Sarah earns $3.25 an hour stuffing envelopes. Write a rule to describe how the amount of money, m, earned is a function of the number of hours, h, spent stuffing envelopes.

The given expression can be simplified to get the value as 19. The correct option is (A).

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is as below,

\((12b - 2^{c}) /\sqrt[3]{a}\)

Substitute a = 64, b = 9 and c = 5 to obtain the value as below,

⇒ (12 × 9 - 2⁵)/∛64

⇒ (108 - 32)/4

⇒ 76/4

⇒ 19

Hence, the value of the given expression is obtained as 19.

To know more about algebraic expression click on,

brainly.com/question/953809

#SPJ1

The image of the complete problem is attached here.

Answer:

377.19 (rounded off to 2dp)

Step-by-step explanation:

since its a right angled triangle, we can use tangent

tan(x) =opp/adj

tan(5) =33/AC

AC =33/tan(5)

the graph of the equation y = 2 x - 2 is being obtained.

We are given the equation:

y = 2 x - 2

We need to make the graph of the equation.

We will first find some points on this equation:

x              y

0             -2

1               0

2              2

3              4

4              6

5              8

Now, we will plot these points on the graph and join them with a dark line to obtain the graph of the equation y = 2 x - 2.

Therefore, the graph of the equation y = 2 x - 2 is being obtained.

Learn more about graph here:

https://brainly.com/question/19040584

#SPJ9

Answer:

step one needs to be fixed... you are supposed to subtract 10 from both sides of the equation.

Step-by-step explanation:

STEP 1: Move all terms not containing n to the right side of the equation.

\(2n=-12\)

STEP 2: Divide each term by 2 and simplify.

\(n=-6\)

Answer:

10.3

Step-by-step explanation:

Answer:

10.4 in.

Step-by-step explanation:

To find the radius of a circle from the circumference, divide the circumference by pi, then, divide the quotient by 2.

65 is the circumference of Joe's bicycle.

65 ÷ 3.14 = 20.7006369427

20.7006369427 ÷ 2 = 10.3503184714

10.3503184714 ≈ 10.4

Therefore, 10.4 is the radius of the wheel rounded to the nearest tenth.

There are 6 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice matters and 3 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice dοes nοt matter.

The prοduct οf all pοsitive integers less than οr equal tο a given pοsitive integer and denοted by that integer and an exclamatiοn pοint. Thus, factοrial seven is written 7!, meaning 1 × 2 × 3 × 4 × 5 × 6 × 7. Factοrial zerο is defined as equal tο 1.

If the chοice matters (i.e., the οrder οf the chοsen οbjects matters), then there are 3 pοssible chοices fοr the first οbject and 2 pοssible chοices fοr the secοnd οbject.

Thus, there are 3 * 2 = 6 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice matters.

If the chοice dοes nοt matter (i.e., the οrder οf the chοsen οbjects dοes nοt matter), then there are 3 chοοse 2 = 3!/((3-2)!*2!) = 3 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice dοes nοt matter.

Therefοre,  there are 6 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice matters and 3 ways tο chοοse 2 οbjects withοut replacement frοm 3 οbjects if the chοice dοes nοt matter.

To learn more about the factorial visit:

https://brainly.com/question/25997932

#SPJ1

The length of the ladder needed to reach the window to the nearest tenth of a foot is option (a). 17.0 feet.

Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.

Given,

Length of the moat = 8 feet

Height of the window from the ground = 15 feet

Using the concept of right triangle, from the figure, length of the moat is the base and height of the window is the altitude.

Length of the ladder is the hypotenuse.

By Pythagoras theorem,

Length of the ladder = \(\sqrt{8^{2}+15^2 }\) = \(\sqrt{289}\) = 17

Hence the length of the ladder is 17.0 feet to the nearest tenth of a foot.

Learn more about Pythagoras Theorem here :

https://brainly.com/question/26689586

#SPJ9

Answer:

Cos?=42/47

Cos?=0.89

?=Cos^-1(0.89)

?=27°

The system of linear equations represented on the graph will be no solution. Then the correct option is C.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equations are given below.

y = -(1/2)x + 4         ...1

y = -(1/2)x - 6         ...2

The slope of the lines are equal but have different intercepts then the system has no solution.

The system of linear equations represented on the graph will be no solution. Then the correct option is C.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ1

Using the cosine ratio, the length of BC to the nearest hundredth is: 4.91.

Cosine ratio is: cos ∅ = adjacent side/hypotenuse

Given the right triangle in the diagram above, thus:

Thus:

cos 35 = BC/6

BC = cos 35 × 6

BC = 4.91

Thus, using the cosine ratio, the length of BC to the nearest hundredth is: 4.91.

Learn more about cosine ratio on:

https://brainly.com/question/15793827

Answer:

1/12 more red rice then white rice

Step-by-step explanation:

3/4 = 0.75

2/3 = 0.666666....

Clearly Red rice is more but it will be difficult to state how much more in decimal form so we must use fraction form :

3/4 = 9/12

2/3 = 8/12

So there is 1/12 more red rice then white rice

Hope this helped and have a good day

The number of different frames you can create, if There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from, is 12.

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from,

Calculate the total number of frames, we can create as shown below,

The number of frames = different styles available for blue color × shades of blue

The number of frames = 4 × 3

The number of frames = 12

Thus, the number of frames you can create is 12.

To know more about the combination:

https://brainly.com/question/29594894

#SPJ1

Answer:

8a+32

Step-by-step explanation:

8(a+4)= 8a+32

Answer:

126

Step-by-step explanation:

We multiply 42 × 3= 126

The measure of the angle is 126.

The measure of angle will be 66°.

What is Complementary angle?

The sum of two or more angle is 90 degree then the angle is called the complementary angle.

Given that;

The measure of the supplement of an angle is 42 more than 3 times the measure of the complement of an angle.

Now,

Let the measure of angle = x

So, We can formulate;

⇒ (180 - x) = 42 + 3 (90 - x)

Solve for x as;

⇒ 180 - x = 42 + 270 - 3x

⇒ 180 - x + 3x = 312

⇒ 2x = 312 - 180

⇒ 2x = 132

⇒ x = 66

Thus, The measure of angle will be 66°.

Learn more about the complementary angle visit:

https://brainly.com/question/16281260

#SPJ2

Designing an easy do-it-yourself compost bin:

Drawing and Description:

The compost bin can be a simple structure made of wood or wire mesh. It consists of four sides, a bottom, and a removable lid. The sides and bottom are connected securely to form a rectangular shape, while the lid allows for easy access to the contents inside.

The bin can be placed directly on the ground or on a solid surface, depending on personal preference.

Materials Used:

Wood or wire mesh (depending on preference)

Nails or screws to assemble the structure

Size of the Bin:

The size of the bin can vary based on the available space and the amount of compostable materials you generate. A suitable size for a home compost bin could be approximately 3 feet wide, 3 feet deep, and 3 feet tall.

Substances Used to Fill It:

To fill the compost bin, you would need a mix of "green" and "brown" materials. "Green" materials include fruit and vegetable scraps, coffee grounds, tea leaves, grass clippings, and plant trimmings. "Brown" materials consist of dry leaves, shredded newspaper, cardboard, and small twigs.

Household Items That Can Go in It:

You can add a variety of household items to the compost bin, such as fruit and vegetable peels, eggshells, coffee grounds, tea bags, yard waste (leaves, grass clippings, plant trimmings), shredded paper, cardboard, and natural fibers (like cotton or wool scraps).

Time for Compost to Be Ready:

The time it takes for the compost to be ready varies depending on factors like temperature, moisture, and the type of materials used. Generally, it takes about 2 to 6 months for compost to fully decompose and become ready to use.

Using the Compost:

Once the compost has broken down into a dark, crumbly, and earthy material, it is ready to use. You can spread it in your garden beds or pots as a nutrient-rich soil amendment. It improves soil structure, retains moisture, and provides essential nutrients for plants' growth.

for similar questions on compost bin:

https://brainly.com/question/30423152

#SPJ11

The similar triangles for this problem are given as follows:

RST and VUT.

Then the measure VT is given as follows:

VT = 5.4 units.

Similar triangles are triangles that share these two features listed as follows:

Hence the similar triangles for this problem are given as follows:

RST and VUT.

The proportional relationship for the side lengths is given as follows:

6/14 = (x + 2)/(4x - 1).

Applying cross multiplication, the value of x is obtained as follows:

14(x + 2) = 6(4x - 1)

14x + 28 = 24x - 6

10x = 3.4

x = 3.4.

Then the length VT is given as follows:

VT = 3.4 + 2

VT = 5.4 units.

More can be learned about similar triangles at brainly.com/question/14285697

#SPJ1

As a result, the anticipated value in this circumstance is -$1,750, which probability suggests that if the architect decides to bid on the design of the new museum, she can expect to lose $1,750 on average.

Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% since there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many disciplines, including statistics, economics, science, and engineering.

0.15 x $45,000 = $6,750.

Consider the following scenario in which the architect is not granted the contract:

The likelihood of not winning the bid is 0.85.

In this case, the payback is -$10,000 (a negative value since the architect would lose the $10,000 cost of creating blueprints and presenting a model).

In this case, the anticipated value is:

0.85 x (-$10,000) = -$8,500.

We sum the anticipated values of both situations to determine the overall expected value:

$6,750 + (-$8,500) = -$1,750.

As a result, the anticipated value in this circumstance is -$1,750, which suggests that if the architect decides to bid on the design of the new museum, she can expect to lose $1,750 on average.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ1

H0: There is no link between state and preferred sport.

H1: There is a connection between state and preferred sport.

Given,

The question to be answered is whether the factor "state" and the factor "sporting choice" are related.

Therefore, the focus of the study is on "association" and whether or not state-to-state variations in athletic preference distributions exist. The most appropriate test in this instance is the test for association.

Unless there is evidence to the contrary, two things are assumed to not be related. Since the null hypothesis is assumed to be true, the following two hypotheses are the proper pair:

H0: There is no connection between a person's state and their preferred sport.

H1: The choice for sports and state are related.

Learn more about hypothesis here;

https://brainly.com/question/23335860

#SPJ4

The temperature at 8:00 A.M. was 15°C.

Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.

We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C

3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.

Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C

To know more about temperature refer to

https://brainly.com/question/24746268

Here we want to find an area equation as a function of the width for a given rectangle, and evaluate it in different values.

The image of the rectangle is missing, I think that I found the correct image online, and I will post it at the end of the answer.

We will get the table:

\(\left[\begin{array}{ccc}w&A\\1m&9m^2\\2m&16m^2\\3m&21m^2\\4m&24m^2\\5m&25m^2\\6m&24m^2\\7m&21m^2\\8m&16m^2\\9m&9m^2\end{array}\right]\)

Let's see how to find this.

We know that for a rectangle of length L and width W, the perimeter is given by:

P = 2*(W + L)

In this case, we have that the width is w, and the other side measures 10m - w

Then the perimeter will be:

P = 2*(w + 10m - w) = 2*10m = 20m

Which is the amount of fencing that you have, 20m.

Now that we saw that, we can write the area as the product of the two measures, so we have:

A(w) = w*(10m - w) = 10*w - w^2

What we want to do, is evaluate the function in different values of w, and complete a table of w vs A(w).

Where evaluate means, for example for w = 1m, we get:

A(1m) = 10m*1m - (1m)^2 = 10m^2 -1m^2 = 9m^2

And we want to do that for w from 1m to 9m.

