Layla has a points card for a movie theater.
• She receives 60 rewards points just for signing up.
• She earns 11.5 points for each visit to the movie theater.
. She needs 129 points for a free movie ticket.
Write and solve an equation which can be used to determine x, the number of visits
Layla must make to earn a free movie ticket.

Answer:

1. x=7

2. x=11

3. x=0.2

Step-by-step explanation:

Answer:

B. 3.6 = 3h

Step-by-step explanation:

Area of rectangle formula :-

A = L × W

3.6 = 3 × W OR the answer choic it gave is 3.6 = 3h.

Hope this helps, thank you !!

The value of the function f(n)=5n+8 for f(4) will be 28.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given function is f(n)=5n+8. The value of the function at equal to 4 will be calculated as below:-

f(n)=5n+8

f(4) = ( 5 x 4 + 8 )

f(4) = 20 + 8

f(4) = 28

Therefore, the value of the function f(n)=5n+8 for f(4) will be 28.

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Answer:

Monica = 48.50

Samuel = 24.25

Kara = 17.25

Step-by-step explanation:

First you write equations as you are reading the text:

m = 2s ("Monica earned twice as much as Samuel")

s = k+7 ("Samual earned 7 more than Kara")

m = 48.50

Next, you convert these equations to solve for s and k respectively.

So, if m=2s, then s=m/2:

s = m/2 = 24.25

Likewise, if s=k+7, then k=s-7

k = s-7 = 17.25

The difference between greatest and least is 48.50 - 17.25 = 31.25

Answer:

Step-by-step explanation:

Answer:

Mark me as brain list plz for fun I need to get my expert rank

Step-by-step explanation:

There is no attachment to see any grams post then I will answer

Answer:

4,550

Step-by-step explanation: 7 x 650 is 4,550

Answer:

12

Step-by-step explanation:

hope it helps

Answer:

Its 12

Step-by-step explanation:

The number of ways to form an 8-person committee with 4 men and 4 women is 9,180. The number of ways to form a committee with at least 2 men is 70,320. The number of ways to form a committee with more women than men is 7,620. This can be solved by the concept of  Permutation and Combination.

If the committee must contain four men and four women, there are 7,425 ways to form the committee. If there must be at least two men, there are 58,275 ways to form the committee. If there must be more women than men, there are 26,207,700 ways to form the committee.

To find the number of ways to form a committee with four men and four women, we can use combinations. The number of ways to choose 4 men out of 12 is 495, and the number of ways to choose 4 women out of 15 is 1,365.

To get the total number of ways, we can multiply these numbers:

495 x 1,365 = 7,425.

To find the number of ways to form a committee with at least two men, we need to consider two cases: 2 men and 6 women, and 3 men and 5 women. For the first case, we can choose 2 men out of 12 in 495 ways, and 6 women out of 15 in 5,005 ways. For the second case, we can choose 3 men out of 12 in 2,190 ways, and 5 women out of 15 in 3,003 ways.

To get the total number of ways, we can add these numbers:

495 x 5,005 + 2,190 x 3,003 = 58,275.

To find the number of ways to form a committee with more women than men, we can use a different approach. We can count all the possible committees with 1 man, 2 men, 3 men, and 4 men, and then subtract the committees that have more men than women. There are 15 ways to choose 1 man, 330 ways to choose 2 men, 3,960 ways to choose 3 men, and 12,870 ways to choose 4 men.

To count the committees with more men than women, we can use the complement rule. This means we need to count the committees with 4 men and 0, 1, 2, or 3 women, the committees with 3 men and 0 or 1 women, the committees with 2 men and 0 women, and the committee with 1 man and 0 women.

Adding these numbers gives us the total number of committees with more women than men:

15 + 330 + 1,320 + 2,772 + 330 + 15 = 26,207,700

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Winning lottery 5 times most likely, guessing 64-bit key, 128-bit key, hit by lightening.

What is probability ?

Probability is a measure of the likelihood of an event occurring. It is typically expressed as a decimal or fraction between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain.

1) Being hit by lightning this year (probability is 1/105) - The probability is the lowest because the odds of being hit by lightning in a given year are relatively low.

2) Guessing a 128-bit key on the first try - The probability of guessing a 128-bit key on the first try is very low because of the large number of possible key combinations.

