Which transformations could have occurred to map triangle ABC to triangle A”B”C”

Answer:

A

Step-by-step explanation:

It’s not B, because it’s saying each pound is 1.25 multiplied by the cost. We are looking for the cost, not the amount of pounds.

it isn’t C, because the oranges are sold in 3 pound bags, and the equation is comparing the cost of a 3 pound bag to 1 pound of oranges.

And it isn’t D, because D does the same thing as B, but with The cost of a 3 pound bag.

An equation is formed of two equal expressions. The correct option is A, c=1.25p.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that the farm stand sells oranges in 3-lb bags for $3.75. Therefore, the cost of the oranges for a pound is,

Cost of a pound of oranges = $3.75 / 3

                                              = $1.25

Now, if the cost,c for p pounds of oranges is,

Cost, c = Cost of a pound of oranges × Number of pounds

            = $1.25 × p

      c = 1.25p

Hence, the correct option is A, c=1.25p.

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The number of students who would be there are 24 students .

The number of both students and chaperones on the trip are 28 in number. Again , this is both the chaperones and the students .

There are 4 chaperones according to the question . So to find the number of students on the field trip, the formula would be :

= Total number of both students and chaperones - Total number of chaperones

= 28 - 4

= 24 students

The number of students who would be on the field trip is 24 students .

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Answer:

Step-by-step explanation:

To find the mean absolute deviation (MAD), we first need to find the mean of the data set:

mean = (2 + 5 + 3 + 5 + 4 + 3 + 3 + 5 + 4 + 4) / 10

mean = 4

Next, we find the absolute deviation of each data point from the mean:

|2 - 4| = 2

|5 - 4| = 1

|3 - 4| = 1

|5 - 4| = 1

|4 - 4| = 0

|3 - 4| = 1

|3 - 4| = 1

|5 - 4| = 1

|4 - 4| = 0

|4 - 4| = 0

Then, we find the mean of these absolute deviations:

MAD = (2 + 1 + 1 + 1 + 0 + 1 + 1 + 1 + 0 + 0) / 10

MAD = 0.8

Therefore, the mean absolute deviation of the data set is 0.8.

Step-by-step explanation:

To find (f + g)(x), we first need to add the two functions f(x) and g(x) together:

(f + g)(x) = f(x) + g(x)

= (x + 8) + (-4x - 3)

= x - 4x + 8 - 3

= -3x + 5

Therefore, (f + g)(x) = -3x + 5.

Answer:

Let s = smaller number

l = larger number

s + l = 31

2s = l + 11

2(31 - l) = l + 11

62 - 2l = l + 11

3l = 51, so l = 17 and s = 14.

The larger number is 17, and the smaller number is 14.

Answer:

\(f(4) = 1.39\)

Step-by-step explanation:

Given

\(f(x) = ln\ x\)

Required

Find f(4)

Substitute 4 for x in \(f(x) = ln\ x\)

\(f(4) = ln\ 4\)

\(f(4) = 1.38629436112\)

Approximate:

\(f(4) = 1.39\)

Answer:

Hi

please mark brainliest ❣️

Thanks

Step-by-step explanation:

10 + x / 3 = 12

Cross multiply

10 + x = 12× 3

10 + x = 36

Collect like terms

x= 36 - 10

x = 26

Answer:

2:7

Step-by-step explanation:

Answer:

2:7

Easy.

Come on bro this is like one of the easiest questions in the world

Answer:

radius = 4 cm

Step-by-step explanation:

r≈4cm

Using the formula

V=πr2h

Solving forr

r=V

πh=1004.8

π·20≈3.99899cm

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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Answer:

E= 0 Good luck answering the other questions :)

Step-by-step explanation:

Answer:

these equation hv 1 solution

like this

Step-by-step explanation:

may be this one help u then plz mark me briallent

iii; iv; and v

Step-by-step explanation:

I think

Answer:

1,000= 20h +500

Step-by-step explanation:

20$ and hour.  So 20 has the variable

+$500 so it's the constant

The goal = $1000

Interest is a fee charged by a lender to a borrower for the use of money or credit, usually expressed as a percentage of the amount borrowed or invested over a period of time. Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.  The total interest earned after one year is $229

How much was in each account?

Let x be the amount invested in the first account that pays 3% interest, and let y be the amount invested in the second account that pays 8% interest. Since the total amount invested is $5800, we have:

\(x + y = 5800\)

The amount of interest earned on the first account is 0.03x, and the amount of interest earned on the second account is 0.08y. Since the total interest earned after one year is $229, we have:

\(0.03x + 0.08y = 229\)

We now have two equations with two unknowns:

\(x + y = 5800\)

\(0.03x + 0.08y = 229\)

We can solve for x and y by using elimination or substitution method. Here, we will use the substitution method.

Solve the first equation for x:

\(x = 5800 - y\)

Substitute this expression for x into the second equation and solve for y:

\(0.03(5800 - y) + 0.08y = 229\)

\(174 - 0.03y + 0.08y = 229\)

\(0.05y = 55\)

\(y = 1100\)

Now substitute this value of y into either equation to solve for x:

\(x + 1100 = 5800\)

\(x = 4700\)

Therefore, Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.

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Step-by-step explanation:

Let use the following rules to construct a polynomial,

Rule 1:

If r is a zero of some polynomial, f(x), then

\((x - r)\)

is a factor of the polynomial

We first know that one of our zeroes are real, which is 0.

So since r=0

\((x - 0) = x\)

is a factor

However, since the root ,0, has a multiplicty of 4, that basically means we have 0 as a root 4 times or basically we multiply the factor 4 times.

\(x \times x \times x \times x = x {}^{4} \)

This leads to an another rule:

If a polynomial has a zero, r that has a multiplicty of k,

we represent the factor as

\((x - r) {}^{k} \)

where k is all integers greater than 0.

So to reinforce myself, since 0 has a multiplicty of 4, we have

\((x - 0) {}^{4} = {x}^{4} \)

So our first factor is

\( {x}^{4} \)

Part 2: Complex Zeroes.

When dealing with complex zeroes, we must note this rule.

if (a+bi) is a zero of some polynomial, p then its conjugate (a-bi) is a factor as well.

So if 3-2i is a factor, then

3+2i is a factor as well.

Using Rule 1, our factors now become

\((x - (3 + 2i))\)

and

\((x - (3 - 2i))\)

So our factors are

\( {x}^{4} (x - (3 - 2i)(x - (3 + 2i))\)

To simplify use FOIL Method,

\( {x}^{4} ( {x}^{2} - x(3 + 2i) - x(3 - 2i) + 9 - 4 {i}^{2} )\)

\( {x}^{4} ( {x}^{2} - 6x + 13)\)

\( {x}^{6} - 6 {x}^{5} + 13 {x}^{4} \)

So our polynomial is

\( {x}^{6} - 6 {x}^{5} + 13 {x}^{4} \)

Answer:

so that you will multiply 15 * 4.

Step-by-step explanation:

15*4 = 60 now you divide 60 by 4 and the answer will be 15.

The required volumes for the given set of cylinders are: 1. 5098.53 cubic cm 2. 319.51 cubic cm 3. 3988.82 cubic cm.

Volume is the measure of the amount of space occupied by a three-dimensional object. It is typically measured in cubic units, such as cubic meters or cubic centimeters. The formula for calculating the volume of common three-dimensional shapes such as cubes, cylinders, and spheres involves multiplying certain measurements together, such as the length, width, and height of a rectangular prism or the radius and height of a cylinder. The resulting volume measurement indicates how much liquid, gas, or other material an object can hold or occupy.

Here,

b) The volume of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder. If the diameter of the cylinder is 18 cm, then the radius is half of that, which is 9 cm. The height of the cylinder is 20 cm. So, substituting the values in the formula, we get:

V = π(9)²(20)

V = 1620π

V ≈ 5098.53 cubic cm

c) The volume of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder. If the area of the base is 40 cm², then we can find the radius by using the formula for the area of a circle:

A = πr²

40 = πr²

r² = 40/π

r ≈ 3.18 cm

The height of the cylinder is 10 cm. So, substituting the values in the formula for the volume, we get:

V = π(3.18)²(10)

V ≈ 319.51 cubic cm

d) The volume of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder. If the circumference of the base is 50 cm, then we can find the radius by using the formula for the circumference of a circle:

C = 2πr

50 = 2πr

r ≈ 7.96 cm

The height of the cylinder is 20 cm. So, substituting the values in the formula for the volume, we get:

V = π(7.96)²(20)

V ≈ 3988.82 cubic cm

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Answer:

help to others the exact amount u have

Step-by-step explanation:

5th - 13

6th - 20

7th - 27

8th - 34

‍♂️

The ratio is the division of two variables or constants. The ratio 0.5:6 in the form 1:n will be 1:12.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given ratio,

0.5:6 = 0.5/6

Multiply the numerator and denominator by 2

(0.5 x 2)/(6 x 2) = 1/12 = 1:12

Compare with 1:n

n = 12

Hence "The ratio is the division of two variables or constants. The ratio 0.5:6 in the form 1:n will be 1:12".

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The length of line segment AB is 5 units.To find the length of line segment AB, we can use the distance formula, which is based on the Pythagorean theorem.

The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane.

Let's calculate the length of AB using the given coordinates for points A and B:

Coordinates of point A: A = (4, -5)

Coordinates of point B: B = (7, -9)

The distance formula is given by:

\(d = [(x2 - x1)^2 + (y2 - y1)^2]\)

Substituting the coordinates of A and B into the formula:

\(d = [(7 - 4)^2 + (-9 - (-5))^2]\\d =[(3)^2 + (-4)^2]\)

d = √[9 + 16]

d = √25

d = 5

Therefore, the length of line segment AB is 5 units.

The distance formula calculates the straight-line distance between two points in a two-dimensional space. In this case, it determines the distance between points A and B in the coordinate plane. By applying the formula and substituting the given coordinates, we find that the length of AB is 5 units.

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Answer: C

Step-by-step explanation: Because

ANSWER

EXPLANATION

We want to find the solution to the given equation:

To solve the equation, multiply both sides of the equation by 5:

That is the solution to the equation.

Answer:

3

Step-by-step explanation:

3^3 = 27

Answer:

1100

Step-by-step explanation:

8 = 1000

9 = 1001

10 = 1010

11 = 1011

12 = 1100

hope this helps :)

The quotient of  10⁻⁴/10² is 10⁻⁶

Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.

For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.

Division law states that:

10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ

In this case have:

10⁻⁴/10² = 10⁻⁴⁻²   (Division law)

10⁻⁴/10² = 10⁻⁶

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The inverse demand function is P = 2400 + 5Q

Given that

Q = 480 - 0.2P

We simply make P the subject of the formula

So, we have

0.2P = 480 - Q

Divide by 0.2

P = 2400 + 5Q

To find the marginal revenue function, we can use the inverse demand function P = 2400 + 5Q, and take the derivative of this function with respect to Q.

The derivative of P with respect to Q is dP/dQ = 5. This represents the change in price for a one unit change in the quantity of operations performed.

So the Marginal Revenue function is MR = dP/dQ * Q = 5Q

To maximize profit, the doctor should equate marginal revenue to marginal cost, which is

MC = dAVC/dQ

So, we have

MC = d(2Q² - 15Q + 400)/dQ

Evaluate

MC = 4Q - 15.

So, we have

5Q = 4Q - 15

Q = -15

Take the absolute value

Q = 15

So, the number of operations is 15

We have

P = 2400 + 5Q

This gives

P = 2400 + 5 * 15

Evaluate

P = 2475

To find the profit, we need to subtract the total cost from the total revenue.

The total revenue is found by multiplying the price by the quantity of operations performed: TR = P * Q = 2475 * 15 = 37125

The total variable cost is found by multiplying the average variable cost by the quantity of operations performed: TVC = AVC * Q = (2Q^2 - 15Q + 400) * Q = 2Q^3 - 15Q^2 + 400Q

The total fixed cost is the fixed cost that doesn't change regardless of the level of output : TFC = $8000

The total cost is the sum of the total variable cost and total fixed cost: TC = TVC + TFC = 2Q^3 - 15Q^2 + 400Q + $8000

The profit is the difference between total revenue and total cost:

π = TR - TC = 37125 - (2Q^3 - 15Q^2 + 400Q + $8000)

When Q = 15,

profit is π = 37125 - (2(15)^3 - 15(15)^2 + 400(15) + $8000)

= 19750

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