You want to make a playlist with all different songs. How many ways can you make a playlist of 16 songs if you must play Leavon, Dream on, Here Comes the Sun, and Clocks in that order?

Answer in permutations

The composite function g(f(x)) is equivalent to 10x^2 - 1

This are also referred to as function of a function. Given the following functions;

f(x) = 2x^2 - 5

g(x) = 5x + 7

In order to determine the composite function g(f(x))

g(f(x)) = g(2x^2 - 5)

Replace x with 2x^2 - 5 in g(x) to have;

g(f(x)) = 5(2x^2 - 5) + 7

g(f(x)) = 10x^2 - 18

Hence the composite function g(f(x)) is equivalent to 10x^2 - 1

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On graph B, the group of birds seems to have twice as much as the group of mammals.

The change in scale on the y-axis from 50 to 85 in increments of 5 in Graph A to 0 to 80 in increments of 10 in Graph B makes the differences between the groups appear larger in Graph B.

As a result, the height of the bar for birds is approximately twice as much as the height of the bar for mammals in Graph B, which may not be apparent in Graph A.

Therefore, the correct option is (a) On graph B, the group of birds seems to have twice as much as the group of mammals.

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Answer:

Step-by-step explanation:

Using proportional relationships solve for the length of PQ;

Answer:

2.5 cm

Step-by-step explanation:

From the first 4 bounces, we find that the height of the lacrosse ball after each bounce is 1/4 the height that it was after the previous bounce. Therefore, since the 7th bounce is 6 bounces after the first bounce, we can set up an equation to find the balls height (y), after some number of bounces after the first one:

\(y=10240*(\frac{1}{4})^x\).

Plug-in 6 for x to get 2.5.

Hope this helps :)

Answer: 9m + 5y + 1

Step-by-step explanation:

3 + 6m + -2y - 2 + 3m + 7y

3 + -2 = 1

1 + 6m + -2y + 3m + 7y

-2y + 7y = 5y

1 + 6m + 5y + 3m

6m + 3m = 9m

9m + 5y + 1

Answer:

1+9m+5y

Step-by-step explanation:

Answer:

B = $140

Step-by-step explanation:

for part A, the graph is linear line with a Y intercept at (0,65) so this means that if you were to have no charms it would cost 65 dollars, since the y axis represents cost. then for every 1 increment on the x axis (number of charms) the Y value increases by 25 so the slope is \(\frac{25}{1}\)

we also can conclude that there is no negative domain since you cannot have negative charms, and the range begins at 65 since you cannot get a bracelet for less money

for part B, y=25x+65

so for three charms, x is represented as 3 so y=25(3) +65 which is 75+65=y= $140

Answer:

Am = 5 * 6^(m-1)

Step-by-step explanation:

30/5 = 6

180/30 = 6

Am = 5 * 6^(m-1)

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

4x²=2(x-4)

2x²=x-4

2x²-x+4=0​

x=1+√31​/ 4, 1-√31​/4

Step-by-step explanation:

1. Cancel log on both sides

2. Divide both sides by 2

3. Move all terms to one side

4. Use the quadratic formula

The length of BD is 22.

In the given scenario, let's consider the following information.

AD = 8

AE = 6

EC is 12 more than BD.

To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.

From the given information, we know that AD = 8 and AE = 6.

Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.

First, let's find the intercepted arc corresponding to AD:

Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16

Similarly, we can find the intercepted arc corresponding to AE:

Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12

Now, we know that EC is 12 more than BD.

Let's assume the length of BD as x.

BD + 12 = EC

Now, let's consider the intercepted arcs theorem:

Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C

16 - 12 = Angle B - Angle C

4 = Angle B - Angle C.

Since Angle B and Angle C are vertical angles, they are congruent:

Angle B = Angle C.

Therefore, we can say:

4 = Angle B - Angle B

4 = 0

However, we have reached an inconsistency here.

The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.

As a result, we cannot determine the length of BD based on the given information.

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Answer:

the answer is 70%

Step-by-step explanation:

if all equals 100% and theres 10 pounds that means 7 pounds is eaqual to 70%

Answer:

(1.5,1)

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Assuming you meant to find MN.

Given that MN is parallel to the bases of the given trapezoid, and is connected to the midpoints of both sides, we can infer that MN is the midsegment of the given trapezoid.

The length of a midsegment is given by half the sum of the bases.
Therefore, MN = (18 + 10)/2 = 28/2 = 14

Answer:

x = 5

Step-by-step explanation:

We know that BD = 2x - 1 and BC + CD = BD.  Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:

BC + CD = BD

x - 3 + 7 = 2x - 1

x + 4 = 2x - 1

x + 5 = 2x

5 = x

Thus, x = 5

Checking the validity of our answer:

We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:

5 - 3 + 7 = 2(5) - 1

2 + 7 = 10 - 1

9 = 9

Thus, our answer is correct.

Answer:110 degrees

Step-by-step explanation:

The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.

Expression in mathematics is a combination of symbols and numbers, often using an operation, such as addition, subtraction, multiplication, or division. It can represent a number, a variable, a function, or a mathematical statement. It can also represent a combination of these things. Expressions are used to describe relationships between numbers, variables, and mathematical concepts.

The expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and there are 2 shelves in total. This expression can be used to calculate the total number of head wraps on the shelves by multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves). As such, the expression 8×2 can be used to find the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total, resulting in a total of 16 head wraps.

