We need 1.5 or 3/2 full cones to fill the cylinder completely.
We have,
Let's assume that the diameter and height of the cylinder are D and H, respectively.
Since the cone has the same diameter as the cylinder, its radius is half of the diameter or D/2.
Since the cone has half of the height of the cylinder, its height is H/2.
The volume of the cylinder is given by the formula.
V cylinder = π(D/2)² H.
The volume of the cone is given by the formula.
V cone = 1/3 π(D/2)² (H/2).
To fill the cylinder completely with water using the cone, we need to find out how many cones are required to fill the cylinder.
Let's set up an equation using the volumes of the cylinder and cone:
Number of cones needed = V cylinder / V cone
Substituting the formulas for the volumes.
Number of cones needed = [π(D/2)² H] / [1/3 π(D/2)² (H/2)]
Simplifying this expression, we get:
Number of cones needed = 3(H/2) / H
Number of cones needed = 3/2
Therefore,
We need 1.5 or 3/2 full cones to fill the cylinder completely.
Since we cannot have half a cone, we need 2 full cones to fill the cylinder completely.
Learn more about cones here:
https://brainly.com/question/13798146
#SPJ1
Circuit Masters Incorporated (CMI) is presently operating at 80% of capacity and manufacturing 113,000 units of a patented electronic component The Raw materials Direct labor Variable overhead Fixed overhead Required: The cost structure of the component is as follows: An Italan firm has offered to purchase 21,500 of the components at a price of $31.50 per unit, FOB CMl's plant. The normal selling price is $36.50 per component. This special order will not affect any of CMI's "normal" business. Management calculated that the cost per component is $28.90, so it is reluctant to accept this special order. $ 7.5e per unit 7.50 per unit 9.50 per unit Calculate the fixed overhead per unit? re to search S 497,200 per year b. Is the cost calculation appropriate? c. Should the offer from the Italian firm be accepted? Complete this question by entering your answers in the tabs below. Reg B and C
The fixed overhead cost per unit is $3.52. The cost calculation is appropriate as it includes all relevant costs. Accepting the special order would result in a profit of $2.60 per unit, which is lower than the normal profit of $7.60 per unit. Therefore, CMI should not accept the special order.
To calculate the fixed overhead per unit, we need to use the following formula
Fixed overhead per unit = Total fixed overhead / Total units produced
From the given information, we know that CMI is manufacturing 113,000 units of the component and operating at 80% of capacity. So the total units that can be produced are
Total units = 113,000 / 0.8 = 141,250 units
We are also given that the fixed overhead cost is $497,200 per year. To calculate the fixed overhead per unit, we divide this amount by the total units produced
Fixed overhead per unit = $497,200 / 141,250 = $3.52 per unit
Therefore, the fixed overhead per unit is $3.52.
Based on the information given, the cost calculation appears to be appropriate as it includes all the relevant costs such as raw materials, direct labor, variable overhead, and fixed overhead.
However, we cannot determine the accuracy of the cost calculation without knowing the details of how each cost component was determined.
To decide whether to accept the offer from the Italian firm, we need to compare the special order price of $31.50 per unit to the normal selling price of $36.50 per unit, as well as the cost per unit of $28.90. Since the special order price is higher than the cost per unit, accepting the order would generate a positive contribution margin of
Contribution margin = Special order price - Cost per unit
Contribution margin = $31.50 - $28.90 = $2.60 per unit
However, the contribution margin of $2.60 per unit is lower than the normal contribution margin of
Normal contribution margin = Normal selling price - Cost per unit
Normal contribution margin = $36.50 - $28.90 = $7.60 per unit
Therefore, accepting the order would result in a lower contribution margin and lower profitability. However, if CMI has excess capacity and can easily fulfill the order without impacting its normal business, it may still be worthwhile to accept the order.
To know more about contribution margin:
https://brainly.com/question/29534784
#SPJ1
Really need help on this one please
Please help will mark brainiest
Use the red point in your equation. Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
Step-by-step explanation:
They want you to write an equation using point-slope form.
y-y₁=m (x-x₁)
We can find the slope m from counting
I counted from the red dot to (-400,-200) that looks like the next time it hits the grid perfectly
m= rise/run= 400/500 > divide both top and bottom by 100
m= 4/5 > reduced
point( -900, -600)
y-y₁=m (x-x₁)
y-(-600)=4/5(x-(-900)) >simplify negatives
y+600 = 4/5(x+900) > this is point slope form
You can simplify to y=mx+b slope-intercept, not sure which form they want.
y+600 = 4/5(x+900) >distribute
y+600 = 4/5x + 720 >subtract 600 from both sides
y=4/5x + 120
Need help with this problem
After dilatation around T with scale factor k, the coordinates of S are (4 + 3k, -3 + 12k).
