The height of a right cone is 42 units.
What is the volume of a right cone?The area or volume occupied by a right circular cone is referred to as the right circular cone's volume. A three-dimensional solid object called a right circular cone has a pointed end on one side and a circle on the other. The vertex of the cone is another name for the sharp end. A cone with a right circular shape is one whose axis is parallel to the base plane.
Here, we have
Given: The volume of a right cone is 2016\piπ units^3. If its diameter measures 24 units
Height of the cone = Volume of a cone ÷ 1/3(πr²)
Where:
π = 22/7
r = radius = diameter / 2 = 24 / 2 = 12 units
h = height
2016π÷ (1/3 x π x 12²) = 42 units
Hence, the height of a right cone is 42 units.
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Please use this function machine to answer the following question: If 3 was an input into Bucky's function machine, what would the output be of Badger's function machine?
The output of Badger's function machine when the input is 3.
To find the output of Badger's function machine, we need to first find the output of Bucky's function machine when the input is 3.
1. Input 3 into Bucky's function machine.
2. Follow the instructions on the function machine to find the output.
3. Input the output from Bucky's function machine into Badger's function machine.
4. Follow the instructions on Badger's function machine to find the final output.
Without knowing the specific instructions on the function machines, it is impossible to give a specific answer.
However, by following these steps, you can find the output of Badger's function machine when the input is 3.
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(4) Let ((2) = ve
- 4 and g(2) =
12
11r + 30. Find 1 and & and state their domains.
Let f(x) = Va - 4 and g(x) = 2?
- 11r +30. Find 1 and 9 and state their domains.
Let ((2) = ve- 4 and g(2) = 12 11r + 30. Then f(1) = i√3, g(1) = 21, Domain of f(x) = [4, ∞) and Domain of g(x) = (-∞, ∞)
First, let's find f(1) and g(1). To do this, we simply substitute x = 1 into the equations for f(x) and g(x):
f(1) = √(1 - 4) = √(-3) = i√3
g(1) = 2(1) - 11(1) + 30 = 2 - 11 + 30 = 21
Now, let's find the domains of f(x) and g(x). The domain of a function is the set of all values of x for which the function is defined.
For f(x) = √(x - 4), the expression inside the square root must be greater than or equal to 0 in order for the function to be defined. This means that:
x - 4 ≥ 0
x ≥ 4
So the domain of f(x) is [4, ∞).
For g(x) = 2x - 11x + 30, there are no restrictions on the domain, so the domain of g(x) is (-∞, ∞).
So the final answers are:
f(1) = i√3
g(1) = 21
Domain of f(x) = [4, ∞)
Domain of g(x) = (-∞, ∞)
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8.53 A random variable X has the normal distribution N(m, o2), where mo e R, if it is an absolutely continuous random variable with density (x - m) fx(x) = exp 202 Verify that fx is indeed a density.
∫fx(x)dx = 1 over the entire range of x, and fx is indeed a density function.
A random variable X has the normal distribution N(m, o^2), where m and o are both real numbers, if it is an absolutely continuous random variable with density fx(x) = (1/√(2πo^2)) * exp(-(x-m)^2/2o^2).
To verify that fx is indeed a density, we need to check that it satisfies the two properties of a density function:
1) fx(x) >= 0 for all x
2) ∫fx(x)dx = 1 over the entire range of x
First, let's check that fx(x) >= 0 for all x. Since the exponential function is always positive, we can see that fx(x) will always be positive as well. Therefore, fx(x) >= 0 for all x.
Next, let's check that ∫fx(x)dx = 1 over the entire range of x. To do this, we need to integrate fx(x) over the entire range of x, which is from -∞ to ∞:
∫fx(x)dx = ∫(1/√(2πo^2)) * exp(-(x-m)^2/2o^2)dx from -∞ to ∞
Using the substitution u = (x-m)/√(2o^2), we can rewrite the integral as:
∫(1/√(2πo^2)) * exp(-u^2/2) * √(2o^2)du from -∞ to ∞
Simplifying, we get:
∫(1/√(2π)) * exp(-u^2/2)du from -∞ to ∞
This integral is equal to 1, as it is the integral of the standard normal density function. Therefore, ∫fx(x)dx = 1 over the entire range of x, and fx is indeed a density function.
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Solve for w |w|-20=-13 If there is more than one solution, If there is no solution, click on "No
w |w|-20=-13
w = 7 and w = -33
A. For this equation, we have to solve for the absolute value of w.
An absolute value equation can be thought of as two equations in one, so we need to solve for both cases.
B.
Case 1: w > 0
w - 20 = -13
w = 7
Case 2: w < 0
w + 20 = -13
w = -33
Therefore, the solution to this absolute value equation is w = 7 and w = -33.
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Workspace: Given pardlelogram WxY 2, where Wxx =2x+15,xY= x+27 and yz=4x-21, delemine the length of 2W in inches.
The length of 2W in inches can be calculated by using the measurements of the parallelogram. Wxx is 2x+15, and xY is x+27. Since the length of W xx and xY is referring to the same line, x+27=2x+15. Solving for x, x=12. Knowing the value of x, Wxx=2(12)+15=39 inches and xY=12+27=39 inches. Therefore, 2W=2(39)=78 inches.
The length of a line in a parallelogram can be calculated by adding the two measurements of the two lines containing the same point. Since the line containing point W is the same line containing point x, the two measurements can be solved for the same variable, x. Once the variable is determined, the value of the two lines containing the same point can be determined. The value of the two lines can then be multiplied by 2 to determine the length of the line in the parallelogram.
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Diana is a junior counselor at cactusville craft camp. One day, diana's campers make lanyard keychains out of plastic string. For each keychain, diana cuts a long piece of string into 8 equal pieces. Each piece is 1. 25 feet long. Which equation can you use to find the length s of the long piece of string before diana cuts it?
Answer:777
Step-by-step explanation:888
The equation which we can use to find the length "s" of long piece of string before Diana cuts it is (a) 8s = 1.25.
In order to find the length "s" of the long piece of string, we need to multiply the length of each of the 8 equal pieces of string by 8, because they are all cut from the same long piece of string.
So, the equation we can use to find the length s of the long piece of string before Diana cuts it is:
⇒ 8 × 1.25 = s,
Simplifying the equation:
We get,
⇒ 10 = s
Therefore, the correct equation is option(a) 8s = 1.25.
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The given question is incomplete, the complete question is
Diana is a junior counselor at Cactus Ville craft camp. One day, Diana's campers make lanyard keychains out of plastic string. For each keychain, Diana cuts a long piece of string into 8 equal pieces. Each piece is 1. 25 feet long.
Which equation can you use to find the length s of the long piece of string before Diana cuts it?
(a) 8s = 1.25
(b) s - 8 = 1.52
(c) s + 8 = 1.25
(d) s/8 = 1.25
Help with geometry on parallelograms.
x and y must have values of 3 and 11, respectively.
What is a Parallelogram?
A parallelogram is a geometric shape with sides that are parallel to one another in two dimensions. It is a form of polygon with four sides (sometimes known as a quadrilateral) in which each parallel pair of sides have the same length. A parallelogram has adjacent angles that add up to 180 degrees.
The angles in a parallelogram are given in the diagram.
As opposite sides are equal and parallel in a parallelogram, the alternate interior angles must also be the same.
This gives:
5y - x = 52 ...(i)
6y - 18 = 48 ...(ii)
Solving (ii)
6y = 66
y = 11
Substituting in (i)
5(11) - x = 52
x = 3
The values of x and y must be 3 and 11 respectively.
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Let \( f(x)=\frac{x-3}{x^{2}+2} \) (a) What is the value of \( f(-2) \) ? (b) Find \( f(-2 x-5) \). Simplify your \[ \frac{-2 x-8}{4 x-27} \]
Therefore, f(-2x-5) is \[ \frac{-2(x+4)}{4(x+3)^{2}}=\frac{-2 x-8}{4 x^{2}+24 x+36} \]
(a) To find the value of f(-2), we simply substitute -2 for x in the given function:
\[ f(-2)=\frac{-2-3}{(-2)^{2}+2}=\frac{-5}{6} \]
Therefore, the value of f(-2) is -5/6.
(b) To find f(-2x-5), we substitute -2x-5 for x in the given function:
\[ f(-2x-5)=\frac{-2x-5-3}{(-2x-5)^{2}+2}=\frac{-2x-8}{4x^{2}+20x+27} \]
Simplifying the numerator and denominator, we get:
\[ f(-2x-5)=\frac{-2(x+4)}{4(x+3)(x+3)}=\frac{-2(x+4)}{4(x+3)^{2}} \]
Therefore, f(-2x-5) is \[ \frac{-2(x+4)}{4(x+3)^{2}}=\frac{-2 x-8}{4 x^{2}+24 x+36} \]
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H + 11 < 16 what do u divide by and what would be the answer?
Step-by-step explanation:
please answer this question quickly
Answer:
H<5
Step-by-step explanation:
u solve it as a normal equation but with the symbol <.
Match the expression to the exponent rule. One rule will not be used.
Answer:
Step-by-step explanation:
from top down:
xᵃ⁻ᵇ
xᵃ⁺ᵇ
1
xᵃˣᵇ
1/xᵃ
To thank her five volunteers, Mai gave each of them the same number of stickers. Then she gave them each two more stickers. Altogether, she gave them a total of 30 stickers.
"explain plsss"
Answer:
30 = 2x + 4
Step-by-step explanation:
2x5= 10
30- 10 = 20
20/5= 4
4+2 = 6
Mei gave each student 6 stickers
A small company has the marketing information that 35 units will sell daily at a price of $34.75 per unit, and that sales will rise to 36 units per day at a price of $33.06 per unit. Use this information to create a linear demand function, then create the associated revenue function and find the price that will yield the maximum revenue.
The linear demand function is given by Q = -1.09P + 76.4, the revenue function is R = -1.09P^2 + 76.4P, and the price that yields maximum revenue is $34.95.
To create the linear demand function, we use the two points given: (35, 34.75) and (36, 33.06). We can find the slope of the line between these two points using the slope formula: (33.06 - 34.75)/(36 - 35) = -1.69. This slope represents the change in quantity demanded per dollar change in price. To find the intercept, we can use either of the points and solve for it: 35 = -1.69(34.75) + b, giving us b = 131.15. Thus, the demand function is Q = -1.69P + 131.15, which we can simplify to Q = -1.09P + 76.4.
To find the revenue function, we multiply the demand function by the price: R = P(Q) = P(-1.09P + 76.4) = -1.09P^2 + 76.4P. To find the price that yields maximum revenue, we can take the derivative of the revenue function with respect to price and set it equal to zero: dR/dP = -2.18P + 76.4 = 0, giving us P = $34.95. Therefore, the price that yields maximum revenue is $34.95.
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Find the the measure of ktr give some explanation
We're required to find the value of angle KTR.
It can easily be seen that angle KTR and angle BTF are vertically opposite angles.
Vertically opposite angles are the angles formed due to intersection of two lines and they are equal in measure.[tex]\therefore \: \angle \: KTR= \angle \: BTF \: \\ \implies \: 4h + 160 = 3h + 156 \\ grouping \: the \: like \: terms \: at \: either \: sides \\ \implies \: 4h - 3h = 156 - 160 \\ \implies \: \boxed{h = - 4\degree}[/tex]
now ,
[tex]\angle \: KTR \: = 4h + 160 \\ \implies \: \angle \:KTR \: = 4( - 4) + 160 \\ \implies \: \angle \: KTR \: = - 16 + 160 \\ \implies \:\boxed{ \angle \:KTR = 144\degree}[/tex]
hope helpful! :)
Find 3 ratios that are equivalent to the given ratio 7:11
hi, attached is the answer
Hope this helps:)
Computations In Exercises 1 through 6, list the elements of the subgroup generated by the given subset. 1. The subset{2,3}ofZ122. The subset{4,6}ofZ123. The subset{8,10}ofZ18(4.) The subset{12,30}ofZ365. The subset{12,42}ofZ6. The subset{18,24,39}ofZ
{18, 36, 24, 48, 39, 72}
In Exercises 1-6, the subgroup generated by the given subset is a set of elements that are all powers of the same element.
1. The subset {2,3} of Z12 generates the subgroup {2, 4, 8, 3, 9, 6, 12}.
2. The subset {4,6} of Z12 generates the subgroup {4, 8, 6, 12}.
3. The subset {8,10} of Z18 generates the subgroup {8, 16, 10, 18}.
4. The subset {12,30} of Z36 generates the subgroup {12, 24, 30, 36}.
5. The subset {12,42} of Z6 generates the subgroup {12, 6}.
6. The subset {18,24,39} of Z generates the subgroup {18, 36, 24, 48, 39, 72}.
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Determine whether the ordered pair is a solution of (5,6) {(x+y=11),(x-y=-1):} No Yes
Yes, the ordered pair (5,6) is a solution of the system of equations {(x+y=11),(x-y=-1):}.
To check if an ordered pair is a solution of a system of equations, we can plug the values of the ordered pair into the equations and see if they are true.
For the first equation, x + y = 11, we can plug in 5 for x and 6 for y:
5 + 6 = 11
This is true, so the ordered pair satisfies the first equation.
For the second equation, x - y = -1, we can again plug in 5 for x and 6 for y:
5 - 6 = -1
This is also true, so the ordered pair satisfies the second equation.
Since the ordered pair satisfies both equations, it is a solution of the system of equations.
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solve the simultaneous equation
a)
5x+3y=41
2x+3y=40
b)
x+7y=64
x+3y=28
HELPPP
Answer:
a) (0.333, 13.11)
b) (1, 9)
Step-by-step explanation:
a)
5x+3y=41
2x+3y=40
[The steps are labelled so they can be referenced in the subsequent problems]
A. Rearrange one of the two equations so as to isolate the x or y to one side. I'll use 2x+3y=40:
2x+3y=40
2x = 40-3y
x = (40-3y)/2
B. Now use that expression of x in the other equation:
5x+3y=41
5((40-3y)/2)+3y=41
(200-15y)/2 +3y = 41
100 - 7.5y + 3y = 41
-4.5y = - 59
y = 13.11
C. Now use y=13.11 in either equation to find x:
2x+3y=40
2x+3*(13.11)=40
2x + 39.33 = 40
2x = 0.67
x = 0.333
D. Answer: The lines intersect at (0.333, 13.11)
b)
x+7y=64
x+3y=28
A.
x+7y=64
x=64-7y
B.
x+3y=28
(64-7y)+3y=28
64-4y = 28
-4y = -36
y = 9
C.
x=64-7y
x=64-7*9
x = 1
D. Answer: The lines intersect at (1, 9)
See the attached graph for proof of the points of intersection.
HELPPP PROVIDED (I hope)
What is the distance between the points (13 , -18) and (-10 , -18) in the coordinate plane?
what is the answer
Answer:
23
Step-by-step explanation:
A hardcover book sells for 1995 php in an online bookstore. The royalties paid to the author is based on the following scheme: 5% on the first 3,000 copies sold, and 15% on any additional copies. When the 5,000th book is sold, how much will the author have received? A. 897, 750Php B. 299, 250Php C. 598, 500Php D. 1,496,250Php
The correct answer is B. 299,250Php.
To find out how much the author will have received when the 5,000th book is sold, we need to calculate the royalties for the first 3,000 copies and then the royalties for the additional 2,000 copies.
For the first 3,000 copies, the author will receive 5% of the sale price:
3,000 x 1995Php x 0.05 = 299,250Php
For the additional 2,000 copies, the author will receive 15% of the sale price:
2,000 x 1995Php x 0.15 = 598,500Php
Adding these two amounts together gives us the total amount the author will have received:
299,250Php + 598,500Php = 897,750Php
Therefore, the correct answer is B. 299,250Php.
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Are the ratios 3:6 and 2:4 equivalent? ) yes no
Answer:
Yes, the ratios 3:6 and 2:4 are equivalent because they represent the same proportion. To confirm, we can simplify both ratios to their simplest form:
3:6 can be simplified by dividing both terms by 3: 3/3 : 6/3 -> 1:2
2:4 can be simplified by dividing both terms by 2: 2/2 : 4/2 -> 1:2
Since both ratios simplify to the same ratio, 1:2, they are equivalent.
Answer: yes !!
Step-by-step explanation: 3:6 and 2:4 are equivalent b/c of their common factors.
question. Question 14 When simplifying the following expression, the first step would be to add eight and two. 5-8+2 True False
The given statement "When simplifying the expression 5-8+2, the first step would be to add eight and two" is false because of the PEMDAS rule.
According to the order of operations (PEMDAS), we need to perform any calculations inside parentheses first, then exponents, then multiplication and division from left to right, and finally addition and subtraction from left to right.
In this case, there are no parentheses or exponents, so we can move on to addition and subtraction from left to right.
The first step would actually be to subtract 8 from 5, giving us -3. Then we would add 2 to -3, giving us a final answer of -1.
Therefore, the correct answer is False.
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what is the rule dividing integers with different signs
Which side lengths form a triangle? (Choose all that apply.)
1
2
3
4
5
6
7
8
Answer:
djdjdhdudjdhxnfbxi94949495959584748474748494949585858595959585858585858585859696969485858589484748487474747383392929२९३9999४४६५८४९२84८३4६३०२०८४७४94८८४७४९8४८४८४८४८४८48484८5८५८५८४८३९2९२919९२9३76४७४7७४७४7४5959999393939393939494949449494949494998595859303099
If f(x) = 3x² + 2x - 10, what is f(2)?
Answer:
f(2)=3x²+2x-10
f(2)=3(2)² +2(2)-10
=12+4-10
=6
Rochelle has 6 pounds of grass seed. She
uses
1 1/3 pounds on the front yard and
1 4/9 pounds on the side yard. How many
pounds are left?
Answer:
6 - (1 1/3 + 1 4/9)
6 - 2 7/9
= 29/9
= 3 2/9
Therefore, 3 2/9 pounds of grass seed are left.
(1 point) Given the function f(x)=x+3x−8 find the following. (a)
the average rate of change of f on [−3,1]: (b) the average rate of
change of f on [x,x+h]:
a) The average rate of change of f on [−3,1] is 4.
b) The average rate of change of f on [x,x+h] is 3+16/h.
The average rate of change of a function f(x) on an interval [a,b] is given by the formula:
Average rate of change = (f(b)-f(a))/(b-a)
(a) To find the average rate of change of f on [−3,1], we plug in the values of a=-3 and b=1 into the formula:
Average rate of change = (f(1)-f(-3))/(1-(-3))
= (f(1)-f(-3))/4
Now, we need to find the values of f(1) and f(-3) by plugging in the values of x into the given function:
f(1)=1+3(1)-8=-4
f(-3)=-3+3(-3)-8=-20
Plugging these values back into the formula, we get:
Average rate of change = (-4-(-20))/4
= 16/4
= 4
Therefore, the average rate of change of f on [−3,1] is 4.
(b) To find the average rate of change of f on [x,x+h], we plug in the values of a=x and b=x+h into the formula:
Average rate of change = (f(x+h)-f(x))/(x+h-x)
= (f(x+h)-f(x))/h
Now, we need to find the values of f(x+h) and f(x) by plugging in the values of x and x+h into the given function:
f(x+h)=x+h+3(x+h)-8
=4x+3h-8
f(x)=x+3x-8
=4x-8
Plugging these values back into the formula, we get:
Average rate of change = (4x+3h-8-(4x-8))/h
= (3h+16)/h
= 3+16/h
Therefore, the average rate of change of f on [x,x+h] is 3+16/h.
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An online video streaming service offers two plans for unlimited streaming.
Plan A has a one-time $8 membership fee and is $25 per month.
Plan B has a $12 membership fee and is $5 per month.
Write a system of equations that represents the two plans.
The system of equations for the two plans is:
y = 8x + 25
y = 12x + 5
How to Write a System of Equations?To write a system of equations for each plan, let:
x = number of month
y = Total amount
Equation of plan A:
one-time membership fee = initial value or y-intercept (b) = 8
Monthly fee per month = slope/unit rate (m) = 25
The equation would be y = 8x + 25
Equation of plan B:
one-time membership fee = initial value or y-intercept (b) = 12
Monthly fee per month = slope/unit rate (m) = 5
The equation would be y = 12x + 5
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The circumstance of a circle is 26 5/7ft
What is the approximate diameter of the circle?
The approximate diameter of the circle is 8.5 ft.
What is area of a circle?The space a circle takes up on a two-dimensional plane is known as the area of the circle. Alternately, the area of the circle is the area included inside the circumference or perimeter of the circle. For measuring the area occupied by a circular field or plot, use the area of a circle formula. The area formula will allow us to determine how much fabric is required to completely cover a circular table, for example. The area formula will also enable us to determine the circle's circumference, or the border length.
The circumference of the circle is given as:
C = 2 πr
We can also write this as:
C = πd
as, 2r = d.
The circumference is given as 26 5/7ft. To convert this to a decimal, we can multiply the fractional part by 7/7 to get:
5/7 * 7/7 = 35/49
So the circumference is approximately:
26 + 35/49 = 26.71 ft
Now we can use the formula to find the diameter:
d = 26.71 / 3.14 ≈ 8.5 ft
Therefore, the approximate diameter of the circle is 8.5 ft.
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What is the surface area of the cube? (10 Points)
Drag and drop the correct surface area to match the cube.
Cube with edge length = 3.2 m
Options:
A) 12.8 m2
B) 19.2 m2
C) 51.2 m2
D) 61.44 m2
HURRY!!!
Answer:
D is correct
Step-by-step explanation:
please help me asap!!
What is the missing reason in the following proof?
Answer:
think its this not sure : Alternate interior angles theorem
Step-by-step explanation: