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Explanation:
If you have the two 3D solids with cross sections of equal area, and they are of the same height, then it can be proven the two volumes are the same. So it is possible for a cylinder and triangular prism to have the same volume.
An example would be that imagine you had a stack of pennies to form a large cylinder. The volume is found by computing the area of one penny's face (aka area of a circle) multiplied by the height of the stack.
Now imagine moving the stack to form a strange curve of any sort you want. The pillar has a bend in it now. It's no longer a perfect cylinder, but we still have the same volume since we haven't destroyed any of the pennies.
All we've done is move things around. The small pieces all have the same volume, so the total volume is still the same as well. So this is one application of Cavalieri's principle.
Starbucks reports net income for 2015 of $2,634.4 million. Its stockholders' equity is $5,605 million and $6,151 million for 2014 and 2015, respectively. a. Compute its return on equity for 2015. Round answer to one decimal place (ex: 0.2345 = 23.5%) Answer 44.8 % b. Starbucks repurchased over $1.4 billion of its common stock in 2015. Did this repurchase increase or decrease Starbucks’ ROE? ROE usually decreases since the repurchase of shares reduces the denominator (avg. stockholders' equity). ROE usually increases since the repurchase of shares reduces the denominator (avg. stockholders' equity). ROE usually increases since the repurchase of shares increases the denominator (avg. stockholders' equity). ROE usually decreases since the repurchase of shares increases the denominator (avg. stockholders' equity). c. If Starbucks had not repurchased common stock in 2015, what would ROE have been? Note: Round answer to one decimal place (example: 20.6%). Answer %
Answer:
A. 44.82%
B.
Option b. Return On Equity usually increases since the repurchase of shares reduces the denominator (avg. stockholders' equity)
C.
Option b. The Companies would tend to repurchase their own stock if they feel the stock is been undervalued by the market
Step-by-step explanation:
a. Computation for return on equity for 2015
Using this formula
Return on equity = The Net income amount /The Average stockholders' equity amount
Let plug in the formula
Return on equity=2,634.4/[(5,605+6,151)/2]
Return on equity=2,634.4/(11,756/2)
Return on equity=2,634.4/5,878
Return on equity=0.4482×100
Return on equity= 44.82%
b. In a situation where they repurchased over $1.4 billion of its common stock in the year 2015 this means that the RETURN ON EQUITY will usually tend to increases reason been that the repurchase of shares will often reduces the denominator (average stockholders' equity)
Therefore the repurchase increase Starbucks’ Return On Equity.
c. In a situation where Starbucks had not repurchased common stock in the year 2015, what their Return On Equity would have been is that they will repurchase their own stock if they feel the stock is been undervalued by the market
How many different five-card hands can be dealt from a standard deck of fifty-two cards?
Answer:
2598960 ways
Step-by-step explanation:
Given
Standard Deck = 52
Five-card hands
Required
Determine the number of ways
To solve this question, we make use of combination formula
[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]
Where n = 52 and r = 5
[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex] becomes
[tex]^{52}C_5 = \frac{52!}{(52-5)!5!}[/tex]
[tex]^{52}C_5 = \frac{52!}{47!5!}[/tex]
[tex]^{52}C_5 = \frac{52 * 51 * 50 * 49 * 48 * 47!}{47! * 5 * 4 * 3 * 2 * 1}[/tex]
[tex]^{52}C_5 = \frac{52 * 51 * 50 * 49 * 48}{5 * 4 * 3 * 2 * 1}[/tex]
[tex]^{52}C_5 = \frac{311875200}{120}[/tex]
[tex]^{52}C_5 = 2598960[/tex]
Hence, there are 2598960 ways
-1(-2x + 4) = 6
Hellooooooooooo
Answer:
x=5
Step-by-step explanation:
First we distribute
2x-4=6
isolate x
2x=10
divide both sides by 2
x=5
(plz give brianliest ty)
Answer:
X=5
Step-by-step explanation:
2x+(-4)=6
2x=6+4
2x=10
X=10/2
X=5
two - way frequency tables
Answer: Two-way frequency tables are especially important because they are often used to analyze survey results. Two-way frequency tables are also called contingency tables. Two-way frequency tables are a visual representation of the possible relationships between two sets of categorical data.
Step-by-step explanation:
9,000 + 40 + 0.1 + 0.008 I need to put it in standard form. Please help!
Answer:
-12
Step-by-step explanation:
A box rectangular prism has an end that is 3 by 5 ft in dimension it’s length is 10 feet what is the volume of the prism
Answer:
150
Step-by-step explanation:
Multiply 3 x 5 x 10
sam has 24 muffins,which need to be split into dozens. 8 of the muffins are blueberry. how many boxes does he need?
What is the value of x in the equation 6(x + 1) - 5x = 8 + 2(x - 1)?
A100
12
Answer:
x=0
Step-by-step explanation:
First, we distribute on both sides
6x+6-5x=8+2x-2
simplify
x+6=2x+6
subtract x from both sides
6=x+6
subtract 6 from both sides
x=0
(plz give brianliest ty)
Answer:
x = 0
Step-by-step explanation:
6 ( x + 1 ) -5x = 8 + 2 ( x - 1 ) (Distribute)
6x + 6 - 5x = 8 + 2x - 2 (Rearrange expression)
6x - 2x - 5x = 8 - 6 - 2 (Combine like terms)
-1x = 0 (Divide)
x = 0
The length of a rectangle is 4 inches less than 4 times the width. If the perimeter is 72 inches, find the length and the width of the rectangle.
Answer:
Length is 28. Width is 8.
Step-by-step explanation:
The perimeter of a rectangle is given by the following formula:
[tex]P=2l+2w[/tex]
We know that the length is 4 inches less than 4 times the width. Therefore:
[tex]l=4w-4[/tex]
Substitute this for l. Let's also substitute 72 for P. Therefore:
[tex]72=2(4w-4)+2w[/tex]
Distribute:
[tex]72=8w-8+2w[/tex]
Combine like terms:
[tex]72=10w-8[/tex]
Add 8 to both sides:
[tex]80=10w[/tex]
Divide both sides by 10:
[tex]w=8[/tex]
Therefore, the width is 8.
The length is 4 less than 4 times the width. Thus: "
[tex]l=4(8)-4[/tex]
Multiply:
[tex]l=32-4[/tex]
Subtract:
[tex]l=28[/tex]
Therefore, the length is 28 and the width is 8.
And we're done!
Which size would you see on the box for a new television whose screen measures 32 inches wide by 18 inches high?
Answer:
37
Step-by-step explanation:
The calculation of size for a new television is shown below:-
With the help of Pythagoras theorem
[tex]h^2 = b^2 + p^2[/tex]
where
h indicates hypotenuse which is the diagonal length
b indicates the base which is the length of the horizontal side
p indicates perpendicular which is the TV length of the vertical side.
[tex]h^2 = \sqrt{b^2 + p^2}[/tex]
now, we will put the values into the above formula
[tex]= \sqrt{32^2 + 18^2} \\\\ = \sqrt{1024 + 324} \\\\ = \sqrt{1348}[/tex]
Which gives result
= 36.7
or
= 37
Since you have 15% off of $24.99, you should have found (on the previous Slide) that you will have to pay 85% of $24.99. Using this information, determine the cost of the shirt after applying the discount (and before taxes). After you input your answer, click 'Submit' to see if you are correct. Round to the nearest penny.
Answer: $21.24
Step-by-step explanation:
Well if you apply the discount you will have to pay 85% of the price which is already said .
So 85% of 24.99 will give you the cost of the shirt.
0.85 * 24.99 = 21.2415
TO the nearest penny will be 21.24
Find the inverse. f(x) = -2/3x - 7/6
To find the inverse, interchange the variables and solve for y. f−^1(x)=−3x/2−7/4
To find the inverse, interchange the variables and solve for
f − 1 ( x ) = − 3 x 2 − 7 4
hope this helped and I know this is the answer
Megan expects to save an average of 5 dollars per
week from her babysitting earnings. The relationship
between time and the amount of money she saves is
shown on the graph. Which other ordered pairs would
fall on this line? Select all that apply.
A. (0.5, 2.5)
B. (3, 18)
C. (0,0)
D. (4.5, 30)
Answer:
Step-by-step explanation:
Ordered pair (0, 0) & (0.5, 2.5) will fall on the line of graph
Step-by-step explanation:
Megan expects to save an average of 5 dollars per week from her babysitting earnings.
=> Saving Per week = 5 $
Saving in 0.5 Week = 0.5 * 5 = 2.5 $
hence ordered pair (0.5, 2.5) will fall on the line of graph
Saving in 3 Week = 3 * 5 = 15 $
Hence (3, 18) will not fall on line
Saving in 0 Week = 0.5 * 0 = 0 $
hence ordered pair (0, 0) will fall on the line of graph
Saving in 4.5 Week = 4.5 * 5 = 22.5 $
Hence (4.5, 30) will not fall on line
Ordered pair (0, 0) & (0.5, 2.5) will fall on the line of graph
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
Megan expects to save an average of 5 dollars per week from her babysitting earnings.
