Final answer:
The number of playlists that can be created with 38 songs allowing for the repetition of 5 songs is calculated using combinations with repetition, resulting in a total of 850,668 possible playlists.
Explanation:
The question relates to the number of different ways we can create playlists from 38 songs, with the possibility of repeating 5 songs in each playlist. To calculate the number of different playlists that can be made by repeating songs, we need to use combinations with repetition. This is a concept in combinatorics which allows for the selection of items with replacements.
We can represent the problem with a formula used for combinations with repetition: (n + r - 1) choose r, where n is the total number of options (in this case, 38 songs) and r is the number of choices to make (in this case, repeating 5 songs). The formula becomes (38 + 5 - 1) choose 5, which simplifies to 42 choose 5. Using the combination formula, we can compute the total number of possible playlists as follows:
C(42, 5) = 42! / (5!(42-5)!) = 42! / (5!37!) = 850,668
This number represents the total number of playlists we can create with 38 songs, allowing for the repetition of 5 songs on each playlist.
Which relation is a function of x?
Answer:
last option is correct.
Step-by-step explanation:
A relation is a function if each x value has a unique y value.
We'll use this concept to check whether the relation is a function or not.
For the first relation,
the x value 2 has two different values -9 and 8 . Hence, it is not a function.
For the second relation,
the x values -8 and 1 has different y values . Hence, it is not a function.
For the third relation
The x value -5 has different y values. Hence, it is not a function.
For the fourth relation
All the x values have unique y values. Hence, from the definition it is a function.
Therefore, last option is correct.
Justin drank 1 liter of water during soccer practice. He drank 2000 milliliters of water during the soccer game. How many milliliters of water did he drink during the practice and the game?
How do u do #10? Plz show on paper
What is the median of the following data set? {6, 3, 9, 1, 7} 3 6 8 9
Answer:
9
Step-by-step explanation:
what is eleven less than 7 times a number is at least 2 what is the inequality
Hence, the inequality is [tex]x\geq \frac{13}{7}[/tex].
What is an inequality?
A relationship between two expressions or values that are not equal to each other is called 'inequality.
Here given that,
Eleven less than [tex]7[/tex] times a number is at least [tex]2[/tex].
Let the number be [tex]x[/tex]. Construct the inequality
[tex]7x - 11 \geq 2[/tex]
Now add [tex]11[/tex] to both sides.
[tex]7x\geq 2+11\\7x\geq 13[/tex]
Now, divide by [tex]7[/tex] both sides, we get
[tex]x\geq \frac{13}{7}[/tex].
Hence, the inequality is [tex]x\geq \frac{13}{7}[/tex].
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2a - 1 = 19
Solve the equation and show all work please show steps!!
Find x. Round to the nearest hundredth.
50% of babies are born female. Olive wants to find the probability that 20 or more of the 50 babies born today were female. Use the simulation data to find the probability. Round to the nearest percent.
Deyonne made 25% more cookies than Cameron. They sold the cookies for $0.50 each. Let x represent the number of cookies Cameron made. Which of the following expressions represent possible revenue from the sales. Select all that apply.
.50[x+(x+.25x)]
.50(x+.25x)
.50(x+1.25x)
.50(.75x+x)
.50(1.75x)
.50(2.25x)
After taking core samples all over a cone-shaped mountain, you have determined that for every 1,000,000 yd3 there is about 2 lbs of gold to be mined. If the mountain has a base that is 2,000 yards wide and a height that is 3,000 yards tall, about how much gold is it expected to hold?
To find the expected amount of gold in the mountain, calculate the volume of the cone and multiply it by the gold density.
Explanation:To determine the amount of gold expected to be held in the mountain:
Calculate the volume of the cone using the formula V = (1/3)πr²h.
Convert the volume to cubic yards since the gold density is given in lbs per 1,000,000 yd³.
Multiply the volume by the gold density to find the total amount of gold expected in lbs.
You have $85 in your bank account. Each week you plan to deposit $7 from your allowance and $25 from your paycheck. The equation bequals85plus(25plus7)w gives the amount b in your account after w weeks. How many weeks from now will you have $275 in your bank account?
Which describes the correct way to convert minutes to hours?
I don’t know how to find the missing angles
What are three two dimensional shapes that could result from slicing a cube
please help Use the expression 8a + 16c.
Part A
Factor the expression using the GCF.
A. 2(4a + 8c)
B. 4(2a + 4c)
C. 8(a + 2c)
D. 16(12a + c)
Part B
What is the value of the expression when a = –5 and c = –1? Enter your answer in the box.
The required expression is C. 8(a + 2c) and value of the expression when a = –5 and c = –1 is -56.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given the expression is
8a + 16c.
To find the Factor form of the given expression by using GCF.
We have,
8a + 16c.
Factors of each term:
8a = 2 x 2 x 2 x a
16c = 2 x 2 x 2 x 2 x c
The common factors are 2, 2 and 2. then Taking out the greater common factor (GCF) in the given expression;
GCF = 8
The answer is C. 8(a + 2c)
when a = –5 and c = –1
Then;
8(a + 2c)
8(-5 + 2(-1)) = 8 (-7) = -56
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the pyramid arena in memphis tennessee is a square pyamid that is 321 feet tall. the base has 600 foot sides. find the volume of the pyramid
Malik drinks 1\2 liter of water and 1\3 liter of liter of juice.did malik drink more water or juice?
Hurry I'm TIMED!!!! The following graph shows the low temperatures for the past six nights. What was the range of temperatures for the six nights?
34°F
22°F
12°F
8°F
Answer:
the answer above is incorrect! So you take 22 which is the lowest on the graph and you take 34 which is the highest on the graph and 8 is not on the graph so 34-22=12
Step-by-step explanation:
SOYOUR ANSWER IS: 12YOU ARE WELCOME MY DEAREST FRIEND!9. A model of a building is made using a scale of 1 inch = 25 feet. What is the height of the actual building, in feet, if the height of the model is 12.5 inches?
*PLZ HELP* *DUE IN 1 HOUR* *EMERGENCY* *17 POINTS* *YOU WILL GET A COOKIE*
Answer:
312.5
Step-by-step explanation:
i wil get my cookie
Kerry cut an 8 foot long board into 6 pieces that are equal in length. Represent this problem as a fraction
translate the verbal phrase into a algebraic expression pls
A dairy mixes chocolate milk to sell in gallon containers. They mix 2,365 cups of skim milk with 108 cups of chocolate syrup. If each gallon container holds 16 cups of the chocolate milk, how many full containers will be filled?
How do you solve 9x+2=8x+9
A parallelogram is symmetric with respect to either diagonal. true or false?
Not all parallelogram is symmetric with respect to either diagonal, therefore the answer is False.
A parallelogram is known as a quadrilateral (having four sides) with two pairs of parallel-lateral lines. A parallelogram has no line of symmetry but there are some exceptions to specific types of parallelograms. For example:
Rhombus is a special type of parallelogram and it has two lines of symmetry along its diagonals.A rectangle has two lines of symmetry going through the mid-point of the opposite sides.A square has four lines of symmetry with two lines going through the diagonal and two lines going through the opposite sides.Therefore, we can conclude that not all parallelogram is symmetric with respect to either diagonal.
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A deep-sea diver must descend and ascend in short steps to equalize pressure on his body. If the diver rises toward the surface too fast, he may suffer from a physical condition called "the bends." Suppose the diver started at 82 feet below the surface and rose in 5 steps of 15 feet each. Use an integer to describe his new position in relation to the water surface.
Answer:
-7 feet
Step-by-step explanation:
The total distance the diver rose is 5*15 = 75 feet
If we take the zero at the water surface, then the initial position, that is, 82 feet below the surface has to be considered as -82. The 75 feet risen by the diver is a positive quantity, then his new position, in relation to the water surface, is -82 + 75 = -7 feet, i. e. 7 feet below the surface.
a square has the sides of 2 yards. plastic cues with sides of 8 inches are placed on the rug. if the cubes cost $2 each, how much money is needed to completely cover the rug with the cubes
During a 5-year period, 32% of snowstorms in a certain city caused power outage Fifty-one of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the 5-year period.
A mini-cube measures 1.5 in. wide. A mega-cube is 5 times as wide. What is the volume of the mega-cube, rounded to the nearest tenth?
Answer:
the answer is 421.9 in³
find the measure of the missing angle in the triangle shown 49° 57°
PLZ!!! HELP!!!!!!!!!
This figure is 14 of a circle.
What is the best approximation for the perimeter of the figure?
Use 3.14 to approximate pi.
A.7.85 in.
B.12.9 in.
C. 17.9 in.
D. 31.4 in.
The file is the picture of the quarter or 1/4 circle
Answer:
C. 17.9
Step-by-step explanation:
Formula: 1/4 π x d
d = diameter
d = 2r
1/4 π x 10 = 10/4 π
Add the 2 non-curve sides
5 + 5 = 10
10/4 x (3.14 = π) x 10
= 17.9
I hope this helps! :)