x = -8 and x = 2
= [0.7(2+ 8)(2 - 72) - 0.7(-8+8)(-8-72)] / (2 - -8)
= -490 - 0 /10
= -49
You have $500, sale price is $435. How much change will you get
Answers
I’m sorry if this is wrong it’s two in the morning
I guess this is what college does to u....
Answer:
go to sleep its 11:23 also u will get
$65 dollars pls mark me brainleist
Step-by-step explanation:
I need help with problem 8 with work shown and explanation
ASAP PLEASE!!!!!!!!
Answers
Answer:
6 movies = 1st plan
7 movies = 1st plan
8 movies = Either is fine. (They're the same price)
9 movies = 2nd plan
10 movies = 2nd plan
Step-by-step explanation:
6 movies (1st plan) = 20 + 5 × 6
= 50 (less than 60 so it is cheaper)
7 movies (1st plan) = 20 + 5 × 7
= 55 (less than 60 so it is cheaper)
8 movies (1st plan) = 20 + 5 × 8
= 60 (same as 2nd plan so either is fine)
9 movies (1st plan) = 20 + 5 × 9
= 65 (more than 60 so 2nd plan is better)
10 movies (1st plan) = 20 + 5 × 10
= 70 (more than 60 so 2nd plan is better)
Solve the inequality. 2(4x – 3)-3(3x) + + 5x?
Answers
Answer:
2 (2 x - 3)
Step-by-step explanation:
Simplify the following:
2 (4 x - 3) - 3×3 x + 5 x
-3×3 = -9:
2 (4 x - 3) + -9 x + 5 x
Grouping like terms, 2 (4 x - 3) - 9 x + 5 x = 2 (4 x - 3) + (5 x - 9 x):
2 (4 x - 3) + (5 x - 9 x)
5 x - 9 x = -4 x:
2 (4 x - 3) + -4 x
2 (4 x - 3) = 8 x - 6:
8 x - 6 - 4 x
Grouping like terms, 8 x - 4 x - 6 = (8 x - 4 x) - 6:
(8 x - 4 x) - 6
8 x - 4 x = 4 x:
4 x - 6
Factor 2 out of 4 x - 6:
Answer: 2 (2 x - 3)
Solve the inequality
Answers
Where is most of Earth’s fresh water found?
in the ground
near the poles
in lakes and streams
in the air as water vapor
Answers
Answer:
B: near the poles
Step-by-step explanation:
got it right on edge 2020
Answer:
near the poles
Step-by-step explanation:
trust me I know
Over which of the given intervals does g have an average rate of change of zero?
Choose 1 answer:
3<3<9
B
2 <3 <4
-9 <<-5
D
--2 <<3
Answers
Answer:
I think is c 2 hope that works
Step-by-step explanation:
please give brainliest :D
Given the points P(2, –6) and R(8, 3), what is the component form of Vector PR?
- ⟨6, -3⟩
- ⟨10, -3⟩
- ⟨6, 9⟩
- ⟨10, 9⟩
Answers
Answer:
the third one
Step-by-step explanation:
jsut took it
Answer:
It’s C
Step-by-step explanation:
1. Explain the difference between circumscribed angles and inscribed angles in relationship to a circle.
2. Explain, in your own words, the steps required to convert any equation of a circle into standard form be completing the square.
3. Explain/define the following terms, or draw a picture and label the terms.
a. radius
b. diameter
c. chord
d. secant
e. tangent
f. point of tangency
Answers
9514 1404 393
Explanation:
1. Consider the attachment. Angle CDF is a circumscribed angle. It is formed at the intersection of two tangents to the circle. Angles BCE, CBE, and BEC are inscribed angles. Their vertices are on the circle, and they are formed by two chords.
If a chord degenerates to zero length, the ray it represents with respect to an inscribed angle becomes a tangent. That is, angles BCD and ECD can also be considered to be inscribed angles. Similarly, straight angle DFG at tangent point F can be considered to be a degenerate case of both an inscribed angle and a circumscribed angle. (Some authors may not include degenerate cases in their definitions. YMMV)
__
2. The general form of the equation of a circle is ...
Ax² +Ay² +Dx +Ey +F = 0
Any equation of a circle can be put in this form. If we divide by A, this can be written as ...
x² +y² -2hx -2ky +c = 0 . . . . where h = -D/(2A), k = -E/(2A), c = F/A
and the equation can be further transformed to the standard form ...
(x -h)² +(y -k)² = r² . . . . . where r² = h² +k² -c
The last equation is the result of "completing the square" by adding h² and k² to both sides of the second equation shown. The values of h and k are as shown above, given the coefficients of the general form equation.
__
3. Again refer to the attached diagram.
a) a radius is a line segment with the circle center at one end and a point on the circle at the other end. AB and AC are radii.
b) A diameter is a line segment whose ends are on the circle and whose midpoint is the center of the circle. BC is a diameter.
c) A chord is a line segment whose end points lie on the circle. BC, BE, and CE are chords.
d) A secant is a line containing two points of the circle. Lines CG and CE are secants.
e) A tangent is a degenerate case of a secant in which the two points of intersection merge to one point of intersection. It is a line that touches the circle at exactly one point, the point of tangency. DG and DC are tangents.
f) The point of tangency is the single point where a tangent intersects a circle. A radius to the point of tangency (such as AC) is always perpendicular to the tangent line (DC).
A seven-person relay team completed a race in 84.7 seconds. On average, what was each runner's time?
Answers
Answer:
12.1 seconds
Step-by-step explanation:
84.7/7 = 12.1
Answer:
12.1
Step-by-step explanation:
Divide the 84.7 by the # of people on team (7)
20) Solve the problem. Suppose that 12 unique names are put into a hat and drawn at random without
replacement. How many different ways can you draw all of the names from the hat? Remember that
"without replacement" means that the names are not returned to the hat after they are chosen. Write your
answer in factorial notation.
SHOW WORK: None to be shown
A) 12!
B) 11!
C) 10!
D) 12! - 1
Answers
the answer would be A) 12 because there are only twelve names
The number of different ways is 12! you can draw all of the names from the hat without replacement option (A) 12! is correct.
What are permutation and combination?
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
It is given that:
Number of unique names = 12
That 12 unique names are put into a hat and drawn at random without
replacement.
"Without replacement" means that the names are not returned to the hat after they are chosen.
Number ways (without replacement) = 12x11x10x9x8x7x6x5x4x3x2x1
Number ways (without replacement) = 12!
Thus, the number of different ways is 12! you can draw all of the names from the hat without replacement option (A) 12! is correct.
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What is 1.452 rounded to the nearest hundredth
Answers
Answer:
1.450
Step-by-step explanation:
what grade ar4e you in I'm guessing 4th or 5th
(1 point) A pond contains 100 fish, of which 40 are carp. If 20 fish are caught from the lake, what are the mean and variance of the number of carp among those 20
Answers
Answer:
E(X) = 6
Var(X) = 3.394
Step-by-step explanation:
Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each
of the (100, 20) ways to catch the 20 fishes will be equally likely.
Thus, we can say that X fulfills a hypergeometric
distribution with parameters as follows;
n = 20, N = 100, k = 30
Formula for expected mean value in hypergeometric distribution is;
E(X) = nk/N
E(X) = (20 × 30)/100
E(X) = 6
Formula for variance is;
Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]
Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]
Var(X) = 6 × 0.5657
Var(X) = 3.394
An above-ground garden is in the shape of a rectangular prism measuring 5 feet by 8 feet by 1.5 feet. The organic soil costs $1.20 per cubic foot. How much will it cost to fill the above-ground garden fully?
Answers
Answer:$72.00
Step-by-step explanation: To find the volume you do 5×8×1.5 which equals 60. Then you multiply 60 by 1.20 to find your total cost. Answer is 72
A store is having a sale with a 19% discount on all merchandise. Write an
equation representing between the regular cost of merchandise (r) and
the discount received (d).
Your answer
Answers
Answer:
3
Step-by-step explanation:
In an election for school president, the loser received 70% of the winner's votes. If 969 votes were cast, how many did each receive?
Answers
Answer:
The ans would be 291 (however we can round this off to 290 as no can partially vote as 0.1)
Step-by-step explanation:
We can easily find the loser's vote by-
70% of 969= 678.9
now, all we need to do is find the winners vote
we know that the total no. of votes= 969 & we know the no. of votes loser got
so, subtracting the losers vote from 969 would give us the remaining no. of votes (the winner's votes)....so,
969-678.9=290.1
we can round this off to 290
Abbey receives a $40 gift card for downloading music and wants to determine how many songs she can purchase. Each downloaded song costs $2.89 a. Let m represents the number of songs downloaded. Write an inequality that represents this given situation? b. What is the maximum number of songs Abbey can download?
Answers
Answer:
A. $2.89(m)=$40
B. 13 songs
Step-by-step explanation:
$2.89(m)=$40
m=$40/$2.89
m=13.84
She can download a maximum of 13 songs
Check:
$2.89 (13 songs)=$37.57
$40-$37.57=$2.43 left on her gift card
m=13.84, check that 0.84 of the cost of a song is left over 0.84*$2.89=$2.43
Answer:
13 songs
Step-by-step explanation:
40 divided by 2.89 is 13.84. DO NOT ROUND TO 14
So its a maximum of 13 songs, otherwise it will cost 40.46 for 14 songs
PLEASE HELP ME!!!!!! Write the information in the table as ordered pairs. Graph the relationship from the table.
Answers
Answer:
(3, 60) (5, 100) (8, 160) (9, 180) (12, 240)
Step-by-step explanation:
The graph below shows where the two functions y = f(x) and y = g(x) intersect. Solve the equation f(x) = g(x).
Answers
There are two solutions because the two functions cross each other twice.
The solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).
We have a graphical representation of two functions f(x) and g(x) and where they intersect.
We have to solve the equation f(x) = g(x)
Two functions A(x) and B(x) are plotted on the graph such that these these two functions intersect each other at three different coordinates. The total number of solutions possible for - A(x) = B(x) is ?The total number of solutions can be calculated by counting the points at which these curves intersect each other. Hence, the total number of possible solutions are 3.
In the question given - We have a straight line and a parabola -
Now, we just have to look at the points at which these two graphs intersect each other. It can be seen that - both the graphs cut each other at coordinates - (4, 8) and (-2, 2).
Hence, the solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).
Alternative Method -
The general equation of straight line is : y = mx + c and that of parabola is : y = [tex]\sqrt{4ax}[/tex]
The solution can be calculated by equating both of the above expressions and solving them.
mx + c = [tex]\sqrt{4ax}[/tex]
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A 6.50% coupon bond with 18 years left to maturity is offered for sale at $1,035.25. What yield to maturity [interest rate] is the bond offering? Assume interest payments are paid semi-annually, and solve using semi-annual compounding. Par value is $1000.
Answers
Answer:
The yield to maturity is 6.3974%
Step-by-step explanation:
The computation of the yield to maturity is as follows
Given that
NPER = 18 × 2 = 36
PMT = $1,035.25 × 6.50% ÷ 2 = $33.65
PV = $1,035.25
FV = $1,000
The formula is shown below:
=RATE(NPER;PMT;-PV;FV;TYPE)
The present value comes in negative
AFter applying the above formula, the yield to maturity is
= 3.1987% × 2
= 6.3974%
Hence, the yield to maturity is 6.3974%
Write an Equivalent Expression by combining like terms for 2x+3x+y+2y
Answers
Answer:
5x+3y
Step-by-step explanation:
2x+3x=5x since they have the same variable.
y+2y
1y+2y u can put a 1 so that would be 3y
5x+3y
Help me pleaseeeeeeeeeeeeeee
Answers
Answer:
the second one
Step-by-step explanation:
Answer:
2nd
Step-by-step explanation:
The 2nd one is the correct one because it is true and that is the best way to get your solution.
Hope this helps:)
Pls mark brainly
3. Simplify the following inequalities.
Answers
Answer:
7x+7 > 23-x
group like terms
7x+ x > 23-7
8x > 16
we divide both side by
8x > 16
8 8
so 8 cancelled out 8 living
x > 16
8
x > 2
8
we
What is the value of the function at x = 22 Enter your answer in the box .please help.
Answers
Answer:
its gonna be whatever the y value is when x is 22
Step-by-step explanation:
Between the hours of 10pm and 6am, the temperature decreases an average of 3/4 of a degree per hour. How long will it take for the temperature to decrease by 5 degrees?
Answers
Answer: it take for the temperature to decrease by 5 degrees 5 weeks
Step-by-step explanation:10pm and 6am, the temperature decreases an average of 3/4 of a degree per hour.
You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time. You decide to take a second job that pays $9 dollars an hour. You can work as many hours for this job as you like. Taxes are 12% of your earnings, and you are able to save the rest. Over these 4 months, what is the minimum number of hours you will need to work in order to save enough money for your tuition alone? Round your answer to the nearest hour.
Answers
Answer:
10.80
Step-by-step explanation:
12% of $9 dollars is $1.08 rounded is 1.080
btw if this was a real job id quit even though im in 6th
The minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time.
You decide to take a second job that pays $9 dollars an hour.
Taxes are 12% of your earnings, and you are able to save the rest.
Let x be the minimum number of hours you will need to work in order to save enough money for your tuition alone.
From the data given, we can frame a linear equation in one variable.
987 = 9x - 12% of 9x
987 = 9x - (0.12)(9)x
987 = 9x - 1.08x
7.92x = 987
x = 987/7.92
x = 124.62 ≈ 125 hours
Thus, the minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.
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Ms. cooper goes to Panera Bread for dinner and orders the Green Goddess salad. Her total was $8.79. Ms. cooper gave the cashier $10, how much change did she receive?
Answers
Hellllp please asap
Answers
What’s the common factor for 72 and 84
Answers
Answer:
Step-by-step explanation:
This is the general method for doing this problem. First factor these numbers into primes.
72: 2 * 2 * 2 * 3 * 3
84: 2*2 * 3 * 7
Now each number has at least two 2s
Each number has at least one 3
The highest common factor is 2 * 2 * 3 = 12
Jason and his twin brother, Seth, are painting the walls in their bedroom. It took Jason 50 minutes to paint a 160-square-foot wall. It took Seth 30 minutes to paint a 120-square-foot wall. Who painted faster?
Answers
Answer:
Jason
Step-by-step explanation:
Answer:
It's Seth
Step-by-step explanation:
