find cos 200 with soluti
on​

Answers

Answer 1

Step-by-step explanation:

Since, cos 200°

= 1/sec 200°⇒ cos 200°

= 1/(-1.0641)

= -0.9397

Answer 2

Answer:

approximately -0.93969


Related Questions

Please help, this is probably the last question I'll post for today!

Please help, this is probably the last question I'll post for today!

Answers

Answer:

The answer is A.

Step-by-step explanation:

3+6=9

-5-9=-14

-14/2

Hope this helps! :)

Answer:

Answer is A. -7

Step-by-step explanation:

-5-(3+6)/2. PEMDAS (Parenthesis)

-5-9/2 Add/Subtract & Slash and dash = -5 + -9 = -14

-14/7= -7/1 which is just -7

(ii) Compare the length sum and structural length index of two SCARA robots. Assume the prismatic link travel for both robots is 5 inches and one of the robots has arm lengths of 3 inches and 1 inch and the other has equal arm lengths of 2 inches each.

Answers

The length sum and structural length index of both SCARA robots are equal even though their arm lengths are different.

Given prismatic link travel for both robots is 5 inches. The first robot has arm lengths of 3 inches and 1 inch. The second robot has equal arm lengths of 2 inches each. Compare the length sum and structural length index of two SCARA robots: First, calculate the length sum for each robot. Length sum for the first robot:

Length of the first arm = 3 inches

length of the second arm = 1 inch

Prismatic link travel = 5 inches

Length sum = length of first arm + length of second arm + prismatic link travel

Length sum = 3 + 1 + 5

Length sum = 9 inches

Length sum for the second robot: Length of the first arm = 2 inches

Length of the second arm = 2 inches

Prismatic link travel = 5 inches

Length sum = length of first arm + length of second arm + prismatic link

travel length sum = 2 + 2 + 5

Length sum = 9 inches, the length sum of both robots is equal.

Structural length index = (2 + 2) / 5Structural length index = 0.8

The structural length index of both robots is also equal.

Hence, the length sum and structural length index of both SCARA robots are equal even though their arm lengths are different.

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what will it cost to carpet of a rectangular floor measuring 27 feet by 15 feet if the carpet costs $28.20 per square yard? (round up to nearest cent.)

Answers

The cost to carpet a rectangular floor measuring 27 feet by 15 feet is $1269

Information about the problem:

Length = 27 ftWidth = 15 ftCost per square yard= $28.20 / yard^21 yard^2 = 9 ft^2

The formula and procedure to solve this geometry exercise is:

A(rectangle) = length * width

A(rectangle) = 27 ft * 15 ft

A(rectangle) = 405 ft^2

By converting the area from ft^2 to yard^2, we have:

405 ft^2 * (1 yard^2 / 9 ft^2) = 45 yard^2

Calculating the cost to carpet a rectangular floor:

Cost = A(rectangle) * cost per square yard

Cost = 45 yard^2 * $28.20/ yard^2

Cost = $1269

What is the area?

Is the measure of the space occupied by a body bounded by an environment called perimeter, the same is expressed in units of squared side. Example: ft^2, m^2

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can someone pls help me with this? i’d really appreciate it :)

can someone pls help me with this? id really appreciate it :)

Answers

Answer:

y = 2x - 12 or A

Step-by-step explanation:

6x - 3y = 36                        Subtract 6x from both sides.

-3y = 36 - 6x                       Divide by - 3

-3y/-3 = 36/-3 - 6x/-3

y = -12 + 2x

The answer is A

what can be said about the situation in a cohort study reporting an adjusted risk ratio of 2.5, with a 95% confidence interval of (0.8. 3.8)

Answers

The most appropriate answer would be option a) "Confounding is likely to be a problem in the interpretation of these results."

Now, let's consider the 95% confidence interval (CI) provided as (0.8, 3.8). A confidence interval is a range of values within which the true population parameter (in this case, the risk ratio) is likely to fall. The lower and upper bounds of the confidence interval in this case are 0.8 and 3.8, respectively.

Confounding refers to the presence of an extraneous factor that is associated with both the exposure and the outcome and can distort the observed association.

In this situation, since the confidence interval includes the null value of 1 (i.e., 1 is within the range), it suggests that the observed association may not be statistically significant.

A statistically significant result means that the observed association is unlikely to have occurred due to chance alone.