How to determine dilation?Let the scale factor be k. To find the coordinates of S after dilation about point T with scale factor k, use the following formula:
S' = T + k(S - T)
where S' is the image of S after dilation.
Plugging in the values:
S' = (4, -3) + k[(7, 9) - (4, -3)]
S' = (4, -3) + k(3, 12)
S' = (4 + 3k, -3 + 12k)
Therefore, the coordinates of S after dilation about T with scale factor k are (4 + 3k, -3 + 12k).
Find out more on dilation here: https://brainly.com/question/20482938
#SPJ1
I need help with this please
The ordered pair that represents the week before is given as follows:
A. (1,7).
How to define the ordered pair?The general format of an ordered pair is given as follows:
(x,y).
In which the coordinates are given as follows:
x is the x-coordinate.y is the y-coordinate.The meaning of each coordinate in this problem is given as follows:
x: chores.y: homework.For the current week, the ordered pair is given as follows:
(5,3).
For the previous week, the total number of hours was the same, that is, 5 + 3 = 8, however with x = 1 and y = 8 - 1 = 7, as only one hour was spent on chores.
Thus option A is correct.
More can be learned about ordered pairs at brainly.com/question/1528681
#SPJ1
Type the correct answer in the box. Spell all words correctly.
What type of object will Darlene get on extruding a polygon of five sides?
Darlene is extruding a polygon of five sides. The end result will be a ________ .
Darlene is extruding a polygon of five sides. The end result will be a pentagonal prism.
What is extrusion ?Extrusion represents a 3D modeling technique that involves extending a two-dimensional shape into a three-dimensional object by pulling it along a given path. In this particular case, Darlene is applying extrusion to a polygon comprising of five sides, thereby stretching out the two-dimensional figure along a trajectory to yield a novel 3D construct.
It is worthy of mention that the structure obtained following the process solely depends on the pathway employed by Darlene in carrying out the extrusion procedure. Should she choose a direct line, the resulting creation will be a prism having five sides i.e. pentagonal prism.
Find out more on polygons at https://brainly.com/question/17423117
#SPJ1
Create a dot plot of the data shown below.
20, 21, 21, 25, 20, 23, 27, 23, 24, 25, 26, 24, 23, 22, 24
Which measure of center would best describe a typical
value of the data set? Why?
would be best,
The mean
because the data distribution is
V nearly symmetrical
Intro
Click or tap the number line to add a dot.
20 21
22
23 24 25 26 27 28 29
Reset
Based on the data, the mean would be the best measure of center to describe a typical value in the data set.
How to create a dot plot with the given data?To create a dot plot, we can list the numbers in order and place a dot above the corresponding value on the number line.
20 ••
21 ••
22 •
23 ••••
24 •••••
25 ••
26 ••
27 •
The dot plot shows a relatively symmetric distribution of the data, with the majority of values clustered around the middle. Therefore, the mean would be a good measure of center to describe a typical value of the data set.
Learn more about dots plot in: https://brainly.com/question/22746300
#SPJ1
Determine whether C. C, both, or neither can be placed in the blank to make the statement true.
(T. R. C) (T. R. C. V)
Choose the correct answer below.
OOnly C
O Only S
O Both C & C
O None of the above
As
2
CICCERR
The statement "As2C__CERR" can be completed by adding either "O" or "S" between the two carbon atoms "As2CO" and "As2CS" to make a valid chemical formula.
"As2CO" represents the compound dicarbonyl di-σ-carbon, which has two carbon atoms bonded by two double bonds and two oxygen atoms, while "As2CS" represents the compound bis(σ-carbene) diarsene, which has two carbon atoms bonded to two arsenic atoms by two double bonds.
Therefore, both "O" and "S" can be placed in the blank to make the statement true, since they represent valid chemical formulas for different compounds.
In summary, the answer to the question is "Both C & CO" since both "As2CO" and "As2CS" are valid compounds that can be formed by adding either "O" or "S" between the two carbon atoms in the given statement. This is an example of how the placement of different atoms or molecules in a chemical formula can result in distinct compounds with different properties and applications.
Know more about Carbon atom here:
https://brainly.com/question/13255170
#SPJ11
Hallar la velocidad final de un móvil, si este parte con una velocidad inicial de 60 m/s; al cabo de 12 s, si tiene una aceleración de 2 m/s2.
Answer:
84 m/s.
Explanation:
una de las fórmulas que se pueden usar para encontrar la velocidad final de un móvil es v = u + at, donde v es la velocidad final, u es la velocidad inicial, a es la aceleración y t es el tiempo. En este problema, se nos da la velocidad inicial (u = 60 m/s), la aceleración (a = 2 m/s^2) y el tiempo (t = 12 s). Podemos sustituir estos valores en la fórmula y resolver para v. v = u + at v = 60 + 2(12) v = 60 + 24 v = 84 m/s Por lo tanto, la velocidad final del móvil es 84 m/s
DO THE MATH: The price of corn starts at Pa = $11 per bushel and a quantity
demanded of Qa =
230 bushels. If the price falls to Pb= $7 per bushel, what
is the new quantity demanded (b) if the slope of the demand curve is
m = -1.2 and the y-intercept value b = 287?
answers are listed below!
233.33
185.83
517
182.5
The new quantity demanded at Pb = $7 per bushel is 293.8
How to calculate the valueUsing the given values, we can plug in Pa and Qa to solve for b:
Qa = mPa + b
230 = (-1.2)($11) + b
b = $302.2
Therefore, the equation of the demand curve is:
Q = -1.2P + 302.2
In order to find the new quantity demanded at Pb = $7 per bushel, we can plug in Pb into the demand equation:
Qb = -1.2($7) + 302.2
Qb = 293.8
Learn more about quantity on
https://brainly.com/question/28306392
#SPJ1
Bernard
55%
Beautician requests
Submit
Ivan
45%
What is the measure of the central angle in the "Ivan" section?
The measure of the central angle in the "Ivan" section is 162 degrees
Calculating the measure of the central angle in the "Ivan" section?From the question, we have the following parameters that can be used in our computation:
Bernard = 55%
Ivan = 45%
Using the above as a guide, we have the following:
Ivan = Percentage * 360
Where
Angle at the center of a circle = 360
substitute the known values in the above equation, so, we have the following representation
Ivan = 45% * 360
Evaluate
Ivan = 162
Hence, the angle measure is 162 degrees
Read more about angle at
https://brainly.com/question/25716982
#SPJ1
Savvas 7-3 practice buddy
The strategy to solve the problem is to select one stack from the near doubles and count them with the doubles. Hence when the 3rd stack is counted with the first two double, 8+6 = 14. This is an addition problem.
What is addition?Addition is simply counting items, number, persons, objects together to that you are no longer looking that their individual numeric value but the numeric sum of the collective whole.
Hence, when we count the first doubles we had 8
counting the penultimate stack, we have 6. Counting 8 and 6 together gives us 14.
Learn more about addition;
https://brainly.com/question/29464370
#SPJ1
Full Question:
See attached image.
Find the value of x for the following
The values of x for the right triangle are x = 6 or x = -14
How to evaluate the values of x for the triangleThe perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.
x/(2√21) = (2√21)/(x + 8) {opposite/adjacent}
x(x + 8) = (2√21)² {cross multiplication}
x² + 8x = 84
x² + 8x - 84 = 0
by factorization;
x² + 14x - 6x - 84 = 0
(x - 6)(x + 14) = 0
x = 6 or x = 14
Therefore, the values of x for the right triangle are x = 6 or x = -14
Read more about right triangle here:https://brainly.com/question/2920412
#SPJ1
Henry's savings account has an APR of 3.65%, calculates interest daily, and
pays interest at the end of the month. If during the month of November, his
balance was $300 for the first 10 days of the month, $1200 for the next 10
days of the month, and $800 for the last 10 days of the month, how much
total interest did Henry earn in November?
Will mark brainliest.
The measure of angle x in the circle is 75 degrees.
How to find the arc angle in a circle?If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.
Therefore,
99 = 1 / 2 (123 + x)
99 = 123 / 2 + 1 / 2 x
99 - 61.5 = 0.5x
37.5 = 0.5x
divide both sides by 0.5
x = 37.5 / 0.5
x = 75 degrees.
learn more on arc angle here: https://brainly.com/question/29028021
#SPJ1
Luisa is solving an equation on the bottom of a page. The corner of the page where the
equation is written is torn off as shown below.
7(x + 3) = 7(x + 5)
Luisa knows only one number was torn off, and she knows that the equation has an infinite number of solu-
tions. What must be the missing number?
A 2
B 14
C 21
D 35
To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:
7x + 21 = 7x + 35
Subtracting 7x from both sides, we get:
21 = 35
This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.
However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.
Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:
7(5 - 3) = 14
Therefore, the missing number is 14, which corresponds to answer option B.
Help answer me answer this plssp
Answer: for this problem the answer wouldn’t be a fraction it’ll be a single number wish is x will equal to 4
4 The list below shows odd jobs that Michael has completed and the amount of
money he earned for each job.
B $240.60
с $228.45
D $143.50
.
Which statan
How much more money does Michael need to earn in order to make at least
$300.00 if he spent $16.75 at the movies and $55.20 on a new game?
A $71.55
Yard work $25.00
Babysitting $33.50
.
• Grade money $20.00
House cleaning $65.00
The amount of money that Michael needs to earn in order to make at least $ 300 is с. $228.45.
How to find the amount needed ?The total amount that Michael has made from his odd jobs is :
= 25 for yard work + babysitting 33. 50 + 20 grade money + house cleaning 65
= $ 143. 50
The amount remaining after spending on the game and movies :
= 143. 50 - 16. 75 - 55. 20
= $ 71. 55
The amount that he needs to earn to get to $ 300 is:
= 300 - 71. 55
= $ 228.45
Find out more on amount at https://brainly.com/question/21845676
#SPJ1
X+18=-4 solve the equation
Answer:
x = - 22
Step-by-step explanation:
x + 18 = - 4 ( isolate x by subtracting 18 from both sides )
x = - 4 - 18 = - 22
Answer:
x= -22
Step-by-step explanation:
x + 18 = -4
x = -18-4
x = -22
Evaluate the following logarithmic expression. Evaluate the following logarithmic expression. -5 5 4
The logarithmic expression for the given equation is ln(8th root e^5) = 5/8.
To evaluate ln(8th root [tex]e^5[/tex]) without a calculator, we first use the fact that the 8th root of [tex]e^5[/tex] is equivalent to raising [tex]e^5[/tex] to the 1/8 power. So, we can rewrite ln(8th root [tex]e^5[/tex]) as ln([tex]e^{(5/8)[/tex]).
We know that e is the base of the natural logarithm, so ln(e) = 1.
We can rewrite the expression as:
ln(8th root [tex]e^5[/tex]) = ln([tex]e^{(5/8)[/tex])
Using the property of logarithms that ln([tex]a^b[/tex]) = b ln(a), we get:
ln([tex]e^{(5/8)[/tex]) = (5/8) ln(e)
Since ln(e) = 1, we have:
(5/8) ln(e) = 5/8
Therefore,the equation ln(8th root [tex]e^5[/tex]) = 5/8.
For more details regarding logarithm, visit:
https://brainly.com/question/28346542
#SPJ1
Your question seems incomplete, the probable complete question is:
Evaluate the following logarithmic expression without the use of a calculator. Write your answer as a fraction reduced to lowest terms. ln(8th root e^5)
Assume: (1) FIT calculated by percentage method; (2) Social Security 6.2% on $128,400; and Medicare 1.45%.Cumulative balance before this payroll is below maximum as related to cumulative earnings in calculating Social Security. (Round your answers to the nearest cent.)
The missing quantities are
Social Security= $217
Medicare = $50.75
Net Pay is $2,633.67
First, Taxable income is therefore;
= 3,500 - (76.90 x 4 )
= $3,192.40
Federal Income Tax (FIT).
With taxable income of $3,192.40, the tax is $565.15 plus 28% of anything above $3,073.
= 565.15 + (28% x (3,192.40 - 3,073))
= 565.15 + 33.43
= $598.58
and, Social Security
= Gross pay x 6.2%
= 3,500 x 6.2%
= $217
and, Medicare
= 3,500 x 1.45%
= $50.75
Then, the Net Pay
= 3,500 - 598.58 - 217 - 50.75
= $2,633.67
Learn more about FIT here:
https://brainly.com/question/18120356
#SPJ1
50 points
Jessica obtains a loan for home renovations from a bank that charges simple interest at an annual rate of 9.65%. Her loan is for $17,100 for 54 days. Assume each day is 1/365 of a year. Answer each part below.
Do not round any intermediate computations, and round your final answers to the nearest cent.
(a) Find the interest that will be owed after 54 days: $
(b) Assuming Jessica doesn't make any payments, find the amount owed after 54 days: $
since we know a year is 365 days, so then 54 days is just 54/365 of a year.
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$17100\\ r=rate\to 9.65\%\to \frac{9.65}{100}\dotfill &0.0965\\ t=years\dotfill &\frac{54}{365} \end{cases} \\\\\\ I = (17100)(0.0965)(\frac{54}{365}) \implies I \approx 244.13~\hfill \underset{ \textit{amount owed} }{\stackrel{ 17100+244.13 }{\boxed{\approx 17344.13}}}[/tex]
I need some assistance with this ?
