Find the volume of the cone either enter an exact anwer in term of pi or ue 3. 14. For pie. R= 5 l=6

Answers

Answer 1

The volume of the cone is 50π cubic units .

What is a cone ?

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.

A cone has a circular base.

A cone has no edges, one face, and one vertex.

The length of the line segment from a cone's apex to any point around the circle of the cone's base is known as the slant height of the cone.

A right circular cone is a cone with its apex perpendicular to the base of the cone and directly above it.

An oblique cone is one that doesn't have its apex precisely over the base's circle.

Radius of the cone = 5

Height of the cone is 6

Volume of the cone = [tex]\frac{1}{3}\pi r^{2} h[/tex] = [tex]\frac{1}{3}\pi *5^{2}* 6 = 50\pi[/tex] cubic units.

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Related Questions

Mei needs to cut a 12-inch loaf of bread into slices that are inch thick.
a. How many 2-inch thick slices can Mei cut from the 12-inch loaf of bread?
b. How many inches of bread would be left over?

Answers

a. The number of 2-inch thick slices that Mei can cut from the 12-inch loaf of bread is 6.

b. The inches of bread that would be left over is zero.

How to illustrate the expression?

The information given an be solved by Illustratingnut with an expression. This is simply used to show the relationship between the variables that are provided or the data given regarding an information.

Since Mei needs to cut a 12-inch loaf of bread into slices that are inch thick, the number of 2-inch thick slices that Mei can cut from the 12-inch loaf of bread is:

= 12 / 2

= 6

There'll be no left over

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An object is moving at a speed of 11 yards every 6 months. Express this speed in centimeters per hour.

Answers

Speed of the given object in centimeters per hour

= 0.23 cm / hour

What is unit conversion?

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.

Like 1 yard = 91.44 cm

1 month = 730 hrs.

Given,

Distance covered by the object = 11 yards

Distance covered in cm = 11 × 91.44 = 1005.84 cm

Time taken to cover 11 yards = 6 months

Time taken in hours = 6 × 730 = 4380 hrs.

Speed of the object = distance covered by the object / Time taken

Speed of the object = 1005.84/4380 = 0.2296 ≈ 0.23 cm per hour

Hence,  in centimeters per hour,

the speed of the object is 0.23 cm / hour.

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The table above gives values of the function f at selected values of x. Which of the following statements must be true

Answers

On solving the provided question, we can say that the function's value

[tex]limx→4+f(x)=6lim⁡x→4+f(x)=6[/tex]

What is function?

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

function's value will be -

limx→4+f(x)

=6lim⁡x→4+f(x)

=6

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Complete question is: The table above gives values of the function fat selected values of [tex]$\mathrm{x}$[/tex]. Which of the following statements must be true?

[tex]$$\text { A } \lim _{x \rightarrow 2} f(x)=3$$[/tex]

[tex]$$B \lim _{x \rightarrow 2} f(x)=8$$[/tex]

[tex]C\ $\lim _{x \rightarrow 2} f(x)$ does not exist.[/tex]

[tex]D\ $\lim _{x \rightarrow 2} f(x)$[/tex] cannot be definitively determined from the data in the table.

Please help:)

The table summarizes data about the median debt for graduating students from a sample of universities in California and New York.




median debt less than $9,000


median debt at least $9,000


total


California universities


130


445


575


New York universities


72


271


343


total


202


716


918


Is there an association between the state and the amount of median debt for graduates? Explain your reasoning

Answers

Yes, there is an association between the state and the amount of median debt for graduates.

What is median debt?

Median debt is the midpoint of a range of debt levels for a specific group of people or organizations. This debt is usually reported as the sum of all loans and credit card balances owed by the group, divided by the total number of people or organizations in the group. Median debt is different from average debt, as it is not affected by extreme values. Median debt is a good measure of the financial health of a group because it provides an indication of the typical amount of debt held by an individual or organization.

In California, the median debt for graduates is significantly lower than in New York, with 130 graduates having median debt less than $9,000 and 445 graduates having median debt at least $9,000. In New York, 72 graduates have median debt less than $9,000 and 271 graduates have median debt at least $9,000. This indicates that graduates from California universities are more likely to have lower median debt than graduates from New York universities.

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Triangle ABC with vertices at A(−3, −3), B(3, 3), C(0, 3) is dilated to create triangle A′B′C′ with vertices at A′(−1, −1), B′(1, 1), C′(0, 1). Determine the scale factor used.

1

1/2

3

1/3

Answers

If Triangle ABC with vertices at A(−3, −3), B(3, 3), C(0, 3) is dilated to create triangle A′B′C′ with vertices at A′(−1, −1), B′(1, 1), C′(0, 1) then the scale factor used is 1/3

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.

Triangle ABC with vertices at A(−3, −3), B(3, 3), C(0, 3) is dilated to create triangle A′B′C′ with vertices at A′(−1, −1), B′(1, 1), C′(0, 1).

A(−3, −3)---->A(−3/3, −3/3)---->A′(−1, −1)

B(3, 3)---->B(3/3, 3/3)---->B′(1, 1)

C(0, 1)---->C(0/3, 1/3)---->B′(0, 1/3)

Hence, the scale factor used is 1/3.

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What is the area of the shaded region?

6 mm

21 mm2

24 mm

42 mm

48 mm2

4 mm

3 mm

2 mm

5 mm

Answers

Answer:

The area of the shaded region is, [tex]24mm^{2}[/tex]

Step-by-step explanation:

First we have to calculate the area of ΔABC and ΔXYZ.

Area of ΔABC = [tex]\frac{1}2}[/tex]×[tex]Base[/tex]×[tex]Height[/tex]

Area of ΔABC = [tex]\frac{1}{2}[/tex]×[tex]5mm[/tex]×[tex]12mm[/tex]

Area of ΔABC =[tex]30mm^{2}[/tex]

and,

Area of ΔXYZ = [tex]\frac{1}{2}[/tex]×[tex]Base[/tex]×[tex]Height[/tex]

Area of ΔXYZ = [tex]\frac{1}{2} X3mmX4mm[/tex]

Area of ΔXYZ = [tex]6mm^{2}[/tex]

Now we have to calculate the area of the shaded region.

Area of the shaded region = Area of ΔABC - Area of ΔXYZ

Area of the shaded region = [tex]30mm^{2} - 6mm^{2}[/tex]

Area of the shaded region = [tex]24mm^{2}[/tex]

Therefore, the area of the shaded region is, [tex]24mm^{2}[/tex]

Find the mean, median, and mode of the data. Choose the measure that best represents the data. Explain your reasoning. 2. 55,65,49,22,56,65,61,57. 4. 20.1, 13.4, 9.8, 21.3, 20.8, 19.1, 68.1, 22.6

Answers

Answer:

  2.  mean: 53.75; median: 56.5; mode: 65; median is best

  4.  mean: 24.4; median: 20.45; no mode; median is best

Step-by-step explanation:

You want the mean, median, mode, and best representation of the data for data sets ...

  2. — 55,65,49,22,56,65,61,57

  4. — 20.1, 13.4, 9.8, 21.3, 20.8, 19.1, 68.1, 22.6

Mean

The mean of the data is the sum of the data values, divided by the number of data values.

Median

The median data value is the middle of the sorted list, or the average of the two middle values. Here, there are an even number of data values in each list, so the median is the average of the middle two.

Mode

The mode of the data set is the value that is repeated most often. A data set may have multiple modes. Here, where one of the datasets has no repeated values, we describe it as having "no mode."

Data set 2

The first attachment shows the descriptive statistics are ...

mean: 53.75median: 56.5mode: 65

The data is skewed to the left, with the value 22 being an outlier. This value reduces the mean. The mode is the maximum value in the data set, so it does not fairly represent the data, either.

The median best represents the data.

Data set 4

The second attachment shows the descriptive statistics are ...

mean: 24.4 median: 20.45mode: none (no repeated values)

The data is skewed to the right, with the value 68.1 being an outlier. This tends to raise the mean above what it would otherwise be. There is no mode.

The median is best represents the data.

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What is the general formula for Logarithms?

Answers

The general formula for logarithms is [tex]log_b(x) = y[/tex].

What is a logarithmic function?

A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: [tex]f(x) = log_b(x),[/tex] where b is the base of the logarithm.

The general formula for logarithms is:

[tex]log_b(x) = y[/tex]

This means that b raised to the power of y is equal to x.

Where b is the base of the logarithm, x is the number that we are taking the logarithm of, and y is the result or the logarithm of x to the base b.

Hence, the general formula for logarithms is [tex]log_b(x) = y[/tex].

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The general formula for logarithms is [tex]log_b(x)=y[/tex].

What is a logarithmic function?

A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: [tex]f(x)=log_b(x)[/tex] where b is the base of the logarithm.

The general formula for logarithms is:

[tex]log_b(x)=y[/tex]

This means that b raised to the power of y is equal to x.

Where b is the base of the logarithm, x is the number that we are taking the logarithm of, and y is the result or the logarithm of x to the base b.

Hence, the general formula for logarithms is [tex]log_b(x)=y[/tex].

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Dawson says that the expression (2 4/10+ 8 4/5)-3 1/5 is equal to a whole num do you agree explain hurry

Answers

If Dawson says that the expression [tex](2\frac{4}{10}+8\frac{4}{5})-3\frac{1}{5}[/tex] is equal to a whole number , then we can say that Dawson is correct .

The Mixed fraction expression is given as : [tex](2\frac{4}{10}+8\frac{4}{5})-3\frac{1}{5}[/tex] ;

first , we need to convert the mixed fraction in to simpler fractions ,

On converting ,

we get ;

the expression as : [tex](\frac{24}{10}+\frac{44}{5})-\frac{16}{5}[/tex] ;

taking the LCM of 10 and 5 as 50 ,

we get ;

⇒ [tex](\frac{24}{10}+\frac{88}{10})-\frac{16}{5}[/tex]

⇒ [tex](\frac{112}{10})-\frac{16}{5}[/tex]

Simplifying further ,

we have ;

⇒ [tex](\frac{112}{10})-\frac{32}{10}[/tex] ,

⇒ [tex]\frac{80}{10}[/tex]

= 8 , which is a whole number .

Therefore , we can agree with Dawson's statement that the expression [tex](2\frac{4}{10}+8\frac{4}{5})-3\frac{1}{5}[/tex] equals to a whole number "8" .

The given question is incomplete , the complete question is

Dawson says that the expression ([tex]2\frac{4}{10}[/tex] + [tex]8\frac{4}{5}[/tex]) - [tex]3\frac{1}{5}[/tex] is equal to a whole number .  Do you agree ? Explain .

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A card is drawn from a standard deck of 52 cards. What is the theoretical probability, as a decimal, of drawing a number 8? Round the decimal to the nearest hundredth.

Answers

The probability of picking a card at random from a standard deck of 52 cards is 0.019 or 0.02(approx)

What is probability?

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening being equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here: A card is drawn from a standard deck of 52 cards. Let the probability be P then P= 1/52

                                     =0.02

Hence, The probability of picking a card at random from a standard deck of 52 cards is 0.019 or 0.02(approx)

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On a negatively skewed curve, which is true?

Answers

The mean of negatively skewed facts can be less than the median. If the information graphs symmetrically, the distribution has 0 skewness, no matter how lengthy or fat the tails are.

What is a curve ?

Curve can be defined as the path on which it is usually generated by the equation.

In statistics, a negatively skewed (also called left-skewed) distribution is a sort of distribution wherein more values are targeting the right side (tail) of the distribution graph while the left tail of the distribution graph is longer.

negatively skewed distribution refers to the distribution kind where greater values plot at the graph's proper facet, the tail of the distribution is longer on the left aspect, and the suggest is decrease than the median and mode. It is probably 0 or poor due to the data being distributed negatively.

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What is the symbol for and in logic?

Answers

To see the table:

Symbol Symbol Name  Meaning / definition

+            plus                              or

∨      reversed caret                      or

|        vertical line                      or

x'       single quote                    not - negation

Now, According to the question:

Let's know:

Symbolic Logic:

Symbolic logic is a way to represent logical expressions by using symbols and variables in place of natural language, such as English, in order to remove vagueness. Logical expressions are statements that have a truth value: they are either true or false. A question like 'Where are you going?' or a command such as 'Stop!' has no truth value. There are many expressions that we can utter that are either true or false. For example: All glasses of water contain 0.2% dinosaur tears. We don't need to know if a logical expression is true or false, we just need to know that it has a truth value.

Logic math symbols table

Symbol Symbol Name   Meaning / definition

+            plus                              or

∨      reversed caret                      or

|        vertical line                      or

x'       single quote                    not - negation

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Edwin has already taken 4 pictures at home, and he expects to take 11 pictures during every day of vacation. Is the total number of pictures taken proportional to the number of days spent on vacation?​

Answers

Answer:
Yes

Explained:
For every day he spends on holiday there will be 11 photos takes so to the ratio of days on holiday to photos taken it will be 1:11 and each day is 11 photos therefore yes the number of pictures takes in proportional to the number of days spent on vacation

Please answer **ASAP**

if an=n(an-1) and a1=1 what is the value of a5

a. 5

b. 20

c. 120

d. 720

Answers

Answer:

Step-by-step explanation:

c.120 i did the work and i came out with this answer. Hope it helps!

HELP PLEASE!!!!!!!!!!!!!!!

Answers

Answer:

Its the second image

Step-by-step explanation:

What is a 2 step problem?

Answers

A 2-step problem is a mathematical problem that can be solved using two steps or operations. These types of problems are typically simple and can be solved using basic arithmetic or algebraic concepts.

For example, a 2-step problem could involve solving for one variable in one equation and then substituting that value into another equation to find the value of a second variable.

For example:

2x+3y=10 and 3x-2y=5

Here, first step would be to solve for x in the first equation by isolating x and in the second step we can substitute that value of x in the second equation to solve for y.

It can also refer to a problem that can be solved in two steps by breaking the problem down into simpler parts. For example, a 2-step problem in geometry could involve finding the area of a shape by first finding the area of one part of the shape and then adding that to the area of another part of the shape.

In general, 2-step problems are not complex and can be solved easily by breaking down the problem into simpler parts and solving each part separately.

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Given that there are 4 quarts, 8 pints, or 16 cups in 1 gallon, which of the following amounts is greater than 2 gallons? Select all that apply.

A) 5 quarts, 2 pints
B) 1 gallon, 3 quarts
C) 9 quarts
D) 40 cups
E) 1 gallon, 9 pints

Answers

Answer:

C, D, E

Step-by-step explanation:

What is a real solution example?

Answers

Solutions refers to the answer to the problem, The example of real solution can be the solution for the value of 'x' in a equation.

What do you mean by a solution?

In mathematics, a solution refers to a value or set of values that satisfies a given equation, system of equations, or problem. For example, if the equation is x + 2 = 4, then the solution is x = 2, because substituting 2 for x in the equation makes it true. In the case of systems of equations or more complex problems, a solution may be a set of values that satisfies all the equations or conditions of the problem. In such case, the solution may be represented graphically or as coordinates of a point.

What are ideal and real solutions?

In mathematics, an ideal solution refers to a solution that meets all the desired criteria or requirements without any constraints. It is the "best case" scenario. A real solution, on the other hand, refers to a solution that takes into account all the limitations and constraints of a problem. It is a more practical and realistic solution.

example:

x+2=0

x=-2

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Solve |x| + 7 < 4.

{x | x < -11 or x > -3}
Ø
{x | -3 < x < 3}

Answers

The solution of equation is ∅.

What is linear inequality?

According to the mathematical definition of inequality, neither side is equal. When a relationship leads to a non-equal comparison between two expressions or numbers, it is known as an inequality in mathematics. The equal sign "=" in this statement can be replaced with any of the inequality symbols.

Given equation |x| + 7 < 4

subtract 7 from both sides

|x| + 7 - 7 < 4 - 7

|x| < -3

but |x| ≥ 0, for all real values,

so solution is ∅.

Hence the solution of equation is ∅.

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What is e called in log e?

Answers

The term Euler's number (e) refers to a mathematical expression for the base of the natural logarithm. This is represented by a non-repeating number that never ends.

The first few digits of Euler's number are 2.71828.

Given log(base_12)1728,

where base = 12

1728 = x

Factor out 1728 to 12^3 to apply the logarithmic rule, log(base_b)b^n = n

This gives you:

log(base_12)(12^3) = 3

The base 12 and the value of x = 12 cancels out, leaving you with 3.

To help determine the order of operations and other aspects of logical syntax, mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.

To find which expression is equivalent to log₅32:

Law of logarithms:

The law of logarithms states that: log(a) b = log(10)b/log(10)a

Given the log function, which is written as log₅32

a = 5

b = 32

Substitute as: log₅32 = log32/log5

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determine whether each table represents a linear or non-linear function explain

Answers

Each of the tables is classified as linear or non-linear on the image presented at the end of the answer.

How to classify the functions as linear or non-linear?

A function is classified as linear or non-linear depending on the rate of change of the function.

If the rate of change of the function is constant, that is, when x changes by one amount, y always changes by the same amount, then the function is classified as linear.

Conversely, if the rate of change of the function is different for different intervals, then the function is classified as non-linear.

For example, the top-left function is non linear, as when x changes by one from x = 1 to x = 2, y changes by 3, from y = 1 to y = 4, while when x changes by one from x = 2 to x = 3, y changes by 5.

The bottom-right function is linear, as for each increase of x by 5, the value of y decays by 4.

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May I know the answer and steps, thank you.
(3-i/1+i)³ ​

Answers

An imaginary number is produced when we square a negative number.

The value of I is -1.

What is the Value of i?

