A tractor costs $20000 and depreciates in value by 15% per year. how much will the tractor be worth after 5 years?

Triangle RST is reflected across the x-axis and translated 5 units to the left to form triangle R"S"T"

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Triangle RST is reflected across the x-axis and translated 5 units to the left to form triangle R"S"T"

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Answer: Hope this helps you!

3

Step-by-step explanation:

9 (total amount) - 6 (1 part of it) = 3 (the other part of it)

Brainliest?

The graph third represents the provided situation first line increases and then constant then again increases and becomes constant.

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

We have:

Keisha ran to swim practice but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes, and together they ran the rest of the way to practice, where they stayed for 1 hour.

Based on the information given we can say graph third represents the situation.

First Keisha ran to swim practice so the line first increases and then she  but needed to stop by her friend Natasha’s house on the way. She stayed at Natasha’s house for 15 minutes which means the line should be constant.

Again they both ran so line increases.

Then they both stayed for 1 hour, so the line should be constant.

Thus, the graph third represents the provided situation first line increases and then constant then again increases and becomes constant.

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The probability that Wesley draws an ace or a jack is 0.154 and the probability that Wesley draws a number card or a black card is 0.846

In a standard deck of cards, we have:

Total = 52

Ace = 4

Jack = 4

Ace and Jack = 0

The probability is then calculated as:

P = P(Ace) +P(Jack) - P(Ace and Jack)

This gives

P = 4/52 + 4/52 - 0/52

Evaluate

P = 0.154

Hence, the probability that Wesley draws an ace or a jack is 0.154

In a standard deck of cards, we have:

Total = 52

Number card  = 36

Black = 26

Number card and Black = 18

The probability is then calculated as:

P = P(Number card) +P(Black card) - P(Both)

This gives

P = 36/52 + 26/52 - 18/52

Evaluate

P = 0.846

Hence, the probability that Wesley draws a number card or a black card is 0.846

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Answer: my guess is 4/13 and 11/13

Step-by-step explanation:

sorry if im wrong

Answer:

This assumes the question should read:

"The average of 5 girls is 16 [not 6] yrs. the average of 4 of them is 16½. what is d age of d fifth gal​

The age, d, is 14 years.

Step-by-step explanation:

When the girl with age d is not included, the average goes up to 16.5 years.   Let's define GroupA as the sum of the ages of the 4 girls whose average age is 16.5 years.  d is the age of the girl that is removed from the average.

We know that all the girls (GroupA + d) have an average age of 16 years:

(GroupA + d)/5 = 16 years  [Add the ages for all the girls (GroupA and d) and divide by 5 to obtain the average age for the larger group].

We know that when d is removed, the average for the 4 remaining girls (GroupA) is 16.5 years:

(GroupA)/4 = 16.5 years

This tells us the sum of the ages for GroupA:

GroupA = 4*(16.5)

GroupA total = 66 years

From above:       (GroupA + d)/5 = 16 years

Since GroupA = 66 years,    (66 years + d)/5 = 16 years

(66 years + d) = 90 years

d = 14 years

[tex] \rm \: {2x}^{2} + x - 6[/tex]

[tex] \rm \: {2x}^{2} + 4x - 3x - 6[/tex]

[tex] \rm \: {2x} \times (x + 2)- 3x \times (x + 2)[/tex]

[tex] \rm \: (x + 2) \times (2x - 3)[/tex]

Answer:The entire area would be 12 square meters.

Step-by-step explanation:

2 x 6 square meters =  12 square meters. which is the entire area.

Answer:15

Step-by-step explanation:

A ladder is resting against a wall.The top of the ladder touches the wall at a height of 9 feet.Find the length of the ladder if the length is 3 feet more than its distance from the wall.

Let the distance of the ladder from the wall be x

The length of the ladder = x+3

The ladder touches the wall at a vertical height of 9 feet.

(x+3)^2 = x^2 + 9^2 ( using the pythagoras theorem

x^2 + 6x+ 9 = x^2 + 81

x^2- x^2 +6x = 81-9

6x= 72

x= 12

Therefore the length of the ladder will be x+3 = 12 + 3 =15 Answer.

This is not the line of best fit because the line is not through the middle of the data points.

