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First write, rearrange data

Balance = $2,631

Depreciation = 2,399

Fuel = 2,108

Answer: B

Step-by-step explanation: B is larger by about 9.42 in

Answer:

3

Step-by-step explanation:

23

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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The equation that represents the graphed line is y = -3x + 2. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The kine is passing through (0, 2) and (1, -1). Then the slope of the line is given as,

m = (2 + 1) / (0 - 1)

m = -3

And the y-intercept of the line is 2. Then the equation of the line is given as,

y = -3x + 2

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The complete question is attached below.

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:

See below

Step-by-step explanation:

Supplementary angles sum to 180 degrees

x  = angle 1

(x+32.6 ) = angle two

x +    (x+32.6)  =180

2x = 180-32.6

x = 73.7       angle 2 = 106.3°

The terms of the polynomial, which has a degree of 2, are ordered as follows in decreasing order: 17x² + 27x

Sums of terms of the form  k⋅xⁿ where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5.

Given polynomial: 5x + 17x² + 22x

We need to simplify this polynomial first.

5x + 17x² + 22x = 27x + 17x²

Now we will put the term with highest degree first and arrange the terms of this polynomial.

17x² + 27x

Since, the highest power of terms in this polynomial is 2.

We can say that the degree of polynomial is 2.

Therefore, the polynomial has a degree of 2 and its terms are arranged in decreasing order as follows: 17x² + 27x.

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Answer:

0-->15

1--->13.75

2--->12.5

3--->11.25

Step-by-step explanation:

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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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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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 result of the expression 2x+9+7x is 9x+9

The expression is 2x+9+7x

To solve this expression, first we have to rearrange the terms and do the arithmetic operations in the expression.

Expressions is the mathematical statements that have a minimum of two terms containing numbers or variables, connected by an operator in between. The operator maybe addition, subtraction, division or multiplication. To  solve the mathematical expression we have to do the arithmetic operation on like terms.

The expression is 2x+9+7x

Rearrange the terms in the expression

= 2x+7x+9

Add the like terms in the expression

= (2+7)x+9

= 9x+9

Hence, the result of the expression 2x+9+7x is 9x+9

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Using the t-distribution, it is found that:

a. The margin of error is of $122.4.

b. The 95% confidence interval for the population mean amount spent on restaurants and carryout food is of ($1,750.6, $1,995.4).

c. The estimate is the sample mean of $1,873.

The bounds of the confidence interval are given according to the following rule:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which the parameters are described as follows:

In the context of this problem, the values of these parameters are given by:

[tex]\overline{x} = 1873, s = 550, n = 80[/tex]

Hence, for item c, the estimate is of $1,873, as it is the sample mean.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 80 - 1 = 79 df, is t = 1.9905.

The margin of error is given by:

[tex]M = t\frac{s}{\sqrt{n}}[/tex]

Hence:

[tex]M = 1.9905\frac{550}{\sqrt{80}} = 122.4[/tex]

The confidence interval is the sample mean plus/minus the margin of error, hence:

The problem is given by the image at the end of the answer.

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To determine if the three numbers can be the measures of the sides of a triangle:

According to the Triangle Inequality theorem to construct a triangle, the sum of the two sides of the triangle is greater than the third side i.e x + y>z

1) 9, 7, 13

So, 9+7 > 13

16 > 13

7+ 13 > 9

20 > 9

9+13 > 7

22 > 7

Yes, they can be the measures of the sides of a triangle.

2) 26, 12, 11

So, 26+12 > 11

38 > 11

12+ 11 > 26

23 < 26

No, they cannot be the measures of the sides of a triangle.

3) 11, 2,9

So, 11+2 > 9

13 > 9

2+ 9 > 11

11 = 11

No, they cannot be the measures of the sides of a triangle.

4) 6, 11, 12

So, 11+6 > 12

17 > 9

11+12 > 6 and 12+6 > 11

Yes, they can be the measures of the sides of a triangle.

To determine the range of the third side we find the maximum value and minimum value using two sides of a triangle.

Let's assume that x is the third side of the triangle.

5) 12,9

So, the maximum value of the third side is 12+9 = 21 and the minimum value is 12-9 = 3.

Hence, the range is 3<x<21.

6) 8, 11

The maximum value of the third side is 8+11 = 19 and the minimum value is 11-8 = 7.

Hence, the range is 3<x<19.

7) 11,6

The maximum value of the third side is 11+6 = 17 and the minimum value is 11-6 = 5.

Hence, the range is 5<x<17.

8) 12,8​

The maximum value of the third side is 12+8 = 20 and the minimum value is 12-8 = 4.

Hence, the range is 4<x<20.

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Answer:

0.78

Step-by-step explanation:

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

Answer:

-6

Step-by-step explanation:

Answer:

31 1/5 miles.

The expression of the calculator form 3.687E in standard form is; 3.687 × 10¹

A standard form of a number in Math's is simply the representation of large numbers or small numbers using exponents to represent such numbers in standard form.

The correct definition of standard form can be explained in terms of decimal numbers that follows particular rules. We know that decimal numbers are the simplified form of fractions.

Thus, any number that can be written in form of a decimal number, between 1 and 10, multiplied by a power of 10, is said to be in standard form.

Thus, 3.687E simply means;

3.687 × 10¹

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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.

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 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 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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Answer:

about 9.4

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