1) what is the volume of a cylinder with a radius of 2 cm and a height of 10 cm? ( Express your answer using symbol pie)
A) 4(symbol pie) cm^3
B) 10(symbol pie) cm ^3
C) 20(symbol pie) cm ^3
D) 40(symbol pie) cm ^3
2) a cylinder has a base with a radius of 3 cm and a height of 12 cm. what is the volume of the cylinder? ( use symbol pie=3.14)
A) 113.04 cm^3
B) 339.12 cm^3
C) 452.16 cm^3
D) 1356.48 cm^3
3) A cylinder has a base with a radius of 3 cm and a height of 12 cm. what is the volume of the cylinder? ( use symbol pie=3.14)
A) 113.04 cm^3
B) 339.12 cm^3
C) 452.16 cm^3
D) 1356.48 cm^3
4) A cylinder and a rectangular prism have the same volume and same height. The base of the prism is a square with length 7 cm.
what is the approximate radius of the cylinder?
A) 4.0 cm
B) 3.5 cm
C) 2.2 cm
D) 1.5 cm
Answers
Answer:
1 a 2 d 3b 4 c
Step-by-step explanation:
sorry it took me 6 years to get back to you
Related Questions
1/3 and 7/9 rewrite using the least common denominator
Answers
9 is the LCD. So you have to multiply 3 by 3 to get 9, so multiply the numerator (1) by 3. 3/9 is the answer to that.
To rewrite 1/3 and 7/9 using the least common denominator, you need to find the smallest number that both 3 and 9 can divide evenly into. The least common denominator (LCD) of 3 and 9 is 9. Rewrite the fractions as 3/9 and 7/9, respectively.
Explanation:To rewrite the fractions 1/3 and 7/9 using the least common denominator, we need to find the smallest number that both 3 and 9 can divide evenly into. The least common denominator (LCD) of 3 and 9 is 9. We can now rewrite the fractions:
1/3 becomes 3/9 (multiply the numerator and denominator by 3)7/9 remains the sameSo, 1/3 and 7/9 can be rewritten as 3/9 and 7/9, respectively, using the least common denominator.
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Mark is solving the following system.
x+y+z=2 (1)
3x+2y+z=8 (2)
4x-y-7z=16 (3)
Step 1: He multiplies equation (1) by 7 and adds it to equation (3).
Step 2: He multiplies equation (3) by 2 and adds it to equation (2).
Which statement explains Mark’s mistake?
- He added equation (3) instead of equation (2) in step 1.
- He did not multiply equation (3) by the correct value.
- He did not eliminate the same variables in steps 1 and 2.
- He added equation (3) and equation (2) instead of subtracting.
Answers
Solving the system of linear equations Mark tries to apply elementary transformations in order to eliminate one variable.
He makes such steps:
1. He multiplies equation (1) x+y+z=2 by 7 and adds it to equation (3) 4x-y-7z=16. This gives him:
7x+7y+7x+4x-y-7z=14+16,
11x+6y=30.
2. He multiplies equation (3) 4x-y-7z=16 by 2 and adds it to equation (2) 3x+2y+z=8. This step gives him:
8x-2y-14z+3x+2y+z=32+8,
11x-13z=40.
Thus, he did not eliminate the same variables in steps 1 and 2.
Answer: correct choice is C
In 1991, the federal minimum wage rate was $4.25 per hour. In 1997, it was increased to $5.15. Find the annual rate of change in the federal minimum wage rate from 1991 to 1997
Answers
1997 = $5.15
1hour = 60min
First you will have to multiply:
4.25 * 60 = 225
5.15 * 60 = 309
Then you subtract the answers you got together
309 - 225 = 84
So the the rate of change increases by 84!!
Hope This Helps!!
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The annual rate of change in the federal minimum wage rate from 1991 to 1997 is $0.15 per year.
Explanation:The annual rate of change in the federal minimum wage rate from 1991 to 1997 can be found by calculating the difference between the final and initial values, and then dividing it by the number of years.
