Find the volume of the cylinder. Use 3.14 for pi. *
5
13

Answer:

$233.28

Step-by-step explanation:

8% = .08

480 x 1.08

518.4

45% = .45

518.4 x .45 = $233.28

The 5th term in this arithmetic sequence is 14.In an arithmetic sequence, each term is obtained by adding a constant value,

called the common difference, to the previous term. The formula to find the nth term (an) of an arithmetic sequence is:

an = a + (n - 1) * d

where:

an is the nth term,

a is the first term,

n is the position of the term we want to find,

d is the common difference.

To find the indicated term, we need to know the values of the first term (a), the position of the term (n), and the common difference (d).

For example, let's say we have an arithmetic sequence with a first term (a) of 2 and a common difference (d) of 3. We want to find the 5th term (n = 5) in this sequence.

Using the formula, we can substitute the given values into the equation:

a = 2

n = 5

d = 3

an = 2 + (5 - 1) * 3

  = 2 + 4 * 3

  = 2 + 12

  = 14

Therefore, the 5th term in this arithmetic sequence is 14.

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75 employees were absent for six or more days.

To determine how many employees were absent for six or more days, we need to refer to the given frequency distribution of days absent:

- 0 up to 3 days: 2 employees

- 3 up to 6 days: 25 employees

- 6 up to 9 days: 14 employees

- 9 up to 12 days: 19 employees

- 12 up to 15 days: 42 employees

To find the number of employees absent for six or more days, we need to add the number of employees in the last three categories:

14 (6 up to 9 days) + 19 (9 up to 12 days) + 42 (12 up to 15 days) = 75 employees

Therefore, 75 employees were absent for six or more days.

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Answer:

Rearrange Inequalities

0<= A <=40

0<= B <= 40

A <= -B + 40

A <= -2B + 50

Acres:: A + B <= 40

Seed:: 10A + 20B <= 500

Profit function:: P = 110A + 40B

Step-by-step explanation:

Answer:

the farmer should plant 40 acres of crop B.

Step-by-step explanation:

The restriction equations are:

x + y = 40 acres (1) (for areas; x = the area for crop A; y = the area for crop B).

10x + 20y = 700 (2) for the seed cost

or

x + 2y = 70

We have the following system of equations:

x + y = 40  

x + 2y = 70  

The additional obvious restrictions are x >= 0 and y >= 0.

The objective function is the profit:

F(x, y) = 60x + 70y

According to the conception/ideology of the linear programming method, we need to evaluate the  

objective function F(x, y) = 60x + 70y in three points (corner points):

(0, 40), (35, 0) and (10, 30)

We need to find the point where the objective function is maximal:

F(0, 40) = 60*0 + 70*40 = $2,800

F(35, 0) = 60*35 + 70*0 = $2,100

F(10, 30) = 60*10 + 70*30 = $2,700

Follows, the farmer should plant 40 acres of crop B.

Answer:

1. 43/2

2. 371/50

3. 31/8

Your needs are essential expenses such as rent, utilities, groceries, and transportation.

These should be prioritized in your budget as they are necessary for your survival. On the other hand, your wants are non-essential expenses such as eating out, entertainment, and shopping. While it is important to treat yourself, it is also important to allocate a reasonable amount of money towards your wants. Needs and wants play a crucial role in creating a budget. A budget helps allocate financial resources according to one's priorities. Needs are essential items required for daily living, such as housing, food, and utilities. Wants are desires or non-essential items, like vacations or entertainment. While creating a budget, it's important to prioritize needs over wants to ensure financial stability. Understanding the difference between the two and allocating funds accordingly helps in maintaining a balanced lifestyle, promoting healthy spending habits, and achieving long-term financial goals. A well-structured budget ensures that you can fulfill both your needs and some wants within the allotted resources.

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Needs and wants play a vital role in creating a budget by helping you prioritize your spending, make trade-offs, and allocate your financial resources effectively. By considering both your essential expenses and desired extras, you can create a balanced budget that reflects your financial goals and values.

When creating a budget, your needs and wants play a crucial role in determining how you allocate your financial resources. Here's how they factor in:

Identifying Needs: Your needs are the essential expenses required for your basic well-being and survival. These typically include housing, utilities, food, transportation, healthcare, insurance, debt repayments, and other necessary expenses. Understanding your needs helps you prioritize allocating funds to cover these essential costs first. Ensuring your needs are met is the foundation of any budget.

Prioritizing Wants: Wants, on the other hand, are things you desire or would like to have but are not essential for your survival or basic well-being. This category includes discretionary expenses such as entertainment, dining out, travel, hobbies, luxury items, and other non-essential purchases. While wants are not as critical as needs, they contribute to your overall quality of life. Allocating a portion of your budget for wants allows you to enjoy these extras within your financial means.

Trade-offs and Decision Making: Budgeting requires making decisions about how to allocate limited resources. By considering your needs and wants, you can evaluate trade-offs between various expenses. If your needs are not being fully met within your current budget, you may need to reduce or eliminate some wants temporarily to ensure your essential expenses are covered. On the other hand, if your needs are comfortably met, you have more flexibility to allocate funds toward wants or savings.

Flexibility and Adjustments: Needs and wants can evolve over time. When creating a budget, it's important to regularly reassess and adjust it to align with your changing circumstances and priorities. For instance, if your income increases, you might have more room to allocate additional funds toward wants or savings. Similarly, if your needs change, such as due to a job loss or a new family member, you may need to make adjustments to ensure your budget remains sustainable.

In summary, needs and wants play a vital role in creating a budget by helping you prioritize your spending, make trade-offs, and allocate your financial resources effectively. By considering both your essential expenses and desired extras, you can create a balanced budget that reflects your financial goals and values.

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it's is A= pi x r x 2^

diameter is 17 divide by two is the radius

3.14 x 8.5 x 8.5 is 226.865

The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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Answer:

Now, the formulas for other trigonometry ratios are: Cot θ = 1/tan θ = Adjacent side/ Side opposite = AB/BC. Sec θ = 1/Cos θ = Hypotenuse / Adjacent side = AC / AB. Cosec θ = 1/Sin θ = Hypotenuse / Side opposite = AC /BC

Answer:

seventy-two equals two minus four times

Step-by-step explanation:

Answer:

72x+4y=2

Step-by-step explanation:

In the given scenario, the value "1672" represents the number of car owners in a country.

A parameter is a characteristic or measure that describes a population, while a statistic is a characteristic or measure that describes a sample.

Since the study was conducted on all 1672 car owners in the country, the value "1672" represents the entire population and is therefore a parameter. It describes the total number of car owners in the country as a whole.

In summary, the value "1672" is a parameter in this context, as it represents a characteristic of the entire population of car owners in the country.

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Answer:

x = 7

Step-by-step explanation:

3x - 9 = 12

3x = 12 + 9

3x = 21

x = 21 ÷ 3

x = 7

The mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.

The most appropriate measure of center to represent the data in the given line plot is the mode.

The mode is the value or values that occur most frequently in a dataset. In this case, we can observe the frequencies of the data points on the line plot:

There is one dot above 2, 4, 8, and 9.

There are two dots above 6 and 7.

There are three dots above 3.

Based on this information, the mode(s) of the dataset would be the values that have the highest frequency. In this case, the mode is 3 because it appears most frequently with a frequency of three. The other data points have frequencies of one or two.

The mode is particularly appropriate in this scenario because it represents the most common or frequently occurring value(s) in the dataset. It is useful for identifying the central tendency when the data is discrete and there are distinct peaks or clusters.

While the median and mean are also measures of center, they may not be the most appropriate in this case. The median represents the middle value and is useful when the data is ordered. However, the given line plot does not provide an ordered arrangement of the data points. The mean, on the other hand, can be affected by outliers and extreme values, which may not accurately represent the central tendency of the dataset in this scenario.

Therefore, the mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.

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Answer:

x = 11

Step-by-step explanation:

We know that vertical angles (opposite angles when two lines cross), are equal.

