A handyman charges $150 plus $25 per hour for house painting. A painter charges $55 per hour. How many hours would a job have to take for both fees to be the same?

Answer:

Lookie here the total profit is 357.03

The expected value of the total return rate for the firm's clients in three types of equity investments is 7.4%.

The expected value of the total return rate for the firm's clients can be calculated by multiplying the rate of return for each equity investment type by the percentage of clients who invest in that type, and then summing up these values.

For A, multiply the rate of return (10%) by the percentage of clients who invest in A (30%).

= 0.10 * 0.30

= 0.03.

For B, multiply the rate of return (6%) by the percentage of clients who invest in B (50%).

= 0.06 * 0.50

= 0.03.

For C, multiply the rate of return (7%) by the percentage of clients who invest in C (20%).

= 0.07 * 0.20

= 0.014.

Sum up the results from steps 1, 2, and 3:

= 0.03 + 0.03 + 0.014

= 0.074.

Therefore, the expected value of the total return rate for the firm's clients is 7.4%.

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The time taken for the trip if the return trip was 9 hours is 17 hours.

The outward journey used 432 mph. The return journey was 480 mph and this was for 9 hours.

Let the time taken for the initial trip be x. This will be:

x/9 = 432 / 48

Cross multiply

480x = 432 × 9

x = (432 × 9) / 480

x = 8

Therefore, the initial trip was 8 hours.

The time taken for the whole trip will be:

= Outward trip + Return trip

= 8 hours + 9 hours

= 17 hours.

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Answer:

707.7

Step-by-step explanation:

3x-9.2 = 2114

2114+9.2 = 2123.2

3x = 2123.2

x = 707.7

Answer:

10.15

Step-by-step explanation:

3x-9.2 = 21.25

3x = 30.45

x = 10.15

Answer:

The correct answer is C. The 4th term is 11.

Step-by-step explanation:

Since the next term is one more than twice the previous, we can calculate it by the following expression:

\(a_{n} = 2*a_{n-1} + 1\)

So the second term is:

\(a_2 = 2*\frac{1}{2} + 1\\a_2 = 2\)

The third term:

\(a_3 = 2*2 + 1\\a_3 = 5\)

And the fourth term:

\(a_4 = 2*5 + 1\\a_4 = 10 + 1 = 11\)

The correct answer is C. The 4th term is 11.

Answer:

The answer looks correct.

Step-by-step explanation:

All the other option doesn't match the above question's statement.

The last answer is the correct (in my opinion)

Answer:

Absolutely Correct

Step-by-step explanation:

Based on the definition of midpoint;

It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

meaning the distance from the midpoint to one end is the same as the distance to the other end

Answer:

b

Step-by-step explanation:

Answer:

C. 0.5 times 1 = 0.5

The system of equations that might make up the system is

Equation 1: y = 2x - 29

Equation 2: y = -3x - 4

To determine two equations that could make up the system of equations with the solution (5, -19), we can consider the general form of a linear equation: y = mx + b, where m represents the slope and b represents the y-intercept.

Equation 1: Let's consider an equation with a slope of 2 and a y-intercept of -29:

y = 2x - 29

Equation 2: Let's consider an equation with a slope of -3 and a y-intercept of -4:

y = -3x - 4

Both equations are linear and can form a system of equations. By substituting x = 5 and y = -19 into these equations, we can verify if they indeed yield the solution (5, -19).

For Equation 1:

-19 = 2(5) - 29

-19 = 10 - 29

-19 = -19 (true)

For Equation 2:

-19 = -3(5) - 4

-19 = -15 - 4

-19 = -19 (true)

Therefore, the system of equations that might make up the system is:

Equation 1: y = 2x - 29

Equation 2: y = -3x - 4

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Answer:

Step-by-step explanation:

First, you need to graph all given points in the table, that way you will be able to determine the end behavior.

Remember, the end behavior of a function is the behavior of f(x) as x approaches to positive infinity and negative infinity.

So, based in the graph, we can say that as x approaches to positive infinity, f(x) approaches to negative infinity, and as x approaches to negative infinity, f(x) approaches to negative inifinity. In other words, in either case, f(x) always approaches to negative infinity.