=> Saving Per week = 5 $
Saving in 0.5 Week = 0.5 * 5 = 2.5 $
hence ordered pair (0.5, 2.5) will fall on the line of graph
Saving in 3 Week = 3 * 5 = 15 $
Hence (3, 18) will not fall on line
Saving in 0 Week = 0.5 * 0 = 0 $
hence ordered pair (0, 0) will fall on the line of graph
Saving in 4.5 Week = 4.5 * 5 = 22.5 $
Hence (4.5, 30) will not fall on line
Hence, Ordered pair (0, 0) & (0.5, 2.5) will fall on the line of graph.
To learn more on graph click:
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If x=2y=3z then x:y:z equals what?
Answer: x=6 y=3 z=2
Step-by-step explanation: The question is very vast so im guessing that its just finding 3 whole numbers that can equal the same ammount being multipied by 2 and 3. I chose 6. But theres many others. The answer should be correct because if we replace the letters with the numbers i put in the answer it should look like this: 6=2•3=3•2
When we do simplify this we should get 6=6=6 which is true.
Again you can use different numbers for example 12 as X. Then you need to divide 12 by whats behind the Y. So 12÷2 is 6. So Y is equal to 6. To find Z all you need to do is follow the same steps as Y. Find the number behind Z (3) and divide that into 12. So it would be 12÷3. And if you do the math right it should look like this: X=12, Y=6, Z= 4. And when you imput the numbers to thier corresponding letter it should look like this 12=2(6)=3(4) which simplified looks like 12=12=12 which is true.
Integral..Could you help me,please?
Answer:
as we know, the integral of [tex]x^{n}[/tex] is [tex]\frac{x^{n+1} }{n+1}[/tex]
so, the integral of x.[tex]2^{x}[/tex] will be found as follows:
here, we will use a trick called 'integration by parts'
let x = u and [tex]2^{x}[/tex] = v
∫uv dx = u∫v dx - ∫[(du/dx)* ∫v dx] dx
∫x.[tex]2^{x}[/tex] dx = x∫[tex]2^{x}[/tex] - ∫[(dx/dx) * ∫[tex]2^{x}[/tex] dx ] dx
∫x.[tex]2^{x}[/tex] dx = x*[tex]\frac{2^{x+ 1}}{x+ 1}[/tex] - 1 * [tex]\frac{2^{x + 1} }{x + 1}[/tex]
= [tex]\frac{2^{x} }{x + 1}[/tex]( x - 1 )
what is (- 4/5) x (- 5/8)
Answer:
- 1/2
Step-by-step explanation:
(-4/5) × (- 5/8)
- 4/5 × - 5/8
First we mulitply across
The top and the bottom.
- 20 / 40
because -4 × -5 = +20
and -5 × -8 = +40
Now we simplify the fraction
- 20 / 40
= - 2 /4
= - 1/2
Because we have to simplify it and so I divided it by 10 first.
-20 ÷ 10 = -2 and -40 ÷ 10 = -4
Then I simplified it again by dividing it by 2.
-2 ÷ 2 = -1 and -4 ÷ 2 = -2
So finally we have:
-1/2
And we cannot simplify that anymore so that is the answer.
Hope that helped!
Answer:
1/2
Step-by-step explanation:
since negative * negative= positive we multiply the top and bottom to get. 20/40 which simplifies
6(3-e) = 42
e =
what does e equal
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{e = - 4}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{6(3 - e) = 42}[/tex]
Distribute 6 through the parentheses
⇒[tex] \sf{18 - 6e = 42}[/tex]
Move 18 to right hand side and change it's sign
⇒[tex] \sf{ - 6e = 42 - 18}[/tex]
Subtract 18 from 42
⇒[tex] \sf{ - 6e = 24}[/tex]
Divide both sides of the equation by -6
⇒[tex] \sf{ \frac{ - 6e}{ - 6} = \frac{24}{ - 6} }[/tex]
Calculate
⇒[tex] \sf{e = - 4}[/tex]
Hope I helped!
Best regards!!
The following image represents the correct way to name ____*
Answer:
Line Segment
Step-by-step explanation:
Because the start on a line and end on a line.