2x - 6 = 6x - 50

4x = 44

x = 11

Answer:

-9

Step-by-step explanation:

bc+5a if a=3 b=4 c=-6

4(-6)+5(3)

-24+15

-9

Answer:

3

Step-by-step explanation:

5-2=3

Just do it the other way to find the answer!

I hope this helps!

Answer: x = 3

Step-by-step explanation:

we subtract 2 from both sides, in order to get the variable by itself.

x + 2 (- 2) = 5 (- 2)

x = 3

The arc length by the given data is 4π cm.

We are given that;

AC≅AD,  ∠C =∠D = 30°

Now,

The arc length formula is:

s = rθ

where s is the arc length, r is the radius, and θ is the central angle in radians.

To use this formula, we need to convert the angle of 120° to radians. We can use the fact that 180° = π radians, so:

120° × π/180° = 2π/3 radians

Then we can plug in the values of r = 6 cm and θ = 2π/3 radians into the formula:

s = 6 × 2π/3 s = 4π cm

Therefore, by the given angle the answer will be 4π cm.

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Answer:

1.668x10^13

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

Answer:

Slope: -2/1

Y-intercept: (0,0)

Step-by-step explanation:

The equation for slope is:

\(Slope = \frac{y_2-y_1}{x_2-x_1}\)

We can plug in any x, y pairs from the table into the equation. For this, let's use (-5, 10) and (-3, 6)

\(Slope = \frac{6-10}{-3-(-5)}=\frac{-4}{-3+5}=\frac{-4}{2}=\frac{-2}{1}\)

The equation for a line is...

y=mx+b

m: slope

b: y-intercept

We can plug in a x, y pair and the slope into the equation to solve for the y-intercept:

y=mx+b

10=(-2)(-5)+b

10=10+b

b=0

Therefore the y-intercept is (0,0)

The estimated percentile for a student who scores 680 on critical reading is 94%.

It is given that the scores on the critical reading portion of the SAT exam are normally distributed with mean (µ) = 495 and standard deviation (σ) = 116.

We are supposed to find the estimated percentile for a student who scores 680 on critical reading. To solve this problem, we can use the Z-score formula as follows:

Z = (X - µ) / σWhere X is the raw score (680 in this case).

Z = (680 - 495) / 116Z = 1.59

Using a standard normal distribution table, we can find the estimated percentile associated with a Z-score of 1.59. This value can be found to be approximately 94%.

Therefore, the estimated percentile for a student who scores 680 on critical reading is 94%.

:The estimated percentile for a student who scores 680 on critical reading is 94%.

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The possible combination is 1365.

The correct option is (B)

Combinations are also called selections. Combinations correspond to the selection of things from a given set of things. Here we do not intend to arrange things. We intend to select them. We denote the number of unique r-selections or combinations

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by

nCr = n!/ r!( n- r)!

Given:

Players, n = 15

Selected, r = 11

So,

15 C_11

= 15!/ 11 ! 4 !

= 15*14*13*12 / 4*3*2

= 1365

Hence, the possible combination is 1365.

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Answer: Choose A my smart self just knew

Answer:

Yes they are equivalent expressions

Step-by-step explanation:

Answer:

(-3, -1) (-2, 3)

(-2, 3) (-2, 3)

Step-by-step explanation:

Answer:

I think this is your answer _. 4 ×( _ 2°3)

Answer:

\(y=x+3\)

Step-by-step explanation:

Using Point-Slope form: Y-y1=m(X-x1)

Slope(m) = 1, Point(x1,y1) = (-2,1)

y-1=1(x+2)

y=x+2+1

y=x+3

:]

(ps. Brainliest would be greatly appreciated lol)

Step-by-step explanation:

1.given gradient (slope) make formula of straight line

\(y = 1x + c\)

2.substitute in y and x values in order to work out c

\(1 = 1( - 2) + c\)

\(c = 3\)

3. equation of line is

\(y = 1x + 3\)

Answer:

I think Tony would be right, I THINK!!

Step-by-step explanation:

5x+4=8+5x

solution

5x-5x=8-4

x=4

I hope this will help you

thank you ❤️