Therefore, option a) "Confounding is likely to be a problem in the interpretation of these results" is a reasonable conclusion.

Hence the correct option is (a).

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Complete Question:

What can be said about the situation in a cohort study reporting an adjusted risk ratio of 2.5, with a 95% confidence interval of (0.8, 3.8)

a) Confounding is likely to be a problem in the interpretation of these results,

b) This estimate had a P value that was at or below 0.05.

c) There is a clear and strong association between the exposure and the health outcome understudy.

d) None of the above.

Which property should Remus use to solve the equation below? 7 q = 49 division property of equality addition property of equality subtraction property of equality identity property of equality.

Answers

Answer:

Division Property

Step-by-step explanation:

He needs to divide both sides by 7 to find the value of q

The division property of equality should Remus used to solve the given equation and this can be determined by using the given data.

Given :

Equation is \(7q = 49\).

The following steps can be used in order to determine the property that Remus use to solve the given equation:

Step 1 - Write the given equation.

\(7q = 49\)

Step 2 - The arithmetic operations can be used in order to evaluate the given equation.

Step 3 - Using the division property of equality the value of 'q' can be determined.

\(q = \dfrac{49}{7}\)

\(q = 7\)

Therefore, the correct option is A).

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By rounding to 1 significant figure, estimate
310.31 x 7.94
317.39 x 0.82

Answers

Hi!

I can help you with joy!

The answer is 10. 1 is significant, 0 isn't (but why?)

Now, here we have only 1 significant figure.

I hope it helps!

\(*GentleGirlie*\)

The actual value is about 6.3656 when rounded to 5.

What is rounding a number to some specific place?

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

We need to find the value of  310.31 x 7.94 / 317.39 x 0.82

After rounding, you have

 300 × 8 / 300 × 0.8

 = 2400/300 × 0.8

 = 8 × 0.8

 = 6.4

The Order of Operations requires we consider the 0.82 factor to be in the numerator. If we want it to be in the denominator, the denominator must be enclosed in parentheses.

The actual value is about 6.3656

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Sheila is making accessories for the soccer team. She uses 722.56 inches of fabric on headbands for 28 players and 4 coaches. She also uses 241.64 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer:

27.72 inches of fabric

Step-by-step explanation:

28+3=31

Fabric used on each player:

559.24÷31=18.04

271.04÷28=9.68

PLZ HELP ME
Which is the exponential form of the expanded form shown?
(2/5) (2/5) (2/5) (2/5)


2^{4}/5
2/5^{4}
(tex]\frac{2}{5}\))²
\((\frac{4}{5} )\)²

Answers

Answer:

c

Step-by-step explanation:

hope this helps

Answer:

answer is c

Step-by-step explanation:

and me know me right. :)

(-4,-3) and (4,3) distance formula

Answers

Answer:

The answer is 10

Answer:

10

Step-by-step explanation:

by using the distance formula we can conclude that the distance between points a and b is 10 units

Please help out, what is the slope here? This question is worth 20 points

Please help out, what is the slope here? This question is worth 20 points

Answers

Answer:

the slope is 1

you find two points that are directly on an intersection of the grid. and then count rise/run

rise is going up and down and run is left and right

start at the point you found furthest to the left and count to the next point that's to the right.

if you have to go down to find it or left to find it, the slope is negative

in this case. theres a point at (-1,0) and (0,1)

you have to count up one and right one, making the slope 1/1 or simplified to 1

Step-by-step explanation:

I hope this helps :)

How do i get x. Please help

How do i get x. Please help

Answers

2x + 26 = 25 + x
2x - x. x - x

x + 26= 25
26-26. 25-26

x = -1

3x² - 12x + 8 when x = -2. ​

Answers

Answer:

Use photo math, it will explain literally all the steps

Answer: 44 :)

Explanation:
3(-2)^2 - 12(-2) + 8
3(4) + 24 + 8
12 + 24 + 8
44

a wooden artifact from an ancient tomb contains 70% of the carbon-14 that is present in living trees. how long ago was the artifact made?

Answers

The artifact was made about 3102.5 years ago.

An artifact from an ancient tomb contains 70% of the carbon-14 that is present in living trees, how long ago was the artifact made?

Carbon dating is used to estimate the age of organic materials, and it is used to determine the age of an artifact in this situation. The method used to estimate the age of an artifact based on its carbon-14 content is known as carbon dating. Carbon-14 has a half-life of 5,730 years. As a result, the amount of carbon-14 present in an object can be used to determine how long it has been since the object was last in contact with the atmosphere, and therefore how long it has been since it was alive.

