Priya's favorite singer has made 6 albums containing 75 songs in total. Priya wants to make a playlist of 10 of
those songs, and she won't repeat 1 of the 75 songs.
The permutation formula n Pr can be used to find the number of unique ways Priya can pick and arrange the
songs for the playlist
What are the appropriate values of n and r?

Answer:

[tex]\sf \bold{\begin{pmatrix}7&-12&6\\ 3&-2&7\\ -12&-1&2\\ 7&3&-2\end{pmatrix}}[/tex]

Explanation:

[tex]\Longrightarrow \ \sf Give n \ A = \sf \bold{\begin{pmatrix}2&-9&8\\ 4&2&-1\\ -5&-3&7\\ 4&8&-4\end{pmatrix}}[/tex]

[tex]\Longrightarrow \ \sf Given \ B = \bold{\begin{pmatrix}-5&3&2\\ 1&4&-8\\ 7&-2&5\\ -3&5&-2\end{pmatrix}}[/tex]

Solve:

[tex]\sf A - B = \begin{pmatrix}2&-9&8\\ \:4&2&-1\\ \:-5&-3&7\\ \:4&8&-4\end{pmatrix}- \begin{pmatrix}-5&3&2\\ 1&4&-8\\ 7&-2&5\\ -3&5&-2\end{pmatrix}[/tex]

subtract the elements in matching positions

[tex]\sf A - B = \begin{pmatrix}2-\left(-5\right)&\left(-9\right)-3&8-2\\ 4-1&2-4&\left(-1\right)-\left(-8\right)\\ \left(-5\right)-7&\left(-3\right)-\left(-2\right)&7-5\\ 4-\left(-3\right)&8-5&\left(-4\right)-\left(-2\right)\end{pmatrix}[/tex]

Final Outcome

[tex]\sf \bold{\begin{pmatrix}7&-12&6\\ 3&-2&7\\ -12&-1&2\\ 7&3&-2\end{pmatrix}}[/tex]

Answer: 6

Step-by-step explanation:

I believe it is 6

Answer:

13 / 8 in

Step-by-step explanation:

Longest ( 1 7/8)  - shortest ( 2/8) = 13/8 in

Answer:

  $18.06

Step-by-step explanation:

The price the pawn shop charged for the DVD player was 40% more than what it paid, so was ...

  $12.00 + $12.00 × 0.40 = $12.00×(1 +0.40) = $16.80

__

The tax on the purchase is this price multiplied by the tax rate:

  tax = 0.075×$16.80 = $1.26

__

Then the total including tax is ...

  $16.80 +1.26 = $18.06 . . . . . total cost of the DVD player

Answer: Please send more, is that all??

Step-by-step explanation:

I need more clarification, what are you trying to answer?

Answer: Below

Step-by-step explanation:

Angles 1, 3, 5, 7 are 120 degrees.

Angles 4, 2, 8, 6 are 60 degrees.

angles 10, 12, 13, 15 are 70 degrees.
Angles 9, 11, 16, 14, are 110 degrees.
angle 17 is 50 degrees.

Answer:

○ [tex]\displaystyle (x - 4)^2 + (y + 2)^2 = 25[/tex]

Explanation:

Accourding to one of the circle equations, [tex]\displaystyle (x - h)^2 + (y - k)^2 = r^2,[/tex]the centre of the circle is represented by [tex]\displaystyle (h, k).[/tex]Moreover, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to which term gets which symbol. Another thing you need to know is that the radius will ALWAYS be squared, so no matter how your equation comes about, make sure that the radius is squared. Now, in case you did not know how to define the radius, you can choose between either method:

Pythagorean Theorem

[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 4^2 + 3^2 = r^2 \hookrightarrow 16 + 9 = r^2 \hookrightarrow \sqrt{25} = \sqrt{r^2} \\ \\ \boxed{5 = r}[/tex]

Sinse we are dealing with length, we only desire the NON-NEGATIVE root.

Distanse Equation

[tex] \displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = d \\ \\ \sqrt{[-7 + 4]^2 + [-2 - 2]^2} = r \hookrightarrow \sqrt{[-3]^2 + [-4]^2} = r \hookrightarrow \sqrt{9 + 16} = r; \sqrt{25} = r \\ \\ \boxed{5 = r}[/tex]

Sinse we are dealing with distanse, we only desire the NON-NEGATIVE root.

I am joyous to assist you at any time.

Answer:

the population will be 1,540,000 in 7 yrs

Answer: 377041.34

Step-by-step explanation: if it is growing 8 percent then you will add 8 percent to 100 which will equal 108 percent

Plug that into a calculator with the starting number so it wil look like 108% 220,000 and if you do that seven times you will get the answer.

Answer:

D. Point D

Step-by-step explanation:

4.82 is close to 5 so D is right A and B are not even close. C is a little to close to 4.5 to be 4.82. But D looks like it could be 4.82 to though so D is right.

f(x)=7x+12

Put y in place of f(x).

y=7x+12

Switch x and y.

x=7y+12

Solve for y.

x-12=7y

(x-12)/7=y

Put in the f^-1(x) notation.

f^-1(x)=(x-12)/7

The measure of AB and EF for the similar triangle ABC and DEF are 4 and 12 respectively.

Similar triangles are triangles that have the same shape, but their sizes may vary.

In similar triangles, corresponding sides are always in the same ratio. The angles are congruent.

ΔABC is similar to ΔDEF. Therefore, the sides will form a ratio.

AC / DF = BC / EF = AB/DE

AC = 10

DF = 20

DE = 8

BC = 6

Hence,

10 / 20 = AB / 8

cross multiply

20AB = 80

AB = 80 / 20

AB = 4

Hence,

10 / 20 = 6 / EF

10EF = 120

EF = 120 / 10

EF = 12

learn more on similar triangle here: https://brainly.com/question/11943039

Answer:

479 ft^2

Step-by-step explanation:

Area of the bottom rectangle =  30 X 20 = 600 sq ft

  then subtract the areas of the window and the door

     600 -  (5x3) - (2x3) = 579  ft^2

Then add the triangular top area

 1/2  (20)(10) = 100

579 - 100 = 479 ft^2

Answer: 2/5

1/5 you will keep

you will CHANGE the division sign to multiplication, never change when it is multiplication.

1/5 X 1/2

You will FLIP  2/1 into 1/2. Now multiply numerator x numerator, denominator x denominator.

1/5 X 1/2= 2/5

Now you have gotten your answer but for the future, the numerator should never be greater than the denominator, if it is, divide.

The 11 figures do NOT belong with the other three figures. Then the correct option is B.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

If all the sides of the polygon are congruent, then the polygon will be known as a regular polygon.

In a trapezoid, the length of all the sides is not congruent. Then the trapezoid (11) figures do NOT belong with the other three figures.

Then the correct option is B.

More about the polygon link is given below.

https://brainly.com/question/17756657

#SPJ2

Answer:

39⁰

Step-by-step explanation:

WE KNOW THAT,

SUM OF ALL ANGLES OF A TRIANGLE IS EQUAL TO 180⁰

P+Q+R=180⁰

2x⁰-9⁰+x⁰+33⁰+x⁰=180⁰

4x⁰+24⁰=180⁰

4x=180⁰-24⁰=156⁰

x=39⁰

Answer:

V = 8.5 cubic units

Step-by-step explanation:

[tex]2\frac{1}{8} =\frac{16+1}{8} =\frac{17}{8}[/tex]

[tex]V=4(\frac{17}{8} )=\frac{68}{8} =\frac{17}{2}= 8.5u^{3}[/tex]

Hope this helps

The first step where the student made an error is in step 4 because the solution is one continuous interval.

A function can be continuous in nature on an interval and this is said to be the time when the function is said to be seen at all point on that given interval and does not get any interruptions or breaks.