Initial value in 1991: $4.25
Final value in 1997: $5.15
Difference: $5.15 - $4.25 = $0.90
Number of years: 1997 - 1991 = 6 years
Annual rate of change: $0.90 / 6 = $0.15
Therefore, the annual rate of change in the federal minimum wage rate from 1991 to 1997 is $0.15 per year.
Suppose f is continuous on [1,5] and the only solutions of the equation f(X)= 6 are x=1 and x=4. If f(2)=8, explain why f(3)>6. ...?
Answers
Given the conditions of the continuous function f and the equation f(X) = 6 where X = 1 and X = 4, f(3) must be greater than 6 because of the utilization of the Intermediate Value Theorem.
Explanation:The question is about the function f which is continuous on the interval [1,5]. The given conditions are that the solutions of the equation f(X) = 6 are x = 1 and x = 4 and that f(2) = 8 which is greater than 6. By the Intermediate Value Theorem (IVT), since f is continuous on [1,5] and f(2) = 8 > 6 and we have that f(x) = 6 for x = 1 and x = 4, then by the IVT we should have a point f(c) = 6 for some c in the interval (2,4). Hence, it means that f(3) could be equal to 6 or be more than 6, but since we know the only solutions are x = 1 and x = 4, f(3) cannot be equal to 6 and thus f(3) must be greater than 6.
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An algebraic expression has parentheses with unlike terms inside. Explain how to simplify this algebraic expression if a minus sign is in front of the parentheses.
Answers
Answer:
The expression can be simplified by distributing the minus sign to each of the terms inside of the expression.
Step-by-step explanation:
In a triangle ABC, with angles A, B, and C and sides AB, BC, and AC, angle B is a right (90°) angle. If the sin of angle A is 0.5 and side BC is 8 inches long, what is the length of side AC?
Answers
Is the following relation a function?
X Y
6 -1
-1 2
4 3
0 3
Yes or no
Answers
How many days equals 7344 minutes??
Answers
Answer:
as a decimal: 5.1
Solve x2 + 10x = −21.
Select one:
a. x = 7 and x = 3
b. x = −7 and x = −3
c. x = −7 and x = 3
d. x = 7 and x = −3
Answers
Two numbers are 10 units away in different directions from their midpoint, m, on a number line. The product of the numbers is –99.
Which equation can be used to find m, the midpoint of the two numbers?
(m – 5)(m + 5) = 99
(m – 10)(m + 10) = 99
m2 – 25 = –99
m2 – 100 = –99
Answers
proof
m2 – 100 =(m – 10)(m + 10)
for eg. m=1, (-9)(11)= –99
The equation can be used to find m, is [tex]m^{2} -100 = -99[/tex].
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
According to the given question.
We have two numbers.
Both are 10 m away from their midpoint, m.
Therefore,
If the first number is ( m + 10).
Then the second number will (m-10).
Also it is given that the product of these two numbers is 99.
⇒ [tex]( m + 10)( m - 10) = -99[/tex]
⇒ [tex]m^{2} -10m + 10m -100 = -99[/tex]
⇒ [tex]m^{2} - 100 = -99[/tex]
Hence, the equation can be used to find m, is [tex]m^{2} -100 = -99[/tex].
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Goran rented a truck for one day. there was a base fee of $15.99, and there was an additional charge of 96 cents for each mile driven. goran had to pay $288.63 when he returned the truck. for how many miles did he drive the truck?
Answers
272.64÷0.96= 284 miles
12x=4(x-5) then x equals?
Answers
distributive property to get rid of parenthesis 12x=4x-20
subtract x from one side to get the variable on one side 8x=-20
divide 8 by -20
x=-2.5
40 is rounded to the nearest whole write down the maximum possible length it could have been
Answers
The maximum length the number could have been before being rounded down to 40 is just under 40.5 since that is the point at which it would round up to 41.
Explanation:The question pertains to rounding numbers to the nearest whole number. When rounding the number 40 to the nearest whole, we'd like to find the maximum length it could have been before rounding down. The process of rounding will round a number to the nearest whole number based on the decimal value. For instance, if you are rounding to the nearest whole number, a number with a decimal part of 0.5 or higher will round up, while a number with a decimal part of less than 0.5 will round down.
Given that 40 is already a whole number, this implies it could have been rounded down from a number up to one decimal less than 40.5 since any number 40.5 and above would round up to 41. Hence, the maximum possible length it could have been before rounding down is just under 40.5.
Traveling at 45 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 240 miles from Orlando to Miami?
a. 5
b. 195
c. 285
d. 320
Answers
D. 320 would be the correct answer.
Question. I have some math problems that I really need help with and this is all new to me. The direction are as follows:
Combine like terms 7x4 -5x4 the number four is square root. I don't understand at all what to do. Please help.
Answers
Answer:
-7 + x + 4 + 4x = x - 3 + 6 + 3x
Step-by-step explanation:
break apart and distribute to solve 72÷8
72÷8=(40÷8)+(32÷8)
9=5+4
9=9
Answers
Answer:
72 ÷ 8 is equal to 9
Step-by-step explanation:
If we want to solve 72 ÷ 8 by breaking apart and distributing, the first step is to write the number ''72'' as the sum or subtraction of two numbers that are divisible by ''8''.
We can write :
[tex]72 = 40+32[/tex]
If we replace this last expression in the original one :
72 ÷ 8 = (40 + 32) ÷ 8 (II)
Now in (II) we can use the distributive property of the division :
(40 + 32) ÷ 8 = (40 ÷ 8) + (32 ÷ 8) (III)
Finally, we need to solve the expression (III) :
(40 ÷ 8) + (32 ÷ 8) = 5 + 4 = 9
We find that 72 ÷ 8 is 9 by breaking apart and then distributing.
John has read the first 114 pages of a novel. He has read 3 pages less than one-third of the novel.
Write an equation to describe the total number of pages p in the novel, and find the value of p.
Answers
novels total page x
1/3x-3=114
1/3x=117
x=3.117
x=351
he says he read 1/3 of his novel. Let x represent number of pages of the novel.
1/3x is one third of that novel.
3 pages less than one third is:
1/3x - 3
and that represents 114 pages that he read.
now we make that equal to 114 and solve for x
1/3x - 3 = 114
1/3x = 114 + 3 = 117
x = 351
Answer is 351 pages
The product of eight minus a number and seven equals forty when decreased by five. Which equation represents the sentence?
Answers
So, you are multiplying (8-n), where n = "a number," by 7.
Then, when you decrease (subtract) this product by 5, you get 40.
So the whole thing looks like
7(8-n) - 5 = 40.
Calculate the area of a circle with a radius of 5
Answers
A= pi (3.14) x 5^2
A = 78.54
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During the National Football League’s 1999 season, Troy Aikman, the quarterback for the Dallas Cowboys, earned $0.467 million more than Deion Sanders, the Cowboys cornerback. Together they cost the Cowboys $12.867 million. How much did each player make?
Answers
Troy Aikman make 6667000 and Deion Sanders makes 6200000 for the Cowboys cornerback.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Troy Aikman, the quarterback for the Dallas Cowboys, earned $0.467 million more than Deion Sanders
Let Deion Sanders earning is x.
Troy Aikman earning is x+467000
Together they cost the Cowboys $12.867 million
x+x+467000=12867000
2x+467000=12867000
Subtract 467000 on both sides
2x=12867000-467000
2x=12400000
Divide both sides by 2
x=6200000
So Troy Aikman make 6200000+467000=6667000 and
Deion Sanders makes 6200000
Hence Troy Aikman make 6667000 and Deion Sanders makes 6200000 for the Cowboys cornerback.
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Is this sequence arithmetic, geometric or neither? 4, 8, 16, 32, 64,...
Answers
So, the first value, 4, is 2^(1+1). 8 is 2^(2+1), etc, etc.
Answer:
geometric sequence
Write the time 12 hours after 8 p.m. use an or pm
Answers
2)10pm
3)11pm
4)12am
5)1 am
6) 2 am
7) 3 am
8) 4 am
9)5 am
10) 6 am
11) 7 am
12) 8 am
Charlie needs to simplify the
Answers
For example :
(A+B)/C = A/C + B/C.
Then it would be
X^18 y^12/x^3 y^4 + x^9 y^8/x^3 y^4
X^15 y^8 + x^6 y^4.
The solution is D.
Answer:
d
Step-by-step explanation:
A college class with 30 sophomores, 18 juniors, and 12 seniors is
divided into project groups where each group has the same number
of sophomores, juniors, and seniors. What is the greatest number of
groups that can be formed? How many sophomores, juniors, and
seniors are in each project group?
Answers
The maximum number of project groups can be formed is 5 and the number of sophomores, juniors, and seniors within each group will be 5, 3 and 2 respectively.
To find the greatest number of groups that can be formed with the given distribution of students,
Identify the common factor: The greatest common factor of 30, 18, and 12 is 6.
Calculate groups: Divide each class by 6: 30 sophomores ÷ 6 = 5, 18 juniors ÷ 6 = 3, and 12 seniors ÷ 6 = 2. Therefore, the maximum number of groups that can be formed is 5.
The area of a triangle is 25 sq cm and the base of the triangle is 5 cm. Which equation could be used to find the height of the triangle?
A.
B.
C.
D.
Answers
Area=base×height/2
25=5×height/2
5×2=height
height=10
what is the equivalent ratio to 12:20
Answers
3:5
Which of the points shown below are on the line given by the equation y = 5x? Check all that apply.
A. Point A: (5, -1)
B. Point B: (1, 5)
C. Point C: (0, 0)
D. Point D: (-3, 2)
Answers
The correct Options are B and C.
What is Function of graph ?The collection of all points in the plane with the form (x, f(x)) that make up a function f's graph. We may alternatively say that the graph of f is the graph of y = f. (x). As a result, the graph of an equation is a particular instance of the graph of a function. Allow f(x) to equal x2 - 3.The graph is a function if a vertical line drawn across it is moved and only ever touches it at one point.To solve y = 5x we check all options in equation by value putting.
let y = 5x .......................(1)
Put point A ( 5, -1) in equation (1)
So, x = 5 & y = -1
y = 5x ⇒ -1 = 5 ×5= 25
Put point B (1,5) in equation (1)
So, x = 1 & y = 5
y = 5x ⇒ 5 = 5 × 1 = 5
Put point C (0,0) in equation (1)
x = 0 & y = 0
y = 5x ⇒ 0 = 5 × 0 =0
Put point D ( -3 ,2) in equation (1)
x = -3 & y = 2
y = 5x ⇒ 2 = -3× 2 = -6
In all these points , B & C points are have same value on both side.
So, we can say that b&c are the points which are shown on the line.
Therefore, The correct Options are B and C.
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at her job, mary works 4 hours on monday, 3 hours on wednesday, and 6 hours on saturday. her boss adds a $10 bonus to her paycheck, which then totals $120.50. what is mary's hourly pay?
a. $8.50
b. $9.27
c. $5.24
d. $8.05
Answers
13x=110.50
x=8.5
so she makes $8.50 an hour which is A.
Which sequence of transformations creates a similar, but not congruent, triangle?
Rotation and translation
Reflection and rotation
Dilation and rotation
Translation and reflection
Answers
This is not the case with D, however, as length/shape of a triangle is changed, and therefore, it is not a congruent, but a similar triangle.
The correct answer is translation and reflection.
Answer:
I checked and D isn't the right answer I tried it on the test and got it wrong but I guessed the second time and I got it right so the real answer is Dilation and rotation.
In which case do you need to reverse the inequality sign when solving an inequality?
when adding or subtracting a negative number
when multiplying or dividing by a negative number
when there is a line under the equality symbol
where there is no line under the equality symbol
Answers
if you DON'T flip the sign, you usually end up with a "backwards" inequality, such as 4 < x, but the rules tell you to write "4 is less than x" as "x is greater than 4" (x > 4) so you end up rearranging the sign anyways--it's just easier to do it as you go.