Segment RS is reflected over the line y = x and then translated by (x+3, y + 4). The resulting segment
RS" has coordinates R" (-1,4) and S" (-3,-2). What are the coordinates of the segment RS?

Segment RS Is Reflected Over The Line Y = X And Then Translated By (x+3, Y + 4). The Resulting SegmentRS"

Answers

Answer 1

The original coordinates are R= (-6,-6) and S = (-4,0)

What is translation?

Translation in mathematics is a property in which we shift each coordinate on a line by a constant value.

We are given that we originally had a segment RS which is reflected over the line y = x and then translated by (x+3, y+4) after this the segment we get the coordinates are R'' (-1,4) and S( -3,-2)

We are asked to find the coordinates of R and S

To find the coordinates we first reverse the process we subtract 3 from both x coordinate and 4 from both y coordinate

Hence we get,

R' = (-1,4)-(3,4)

R' = (-4,0)

And

S' = (-3,-2)-(3,4)

S' = (-6,-6)

Now to find the original coordinates we reverse the coordinates

Hence we get,

R= (-6,-6) and S = (-4,0)

Therefore the coordinates are R= (-6,-6) and S = (-4,0)

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Related Questions

Please help me
Slope=
Y- intercept=
Equation=

Answers

Slope:

The slope is found with m = (y2 - y1) / (x2 - x1).

You can use any two points, so I'd pick ones with positive x and y values.

Using (1,5) and (3,3):

    m = (3 - 5) / (3 - 1) = (-2)/(2) = -1

The slope is -1.

To find the y-intercept, we can go to the point (-1,7) and use the slope of -1.  A slope of -1 means that if x goes up by 1, then then y goes down by 1.  So if we go from x=-1 to x=0, then the y-value of 7 will go down by 1.

y-intercept (0,6)

The equation in slope-intercept form is y = -x + 6, since we already found the slope and y-intercept.

Find d, the distance across the lake.

Answers

The answe would be 2553 ft

18. Write three valid congruency statements given the triangles below.

Answers

Angle T = Angle Q
QR = ST
TU = PQ
Triangle PQR = Triangle STU reason=ASA

The three valid congruency statements are; Triangle PQR = Triangle STU

What are congruent angles?

Angles who are of same measurement are called congruent.

Suppose that two angles ∠A and ∠B are of same measure, then

[tex]m\angle A = m\angle B[/tex] is the notation to say that they are of same measurement, where the small m shows that its the measurement of the angles they're preceding.

Congruence statement states that a statement used in geometry that simply says that two objects are congruent, or has the  same shape and size.

Also, we can make congruence statements in words or in symbols. Using symbols we use the congruence symbol i,e  ≅ to indicate that two objects are congruent.

In the given triangles;

Angle T = Angle Q

QR = ST

TU = PQ

Triangle PQR = Triangle STU reason=ASA

Therefore, the three valid congruency statements are;

Triangle PQR = Triangle STU

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raina swam 8 kilometers against the current in the same amount of time it took her to swim kilometers with the current. the rate of the current was kilometer per hour. how fast would raina swim if there were no current?

Answers

The speed at which raina can swim if there is no current is 3 km/hor 3 kilometers per hour.

Given that,

In the same length of time it took raina to swim kilometers with the river, she was able to swim 8 kilometers against it. The current flowed at a kilometer per hour rate.

Distance 1 * (Raina's velocity - current velocity) = Distance2 * (Raina's velocity + current velocity)

16 * (Raina's velocity - 1) = 8 * (Ivan's velocity + 1)

(16 * Raina's velocity) - 16 = (8 * Ivan's velocity) +8

8 * Raina's velocity = 24

Raina's velocity = 3 kilometers per hour

As a result, Raina can swim at a speed of 3 km/hr in the absence of a current.

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Lines m and n are parallel and are intersected by transversal p.


Which angle corresponds with angle 2?
3
5

6

8

Answers

The angle which corresponds with angle 2 given that; lines m and n are parallel and are intersected by transversal p is; angle 6.

What are corresponding angles?

Corresponding angles by definition are any pair of angles each of which happens to be on the same side of one of two lines cut by a transversal and also on the same side of the transversal.

Therefore, it follows from the definition above that the angle which is corresponding to Angle 2 as required in the task content is; angle 6.

This follows from the fact that angles 2 and 6; each happens to be on the same side of one of two lines cut by a transversal and also on the same side of the transversal.

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3² × 3 = 3² Find the value of x.​

Answers

The value of x in 3² × [tex]3^{x}[/tex] = 3² is 0.

According to the question,

We have the following information:

3² × [tex]3^{x}[/tex] = 3²

We know that when two numbers with the same base are in multiplication then the powers of the numbers are added. So, in this case, 2 will be added to x. And this expression of addition will be equal to the powers of the number on the right hand side.

Now, we have the following expression:

2+x = 2

x = 2-2

x = 0

Hence, the value of x in 3² × [tex]3^{x}[/tex] = 3² is 0.

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30°
(5y-8)°
(6x-2)°
(11x-9)
72⁰

Answers

Answer:

x = 7°y = 18°

Step-by-step explanation:

Find x:-

[tex]\sf 11x-9+72+6x-2=180[/tex]

[tex]\sf 17x+61=180[/tex]

[tex]\sf 17x=119[/tex]

[tex]\sf x=7[/tex]

Find y:-

[tex]\sf 30+11(7)-9+5y-8=180[/tex]

[tex]\sf 5y+90=180[/tex]

[tex]\sf 5y=90[/tex]

[tex]\sf y=18[/tex]

So, therefore, x = 7° & y = 18°!!

____________________

Hope this helps!

Have a great day! :)

The angles of elevation of the top of a tower with respect to points A and B are 30° and 75°respectively. Points A and B are 175 feet apart and at equal elevations, and the base of the tower lies on the line between them. Find the height of the tower. Round your final answer to the nearest ten thousandth.

Answers

The height of the tower is 87.4870 feet

What is Angle of elevation?

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

The body of the calculation is contained in the attached file.

In conclusion, the height of the tower to the nearest ten thousandth is 87.4870 feet

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Can someone please help me this is due tomorrow!

Answers

Answer:

I can use the given (algebraic expression) 24c+12 to find the total cost of the order

The expression has two (terms). They are 24c and 12

In 24c the number 24 is the (coefficient) and the letter c is the (variable).

The term 24c represents a (product)

To find the total cost of the order I can (evaluate) the given expression

I have to (substitute) the given value for the variable then I can follow the (order of operations) to simplify the expression

24c+12

24(6)+12

144+12

156

The total cost is 156

Hope this helps :)

This shows a figure.


What is the value of x?

57

63

86

95

Answers

Answer:

57

Step-by-step explanation:

Straight line is 180 degrees

x+2x+9=180

3x=171

x=171/3

x=57

pls mark as brainliest

Which answer is correct?

(A) y = 3x − 2
y = 2x + 5
(B) y = −3x + 2
y = 2x − 5
(C) y = −3x − 2
y = −2x − 5
(D)y = 3x + 2
y = −2x + 5

Answers

Step-by-step explanation:

the slow of a line is the factor of x in a "y = ..." firm of equation.

the line going through (1, 5) has a slope of 3 (when x increases by +1, then y increases by +3, so the slope y/x = 3).

(B) and (C) are out, because there is no line with slope 3 (only -3).

the line going through (-2, 9) has a slope of -2 (when x increases by 1, y decreases by 2, so the slope y/x = -2/1 = -2).

(A) is out, as there is no line with the slope -2 (only +2).

so, (D) is the correct answer.

Factor the expression
27 + 33 how do work it out

Answers

The factor of the expression 27 + 33 is 3.

What is meaning of factor?

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

Factors can be found using either division or multiplication. Rules of divisibility can also be applied.

What meaning of expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

Given expression is 27 + 33

The factors of 27 are 1, 3, 9, 27.

The factors of 33 are 1, 3, 11, 33.

The common factor of 27 and 33 is 3.

Taking common 3 from the given expression:

27 + 33 = 3 (9 + 11)

The factor of the given expression is 3.

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calculate the %cw for a sample of 1040 steel that has an original diameter of 12 mm and a final diameter of 10 mm.

Answers

The new yield strength of the 1040 steel will be the intercept on the curve for 30.56 %of cold work which is between700 to 800 MPA

Given original diameter do = 12 mm

Ao = [tex]\pi[/tex]/4 x 12² = 113.097 mm²

Deformed diameter d =10mm

Ad = [tex]\pi[/tex]/4 x 10² = 78.54 mm²

Degree of cold work %CW = (Ao - Ad/Ao)X 100

                                             =(113. 097 - 78. 54/113.097) x 100

                                             = 30.56%

% CW is 30.56 %

Therefore, the intercept on the curve for 30.56% of cold work, which is between 700 and 800 MPA, will represent the new yield strength of the 1040 steel.

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5 oranges and 14 bananas cost me $1.30 and 8 oranges and 9 bananas
cost me $1.41.

a) Represent this information as a matrix equation.


b) Find the cost of a banana and an orange.

Answers

A) The matrix equation that represents the given information is;

[tex]\left[\begin{array}{ccc}5&14\\8&9\\\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}x&\\y\\\end{array}\right] = \left[\begin{array}{ccc}1.30&\\1.41\\\end{array}\right][/tex]

B) The cost of a banana is; $0.05

The cost of an orange is; $0.12

How to create and solve a matrix equation?

A matrix equation is defined as an equation where a variable stands for a matrix .

Let x represent cost of oranges

Let y represent cost of bananas

5 oranges and 14 bananas cost me $1.30 and 8 oranges and 9 bananas

cost me $1.41. Thus, the equations are;

5x + 14y = 1.30  ----(1)

8x + 9y = 1.41   -----(2)

A) Now, the matrix form of the simultaneous equation above will be;

[tex]\left[\begin{array}{ccc}5&14\\8&9\\\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}x&\\y\\\end{array}\right] = \left[\begin{array}{ccc}1.30&\\1.41\\\end{array}\right][/tex]

B) Multiply the first equation by 8 and the second one by 5 to get;

40x + 112y = 10.4

40x +   45y = 7.05   Subtract to get;

            67y = 3.35

Divide both sides by 67 to get;

y = $0.05 per banana

Plug in 0.05 for y into eq 1 to get;

5x + 14(0.05) = 1.30

5x + 0.7 = 1.3

5x = 1.3 - 0.7

5x = 0.6

x = 0.6/5

x = $0.12

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What is an equation of the line that passes through the points (-2, -7) and
(-1, -3)?

Answers

m= (6- 3)/ (-5 -1)

2x - y + 11= 0

Answer y + 11 = 0



Explanation

An animal shelter has 2 cats for every 3 dogs. If there are 45 animals in the shelter, how many dogs are there?

Answers

Answer: 27 dogs

Step-by-step explanation: 2 cats + 3 dogs= 5 in total for animals. 2/5x45=18 cats

3/5x45= 27 dogs

27+18=45 animals

There is 27 dogs in the shelter

Trevor is a high school quarterback. On
average, out of each 16 attempts, he
completes 5 out of 8 passes and throws 1
pass that is intercepted. If Trevor passes
40 times, how many completions would
he be expected to make? (setting up proportions )​

Answers

The total number of completions Trevor  be expected to make is 25.

Define the term proportions?Proportion is mostly discussed using ratios and fractions. A fraction is written as a/b, while a ratio is represented as a:b, and a proportion implies that two ratios remain equal. In this case, a and b can be any two integers. According to the notion of proportion, two ratios are in proportion when they are equivalent. It is a formula or statement that shows that two ratios and fractions are equivalent.

For the given question.

Let the number of completion by Trevor be 'x'.

Trevor completes 5 out of 8 passes.

Total passes are 40

Then, proportions set up is-

5/8 = x/40

x = 25

Thus, the total number of completions Trevor be expected to make is 25.

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write equations for each line given the following points. Remember you must first find the slope and then determine the Y intercept, then write out the equation in slope intercept form. Remember if the Y intercept b is zero, then, there is no need to put it there, and if the slope is one, then you only need to write x, not 1 X

(-3,2) and (5,7)

Answers

The slope-intercept form of the equation of the line that passes through (-3, 2) and (5, 7) is: [tex]y = \frac{5}{8} x + \frac{1}{8}[/tex]

What is the slope-intercept form?One of the most popular ways to represent a line's equation is in the slope-intercept form of a straight line. When the slope of the straight line and the y-intercept are known, the slope-intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis). The equation of a line is the equation that each point on the line fulfills. There are several ways to solve the straight line equation given as,Slope-intercept formPoint slope formTwo-point formIntercept form

Calculation

from ( - 3, 2) and (5, 7)

slope(m)  = [tex]\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]

[tex]=\frac{7 - 2}{5 - (-3)}[/tex]

[tex]= \frac{5}{8}[/tex]

from slope-intercept equation

⇒y = mx+ c

⇒( - 3, 2) , [tex]2 = \frac{5}{8} * (-3) + b[/tex]

⇒[tex]2 = \frac{15}{8} + b[/tex]

⇒[tex]2 - \frac{15}{8} = b[/tex]

⇒[tex]\frac{16+15}{8} = b[/tex]

⇒[tex]\frac{31}{8} = b[/tex]

Therefore, the slope-intercept form of the equation of the line that passes through (-3, 2) and (5, 7) is :

⇒[tex]y = \frac{5}{8} x +\frac{31}{8}[/tex]

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The slope-intercept form of the equation of the line that passes through (-3, 2) and (5, 7) is:

What is the slope-intercept form?

One of the most popular ways to represent a line's equation is in the slope-intercept form of a straight line.

When the slope of the straight line and the y-intercept are known, the slope-intercept formula can be used to determine the equation of a line ( the y-coordinate of the point where the line intersects the y-axis).

The equation of a line is the equation that each point on the line fulfills. There are several ways to solve the straight line equation given as,

Slope-intercept form

Point slope form

Two-point form

Intercept form

from ( - 3, 2) and (5, 7)

slope(m)  = y²-[tex]y^{1}[/tex]/x²-[tex]x^{1}[/tex]

=7-(-2)/5-(-3)

=5/8

from slope-intercept equation

⇒y = mx+ c

⇒( - 3, 2) , 2=5/8*(-3)+b

⇒2=15/8+b

⇒2-15/8=b

⇒16+15/8

31/8=b

Therefore, the slope-intercept form of the equation of the line that passes through (-3, 2) and (5, 7) is :

⇒y=5/8x +31/8

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Amir want to proportionally increae the ize of a photo to create a poter for hi room. The ize of the original photo i hown. Complete the tatement and then anwer the quetion to repreent way that Amir can increae the ize of hi photo

Answers

The height of the poster is 20 inches.

The original width of the poster was 6 inches. The original height of the poster was 4 inches. The size of the poster is scaled up. This is a transformation of the size of the poster. The width of the scaled-up poster is 30 inches. We need to find out the height of the scaled-up poster.

The scaling transformation preserves the shape of the object. This means the sides must still be in the same proportion. Let the constant of proportionality be represented by the variable "k".

30 = k*6

k = 30/6

k = 5

Hence, the poster is scaled up by a factor of five.

H = k*4

H = 5*4

H = 20

Hence, the height of the scaled-up poster is 20 inches.

The complete question is given below.

Amir wants to scale up a photo to create a poster for his room. The original picture is 6 inches in width and 4 inches in height. What will be the height of the poster if its width is 30 inches?

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Halp for a cookie :) ♥ ♥❣ ❣
*Piece-Wise Defined Functions*

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

The function shown in the graph above is a discontinuous function, at x = -2

For values of x less than -2, the left side of the graph is applicable. whose equation is :

[tex]\qquad \sf  \dashrightarrow \: y - 0 = \cfrac{1 - 0}{ - 3 - ( - 2)} (x - ( - 2))[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = \cfrac{1}{ - 3 + 2} (x + 2)[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = - 1(x + 2)[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = - x - 2 \:\: ; \:\:x<-2[/tex]

For values of x greater than -2, the right side of the graph is applicable. whose equation is :

[tex]\qquad \sf  \dashrightarrow \: y - 4= \cfrac{4 - 2 }{0 - (-2)} (x -0)[/tex]

[tex]\qquad \sf  \dashrightarrow \: y - 4 = \cfrac{2}{2} (x)[/tex]

[tex]\qquad \sf  \dashrightarrow \: y - 4 = x[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = x + 4 \: \: ;\: \: x > - 2[/tex]

So, the correct choice will be Option " A "

Answer:

[tex]\textsf{A.} \quad \begin{cases}-x -2 \quad \text{if}\;x < -2\\x + 4 \quad \;\;\;\text{if}\;x \geq -2\end{cases}[/tex]

Step-by-step explanation:

When graphing piece-wise functions:

An open circle indicates the value is not included in the interval.A closed circle indicates the value is included in the interval.An arrow show that the function continues indefinitely in that direction.

From inspection of the given graph:

The equation for the line on the left side of the function has a negative slope and an x-intercept at x = -2.There is an open circle at x = -2 and the line continues to the left.
⇒  x < -2

The equation for the line on the right side of the function has a positive slope and a y-intercept at y = 4.There is a closed circle at x = -2 and the line continues to the right.
⇒  x ≥ -2

Therefore, the definition of the function is:

[tex]\begin{cases}-x + a \quad \text{if}\;x < -2\\x + 4 \quad \;\;\;\text{if}\;x \geq -2\end{cases}[/tex]

where a is some constant.

The only answer option that matches the given parameters is option A.

If two fair dice are rolled, find the probability that the sum of the dice is 9, given that the sum is greater than 3.
The probability is

Answers

The probability that the sum of the dice is 9 is, 4/33.

What is dice?

Dice are little, thrown-away devices with marked sides that can rest in various locations. They are frequently employed in tabletop games including dice games, board games, role-playing games, and games of chance to provide random values.

Let two fair dice are rolled.

So the possible number of outcomes are,

(1, 1)  (1, 2)  (1, 3)  (1, 4)  (1, 5)  (1, 6)

(2, 1)  (2, 2)  (2, 3)  (2, 4)  (2, 5)  (2, 6)

(3, 1)  (3, 2)  (3, 3)  (3, 4)  (3, 5)  (3, 6)

(4, 1)  (4, 2)  (4, 3)  (4, 4)  (4, 5)  (4,6)

(5, 1)  (5, 2)  (5, 3)  (5, 4)  (5, 5)  (5, 6)

(6, 1)  (6, 2)  (6, 3)  (6, 4)  (6, 5)  (6, 6)

There are total 36 outcomes.

There are 33 outcomes with sum greater than 3.

The outcomes with sum greater than 9 are, 4 which are (3, 6), (4, 5), (5, 4) and (6, 3).

Hence, the probability that the sum of the dice is 9 is, 4/33.

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Please show all work

Answers

The volume of the composite solid is 340.4 cubic inches

How to calculate the volume of the composite solid

The composite solid is made up of two parts one has

uniform height varying height

The volume for the uniform height  

= base area * height

base area = 0.5 base * height = 0.5 * 8 * 6.9 = 27.6

= 27.6 * 10

= 276 cubic inches

The volume for the varying height

= 1/3 base area * height

base area = 27.6 (both share same base)

= 1/3 * 27.6 * 7

= 64.4 cubic inches

The total volume

= 276 + 64.4

= 340.4 cubic inches

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Solve:

2000(2000^2000)


(A) 2000^2001

(B) 4000^2000

(C) 2000^4000

(D) 4,000,000^2000

(E) 2000^4,000,000

PLEASE ANSWER ASAP!!!

