The cylinder has a greater volume than the sphere when both have the same diameter and the cylinder's height is equal to its diameter, as the formulas for their volumes show that V_cylinder > V_sphere.
The question asks which shape has a greater volume: a sphere with the same diameter as a cylinder or a cylinder where the height is equal to the diameter. To solve this, we need to compare their volumes using mathematical formulas.
The volume of a sphere with radius r is given by V_sphere = (4/3) * π * r^3. Since the diameter of the cylinder is the same as the diameter of the sphere, we can use the same value for r, where r is half of the diameter.
The volume of a cylinder with radius r and height h (which, in this case, is also 2r) is calculated as V_cylinder = π * r^2 * h. For the cylinder, since h = 2r, we substitute to get V_cylinder = π * r^2 * (2r) = 2 * π * r^3.
Comparing the two volumes, it is clear that the volume of the cylinder (2 * π * r^3) is greater than that of the sphere ((4/3) * π * r^3). Therefore, the cylinder has a greater volume than the sphere when both shapes have the same diameter and the cylinder's height is equal to its diameter.
which numbers are rational numbers 2, -4.0, 8.1, 3/4, 0, -8
which of the following is equal to the rational expression.......
The expression equal to the rational expression is 3/(x + 6)
from the question, we have the following parameters that can be used in our computation:
3(x + 2)/(x + 6)(x + 2)
Divide the fraction by x + 2
So, we have
3(x + 2)/(x + 6)(x + 2) = 3/(x + 6)
Hence, the value of the rational expression is 3/(x + 6)
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A square garden has an area of 64 square feet. What is the length of the garden?
The length of the garden will be 8 feet.
It should be noted that the area of a square is gotten by multiplying its lengths together. For example, the area of a square with length of 2cm will be: = 2 × 2 = 4cm²
Therefore, since the square garden has an area of 64 square feet, the length of the garden will be:
= ✓64
= 8 feet
Therefore, the length is 8 feet.
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A store had 4 boxes of video Games.How many days would it take to sell the games if each day they sold one fifth
please please someone help me and show me how you got the answer super super thanks in advance
NEED HELP ASAP!!! Susan makes $5 per hour babysitting and $7 per hour as a life guard. Her goal is to make at least $140. which of the following represents three possible solutions to the problem?
In the diagram,CD is tangent to the circle, AB = 6 in, and BD = 10 in. Find AD.
Write each mixed numbers as a product of a whole number and a unit fraction
1 1/2
1 3/5
3 3/4
A box containing 3 small bags of flour weighs 950 grams. Each bag of flour weighs 300 grams. How much does the empty box weigh
Solve for x.
80
22
40
12
How do you find the area of a triangle?
What property is used to transform the equation x-2y=14 into -3x+6y=-42
In a large apartment building, 35 of the apartments have a balcony and 55 do not. An apartment us randomly selected as part of a survey. What is the probably it has a balcony?
11/18 probability
90 apartments total
35/90=
11/18
Answer:
Thanks
Step-by-step explanation:
This person is correct peeps :DD
Subtract a-4 from 4a+16 and simplify your answer. The variable a should appear only once in your answer.
Subtracting a-4 from 4a+16 and then simplifying the expression will be 3a + 20.
This is a simple expression and we have to subtract a-4 from 4a+16 and then simplify the answer. This will be:
(4a + 16) - (a - 4)
= 4a - a + 16 + 4
= 3a + 20
In conclusion, based on the calculation above, the answer is 3a + 20.
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need urgent help Which sets of numbers are closed under addition?
Choose all answers that are correct.
A.
whole numbers
B.
natural numbers
C.
negative integers
D.
integers
Solve the system of equations algebraically.
3x-3y=6
6x-7y=5
a. (8,8)
b. (9,7)
c. many solutions
d. no solution
The system of equations has a solution at (9, 7), which is an option (b).
What are Systems of equations?Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
The given equations are:
3x-3y=6
6x-7y=5
Multiply the first equation by 2 to get rid of the coefficient of x in the second equation:
6x - 6y = 12
6x - 7y = 5
Subtract the first equation from the second equation to eliminate x:
0x - y = -7
y = 7
Substitute y = 7 into one of the original equations and solve for x:
3x - 3y = 6
3x - 3(7) = 6
3x - 21 = 6
3x = 27
x = 9
Therefore, the solution to the system of equations is (9, 7), which corresponds to option (b).
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use the given graph to determine the period of the function. 1 & 2 plz
1)What is the solution to the equation below?
2) How did you get your answer?
x+3 = 8
Parker was able to pay for 44% of his college tuition with his scholarship.
The remaining $10,054.52 he paid for with a student loan.
What was the total cost of Parker's college tuition?
Round your answer to the nearest dollar.
Tuition cost = $_
The total cost of Parker's college tuition, rounded to the nearest dollar, is $17,952.