Then we just compute:

A(2m) = 10m*2m - (2m)^2 = 20m^2 - 4m^2 = 16m^2

A(3m) = 10m*3m - (3m)^2 = 30m^2 - 9m^2 =  21m^2

A(4m) = 10m*4m - (4m)^2 = 40m^2 - 16m^2 =  24m^2

A(5m) = 10m*5m - (5m)^2 = 50m^2 - 25m^2 =  25m^2

A(6m) = 10m*6m - (6m)^2 = 60m^2 - 36m^2 =  24m^2

A(7m) = 10m*7m - (7m)^2 = 70m^2 - 48m^2 =  21m^2

A(8m) = 10m*8m - (8m)^2 = 80m^2 - 64m^2 = 16m^2

A(9m) = 10m*9m - (9m)^2 = 90m^2 - 81m^2 =  9m^2

Now that we got all the values, we put them in the table:

\(\left[\begin{array}{ccc}w&A\\1m&9m^2\\2m&16m^2\\3m&21m^2\\4m&24m^2\\5m&25m^2\\6m&24m^2\\7m&21m^2\\8m&16m^2\\9m&9m^2\end{array}\right]\)

If you want to learn more, you can read:

https://brainly.com/question/8629807

After answering the presented question, we can conclude that As a result, the average monthly rate of change in price during the housing bubble was $2,000.

The term "average rate" can have different meanings depending on the context in which it is used. In general, it refers to the amount of change that occurs over a certain period of time, divided by the length of that time period. Here are a few examples of how the term might be used in different fields.

The average monthly rate of change in price can be estimated by dividing the total price change by the number of months:

(final price - beginning price) / number of months = average rate of change

The beginning price was $240,000, the final price was $276,000, and the time duration was 18 months in this example. Hence, using these data, we can calculate the average rate of change as:

(276000 - 240000) / 18 = 36000 / 18 = 2000 Average rate of change

As a result, the average monthly rate of change in price during the housing bubble was $2,000.

To know more about average rate visit:

https://brainly.com/question/12395856

#SPJ1

Answer:

250 and 250.1

Answer:

250.1

Step-by-step explanation:

5002 divided by 20 equals 250.1

Step-by-step explanation:

all points on the x axis have a y value of 0.

so, we need to find all points (x, 0) with a distance of 16 to (4, -8).

the distance to a point is the Hypotenuse of the right-angled triangle with the coordinate differences as legs.

and so Pythagoras applies :

c² = a² + b²

with c being the Hypotenuse (side opposite of the 90° angle).

so, in our case we have

16² = (4-x)² + (-8 - 0)²

256 = 16 - 8x + x² + 64 = x² - 8x + 80

x² - 8x - 176 = 0

if we have no other idea of factorization the general solution of such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -8

c = -176

x = (8 ± sqrt((-8)² - 4×1×-176))/(2×1) =

= (8 ± sqrt(64 + 704))/2 = (8 ± sqrt(768))/2 =

= (8 ± sqrt(256×3))/2 = (8 ± 16×sqrt(3))/2 =

= 4 ± 8×sqrt(3)

x1 = 4 + 8×sqrt(3) = 17.85640646...

x2 = 4 - 8×sqrt(3) = -9.856406461...

so, the points on the x axis that are 16 units apart from (4, -8) are

(x1, 0) and (x2, 0)

I am not sure in what format you need the answer.

please fill in for x1 and x2 from above what you need.

If due to gravity, an object falls 16t^2 feet in t seconds. You drop a rock from a bridge that is 75 feet above the water. The rock will hit the water in 2 seconds?

Given data:

Object falls = 16t² feet in t seconds

Rock from a bridge = 75 feet above the water

So,

72 =16t²

t² = 72/16

t²=  4.5

t = √4.5

t  =  2.12 seconds to hit the water

Therefore we can conclude that the rock will hit the water in 2 seconds.

Learn more about seconds the rock will hit the rock here:https://brainly.com/question/28163822

#SPJ1

An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the multiplication law of exponents for powers to each of the expressions, we have the following:

4 × n × n × n × n = 4n⁴

4 × n⁴ = 4n⁴

Read more on exponent here: https://brainly.com/question/27858496

#SPJ1

The number that is illustrated based on the information about the fraction is -10.

It should be noted that in mathematics, a fraction is expressed as a quotient of a numerical. The numerator is divided by the denominator.

The number when n is multiplied by a power of 10 will be n^-10. It should be noted that this will then make a fraction of 1/n^10.

Therefore, the number that is illustrated based on the information about the fraction is -10.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

Answer: 1 water stations

Step-by-step explanation: Because that’s the only one with 90m length and 30m in width. Must place 60 metres