3) Guessing a 64-bit key on the first try - The probability of guessing a 64-bit key on the first try is lower than guessing a 128-bit key, but still relatively low because of the large number of possible key combinations.

4) Winning a lottery with 1 million (106) contestants five times in a row (the probability is (1/106)5) - The probability of winning a lottery with such large number of contestants is relatively low, but it is still much higher than the first three events.

So the order is:

1) Being hit by lightning this year

2) Guessing a 128-bit key on the first try

3) Guessing a 64-bit key on the first try

4) Winning a lottery with 1 million contestants five times in a row,

Winning lottery 5 times most likely, guessing 64-bit key, 128-bit key, hit by lightening.

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Answer:

4) m: 1.25   b: 6         Equation: y= 1.25x + 6

5) m: 20      b: 10     Equation: y= 40x + 10

6) m: -2       b: 0       Equation: y= -2x + 0

7) m: 1/5      b: 1       Equation: y= 1/5x + 1

8) -8.7 = 1.3x + 0

I really hope this helps!

Using synthetic division, we can divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1. Performing the synthetic division, we obtain a quotient of x² + 6x - 6 and a remainder of 8.

To divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1 using synthetic division, we set up the synthetic division table as follows:

1  |   1   7  -12   14

We begin by bringing down the coefficient of the first term, which is 1, and place it on the line below the division bar. Then we multiply the divisor, 1, by the value we brought down and write the result under the next coefficient. Adding the values in the second row, we obtain the new value. We continue this process for each term until we reach the last term.

1  |   1   7  -12   14

 1   8  -4     10

The values in the last row represent the coefficients of the quotient polynomial. Therefore, the quotient is x² + 6x - 6. The remainder, which is the last value in the last row, is 10. Since the divisor is 1, the remainder does not affect the quotient. Hence, the result of the division is x² + 6x - 6 with a remainder of 10.

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Answer issssssss 1.52

Answer:

2.52

Step-by-step explanation:

The correct answer is option B which is a circle that can not be circumscribed on the given quadrilateral.

The circle is defined as the locus of the point traces around a fixed point called the centre and is equidistant from the outer trace.

In the image we have a quadrilateral having different angles so the vertices of the quadrilateral are also at different positions if we form the circumscribed circle over a given quadrilateral it will not pass through all the vertices of the quadrilateral.

Therefore the correct answer is option B which is a circle that can not be circumscribed on the given quadrilateral.

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Answer:

v = 52

Step-by-step explanation:

v = u + at

v = 7 + (5 ×9)

v = 7 + 45

v = 52

Answer:

it would be 90, if you add 60 and 30 together you get 90! :')

Step-by-step explanation:

Step-by-step explanation:

Year 1 = 2000

Year 5 = 4000

Year 10 = 8000

Year 15 = 16000

Year 20 = 32000

5 years = 16000

1 year = 16000/5

1 year = 3200

16000 (15yrs) + 3200 (1yr) = 19200

6/10 × 3200 = 0912

16000 (15yrs) + 3200 (1yr) + 912 (.6yr) = 20112

Possible ans = B

Did it mentally so pardon me if i made any mistakes... dont take my ans for it but check ot over.

The modified Reynolds analogy, also known as the Chilton-Colburn analogy, is expressed mathematically as Nu = f * Re^m * Pr^n. It relates the convective heat transfer coefficient (h) to the skin friction coefficient (Cf) in fluid flow. This equation is widely used in heat transfer analysis and design applications involving forced convection.

The modified Reynolds analogy is a useful tool in heat transfer analysis, especially for situations involving forced convection. It provides a correlation between the heat transfer and fluid flow characteristics. The Nusselt number (Nu) represents the ratio of convective heat transfer to conductive heat transfer, while the Reynolds number (Re) characterizes the flow regime. The Prandtl number (Pr) relates the momentum diffusivity to the thermal diffusivity of the fluid.

The equation incorporates the friction factor (f) to account for the energy dissipation due to fluid flow. The values of the constants m and n depend on the flow conditions and geometry, and they are determined experimentally or by empirical correlations. The modified Reynolds analogy is widely used in engineering calculations and design of heat exchangers, cooling systems, and other applications involving heat transfer in fluid flow.

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an = 17 * 7^(n-1).This is the explicit formula for the geometric sequence representing the company's expenses after n years in business, in thousands of dollars.

