Answer:
Jim can arrange the 7 songs on the playlist in 5040 different ways.
Step-by-step explanation:
Given
[tex]Songs = 7[/tex]
Required
Ways of arrangement
Since, there is no restriction and conditions.
The songs can be arranged in
[tex]Ways = 7![/tex]
This is so because each song will have a distinct position:
So, we have
[tex]Ways = 7 * 6 * 5 * 4 * 3 * 2 * 1[/tex]
[tex]Ways = 5040[/tex]
The number of ways that can Jim arrange the 7 songs on the playlist is 5040.
Calculation of the number of ways:Since Suppose Jim is going to build a playlist that contains 7 songs.
So here the number of ways should be
= 7!
[tex]= 7\times 6\times 5\times 4\times 3\times 2\times 1[/tex]
= 5040
hence, The number of ways that can Jim arrange the 7 songs on the playlist is 5040.
Learn more about ways here: https://brainly.com/question/24144187
14. Solve the Quadratic equation by the
method of completing square 3x2 - 8x - 3
Answer:
x = -1/3 and x = 3
Step-by-step explanation:
I'm not sure, but I think you mean 3x^2 - 8x - 3 = 0
In that case:
1. Add 3 on both sides
3x^2 - 8x -3 + 3 = 3 -> 3x^2 - 8x = 3
2. Divide both sides by 3
x^2 - 8/3x = 1
3. Add ((8/3)/2)^2 to both sides
x^2 - 8/3x + ((8/3)/2)^2 = 1 + ((8/3)/2)^2
4. Simplify
x^2 - 8/3x + (4/3)^2 = 1 + (4/3)^2
x^2 - 8/3x + 16/9 = 1 + 16/9
5. Rewrite x^2 - 8/3x + 16/9 = 1 + 16/9 as a perfect square
and simplify 1 + 16/9
(x - 4/3)^2 = 25/9
6. Find the square root of both sides
[tex]\sqrt{ (x -4/3)^2} = \sqrt{25/9}[/tex]
7. Simplify
(x - 4/3) = ±5/3
8. Rewrite the equation as two seperate equations
(x - 4/3) = ±5/3 ->
a. (x - 4/3) = 5/3
b. (x - 4/3) = -5/3
9. Solve for x by isolating the variable (add 4/3 to both sides)
a. x = 5/3 + 4/3
b. x = - 5/3 + 4/3
10. Simplify
a. x = 9/3 -> x = 3
b. x = -1/3
WHat is 2x2x2x2x2x2+2=
66
76
86
96
106
Answer:
66
Step-by-step explanation:
[tex]2 \times 2 \times 2 \times 2 \times 2 \times 2+2= \\ \\ = 64 + 2 \\ \\ = 66[/tex]
Select the correct answer. Which expression is equivalent to this polynomial? 9x2 - 4
A. (3x + 21)(3x - 21)
B. (3x - 2)(3x - 2)
C (3x + 21)2
D. (3x + 2)2
Answer:
A is
Step-by-step explanation:
The expression equivalent to 9x² - 4 is (3x-2)(3x+2). Option A is correct.
An equivalent expression to be determine.
Polynomial equation are relationships which independent variables and dependent variables.
Here,
=9x²-4
= (3x)²-2²
= (3x-2)(3x+2)
Thus, The expression equivalent to 9x² - 4 is (3x-2)(3x+2).
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A = 2 x 3^4 x 5
B = 2^3 x 3^2 x 5^2
b) Write down the highest common factor (HCF) of A and B.
Answer:
90
Step-by-step explanation:
1800 and 810 GCF is 90
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below.
Demetria got a score of 71.471.4; this version has a mean of 66.666.6 and a standard deviation of 88.
Norma got a score of 258.3258.3; this version has a mean of 238238 and a standard deviation of 2929.
Kaitlyn got a score of 88; this version has a mean of 7.27.2 and a standard deviation of 0.40.4.
If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Answer:
The job should be offered to Kaitlyn
Step-by-step explanation:
From the question we are told that
The data for Demetria is
Test score is 71.4
The mean is 66.6
The standard deviation is 8
Generally the z-sore for Demetria is mathematically evaluated as
[tex]z - score = \frac{ 71.4 - 66.6 }{ 8}[/tex]
= > [tex]z - score = 0.6[/tex]
The data for Norma is
Test score is 258.3
The mean is 238
The standard deviation is 29
Generally the z-sore for Norma is mathematically evaluated as
[tex]z - score = \frac{ 258.3 - 238 }{ 29}[/tex]
= > [tex]z - score = 0.7[/tex]
The data for Kaitlyn is
Test score is 8
The mean is 7.2
The standard deviation is 0.4
Generally the z-sore for Norma is mathematically evaluated as
[tex]z - score = \frac{ 8 - 7.2}{ 0.4}[/tex]
= > [tex]z - score = 2[/tex]
Now given that the z-score of Kaitlyn is the highest it means that performed best and should be given the job
Nelson invested $5,500 in a savings account. If the interest rate is 1.62%, how much will be in the account in 3 years by compounding continuously?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.
