Terrance buys a new car for $20,000. The value of the car depreciates by 15% each year. If f(x) represents the value of the car after x years, which function represents the car’s value?

Answer:The distance formula itself is actually derived from the Pythagorean Theorem which is a 2 + b 2 = c 2 {a^2} + {b^2} = {c^2} a2+b2=c2

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

slope = y2-y1/x2-x1

1 -3 . 3 1

(1 - (-3))/(3-1)

4/2

2

Slope = 2

y = mx + b

y = 2x -5

Answer:

exponential function

Step-by-step explanation:

Answer: A on Edge 2020

Step-by-step explanation: I'm super late on this, but this is the answer. Hopefully this helps those that come after me

Answer:

a

Step-by-step explanation:

what do you meanAnswer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Did the 2020 edge quiz

Answer:

7/8 decimal form: 0.875

Step-by-step explanation:

28        4

----   ÷   ----   = 7/8

32        4      

Answer:

21a

Step-by-step explanation:

yes they are equal.. all you need is just to add all the number to get your answer!

Answer:

21a

Step-by-step explanation:

because ,

4a+4a+3a =11a

and 7a+3a=10a

and they are equal so what you need is that

just to add them and for maths (and) means addition ..... so therefore the answer is 21a

Ok, first subtract five so we have a more straight number to work with, 28, then divide 28 by 2 to get 14, so there are 14 students in her class.

Hope this helps, if not, comment below please!!!

Answer:

The answer is 14.

Step-by-step explanation

33-5=28

28/2=14

Answer:

d)

Step-by-step explanation:

the answer would be d) because complementary angles equal 90 and, it said that angles d) and a) are complementary. well it would be false since d=125 and obviously angle a) would also be 125 since they are vertical angles

Answer:

  $2159.07

Step-by-step explanation:

The compound interest formula is used to find the balance for the $1000 investment:

  A = P(1 +r/n)^(nt)

  A = 1000(1 +.012/12)^(12·10) = 1000·1.001^120 ≈ 1127.43

__

For a 2% loss, the multiplier of the investment value is 1-.02 = 0.98. The value of the first $500 investment is ...

  A = 500(1 -.02) = 490.00

__

The continuous compounding formula is used for the second $500 investment.

  A = Pe^(rt)

  A = 500e^(.008·10) = 500e^.08 = 541.64

__

The total value of Albert's investments is ...

  $1127.43 +490 +541.64 = $2159.07

1/9 pints of milk can be added by a customer

Step-by-step explanation:

We have to subtract simple fractions to find the amount of milk that can be added to a cup of coffee

Given

Total Capacity of a cup = 7/9 pints

Coffee to be added in a cup = 2/3 pints

So in order to find the amount of milk that can be added we have to subtract the amount of coffee from the total capacity of cup.

So,

[tex]Amount\ of\ milk = \frac{7}{9} - \frac{2}{3}\\=\frac{7-6}{9} = \frac{1}{9}[/tex]

Hence,

1/9 pints of milk can be added by a customer

Keywords: Fractions, addition

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Amount of milk add by customer is 1/9 pint of liquid

Given that;

Holding capacity of cup = 7/9 pint of liquid

Liquid fill by Emily = 2/3 pint of liquid

Find:

Amount of milk add by customer

Computation:

Amount of milk add by customer = Holding capacity of cup - Liquid fill by Emily

[tex]Amount\ of\ milk\ add\ by\ customer = \frac{7}{9} - \frac{2}{3}\\\\Amount\ of\ milk\ add\ by\ customer = \frac{7-6}{9}\\\\Amount\ of\ milk\ add\ by\ customer = \frac{1}{9}\\\\[/tex]

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Answer:

greater

Step-by-step explanation:

Answer:

13.42

Step-by-step explanation:

1. Slope of given line = -1/2

2. Slope of line parallel to given line = -1/2

3. Slope of line perpendicular to given line = 2

Step-by-step explanation:

1. Slope of Given line:

We can see that there are two points on the line(highlighted by dots)

Let the two points be (x1,y1) and (x2,y2)

Then

(x1,y1) = (2,2)

(x2,y2) = (-2,4)

The formula for slope is given by:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Putting the values

[tex]m = \frac{4-2}{-2-2}\\m = \frac{2}{-4}\\m = -\frac{1}{2}[/tex]

Hence, the slope of given line is -1/2

2. Slope of line parallel to given line

Let [tex]m_1[/tex] be the slope of the line parallel to given line.

The slopes of two parallel lines are equal as they change at same rate with respect to x-axis.

So,

[tex]m = m_1\\-\frac{1}{2} = m_1[/tex]

Hence,

The slope of line parallel to given line will also be -1/2

3. Slope of line perpendicular to given line:

Let m_2 be the slope of line perpendicular to given line

The slope of line perpendicular to a given line is the negative reciprocal of the slope of first line or simple it can be put like " The product of slopes of two perpendicular lines is -1"

So,

[tex]m.m_2 = -1\\-\frac{1}{2}.m_2 = -1\\m_2 = -1 * -2\\m_2 =2[/tex]

Hence,

The slope of line perpendicular to given line is: 2

Keywords: slope, parallel lines

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Answer:

y = 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 2) ← coordinates of intercepts

m = [tex]\frac{2-0}{0+1}[/tex] = 2

Note the line crosses the y- axis at (0, 2) ⇒ c = 2

y = 2x + 2 ← equation of line

a. P(G1 and G2) = 0.154 b. P(At least 1 green) = 0.592 c. P(G2|G1) = 19/49

d. G1 and G2 are not independent

Let's assume we are drawing cards from a deck without replacement.

There are two possibilities for the first card drawn (G1):

The first card drawn is green (G1).

The first card drawn is not green (Non-G1, which means it's either red or blue).

a. P(G1 and G2) = P(G1) * P(G2|G1)

Since we are drawing without replacement, after drawing a green card for G1, there is one less green card in the deck. Therefore:

P(G1) = Number of green cards / Total number of cards = 20/50 = 2/5

P(G2|G1) = Number of green cards remaining / Total number of cards remaining = 19/49

So, P(G1 and G2) = (2/5) * (19/49) ≈ 0.154

b. P(At least 1 green) = 1 - P(no green cards) = 1 - P(non-G1 and non-G2)

P(non-G1) = Number of non-green cards / Total number of cards = 30/50 = 3/5

P(non-G2|non-G1) = Number of non-green cards remaining / Total number of cards remaining = 29/49

P(no green cards) = P(non-G1) * P(non-G2|non-G1) = (3/5) * (29/49)

So, P(At least 1 green) = 1 - P(no green cards) = 1 - (3/5) * (29/49) ≈ 0.592

c. P(G2|G1) = Number of green cards remaining / Total number of cards remaining = 19/49

d. No, G1 and G2 are not independent because the outcome of drawing the first green card (G1) affects the probability of drawing a green card in the second draw (G2). The conditional probability P(G2|G1) is not equal to the unconditional probability P(G2).

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The value of the probabilities are: a) P(G1 and G2) =0.3182, b) P(At least 1 green) = 0.8485,c)  P(G2|G1) = 0.5455 and d) G1 and G2 dependent.

Given:

Total number of cards = 7 (green) + 5 (yellow)

                                     = 12 cards

a. Since the cards are drawn without replacement, the probability can be calculated as:

P(G1 and G2) = P(G1) * P(G2|G1)

P(G1) = Number of green cards / Total number of cards

        = 7 / 12

or, P(G2|G1) = Number of remaining green cards / Total remaining cards

                    =6/11

So, P(G1 and G2) = (7 / 12) * (6 / 11)

                            = 0.3182

b. P(At least 1 green) = 1 - P(Both yellow)

P(Both yellow) = P(Yellow1) * P(Yellow2|Yellow1)

P(Yellow1) = Number of yellow cards / Total number of cards

                 = 5 / 12

P(Yellow2|Yellow1) = remaining yellow cards / Total remaining cards

                               = 4 / 11

So, P(Both yellow) = (5 / 12) * (4 / 11)

                               = 0.1515

Therefore,

P(At least 1 green) = 1 - 0.1515

                               = 0.8485

c. Since one green card has already been drawn, there are now 6 green cards and 11 cards in total remaining:

P(G2|G1) = Number of green cards / Total remaining cards

              = 6 / 11

              = 0.5455

d. In this case, G2|G1 is not equal to the overall probability of G2.

This indicates that the events are dependent, as the probability of drawing a green card for the second draw changes based on the outcome of the first draw.

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Answer:

x = 1 y = 2

Step-by-step explanation:

5x - 4y = -3

5x - 4 (-3x + 5) = -3

5x + 12x - 20 = -3

17x - 20 + 20 = -3 + 20

17x = 17 ÷ 17

x = 1

y = -3x + 5

y = -3 (1) + 5

y = -3 + 5

y = 2

Final answer:

Tyrique spends 2/3 of each weekend awake, which is 32 hours out of the total 48 hours. This translates to 66.67% of the weekend.

Explanation:

Tyrique calculates that he sleeps for 16 hours out of a 48 hour weekend, which means he sleeps for 1/3 of the weekend. To calculate the fraction of the weekend he spends awake, we subtract the sleeping fraction from the whole.

Total hours in a weekend: 48 hours

Sleeping hours: 16 hours

Awake hours: 48 hours - 16 hours = 32 hours

Now, we convert 32 hours to a fraction of the weekend.

Awake fraction: 32 hours / 48 hours = 2/3 of the weekend

Next, we convert this fraction to a percentage.

Awake percentage: (2/3) × 100 = 66.67%

Therefore, Tyrique spends 2/3 of each weekend awake, which is equivalent to 66.67% of the weekend.

Answer:

42

Step-by-step explanation:

You change 1/2 to 3/6

1/2=3/6

Then, you take 3-1=2 to find the difference

Next, as you found out that 2 units equals to 14, you take 14÷2=7

As there are 6 units, you take 7×6=42

Thus, the answer 42

Answer:

42

Step-by-step explanation:

Let total no. of trees be 'X'

Lemon are (1/6) of X = X/6

Orange are (1/2) of X = X/2

Difference is 14

X/2 - X/6 = 14

Lcm is 6

(3X-X)/6 = 14

2X = 14×6

X = 42

Answer:

The answer is 49 because -(-7)×7 =7×7 = 49

Yo sup??

-(-7)7

=(-1)*(-1)*7*7

=1*49

=49

Hope this helps.

Answer:

A. -x^2-13x+15

Step-by-step explanation:

-4x^2 + 3x^2 = -x^2

-8x + -5x = -13x

6 + 9 = 15

-x^2-13x+15

Answer:

7.87

Step-by-step explanation

Divide

Answer: 26.6

Step-by-step explanation: To solve this problem, let's ignore the first  2 words which are "what is."

So, we can really change the problem to say 70% of 38.

To find 70% of 38, first write 70% as a decimal by moving the decimal point 2 places to the left to get .70.

Next, the word "of" means multiply, so we have (.70)(38) which is 26.6.

So 70% of 38 is 26.6.

Answer:

B

Step-by-step explanation:

the others wouldn't make seans

There are 12 first class passengers and 40 tourist class passengers on the flight from Dallas to Austin.

Let's define the number of first class passengers as x and the number of tourist class passengers as y.

We can set up the following system of equations based on the given information:
The total number of passengers: x + y = 52
The total revenue from passengers: 30x + 25y = 1360

We can solve this system of linear equations,
y = 52 - x
30x + 25(52 - x) = 1360
30x + 1300 - 25x = 1360
5x + 1300 = 1360
5x = 60
x = 12

So, there are 12 first class passengers.
Using y = 52 - x, we find:

y = 52 - 12 = 40

Thus, there are 40 tourist class passengers.

Final answer:

The first polynomial is a quartic polynomial of degree 4, while the second polynomial is not a polynomial due to a term with a negative exponent.

Explanation:

First, let's state the degree and identify the term with the greatest degree.

So, in summary:

1. 7x^4 + 5x^2 + x - 9 is a polynomial of degree 4.

2. 7x^6 - 4x^3 + 1/x is not a polynomial because it contains a term with a negative exponent.

Answer:

The value of the constant is 3

Step-by-step explanation:

Let

y ----> the height

x ----> the width

we have

[tex]y=kx[/tex]

This is the equation of a linear direct variation

The equation of the line passes through the origin

we have the points

(0.5,1.5), (2,6) and (3,9)

see the attached figure to better understand the problem

Find the value of the constant of proportionality k

[tex]k=\frac{y}{x}[/tex]

For (0.5,1.5) ----> [tex]k=\frac{1.5}{0.5}=3[/tex]

For (2,6) ----> [tex]k=\frac{6}{2}=3[/tex]

For (3,9) ----> [tex]k=\frac{9}{3}=3[/tex]

therefore

The value of k is equal to 3

The linear equation is

[tex]y=3x[/tex]

or

[tex]Height=3Width[/tex]

Answer:

I had done this on A P E X and it said it was 80

Answer:d=5/3x

Step-by-step explanation:

Let's solve for d.

(2/3x)(d)=10/9

Step 1: Divide both sides by (2x)/3.

2/3dx / 2x/3=10/9 / 2x/3

d=5/3x

To find the value of d in the equation 2/3 * d = 10/9, multiply both sides by the reciprocal of 2/3. The value of d is 5/3 or approximately 1.67.

To solve the equation 2/3 * d = 10/9 for d, we can start by multiplying both sides of the equation by the reciprocal of 2/3, which is 3/2. This gives us:

d = (10/9) * (3/2) = 30/18 = 5/3

Therefore, d = 5/3 or d ≈ 1.67.

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Answer:

the container can hold 84.82 inches of food.

Step-by-step explanation:

radius = 3 in

height = 9 in

Volume of a cone = 1/3πr²h

                              = 1/3π(3)²(9)

                              = 27π in³

                             = 84.82 in

I hope this help!

brainliest is appreciated... :}

Answer:

It’s 27 if your talking about I-ready

Step-by-step explanation:

Answer: The perimeter is 96 m

Step-by-step explanation:

If we tag the length of the rectangle as [tex]l[/tex] and the width as [tex]w[/tex], and if in addition we are told [tex]l=5 w[/tex],the dimensions of the rectangle are as shown in the figure.

Now, the area of a rectangle is given by:

[tex]A=(l)(w)=320 m^{2}[/tex]

Since [tex]l=5 w[/tex]:

[tex]A=(5w)(w)=320 m^{2}[/tex]

Isolating [tex]w[/tex]:

[tex]5w^{2}=320 m^{2}[/tex]

[tex]w=\sqrt{\frac{320 m^{2}}{5}}[/tex]

[tex]w=8 m[/tex]

On the other hand, the perimeter of a triangle is given by the addition of each of its sides. Then, if the rectangle has two sides that measure [tex]w[/tex] and two sides that measure [tex]5 w[/tex], the perimeter is:

[tex]P=2(5)(w)+2w[/tex]

Substituting the value of [tex]w[/tex] in the last equation:

[tex]P=2(5)(8 m)+2(8 m)[/tex]

Finally the perimeter is:

[tex]P=96 m[/tex]

Final answer:

The perimeter of the rectangle is determined by first finding the width using the area given, then calculating the length as five times the width and using the formula P = 2l + 2w. The perimeter is 96 meters.

Explanation:

To solve for the perimeter of the rectangle when we know the area is 320m² and the length is five times the width, we first let w represent the width of the rectangle. Therefore, the length is 5w. Given that the area A is equal to the length times the width, we have the equation w × 5w = 320. Solving for w, we get w² = 64 so w = 8 meters.

Since the length is five times the width, it is 5 × 8 = 40 meters. The perimeter P of a rectangle is given by P = 2l + 2w, where l is the length and w is the width. Substituting the values we have, P = 2(40) + 2(8) = 96 meters.

Answer:

14

Step-by-step explanation:

highest temperature = 6°c

lowest temperature = -8°c

difference = 6-(-8)

14

The difference between the lowest temperature of -8°C and the highest temperature of 7°C is 15°C.

The difference between the lowest temperature and the highest temperature is found by subtracting the lowest temperature from the highest temperature listed in the data. According to the given temperatures, the lowest temperature is -8°C at 4 am and the highest temperature is 7°C at noon. To find the difference, we calculate 7°C - (-8°C), which equals 15°C. Thus, the temperature range is 15°C.

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