The angles 40 and 50° are complementary. Determine sin 40° and cos 50°. Make a conjecture about the sines and cosines of complementary angles, and test this hypothesis with oth pairs of complementa

Answer: the answer is correct

Step-by-step explanation:

the color is green, you're just color-blind not red I got it correct the first time (no I did not it's just sad)

Answer:

5, 6, and 8 don’t have solutions because they are parallel / have the same slope. 7 has a solution outside of the domain and range of this graph.

Step-by-step explanation:

I’m honestly not sure about 7, it seems like it should be parallel as well. tell me if I should redo it lol.

Answer:

what the hell is this question

Answer:

I think the answer would be $21

Step-by-step explanation:

On a calculator you type 108.53 then divide it by six and add 18%.

Answer:

they lost 2

Step-by-step explanation:

Answer:

This is very easy question

Answer:

3m – 2n = 8,

or, 3m = 8+2n

or, m= 8+2n/3

Answer: m=8/3+2n/3

Step-by-step explanation:

In 2018 there are 1079 restaurants using the equation y=980+16.5x .

What is equation?

In algebra, in its simplest form, the definition of an equation is a mathematical statement that two mathematical expressions are equal. For example, 3x 5 = 14 is an equation where 3x 5 and 14 are two terms separated by an equal sign. There are two types of equations: identities and conditionals. Equality applies to all values ​​of the variable. A conditional expression applies only to specific values ​​of a variable. Equations are written as two expressions joined by an equal sign ("=").

Here  restaurants in the United States is ,

=> 2012 = 980

=> 2016 = 1,046

Here in 4 years difference  (2016 - 2012),

=> 1046-980 = 66 more restaurants .

Then in 4 years = 66 restaurants, Then

In 1 year = 66/4 = 16.5 .

Now slope m = 16.5

The order pair of the relationship between years and restaurants ,

(0, 980) and (4, 1,046)

Now the equation ,

=> y = 980+16.5 x

where Y = number of restaurants in one year

x = number of years in the past.

Number of restaurants in 2018,

=> Y = 980 + 16.5x

Years 2018-2012 = 6 years

Forecast number of restaurants,

=> Y = 980 + 16.5(6)

=> 1,079

Therefore the equation is y=980+16.5x and In 2018 there are 1079 restaurants.

To learn more about equation refer the below link

https://brainly.com/question/2972832

#SPJ4

Answer: a) To find the equation of line PS, we first need to find the slope of the line L1 which is given by:

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

= (3 - 5) / (-2 - 0)

= 2/2

= 1

Since PS is parallel to L1, it also has the same slope. We can now use the point-slope form of the equation of a line to find the equation of PS, using the point P(1,2):

y - y1 = m(x - x1)

y - 2 = 1(x - 1)

y - x + 2 = 0

Therefore, the equation of line PS is y - x + 2 = 0.

b) To find the coordinates of S, we know that S lies on line PS and also on the line passing through points (6,4) and P(1,2). Let's call the coordinates of S as (x,y). Since S lies on line PS, we know that y - x + 2 = 0. We can also use the slope formula to find the slope of line PS:

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

Since PS is parallel to line L1, we know that slope_PS = 1. Therefore, we can write:

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

y - 2 = x - 1

y = x + 1

Now, we can use the fact that S also lies on the line passing through points (6,4) and P(1,2). This line has the equation:

(y - 4) / (x - 6) = (2 - 4) / (1 - 6)

(y - 4) / (x - 6) = -2/-5

(y - 4) / (x - 6) = 2/5

We can solve for y in terms of x:

y - 4 = (2/5)(x - 6)

y = (2/5)x - 8/5 + 4

y = (2/5)x + 6/5

Now, we can set the two equations for y equal to each other, since they both represent the y-coordinate of point S:

x + 1 = (2/5)x + 6/5

Solving for x, we get:

x = 2

Substituting x = 2 into either of the equations for y, we get:

y = 3

Therefore, the coordinates of S are (2,3).

c) To find the coordinates of Q, we can use the fact that PQ is parallel to SR and PS is parallel to QR. This means that PQRS is a parallelogram and its opposite sides are parallel. Since we know the coordinates of P and S, we can find the coordinates of Q and R by adding or subtracting the appropriate vector from P and S.