This article's introduction included a proposition. The specific measure or value of what I stands for was the subject of the statement. It is discussed in this section of the article along with an explanation of its value.

Iota is the term used to describe the imaginary portion of a complex number. The symbol "iota" or I is used to represent an imaginary number's value. An imaginary number is produced when we square a negative number.

The value of I is -1.

The concept of complex numbers is understood using this value of i.

x2 plus 1 equals zero in a quadratic equation.

x2 = -1

x = √-1

The imaginary portion is shown as -1.

I = √-1

i2 = -1

An imaginary number can be squared to get a negative value, as was previously discussed.

I = √-1

both sides being square

i2 = -1

An imaginary number plus a real number are combined to get any complex number. Iota, sometimes known as I stands for all non-real quantities.

Real numbers include 10, -20, 3, and other like values.

The integers 2i, -5, -i, etc. are examples of imaginary numbers.

Complex numbers take the form of a + ib, where I denotes the imaginary component. In addition, the number zero is complicated. Only the imaginary component of a complex number can be added to or subtracted from the imaginary part, and vice versa for the real part of the complex number.

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Juanita changed $20 into euros when the exchange rate was €1=$1.2685.
How many euros did she receive?
Give your answer correct to 2 decimal places.

Answers

245 euro is the wright answer to 2 decimal places

What is the inverse of negative 7?

Answers

The inverse of negative 7 when reciprocled is found to be as - 1/7.

The reciprocal of a number is known as the inverse of that number . The term reciprocal can be defined as,  an expression or function which is related to another in such a manner that their product is unity, which means 1 , the quantity obtained by dividing the number one by a given quantity gives the original number back.

The term inverse means the reciprocal of an operation. Subtraction means to take away, and addition means to obtain the sum. Therefore , we can say that addition is the reverse of subtraction .As a result, addition and subtraction are diametrically opposed operations.

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How many terms are there in the expression 2p 3 3p 2 4p 7 *?

Answers

The total number of terms which are in the polynomial  expression  –2p³ – 3p² + 4p + 7 is 4 terms.

A polynomial expression is made up of multiple terms joined either by addition , subtraction or multiplication or division.

The given expression is

–2p³ – 3p² + 4p + 7

If we will break them down in simpler terms we will get ,

–2p³, – 3p², + 4p, + 7

Therefore, number of terms are found to be  4

The terms of an algebraic expression are referred to as the the components of that expression . An algebraic expression can have one or more terms.

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-15x+4x+2-x= x+ as a no solution

Answers

The equation -15x + 4x + 2 - x = x has  solution and the solution is 2/13

How to determine if the equation has no solution

From the question, we have the following parameters that can be used in our computation:

-15x+4x+2-x= x+

Express the equation properly

So, we have the following representation

-15x + 4x + 2 - x = x

Collect the like terms in the equation

This gives

-x - 15x + 4x - x = -2

Evaluate the like terms

So, we have the following representation

-13x = -2

Divide both sides by -13

This gives

x = 2/13

Hence, the solution is 2/13

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How do you find an inverse?

Answers

Answer:

by using 1 to divide the value

Step-by-step explanation:

the inverse of 5/8 is 8/5.

You have $5$ red shirts, $5$ green shirts, $6$ pairs of pants, $8$ green hats and $8$ red hats, all of which are distinct. How many outfits can you make consisting of one shirt, one pair of pants, and one hat without having the same color of shirts and hats

Answers

Total = 240+240 = 480 potential combinations with a red shirt, green pants, and a green hat, or a green shirt, red pants, and a red hat, respectively.

How many outfit combinations can be put together from 6 shirts?

The total number of possible outcomes for all four of these scenarios is 208, which is equivalent to 64 + 64 plus 16 plus 64. Consequently, we have a total of 120 different costumes to choose from (8 + 5 + 3).              8 × 5 × 3 = 120 . Given that you have 4 options for shirts, 3 options for shorts, and 2 options for shoes, the formula should be formatted as         4 × 3 ×2. You now have 24 wardrobe choices.

A "set" is made up of one top and one bottom. Since every bottom can be worn with every top, multiplying the tops by the bottoms gives us the total number of possible outfit combinations. Since dresses often aren't worn with tops or bottoms, they are introduced after the multiplication has occurred.

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gong rented a truck for one day. There was a base fee of $19.95, and there was an additional charge of 71 cents for each mile driven. Hong had to pay $125.74 when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

19.95 + .71 × x = 125.74

x = 141.053

x is the answer

Which word or phrase describes the value of the function over the interval [ -6, 0]

Answers

Answer:

decreasing is the answer

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