Sarah pays a flat rate plus a rate per minute for her phone plan as shown in the graph above. The cost of Sarah's phone plan, C(t), can be represented by which of the following functions? Responses C(t)=−0.10t+25 C t = - 0 . 10 t + 25 C(t)=0.10t+25 C t = 0 . 10 t + 25 C(t)=25(0.10)t C t = 25 0 . 10 t C(t)=25(1+0.10)t

Where the above conditions are given,  the correct option is: Plan 1 is a better deal for more than 5 cards purchased.

To determine   which pricing plan is a better deal,we need to compare the total cost for a certain number of game cards purchased.

Let's calculate the   total cost for different numbers  of game cards.

For Plan 1  -

- Admission fee  - $5 (fixed)

- Cost per game card  - $1

For Plan 2  -

- Admission fee  - $2.50 (fixed)

- Cost per game card  - $1.50

Now, let's compare the total cost for different numbers of game cards  -

1. If you purchase 1 game card  -

  - Plan 1  - $5 (admission fee) + $1 (cost per game card) = $6

  - Plan 2  - $2.50 (admission fee) + $1.50 (cost per game card) = $4

2. If you purchase 5 game cards  -

  - Plan 1  - $5 (admission fee) + $5 (cost for 5 game cards) = $10

  - Plan 2  - $2.50 (admission fee) + $7.50 (cost for 5 game cards) = $10

3. If you purchase 8 game cards  -

  - Plan 1  - $5 (admission fee) + $8 (cost for 8 game cards) = $13

  - Plan 2  - $2.50 (admission fee) + $12 (cost for 8 game cards) = $14.50

Based on these calculations, we can conclude that  -

- Plan 1 is a better deal for more than 5 cards purchased.

- Plan 2 is a better deal for more than 8 cards purchased.

Therefore, the correct option is  - Plan 1 is a better deal for more than 5 cards purchased.

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Answer:

answer is

4ft * 5ft

= 20ft^2

Answer:

-|7|, |4|, |2-9|, |6+4|

Step-by-step explanation:

I think this is correct

Answer:

Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

This is a kite.

The angle measures of the diagonals (the lines in the middle) are always going to be 90° if they looks like this without any other measures. This goes for all other quadrilaterals as well.

m∠2=90°

Hope I helped.

The total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

In the given power system depicted in Figure 1, there are three units that are always running. Each unit has specific characteristics regarding their minimum power output (Pmin), maximum power output (Pmax), and incremental cost (Ci). Let's discuss the characteristics of each unit and calculate the total cost of power generation for a given load demand.

Unit 1:

Pmin = 200 MW

Pmax = 500 MW

Ci = $50/MWh

Unit 2:

Pmin = 150 MW

Pmax = 400 MW

Ci = $40/MWh

Unit 3:

Pmin = 100 MW

Pmax = 300 MW

Ci = $30/MWh

To calculate the total cost of power generation for a given load demand, we need to determine the optimal power output for each unit. We start by considering the units with the lowest incremental cost first.

Suppose the load demand is D MW. We allocate the load demand to the units as follows:

Step 1: Check if Unit 1 can meet the load demand within its power range. If yes, allocate the load demand to Unit 1 and calculate the cost:

Cost1 = Ci * P1, where P1 is the power output of Unit 1.

Step 2: If there is still remaining load demand, allocate it to Unit 2:

Cost2 = Ci * P2, where P2 is the power output of Unit 2.

Step 3: If there is still remaining load demand, allocate it to Unit 3:

Cost3 = Ci * P3, where P3 is the power output of Unit 3.

Finally, the total cost of power generation, Cost_total, is the sum of Cost1, Cost2, and Cost3:

Cost_total = Cost1 + Cost2 + Cost3

To find the optimal power output for each unit, we consider the load demand and compare it to the minimum and maximum power output limits for each unit. The power allocation is based on meeting the load demand while minimizing the overall cost of power generation.