What is line of best fit?

The line of best fit is a line through a scatter plot of data points that best expresses the relationship between those points.

In this case, this is not the line of best fit because the line is not through the middle of the data points.

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Answer: No the expressions are not equal

Work Shown:

3² = 3*3 = 9

3³ = 3*3*3 = 27

3²+3³ = 9+27 = 36

3⁵ = 3*3*3*3*3 = 243

The 3²+3³ = 36 doesn't match up with 3⁵ = 243

Therefore, the two expressions are not equal.

Answer:

Step-by-step explanation:

No, the expressions are not equal.

3^2 + 3^3 = 9 + 27 = 36

3^2 * 3^3 = 3^5

keep the base the same and add the exponents

Answer:

3/16 of the whole pie

Step-by-step explanation:

Lexi had 3/4 of an apple pie. She gave 1/4 of it to Julie. That means what Julie receives is the product of the whole and the portion.

==========================================================

Solving :

Therefore, the equation is :

⇒ 3/4 × 1/4

⇒ 3/16 of the whole pie

Answer:

y = 56/3

Step-by-step explanation:

Distribute:

37 - (y - 19) = 2y

37 - y + 19 = 2y

Add the numbers:

37 - y + 19 = 2y

56 - y = 2y

Rearrange the terms:

56 - y = 2y

-y + 56 = 2y

Solution:

y = 56/3

Answer:

b; [5]

Step-by-step explanation:

i took the quiz

Using the circle theorems, the value of z is 45

From the question, we are to determine the value of z

From the given information,

KM is a diameter

∴ ∠KLM = 90° (Angle in a semicircle)

Also, ΔKLM is isosceles

∴ ∠KML = ∠MKL (Base angles of an isosceles triangle)

Then,

∠KML + ∠MKL + ∠KLM = 180° (Sum of angles in a triangle)

2× ∠KML + 90° = 180°

2× ∠KML = 180° - 90°

2× ∠KML = 90°

∠KML = 90°/2

∠KML = 45°

Now, we can observe that

z° = ∠KML (Angles in alternate segment)

But,

∠KML = 45°

∴ z = 45

Hence, the value of z is 45

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Answer:

1. P(2 or 4) - 2/3

2. P(multiple of 2) - 1

3. P(multiple of 3) 1/3

4. P(odd prime numbers) 0

Step-by-step explanation:

Good luck lol

P(2 or 4) = 2/3

P( multiple of 2) = 1

P( multiple of 3) = 1/3

P(odd prime numbers) = 0

Probability is the likelihood of an event happening or not.

Analysis:

possible outcome = (2,2,4,4,6,6) = 6

P(2 or 4)

n( 2) = required outcome = (2,2) = 2

P(2) = 2/6 = 1/3

n(4) = (4,4) = 2

P(4) = 2/6 = 1/3

P(2 or 4) = 1/3 + 1/3 = 2/3

n( multiple of 2) = (2,2,4,4,6,6) = 6

P( multiple of 2) = 6/6 = 1

n(multiple of 3) = (6,6) = 2

P(multiple of 3) = 2/6 = 1/3

P(odd prime numbers) = 0

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The time it would take for the bacteria to reach 1119 is 5.83 hours

Given the function:

[tex]Pt= P_0e^k^t[/tex]

To find the exponential growth;

80 = [tex]50e^k^*^3[/tex]

[tex]k= 1.6/3\\k= 0.533[/tex]

If there is a constant growth, then to get to 1119:

1119= [tex]50e^0^.^5^3^3^*t[/tex]

3.8 = 0.533*t

t= 5.83 hours

Therefore, it would take 5.83 hours for the bacteria to increase to 1119.

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Answer:

Step-by-step explanation:

We can use the quadratic formula to get the answer to this

Quadratic Formula: -b +- √b² - 4ac/2a

Once we input A, B, and C into this, and solve any multiplication, we get

x = -1  +- √1 + 20/2

We divide by 2a, which 2a = 2.

-0.5 +- 10.5.

these are the following values of x:

x = 10

x = 11

Pretty sure this is it, hope it helps!

Answer:

B: Save $10

Step-by-step explanation:

A: $14.80, B: $12, C:$18.70, D: $16.50

The Volume for Rectangular prism A is 172 inches², Volume = 112 inches³

Surface Area to Volume Ratio = 43/28

Given Data

Rectangular prism A

Length = 2 inches

Width = 7 inches

Height = 8 inches

Surface Area

A=2(wl+hl+hw)

A=2(7*2+8*2+8*7)

A=2(14+16+56)

A= 172 inches²

Volume

Volume = L*W*H

Volume = 2*7*8

Volume = 112 inches³

Surface Area to Volume Ratio

= 172/112

= 43/28

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Answer:

=> Expand by applying the FOIL method

[tex]2x\cdot \:3x+2x\left(-8\right)-7\cdot \:3x-7\left(-8\right)[/tex]

=> combine like terms

[tex]6x^2-37x+56[/tex]

[tex]~~~~~~\dfrac{3x+15}{6-x} = 0\\\\\implies 3x +15 = 0\\\\\implies 3x = 0-15\\\\\implies 3x = -15\\\\\implies x = -\dfrac{15}3\\\\\implies x = -5[/tex]

Answer:

the answer=  -5

Answer:

  410 g

Step-by-step explanation:

Radioactive decay can be modeled by an exponential equation. The amount remaining (y) after a time period (t) can be expressed in terms of the initial amount (a) and the half-life (h).

  y = a(1/2)^(t/h)

__

We can use this equation with the given values to find the amount remaining.

  y = (680 g)(1/2)^((19 yrs)/(26 yrs)) ≈ (680 g)(0.602583)

  y ≈ 410 g

About 410 grams of element X will remain after 19 years.

Answer:

remainder = 4

Step-by-step explanation:

using the remainder theorem

when f(x) is divided by (x - a) then the remainder is f(a)

so when f(x) is divided by (x - 7) the remainder is f(7) , that is

f(7) = 7³ - 13(7)² + 40(7) + 18

      = 343 - 13(49) + 280 + 18

      = 343 - 637 + 298

      = 4

Hence, the remainder is [tex]4[/tex].

What is the remainder value?

The remainder is the amount "left over" after performing some computation. In arithmetic, the remainder is the integer "left over" after dividing one integer by another to produce an integer quotient.

Applying the remainder theorem

In general when [tex]f(x)[/tex] is divided by [tex](x - a)[/tex] then the remainder is [tex]f(a)[/tex].

So, here when [tex]f(x)[/tex]  is divided by [tex](x - 7)[/tex]  the remainder is [tex]f(7)[/tex], that is

[tex]f(7)=7^3-13(7)^3+40(7)+18\\=343-13(49)+280+18\\=343-637+298\\=4[/tex]

Hence, the remainder is [tex]4[/tex].

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[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3900\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &9 \end{cases} \\\\\\ A=3900\left(1+\frac{0.075}{1}\right)^{1\cdot 9}\implies A=3900(1.075)^9\implies A\approx 7477.23[/tex]

The area of the rectangle is 64.8 square .inch

A rectangle is a polygon with four sides , opposite sides are parallel and equal.

It is given that

A rectangle is divided into exactly 20 congruent squares

If they are lined up the Length is 36 inches

Therefore the length of each square or the side of the square = 36/20

= 1.8 inch

The area of the rectangle will be

20* Side of square * Side of square

=20*1.8*1.8

= 64.8 square inch

The area of the rectangle is 64.8 square .inch

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The sample space S =  {1, 2, 3, 4, 5, 6} describing all possible outcomes and outcomes for the event of rolling the number 2 is E = {2}

It is defined as the space in which all possible outcomes are represented in a list form for a particular event.

We have:

A number cube with faces labeled from 1 to 6 will be rolled once.

Let S is the sample space:

As we know, the sample space is the set of all possible outcomes:

S = {1, 2, 3, 4, 5, 6}

The total number of outcomes:

n(S) = 6

The outcomes for the event of rolling the number 2.

E = {2}

n(E) = 1

Thus, the sample space S =  {1, 2, 3, 4, 5, 6} describing all possible outcomes and outcomes for the event of rolling the number 2 is E = {2}

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Answer: The surface area = 2040.

Step-by-step explanation: Have a great day!

Answer:

Step-by-step explanation: