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.
To learn more about the cylinder;
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The complete question is given in the attached image.
Related Questions
Serial numbers for a product are to be made using 2 letters followed by 3 digits. The letters are to be taken from the first 6 letters of the alphabet, with no repeats. The digits are taken from the 10 digits 0, 1, 2, ..., 9, with no repeats. How many serial numbers can be generated?
Answers
==========================================================
Explanation:
There are 6 letters to pick from {A,B,C,D,E,F} and we have two slots to fill, where no repeats are allowed. This means we have 6*5 = 30 different ways to pick two letters.
There are 10 digits to pick from {0,1,2,...,9} and there are 3 slots to fill. This gives 10*9*8 = 720 different permutations for this portion.
Overall, we have 30*720 = 21600 different serial numbers possible.
If f(x) -3x + 4 and g(x) =2, solve for the value of x for
which f(x)= g(x)is true.
Y=f(x)
g(x)
3
Answers
Answer:
28375683nxjs8737trxniu89oiec8n23783287 doo doo
Step-by-step explanation:
HELP LE WITH THE WORKSHEET ITS FOR 6 TH GRADE YALL GOT THIS CMON PLEAE HELPPP ILL GIVE YOU ALL THE POINTS I CAN PLEASE PLEASE PLEASE I BEG
Answers
Answer:
1) 55/100
2) 68/100
3) 24/100
4)95/100
5) 72/100
6)44/100
7) 90%
8) 56%
9)35%
10)76%
11) 10%
12)80%
Step-by-step explanation:
Answer:
N is 11/20, A is 17/25, T is 6/25, E is 19/20, H is 18/25, I is 11/25, M is 90%, A is 56%, C is 35%, L is 76%, T is 10%, U is 80%
Step-by-step explanation:
help i give brainliest
Answers
Answer:
y = 11-x
y = 2x-1
Step-by-step explanation:
Let x and y be the two numbers
x+y = 11
y = 2x-1
Solving the first equation for y
y = 11-x
Answer:
Im their friend so i'ma just take the pts (cuz i need them)
Step-by-step explanation:
Thx
What is the ratio for 321 to 56
Answers
Answer:
Rounded to 12 decimals:
56/321 ≈ 17.445482866044%
Rounded to maximum 2 decimals:
56/321 ≈ 17.45%
What is the slope of a line represented by 3x-14y=28
Answers
Answer:
3/14
Step-by-step explanation:
3x-14y=28
solve
add -3 both sides
3x−14y+−3x=28+−3x
−14y=−3x+28
divide both sides by -14
y= 3 /14 x−2
y=mx+b
so 3/14 is the slope
Triangles ABC and FED are congruent right triangles. Find the length of FE. 8 m 6 m
Answers
Which expression is equivalent to 2x^2-
2x + 72
Answers
Answer:
36
Step-by-step explanation:
2x•2x=4x
4x-2x=2x
72÷2=36
help plz need it so so much
Answers
Answer:
C
Step-by-step explanation:
The number line does not end at -2 and the solution should exclude 3 as it is a hollow circle instead of a filled one.
Find the sales tax.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$60.00
3%
?
The sales tax is $.
Answers
Answer:
57.00
Step-by-step explanation:
welcome
Answer:
1.80
Step-by-step explanation:
60 x .03=1.80
Ethan has saved $180 to buy a bicycle which costs $540. He wants to find how much more he needs to save to buy the bicycle
Which equation when solved would show Ethan the amount of money he needs to save?
Answers
Answer:
X = 360
Step-by-step explanation:
180 + x = 540
-180 = -180
Answer:
540-180=360
Step-by-step explanation:
Why? Because he has 180, he need 540. There is 360 in between, which is the money he needs.