In summary, given the characteristics of the three units in the power system (Pmin, Pmax, and Ci), the total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

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Answer:

(x + 2)² + (y - 4)² = 16

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 2, 4 ) and r = 4 , then

(x - (- 2))² + (y - 4)² = 4² , that is

(x + 2)² + (y - 4)² = 16

Answer:

f(5) = 87

Step-by-step explanation:

Answer:

4,923.75ft²

Step-by-step explanation:

The area of the backyard = Length * width \

Area of the backyard = 75 3/4 * 81 1/4

Area of the backyard = 303/4 * 325/4

Area of the backyard = 6,154.6875ft²

If 3/4 of the fence is finished, the area of the finished part is expressed as;

Finished part = 1/5 * 6,154.6875

Finished part = 1,230.9375ft²

Part left unfinished = 6,154.6875-1,230.9375

Part left unfinished  = 4,923.75ft²

Answer:235.5

Step-by-step explanation:

75 3/4= 75.75 (L). 81 1/4= 81.25 (W)

Perimeter= 314 3/4 of 314 is 235.5

The p-value is 0.063, which indicates that there is not strong evidence to reject the null hypothesis that the percentage has stayed the same.

The p-value can be calculated by using a one-proportion z-test. The null hypothesis would be that the percentage has stayed the same from last year, and the alternative hypothesis is that the percentage has decreased.

The formula for the z-score is (x-p)/√(p(1-p)/n), where x is the observed proportion (39/260), p is the expected proportion (0.20), and n is the sample size (260). The p-value is then calculated using the z-score and the cumulative distribution function.

Therefore p-value, in this case, is 0.063, which indicates that there is not strong evidence to reject the null hypothesis that the percentage has stayed the same.

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Answer:

A

Step-by-step explanation:

general rule:  \((a^{x} )^{y} = a^{xy}\)

So, \((11^{-2})^{7} = 11^{-14}\)

Let's assume that the initial velocity of the frog is zero. Using the kinematic equations of motion, the height of the frog at any time can be determined as given below.
s = ut + 1/2at², where s is the distance, u is the initial velocity, a is the acceleration, and t is the time taken.
Here, s = 1.24 m - h (since the initial height of the frog is 1.24 m), u = 0 (since the initial velocity of the frog is zero),
a = -9.8 m/s² (the acceleration due to gravity), and t is the time taken. Let's assume that the frog reaches the ground after t seconds. Hence, 4.3 ft = 1.3 m

The height of the frog when it is at 4.3 ft above the ground can be written as: 1.3 m = -4.9t² + 1.24 m
By solving the above equation for time, we get, t = 0.575 s. The time taken by the frog to reach the ground is 0.575 seconds. Therefore, the horizontal distance traveled by the frog can be determined as: d = vt, where d is the horizontal distance, v is the velocity of the frog, and t is the time taken. v can be determined using the formula:
v = u + at. Here, u = 0 (since the initial velocity of the frog is zero), a = -9.8 m/s² (the acceleration due to gravity), and t is the time taken. Hence, v = -9.8 x 0.575 = -5.63 m/s. Thus, the horizontal distance traveled by the frog is given by:
d = vt = -5.63 x 0.575 = -3.24 m. Since the distance cannot be negative, the horizontal distance traveled by the frog is 3.24 m. Using the same method, we can determine the horizontal distance traveled by the frog in the other direction. Therefore, the two distances from the base of the stump where the frog was 4.3 feet above the ground after it jumped are 3.24 m and -3.24 m.

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Answer: Any amount of milage more than 30

Step-by-step explanation: You can write an equation to compare the relationship between the costs that looks like:

102<75+0.9m

27=0.9m

m=30

The most appropriate procedure from the given options that would improve the reliability and validity of grading short essay tests, thus addressing the complaint of sensitivity to bias and variability in grading, is: D) Using a scoring rubric.

A scoring rubric is a predefined set of criteria or guidelines that outlines the specific expectations and standards for evaluating student responses. By using a scoring rubric, the grading process becomes more objective, consistent, and transparent, thereby reducing bias and variability in grading.

A scoring rubric provides a structured framework that allows graders to assess and assign scores based on predetermined criteria, such as content knowledge, organization, clarity, coherence, and grammar. It ensures that all essays are evaluated using the same standards and eliminates subjective judgment as much as possible.

Administering more pretests (option A) may provide additional practice or feedback to students but does not directly address the issue of bias and variability in grading.

Grading on the curve (option B) adjusts grades based on the performance of other students in the class, which does not directly address bias or variability in grading. It can introduce its own set of issues and may not reflect the true quality of each individual student's work.

Implementing a contract system (option C) refers to a negotiated agreement between students and instructors regarding grading criteria, which may help clarify expectations but does not inherently address bias or variability.

Therefore, using a scoring rubric (option D) is the most appropriate procedure to improve the reliability and validity of grading short essay tests while minimizing sensitivity to bias and variability in grading.

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Answer:

(A) - V=11.8098 cm^3, The actual volume of a bouncy ball is less than the  estimation.

(B) -\(m=\rho V \Rightarrow w=mg\)

(C) - Yes, the \(A_{paper}\geq SA_{box}\)

Step-by-step explanation:

Given the three part question.

(A) - Given that 1000 bouncy balls fill a box (dimensions: 27cm by 27cm by 16.2cm) in its entirety. Estimate the volume of one bouncy ball.

(B) - Describe a method in which you could find the weight of one bouncy ball

(C) - Given a square piece of wrapping paper (24 by 24 in), is this enough to cover the entire box?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Part (A):

(1) - Compute the volume of the box

\(\boxed{\left\begin{array}{ccc}\text{\underline{Volume of a Box:}}\\\\V=l\times w\times h\end{array}\right}\)

\(V_{tot.}=l\times w\times h\\\\\Longrightarrow V_{tot.}=27\times 27\times 16.2\\\\\therefore \boxed{V_{tot.}=11809.8 \ cm^3}\)

(2) - Use the volume we just found to estimate the volume of one bouncy ball

\(\boxed{\left\begin{array}{ccc}\text{\underline{Volume of One Bouncy Ball:}}\\\\V_{1 \ ball}=\frac{V_{tot.}}{1000} \end{array}\right}\)

\(V_{1 \ ball}=\frac{V_{tot.}}{1000}\\\\\Longrightarrow V_{1 \ ball}=\frac{11809.8}{1000} \\\\\therefore \boxed{V_{1 \ ball} \approx 11.8098 \ cm^3}\)

Thus, the estimated volume of one ball is found. Now, is this the actual volume of one ball? No, the actual volume of 1 ball would be less than the value we just computed. This is because there is space left between each ball. I have attached an image for you to visualize.

Part (B):

One way you could find the weight of one balls is by find the ball's mass using the following formula. You would have to look up the density of the bouncy ball's material.

\(mass=density\times volume \rightarrow \boxed{m=\rho V}\)

Then using the value you find for mass you could then use the following formula to determine 1 ball's weight.

\(weight=mass \times gravity \rightarrow \boxed{w=mg}\)

Part (C):

(1) - Compute the surface area of the box

\(\boxed{\left\begin{array}{ccc}\text{\underline{Surface Area of a Rectangular Box:}}\\\\SA=2(wl+hl+hw)\end{array}\right}\)

\(SA_{box}=2(wl+hl+hw)\\\\\Longrightarrow SA_{box}=2((16.2)(27)+(27)(27)+(27)(16.2))\\\\\Longrightarrow SA_{box}=2(437.4+729+437.4)\\\\\Longrightarrow SA_{box}=2(1603.8)\\\\\therefore \boxed{SA_{box}=3207.6 \ cm^2}\)

(2) - Compute the surface area of the square piece of wrapping paper

\(\boxed{\left\begin{array}{ccc}\text{\underline{ Area of a Square:}}\\\\A=s^2\end{array}\right}\)

\(A_{paper}=s^2\\\\\Longrightarrow A_{paper}=(24)^2\\\\\therefore \boxed{A_{paper}=576 \ in^2}\)

(3) - The surface area of the box and wrapping paper are in different units. So, we must do a unit conversion

\(\boxed{1 \ cm^2 =0.155 \ in^2}\)

\(\frac{3207.6 \ cm^2}{1} \times \frac{0.155 \ in^2}{1 \ cm^2}=\boxed{497.178 \ in^2} =SA_{box}\)

(4) - The wrapping paper will completely cover the box if \(A_{paper}\geq SA_{box}\)

\(576 \ in^2\geq 497.178 \ in^2 \therefore \text{The wrapping paper will cover the box}\)

Thus, all parts have been answered.

The change in the temperature is 11°.

Temperature is the physical quantity which describes, how much hot is something? Or we can say it is the quantity which measures the hotness and coldness of something. There are two main quantity values to measure the temperature which are Celsius and Fahrenheit.

Mathematically we can write :

1° Celsius = 32 Fahrenheit

Suppose if we have temperature of two difference time space then we can easily find the difference between the two by simply subtracting them.

For the given question,

last year temperature = 82 degree

temperature today = 71 degree

therefore the change in the temperature in one year is :

82 - 71 = 11 degree.

Thus , the change in temperature is 11 degree.

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Answer:

Is it 12?Yes,I think it's 12.

Answer:

a. x - cd = 0

b. d = 1 / 2

Step-by-step explanation:

d = 2

c = 7

a.

c is inversely proportional to d,

c ∝ 1 / d

This inversely proportional need to be removed by using a variation / variable.

Let the variable be " x ".

c = x / d

Multiply d on both sides,

cd = x

x = cd

Subtract cd on both sides,

x - cd = 0

Hence, the equation is " x - cd = 0 ".

b.

By using the equation,

x - cd = 0

Add cd on both sides,

x = cd

c = 17, d = 2

x = 17 * 2

x = 34

To find d, when c = 68.

x = cd

34 = 68 * d

Divide 68 on both sides,

34 / 68 = d

1 / 2 = d

d = 1 / 2

Answer:

The approximate volume of the whole shape is 41.9 in

Step-by-step explanation:

Provided:

height = 6

radius = 2

The total volume:

Variables:

\(Vt = total\;volume\)

\(Vcone = volume\:of\:a\:cone=\dfrac{ 1 }{ 3 } \pi { r }^{ 2 } h\)

\(Vhemisphere = volume\:of\:a\:hemisphere= \dfrac{ 2 }{ 3 } \pi { r }^{ 3 }\)

\(Vt = Vcone + Vhemisphere\)

\(Vt = \dfrac{ 1 }{ 3 } \pi { r }^{ 2 } h+ \dfrac{ 2 }{ 3 } \pi { r }^{ 3 }\)

\(Vt = \dfrac{ 1 }{ 3 } \left( 3.14 \right) { \left( 2 \right) }^{ 2 } \left( 6 \right) + \dfrac{ 2 }{ 3 } \left( 3.14 \right) { \left( 2 \right) }^{ 3 }\)

\(\mathrm{Remove\:all\:parenthesis}\)

\(Vt = \dfrac{ 1 }{ 3 }\times \left 3.14 \right\times { \left 2 \right }^{ 2 }\times \left 6 \right + \dfrac{ 2 }{ 3 } \times\left 3.14 \right\times { \left 2 \right }^{ 3 }\)

\(\mathrm{Do\:the\:exponents\:first}\)

\(Vt = \dfrac{ 1 }{ 3 }\times \left 3.14 \right\times 4\times \left 6 \right + \dfrac{ 2 }{ 3 } \times\left 3.14 \right\times 8\)

\(\mathrm{Multiply\:\dfrac{ 1 }{ 3 }\:and\:3.14}\)

\(Vt = 1.04666667 \right\times 4\times \left 6 \right + \dfrac{ 2 }{ 3 } \times\left 3.14 \right\times 8\)

\(\mathrm{Multiply\:\dfrac{ 2 }{ 3 }\:and\:3.14}\)

\(Vt = 1.04666667 \right\times 4\times \left 6 \right + 2.09333333\times 8\)

\(\mathrm{Multiply\:1.04666667\:by\:4\:and\:then\:by\:6}\)

\(Vt = 25.12 + 2.09333333\times 8\)

\(\mathrm{Multiply\:2.09333333\:by\:8}\)

\(Vt = 25.12 + 16.746667\)