Answer:
89.1
Step-by-step explanation:
1.62% of 5,500 = 891/10 = 89.1
if im wrong them im sorry :<
A campground says campers can rend a square space taking up 225 square feet. How long would one side of the space be?
feet
Answer:
56.25 ft
Step-by-step explanation:
It is simple, since it is a square the sides are all the same length so you take A=area and divide it by four= h or w or l (height, width, length) so
225/4=56.25
Please answer for me
Answer:
17
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
(33*2) +x^2 = 98
66+x^2 =98
x^2=32
x=16 ft
the value of x must be greater than?
Answer: 22
Step-by-step explanation:
Answer: 1
Step- by- step:
On James’s MP3 player, he has 12 sad songs and 40 upbeat songs that he wants to put into playlists. He wants to have the same number of sad songs and upbeat songs in each playlist. What is the maximum number of playlists that he can create?
2 playlists
3 playlists
4 playlists
10 playlists
Answer:
4 playlist
Step-by-step explanation:
took the test :)
Find (9.3 × 106) + (1.8 × 104). Express your answer in scientific notation.
Answer:
(9.3 × 106) + (1.8 × 104) =
985.8 + 187.2 =
1173
Step-by-step explanation:
The required scientific notation of (9.3 × 10^6) + (1.8 × 10^4) is 93.18E+5.
To find (9.3 × 106) + (1.8 × 104) and express the answer in scientific notation.
An expression in the form of abE+5 is scientific notation.
To Write the expression in the scientific notation, for example, 12.34 * 10^6
First, put the non-zero digit with desired decimal points in order to show a more simple value, and Put E after the digit and add + and - sign after it which shows the 10 exponents of the digit positive or negative. Then put the value of the exponent. eg 12.34E+6.
⇒(9.3 × 106) + (1.8 × 10^4)
⇒ (9.3 × 106) + (0.018 × 10^6)
⇒ (9.3 + 0.018)× 10^6
⇒ (9.318)× 10^6
For scientific notation
=93.18E+5
Thus, the required scientific notation of (9.3 × 10^6) + (1.8 × 10^4) is 93.18E+5.
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PLZ HELP I cannot afford to fail this class
Answer:
x^8/3
Step-by-step explanation:
Evaluate the function
Answer:
f(-6) = -26
Step-by-step explanation:
Step 1: Define
f(x) = 2(x - 4) + x
f(-6) is x = -6
Step 2: Simplify equation
f(x) = 2x - 8 + x
f(x) = 3x - 8
Step 3: Substitute and Evaluate
f(-6) = 3(-6) - 8
f(-6) = -18 - 8
f(-6) = -26
28. Kay is saving $200 a month into an account earning 5% interest. How long will it
take her to save $20,000?
Step-by-step explanation:
Accumulated value = $20,000.
A = P + I, P = principal, I = Interest.
I = 200*5*t/100
I = 1000t/100 = 10t
2000 = P + I = 200 + 10t
2000 - 200 = 10t
1800 = 10t, t = 180.
Therefore, it would take her 180 years to save $20,000.
Which of the following equations uses the commutative property of multiplication to
rewrite 4.8. x 5.2?
Answer:
4.8×5.2=5.2×4.8
Step-by-step explanation:
All you need to do is write the equation in backwards
A rectangular basketball court has perimeter of 232 feet. The length of the court is 32 feet greater that the width. What is the width and the length of the basketball court
Answer: width = 42, length = 74
Step-by-step explanation: 42 + 32 = 74
42 + 42 + 74 + 74 = 232
Carlos plotted the points (-4,-4) and (0, 3) and connected them with a line, as shown below.
What is the slope between the two points?
Answer:
The slope between the two points is 7/4
Step-by-step explanation:
Slope of a Line
Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The points plotted by Carlos are (-4,-4) and (0,3), thus the slope is:
[tex]\displaystyle m=\frac{3-(-4)}{0-(-4)}[/tex]
[tex]\displaystyle m=\frac{7}{4}[/tex]
The slope between the two points is 7/4
The cost of printing T-shirts is defined by the equation C = 250+5.5n, where C represents the total
cost and I represents the number of T-shirts. If the school paid $965.00, how many T-shirts were
printed?
Answer:
The school paid for printing 130 T-shirts
Step-by-step explanation:
Function Models
We are given the cost of printing n T-shirts as the equation:
[tex]C=250+5.5n[/tex]
For example, if 10 T-shirts were printed, the school would pay:
[tex]C=250+5.5(10)=250+55=\$305[/tex]
We know the school paid $965 and are required to find the number of T-shirts that were printed. If we use the equation with C=965, we can solve it for n:
[tex]965=250+5.5n[/tex]
[tex]965-250=5.5n \Rightarrow 5.5n=715[/tex]
Solving:
[tex]n=715/5.5=130[/tex]
The school paid for printing 130 T-shirts
please help me, due soon
Answer: 1.5
Step-by-step explanation:
3 over 4 divided by 2 = 1.5
~I hope I helped you! :)~
In which number does the 5 represent a value 100 times the value represented by the 5 in 35,187?
A. 117,568
B. 745,321
C. 354,827
D. 543,362
Rewrite the following fraction as a decimal.
19/25 = _____
Giving Brainliess
Answer:
0.76
Step-by-step explanation:
you just divide 19 and 25 to convert it to a decimal
there are 20 houses on Park Street. Every third house has a street light in front of it. How many houses do not have a street light
Answer:
i would say 14 houses do not have a street light.
Step-by-step explanation:
Your answer should be a polynomial in standard form.
(6f-7)(8f-9)=
Answer:
(6f+−7)(8f+−9)
=(6f)(8f)+(6f)(−9)+(−7)(8f)+(−7)(−9)
=48f2−54f−56f+63
=48f2−110f+63
Step-by-step explanation:
In the equation f(x)= 5(x+3)^2-10 what effect does the 5 do when compared to the parent function?
A. Vertical compress by a factor of 5
B. Vertical shift up 5 units
C. Reflect over x-axis
D. Vertical stretch by a factor of 5
Answer:
The correct answer is A. Vertical compress by a factor of 5
Step-by-step explanation:
When graphed without the 5, the curve is very wide, but when the 5 is added, the curve compresses and narrows itself, therefore a vertical compress occurs by the factor of 5.
Answer:
it's B l did this in class
expand 4(2x+1) please
Jackson has 2,000 baseball cards in his collection. Gave has 1/10 as many cards in his collection as Jackson. How many cards does Gabe have in his collection?
Answer: 200
Step-by-step explanation:
You have 2000 and 1/10 is the same as divide by 10 so:
2000/10 = 200
The difference of 5 times a number and 3 equals 7.
What is the number?
Answer:
2
Step-by-step explanation:
The equation would be 5x - 3 = 7. "x" replaces "a number." First you would add 3 to both sides, simplifying to 5x = 10. Now, just divide 5 from both sides, getting the answer, x = 2. So, the number is 2. You can check your work by putting it back into the equation: 5(2) - 3 = 7 goes to 10 - 3 = 7 which goes to
7 = 7.
Ann will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $43.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $57.98 and costs an additional $0.12 per mile driven. How many miles would Ann need to drive for the two plans to cost the same?
Answer:
700 miles
Step-by-step explanation:
Let's write the expressions for each plan.
Plan 1 has an initial fee of $43.98 and an additional $0.14 per mile m.
So, we can write the following expression:
[tex]43.98+0.14m[/tex]
Plan 2 has an initial fee of $57.98 and an additional cost of $0.12 per mile.
So, we can write the following expression:
[tex]57.98+0.12m[/tex]
We want to find after how many miles Ann needs to drive for the two plans to cost the same. So, let's set the two expressions equal to each other and solve for m:
[tex]43.98+0.14m=57.98+0.12m[/tex]
Subtract 43.98 from both sides:
[tex]0.14m=14+0.12m[/tex]
Subtract 0.12m from both sides:
[tex]0.02m=14[/tex]
Divide both sides by 0.02:
[tex]m=700[/tex]
So, after 700 miles, the price of the two plans will cost the same.
Further notes:
This means that if Ann is driving for less than 700 miles, Plan 1 is the cheaper choice since it costs the least to begin with.
However, if Ann is going to drive for more than 700 miles, Plan 2 is the cheaper choice since it has a lower cost per mile additional cost.
What is the slope of the line?
HURRYYYYYY
Answer: 1/2
Step-by-step explanation:
Slope= rise over run
Up 1 over 2 = 1/2
Answer:
[tex]m=\frac{1}{2}[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{4-3}{1-(-1)}[/tex]
[tex]m=\frac{1}{1+1}[/tex]
[tex]m=\frac{1}{2}[/tex]
Determine the domain of the following graph