The vector that we need to add to P to get Q is the same vector that we need to add to S to get R, which is given by the displacement vector PS = <5,1>. Therefore:

Q = P + PS

= <1,2> + <5,1>

= <6,3>

Therefore, the coordinates of Q are (6,3).

d) To find the equation of line L2 which is the perpendicular bisector of line QR, we first need to find the midpoint of QR. The midpoint formula is given by:

midpoint = [(x1 +)]

We can then find the midpoint of QR using the midpoint formula:

midpoint of QR = ((-4 + 1)/2, (7 + 4)/2) = (-1.5, 5.5)

So the slope of L2 is the negative reciprocal of the slope of QR:

slope of L2 = -1/slope of QR = -(7-5)/(1+4) = -2/5

We can use the point-slope form of the equation of a line to find the equation of L2. We know that L2 passes through the midpoint of QR, so we can use the point (-1.5, 5.5):

y - 5.5 = (-2/5)(x + 1.5)

Simplifying and rearranging, we get:

y = (-2/5)x + 7.5

Therefore, the equation of line L2 is y = (-2/5)x + 7.5.

Answer:

x=-2 and y=5

Step-by-step explanation:

the answer are in the images above

The inventory management model that should be used to solve this problem is the Model Economic Quantity to Order (EOQ) model. The optimal number of notebooks to make in each order is 590 units. The annual ordering cost (AOC) is approximately $892.20. The Annual Holding Cost (AHC) is $3540. The annual product cost (APC) is $233,460. The annual total cost of managing inventory (ATC) is approximately $237,892.20. The total number of orders in the year (N) is 33. The estimated time between each order (T) is approximately 7.58 days. The daily demand is approximately 77.82 units. The reorder point (ROP) is approximately 311 units.

The inventory management model that should be used to solve this problem is the Model Economic Quantity to Order (EOQ) model.

To find the optimal number of notebooks to make in each order, we can use the EOQ formula:

EOQ = √[(2 * Demand * Ordering Cost) / Holding Cost]

EOQ = √[(2 * 19455 * 27) / 6]

EOQ ≈ 589.96

Since the number of notebooks must be a whole number, the optimal number to order would be 590 notebooks.

The annual ordering cost (AOC) can be calculated by dividing the annual demand by the EOQ and multiplying it by the ordering cost:

AOC = (Demand / EOQ) * Ordering Cost

AOC = (19455 / 590) * 27

AOC ≈ $892.20

The Annual Holding Cost (AHC) is calculated by multiplying the EOQ by the holding cost per unit:

AHC = EOQ * Holding Cost

AHC = 590 * 6

AHC = $3540

The annual product cost (APC) is calculated by multiplying the annual demand by the cost per unit:

APC = Demand * Cost per unit

APC = 19455 * 12

APC = $233,460

The annual total cost of managing inventory (ATC) is the sum of the annual ordering cost, annual holding cost, and annual product cost:

ATC = AOC + AHC + APC

ATC = 892.20 + 3540 + 233460

ATC ≈ $237,892.20

The total number of orders in the year (N) can be calculated by dividing the annual demand by the EOQ:

N = Demand / EOQ

N = 19455 / 590

N ≈ 33

The estimated time between each order (T) can be calculated by dividing the number of working days in a year by the total number of orders:

T = Number of working days / N

T = 250 / 33

T ≈ 7.58 days

The daily demand is calculated by dividing the annual demand by the number of working days in a year:

Daily Demand = Demand / Number of working days

Daily Demand = 19455 / 250

Daily Demand ≈ 77.82 units/day

The reorder point (ROP) is the number of units at which a new order should be placed. It can be calculated by multiplying the daily demand by the lead time (time taken for the supplier to deliver the order):

ROP = Daily Demand * Lead Time

ROP = 77.82 * 4

ROP ≈ 311.28 units

Therefore, the reorder point would be approximately 311 units.

To know more about Model Economic Quantity,

https://brainly.com/question/29489377

#SPJ11

Collection of domestic animals is a set. However, a collection of big domestic animal is not a set as it is a subset.

Domestic animals are known to bee  dogs, cats, etc. that can live along with humans.

Note that Collection of domestic animals is a set but the collection of big domestic animal is a subset of domestic animals this is because the big domestic animal are part of the domestic animals and as such it will be a subset.

Learn more about animals from

https://brainly.com/question/14442826

#SPJ1

Answer: 4 units, 3 units

Step-by-step explanation:

The side length of the square is measured to be 4 units on the graph

The height can be seen to be 3 units on the graph

4 units on each side

Height is 3 units

Step-by-step explanation:

Perpendicular height is 3 squares up, from the base of the square, to the top of the triangles.

The square measures 4 by 4 on each side.

Hope this helps!

Pi is a symbol in mathematics that represents the ratio of the circumference of a circle to its diameter. Its symbol looks like this: π.