Hope this is the right equation.
the circumference of a circular piece of plot is 440m. find the area
pie is 22/7
Answers
Answer:
sorry I hope I could help u :(
According to a survey in one U.S. city, 53% of women between the ages and 25 of 35 are married, 45% are working full time, and 21% are married and working full time. If a woman between the ages of 25 and 35 is picked at random from the city, what is the probability that she is working full time or married but not both
Answers
Answer: 56%
Step-by-step explanation:
given data:
married women between 25 and 35 = 53%
working full time = 45%
married and working full time = 21%
Solution:
= 53% - 21%
= 32%
= 45% - 21%
= 24%
probability that she is working full time or married but not both
= 32% + 24%
= 56%
The Height H(t) (in feet) of a projectile fired vertically into the air from the ground is given by the equation H(T) = -16t^2 + 96t, where t is time (in sec) after the launch.
A) How long will it take the projectile to reach its maximum height?
B) What is the maximum height?
C) How long does it take the projectile to reach the ground again.
Answers
Answer:
a) 3s
B) 144m
C) 6s
Step-by-step explanation:
Given the height modeled by the function;
H(T) = -16t^2 + 96t,
The body will reach its maximum height when dh/dt = 0 (when velocity is zero)
dh/dt = -32t + 96
0 = -32t + 96
32t = 96
t = 96/32
t = 3s
Hence it will take the projectile 3s to reach its maximum height'
B) To get the maximum height we will substitute t = 3 into the equation
H(T) = -16t^2 + 96t,
H(3) = -16(3)^2 + 96(3)
H(3) = -144+ 288
H(3) = 144m]
Hence the maximum height is 144m
C) The projectile reaches the ground at h = 0
H(T) = -16t^2 + 96t,
0= -16t^2 + 96t,
16t² = 96t
16t = 96
t = 96/16
t = 6
Hence it will take the projectile 6s to reach the ground again
When a fair 6 sided dice is rolled, what is the probability that is will land on the five?
Answers
Answer:
1/6
Step-by-step explanation:
Only one of the six sides is a 5 on the die. So there is a 1/6 chance that it will land on it
need help with this problem it’s math so if you know math come on in
Answers
Answer:
The line is super close to 15 or 20. So one of those for sure
Step-by-step explanation:
Answer: its got to be 15 because the line isn't on 20
Step-by-step explanation:
help!! how do i solve this and what is the answer??
Answers
Answer:
Yes you got it right.
Step-by-step explanation:
x= -7/4
x= -1 3/4, x= -1.75
Victoria invests $200 into an account with a 2.6% interest rate that is compounded semiannually. How much money will she have in this account if she keeps it for 10 years? Round your answer to the nearest dollar. Provide your answer below: The graph of the function f(2) - log,() is stretched vertically by a factor of 6, shifted to the right by 3 units, and shifted up by 5 units. Which of the answer choices gives the equation of the function g(2) described above? Select the correct answer below:
g(x) = -6log(x + 3) - 5
g(x) = -6log(x + 5) +3
g(x) = 6 log (x + 3) +5
g(x) = 6 log (x - 3) +5
g(x) = 6 log2(x – 3) - 5
g(x) = -6 log2(x - 5) +3
Answers
Answer:
1. Victoria will have in this account the sum of $258.95 after 10 years.
2. The answer choice that gives the equation of the function g(2) described above is:
g(x) = 6 log (x + 3) +5
Step-by-step explanation:
a) Data and Calculations:
FV (Future Value) $258.95
PV (Present Value) $200.00
N (Number of Periods) 20.000
I/Y (Interest Rate) 1.300%
PMT (Periodic Payment) $0.00
Starting Investment $200.00
Total Principal $200.00
Total Interest $58.95
A student decided to make random guesses for all the above 5 true/false questions. What is the probability of this student getting one or more correct answer
Answers
Answer: 25%
Step-by-step explanation:
The probability of getting at least one correct answer is 255/256 ≈ 0.996
The probability of getting exactly one correct answer is 5/256 ≈ 0.0195
What is probability?The probability is defined as the possibility of an event being equal to the ratio of the number of outcomes and the total number of outcomes.
As there are two possible results for each of the 5 questions, there are
2⁵ = 256 possibilities total.
To calculate the probability, then, we only need to know how many ways the student can get one correct answer.
The question's wording contains a small amount of uncertainty, therefore we will discuss both possibilities.