\(\mathrm{Add\:25.12\:and\:16.746667}\)

\(Vt = 41.866667\)

\(\mathrm{41.866667\:rounded\:to\:the\:nearest\:tenth\:is\:41.9}\)

\(Vt = 41.9\)

Answer:

Well n=6

Step-by-step explanation:

This is because if 0=m you put that in the spot were m is and then that would be 0/5 which is 0 than you add 6 which 0+6 = well 6. Then you just plug your x's in to the equation (second part) but if you don't have a x you plug the y in instead.

the probability of being broke at the end of the game is essentially 100%.

we can consider each coin flip as a separate event, with a probability of 0.5 for heads and 0.5 for tails. Let's calculate the probability of being broke at the end of the game.
First, we need to consider how many flips it would take to go from $60 to $0. If we keep losing $1 per flip, we would need to lose 60 times to reach $0. The probability of losing 60 times in a row is (0.5)^60, which is an extremely small number.
Secondly, we need to consider how many flips it would take to reach $100. If we keep winning $1 per flip, we would need to win 40 times to reach $100. The probability of winning 40 times in a row is (0.5)^40, which is also an extremely small number.
It is highly unlikely that someone would lose 60 times in a row, but it is still a possibility. As the number of flips increases, the probability of being broke becomes more and more certain.
In conclusion, while the probability of being broke at the end of the game is not exactly 100%, it is extremely close to that value.

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We will have the following:

First, we determine the total:

Now, we determine how much the patient will drink:

So, the patient will have to drink 32oz.

Step-by-step explanation:

Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649

Angle = arctan(-4/-12) = 198 degrees

The Magnitude: 12.649 and Direction: 18° (option c).

To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:

Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)

Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)

where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.

Let's calculate:

Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)

Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°

Since we need to round the direction to the nearest degree, the direction is approximately 18°.

So, the correct answer is:

Magnitude: 12.649 (rounded to the thousandths place)

Direction: 18° (rounded to the nearest degree)

The correct option is: 12.649; 18°

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a. To find the direction of the vector p1p2⇀, we subtract the coordinates of p1 from the coordinates of p2: (x2 - x1, y2 - y1, z2 - z1).

For the given points:

1. p1(-1, 1, 5), p2(2, 5, 0): The direction of p1p2⇀ is (2 - (-1), 5 - 1, 0 - 5) = (3, 4, -5).

2. p1(1, 4, 5), p2(4, -2, 7): The direction of p1p2⇀ is (4 - 1, -2 - 4, 7 - 5) = (3, -6, 2).

3. p1(3, 4, 5), p2(2, 3, 4): The direction of p1p2⇀ is (2 - 3, 3 - 4, 4 - 5) = (-1, -1, -1).

4. p1(0, 0, 0), p2(2, -2, -2): The direction of p1p2⇀ is (2 - 0, -2 - 0, -2 - 0) = (2, -2, -2).

b. To find the midpoint of the line segment p1p2⇀, we take the average of the coordinates of p1 and p2: ((x1 + x2)/2, (y1 + y2)/2, (z1 + z2)/2).

For the given points:

1. p1(-1, 1, 5), p2(2, 5, 0): The midpoint of p1p2⇀ is ((-1 + 2)/2, (1 + 5)/2, (5 + 0)/2) = (0.5, 3, 2.5).

2. p1(1, 4, 5), p2(4, -2, 7): The midpoint of p1p2⇀ is ((1 + 4)/2, (4 + (-2))/2, (5 + 7)/2) = (2.5, 1, 6).

3. p1(3, 4, 5), p2(2, 3, 4): The midpoint of p1p2⇀ is ((3 + 2)/2, (4 + 3)/2, (5 + 4)/2) = (2.5, 3.5, 4.5).

4. p1(0, 0, 0), p2(2, -2, -2): The midpoint of p1p2⇀ is ((0 + 2)/2, (0 + (-2))/2, (0 + (-2))/2) = (1, -1, -1).

a. To find the direction of a vector, we subtract the coordinates of its initial point from the coordinates of its terminal point. This gives us a vector that represents the change in position from the initial point to the terminal point. In this case, we subtract the coordinates of p1 from the coordinates of p2. The resulting vector represents the direction of movement from p1 to p2.

b. To find the midpoint of a line segment, we take the average of the coordinates of its

two endpoints. This gives us a point that lies exactly halfway between the two endpoints. In this case, we add the coordinates of p1 and p2 and divide each sum by 2 to find the average. The resulting point represents the midpoint of the line segment p1p2⇀.

By finding the direction and midpoint of a line segment, we can gain insight into its geometric properties. The direction vector provides information about the orientation and magnitude of the line segment, while the midpoint gives us a central reference point. These calculations are fundamental in geometry and can be applied in various contexts, such as determining the slope of a line or finding the center of a line segment.

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D.

area of triangle = 1/2 × base × height

therefore,

1/2× 9× 13= 58.5in^2

The area of the triangle with a base of 9 inches and height of 13 inches  is 58.5in^2

We have given that,9 in,16 in, and 13 in

Drawing not to scale

We have given that the triangle

area of triangle = 1/2 × base × height

therefore,

Use the given value in the formula so we get

\(1/2\times 9 \times 13= 58.5in^2\)

Therefore the area of the triangle is 58.5in^2.

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By comparing their new hotel to established hotels in the same region and utilizing the data to optimise energy use and save expenses, a hotel firm can make educated judgements about the energy efficiency of their new hotel.

According to the given data,

Since we have information on 16 hotels in a city regarding their energy efficiency, area, age, number of rooms, and occupancy rate.

This information can be used to analyze the energy efficiency of these hotels and make comparisons between them.

To get started, we can calculate the average energy efficiency of the 16 hotels.

The mean energy consumption is 6,229.33 (the sum of energy consumption values divided by 16).

We can also calculate other statistics such as the minimum and maximum energy consumption, the median, and the standard deviation to get a better idea of the range of energy consumption among the hotels.

Additionally, we can create visualizations such as graphs to show the relationship between energy efficiency and other variables such as area, age, number of rooms, and occupancy rate.

can help identify any patterns or correlations between these variables and energy efficiency.

Overall, with this data, a hotel company can make informed decisions about the energy efficiency of their new hotel by comparing it to established hotels in the same area and using the data to optimize energy usage and reduce costs.

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Answer:

\(x\geq -4\)

Step-by-step explanation:

\(3x-9\geq-21\)

add 9 to both sides

\(3x-9+9\geq -21+9\)

\(3x\geq -12\)

divide both sides by 3  

\(\frac{3}{3}x \geq \frac{-12}{3}\)

\(x\geq -4\)

Plot a solid dot on -4 on the number line because the inequality sign is great than or equal to and x the great than or equal to -4.

The arrow is then pointed to the left >>>>

Answer:

\(x^2+7x-8-\frac{3}{x-7}\)

Step-by-step explanation:

I think this question is a bit hard to explain by typing, so I'll add an image down below.  

I used long division for this question, and the final answer is: \(x^2+7x-8-\frac{3}{x-7}\)

A function that satisfies the condition of having its square plus the square of its derivative equal to 1 is given by f(x) = sin(x).

The function f(x) = sin(x) has the property that its square, sin^2(x), is equal to 1 when added to the square of its derivative, \($\frac{d}{dx}\sin(x))^2 = \cos^2(x)$\).

This can be seen by directly evaluating the expression: \(sin^{2}(x) + cos^{2}(x) = 1\), which is a fundamental identity in trigonometry.

The sine function is periodic with a period of 2π, and its derivative, cosine function, also has the same period. This means that for any x, the function sin(x) and its derivative cos(x) will satisfy the given condition.

Geometrically, the sine function represents the y-coordinate of a point on the unit circle as the corresponding angle is varied. Its derivative, the cosine function, represents the rate of change of this y-coordinate with respect to the angle. The squares of the sine and cosine functions add up to 1, which is the square of the radius of the unit circle. This property is fundamental in trigonometry.

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Answer:

if Maria sells 6 she will make 12 add base wage she earned 15. if eve sells 1 she will also make a profit of 15