To find the explicit formula for the geometric sequence representing a company's expenses after n years in business, we first need to understand what a geometric sequence is. A geometric sequence is a sequence of numbers where each term is found by multiplying the previous term by a fixed number called the common ratio. In this case, the common ratio is 7.The recursive formula for this sequence is an = 7an-1 with a1 = 17. This means that to find any term in the sequence, we need to multiply the previous term by 7. For example, to find a2, we would take a1 (which is 17) and multiply it by 7, giving us 119.
To find the explicit formula for the sequence, we need to find a formula that gives us the nth term directly, without having to go through all the previous terms. To do this, we can use the formula for a geometric sequence, which is:
an = ar^(n-1)
where a is the first term, r is the common ratio, and n is the term number.In this case, the first term is 17 and the common ratio is 7. Substituting these values into the formula, we get:
an = 17 * 7^(n-1).

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The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

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It will take 35 years to double the population

Percentages are just fractions with a denominator of 100. To show that a number is a percentage, we place the percent sign (%) next to it. For instance, if you properly answered 68 out of 100 questions on a test, you would have received a 68% grade (68/100).

According to the given information

Let \(P(0)\) be initial population

and K be the growth rate

Then Population of the country after t years

\(P = P(0)e^{Kt}\)

Let x be the present population

2x will be the double of present population

And we know

The growth rate K = 0.02%

So

The value of t could be determined as follows

\(xe^{0.02t}=2x\)

\(e^{0.02}=2\)

\(0.02t=ln(2)\)

Multiply both sides by 1000

0.02t × 1000 = ln(2) × 1000

Refine

20t = ln(2) × 1000

Divide both sides by 20

\(\frac{20t}{20}=\frac{ln(2).1000}{20}\)

t = \(ln(2).500\)

t = 0.693×50

t = 34.65 years

t = 35 years

It will take 35 years to double the population

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Answer:

C

Step-by-step explanation:

y=mx+b m=slope b=y-intercept, y-int: 4 slope: 3/1 but can just be put as 3. y=3x+4 bc it's a positive slope with a positive y-int.

The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658.

The probability of an event occurring is defined by probability.

Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

As per the given,

Total songs = 53

Like songs = 14

Probability of selecting and liking the first song = 14/53

Now since repetition is not allowed and one like the song has been chosen out of 14 thus, the remaining songs = 13, and total songs = 43 - 1 = 52

Probability of selecting liking the second song = 13/52

Probability of selecting liking the third song = 12/51

Probability of selecting liking the fourth song = 11/50

a)

The probability of liking all songs will be 14/53 x 13/52 x 12/51 x 11/50 = 0.03418.

b)

The probability of not liking the next four songs =1 - The probability of liking all songs

The probability of not liking the next four songs = 1 - 0.03418 = 0.96582.

Hence "The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658".

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The mean, median, and mode of the data set are 5.71, 5, and 13, respectively. The range, variance, standard deviation, and coefficient of variation are 13, 13.69, 3.71, and 63.4%, respectively. There are no outliers in the data set. The data set is slightly right-skewed.

(a) The mean is calculated by averaging all the data points. The median is the middle value when the data points are sorted in ascending order. The mode is the most frequent data point.

(b) The range is the difference between the largest and smallest data points. The variance is a measure of how spread out the data points are. The standard deviation is the square root of the variance. The coefficient of variation is a measure of the relative spread of the data points.

(c) The z-scores are calculated by subtracting the mean from each data point and then dividing by the standard deviation. The z-scores are all between -2 and 2, so there are no outliers in the data set.

(d) The data set is slightly right-skewed because the median is less than the mean. This means that there are more data points on the left side of the distribution than on the right side.

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Answer:

1=15?

Step-by-step explanation:

5*4=15 becuz lower angle=top 1 angle and stuff i hope this helps. im just a helpless 6th grader :)

Answer:

\(96\)

Step-by-step explanation:

\(We\ are\ given:\\82-(-14)\\As\ we\ know\ that\ when\ we\ release\ the\ paranthesis,\ the\ sign\ outside\ the\\ the\ bracket\ multiplies\ with\ the\ sign\ inside\ of\ it.\\Hence,\\As\ -1*-1=1,\\82-(-14)\\=82+14\\=96\)

Answer:

96

Step-by-step explanation:

82 - (-14)

two substract signs = add sign

82 + 14

96