Probability of at least one correct answer:
There is only one way the student can have no correct answers, meaning there are 256 -1 = 255 ways the student can have at least one correct answer.
Thus, the probability of getting at least one correct answer is
255/256 ≈ 0.996
Probability of exactly one correct answer:
There are 5 ways the student can get exactly one correct answer
Thus, the probability of getting exactly one correct answer is 5/256 ≈ 0.0195
Learn more about probability here:
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A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 12 feet more than the length of the shortest side.Find the dimensions if the perimeter is 136 feet
Answers
x - the shortest side
2x
x + 28
The sum of these must be equal to the perimeter of the flower bed, so
x + 2x + x + 28 = 184
4 x + 28 = 184 Combined like terms
4x = 156 Subtracted 28 from both sides
x = 39 Divided both sides by 4.
So the dimensions are 39 feet, 78 feet, and 67 feet
The circumference of a circular piece of plot is 440m. find the area
pie is 22/7
Answers
Answer:
Step-by-step explanation:
Circumference = 2pi r
440 = 2 *22\7 *r
70 = r
Area= pi r^2
Area= 22\7 *70*70
Area =15400
What is the equation of the line shown below? Give your answer in slope-
intercept form.
Answers
or
y= 1x-3
To find this, use the formula y2-y1/ x2-x1 which gives you the slope. Then use the graph to find the y-intercept. Once you have both the slope (m) and the y-intercept (b) plug them in to y=mx+b to get your answer.
Solve for l P = 2 ( l + b )
A. l = P - 2b/2
B. l = P - b/2
C. l = 4 ( P + b )
D. l = P - b/4
Answers
2l+2b=p
2l = p-2b
l = (p-2b)/2
Which ordered pair could be removed to
make the set a function?
{(1,3), (2,4), (3,4), (3,6), (5, 10), (6,3)}
A. (1,3)
B. (6,3)
C. (5, 10)
D. (3,4)
Answers
Answer:
The answer is choices D.
Step-by-step explanation:
hope this helps
Because as you can see the rest of them are half of the number like 2 is half of 4 but 3 can’t do into 4 with out there being some left over
Please help geometry
Answers
Answer:
Step-by-step explanation:
if the triangles are similar their sides should be in proportion so
(56/70)=(48/60) and they are in proportion because .8 = .8
ΔNQR ~ ΔNLM
QUADRATIC FORMULA SIMPLIFIED PLZ HELP
Answers
Answer:
3x² + 5x + 1 = 0 simplifiedx = (-5 ± [tex]\sqrt{13}[/tex])/6 rootsStep-by-step explanation:
Given quadratic formula
3x² + 5x - 5 = - 6Standard form
ax² + bx + c = 0Simplifying
3x² + 5x - 5 + 6 = 03x² + 5x + 1 = 0Solving
x = (-5 ± [tex]\sqrt{5^2 -4*3*1}[/tex])/(2*3)x = (-5 ± [tex]\sqrt{13}[/tex])/6the equation of three lines
Answers
List the following in order from least (top) to greatest (bottom).
6, 25, 27, V64, 764
Answers
Answer:
6
25
27
64
764
It's just ascending order, easy.
Ron loan was 7,500.His interest rate is 8.5% for 4 years? What is the interest for the 4 years and the total payment at the end of the 4 years?
Answers
Answer:
The answer is 3000
Step-by-step explanation:
The Department of Commerce in a state has determined that the number of small businesses that declare bankruptcy per month is approximately a Poisson distribution with a mean of 3.4. Find the probability that more than 3 bankruptcies occur next month.
Answers
Answer:
0.44164
Step-by-step explanation:
Given that :
Mean (λ) = 3.4
probability that more than 3 bankruptcies occur next month
Using the poisson distribution formula :
P(x ; λ) = P[(e^-λ) * (λ^x)] ÷ x!
Probability of obtaining more than 3 bankruptcies :
To save computation time, we can use the poisson distribution calculator :
P(x >3 ; λ = 3.4)
P(x > 3) = 0.44164
P(x > 3) = 0.44164