Answer:
line segment
Step-by-step explanation:
What is the equation of the line that passes through the point (-3,0) and has a
slope of 4/3
Answer:
y = 4/3x +4
Step-by-step explanation:
What is the mean of the following data values? 52, 70, 88, 15, 65 A. 58 B. 82 C. 62 D. 78
Answer:
A) 58
Step-by-step explanation:
Mean = Sum of all the data ÷ total number of data
[tex]=\frac{52+70+88+15+65}{5}\\\\\\=\frac{290}{5}\\\\\\= 58[/tex]
The Distribution of Sample Means expresses the way in which sample means taken from a population and of a given sample size are distributed around the population mean.
a. True
b. False
Answer:
a. True
Step-by-step explanation:
This is because, since the sample mean equals the population means, the distribution of the sample means about the sample size would also be the distribution of the sample size distributed about the population mean.
This usually results in a normally distributed population for a sample size greater than 30.
So, if the sample size is greater than 30, the population mean and sample mean would have the same value and distribution.
7. Is plane TPS an acceptable name for plane R? Why or why not?
Answer:
Hi
Step-by-step explanation:
Hi
Cole is making decorated jellybean bags for a party. Each bag contains 5 pounds of jellybeans. If Cole has purchased 1,000 pounds of jellybeans, then how many party bags can make?
А. 833 party bags
B. 166 party bags
C. 1,200 party bags
D. 6.000 party bags
Answer:
The correct answer would be 200, but in your case 166 is the closest
Step-by-step explanation:
divide 1000 by 5
The total number of bags needed are 200 bags.
We have Cole who has purchased 1,000 pounds of jellybeans. Each bag contains 5 pounds of jellybeans.
We have to determine how many party bags can make 1,000 pounds of jellybeans.
If you need a total of 'x' number of toffees and each packet contains 'y' toffees, then how many packets will be needed?The total number of packets(n) required will be -
[tex]$n=\frac{x}{y}[/tex]
According to the question, we have -
Amount of jelly beans in a bag - 5 pounds.
Amount of jelly beans needed - 1000 pounds.
Assume that the number of bags needed are n. Then -
n = [tex]\frac{1000}{5}[/tex] = 200 Bags.
Hence, The total number of bags needed are 200 bags.
To solve more questions on Quantity estimation, visit the link below-
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Joseph rides his bike for 30 miles in an hour going west
Answer:
is it acceleration or velocity?
Step-by-step explanation:
If c(x)=5/x-2 and d(x)=x+3,. What is the domain of (CD)(x)
Answer:
all real numbers except x=2
Step-by-step explanation:
We assume you intend c(x) = 5/(x-2), rather than c(x) = (5/x) -2 as written.
__
The domain of c(x) is real numbers, excluding 2. Multiplying c(x) by d(x) doesn't change that.
The domain of (cd)(x) = c(x)×d(x) = 5(x+3)/(x-2) is "all real numbers except 2".
__
2 is excluded because c(x) is undefined for that value.
Write a piecewise function. PLEAE HELP i really need this any help would be very appreciated!!
Answer:
see below
Step-by-step explanation:
Each age bracket defines a domain of the function. The function value is constant for that domain. This function gives admission price (P) as a function of age (a).
[tex]P(a)=\left\{\begin{array}{ccl}0&\text{for}&a\le5\\3&\text{for}&5<a\le18\\5&\text{for}&18<a<65\\4&\text{for}&a\ge65\end{array}\right.[/tex]
A plot of land is in the shape of a triangle. If one side is x meters, a second side is (5x - 2) meters and a third side is (7x-3) meters, express the perimeter of the lot as a simplified expression in x.
Hey there! I'm happy to help!
The perimeter is the distance around a shape. Let's add up the lengths of our sides to ind it.
x+5x-2+7x-3
We combine all of the x values.
x+5x+7x=13x
And all of the constants.
-2-3=-5
Therefore, the perimeter is 13x-5.
Have a wonderful day! :D
Solve 3(x + 1) + 6 = 33.
add 6 plus 33 then do x+1 then you divide
Step-by-step explanation:
How many thousands of blue crayons are in 327,412
Answer:327412000
Step-by-step explanation:
Round to the nearest cent.
5. $406.439
Answer:
406.4
Step-by-step explanation:
When rounding you only look at the number you're rounding and the one before it. In this case it would be the 4 and 3 after the decimal since we're rounding to the nearest cent. If the numbers before the one you're rounding are 0-4 then you leave the number the same. If the numbers are between 5-9 then you add one to the number. Since the number before 4 is between 0-4 you leave it as 4. But if it was between 5-9 then you'd change the 4 to 5.