Answers
The correct answer that is an example of a permutation is; D: The number of ways 7 books can be selected from 50.
How to solve permutation problems?
Formula for permutation is;
nPr = n!/(n - r)!
Now, permutation is defined as the arrangement of objects in a definite order. Thus, looking at the given options, the only one that depicts permutation is Option D.
Thus, the correct answer is the number of ways 7 books can be selected from 50.
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Related Questions
why is the answer to this integral's denominator have 1+pi^2
Answers
It comes from integrating by parts twice. Let
[tex]I = \displaystyle \int e^n \sin(\pi n) \, dn[/tex]
Recall the IBP formula,
[tex]\displaystyle \int u \, dv = uv - \int v \, du[/tex]
Let
[tex]u = \sin(\pi n) \implies du = \pi \cos(\pi n) \, dn[/tex]
[tex]dv = e^n \, dn \implies v = e^n[/tex]
Then
[tex]\displaystyle I = e^n \sin(\pi n) - \pi \int e^n \cos(\pi n) \, dn[/tex]
Apply IBP once more, with
[tex]u = \cos(\pi n) \implies du = -\pi \sin(\pi n) \, dn[/tex]
[tex]dv = e^n \, dn \implies v = e^n[/tex]
Notice that the ∫ v du term contains the original integral, so that
[tex]\displaystyle I = e^n \sin(\pi n) - \pi \left(e^n \cos(\pi n) + \pi \int e^n \sin(\pi n) \, dn\right)[/tex]
[tex]\displaystyle I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n - \pi^2 I[/tex]
[tex]\displaystyle (1 + \pi^2) I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n[/tex]
[tex]\implies \displaystyle I = \frac{\left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n}{1+\pi^2} + C[/tex]
See attached. Thank you for your help.
Answers
Answer:
76
Step-by-step explanation:
when i text my boy he is ute
8 19. Marcus claims that fractions with denominators 1 through 10 follow a pattern
when they are converted to decimal form. If any one fraction can be converted
to a terminating decimal, then all of the fractions with that same denominator
will also convert to terminating decimals. On the other hand, if one fraction
converts to a repeating decimal, then all fractions with that same denominator
will convert to a repeating decimal. Is Marcus correct? Explain.
Answers
Answer:
No
Step-by-step explanation:
Marcus is not correct because 1/12 converts to the repeating decimal 0.8333... but 3/12 converts to 0.25 which is not a repeating decimal.
Buying rental property is an investment option that carries a higher risk than some other options. However, the returns can be good. Assume you have purchased a single-
family home that you intend to rent for $850 per month. You will have the following expenses:
Monthly mortgage $390
Monthly insurance $60
Semiannual property taxes $340
Repairs (yearly estimate) $500
Monthly lawn care or snow removal $100
The return on investment for the property is
% (Round to one decimal place.)
Answers
Based on the expenses involved in running the property, and the rental amount, the return on the investment would be 31.1%.
What is the return on investment?First find the amount earned per year:
= 850 x 12
= $10,200
The yearly expenses would be:
= (390 x 12) + (60 x 12) + (340 x 2) + 500 + (100 x 12)
= 4,680 + 720 + 680 + 500 + 1,200
= $7,780
The annual ROI is:
= (10,200 - 7,780) / 10,200 x 100%
= 31.1%
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A bank pays interest rate of 15% per annum on the savings in a customers account. calculate the total amount in a customers saving account at the end of the year
Answers
Answer:
Matty is the most precious ma ma ta the best I don't think so I can see good
Evaluate this exponential expression 7 • (6+2)^2 - 3^2=
Answers
Answer: 441
Step-by-step explanation:
[tex]7*(6+2)^2-3^2[/tex]
[tex]7*8^2-3^2[/tex]
[tex]7*64-9[/tex]
[tex]448-9[/tex]
441
BRAINLIEST AND 50 POINTS IF U ANSWER ALL PLSSS SOLVING REQUIRED PLSSS
Answers
#1
LSA
4(1/2BH)4(1/2×9×12)2(9)(12)216cm²TSA
LSA+9²216+81297cm²#2
LSA
3(1/2(13)(15))1.5(195)292.5cm²TSA
292.5+1/2(195)1.5(195)+0.5(195)2(195)390cm²#3
LSA
4(1/2(6)(16))2(96)192cm²TSA
LSA+6²36+192228cm²#4
LSA
2(1/2(8)(6))+2(1/2(6)(6.5))8(6)+6(6.5)48+3987cm²TSA
87+8(6)87+48135cm²#5
We know
TSA=LSA+Area of baseSo
LSA=TSA-Area of baseShe can use this formula
8. Find the area of the shaded region.
Answers
Answer:
7
Step-by-step explanation:
did the math
Answer:
Answer:4π
Step-by-step explanation:
As we know,
Area of circle=πr^2
=π(2)^2
=4π=12.57m^2
Houa bought 11 chicken wings for $23.10 . How much does each wing cost
Answers
Answer:
Answer = $2.10
Step-by-step explanation:
To solve this we take the total cost divided by the total number of chicken wings to get $2.10.