Note that in step 3, the values for x for which y₁ ≤ y₂  is x = 3 or x= 5. and in step 4 , the error is here when it state the  solution is one continuous interval because there are more than one interval which is (∞, 3) ∪ (5, ∞)

Learn more about continuous interval from

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Answer:

No

Step-by-step explanation:

So, you can use the distributive property.

1/2(6x)=3x

1/2(-2)=-1

It is 3x-1, not 3-x

Answer:4/9 We know, Probability = Favorable Outcome / Total Outcome

Here, Favorable Outcome (Number of Green Marbles) = 8

Total Outcome = 6 + 4 + 8 = 18

P = 8 /18 = 4/9

In short, Your Answer would be 4/9 or 0.44

Hope this helps!

Answer:

[tex]\tan \theta ~~ \text{and}~~ \tan( \pi - \theta)[/tex]

Step-by-step explanation:

[tex]\textbf{A)}\\\\-\tan \dfrac{3 \pi}4 = - \tan\left(2 \times \dfrac{\pi}2 - \dfrac{\pi}4 \right) = - \left(- \tan \dfrac{ \pi}4 \right) = \tan \dfrac{\pi}4\\\\\textbf{These pairs are equal.}\\\\\\ \textbf{B)}\\\\\tan \left( \dfrac{5 \pi}4 \right) = \tan \left( 2 \times \dfrac{\pi}2 + \dfrac{\pi}4\right) = \tan \dfrac{\pi}4\\\\\textbf{These pairs are equal.}\\\\ \textbf{C)}\\\\\tan \dfrac{\pi}2= - \tan 90^{\circ} = \infty\\\\\\\textbf{These pairs are equal.}\\\\\\ \textbf{D)}\\\\[/tex]

[tex]\tan ( \pi - \theta ) = - \tan \theta \neq \tan \theta\\\\\textbf{These pairs are not equal.}[/tex]

a) Substitute t = 2 into the formula

= 600e^0.1(2)

= 600e^0.2

= 732.84 million

Therefore, 732.84 million bacteria are present after 2 days

b) Substituting t = 4 days we get

= 600e^0.1(4)

= 600e0.4

= 895.09 million

Hence, 895.09 million bacteria are present after 4 days

c) 2 weeks = 14 days

Substituting t = 14 days we get

= 600e^0.1(14)

= 600e^0.4

= 2433.12 million

Thus, 2433.12 million bacteria are present after 2 weeks

Answer:

Area of rectangle = 65/8 yd²

Step-by-step explanation:

The area of the rectangle is the length multiplied by the width. In this case, we are given the length 3 1/4 yd and the width 2 1/2 yd wide. Therefore,

        ⇒ Area of rectangle = (L × B) = (3 1/4 × 2 1/2) yd²

It is suggested to convert the terms in the expression (3 1/4 × 2 1/2) to improper fraction. Therefore,

        ⇒ Area of rectangle = [(3 × 4) + 1]/4 × [(2 × 2) + 1]/2 yd²

        ⇒ Area of rectangle = [(12) + 1]/4 × [(4) + 1]/2 yd²

        ⇒ Area of rectangle = [13]/4 × [5]/2 yd²

        ⇒ Area of rectangle = 13/4 × 5/2 yd²

Simplify the expression on the right hand side to determine the area.

        ⇒ Area of rectangle = 65/8 yd²

Thus, the area of the rectangle is 65/8 yd².

Simplify the expression.

149x

hope this is what your looking for

The fraction of total interest owed after the fifth month of a 12-month loan is 64.1%

From the question, we have the following parameters

After the fifth month, the equation of the numerator is:

Numerator = (1+11)+(1+10)+(1+9)+(1+8)+(1+7)

Numerator = 50

The equation of the denominator is:

Denominator = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12

Denominator = 78

The fraction of total interest is then calculated using:

Fraction = Numerator/Denominator

This gives

Fraction = 50/78

Express as percentage

Fraction = 64.1%

Hence, the fraction of total interest owed after the fifth month of a 12-month loan is 64.1%

Read more about loan and interest at:

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[tex]5(4m+2)\\\\=20m+10[/tex]