Which of the following are equal to the expression below? Check all that apply.


A.

B.

C.

D.
4

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Explanation:

The coefficients of each term are 3 and 5. They are the first things mentioned in each parenthesis grouping. The coefficients multiply to 3*5 = 15. This is the coefficient of the final answer.

The 'a' terms are a^2 and a^3. They multiply to a^2*a^3 = a^(2+3) = a^5. Add the exponents because we're using the rule a^b*a^c = a^(b+c). The base must be the same for this rule to apply.

The b terms are b^7 and b^8. They multiply to b^7*b^8 = b^(7+8) = b^15

--------

To summarize

This is how we end up with 15a^5b^15 as the final answer

Answer:

3

Step-by-step explanation:

23

Answer:

0.78

Step-by-step explanation:

if divide 10.14 by 13 it will be 0.78 hope this helps

The function  f(x)= 1/2x - 2 and g(x)= -2x -4 are not inverses of each other.

An inverse function can be described as the function that can undo another function, it is relationship between two function which is not directly proportional to each other.

An inverse function will follow the expression f^{-1},

Inverse of  1(/2x - 2 ) = (2x - 2 )

Inverse of  g(x)= (-2x -4) = 1/ (-2x -4)

This implies implies that Inverse of  g(x)  ≠  f(x)

Therefore, the  function of f(x)= 1/2x - 2 and g(x)= -2x -4 can not be regarded as inverse of each other.

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First write, rearrange data

Balance = $2,631

Depreciation = 2,399

Fuel = 2,108

A field of mathematics called linear equations is essential to computer graphics. It investigates matrices, linear transformations, and vectors. These subjects were covered in Subsection 2.3. 8 in a two-dimensional setting.

A continuous response variable is described by a linear model as a function of one or more predictor variables. They can assist you in analyzing experimental, monetary, and biological data or in understanding and predicting the behavior of complex systems. A statistical technique used to build a linear model is called linear regression.

Depending on the context, the phrase "linear model" is used differently in statistics. The word is frequently used interchangeably with a linear regression model since it occurs most frequently in relation to regression models. The phrase has a different connotation when employed in time series analysis, though.

By using a linear combination of predictor variables, linear models can be used to describe a response variable. A continuous variable with a response that is at the very least roughly regularly distributed is required.

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The statements that are true concerning two similar figures include:

The ratio of the corresponding angles equals 1.

The ratio of corresponding side lengths are equal. That is option A and C.

Ratio is defined as the number of time a proportion is doing in another proportion.

The similarity that exists between figures or shapes such as a triangle is being proven using Congruence & Similarity. That is,

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Answer:

4.259 is greater than 4.246 because its decimal places are higher values.

4.246 < 4.259

Hope that helps

to compare these two decimals we will have to compare the number in the hundredths and thousandths place becuase we already know the whole number and the tenths place number is the same. as you can see, 4.259 is greater becuase 5 tenths is greater than 4 tenths.

The value of f(2k+4) for k=1 and f(x)= 4-x is -2

What is the value of a function?

When the variables and constants in a mathematical expression are given values, the outcome of the computation it describes is the expression's value.

We are given a function f(x)= 4-x

We have to find f(2k+4).

[tex]f(2k+4)=4-2k-4[/tex]

Now substitute k=1

We get,

[tex]f(2+4)=4-2-4\\f(6)=-2[/tex]

Hence, The value of function f(2k+4) at k=1 for the function f(x)=4-x is -2

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Answer:

If a b and c d lie in plane, z, so my screen is a plane, so let's just think of that here's a b! Now I didn't say they were parallel. It just said a b and c d, so they lie in a plane.

Step-by-step explanation:

I just did this on edge

The friend has to save for 5 and 2/3 of a month to in order to make up the remaining 85 to get the 125 headphone.

An inequality that consists of two or more parts is called a compound inequality. Either "or" or "and" may be used in these components. A number between 5 and 10 could be used as x in an inequality, for instance, if it states that "x is larger than 5 and less than 10". Any time one of the two inequalities is true when the two inequalities are united by the word or, the compound inequality is solved. The two separate solutions have been combined to form the final answer. Inequalities that are separated by "and" or "or" form a compound inequality. The intersection of the inequality graphs is shown by the graph of a compound inequality with a "and."

Cost of the headphone 125.

What the friend have: 40.

What need to save: 125-40 = 85

Let x = amount to be saved per month

Months to save up the 85 is 15

The equation would be 15 x = 85

Therefore x = 85/15

Which is 5 2/3 months.

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The frequency of the heights are:

a = 15

b = 20

c = 40

d = 15

Histogram :

A histogram is a visual representation of statistical data that makes use of rectangles to illustrate the frequency of data points over a range of successive numerical intervals of equal width. The independent variable and dependent variable are plotted along the horizontal axis and the vertical axis, respectively, in the most typical type of histogram.

A common tool for graphing is the histogram. It is employed to summarise continuous or discrete data that is measured on an interval scale. It is frequently used to provide a convenient manner of illustration for the main characteristics of the data distribution.

Now Calculating the frequency by studying the given histogram.

By studying the given histogram, 1 division of the x-axis = 0.5

For height, [tex]0\leq h\leq 50[/tex], the histogram reaches up to 30 divisions which indicates that the frequency is 15.

For height,[tex]50\leq h\leq 75[/tex], the histogram reaches up to 40 divisions which indicate that the frequency is 20.

For height, [tex]75\leq h\leq 100[/tex], the histogram reaches up to 80 divisions which means the frequency is 40.

For height,[tex]100\leq h\leq 150[/tex], the histogram reaches up to 30 divisions which indicate that the frequency is 15

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Answer:

31 1/5 miles.

Answer:

0-->15

1--->13.75

2--->12.5

3--->11.25

Step-by-step explanation:

Answer:

Since Lines t and l are straight lines and are intersecting, Angle 1 and 4 are vertically opposite angles.

Angle 1 = Angle 4 (vertically opposite angles)

Angle 1 = 62 degrees

Therefore Angle 4 = 62 degrees

Step-by-step explanation:

Answer:y=3x+11

Step-by-step explanation:

Use the points to calculate the slope. You would use the equation [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] to get a slope of [tex]\frac{12}{4}[/tex]. That can be simplified to a slope of 3. Now find the y intercept. Now use the point (-1,8) to figure out what it would be when x=0. Everytime you add 1 to x it goes up by 3 so the point would be (0,11) and the y intercept would be 11.

Answer:

2.99  is the fixed monthly membership fee

Step-by-step explanation:

75 degrees

All triangle angles will always add up to 180 degrees, so if A is 64 and B is 40, add those for 105. 180 minus 105 is 75. Therefore, C is 75.

Answers:

1st page

Angle A=65 degrees

Angle B=40 degrees

Angle C = 75

65+40+x=180 degrees

105+x=180degrees

x=180-105

x=75 degrees

2nd page

Angle A=59 degrees

Angle B=48 degrees

Angle C=73 degrees

To find x

x+x-11+73=180 degrees

2x+62=180 degrees

2x=180-62

2x=118

(equate both sides)

x=59 degrees

3rd page

Angle A=35 degrees

Angle B=100 degrees

Angle C=45 degrees

To find x

x+35+45=180 degrees

80+x=180degrees

x=180-80

x=100 degrees

4th page

Angle A=45 degrees

Angle B=110 degrees

Angle C=25 degrees

To find X

x+x+65+25=180 degrees

2x+90=180

2x=180-90

2x=90

(equate both sides)

x=45 degrees

5th page

Angle A=48 degrees

Angle B= 88  degrees

Angle C= 44  degrees

To find X

48+x+x-44=180 degrees

4+2x=180 degrees

2x=180-4

2x=176

(equate both sides)

x= 88 degrees

Using the conversion factor, we know that 30 miles are approximately 48 km.

So, 30 miles is how many kilometers:

Then, 5 miles:

Similarly 30 miles:

Rounding off: 48 km approximately

Therefore, using the conversion factor, we know that 30 miles are approximately 48 km.

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Answer: 40 seconds

Step-by-step explanation:

This is basically a very simple algebra problem.

Let x be the number of seconds it takes for the statement to be true

120 + x/4 = 150 - x/2

Add x/2 to both sides:

120 + 3x/4 = 150

Subtract 120 from both sides:

3x/4 = 30

Therefore x = 40.

Solve similar problems with an equation, where the variable is the thing you need to find.

The population of the city till next year will be 101,808.

Given, a population of a city increases by 0.8% per year.

Presently the population of the city is = 101,000

Next year's population will be = ?

population increases by 0.8% per year = 1+0.8%

Hence the expression can be written as:

present population of city × population increases by 0.8% per year

= 101,000 × (1+0.8%)

= 101,000 × (1+0.008)

= 101,000 × (1.008)

multiply the terms.

=101808

Hence when the population of the city increases by 0.8% per year, then next year's population will be 101,808.

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Answer:

x=6

Step-by-step explanation:

1. Combine like terms

2. Add 9 to both sides

3. Divide by 4 on both sides

4. Arrive at solution

5. Plug solution in to equation.

Answer:

-3

Step-by-step explanation:

first you start with by adding 9 to both sides to balance

-2x+6x-9=15

          +9 +9

Giving you -2x+6x=24 now you start by dividing

I started by dividing -2

-2x+6x=24

÷(-2)      ÷(-2)

Giving you x+6x=(-12) again divide

x+6x=(-12)

 ÷6   ÷6

Giving you x+x=(-6) we know that x+x is = to 2x next we divide agian

2x=(-6)

÷2  ÷2

Giving you the answr x=(-3)

The image of the point (1,3) after a counterclockwise rotation of 270° is (3, -1).

Every point in a figure is transformed by a rotation, which rotates each point a predetermined amount of degrees around another point.

Given that : coordinate point is (1, 3)

When rotating a figure 270 degrees counterclockwise, each point must be changed from (x, y) to (y, -x) before the rotated figure may be graphed.

So, points (1,3) changed to (3, -1).

As a result, the image of the point (1,3) following a 270° counterclockwise revolution is (3, -1).

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The slope of the line containing the pair of points (5,-10) and (-3,-10) = m = 0.

Slope of a line

In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate. The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.

Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).

Given that the line containing the pair of points (5,-10) and (-3,-10).

Slope of a line = (y2 - y1)/ (x2 - x1)

Here

y1 = -10

x1 = 5

y2 = -10

x2 = -3

Therefore slope of a line = m = [-10 - (-10)]/ (-3 - 5)

                                                = 0/ (-8)

                                                = 0

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d=(x2−x1)2+(y2−y1)2

One pair of opposite sides are: KL and NM

KL=(4−−2)2+(6−3)2=45−−√=35–√

NM=(3−−3)2+(2−−1)2=45−−√=35–√

Using the substitution property KL=NM

The other pair is: KN and LM

KN=(−3−−2)2+(−1−3)2=17−−√

LM=(4−3)2+(6−2)2=17−−√

Using the substitution property KN=LM

Step-by-step explanation:

KN=(−3−−2)2+(−1−3)2=17−−√

LM=(4−3)2+(6−2)2=17−−√

The coordinate of B is option  C (0,-2). A spherical or elliptical coordinate system known as the geographic coordinate system is used to measure and transmit positions on Earth as latitude and longitude. Of the several spatial reference systems in use, it is the most basic, traditional, and often utilized. It also serves as the foundation for the majority of others.

Coordinates are numerical lengths or angles that uniquely identify locations on two-dimensional (2D) surfaces or in three-dimensional (3D) space. Mathematicses, scientists, and engineers frequently employ a variety of coordinate systems.

A coordinate system in geometry is a method for determining the location of points or other geometric objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.

the coordinates of B(-5,0)

the translation rule

(x,y)---------(x+5,y-2)

so

B(-5,0)-----B(-5+5,0-2)

(-5,0)--------(-5+5,0-2)----------(0,-2)

Hence, the correct answer is (0,-2)

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Using Simple Interest, Ali has to pay 10241 after 3 years.

Simple interest is the interest that is accrued at a specific rate and for a specific length of time on a particular principal. It is based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued. Consider making a $100 (the principal) investment at a 5% yearly rate for a year. To calculate simple interest, multiply $100 by.05 interest per year to get $5 after a year.

If P is the principal, r is the rate, t is the time

SI = [tex]\frac{P \times r \times t}{100}[/tex]

Here,

Cost of sound system = 7700

Rate  = 11 %

Time = 3years

SI = [tex]\frac{7700 \times 11 \times 3}{100}[/tex]

  = 2541

Amount Ali has to pay after 3 year = 7700 + 2541

                                                        = 10241

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