Hope that helps! :)
Answer:
1 wing = $2.10
Step-by-step explanation:
11 wings = $23.10
Let 1 wing = x
11x = 23.10
To solve for x, we divide both sides by 11 :
11x÷ 11 = 23.10 ÷11
x = 2.1
So 1 wing = $2.10
Hope this helped and brainliest please
please help me!.. as fast as possible please help me at fastest possible
Answers
ii. 975310 greatest, 013579 least
iii. 98765420 greatest, 02456789 least
Mario invested a certain amount of money in selling a fish balls. After 3 weeks, he counted his money and found out that he had 900 which was 2255 of what he originally had. How much did he invest?
Answers
Answer:
[tex]5.3 \times 105 - 2.4 \times 104[/tex]
100 Points and I will mark you brainiest if right.
What is 2 x 4 x 8 x 16 x 32 x 64 divided by 2^4
Answers
Answer:
131072
Step-by-step explanation:
Let's put it into expression form and simplify as much as possible :
[tex]\frac{(2)(4)(8)(16)(32)(64)}{2^{4} }[/tex] =
[tex]\frac{2097152}{16}[/tex] =
131072
Hope this helped and have a good day
Answer: 131,072
Step-by-step explanation:
2 x 4=8
8 x 8=64
64 x 16=1024
1024 x 32=32768
32768 x 64=2097152
[tex]2^{4}[/tex]=16
2097152/16= 131072
calculate the sum of the following series 17+51+153+…334611
Answers
Answer:
Ans=...334832 can be your questions answer
A manufacturer of kitchen utensils and gadgets is considering changing the design of the salt and pepper shakers. Their current design is a standard cylinder, while the new design they are considering is an oblique cylinder. the figure shows both designs.
Which set of additional details are the minimum required to ensure the new design will have the same volume as the original design?
Answers
For the current cylinder to have the same volume as the oblique cylinder, the height of both design must be the same and the base area of both designs must be the same.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Volume of cylinder = area of base * height
For the current cylinder to have the same volume as the oblique cylinder, the height of both design must be the same and the base area of both designs must be the same.
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Answer:
C
Step-by-step explanation:
happened to do the test
Erica earned a total of $67,250 last year from her two jobs. The amount she earned from her job at the store was $1,250 more than three times the amount she earned from her job at the college. How much did she earn (in dollars) from her job at the college?
Answers
Step-by-step explanation:
x = earnings from the store
y = earnings from the college
x + y = 67,250
x = 3y + 1,250
now we use the identity of the second equation in the first equation :
(3y + 1,250) + y = 67,250
4y = 66,000
y = $16,500
x = 3y + 1,250 = 3×16,500 + 1,250 = 49,500 + 1,250 =
= $50,750
Ashley has 100 books that she wants to give away at the rate of n books per week. Write a recursive function that represents the number of books Ashley has at any time.
The recursive function that gives the number of books Ashley has at any time is
=
, starting at
.
Answers
The recursive function that gives the number of books Ashley has at any time is f(t) = f(t-1) - n where f(0) =100
How to determine the recursive function?The given parameters are:
Initial = 100
Rate per week, r = n
The initial number of books means that:
f(0) = 100
The rate of n means that Ashley has n less books each week.
So, we have:
f(t) = f(t-1) - n
Where t represents the number of weeks
Hence, the recursive function that gives the number of books Ashley has at any time is f(t) = f(t-1) - n where f(0) =100
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A shirt and a tie together cost $58 the shirt cost $30 more than the type what is the cost of the shirt and dollars
Answers
Answer:
Shirt + tie = $ 58
shirth = 30 more than that of tie
let the price of tie be X
therefore the price of shirt = 30 + X
30 + X + X = 58
30 + 2x = 58
2x = 58 - 30
2x= 28
x = 14
x + 30
= 14 + 30
Cost of tie = $14 Cost of shirt = $44Can someone pls help quickly?
Answers
From the question given above, the ratio of L : W in simplified form is given as: 6 : 5. See the explanation below.
What is a ratio?A ratio, simply, can be defined as the quantitative relationship that exists between two values which is indicative of the number of times one value can be obtained from the other.
What is the explanation for the solution above?Step 1 - Indicate your assumptionsLet X be the width of one of the rectangles and let its height be Y.
It is clear from the image that:
4X = 3Y
Hence
(4/3)X = Y
Therefore,
Lenght (L) = 3Y
= 3 (4/3)X
= 4X
Width (W) = Y + 2X
= (4/3)X + 2X
= (10/3)X
Therefore,
L : W = 4X: 10/3X
= 4:10/3
To remove the fraction, multiply both sides of the ratio by 3
= 12 : 10, furhter simplify by halving each value, and we have
= 6:5
Hence, the ratio L: W in simplified form is 6 : 5.
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what is the volume of the solid
Answers
Answer: 12 cubic yards
Step-by-step explanation:
Volume = (1/2)(3)(4)(2)=12
The length of a rectangle is 6 inches longer than it is wide. If the area is 160 square inches, what are the dimensions of the rectangle?
Answers
Answer:
L = 16
w = 10
Step-by-step explanation:
Givens
Area = 160 sqr inches
width = x
length = x + 6
Equation
Area = L * w
Solution
Substitute in the equation all of the givens.
160 = x(x + 6) Remove the brackets
160 = x^2 + 6x Subtract 160 from both sides.
160-160 = x^2 + 6x - 160
0 = x^2 + 6x - 160
This equation factors. Turn it around first
x^2 + 6x - 160 = 0
(x - 10)(x + 16) = 0
Answer
x (width) = 10
x + 16 = 16
Answer:
The length is 16 inches and the width is 10 inches.
Step-by-step explanation:
Of the equations listed below, which represent functions that are linear?
1.y = 3x
II. y = 3x²
III. y
A. Equations I and III
B. Equation I only
C. Equations II and III
D. Equation II only
Answers
Answer:
c i think
Step-by-step explanation:
c because jesus told it was c
Find the value of x.
x
x = [?]
Answers
Answer:
Step-by-step explanation:
x + x + x = xxx
=> 3x = x³
=> x³ - 3x = 0
=> x(x² - 3) = 0
=> x(x² - (√3)²) = 0
using a² - b² = (a + b)(a - b)
= x(x + √3)(x - √3) = 0
=> x = 0 , -√3 , √3
x = 0 , ±√3
Mr. Simmons figures he can paint his house in 5 days. If his son helps, together they can paint it in 2 days. How long will it take his son to paint the house if he works alone?
Answers
Answer:
3 hrs 20 min
Step-by-step explanation:
1/5 + 1/x = 1/2
x = 10/3
An investor earns 12.49 percent before tax and is subject to a 32 percent tax on such earnings. Calculate the investor's after-tax rate of return.
Answers
Answer:
How do you calculate after tax rate of return?
After-tax return on investment is the net return to the investor after ordinary income and capital gains taxes are subtracted. This is calculated as: After-tax return on investment = ((P1 - Po) (1 - Tc) / Po) + C1(1 - To) / Po.
How do you calculate before tax return?
The pre-tax rate of return is calculated as the after-tax rate of return divided by one, minus the tax rate. For example, suppose a person obtains a 4.25% reporting rate for ABC shares and is subject to a 15% income tax. Therefore, the pre-tax rate of return is 5% or 4.25%/(1 - 15%).
How do you calculate real rate of return after tax and inflation?
To calculate the real rate of return after tax, divide 1 plus the after-tax return by 1 plus the inflation rate. Dividing by inflation reflects the fact a dollar in hand today is worth more than a dollar in hand tomorrow. In other words, future dollars have less purchasing power than today's dollars.
Hope this help's :)
Assume a normal distribution and that the average phone call in a certain town lasted 12 min, with a standard deviation of 2 min. What percentage of the calls lasted less than 6 min?
Answers
Answer:
I think it's 23 but I might be wrong
Solve for x
5x= -9
Give your answer as an improper
fraction in its simplest form.
Answers
We proceed to solve the equation:
[tex]5x \: = \: 9[/tex]
We divide by 5 the two members that make up the equation.[tex]5x \: \div \: 5 \: = \: - 9 \: \div \: 5[/tex]
Since it is divided by itself, it is equal to 1.[tex]x \: = \: - 9 \: \div \: 5[/tex]
We transform it into an improper fraction:[tex]x \: = \: \boxed{ \bold{ - \frac{9}{5} }}[/tex]
MissSpanishWhat is the median of 3,4,5,5,7,8
Answers
can you please help me? 2.1.5
Answers
[tex]~Ab_1\\\\\\=\begin{bmatrix} -2&2\\ 1&4\\ 5&-3 \end{bmatrix}\begin{bmatrix} 3\\-2 \end{bmatrix}\\\\\\=\begin{bmatrix} -6-4\\3-8\\15+6 \end{bmatrix}\\\\\\=\begin{bmatrix} -10\\-5\\21 \end{bmatrix}[/tex]
Find f(3) if
f(x)=x^3+2x^2-x-1
Answers
Answer:
41
Step-by-step explanation:
[tex]f(x) =x^3 +2x^2 -x -1\\\\f(3) =3^3 +2(3^2) -3 -1\\\\~~~~~~~=27+18-4\\\\~~~~~~~=27+14\\\\~~~~~~~=41[/tex]
Convert from a fraction to a decimal 1/4
Answers
Answer:
Convert from a fraction to a decimal 1/4. 0.25
Answer:
0.25 is the correct answer of the question