The three solution of the equation are x= -5/2 or x = 1.25 -2.1651i or x = 1.25 + 2.165i
We have,
8x³ + 125 = 0
Now, simplifying for x we get
(2x)³ + (5)³ = 0
(2x+5) ( (2x)² - (2x)(5) + 5²)= 0
(2x + 5) (4x² - 10x + 25)=0
x = -5/2 or (4x² - 10x + 25)= 0
x= -5/2 or x = 1.25 -2.1651i or x = 1.25 + 2.165i
Learn more about Roots here:
https://brainly.com/question/12029673
#SPJ1
angel found out that sales tax in san antonio texas is 8.25% and sales tax in Toronto Ontario is 13%. If he brought a 600 dollar phone in Toronto instead of san antonio, how much more would he play in sales tax.
Identity four ordered pairs on the graph of the function. f(x)=6/x+1
Answer:To find ordered pairs on the graph of the function, we can substitute different values of x in the given function and calculate the corresponding values of f(x).
Step-by-step explanation:
Here are four examples:
When x = 2, f(x) = 6/(2+1) = 2. So the ordered pair is (2, 2).
When x = -3, f(x) = 6/(-3+1) = -3. So the ordered pair is (-3, -3).
When x = 0, f(x) is undefined because we cannot divide by zero. So there is no ordered pair on the graph for x=0.
When x = 4, f(x) = 6/(4+1) = 6/5. So the ordered pair is (4, 6/5) or (4, 1.2) rounded to one decimal place.
Therefore, four ordered pairs on the graph of the function f(x) = 6/(x+1) are (2, 2), (-3, -3), (4, 1.2), and any value x ≠ 0 would have a corresponding ordered pair.
Name the marked angle in 2 different ways.
UTWV
The two ways to mark the angle TWV are m∠W or m∠TWX.
We have,
The angles between two lines are the angles formed by two intersecting lines, measured in degrees or radians.
Several different types of angles can be formed between two lines, including acute angles, right angles, and obtuse angles.
Now,
Angle TWV can be written as,
m∠W or m∠TWX
Thus,
The two ways to mark the angle TWV are m∠W or m∠TWX.
Learn more about angles here:
https://brainly.com/question/7116550
#SPJ1
The diameter of a circle is 4 m. Find its area to the nearest whole number.
The area of the circle is 12.56 metres squared.
How to find the area of a circle?The circle has a diameter of 4 metres. The diameter of a circle is a line that passes through the centre and meets the circumference at opposite ends.
Therefore, the area of the circle can be found as follows:
area of the circle = πr²
where
r = radiusHence,
r = 4 / 2
r = 2 metres
area of the circle = 3.14 × 2²
area of the circle = 3.14 × 4
area of the circle = 12.56 metres squared
learn more on area here: https://brainly.com/question/29106369
#SPJ1
Blank is the amount of matter in something contains
Answer:
Mass
Step-by-step explanation:
In science, Mass is defined as the amount od space something takes up or the number of matter something contains. Using those you can find the answer.
math modules, the question is attached
The solutions to f(x) = 3 are given as follows:
x = -4 and x = -1.
How to obtain the solutions of f(x) = 3?When we want to solve a system of equations graphically, we must obtain the point of intersection of the equations that compose the system.
The equations for this problem are given as follows:
y = f(x).y = 3.The graph of the function y = f(x) crosses the horizontal line y = 3 at x = -4 and x = -1, which are the solutions to f(x) = 3.
More can be learned about a system of equations at https://brainly.com/question/13729904
#SPJ1
Given v = 4i and w = 2i + 5j find the angle between v and w
The angle between the given vectors v and w is found to be 50.13°.
Using the dot product, v · w = |v| |w| cosθ, first, we need to find the dot product of v and w,
v · w = (4i) · (2i + 5j)
= 8i² + 20ij (since i · j = 0)
= -8 + 20j (since i² = -1)
Next, we need to find the magnitudes of v and w,
|v| = √(4²) = 4
|w| = √(2² + 5²)
|w| = √29
Now we can substitute these values into the dot product formula and solve for θ,
v · w = |v| |w| cosθ
-8 + 20j = 4 √29 cosθ
cosθ = (-8 + 20j) / (4 √29)
θ = cos⁻¹[(-8 + 20j) / (4 √29)]
cosθ ≈ 0.634
θ ≈ 50.13°
Therefore, the angle between v and w is approximately 50.13°.
To know more about vector angles, visit,
https://brainly.com/question/24169513
#SPJ1