Therefore, the right answer is the last choice.

Answer:

As x → ∞, f(x) → –∞, and as x → –∞, f(x) → –∞

Step-by-step explanation:

Just took the test!!!

The ordered pair of the inequality will be (9,-3).

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that inequality is given as y ≤ 1/3x−6.

The ordered pair can be calculated as:-

y ≤ 1/3x−6

Substitute the value of x equal to 9 and get the value of y,

y ≤ 1/3(9) - 6

y ≤ 3 - 6

y ≤ -3

Hence, the ordered pair will be (9,-3).

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Answer:

4 gte g

Step-by-step explanation:

Answer:

g < 4

Step-by-step explanation:

−12<−3g

Step 1: Flip the equation.

−3g>−12

Step 2: Divide both sides by -3.

−3g

−3

>

−12

−3

g < 4

The equation of the line that passes through the points is y = -4x - 6

From the question, we have the following parameters that can be used in our computation:

Points = ( 1 , 2 ) (1,2) and ( 3 , − 6 ) (3,−6)

This means that

(x, y) = (1, 2) and (3, -6)

A linear equation is represented as

y = mx + c

Using the given points, we have

m + c = 2

3m + c = -6

So, we have

2m = -8

Divide

m = -4

next, we have

-4 + c = 2

Evaluate

c = -6

This means that the equation is y = -4x - 6

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Answer:

Step-by-step explanation:

Stop Responding

To find the equation of the line that passes through two points (1,2) and (3,-6), we can use the point-slope form of the equation of a line. The point-slope form of the equation of a line is given by:

y - y1 = m(x - x1)

where (x1,y1) is a point on the line and m is the slope of the line.

First, we need to find the slope of the line. The slope of a line passing through two points (x1,y1) and (x2,y2) is given by:

m = (y2 - y1) / (x2 - x1)

Substituting the given values, we get:

m = (-6 - 2) / (3 - 1) = -4

Now that we have the slope, we can use either of the two given points to find the equation of the line. Let’s use (1,2).

y - y1 = m(x - x1)

y - 2 = -4(x - 1)

y - 2 = -4x + 4

y = -4x + 6

Therefore, the equation of the line that passes through (1,2) and (3,-6) is y = -4x + 6.

Answer:

B

Step-by-step explanation:

The pythagorean theorem is used to solve side lengths of a triangle.

Answer:

B

Step-by-step explanation:

You can't go very far without knowing this basic theorem.  The Pythagorean Theorem relates right angle triangles and squares.  If you search for the Pythagorean Theorem pictures, you will see a right triangle with squares on each of it's feet. The smallest square + the middle sized square = the largest square.  Notice that word plus. It means that the squares are added and that is the key word in answering your question.

The answer is B.

I seem not to be able to download a picture. I hope you have better luck.

Answer:

#3

Step-by-step explanation:

For this... you just multiply the exponents together to get 6x

   any of the others that do NOT have 6x as a product of exponents is not equiv    ..... so #3 is not equivalent  

Option 3 is not equivalent to the given expression.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is (5²ˣ)³.

Now, (5⁶ˣ)

(5ˣ)⁶

(5²)³ˣ

Therefore, option 3 is not equivalent to the given expression.

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Answer: 46.2m

Side A = 7m

Side B = 19m

Side C = 20.2m

Side A + Side B + Side C = ABC

7 + 19 + 20.2 = 46.2m

Answer:

-148

Step-by-step explanation:

Hello!

We can evaluate by plugging in -3 for x, and -7 for y in the expression \(3x^3 - 2x^2 + 7y\)

The evaluated value is -148.

Answer:

-148

Step-by-step explanation:

Answer: hi i am not sure what questions you need but look below.

1. D. The temperature dropped 4 degrees each hour for 5 consecutive days.

2. Brenda simplified the expression correctly.

Step-by-step explanation:

1. the equation is -4(5)=-20.

- means that the number is decreasing or below zero. so If the temp. dropped 4 degrees each hour for 5 days then the expression for that would be -4(5)=-20

2. Brenda is correct because -5x+(2+x)= -5+x+2

You must break the expression up. -5x +x and -5x + 2. Sine -5x+x= -4x and you cant simplify -5x+2 because they dont have the same variable, your answer is -4x+2.

You are welcome

The function f(x) = -2|x - 3| + 2 involves a horizontal shift of 3 units to the right, a vertical reflection, and a downward stretch. Its domain is all real numbers, and its range is all real numbers less than or equal to 2.

The function f(x) = -2|x - 3| + 2 is a transformation of the basic absolute value function f(x) = |x|. Let's analyze the transformations and then graph both functions.Transformations:

1. Shifting: The function f(x) = -2|x - 3| + 2 involves a horizontal shift of the absolute value function f(x) = |x|. The term (x - 3) inside the absolute value causes a shift of 3 units to the right.

2. Reflecting: The negative sign in front of the absolute value function reflects the graph across the x-axis. It causes the function to be reflected vertically.

3. Compressing or stretching: There is no compression or stretching factor present in this particular function.

Graph of the basic function f(x) = |x|:

The graph of the basic function f(x) = |x| is a V-shaped graph that passes through the origin (0, 0). It has symmetry with respect to the y-axis.Graph of the given function f(x) = -2|x - 3| + 2:

To graph the given function, we start with the basic absolute value function f(x) = |x| and apply the transformations: a horizontal shift of 3 units to the right and a vertical reflection. The negative coefficient (-2) affects the amplitude, making the graph steeper.

Domain of f(x) = -2|x - 3| + 2:

The domain of the given function is all real numbers since there are no restrictions on the input values of x.

Range of f(x) = -2|x - 3| + 2:

The range of the given function is the set of all real numbers less than or equal to 2, as the vertical reflection and the coefficient (-2) cause the graph to be reflected and stretched downward.

Note: Without specific constraints on the values of x, the domain and range of the given function follow the typical domain and range of absolute value functions.

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Answer:

Step-by-step explanation:

Reflection over any line is a rigid transformation that does not change angles or lengths. Dilation is a transformation that changes lengths by the same scale factor, but has no effect on angles. Dilated figures are similar to the original.

When ΔXYZ is reflected over a vertical line, no lengths or angles are changed. When the reflected triangle is dilated by half, we get ...

  Y'X' = (1/2)YX . . . . . . . makes option 3 false

  X'Z' = (1/2)XZ . . . . . . . makes option 4 true

Since no angles are changed, we have ...

  Angle XZY ≅ Angle Y'Z'X'   (another name for angle X'Z'Y')

  ... makes option 2 true

Of course, the resulting triangle is similar to the original, so ...

  △XYZ ~ △X'Y'Z' . . . . . option 1 is true

Answer:

Let's start by using the information given in the problem to write an equation for the perimeter of the rectangle:

Perimeter = 2(length + width)

We know that the length of the rectangle is twice its width, so we can write:

length = 2*width

Substituting this expression into the equation for the perimeter, we get:

Perimeter = 2(2*width + width)

Simplifying this expression, we get:

Perimeter = 6*width

We are given that the perimeter is 7 1/3 cm, which we can convert to a mixed number:

Perimeter = 7 + 1/3 = 22/3

Substituting this value into the equation above, we get:

22/3 = 6*width

Solving for the width, we get:

width = 22/3 ÷ 6 = 11/9

Now that we have the width, we can use the expression for the length to find its value:

length = 2*width = 2(11/9) = 22/9

Finally, we can use the formula for the area of a rectangle, A = length * width, to find the area:

A = (22/9) * (11/9) = 242/81 square cm

Therefore, the area of the rectangle is 242/81 square cm.

When a figure is reflected over one of the axis there is only a change on the sign of one of the coordinates.

When the reflection is done over the x-axis the transformation follows the rule

When the reflection is done over the y-axis the transformation follows the rule

According to this if we reflect triangle ABC over the x axis then

If we reflect the triangle over the y axis

You can convert from scientific notation to simple notation using the fact that negative powers can be converted to division.

The correct option is given by

Option C. The greatest number is 8. 2 × 10-3. It is 2,000 times greater than the smallest number.

Suppose you have got \(a^{-b}\)

Then we have

\(a^{-b} = \dfrac{1}{a^b}\)

\(8.2 \times 10^{-3} = \dfrac{8.2}{10^3} = \dfrac{8.2}{1000} = 0.0082\\\\5.2 \times 10^{-6} = \dfrac{5.2}{10^6} = \dfrac{5.2}{1000000} = 0.0000052\\\\4.1 \times 10^{-6} = \dfrac{4.1}{10^6} = \dfrac{4.1}{1000000} = 0.0000041\)

Thus, we can see that

The greatest number among given numbers is \(8.2 \times 10^{-3}\)

The smallest number among the given numbers is \(4.1 \times 10^{-6}\)

Dividing greatest number by smallest to see how many times the greatest number is greater than the smallest number

\(\dfrac{8.2 \times 10^{-3}}{4.1 \times 10^{-6}} =\dfrac{8.2}{4.1} \times \dfrac{10^{-3}}{10^{-6}} = 2 \times 10^{-3 - (-6)} = 2 \times 10^3 = 2000\)

Remember that when base are same, and there is division, then power gets subtracted, that's why we got \(\dfrac{10^{-3}}{10^{-6}} = 10^{-3 - (-6)} = 10^3\)

Thus, we have the greatest number 2000 times bigger than the smallest number among the numbers given.

Thus, the correct option is

Option C. The greatest number is 8. 2 × \(10^{-3}\). It is 2,000 times greater than the smallest number.

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The distributive property of multiplication over addition is applied when you multiply a value by a sum

The  property of multiplication and addition is applied when we need to multiply a number by the sum of two numbers. For example,  7 is multiplied by  20 3. Mathematically, this can be represented as 7(20 3).

Example: Solve the expression 7(20 3) using the  property of multiplication and addition.

Solution: When solving the expression 7(20 3) using the distributive property, you first multiply each addition by 7. This is called dividing the number 7 between two additions and then we can add the products. This means that  7(20) and 7(3) are multiplied before  addition. This gives 7 (20) 7 (3) = 1

0 21 = 161.

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Answer:

25

Step-by-step explanation:

Just put down the answer.

Answer:

\(3\frac{1}{3}\) or \(\frac{10}{3}\)

Step-by-step explanation:

We could use the combined rate equation to find the combined rate of work.

Combined rate of work formula: \(\frac{1}{t_{b}} = \frac{1}{t_{1} } + \frac{1}{t_{2} }\), where \(t_{1}\) is the individual time for object A, \(t_{2}\) the individual time for object B and \(t_{b}\) is the time for A and B together.

The time it takes Irina to paint the room alone, \(t_{1}\) = 5 hours

The time it takes Paulo to paint the room, \(t_{2}\) = 10 hours

1) Substitute object A (Irina) and B (Paulo) into the formula given above, and change \(t_{b}\) into an \(x\).

\(\frac{1}{{x}} = \frac{1}{5 } + \frac{1}{10 }\)

2) Add the fractions.

\(\frac{1}{x} = \frac{3}{10}\)

3) Solve for the \(x\).

\(x(3) = 1(10)\\3x = 10\\x = \frac{10}{3} \\\)

4) Change them into a mixed fraction.

\(3\frac{1}{3}\)

Note: \(\frac{10}{3}\) or \(3\frac{1}{3}\) are both correct. Write the answer according to the question. In this case, there is no specific rule, so I choose \(3\frac{1}{3}\).

Answer

The answer is 16/3

Step-by-step-explain

F(x) = ⅓ • 4ˣ, F(2)

F(2) = ⅓ • 4²

F(2) = ⅓ • 16

F(2) = 16/3

Thus, The answer is 16/3

-TheUnknownScientist

Answer:

Step-by-step explanation:

16/3

I hope it's helpful

Answer:

b = 133

c = 47

Answer:

2x + 4y = 16

4y = 16 - 2x

y = 4 - 1/2x

gradient = -1/2

y - y1 = m(x - x1)

m = gradient, (x1, y1) = (-2,2)

y - 2 = -1/2 (x + 2)

y - 2 = -1/2x - 1

y = -1/2x + 1 → ANSWER

Hope it helps!