Suppose that the local sales tax rate is 4% and you purchase a car for $24,500.
a. How much tax is paid?
b. What is the car's total cost?

a. The amount of tax paid is $?

Answers

Answer 1

Answer: $980

$25480

Step-by-step explanation:

Answer 2
a. To find the amount of tax paid, we need to multiply the purchase price of the car by the tax rate:

Tax paid = 4% of $24,500

Tax paid = 0.04 * $24,500

Tax paid = $980

Therefore, the amount of tax paid is $980.

b. To find the car's total cost, we need to add the purchase price to the amount of tax paid:

Total cost = Purchase price + Tax paid

Total cost = $24,500 + $980

Total cost = $25,480

Therefore, the car's total cost is $25,480.

Related Questions

Please help wwaaaaaaaa

Answers

The recursive formula for the given sequence is:

f(n) = f(n - 1) + 3

How to write a recursive formula for the sequence?

Here we have the graph of a sequence, we can see that the first terms are:

f(0) = 4

f(1) = 7

f(2) = 10

f(3) = 13

f(4) = 16

A recursive formula tells us how to find the value of the n-th term of the sequence by using the previous terms.

By looking at the values above, you can see that all the terms are 3 units apart, so the recursive sequence that we can use here is:

f(n) = f(n - 1) + 3

It says that "the n-th term is equal to the previous term plus 3"

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Estimated Salary=29,608.40+2632.98(Years of Experience)

What is the estimated salary for an employee with 18
years of experience?

Answers

The estimated salary fοr an emplοyee with 18 years οf experience is $77,201.24.

What is BODMAS?

BODMAS stands fοr Brackets, Order, Divisiοn/Multiplicatiοn, Additiοn/Subtractiοn, and it represents the οrder οf mathematical οperatiοns tο be perfοrmed when evaluating an expressiοn. It ensures that expressiοns are evaluated in a cοnsistent and unambiguοus manner.

Tο calculate the estimated salary fοr an emplοyee with 18 years οf experience using the prοvided fοrmula, we can substitute 18 fοr "Years οf Experience" and sοlve fοr the salary:

Estimated Salary = 29,608.40 + 2632.98(18)

Estimated Salary = 29,608.40 + 47,592.84

Estimated Salary = 77,201.24

Therefοre, the estimated salary fοr an emplοyee with 18 years οf experience is $77,201.24.

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13) Identify the trigonometry ratio that would be used to find a.

14) Identify the trigonometry ratio that would be used to find x.

Answers

The trigonometry ratio that would be used to find a and x is 13. Sine and 14. Tangent.

What is tangent of a function?

The right triangle is the foundation of trigonometry. Hence, one of the relationships in that right triangle is defined by the tangent. The ratio of the opposing side to the adjacent side of a specific right triangle angle is the connection that the tangent specifies. You must first identify the hypotenuse in order to find the tangent. The hypotenuse is generally the longest side of the right triangle. After labelling your sides, you proceed to take the proper ratio.

The value of a is opposite to the given angle.

Here, the value of hypotenuse is also known.

Hence, the trigonometric identity that gives the relationship between opposite side and hypotenuse is sine. Option A is the correct answer.

14. For the triangle the segments are opposite side and adjacent side to the given angle.

Hence, the trigonometric identity that gives the relationship between opposite side and adjacent side is tan. Option C is the correct answer.

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Solving absolute value equations
Solve4 (x+7)=16

Answers

Answer: X = -3

Step-by-step explanation:

The question is in the photo!

Answers

The answer is A. The game is strictly determined and the value of the game is -7.

What is matrix?

A rectangular array of characters, numbers, or phrases arranged in rows and columns is known as a matrix.

Given matrix, where we have to find out, is the game strictly determined for the following matrix or not?

[tex]\left[\begin{array}{ccc}-7&7&-3\\3&8&6\\1&3&-3\end{array}\right][/tex]

Using the minimax theorem, we know that if the game is strictly determined, the value of the game is equal to the value of the saddle point. If the game is not strictly determined, the value of the game may not exist or may be a range of values.

We can check each row and column for minimum and maximum values:

The minimum value in the first row is -7.

The maximum value in the second column is 7.

The minimum value in the third row is -3.

We can see that the element in the first row and second column is both the minimum in its row (-7) and the maximum in its column (7), so it is a saddle point. Therefore, the game is strictly determined and the value of the game is -7.

The answer is A. The game is strictly determined and the value of the game is -7.

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The number 36 is 3 times as many as 12. Write this comparison as a multiplication equation.​

Answers

By answering the presented question, we may conclude that This equation equation demonstrates that 36 equals the result of multiplying 3 by 12.

What is equation?

A math equation is a technique that links two assertions and denotes equivalence using the equals sign (=). In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For example, in the equation 3x + 5 = 14, the equal sign separates the numbers 3x + 5 and 14. A mathematical formula may be used to understand the link between the two phrases written on either side of a letter. The logo and the programmed are usually interchangeable. As an example, 2x - 4 equals 2.  

The comparison "36 is three times as numerous as 12" may be written as follows:

36 = 3 x 12

This equation demonstrates that 36 equals the result of multiplying 3 by 12.

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Lindsey estimated the amount of liquid in a container to be 80 ml. The actual amount of liquid was 83 ml. What is the percent error? Round your answer to the nearest whole percent.

Answers

Answer 4%
(83-80)/83=3/83
Convert to a percentage 4%

Solve the system
y=3x+1
-x+2y=-3​

Answers

Therefore , the solution of the given problem of equation comes out to be x = -14/15 and y =  -37/15 .

What is an equation?

It is standard practise in mathematical formulas to employ a single variable term to ensure agreement between competing claims. Equations, which are mathematical statements, are used to demonstrate the equality of many academic integers numbers. Instead of dividing 12 into 2 parts in this instance, the normalise technique adds b + 6 to use the data from y + 6.

Here,

We can use the substitution or elimination technique to solve this system. Here, we'll employ the removal strategy.

given solution system:

=> y = 3x + 1 (1)

=>-x + 2y = -3 (2) (2)

By combining equations (1) and (2) multiplied by 1 and 3, respectively, we can remove the variable x:

=>3*(-x + 2y = -3)

=> -3x + 6y = -9

=> 1*(y = 3x + 1)

=> y =  3x + 1

Combining the two equations:

=>y = 3x + 1

=> -3x + 6y = -9

=> 6y - 3x = -8

By multiplying both parts of this equation by 3, we can make it simpler:

=> 2y - x = -8/3

However, we can still use equation (1) to replace y even though we have a new equation in terms of x and y:

=> y = 3x + 1

=> 2y - x = -8/3

y = 3x Plus 1 is substituted in the second equation:

=>2(3x + 1) - x = -8/3

=> 6x + 2 - x = -8/3

=>5x = -14/3

=>x = -14/15

Finding y by substituting this x number in equation (1):

=> y = 3x + 1 = 3(-14/15) + 1 = -37/15

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Help quickly!! 100 POINTS NEEDED QUICKLY
A two-digit locker combination has two nonzero digits and no two digits are the same. Event A is defined as choosing an odd digit for the first number, and event B is defined as choosing an even digit for the second number.
If a combination is picked at random, with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?

Answers

The conditional probability is given as follows:

P(B|A) = 1/2, option C.

How to calculate a probability?

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The events are given as follows:

Event A: odd digit for the first number.Event B: even digit for the second number.

P(B|A) is the probability that the second digit is even, considering that the first digit was odd. As the digits cannot repeat, and there will be 8 remaining digits, out of which 4 will be even, the probability is given as follows:

P(B|A) = 4/8 = 1/2.

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Find the Error A student concluded that trapezoid ABCD maps exactly to trapezoid
EFGH because a reflection across a vertical line followed by a translation down maps
trapezoid ABCD onto trapezoid EFGH. Find the student's mistake and correct it.
B
A
F
IN
E
D C
G H
Which selections describe an error that the student made and give the correct
response? Select all that apply.

Answers

The student applied the reflection before the translation, which is incorrect. (error) The correct sequence of transformations is a translation followed by a reflection across the vertical line. (Correct response)

What is sequence?

In mathematics, a sequence is an ordered list of numbers, usually denoted by {a1, a2, a3, ...}, where each element in the list is called a term or a member of the sequence. Sequences can be finite or infinite, and they can be defined by a formula, a recursive rule, or simply by listing the terms.

by the question.

The student's mistake is that a reflection followed by a translation is not equivalent to just a translation. In other words, the order of the transformations matters.

To correct the mistake, the student could perform the translation first and then the reflection across the vertical line.

The student did not specify the location of the vertical line of reflection. The correct response is to specify the line of reflection that maps the corresponding sides of the trapezoids onto each other.

The student did not specify the distance of the translation down. The correct response is to specify the correct translation that maps the corresponding vertices of the trapezoids onto each other.The student did not consider the orientation of the trapezoids. If the trapezoids have different orientations, a reflection and translation transformation may not map them onto each other. The correct response is to check if the orientation of the trapezoids is preserved under the transformation.

To correct the mistake, the student would need to carefully analyze the two trapezoids and their corresponding parts, and consider whether any stretching or skewing is necessary to achieve an exact mapping. Alternatively, the student could use a different method of transformation, such as a rotation or a combination of rotations and translations.

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5. James Rodriguez strikes a soccer ball during penalty kicks. The arc of the ball can be mapped by the function f(x) = −8t(t – 8). How long does the ball spend in the air?​

Answers

Answer:

The function f(x) = -8t(t - 8) represents the height of the soccer ball at any given time t, where t is the time in seconds after the ball was kicked.

To find out how long the ball spends in the air, we need to determine the time at which the ball hits the ground. The ball hits the ground when its height is zero, so we can set f(x) = 0 and solve for t:

-8t(t - 8) = 0

This equation has two solutions: t = 0 and t = 8. The first solution corresponds to the time when the ball is kicked and the second solution corresponds to the time when the ball hits the ground. Since we're interested in the time the ball spends in the air, we need to subtract the time the ball was kicked from the time the ball hits the ground:

t = 8 - 0 = 8 seconds

Therefore, the ball spends 8 seconds in the air.

Alfred is y years old

Libby is 4 years younger
than Alfred.

John is 4 times as old as
Libby.

Write down an expression in terms of y, for john’s age.

Answers

Answer:

therefore, the expression for John's age in terms of y is 4y - 16.

Step-by-step explanation:

Answer:

John's age = 4y - 16

Step-by-step explanation:

We can start by using the information given to write expressions for the ages of Libby and John in terms of Alfred's age y.

We know that Libby is 4 years younger than Alfred, so her age can be written as:

Libby's age = Alfred's age - 4

We also know that John is 4 times as old as Libby, so his age can be written as:

John's age = 4 × Libby's age

Substituting the expression for Libby's age from the first equation into the second equation, we get:

John's age = 4 × (Alfred's age - 4)

Simplifying this expression, we get:

John's age = 4 × Alfred's age - 16

Therefore, an expression in terms of y for John's age is:

John's age = 4y - 16

What is the correct shortcut?

Answers

The triangle congruence postulate used for the given diagram is; SSS

How to find the triangle congruence postulate?

There are different triangle congruency postulates namely:

SSS: Side Side Side Congruency Postulate

SAS: Side Angle Side Congruency Postulate

ASA: Angle Side Angle Congruency Postulate

AAS: Angle Angle Side Congruency Postulate

HL: Hypotenuse Leg Congruency Postulate

From the given image, we see that we see that we have three congruent sides shown of both triangles and as such the triangles are congruent by SSS Congruency Postulate.

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Determine the value of x.
A) 5/3
B) 10
C)5
D) 10/3

Answers

Check the picture below.

The length of the hypotenuse (x) in the given right triangle is approximately 10 units.

Hence the correct option is B.

Given is right triangle with perpendicular side having measurement of 5 units,

The acute angle between the base and the hypotenuse = 30°

The acute angle between the perpendicular and the hypotenuse = 60°

We need to find the length of the hypotenuse (x).

We can use the trigonometric ratio for sine (sin) to relate the lengths of the sides.

In this case, we'll use the sine of the 30° angle:

sin(30°) = opposite/hypotenuse

sin(30°) = 5/x

To solve for x, we can rearrange the equation:

xsin(30°) = 5

x = 5 / sin(30°)

Now, we can calculate the value of x using this equation:

x = 5 / sin(30°)

x ≈ 10 units

Therefore, the length of the hypotenuse (x) in the given right triangle is approximately 10 units.

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What is 15 rounded to the nearest hundred

Answers

15.00 would be your answer!

Answer:600

Step-by-step explanation:

Since this number is less than 5, we round down the number, i.e. we round it off to the nearest 100 that comes next to this number. So, 15 becomes 00 which on adding to 6 at the hundred's places, becomes 600.

Compute the limit of the problem in the picture

Answers

Answer:

  1/2

Step-by-step explanation:

You want the limit ...

  [tex]\displaystyle \lim_{t\to\infty}{\dfrac{t-3}{\sqrt{4t^2+25}}}[/tex]

Solution 1

In general, for polynomial-like functions, the limit is the ratio of the highest-degree terms:

  [tex]\displaystyle \lim_{t\to\infty}{\dfrac{t-3}{\sqrt{4t^2+25}}} = \lim_{t\to\infty}{\dfrac{t}{\sqrt{4t^2}}}=\dfrac{t}{2t}=\boxed{\dfrac{1}{2}}[/tex]

Solution 2

You can consider the limit when x→0 and t=1/x.

  [tex]\displaystyle \lim_{t\to\infty}{\dfrac{t-3}{\sqrt{4t^2+25}}} = \lim_{x\to 0}{\dfrac{\dfrac{1}{x}-3}{\sqrt{\dfrac{4}{x^2}+25}}}\\\\\\=\lim_{x\to 0}\dfrac{1-3x}{\sqrt{4+25x^2}}=\dfrac{1}{\sqrt{4}}=\boxed{\dfrac{1}{2}}[/tex]

Circle O shown below has a radius of 20 inches. Find, to the nearest tenth,
the radian measure of the angle, x, that forms an arc whose length is 38
inches.

Answers

The radian measure of the angle that forms an arc of length 38 inches in Circle O is approximately 1.9 radians.

What is an angle ?

The length of an arc of a circle is given by the formula:

length of arc = radius * angle in radians

Let x be the radian measure of the angle that forms an arc of length 38 inches in Circle O. Then we can write:

38 = 20x

Solving for x, we get:

x = 38/20

x = 1.9 radians (to the nearest tenth)

Therefore, the radian measure of the angle that forms an arc of length 38 inches in Circle O is approximately 1.9 radians.

What is an arc?

In geometry, an arc is a segment of a curve, such as a circle or an ellipse. It is defined as the portion of the curve that lies between two distinct endpoints. An arc is named based on its endpoints, and it can be classified as a minor arc, major arc, or semicircle depending on its length. A minor arc is an arc that measures less than 180°, a major arc is an arc that measures more than 180°, and a semicircle is an arc that measures exactly 180°. The measure of an arc is typically given in degrees or radians, and it can be calculated using the formula:

measure of arc = (central angle/360) * 2πr

where r is the radius of the circle, and the central angle is the angle that the arc subtends at the center of the circle.

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I need help now !!!!!!!

Answers

The length of segment BD, considering the Geometric Mean Theorem, is given as follows:

C. 8 units.

How to obtain the length of segment BD?

The geometric mean theorem in a triangle states that the length of a line segment joining the midpoints of two sides of a triangle is equal to the geometric mean of the lengths of those two sides.

The lengths of the two sides for this problem are given as follows:

4 and 16.

Hence the length of segment BD is obtained with the geometric mean of 4 and 16, as follows:

BD = sqrt(4 x 16)

BD = sqrt(64)

BD = 8 units.

Hence the correct option for this problem is given by option C.

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i need help with question 9

Answers

Answer:

Option D

Step-by-step explanation:

Total number of posters Rhett puts up = 9

                Printing cost of each poster = $2

                                    ∴Total cost on posters = ([tex]\frac{2 dollars}{1 poster}[/tex]) × (9 posters)

                                                                           = $18

Note: The unit multiplier used above is arranged in a way that the current unit of “posters” is cancelled out and the answer is assigned with the new unit of “dollars".

Number of fliers Rhett gives out = x

Printing cost of each flier = $0.20

                                    ∴Total cost on fliers = [tex]\frac{0.20 dollars}{1flier}[/tex] × (x fliers)

                                                                      = $0.20x

Note: The unit multiplier used above is arranged in a way that the current unit of “fliers” is cancelled out and the answer is assigned with the new unit of “dollars


∴How much it cost Rhett to search for his lost puppy:

y = Total cost on fliers + Total cost on posters

∴[tex]y = 0.20x + 18[/tex]

∴Option D

Find the savings plan balance after 6 months with an APR of 2% and monthly payments of $150.
www
The balance is $.
(Do not round until the final answer. Then round to the nearest cent as needed.)

Answers

The savings plan balance after 6 months with an APR of 2% and monthly payments of $150 is approximately $913.35.

What distinguishes nominal interest rates from effective interest rates?

The stated interest rate on a loan or investment is known as the nominal interest rate; it does not account for compounding or any other elements that may have an impact on the real return or expense. Often, it is stated as an annual percentage rate (APR).

The effective interest rate, in contrast, takes into account compounding and other elements that may have an impact on the true cost or return of a loan or investment. It is often represented as an annual percentage yield and represents the actual rate of return or cost that is earned or paid on the principal amount over a certain time (APY).

Given that,

APR = 2% and monthly payments = $150.

For future value of annuity we use the following formula:

FV = Pmt × [(1 + r)⁽ⁿ⁻¹⁾] /r

Substituting the values:

r = 0.02/12 = 0.0016667, n = 6, and Pmt = $150:

FV = $150 × [(1 + 0.0016667)⁽⁶⁻¹⁾]/0.0016667

FV ≈ $913.35

Hence, the savings plan balance after 6 months with an APR of 2% and monthly payments of $150 is approximately $913.35.

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Which statement concerning the binomial distribution is correct

Answers

Its CDF shows the probability of each value of X. is correct.

What is probability?

Probability is the measure of the likelihood that an event will occur. It is the ratio of the number of outcomes favorable to the event divided by the total number of possible outcomes. Probability is expressed as a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur.

The binomial distribution is a probability distribution that shows the probability of a success or failure outcome in an experiment that is repeated multiple times. Its PDF (probability density function) shows the probability of each possible value of X, and its CDF (cumulative density function) shows the probability of each value of X and all values of X less than it.

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Write the first four terms of a maclaurin series for f(x) = e^x

Answers

On solving the question we have that the answer of the equation will be [tex]Answer: "f(x) = 1 + x +\frac{1}{2}{x^2} + \frac{1}{6}{x^3} + ..."[/tex]

What is equation?

A math equation is a mechanism for connecting two statements and indicating equivalence with the equals sign (=). To explain the connection between the two sentences put on each side of a letter, a statistical method can be employed. The software and the logo are usually interchangeable. 2x - 4 equals 2, for example. An equation is a logical expression that asserts the equality of some mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the numbers 3x + 5 and 14.

[tex]"f(x) = {e^x} \Rightarrow f'(x) = {e^x} \Rightarrow f''(x) = {e^x} \Rightarrow f'''(x) = {e^x}"[/tex]

Then

[tex]"f(x) = f(0) + \frac{{f'(0)}}{{1!}}x + \frac{{f''(0)}}{{2!}}{x^2} + \frac{{f'''(0)}}{{3!}}{x^3} + ... = {e^0} + \frac{{{e^0}}}{1}x + \frac{{{e^0}}}{2}{x^2} + \frac{{{e^0}}}{6}{x^3} + ... = 1 + x + \frac{1}{2}{x^2} + \frac{1}{6}{x^3} + ..."[/tex]

[tex]Answer: "f(x) = 1 + x + \frac{1}{2}{x^2} + \frac{1}{6}{x^3} + ..."[/tex]

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Question
Find the product.

(3x2+x−2)(−4x2−2x−1)=

Answers

Answer:

-12x⁴-10x³+3x²+3x+2

Step-by-step explanation:

(3x²+x−2)(−4x²−2x−1)=3x²(−4x²−2x−1)+x(−4x²−2x−1)−2(−4x²−2x−1)

                                 { ( a+b ) ( a+b )=a ( a+b )+b ( a+b ) by distributive  property }

                                =  -12x⁴-6x³-3x²-4x³-2x²-x+8x²+4x+2

                                =   -12x⁴-10x³+3x²+3x+2  

A retailer sold bat at 25% profit. Cost price of 5 bats is equal to cost price of 4 balls. On ball retailer earns 40% profit. If on selling one bat and one ball he earns Rs. 45 profit then find cost price of ball

Answers

The cost price of one ball is equal to Rs. 75

How to evaluate for the cost price of ball

We shall represent the cost price of one bat with the letter 'x', so that the selling price of one bat is 125% of 'x', which is 1.25x.

The cost price of 5 bats is equal to the cost price of 4 balls. So,

5x = 4y, where 'y' is the cost price of one ball.

y = (5/4)x

Also, we know that the profit percentage on one ball is 40%. So, the selling price of one ball is 140% of its cost price, which is 1.4y.

Profit earned on selling one bat and one ball is calculated as:

Profit = Selling price - Cost price

Profit = (1.25x + 1.4y) - (x + y)

Profit = 0.25x + 0.4y

Profit = 0.25x + 0.4(5/4)x {Substituting the value of 'y'}

Profit = 0.75x

given that the above profit is equal to Rs. 45. them,

0.75x = 45

x = 60

The cost price of one bat is Rs. 60 and the cost price of one ball:

y = (5/4)x

y = (5/4) × 60

y = 75

Therefore, the cost price of one ball is Rs. 75.

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a questionnaire that can help advise a person whether to take a gap year or not​

Answers

Answer:

What are your goals for taking a gap year?

Are you looking to gain new experiences, skills, or perspectives?

Do you want to travel, learn a new language, or volunteer?

Are you trying to improve your mental health or overall well-being?

What are your current academic or career plans?

Do you have a clear idea of what you want to study or what career you want to pursue?

Have you already been accepted into a program or job?

What are your financial circumstances?

Can you afford to take a gap year without negatively impacting your future plans?

Do you have savings or a plan to work during your gap year?

How will taking a gap year affect your relationships with friends and family?

Will you be able to stay in touch with loved ones while you're away?

Will you miss any important events or milestones?

What are the potential risks and rewards of taking a gap year?

Could it delay your academic or career goals?

Could it help you gain valuable experience or clarity about your future plans?

How do you feel about the idea of taking a gap year?

Are you excited about the possibilities, or do you feel uncertain or anxious?

By answering these questions honestly, you should have a better idea of whether taking a gap year is the right decision for you. Keep in mind that there is no one-size-fits-all answer, and what works for one person may not work for another. Ultimately, the decision should be based on your own unique goals, circumstances, and desires.

Step-by-step explanation:

What is the value of x?

Answers

Answer:

x = 26 degrees

Step-by-step explanation:

Supplementary angles mean that they sum up to be 180 degrees therefore

C + D = 180 degrees

128 degrees + D = 180 degrees

D = 180 degrees - 128 degrees

D = 52 degrees

If the measure of the angle D is two times the value of x then x is...

x = D/2

x = 52 degrees / 2

x = 26 degrees

X = 26 easy common maths

Consider the following equation.

−7y+5x=5(−7+x)
Step 2 of 2: Graph the equation by plotting the x- and y-intercepts. If an intercept does not exist, or is duplicated, use another point on the line to plot the graph.

Answers

The graph οf the equatiοn −7y + 5x = 5(−7 + x) is a straight line passing thrοugh the pοint (0, 5) with a negative slοpe.

What is Linear Equatiοn in Twο Variables?

A linear equatiοn in twο variables is an equatiοn that can be written in the fοrm ax + by = c, where a, b, and c are cοnstants and x and y are variables.

Tο graph the equatiοn −7y + 5x = 5(−7 + x), we can first find the x- and y-intercepts by setting each variable tο zerο in turn.

When y = 0, we get:

-7y + 5x = 5(-7 + x)

0 + 5x = 5(-7 + x)

5x = -35 + 5x

0 = -35

This is a cοntradictiοn, which means that there is nο x-intercept.

When x = 0, we get:

-7y + 5x = 5(-7 + x)

-7y + 0 = 5(-7 + 0)

-7y = -35

y = 5

Sο the y-intercept is (0, 5).

Therefοre, the graph οf the equatiοn −7y + 5x = 5(−7 + x) is a straight line passing thrοugh the pοint (0, 5) with a negative slοpe.

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P-5 x -4 = 5 x 2 pls if anyone know what this proportion is pls let me know thanks

Answers

the answer is 5x^2+5x+4

Answer:

5x^2+5x+4

Step-by-step explanation:

also can someone help me with my questions

Reflect -8,-5 across the x-axis.
Then reflect the result across the y-axis.
what are the coordinates of the final point?

Its not on a graph thats why i dont know

Answers

The final point after both reflections would be (8, 5).

what is a graph?

A graph is a visual representation of data, typically in the form of a diagram or chart, used to show the relationship between different variables or quantities. Graphs are commonly used to display data in a way that makes it easier to understand and analyze.

Graphs can take many different forms, depending on the type of data being presented and the purpose of the graph. Some common types of graphs include:

Line graphs: Used to show trends over time.

Bar graphs: Used to compare different values or quantities.

Pie charts: Used to show the proportion of different components of a whole.

Scatter plots: Used to show the relationship between two variables.

Histograms: Used to show the frequency distribution of a set of data.

To reflect a point across the x-axis, we simply change the sign of the y-coordinate. So if we start with the point (-8, -5), its reflection across the x-axis would be (−8, 5).

To reflect a point across the y-axis, we change the sign of the x-coordinate. So reflecting the point (−8, 5) across the y-axis would give us (8, 5).

Therefore, the final point after both reflections would be (8, 5).

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Brandi has a deck of 12 cards labeled A through L. Brandi draws a card from the deck and returns it, then draws a card again. What is the theoretical probability that Brandi draws a card with a vowel both times?

A) 6.25%

B) 2.08%

C) 25%

D) 75%

Answers

The prοbability οf getting vοwel card twice is 6.25%

What is prοbability?

Prοbability is a way οf calculating hοw likely sοmething is tο happen. It is difficult tο prοvide a cοmplete predictiοn fοr many events. Using it, we can οnly fοrecast the prοbability οr likelihοοd, οf an event οccurring. The prοbability might be between 0 and 1, where 0 denοtes an impοssibility and 1 denοtes a certainty.

Here Tοtal number οf card frοm A tο L = 12.

The vοwel between A tο L = A,E,I

Number οf vοwel = 3

Nοw the prοbability

=> Number οf favοrable incοme/ Tοtal number οf οutcοme

Here Tο draw vοwel  in first, the prοbability =  3/12= 1/4

Nοw again the prοbability οf drawing vοwel in secοnd = 3/12 = 1/4.

Then probability of getting vowel twice = [tex]\frac{1}{4} \times \frac{1}{4}[/tex] = 1/16

=> [tex]\frac{1}{16}\times100[/tex] = 6.25%.

Hence the probability of getting vowel card twice is 6.25%.

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