In conclusion, the expression 8x2 can be used to calculate the total number of head wraps on the shelf when there are 8 head wraps per shelf and 2 shelves in total. By multiplying 8 (the number of head wraps per shelf) by 2 (the number of shelves), the total number of head wraps on the shelf can be found, resulting in a total of 16 head wraps.

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Complete questions as follows-
In which situation can the Expression
on 8×2 be used to find the total number of head wraps on the shelf?

The approximate lateral area of the cone is solved to be 314 cm²

From the question we get that:

The area of the circular base of a cone is 25π cm²

25π cm² =  πr²

the slant height of the cone is four times the radius of the cone

L = 4r

Lateral area of the cone

= πrl square units.

solving for r

25π cm² =  πr²

r² = 25

r = 5

solving for the lateral area of the cone

= πrl square units.

= π * 5 * 4r  

= π * 5 * 4 * 5

= 100π

= 100 * 3.14

= 314 cm²

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When you multiply 1 by any number, you get the number back

1*4 = 4

1 * 6 = 6

1*8 = 8

So for your question

1*4 = 4

Answer:

657in squared

Step-by-step explanation:

Answer:

-2/6

Step-by-step explanation:

Slope is the m in y = mx + b, while b is y-intercept.

Just by looking at it, you can see that the line has a negative slope becasue it's going downwards and to the right. You can also tell that the slope is in fact -2/6 because it goes downwards⬇ 2 units and to the right ➡ 6 units.

Remember rise/run, where rise is looking at the y-axis or vertical and run is the x-axis or horizontal.

Hope this helps :)

Answer:  $130 money did Brenda and Hazel have all together before buying decorations and snacks.

Here, we have,

You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.

Setup

Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...

 (x/2 -58) : (x/2 -37) = 1 : 4

Solution

Cross-multiplying gives ...

 4(x/2 -58) = (x/2 -37)

 2x -232 = x/2 -37 . . . . . . eliminate parentheses

 3/2x = 195 . . . . . . . . . . . . add 232-x/2

 x = (2/3)(195) = 130 . . . . . multiply by 2/3

Brenda and Hazel had $130 altogether before their purchases.

Alternate solution

The difference in their spending is $58 -37 = $21.

This is the same as the difference in their final balances.

That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.

Their ending total is 1+4 = 5 ratio units, or $35.

The total they started with is $58 +37 +35 = $130.

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complete question:

Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?

The distance of the next two stops if the map uses a scale of 1 centimeter = 7 kilometers is 70km

From the information, Allie, a professional golfer, is playing on a golf tour. The next two stops are 10 centimeters apart on a map of the tour.

We want to know how far apart are the next two stops if the map uses a scale of 1 centimeter = 7 kilometers.

Therefore, 1 centimetre = 7 kilometres.

In this case, 10cm will be:

= 10 × 7

= 70km

The distance is 70km.

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Using binomial probability, the probability is 0.8897

Using binomial probability formula, we can determine the number of defective batteries

In this case, n = 1,200 (the sample size) and p = 0.006 (the probability of finding a defective battery).

We want to find the probability of finding 5 or fewer defective batteries, which is equivalent to finding the cumulative probability up to 5.

Let's calculate this probability:

P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

Using the binomial probability formula:

\(P(X = k) = C(n, k) * p^k * (1 - p)^(^n ^- ^k^)\)

where C(n, k) represents the number of combinations of n items taken k at a time.

Plugging the values and solving;

P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) =

\(C(1200, 0) * 0.006^0 * (1 - 0.006)^(^1^2^0^0 ^- ^0^)\\+ C(1200, 1) * 0.006^1 * (1 - 0.006)^(^1^2^0^0 ^- ^1^)\\+ C(1200, 2) * 0.006^2 * (1 - 0.006)^(1^2^0^0 ^- ^2^)\\+ C(1200, 3) * 0.006^3 * (1 - 0.006)^(^1^2^0^0 ^- ^3)\\+ C(1200, 4) * 0.006^4 * (1 - 0.006)^(^1^2^0^0 ^- ^4)\\+ C(1200, 5) * 0.006^5 * (1 - 0.006)^(^1^2^0^0 ^- ^5^)\)

To calculate these probabilities, we need to use a combination formula to determine the number of combinations. The combination formula is given by:

C(n, k) = n! / (k! * (n - k)!)

Now let's calculate the probability:

\(P(X \leq 5) = \\C(1200, 0) * 0.006^0 * (1 - 0.006)^(^1^2^0^0 ^- ^0^)\\+ C(1200, 1) * 0.006^1 * (1 - 0.006)^(^1^2^0^0 ^- ^1^)\\+ C(1200, 2) * 0.006^2 * (1 - 0.006)^(^1^2^0^0 ^- ^2^)\\+ C(1200, 3) * 0.006^3 * (1 - 0.006)^(^1^2^0^0 ^- ^3^)\\+ C(1200, 4) * 0.006^4 * (1 - 0.006)^(^1^2^0^0 ^- ^4^)\\+ C(1200, 5) * 0.006^5 * (1 - 0.006)^(^1^2^0^0 ^- ^5^)\)

Using a calculator or statistical software to perform the calculations, we find that the probability is approximately 0.8897 when rounded to four decimal places

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Answer:

your answer is -5/9

Step-by-step explanation:

Answer:

given that -7/3×5/21

=-7×5/3×21

=-35/63( divided by 7)

=-5/9

i hope this will help you

Answer:

wich question??????????????

cual

no te entiendo me puedes explicar