Answers

Answer:

They all come out to be infinity

how to solve/fhfhfhfhfhfhf

Answers

Answer:

b

Step-by-step explanation:

the right side base angle and 80° are vertically opposite angles and are congruent, both 80°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

123° is an exterior angle of the triangle , then

x + 80 = 123 ( subtract 80 from both sides )

x = 43

Double points. Please help!

Answers

do 9/tan(24)
which equals 20.21433097
or 20.2 to 1 dp

i need help please!!! i dont know​

Answers

The locations of the destinations given by the angles formed between parallel lines and their common transversal in the question are;

1) US Capitol

2) CIA Building

3) US Capitol

4) US Treasury

5) Walmart

What are the relationships between the angles formed by parallel lines that have a common transversal?

The relationship between the angles formed are;

Corresponding angles are congruentSame side interior angles are supplementaryAlternate interior angles are congruentAlternate exterior angles are congruentVertical angles are congruent

1) The location that is at a corresponding angle to the White House is the Supreme Court

The location at the vertical angle to the Supreme Court is the Smithsonian Institute

The location that is at the angle right adjacent to the Smithsonian Institute is the US Capitol

The destination location is the US Capitol

2) The location that is vertical angles to the FBI Building is the National Zoo

The same side interior angle to the National Zoo is the National Coffee shop

The location at the alternate interior angle to the National Coffee Shop is the CIA Building

The location is the CIA Building

3) The location at the alternate exterior angles to Lincoln Memorial is Walmart

The adjacent location that is a right angle to Walmart is the White House Gardens

The location that is at the corresponding angle to the White House Gardens is the US Capitol

The location is the US Capitol

4) The location that is at the corresponding angle location to the Smithsonian Institute is the National Zoo Gift Shop

The location that is at the same side interior angle to the national gift shop is the US Capitol

The location that is at the vertical angle location to the US Capitol is the US Treasury

The current location is the US Treasury

5) The location that is at alternate interior angle location to the Ford's theater is the US Capitol.

The location that is supplementary with the Vietnam War Memorial and the National Zoo is the National Coffee Shop

The location at the angle that is vertical from the National Coffee Shop is the Lincoln  Memorial

The location that is at alternate exterior angle with the Lincoln Memorial is Walmart

The location is Walmart

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Directions: Match the situation provided to the correct equation/inequa
Situation:
Wyatt is saving up
money for a new
game. It costs $60,
including tax. He has
already saved $20.
At least how much
more money, X,
does he need to
save?
Inequality/Equation:
Innquality/Equation:
Solution
Graphed Solution:
Solution

Answers

The equation can be given as X+20 = 60

Wyatt needs to save $40 to buy the new game.

What is an equation?

An equation is an expression which has an equality symbol in it.

We are given that, Wyatt is saving up money for a new game. It costs $60,

including tax.

He has already saved $20. At least how much more money, X, does he need to save

Hence the equation can be given as

X + 20 = 60

On solving the equation X = 40

Hence Wyatt needs to save $40 to buy the new game

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Nick bought a new car.
Each year the car depreciates in
value by 12%.
Work out the number of years it takes for the car to half in value.

Answers

car decreases in value by 12% per year:

1 year = 12%
4 years = 48%
5 years = 60%
per month = 1%

answer: it will take 4 years and 2 months for the car to half in value

A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing an additional cost for each book printed. The total production cost C (in dollars) is given by the function C=650+17.95N, where N is the number of books.
The total revenue earned (in dollars) from selling the books is given by the function R=31.90N.
Let P be the profit made (in dollars). Write an equation relating P to N. Simplify your answer as much as possible.
P = ?

Homework help lolol

Answers

Answer: 67

Step-by-step explanation:

do the math

There are approximately 420 national parks in the United States. A survey
showed that 85% of the national parks allow overnight camping. Based on
this information, how many national parks allow overnight camping?

Answers

Just use a calculator and type
420 times .85

Answer:

357 national parks

Step-by-step explanation:

420x85/100

420x17/20

21x17=

357

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