5 question

Directions: Read through Scenario and answer questions 1-15 using July’s Cost for Services fee schedule.

Scenario: July is self-employed and works as an esthetician. She does eyelashes, waxing services, brow lamination, facials and massages.

Answer:

1/1-mpc and 1-mps

Step-by-step explanation:

to get the multiplier effect you use the formula

M=1/1-MPC

Therefore , area and capacity of volume values equal f2 f 2 and f3 f 3, respectively, if the curve is f, f, and also the rim step size is f, f.

When we enlarge a shape by a scale factor, we multiply the area of the shape by the square of the scale factor. When we enlarge a shape by a scale factor, we multiply the volume of the shape by the cube of the scale factor. The scale factor is the proportional relationship that exists between the sides of similar figures.

Here,

Similar geometric shapes' edges, areas, and volumes are also connected to the scale factor.

The peripheral scale factor is f, f if the curve is f, f, and the surface and volume ratios are f2 f 2 but also

f3, f 3, respectively, if the correction factor is f, f.

Therefore , area and capacity values equal f2 f 2 and f3 f 3, respectively, if the curve is f, f, and also the rim step size is f, f.

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Answer:

Step-by-step explanation:

Pull FG together, and assume FG is 11. HJ, must be the same as FG, so it is 11. Our answer is 121.

Answer:

See below.

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{4 cm}\underline{Area of a parallelogram}\\\\$A=bh$\\\\where:\\ \phantom{ww}$\bullet$ $b$ is the base. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex]

Given:

Substitute the expressions for b and h and the value of A into the formula for area:

[tex]\implies 1=(2x-1)(4x-7)[/tex]

[tex]\implies (2x-1)(4x-7)=1[/tex]

Expand the brackets:

[tex]\implies 8x^2-14x-4x+7=1[/tex]

[tex]\implies 8x^2-18x+7=1[/tex]

Subtract 1 from both sides of the equation:

[tex]\implies 8x^2-18x+7-1=1-1[/tex]

[tex]\implies 8x^2-18x+6=0[/tex]

Factor out 2 from the left side:

[tex]\implies 2(4x^2-9x+3)=0[/tex]

Divide both sides by 2:

[tex]\implies 4x^2-9x+3=0[/tex]

Hence, showing that 4x² - 9x + 3 = 0.

Independent system of linear equations that do not rely on each other for the algebraic or graphic form of equations.

The collection of two or more linear equations involving the same variables is known as a system of linear equations. The number of orders in a system of linear equations can range from one to n.

If a consistent system only has one solution, it is regarded as independent.

Elimination or substitution are two algebraic methods for solving a system of linear equations. and was also graphically solved.

Hence Independent system of linear equations that do not rely on each other for the algebraic or graphic form of equations.

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Answer: So in order to get a) you need to multiply 3 times 6 because Rosie has 3 times more pints than Harley so you would get 18. And to find b) you need to subtract the 6 from the 18 and you get 12. Rosie has 12 more pints than Harley.

Step-by-step explanation:

Therefore , the solution of the given problem of pie chart comes out to be the amount he spent on living expenditures was $1634.5.

A pie chart, also known as a circle chart, is a visual representation of the various values of a given variable or a way to summarize a set of nominal data (e.g. percentage distribution). This kind of chart consists of a circle with numerous segments. Each segment stands for a specific category.

Here,

living expenses are 35% of the monthly budgeted income of $4670.

Next, we must utilize the rule of four:

4670 $ => 100%

x=> 35%

Clearing x:

=> x=(35/100)*(4670)

=> x=1634.5$

The amount he spent on living expenditures was $1634.5.

Therefore , the solution of the given problem of pie chart comes out to be the amount he spent on living expenditures was $1634.5.  

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According to the given statement the area of shaded region is is 20 units squared.

As an outcome, an isosceles triangle has two equal sides as well as two equal angles. As from Greek words iso (same) and skelos, the phrase is formed (leg). Except for a right triangle, which has quadrilateral on all sides, a scalene triangle lacks equal sides on each side.

The slope of the line connecting the bottom right vertex of something like the triangle to the top left vertex of both the square is equal to -1/2.

This line's equation is y = (-1/2)x + 10. (1)

The point at the triangle's top vertex is (15, 10)

The slope of the segment between (10, 0) and (15, 10) is 10/5, which equals two.

The line connecting these two locations has the equation y = 2(x - 10) y = 2x - 20. (2)

You may get the x coordinate of the point where these lines cross by putting (1) = (2) 

(-1/2)x + 10 = 2x - 20 

30 = [5/2]. x x equals 12 and y equals 2(12) - 20 = 4.

Therefore, the triangle's shaded area's height is 4 and its base is 10.

Its area is therefore (1/2)(4)(10) = 20 units squared.

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The wood fragment is 11,460 years old by C-14 dating if only 25% of the amount the tree had when it was alive is left.

The process of carbon-14 dating can be used to determine the age of an organic material such as wood. Carbon-14 is a radioactive isotope of carbon that is present in all living organisms. When an organism dies, the carbon-14 begins to decay at a known rate, and the amount of carbon-14 in the material decreases over time. By measuring the amount of carbon-14 remaining in a sample, it is possible to determine how long ago the organism died.

If the analysis shows that the C-14 has been reduced to 25% of the amount the tree had when it was alive, it means that 75% of C-14 has decayed, and the material is therefore 75% of its way through its radioactive decay.

Carbon-14 has a half-life of 5,730 years, which means that after 5,730 years, half of the carbon-14 in a sample will have decayed. To find the age of the wood fragment, you would need to multiply the sample's decay percentage (75%) by the material's half-life (5730 years) to get the number of years that have passed.

[tex]t = \frac{5730\ ln(0.25)}{-ln2}[/tex]

Where t is the number of years to decay to 25%.

t = 5730 × ( ln(4)/ ln(2))

t = 5730 × 2

t = 11,460

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The total displacement of the car after 5hrs is 0km.

                s =sf– si

where, s = displacement.

In the given graph, there is the change in distance covered with the time that is:

Thus, the displacement will be 0 km as the final point and initial point are the same.

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The equation of the circle is  [tex](x-2)^2+(y+1)^2=16[/tex].

What is equation of the circle?

A closed curve that is drawn from a set point known as the center and has all of its points at exactly the same distances from it is termed a circle. The formula for a circle with the coordinates (h, k) in its center and radius is [tex](x-h)^2+(y-k)^2=r^2[/tex]

This represents the equation's conventional form. As a result, the equation for the circle is simple to find if we also know the coordinates for the radius of the circle.

Here according to the graph the center of the circle is (2,-1) and radius of the circle = 2+2=4 unit.

Now using circle equation then

=> [tex](x-p)^2+(y-q)^2=r^2[/tex]

Where p=2 , q=-1 and r=4 then

=> [tex](x-2)^2+(y-(-1))^2=4^2[/tex]

=> [tex](x-2)^2+(y+1)^2=16[/tex]

Hence the equation of the circle is  [tex](x-2)^2+(y+1)^2=16[/tex].

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Therefore , the solution of the given problem of equation comes out to be 1 hour is required to generate 81$ .  

The equal symbol (=) is used to indicate equivalency in a statement for a mathematical model, which combines two statements. In algebra, an equation is a claim that establishes the similarity of two mathematics. The formula 78x + 5 = 14 connects the two numbers, for example. The statements on either face of a letter form a mathematical connection. Typically, the symbol is the lone element and the only variable. For example, 9x – 4 = 2.

Here,

Given :c = 18h + 63

Where c is cost in dollars

and h is hour spend.

Thus ,

To find the maximum amount of time to generate $81

So,

Using equation:

81 = 18h + 63

=> 18h = 81-63

=> 18h = 18

=> h =1

Therefore , the solution of the given problem of equation comes out to be 1 hour is required to generate 81$ .  

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To select a sample from the population of 24 math 152 students, I used stratified random sampling.

Stratified random sampling is when a population is divided into groups or strata, then a random sample is taken from each group. In this case, the population of 24 students was divided into two groups of 12. The first group was selected by randomly assigning each student a number from 1-12, then I used a random number generator to choose numbers from 1-12. The numbers that were chosen were the subjects for the first group. I repeated this process for the second group of 12, assigning each student a number from 13-24, then using the random number generator to choose the subjects for the second group. I repeated this process until I had a sample of 10 students. This process allowed me to create a sample that was representative of the entire population.

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Answer: sometimes

Step-by-step explanation:

The measure of the angle subtended at the center of this circle is 78°.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

We know the angle subtended at the center of a circle is twice the measure of any angle subtended at any point of the circumference of the circle.

Given, The measure of the angle subtended at the circumference of this circle is 39°.

Therefore, The measure of the angle subtended at the center is,

= (2×39)°.

= 78°.

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Answer:

Step-by-step explanation:

Volume of cuboid = AC x CD x CG. (Cuboid formula is l x b x h)

Now, given, area of ABCD is 25.

Area of square = a² or AC x CD

Therefore, substituting that in the first line, we get,

25 x CG = volume,

or 25 x 12 = 300 cm³. (Given CG is 12cm)

The velocity of the trainee is 94.2/m m/s and 0.15 x m rev/s.

The centripetal force (Fc) felt by the trainee can be calculated using the following equation:

Fc = mv2/r

Where m is the mass of the trainee, v is the velocity and r is the radius of the circle.

Therefore, the velocity (v) required to produce a centripetal force of 7.85 times the mass of the trainee can be calculated as follows:

v =√(Fc x r/m)

=√(7.85 x 12.0/m)

=√(94.2/m)

For a given mass, the velocity is therefore 94.2/m m/s.

Converting to revolutions per second (rev/s), the velocity can be calculated as follows:

v = (2πr)/T

= (2π x 12.0)/(94.2/m)

= (14.14 x m)/94.2

= 0.15 x m rev/s

Therefore, the velocity of the trainee is 94.2/m m/s and 0.15 x m rev/s.

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Answer:

720 Should be the answer I think.

Answer:

9(w+4)7

Step-by-step explanation:

I got this answer too, just like the person before me

Answer:d

Step-by-step explanation:

Answer: 72 in = 182.88cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

2y - z + z^2 is an algebraic expression. It represents a mathematical operation that includes three different terms: 2y, -z and z^2. It can be simplified depending on the context and the values of y and z.

In the given expression, 2y is the coefficient of y, which is multiplied by y. -z is subtracted from 2y and z^2 is added to the result.

In order to simplify this equation, you could combine like terms, which means combining the same variable or powers of the same variable with each other.

This expression does not have any like terms, so it can't be simplified anymore.

It can be evaluated by replacing y and z with specific values and then performing the mathematical operations in the given order.

Check the picture below.

so, let's notice the angle made by the hand from 2pm to 4:45pm, well, it goes around twice, 2 revolutiions, then it goes 270° more after that, and we know the "radius" is 10.5"

[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ \theta =\stackrel{360+360+270}{990~\hfill }\\ r=10.5 \end{cases}\implies s=\cfrac{(990)\pi (10.5)}{180} \\\\\\ s=\cfrac{231\pi }{4}\implies s\approx 181.43~in[/tex]

For the given perimeter and side length of the triangle , the equation and the measure of the longest side length of the triangle is given by :

Equation : x + 278 = 450 and side length = 172cm.

As given in the question,

The given measurements of the triangle are :

Perimeter of the triangle = 450cm

Measure of the two side length are :

Side length 1 = 128 cm

Side length 2 = 150 cm

let 'x' be the measure of the longest side length of the triangle we have,

Perimeter of the triangle = Side length 1 + Side length 2 + side length 3

⇒ 450 cm = 128 + 150 + x

⇒ 450 = 278 + x

Equation to represent the relation :

x + 278 = 450

Measure of the longest side of the triangle is :

⇒ x = 450 - 278

⇒ x = 172 cm

Therefore, the equation and the measure of the longest side length of the triangle with given perimeter and other side length is equal to

Equation : x + 278 = 450 and side length = 172cm.

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Answer:

15

Step-by-step explanation:

x + 2y

Putting x = 7, y = 4, we have

7 + 2(4)

= 7 + 8

= 15

Hope it helps.

If you have any query, feel free to ask.

Step-by-step explanation:

It's saying x = 7 and y = 4, which means everywhere there is an x, you'll place a 7 and everywhere there is a y, you'll place a 4

x + 2y turns into (7) + 2(4)

Now we can answer the bottom question

2(4) = 8

7 + 8 = 15

so...

If x =7 and y=4, then x+2y= 15

Step-by-step explanation:

Square the 3 first, which gives you 9 (use the 9 as the denominator), then do 2 X 1/9. Which leaves you with 2/9

Answer: The answer is x = 34

Step-by-step explanation: The first triangle shows that the first angle is 84  and 36 which equals 120. Since both triangles are the same the second triangle also has to equal 120. Since you know this you simply subtract 86 from 120 which gives you 34.

Hope this helped