Question 1 (2 points)
Jeff is purchasing a car for $29,175 that will depreciate in value 7.5% each year.
Write a function to model the value P of the carafter t years,
If he decides to sell the car after 6 years, what will be the value of his car? Express your answer as a decimal rounded to the nearest hundredth.

Answer:

Yes,it is a right triangle

Step-by-step explanation: use pythagorean theorem: 4.5^2+6^2=7.5^2

The measure 4.5 inches, 6 inches and 7.5 inches together form a triangle.

A triangle is a three-sided polygon that consists of three edges and three vertices.

To determine whether the triangle formed by joining the straws will be a right triangle

we need to check if it satisfies the Pythagorean theorem

Let us assume that the 7.5-inch straw is the hypotenuse of the triangle. We need to check whether the sum of the squares of the other two sides (4.5 inches and 6 inches) is equal to the square of the hypotenuse (7.5 inches).

Using the Pythagorean theorem, we have:

7.5² = 4.5² + 6²

56.25 = 20.25 + 36

56.25 = 56.25

The sum of the squares of the two shorter sides is equal to the square of the longest side.

The triangle formed by joining the 4.5-inch, 6-inch, and 7.5-inch straws satisfies the Pythagorean theorem and is therefore a right triangle.

Hence, the measure 4.5 inches, 6 inches and 7.5 inches together form a triangle.

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Answer:

144 i multiplied 12x12=144

Step-by-step explanation:

Answer:

The standard form of a linear equation is Ax + By = C

.

Step-by-step explanation:

Answer:

Volume of a cylinder: V = π * r² * h ,

Base surface area of a cylinder: A_b = 2 * π * r² ,

Lateral surface area of a cylinder: A_l = 2 * π * r * h ,

Total surface area of a cylinder: A = A_b + A_l ,

Step-by-step explanation:

So, when the radius is tripled, the volume will be 3 squared = 9 times than the previous one.

Answer:

602.88 in^3

Step-by-step explanation:

3.14 * 4^2 * 12

3.14 * 16 * 12

50.24 * 12

(50 * 12) + (0.24 * 12)

600 + 2.88

602.88 in^3

Answer:

7.83 repeating

Step-by-step explanation:

Cal’s

Answer: I think it’s y = mx+b?

Step-by-step explanation: well if you really need it-

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

8EWHFSCKJYFCHBDCFAESSREDSEREDSEEEEEEEEJDUJEURYRHDNCX  NX NNDND

Answer:

The translation 3 units down and 5 units to the left

Step-by-step explanation:

Graph of |x| is the one starting in the origin and the other one is the other picture

Answer:  TWO

Step-by-step explanation: I promise I did this before

Answer:

A. and C.

Step-by-step explanation:

Three kinds of rigid transformations needed are horizontal translation, dilation and vertical translation to obtain f(x) = 7 · |x - 9| - 11.

In this problem we must find what kind of rigid transformations are done on the parent absolute value function to obtain the function g(x) = 7 · |x - 9| - 11. Rigid transformations are transformations applied on functions such that their Euclidean distances are conserved. There are several forms of rigid transformations:

After a quick inspection, we find that the final function is the result of horizontal translation, dilation and vertical translation:

Horizontal translation

f'(x) = |x - 9|

Dilation

f''(x) = 7 · |x - 9|

Vertical translation

f(x) = 7 · |x - 9| - 11

Three kinds of rigid transformations needed are horizontal translation, dilation and vertical translation to obtain f(x) = 7 · |x - 9| - 11.

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Answer:

The fourth answer: A person's weight, w, on the moon is 1/6 her weight on Earth, e.

Step-by-step explanation:

The equation must be translated carefully into word form.

Her weight on Earth is represented by e.

"e x 1/6" into "1/6 her weight on Earth, e"

Her weight on the moon is represented by w.

"= w" into "A person's weight, w, on the moon is"

Another way to translate: 1/6 of a person's weight on Earth, e, is equal to her weight on the moon, w.

I hope this helped :)

Answer:

Hope this helps.

Step-by-step explanation:

Answer:

[tex]x+y=13\\10x+9y=122[/tex]

Jose worked on washing cars for 5 hours and on walking dogs for 8 hours.

Step-by-step explanation:

Given that:

Jose works for two summer jobs.

Earnings per hour by the first job i.e. by washing cars = $10

Earnings per hour by the second job i.e. by walking dogs = $9

Total number of hours worked = 13 hours (30 hours does not give us proper answer, it must be 13)

Total money earned = $122

To find:

System of equations to find the number of hours that Jose worked on each job?

Solution:

Let number of hours worked on washing cars = [tex]x[/tex] hours

Let number of hours worked on walking dogs = [tex]y[/tex] hours

As per the question statement, we can write the following system of equations:

[tex]x+y=13 ..... (1)\\10x+9y=122 ...... (2)[/tex]

Let us use the Elimination method to find the values of [tex]x[/tex] and [tex]y[/tex].

Multiplying the equation (1) by 10 and then subtracting the equation (2) from it:

[tex]y = 130 - 122 = 8\ hours[/tex]

Using the equation (1):

[tex]x = 5[/tex] hours

Therefore, Jose worked on washing cars for 8 hours and on walking dogs for 5 hours.

Divide both sides by the numeric factor on the left side, then solve.

x = 2

Answer:

(0.16d - 10) dollars

Step-by-step explanation:

"Harry earned d dollars mowing lawns. He put 20% of his earnings in the bank and paid back $50.00 to his father."

Start with d dollars.

He put 20% of d dollars in the bank. 20% of d is the same as 0.2d.

Now he has d - 0.2d = 0.8d

He paid his father $50.

Now he has 0.8d - 50

"He spent  one-fifth of the remaining money on a video game. Which expression represents the amount he spent on the video game?"

He spent 1/5 of 0.8d - 50 on a video game, so he spent on the video game:

1/5 * (0.8d - 50) = 0.16d - 10

Answer: 0.16d - 10 dollars

(You forgot the "d" in the answers."

(0.16d - 10) dollars

have an nice day

Answer:

[tex]m=\frac{7}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-4, 19)

Point (4, 9)

Step 2: Find slope m

Answer:

I think your answer would be C. between k and L

Answer:

I don't know for sure but i think it is:

C Between K and L

Step-by-step explanation:

Answer:

if she makes all of them

Step-by-step explanation:

Answer:

$47.85

Step-by-step explanation:

you multiply.

Answer:

$47.85

Step-by-step explanation:

Calculator

Answer:

she saved 6$ because 15% off 40=34 40-34=6

Answer:

20

Step-by-step explanation:

note that

(a - b)² = a² + b² - 2ab , thus

a² + b² - 2ab = (a - b)² ( add 2ab to both sides )

a² + b² = (a - b)² + 2ab = 4² + 2(2) = 16 + 4 = 20

Using linear functions, it is found that both snowman's will have the same height of 21 inches after 5 hours.

A linear function is modeled by:

y = mx + b

In which:

For this problem, we have that:

Hence the functions are given as follows:

They will have the same height when:

A(t) = B(t)

51 - 6t = 36 - 3t

3t = 15

t = 5.

The height will be of:

B(3) = A(3) = 51 - 6(5) = 21 inches.

Both snowman's will have the same height of 21 inches after 5 hours.

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Answer:

15.0

Step-by-step explanation:

Square root entire equation (-8 - 7)^2 + (-5 + 4)^2

Answer:

Step-by-step explanation:

(X,y) (x-6, y+4)

The transformation rule for the new  ΔR'S'T' is  (x, y) →  (x - 6, y + 4). The correct option is (c).

The graph of a function can be transformed by either shifting it in the right, left, up or down.

When the transformation is rightwards, the function becomes as f(x - a).

For left shifting it is f(x + a).

The given problem can be solved by using the rule of transformation as follows,

For the translation of 6 units left and 4 units up, it can be written as,

Suppose the coordinate of a vertex of ΔRST be given as (x, y).

Then, as per the rule the new coordinate of ΔR'S'T' is (x - 6, y + 4).

Hence, rule that best describes the transformation given in the problem is (x, y) →  (x - 6, y + 4).

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54  pages are needed to hold all of his cards , if  Ricky has 648 baseball cards he wants to put them in an album if each page of the album holds 12 cards

Ricky has 648 cards , and each page of the album holds 12 cards. Which means, if each page holds 12 cards; One page will hold 12 cards, the second page, another 12 cards and so on.

Hence, 2 pages will hold 12+12 cards which is 24 cards. 3 pages will hold, 12+12+12 = 36 cards

Now, to get how much pages will hold 648 cards, we divide 648 by 12

648/12= 54 pages

Hence, if  Ricky has 648 baseball cards he wants to put them in an album if each page of the album holds 12 cards then 54  pages are needed to hold all of his cards

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Using translation concepts, the graph of g(x) = 3x² + 1 is given at the end of the answer.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, we have that the parent function is:

f(x) = x².

The shifted function is:

g(x) = 3x² + 1.

The transformations are given as follows:

In the graph at the end of the answer, both functions are shown, with f(x) in red and g(x) in blue.

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