Explanation:If Parker was able to pay for 44% of his total college tuition with his scholarship, this means that the $10,054.52, which he paid using his student loan, represents the remaining 56% of his tuition cost. Therefore, to find the total cost of tuition, we need to divide the amount he paid with a loan by 0.56. Performing this calculation gives us:
$10,054.52 / 0.56 = $17,952.00
Therefore, the total cost of Parker's tuition rounded to the nearest dollar is $17,952.
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the first computer is usually regarded as one called ROACH completed in 1945. Email was invited in 1971. how many years after the computer was email invented
Final answer:
Email was invented 26 years after the completion of the first recognized computer in 1945.
Explanation:
The first computer is often attributed to the work carried out during World War II, with machines like ENIAC, completed in 1945, incorporating vacuum tubes and filling entire rooms. However, the question references a machine called ROACH, which seems to be a typo or a misunderstanding; we usually refer to ENIAC as one of the first computers. Email, on the other hand, was invented in 1971 by Ray Tomlinson. Calculating the difference between the years when the first computer was completed and when email was invented gives us the number of years it took for email to be developed after the advent of the computer.
To find this, we subtract the year the first computer was completed, 1945, from the year email was invented, 1971:
1971 (the year email was invited) - 1945 (the year the computer was completed) = 26 years.Email was invented 26 years after the completion of the first computer.
Writing a Real-World Inequality Anise wants to have longer hair than her sister. Her sister’s hair is 2.25 feet long. How long does Anise’s hair have to be?
Answer:
B the second graph
Step-by-step explanation:
Have trust in me and give brainiest
Leo has 100 coins in his piggy bank. All coins are either nickels, or dimes, or quarters. There are as many nickels as dimes and quarters together. How much money are nickels in Leo's piggy bank worth? will mark brainliest!!! PLEASE HELP
Total money nickles are worth of = $2.5
Let number of nickles coins be 'x'
Let number of dime coins be 'y'
Let number of quarter coins be 'z'
we have,
x + y + z = 100 and x = y +z
on solving the two equations, we get x = 50
1 nickle = 5 cents
50 nickles = 250 cents = $2.5
The area of a square can be found using the equation A = s², where A is the area and s is the measure of one side of the square.
Match the equation for how to solve for the side length of a square to its description.
Drag the equation into the box to match the description.
Answer: middle
Step-by-step explanation:
0.8 x 3.15 it’s multiplying rational numbers
Simplify the expression.
2^2 • 2^3
A.
4^5
B.
4^6
C.
2^6
D.
2^5
What is the value of the expression 24 – (7 + 5) ÷ 6 + 8?
The value of the expression 24 – (7 + 5) ÷ 6 + 8 is: 30
What is BODMAS rule?
The brackets must be solved first, then powers or roots (i.e. of), Division, Multiplication, Addition, and finally Subtraction, according to the BODMAS rule. Any phrase can only be solved correctly if the BODMAS rule or the PEDMAS rule is used.
In the question, The given expression is 24 – (7 + 5) ÷ 6 + 8.
we will solve this expression using the BODMAS rule
which states the order of the operator in which we should use them in an expression.
That is:
B for brackets;
O: for of
D: for Division
M: for Multiplication
A: for Addition
S: for Subtraction
So, using the same in the given expression:
24 – (7 + 5) ÷ 6 + 8
Removing the bracket by solving it first:
⇒24 – 12 ÷ 6 + 8
After that: Divide :
⇒24-2+8
Then Addition:
⇒32-2:
At last: by subtraction, we get:
⇒30
Hence, the value of the expression 24 – (7 + 5) ÷ 6 + 8
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Evaluate the expression. If necessary, round to the nearest hundredth. lne
(This question has 4 parts)
1. Use an appropriate technology to simulate 25 tosses of a coin. Report your results
2.What experimental probability is indicated by this data?
3. What is the theoretical probability that a coin toss will yield a result of heads? Or tails?
4. Explain any differences between the theoretical probability and the experimental probability.
(Sorry for so much but I honestly have no idea how to do this)
(Please make a good answer with details and include how you did it)
Heads - 9
Tails - 16
----
Probability of heads = 9/25 = 0.36 = 36%
Probability of tails = 16/25 = 0.64 = 64%
----
Heads = 36%
Tails = 64%
----
The experimental probability basically says the answer but the theoretical probability clears out the answer.
The table below shows the values of y for different values of x:
x y
0
0
1
5
2
10
3
15
Which equation shows the relationship between x and y?
x = 5y
y = 5 + x
x = 5 + y
y = 5x
Answer:
D. [tex]y=5x[/tex]
Step-by-step explanation:
We have been given a table of values. We are asked to find the equation that shows the relationship between x and y.
x y
0 0
1 5
2 10
3 15
Upon looking at our given table, we can see that with each increase in x value, the value of x increases by 5. This means that slope of our given line is 5.
We can also see that initial value or y-intercept is 0.
Upon substituting our given values in slope intercept form of equation, we will get:
[tex]y=5x+0[/tex]
[tex]y=5x[/tex]
Therefore, our required equation is [tex]y=5x[/tex] and option D is the correct choice.
Should this answer be a fraction or a whole number?