The number π is a mathematical constant that is approximately equal to 3.14. It is a non-repeating, non-terminating decimal that has been determined to more than one trillion decimal places. The symbol π (pronounced "pi") represents the ratio of the circumference of a circle to its diameter. The value of π is used in numerous mathematical equations, including those related to circles, spheres, and trigonometry.

Pi is irrational because it is a non-repeating, non-terminating decimal. This means that it cannot be represented as a simple fraction or ratio of two numbers. Pi is an important mathematical constant that is used in a variety of calculations in mathematics and physics, including the calculation of the area and circumference of a circle.

To know more about Pi: https://brainly.com/question/30588127

#SPJ11

Answer:

Step-by-step explanation:

√(c-2) - √c = 5

√(c-2) = √c + 5

c-2 = c + 10√c +25

Answer:

mAngleY < mAngleZ < mAngleX

Step-by-step explanation:

Since m ≥ 6

Let's assume m = 7

XY = m + 8 = 7 + 8 = 15

YZ = 2 m + 3 = 2(7) + 3 = 17

ZX = m - 3 = 7 - 3 = 4

When solved, the angles of the triangle are given below;

∠X = 113.58

∠Y = 12.45

∠Z = 53.97

Arranging in order;

∠Y <  ∠Z  <  ∠X

The correct option is;

mAngleY < mAngleZ < mAngleX

Answer:

B

Step-by-step explanation:

Trust the process

The research reveals that emotional people tend to be more satisfied with their jobs, committed to their employer, and produce more work than conscientious individuals is False.

Emotional intellect is the capacity to recognize and regulate a person's emotions and comprehend the emotions the others. A high EQ helps you to build connections, lower team stress, defuse battles and improve job fulfillment.

It can help a graduate evolve the best at what they do, be the best coworker possible, and achieve professional victory. Communication, partnership, and relationship-building skills are enhanced by higher levels of emotional intelligence. It also enables best focus on the work.

To learn more about research on emotional people

https://brainly.com/question/29586209

#SPJ4

The complete question is-

research reveals that emotional people tend to be more satisfied with their jobs, committed to their employer, and produce more work than conscientious individuals.

a. True

b. False

Answer:

On a Sunday?

Step-by-step explanation:

The scale used but Brenda is 1 inch = 5 feet

A scale is used to give context to the user about the size of the area that map covers. It is made by converting real-life measurements into physical measurements for quick calculations.

Brenda measured the middle school and made a scale drawing.

The actual length of the gym = 90 ft.

The length she used in her drawing = 18 inches.

So we will now find the scale used for this drawing,

18 inches = 90 ft.

therefore, 1 inch = 90/18 ft.

             i.e. 1 inch = 5 ft.

Hence, The scale used but Brenda is 1 inch = 5 feet.

Read more about Scales:

brainly.com/question/24693076

#SPJ4

Answer:

$1725

Step-by-step explanation:

15 percent of 1500 = 225 and then you add 225 to 1500, 225 + 1500 = 1725

Answer:

it is absolutely true:)

hope this helps

Use the distributive property (of which the FOIL method is a special case):

(a - b) (a² + ab + b²)

= (a - b) a² + (a - b) ab + (a - b) b²

= (a³ - a²b) + (a²b - ab²) + (ab² - b³)

= a³ - b³

Alternatively, you can distribute the quadratic expression over each term in a - b :

(a - b) (a² + ab + b²)

= a (a² + ab + b²) - b (a² + ab + b²)

= (a³ + a²b + ab²) - (a²b + ab² + b³)

= a³ - b³

The answers are given as 1) 165 m 2)3 seconds 3) 9 seconds 4)120 m

A curve is defined as a smoothly- flowing continuous line that has bent. It does not have any sharp turns. The way to identify the curve is that the line bends and changes its direction at least once. Curve of the graph is a pictorial representation of a particular function.

Given :  A object is thrown from the top of the building thus by observing the graph we derive the following information

1) Maximum height = 165 m

2) The object reaches maximum height at t=3 seconds

3) The time it took to reach the ground is 9 seconds

4) The building is 120 m tall

Hence, the answers are  1) 165 m 2)3 seconds 3) 9 seconds 4)120 m

Learn more about curves here:

https://brainly.com/question/28793630

#SPJ1

Answer:

7+(5 3/10+ 2 2/10) = 12 5/10

The mathematical expression will be;

⇒ 7 + (5 3/10 + 2 2/10)

⇒ 145/10

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''Seven plus the sum of five and three tenths and two and two tenths​.''

Now,

Since, The algebraic expression is,

''Seven plus the sum of five and three tenths and two and two tenths​.''

Hence, We can formulate;

The mathematical expression as;

⇒ 7 + (5 3/10 + 2 2/10)

⇒ 7 + (53/10 + 22/10)

⇒ 7 + (75/10)

⇒ (70 + 75) / 10

⇒ 145/10

Thus, The value of the expression is,

⇒ 145/10

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

hope this helps! feel free to clarify if unsure

According to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.

According to the liquidity preference hypothesis, the interest rate for a long-term investment is expected to be equal to the average short-term interest rate over the investment period. In this case, the expected forward rate for the third year is stated as 4.28%.

To calculate the expected forward rate for the third year, we first need to calculate the prices of zero-coupon bonds for each year. Let's start by calculating the price of a four-year zero-coupon bond, which is determined to be $731.74.

The rate of return on a four-year zero-coupon bond is then calculated as follows:

Rate of return = (1000 - 731.74) / 731.74 = 0.3661 = 36.61%.

Next, we use the yield of the four-year zero-coupon bond to calculate the price of a three-year zero-coupon bond, which is found to be $526.64.

The expected rate in the third year can be calculated using the formula:

Expected forward rate for year 3 = (Price of 1-year bond) / (Price of 2-year bond) - 1

By substituting the values, we find:

Expected forward rate for year 3 = ($959.63 / $865.20) - 1 = 0.1088 or 10.88%

If ∆ (delta) is 1%, we can calculate the expected forward rate in the third year as follows:

Expected forward rate for year 3 = (1 + 0.1088) × (1 + 0.01) - 1 = 0.1218 or 12.18%

Therefore, according to the liquidity preference hypothesis, the expected forward rate in the third year, when ∆ is 1%, is 12.18%.

Additionally, the yield to maturity on a three-year zero-coupon bond can be calculated using the formula:

Yield to maturity = (1000 / Price of bond)^(1/n) - 1

Substituting the values, we find:

Yield to maturity = (1000 / $526.64)^(1/3) - 1 = 0.1035 or 10.35%

Hence, the yield to maturity on a three-year zero-coupon bond is 10.35%.

In conclusion, according to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.

Learn more about interest rate

https://brainly.com/question/28272078

#SPJ11

Answer:

B) -9 + 4 2/3

Explanation:

The answer is B because -9 - (-4 1/3) is -4 2/3 which is equal to -14/3, so that means B also has the same sum.

I hope this helps you! :)

We are given that the inside diameter of a piston ring is a random variable with mean value 10 cm and standard deviation 0.07 cm.

We are asked to find the sampling distribution of the sample mean diameter for two different random samples of n=16 and n=64 piston rings, respectively, and to calculate the standard deviation of each sampling distribution.

The sampling distribution of the sample mean diameter is the distribution of all possible sample means that could be obtained from a given sample size n.

The central limit theorem tells us that for large enough sample sizes (typically n ≥ 30), the sampling distribution of the sample mean is approximately normal, regardless of the shape of the underlying population distribution.

The mean of the sampling distribution of the sample mean is equal to the population mean, and the standard deviation of the sampling distribution is equal to the population standard deviation divided by the square root of the sample size.

For the first random sample of n=16 piston rings, the center of the sampling distribution of the sample mean diameter is still 10 cm, as this is the population mean.

However, the standard deviation of the sampling distribution is equal to the population standard deviation of 0.07 cm divided by the square root of 16, which is 0.0175 cm. Therefore, the standard deviation of the sampling distribution of the sample mean diameter for the first random sample is 0.0175 cm.

For the second random sample of n=64 piston rings, the center of the sampling distribution of the sample mean diameter is still 10 cm, but the standard deviation of the sampling distribution is equal to the population standard deviation of 0.07 cm divided by the square root of 64, which is 0.00875 cm.

Therefore, the standard deviation of the sampling distribution of the sample mean diameter for the second random sample is 0.00875 cm.

Finally, we are asked which of the two random samples is more likely to have a sample mean diameter within 0.01 cm of 10 cm. Since the standard deviation of the sampling distribution of the sample mean decreases as the sample size increases, the second random sample of n=64 piston rings is more likely to have a sample mean diameter within 0.01 cm of 10 cm.

This is because the decreased variability of the sampling distribution means that the sample means are more tightly clustered around the population mean of 10 cm. Therefore, we can conclude that the second random sample is more precise than the first random sample.

In statistics, a random sample is a subset of a larger population that is selected in such a way that each member of the population has an equal chance of being included in the sample.

Random sampling is a crucial tool for drawing conclusions about a population based on a smaller subset of data. In this problem, we will explore the sampling distribution of the sample mean for two different random samples of piston rings.

To know mare about random sample refer here:

https://brainly.com/question/29852583#

#SPJ11