Let C0 be the amount of carbon-14 present in living trees and C1 be the amount of carbon-14 present in the wooden artifact. After 5,730 years, C1 will have decayed to 1/2 of C0. After 2(5,730) = 11,460 years, C1 will have decayed to 1/4 of C0. After 3(5,730) = 17,190 years, C1 will have decayed to 1/8 of C0. After 4(5,730) = 22,920 years, C1 will have decayed to 1/16 of C0. After 5(5,730) = 28,650 years, C1 will have decayed to 1/32 of C0.

We'll have to solve the following equation to find the age of the artifact.

C1 = (70/100) * C0

Substitute the value of C0 into the equation and solve for t,

t = ln(0.7) / ln(1/2) = 3102.5 years

The artifact was made about 3102.5 years ago.

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Give the most descriptive name for


Give the most descriptive name for

Answers

Answer:

trapezium................

how could you represent 0.614 using only 5 tenths

Answers

We can represent 0.614 using only 5 tenths as \(\mathbf{\dfrac{6.14}{10}}\)

What is a decimal number?

A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.

The accepted method for representing both integer and non-integer numbers is the decimal number system.

From the given information, we are to represent 0.614 by using only 5 tenths.

5 tenths can be mathematically expressed as:\(\mathbf{=\dfrac{5}{10}}\)

Representing 0.614 in the same form, we have:

\(\mathbf{=\dfrac{0.614\times 1000}{1\times 1000}}\)

\(\mathbf{=\dfrac{614}{1000}}\)

\(\mathbf{=\dfrac{6.14}{10}}\)

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Answer: 6.14/10

Step-by-step explanation:

What is the surface area of a rectangular prism that has a length of 4 cm, a height of 14 cm, and a width of 15 cm?
A. 660 cm2
B. 652 cm2
C. 326 cm2
D. 432 cm2

Answers

D or A I guess I am not 100% sure I am 20% sure I don’t really know I guess is D If is wrong maybe is A

Answer:

The answer is b I searched it on goggle and did the math.

Step-by-step explanation:

1/3( 5x - 9) = 2( 1/3x + 6) what is x?

Answers

Answer:

x = 9

Step-by-step explanation:

→Distribute the \(\frac{1}{3}\) to (5x - 9), and the 2 to \((\frac{1}{3} x + 6)\):

\(\frac{1}{3}\)(5x - 9) = 2( \(\frac{1}{3}x\) + 6)

\(\frac{5}{3}x\) + 3 = \(\frac{2}{3}x\)+ 12

→Subtract \(\frac{2}{3}x\) from both sides:

x + 3 = 12

→Subtract 3 from both sides:

x = 9

The value of x from the given equation is 6.

The given equation is 1/3 (5x - 9) = 2(1/3 x + 6).

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 5x/3 - 9/3 = 2x/3 +6/2

5x/3 -3 = 2x/3 +3

5x/3 -2x/3 =3+3

(5x-2x)/3 = 6

3x/3 = 6

x = 6

Therefore, the value of x from the given equation is 6.

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An electric post casts a shadow of length 108 ft while a vertical rod of length 11 ft casts a shadow of length 18 ft. Find the length of the electric post.

Answers

The length of the electric post can be found using the concept of similar triangles. The ratio of the length of the electric post to the length of its shadow is equal to the ratio of the length of the vertical rod to the length of its shadow.

Let's denote the length of the electric post as x. According to the given information, the length of its shadow is 108 ft.

Using the proportion:

x/108 = 11/18

To solve for x, we cross-multiply:

18x = 108 * 11

Dividing both sides by 18:

x = (108 * 11) / 18

Calculating this, we find that the length of the electric post is approximately 66.67 ft.

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Find the volume of the sphere. Round your answer to the nearest tenth.

A sphere is shown with a radius of 7 feet.

The volume is about
cubic feet.

Answers

So we all know the FORMULA for a sphere is v=4/3 x π x r^3

So, now we SUBSTITUTE ,V=4/3 x π x 7^

This leaves us with the answer of 1436.76 ft ^2 maybe?

(hope this is correct!)

Mr.semmler drove 110 miles in 2 hours. At this rate, how many miles will he drive in 6 hours?

Answers

33 miles in 6 hours. The ratio is 110 miles for every two hours. If we want to find the amount of miles driven after 6 hours, you have to first divide 6 and 2. 6 divided by 2 is 3. Now we just have to multiply 110 by 3 which equals 330.

Answer:

330 miles

Step-by-step explanation:

If in 2 hours he drove 110 and you need to know how much miles will he have drove in 6, first you need to know if 2 is a multiple of 6, in this case it is so now you just divide 6/2 which is 3 so you multiply 110X3 wich gives you 330

1. What does the mean of a dataset represent? What does knowing
the standard deviation of a
dataset add?
2. What is a p value? What is the meaning of a p value?
3. Define alpha. How is it related to p

Answers

1. The mean of a dataset represents the average value of the entire set of numbers. It is calculated by adding up all the values and dividing by the number of values in the dataset. Knowing the standard deviation of a dataset adds information about how much the values deviate from the mean.

A high standard deviation indicates that the values are more spread out from the mean, while a low standard deviation indicates that the values are closer to the mean. It can help to identify outliers and the overall variability of the dataset.

2. A p-value is a statistical measure that helps to determine whether the null hypothesis (there is no significant difference between two groups) is true or false.

It is the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. A p-value of less than 0.05 (typically) is considered statistically significant, which means that there is strong evidence to reject the null hypothesis and accept the alternative hypothesis (there is a significant difference between the two groups).

3. Alpha is the level of significance that is set to determine whether a p-value is statistically significant or not. It is typically set at 0.05, which means that if the p-value is less than 0.05, then the result is considered statistically significant and the null hypothesis is rejected.

If the p-value is greater than 0.05, then the result is not statistically significant and the null hypothesis cannot be rejected. In summary, alpha and p-value are related because alpha sets the threshold for determining whether a p-value is statistically significant or not.

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Mike pitches a ridge tent. The tent is 16 yards wide and the slope of the tent measures 23 yards. What is the height of the tent?
I need help

Answers

If Mike pitches a ridge tent. The tent is 16 yards wide and the slope of the tent measures 23 yards, the height of the tent is 28.07 cm

How to solve for the height

The solution for the height would be gotten with the Pythagorean theorem. The theorem states that in a right angled triangle the sum of the square on the hypotenuse is equal to the sum of the square of the two other sides of same triangle.

This is illustrated mathematically as

C² = A² + B²

where C is the height

A is the width in yards

B is the slope.

Then we have

C² = 16² + 23²

C = √785

C = 28.07 yards

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Margin of​ error: two percentage​ points; confidence level 90​%; from a prior​ study, p is estimated by the decimal equivalent of 38%
n=
Margin of​ error: 0.04; confidence level 90%, p and q unknown
n=
find the critical value z a/2 that corresponds to the given confidence level.
89%
A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estimate the percentage of computers that use a new operating system. How many computers must be surveyed in order to be 99​% confident that his estimate is in error by no more than five percentage points question mark s?
n=

Answers

To find the critical value for a 90% confidence level, we need to divide the remaining 10% of the distribution (in the tails) by 2, as we are looking for a two-tailed test. This gives us 0.05, which we can use to find the corresponding z-value using a z-table or calculator. The critical value z a/2 for a 90% confidence level is 1.645.

To determine the sample size needed to estimate the percentage of computers using a new operating system with a 99% confidence level and a 5% margin of error, we can use the formula \(n = (z^2 * p * q) / E^2\). Plugging in the values, we find that a sample size of 610 computers is needed.This sample size calculation ensures that there is a 99% chance that the true percentage of computers using the new operating system is within 5 percentage points of the estimated percentage. It also assumes that the prior estimate of 38% is accurate, and that the population proportion is roughly evenly split between those using the new operating system and those not using it.

It is important to note that the sample size calculation assumes a random and representative sample of computers. If the sample is not truly random or representative, the results may not be accurate. Additionally, the margin of error is affected by the sample size, so if a smaller sample is used, the margin of error will be larger.

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K(3)=9 as a coordinate pair

Answers

Answer:

Step-by-step explanation:

pregunt aatumama  

Let n be a positive integer. Show that in any set of n consecutive integers there is exactly one divisible by n. (Using The Pigeon-Hole Principle)

Answers

Using the Pigeonhole Principle, we can prove that in any set of n consecutive integers, there is exactly one integer that is divisible by n.

The Pigeonhole Principle states that if you have more pigeons than pigeonholes, at least one pigeonhole must contain more than one pigeon. I

n this case, the pigeons represent the consecutive integers and the pigeonholes represent the possible remainders when dividing the integers by n.

Consider a set of n consecutive integers, starting from some integer k. The n integers can be written as k, k+1, k+2, ..., k+n-1. To show that there is exactly one integer divisible by n, we will assign each integer to a pigeonhole based on its remainder when divided by n.

Since there are n possible remainders when dividing an integer by n (0, 1, 2, ..., n-1), and we have n consecutive integers, by the Pigeonhole Principle, there must be at least two integers that have the same remainder when divided by n.

Let's say two integers, k+i and k+j, have the same remainder r when divided by n, where i < j.

Then we have (k+i) ≡ r (mod n) and (k+j) ≡ r (mod n).

Subtracting these two congruences, we get (k+j) - (k+i) ≡ 0 (mod n), which simplifies to j - i ≡ 0 (mod n). This implies that n divides (j - i).

Since j > i, we have j - i > 0, and since n divides (j - i), we conclude that n must divide (j - i), which means that one of the integers between k+i and k+j is divisible by n.

Therefore, in any set of n consecutive integers, there is exactly one integer that is divisible by n.

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Someone good at math pls help me:)

Someone good at math pls help me:)

Answers

Answer:

B) (-2,6)

Step-by-step explanation:

Where do the two lines intersect? That is where the solution is.

Hope this helps

Answer:

I believe the answer B ( I think)

O
8-1 & 8-2: MathXL Assignment
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Dashboard | Khan...
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Use a net to find the surface area of the cylinder. Use 3.14 for T.
The surface area of the cylinder is about cm².
(Round to the nearest tenth as needed.)
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O8-1 &amp; 8-2: MathXL AssignmentGDashboard | Khan...X8.1.PS-7Use a net to find the surface area of the

Answers

36π is the surface area of the given cylinder.

To find the surface area of a cylinder, you need to calculate the areas of the two circular bases and the lateral surface area.

The formula for the surface area of a cylinder is:

Surface Area = 2πr² + 2πrh

Given:

Height (h) = 7

Radius (r) = 2

First, let's calculate the area of each circular base:

Area of a circular base = πr²

Area of the top circular base = π(2²) = 4π

Area of the bottom circular base = π(2²) = 4π

Next, let's calculate the lateral surface area:

Lateral surface area = 2πrh

Lateral surface area = 2π(2)(7) = 28π

Now, we can find the total surface area by adding the areas of the bases and the lateral surface area:

Total Surface Area = Area of top base + Area of bottom base + Lateral surface area

Total Surface Area = 4π + 4π + 28π = 36π

Therefore, the surface area of the cylinder with a height of 7 and a radius of 2 is 36π.

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how much do i need to make to afford a $425,000 house

Answers

The income you need to afford a $425,000 house is largely dependent on your debt-to-income ratio, credit score, and down payment. However, a general rule of thumb is to have an annual income that is at least three times the purchase price of the home, which in this case would be $1,275,000.

To more accurately determine the income needed to afford a $425,000 house, consider factors such as the interest rate on the mortgage, property taxes, homeowners insurance, and any homeowner association fees.

These additional expenses can significantly impact your monthly mortgage payment and thus your income requirements.
It's important to keep in mind that lenders have varying criteria when determining mortgage eligibility and income requirements, so it's best to speak with a mortgage professional to get a more accurate estimate based on your individual circumstances.

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A frozen food producer determines that its daily revenue, (x), in dollars, from the sale of x frozen dinners is (x) = 4x^3/4
a. Find the additional revenue when the production increases from x = 70 to x = 71, rounding your answer to 4 decimal places.
b. Find the marginal revenue when x = 70, rounding your answer to 4 decimal places. Interpret this value in the scope of the problem.
c. Compare this value with the value you found in part (a). How are they related?

Answers

The additional revenue when production increases from x = 70 to x = 71 is approximately $14,911, while the marginal revenue at x = 70 is approximately $0.3094, representing the rate of change of revenue at that specific production level.

a. To find the additional revenue when the production increases from x = 70 to x = 71, we need to calculate the difference between the revenue at x = 71 and x = 70.

Revenue at x = 70: R(70) = 4(70)^3/4 = 4(343,000)/4 = 343,000

Revenue at x = 71: R(71) = 4(71)^3/4 = 4(357,911)/4 = 357,911

Additional revenue = R(71) - R(70) = 357,911 - 343,000 ≈ 14,911 (rounded to 4 decimal places).

