determine the value of mjk in numerical value only

By writing and evaluating an exponential equation, we can see that the value of the car now is $9,216.

We know that the initial value of the car is $18.000, and the value depreciates at a rate of 20% per year.

If we define x as the number of years since the car was bought, we can write the value equation as:

V(x) = $18,000*(1 - 20%/100%)^x

V(x) = $18,000*(1 - 0.2)^x

V(x) = $18,000*(0.8)^x

The value of the car after 3 years is what we get if we evaluate the exponential equation in x = 3.

V(3) = $18,000*(0.8)^3

V(3) = $9,216

That is the value of the car now.

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The  time that the rocket will hit the ground to the nearest tenth of a foot is 17 secs.

We were given the equation as y=-16x^2+261x+130 , thene we can equate this to zero. as

0=-16x^2+261x+130

from this we can see that this is a quadratic equation, where a= -16, b=261, c =130

Then input into the quadratic formular we have:

[tex]x=\frac{-b+-\sqrt{b^{2}-4ac } }{2a}[/tex]

Then if we input the values we have [tex]x=\frac{-261+-\sqrt{261^{2}-4*-16*130} }{2*-16}[/tex]

Then the value of x are: -0.49 and 16.79

The positive value is the time that the rocket will hit the ground. Therefore, the rocket will hit the ground after 16.79 secs.

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Triangle ABC is reflected across the line y = x.

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

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

Given is that on a coordinate plane, triangle ABC has points (negative 1, negative 1), (negative 2, negative 1) and (negative 2, negative 4). Triangle A'B'C' has points (1, negative 1), (2, negative 1), and (2, negative 4).

The name of the line across which the reflection of the triangle ABC is done is : y = x.

Therefore, triangle ABC is reflected across the line y = x.

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Answer:

Y-axis

Step-by-step explanation:

The probability that she flips a minimum of two tails is 13/16.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The sample space of flipping a coin 5 times.

= {H, T} {H, T} {H, T} {H, T} {H, T}

= {HH, HT, TH, TT}  {HH, HT, TH, TT} {H, T}

=  {HH, HT, TH, TT} {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

= {HHHHH, HHHHT, HHHTH, HHHTT, HHTHH, HHTHT, HHTTH, HHTTT, HTHHH, HTHHT, HTHTH, HTHTT, HTTHH, HTTHT, HTTTH, HTTTT, THHHH, THHHT, THHTH, THHTT, THTHH, THTHT, THTTH, THTTT, TTHHH, TTHHT, TTHTH, TTHTT, TTTHH, TTTHT, TTTTH, TTTTT}

There are 32 possible outcomes.

There are 26 outcomes with a minimum of two tails.

The probability of flipping a minimum of two tails.

= 26/32

= 13/16

Thus,

The probability of fliping a minimum of two tails is 13/16.

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Distance: 19

Steps:

Distance (d) = √(16 - -3)2 + (8 - 8)2

= √(19)2 + (0)2

= √361

=          19

This system of equations has been solved graphically and its solution is equal to the ordered pair (2, 2).

In Mathematics, a graph refers to a type of chart that is typically used for the graphical representation of ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.

In this scenario, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection of the lines on the graph;

y = 3x - 4     ........equation 1.

y = -1/2x + 3       ........equation 2.

Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which is given by the ordered pair (2, 2).

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The graph of the system of linear equation is attached below with solution of x, y as (2, 2)

A graph of a system of linear equations is a set of lines (or a line in case of a unique solution) on a coordinate plane that represent the solutions of the system. The graph of a system of linear equations can have different types of solutions depending on the number of lines and the relationship between them.

In this problem, we will use a graphing calculator to plot the equation and find the point of intersection which is the solution to the graph.

The point of intersection which shows the solution (x,y) of the system of linear equation is at (2, 2)

Kindly find the attached graph below as solution.

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For the provided functions 7x + 4y = -9 and -5x - 3y = 7, the values of x and y are 1 and -4, respectively.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Given the system of equations using elimination: 7x + 4y = -9 and

-5x - 3y = 7.

From equation 2

-5x - 3y = 7

calculate the value of x in the function of y

-5x  = 7 + 3y

x = (-7 - 3y)/ 5

Substituting this value in equation 1

7/5(-7 - 3y) + 4y = -9

y = -4

substituting this value in equation 1

7x + 4(-4) = -9

x = 1

Therefore, the values of x and y the given functions  7x + 4y = -9 and

-5x - 3y = 7 are 1 and -4 respectively.

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The limit lim x → ∞ (2/3)ˣ = ∞

A limit is the value of a function as the independent variable tends to a particular value.

Since we have lim x → ∞ (2/3)ˣ, to find this limit, using the fact that lim x → a ㏑f(x) = ㏑[lim x → a ㏑f(x) ]

So, since  lim x → ∞ (2/3)ˣ, taking natural logarithm of both sides, we have that

lim x → ∞ (2/3)ˣ

㏑[lim x → ∞ (2/3)ˣ] = lim x → ∞ ㏑(2/3)ˣ

= lim x → ∞ x㏑(2/3)

So, substituting x = ∞ into the equation, we have that

lim x → ∞ x㏑(2/3) = ∞㏑(2/3)

= ∞

So, lim x → ∞ (2/3)ˣ = ∞

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The value of the function P(8) given that P(x) = 3.5(1.4)ˣ is (c) 51.65 million

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

An exponential function

The equation of the exponential function is then given as

P=3.5(1.4)x

Express properly

So, we have

P(x) = 3.5(1.4)ˣ

where x represents the amount of decades since 1800

From the question, we have

x = 8

Substitute the known values in the above equation, so, we have the following representation

P(8) = 3.5(1.4)⁸

Evaluate the expression

P(8) = 51.65261696

Approximate

P(8) = 51.65

Hence, the value of P(8) is (c) 51.65 million

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Comparing the two sets of rainfall data for two different time periods in the same location, it can be concluded that the amount of rainfall in Period 1 was fairly constant whereas the amount of rainfall in Period 2 varied greatly.

The rainfall data for two different time periods in the same location provides information about the pattern of rainfall over the time periods.

The rainfall data over the period did not vary widely apart. The data shows that the amount of rainfall did not change too much.

However, for Period 2, the amount of rainfall had very different values.

Hence, it seems rainfall was more precise in frequency in Period 1 than in Period 2.

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Time spent in class per week is 6 × 52 × 5 = 1560 minutes.

Time spent in class per day is 6 × 52 = 312 minutes.

Word problems are sentences describing a 'real-life' situation where a problem needs to be solved by way of a mathematical calculation.

Since Stephanie has 6 classes a day. Each class is 52 minutes. She goes to school 5 days a week.  The time she spend in class can written as:

time in class = 6 × 52 × 5 = 1560 minutes per week

The time can also be written in form of the time spent per day:

time in class = 6 × 52 = 312 minutes per day

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A one-to-one correspondence between the set of all positive integers and the set of all rational numbers exists.

By definition, any rational number can be expressed as a fraction a/b, where a and b are integers and b is nonzero. Since any positive integer can be expressed as the fraction a/1, each positive integer can be associated with a rational number a/1.

Thus, there is a one-to-one correspondence between the set of all positive integers and the set of all rational numbers. Furthermore, since any rational number a/b can be expressed as the product of a and b, it can also be associated with the product of two positive integers a and b.

Thus, there is also a one-to-one correspondence between the set of all rational numbers and the set of all positive integers.

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Answer:

96

Step-by-step explanation:

2 x 6=12

12 x 4= 48

48 x 2=96

Answer:

1/3

Step-by-step explanation:

Slope = Rise/Run
We are rising 1 and running 3 on the graph

Information                                           number of triangles

sides of 20 cm, 5cm and 15 cm :        no triangle

angles 35, 35, and 110 degrees          many triangles

angles 50, 50, and 85 degrees          no triangle

sides of 7, 3 and 9                                one unique triangle

A maximum of one unique triangle is formed when the three sides of the triangle given are in the form that the sum of the two shortest sides will be greater than the third side

In the problem, for a triangle to be formed

15 cm + 5 cm > third side, here the sum is not greater hence no triangle

7 + 3 > third side, here the sum is greater than the third side hence a unique triangle is formed

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Answer:

Option a) 6x+6 is correct.

Step-by-step explanation:

Option a) 6x+6 is correct.

The given expression 6x+6 represents a linear expression.

Step-by-step explanation:

Definition: Linear expression  is a mathematical statement defining an equality. It is usually a polynomial equation having degree 1. It can be written as linear relationship with variables and a constant.

6x+6 expression represents a linear expression

Because it has degree 1.

Therefore Option a) 6x+6 is correct.

The given expression 6x+6 represents a linear expression.

a) 6x+6

The given expression 6x+6 represents a linear expression.

Definition:

Linear expression is a mathematical statement defining equality. It is usually a polynomial equation having a degree of 1. It can be written as a linear relationship with variables and a constant.

6x+6 expression represents a linear expression.

Because it has degree 1.

Therefore, a) 6x+6 is correct.

The given expression 6x+6 represents a linear expression.

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The type of function that is shown in the given graph image is called a; Cubic Function

The vertical line test is a tool in graph functions that is very important when we are trying to determine the function that a specific graph represents. Now, we can further say that the vertical line is typically one that includes all points alongside a specific x-value with the y-value of a point that a vertical line will intersect a graph to represent an output for that particular input x value.

Now, there are different types of graphs and they all depend on the particular type of function that is being graphed. The eight most popular graphs are linear, power, quadratic, polynomial, rational, exponential, logarithmic, and sinusoidal. Each of the types of graphs are usually unique which means that is easy to visually differentiate from the rest.

In this given graph, we can see that the graph shows an image that corresponds to a cubic function because of the classical infinite branches, then the three real roots and then the two extrema values

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The equation of line passes through the points (-3, -1) and (5, -1) will be;

⇒ y = - 1

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (-3, -1) and (5, -1).

Now,

Since, The equation of line passes through the points (-3, -1) and (5, -1)

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (- 1 - (-1)) / (5 - (-3))

m = 0/8

m = 0

Thus, The equation of line with slope 0 is,

⇒ y - (-1)= 0 (x - (-3))

⇒ y + 1 = 0

⇒ y = - 1

Therefore, The equation of line passes through the points (-3, -1) and       (5, -1) in slope intercept form is,

⇒ y = - 1

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The statement "5 subtract from 9" as an expression is 9 - 5

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

A mathematical statement

The mathematical statement is given as

5 subtract from 9

Subtraction means minus

So, we have the following representation

5 subtract from 9 = 9 - 5

The question does not require that we solve the expression

So, we leave it at 9 - 5

Hence, the required expression is 9- 5

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The distance of the straight line is √17 miles and the angle formed is

75.96°.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, A bus drives 1 mile west and 4 miles north.

Let, The distance the bus travels along the west be adjacent and the distance traveled in the north be the height.

So, By Pythagoras' theorem,

The straight line distance = √(1² + 4²).

= √(1 + 16) miles.

= √17 miles.

Now, We know tan = opposite/adjacent.

tan = 4/1.

tan⁻¹(4/1) = Ф.

Ф = 75.96°.

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The equation of the proportional relationship is y = 2x.

Proportional relationships are relationships between two variables where their ratios are equivalent. A proportional relationship is one in which two quantities vary directly with each other.

Therefore, the proportional relationship can be represented as follows:

y ∝ x

y = kx

where

using (2, 4)

y = kx

4 = 2k

k = 4 / 2

k = 2

Therefore, the equation is y = 2x.

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(37.5, 42, 43.5} is the set of numbers that makes the inequality true

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g 5 < 6, x ≥ 2, etc.

Given that:

Amanda uses the inequality below to calculate how many minutes, m, it takes her to swim at least 1,500 meters.

40m ≥ 1, 500

To determine which set of numbers makes the inequality true, solve for m and check the pick that contains the values greater than or equal to m:

40m ≥ 1, 500

m  ≥ 1, 500/40

m  ≥ 37.5

Thus, the set of numbers that makes the inequality true is (37.5, 42, 43.5}

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Answer:16/15

1 and 1/15

Step-by-step explanation:

4/5 x 4/3

Answer:

False

Step-by-step explanation:

$1.45 * 8= $11.6.

The right unit price would be $1.50

I think  

Answer:

false 1.5 is correct

Step-by-step explanation:

so the answer is 8 divided by 12.00 and it is false the answer is 1.5

The triangle QRS and TUS are congruent.

In mathematics, a postulate is a statement that is considered exactly true without showing any proof on it.

The quadrilateral whose opposite sides are equal in length and parallel to each other is called parallelogram. The parallelogram that has four right angles is called rectangle. One of the main properties of parallelogram is that the diagonals bisect at a point.

In the given question, two diagonals QU and RT intersect at point S.

If we join the point Q with T and R with U, RQTU parallelogram is formed.

QU and RT are the diagonals of the parallelogram.

According to the properties of parallelogram, RQ = TU and QT =RU

As the diagonals intersect at S, we can discuss about two triangle RQS and TUS

we find side length QS = side length SU and side length RS = side ST

On the other hand, ∠QSR =∠UST because the diagonals bisect at S

Finally, the triangle RQS and TUS has two equal side length and one equal angles. Besides, other side and remaining angles are also similar.

So, ΔRQS≅ΔTUS

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Answer:::

267 divided by 742

is

0.35983827493

rounded off to 0.36

Answer:

Step-by-step explanation:

Apparently, you want to solve the system of equations by multiplying or dividing one of them by a factor that will make the y-coefficients the same.

The y-coefficients are 2 and -1, so we can multiply the first by -1/2 to make it the same as the second, or we can multiply the second by -2 to make it the same as the first.

We prefer to work with integers, rather than fractions, so we choose to multiply the second equation by -2.

  -2(3x -y) = -2(4)

  -6x +2y = -8 . . . . . . . y-coefficient is the same as in the first equation

Now, we can subtract the second equation from the first to eliminate the y-terms:

  (3x +2y) -(-6x +2y) = (10) -(-8)

  9x = 18 . . . . . . . . . simplify

  x = 2 . . . . . . . . . divide by 9

Substituting this into the original second equation gives ...

  3(2) -y = 4

  6 -4 = y = 2 . . . . . . . add (y-4)

The solution is (x, y) = (2, 2).

__

Additional comments

The picture posted here has no question, so there is no way to tell how to answer it. Any answer must be provided in accordance with whatever instructions are given.

Solving these equations is somewhat easier if you make the y-coefficients opposites, rather than the same. This can be done by multiplying the second equation by 2: 6x -2y = 8. Now the equations can be added to give 9x = 18, as above.

Of course, the x-coefficients are already the same, so we can more easily eliminate the x-terms. Subtracting the second equation from the first gives ... (3x +2y) -(3x -y) = (10) -(4), or 3y = 6.

Answer:

+5 + 3 = 8

Step-by-step explanation:

The intersection between A and B in a deck of 52 playing cards is option B, drawing a 6, a club, or a spade.

In a standard deck of 52 playing cards with 4 suits

Event A is drawing a 6 from the deck

Event B is drawing a black card from the deck

Therefore A will have 4 possibilities of cards with 6 on them

B will have a total of 26 possibilities of black playing cards with both clubs and spade.

The intersection of A and B will be drawing a 6 or a black card(a club, or a spade) as the common elements in the two sets. Therefore, drawing a 6, a club, or a spade.

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