Therefore, the additional revenue when the production increases from x = 70 to x = 71 is approximately $14,911.

b. The marginal revenue represents the rate of change of revenue with respect to the number of frozen dinners produced. It can be calculated by taking the derivative of the revenue function with respect to x and evaluating it at x = 70.

Revenue function: R(x) = 4x^(3/4)

Taking the derivative:

R'(x) = (d/dx)(4x^(3/4))

= 3x^(-1/4)

Evaluating at x = 70:

R'(70) = 3(70)^(-1/4) ≈ 0.3094 (rounded to 4 decimal places).

The marginal revenue when x = 70 is approximately $0.3094.

Interpretation: The marginal revenue of approximately $0.3094 means that for each additional frozen dinner produced when the quantity is at 70, the revenue is expected to increase by approximately $0.3094.

c. The value found in part (a) represents the actual additional revenue when the production increases from x = 70 to x = 71. It is the difference between the revenues at those two production levels.

The value found in part (b), the marginal revenue at x = 70, represents the instantaneous rate of change of revenue at that specific production level.

These values are related in that the additional revenue represents the change in revenue between two specific production levels, while the marginal revenue represents the rate of change at a specific production level. The marginal revenue gives insight into how the revenue is changing at a particular point, while the additional revenue provides information about the difference in revenue between two specific points.

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lingered, trudged, scowled, herded are all examples of 1-nouns 2-verbs 3-adjectives 4-prepositions Summarize the evidence indicating that over several hundreds of years or more there have been variations in the level of the solar activity.A. The use of ice cores have helped track the activity of the Sun containing information over the centuriesB. Small features on the surface of the Sun provide evidence of past activity similar to craters on EarthC. Counts of sunspots infer the overall magnetic field changes, which correlate with the level of the magnitude of the solar dynamo and hence solar activity. Astronomers have reliable data going back to 1750.D. Scientists have reliable data on Earths temperature fluctuations beginning from 1880, which can be used to demonstrate solar activity. Question 4 (1 point)Which type of animal is most common in Australia, numbering 150 species?marsupialsbirdssea mammals Which of the following findings would best help you differentiate a tension pneumothorax from a simple pneumothorax?a) difficulty breathingb) absent lung soundsc) SpO2 of 90%d) hypotension which action would the nurse take to ensure the safety of an older adult patient who has recived an enenma what time is it 5 3/4 hours after 11:32pm some of the stocks offered were _________to be put in the nyse , so a brisk business was running outside on the curb of the street. what idea is veronika emphasizing by repeating this word plz help me: what is the solution for : |x| -6 = 4 Is America designed more for we the people or me the person? Can someone pls help me with my ela assignments Ill pay u 20$ if its right I need a good grade Im failing! 14=s/3 what does s equal What did the Mexican Constitution of 1917 do? Which of the following tasks would NOT be a role played by a political partys state committee leader?A.running state headquartersB.supervising party campaigns statewideC.organizing volunteers in the precinctD.facilitating primary elections Please help me with this question 1. Sandy Corp.'s preferred stock is selling for $60 per share in the market. This preferred stock has a par value of $80 and a dividend rate of 12 percent. Required: a) What is the current yield on the stock? b) If an investor has a required rate of return of 14 percent, what is the value of the stock for that investor? c) Should the investor acquire the stock? Explain. d) Explain why preferred stock is referred to as a hybrid security. In choosing the appropriate project management structure, the best system balances the needs of the ________ with the needs of the ____________. design an asynchronously resettable d flip-flop using logic gates a website developer believes that a majority of websites have serious vulnerabilities, such as broken authentication or security misconfiguration. the website developer would like to test the claim that the percent of websites that have serious vulnerabilities is less than 30%. they decide to complete a hypothesis test at a 0.5% significance level. they sample 34 websites, and determine the sample percent to be 20%. the following is the data from this study: sample size = 34 website sample proportion =0.20 identify the null and alternative hypothesis by for this study by filling the blanks with correct symbols Dwight made this model using a golfball, a baseball, and a basketballHow could Dwight improve his model?Group of answer choicesMake the moon smaller than the earthPlace the sun between the Earth and the moonPlace Earth between the moon and the sunUse a flat object, such as a coin, to represent the objects