Find cot x if cos x =1/7 and sin x < 0.

Answer:

x = 15/\(\sqrt{3}\) and y = 30/\(\sqrt{3}\)

Step-by-step explanation:

I just used this trick I remembered from Honors Geometry. I am now in Honors Algebra II w/ Trig. So this trick is what is used for 30-60-90 special right triangles

it might not be possible to carry out a randomized controlled experiment, even when the aim is to investigate causality in the collected data  the researcher should be worried about potential g idiographic

Type of causal reasoning is an idiographic explanation  

we know that there are 2 types of  approach for understanding the social life

Idiographic  

nomothetic  

and here idiographic approach use for understanding single or individual type case or event but a nomothetic approach that is used for understanding large scale social pattern

so here also cause of the single situation is exhaustively examined  

so correct answer is an idiographic explanation

learn more about of experiment here

https://brainly.com/question/14454574

#SPJ4

The given function is f(x) = 15(1.02)^x, where x is the number of years from the date at which money is initially deposited.

This means that $15 were initially deposited into the account, and the amount grows at an annual rate of 2% (which is represented by 1.02 being raised to the power of x).

Therefore, the correct answer is: $15 were initially deposited into the account, which grows at an annual rate of 2%.

Hope I helped you...

Answer:

This is the answer

y = − x

So yeah hope this helps...

Answer:

Step-by-step explanation:

The general equation we use for ballistic motion is ...

  \(h(t)=\frac{1}{2}gt^2+v_0t+h_0\)

where g is the acceleration due to gravity, v₀ is the initial upward velocity, and h₀ is the initial height.

The values of g commonly used are -32 ft/s², or -4.9 m/s². Units are consistent when the former is used with velocity in ft/s and height in feet. The latter is used when velocity is in m/s, and height is in meters.

_____

Dwayne throws a ball with an initial velocity of 73 feet/second. Dwayne holds the ball 5 feet off the ground before throwing it. (h = -16t^2 + 73t + 5)

A watermelon falls from a height of 5 feet to splatter on the ground below. (h = -16t^2 + 5)

Marcella shoots a foam dart at a target. She holds the dart gun 1.5 meters off the ground before firing. The dart leaves the gun traveling 73 meters/second. (h = -4.9t^2 + 73t + 1.5)

Greg drops a life raft off the side of a boat 1.5 meters above the water. (h = -4.9t^2 + 1.5)

_____

Additional comment on these scenarios

The dart and ball are described as being launched at 73 units per second. Generally, we expect launches of these kinds of objects to have a significant horizontal component. However, these equations are only for vertical motion, so we must assume the launches are straight up (or that the up-directed component of motion is 73 units/second).

Answer:

The answer is 9.625

Step-by-step explanation:

So what you have is the area and the base of the rectangle. To find the height, just divide 4 into 38.5

38.5 / 4 = 9.625

To double check just multiple 9.625 by 4

9.625 x 4 = 38.5

Hope this helps

Answer:

its c

Step-by-step explanation:

4x*x^2= 4x^3

-3x*4x =-12x^2

1*4x = 4x

= 4x^3 -12x^2 + 4x

Answer: c = 5n

Step-by-step explanation:

Cost of movie ticket = $5 per person

Number of people attending the movie = n

The total cost c, will be the multiplication of the cost of movie ticket per person by the total.number of people attending the movie. This will be:

c = 5 × n

c = 5n

Given that the equation of the line in the diagram is `y = 5 - x`. The line cuts the y-axis at P. So, the coordinates of point P are (0,5) and the gradient of the line is `-1`.

The equation of the line can be written as `y = -1x + 5`.Therefore, the y-intercept of the line is 5. Therefore, the coordinates of point P are (0,5).

To find the gradient of the line, we have to write the equation of the line in the form of `y = mx + c`.

We can rewrite `y = -1x + 5` as `y = (-1)x + 5`.From the above form of the equation, we can see that the gradient `m` is `-1`.Therefore, the gradient of line 1 is `-1`.Hence, the required answer is: Coordinates of point P is `(0,5)`.The gradient of the line is `-1`.

For more questions on: gradient

https://brainly.com/question/29578324

#SPJ8    

Answer:

3ab

Step-by-step explanation:

because it is answer

For each natural number n > 43, we can express it as n = 6xn + 9yn + 20zn + 15, where xn, yn, and zn are nonnegative integers. Additionally, we have shown that 43 cannot be written in this form.

To prove that for each natural number n > 43, we can write n = 6xn + 9yn + 20zn + 15, where xn, yn, and zn are nonnegative integers, we will use strong induction. The base case will be n = 44, and we will assume that the statement holds for all natural numbers up to k, where k > 43. Then we will prove that it holds for k+1.

Base Case:

For n = 44, we can express it as:

44 = 6(1) + 9(1) + 20(1) + 15

Inductive Hypothesis:

Assume that for every natural number m, where 44 ≤ m ≤ k, we can express m as:

m = 6x + 9y + 20z + 15

for some nonnegative integers x, y, and z.

Inductive Step:

We need to prove that for k+1, we can express it in the given form.

For k+1, there are three cases to consider:

Case 1: k+1 is divisible by 6

In this case, we can express k+1 as:

(k+1) = 6x' + 9y' + 20z' + 15

where x' = x + 1, y' = y, and z' = z. Since k+1 is divisible by 6, we can add one more 6 to the expression.

Case 2: k+1 is divisible by 9

In this case, we can express k+1 as:

(k+1) = 6x' + 9y' + 20z' + 15

where x' = x, y' = y + 1, and z' = z. Since k+1 is divisible by 9, we can add one more 9 to the expression.

Case 3: k+1 is not divisible by 6 or 9

In this case, we can express k+1 as:

(k+1) = 6x' + 9y' + 20z' + 15

where x' = x + 2, y' = y + 1, and z' = z - 1. By adding 26, 19, and subtracting 1*20, we can obtain k+1.

Thus, we have shown that for each natural number n > 43, we can write n = 6xn + 9yn + 20zn + 15, where xn, yn, and zn are nonnegative integers.

Now, let's prove that 43 cannot be written in this form. If we assume that 43 can be expressed as:

43 = 6x + 9y + 20z + 15

Simplifying the equation:

28 = 6x + 9y + 20z

Considering the equation modulo 3, we have:

1 ≡ 0 (mod 3)

This is a contradiction since 1 is not congruent to 0 modulo 3. Therefore, 43 cannot be written in the given form.

In conclusion, we have proven by strong induction that for each natural number n > 43, we can express it as n = 6xn + 9yn + 20zn + 15, where xn, yn, and zn are nonnegative integers. Additionally, we have shown that 43 cannot be written in this form.

Learn more about natural number here

https://brainly.com/question/28567528

#SPJ11

Answer:

(a) The total revenue from the sale of x thousand candy bars is equal to the product of the price charged for a candy bar and the number of candy bars sold. If p(x) is the price charged for a candy bar in cents, then the revenue R(x) in dollars is given by:

R(x) = (p(x) * 1000x) / 100

R(x) = (151 - x/10) * 100x

R(x) = 15100x - 1000x^2

Therefore, the expression for the total revenue from the sale of x thousand candy bars is R(x) = 15100x - 1000x^2 dollars.

(b) To find the value of x that leads to maximum revenue, we need to find the value of x for which R(x) is maximum. We can do this by finding the derivative of R(x) with respect to x, setting it equal to zero, and solving for x. So:

R'(x) = 15100 - 2000x

Setting R'(x) equal to zero, we get:

15100 - 2000x = 0

Solving for x, we get:

x = 7.55

Therefore, the value of x that leads to maximum revenue is 7.55 thousand candy bars.

(c) To find the maximum revenue, we substitute x = 7.55 into the expression for R(x):

R(7.55) = 15100(7.55) - 1000(7.55)^2

R(7.55) = $57042.50

Therefore, the maximum revenue is $57,042.50 when 7.55 thousand candy bars are sold.

Step-by-step explanation:

The maximum revenue from the sale of candy bars in the city is $84,375. a. The expression for total revenue from the sale of x thousand candy bars can be found by multiplying the price per candy bar by the number of candy bars sold:

Total revenue = p(x) * x

Substituting the given equation for p(x), we get:

Total revenue = (151 - x/10) * x

b. To find the value of x that leads to maximum revenue, we need to take the derivative of the revenue function and set it equal to zero:

d/dx (151x - x^2/10) = 0

Simplifying and solving for x, we get:

x = 750

c. To find the maximum revenue, we substitute the value of x obtained in part (b) into the revenue function:

Total revenue = (151 - 750/10) * 750 = $84,375

Therefore, the maximum revenue from the sale of candy bars in the city is $84,375.

Learn more about revenue here:

brainly.com/question/1842659

#SPJ11

Introducing short, high-intensity segments in a workout is called interval training. This method can help boost calorie expenditure and improve overall fitness.

When engaging in running, there are moments during the running gait cycle where both feet are off the ground simultaneously. This phenomenon is known as the flight phase. Running is considered a high-impact activity, which means it puts stress on the joints, especially for individuals who are overweight or have joint-related issues. To mitigate this impact, low-impact exercises such as swimming or cycling can be more suitable for overweight individuals as they provide cardiovascular benefits with reduced stress on the joints.

While running may not be the ideal choice for overweight individuals concerned about the joint impact, it can be advantageous for increasing the number of calories burned during a workout. Running is a weight-bearing exercise that engages multiple muscle groups and requires more energy expenditure compared to low-impact exercises. This increased calorie burn can be beneficial for weight loss and improving cardiovascular fitness.

Interval training refers to a workout method that involves alternating periods of high-intensity exercise with periods of low-intensity or rest. This technique can be applied to various exercises, including running. By incorporating short, high-intensity segments, such as sprinting or running at a faster pace, into a workout, individuals can challenge their cardiovascular system, improve endurance, and burn more calories in a shorter amount of time. Interval training is known for its efficiency and effectiveness in boosting overall fitness levels.

To learn more about Interval training click here: brainly.com/question/13003179

#SPJ11

Answer:

2.5 inches

Step-by-step explanation:

Divide 5 by 2

The probability that when he enters the restaurant today it will be at least 5 minutes until he is served is  0.2676 and probability that average time until he is served in eight randomly selected visits is 0.0409.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the deviation of each data point from the mean, the standard deviation can be calculated as the square root of variance.

Given that mean μ = 4.2 , standard deviation σ = 1.3

1. P(X >= 5) = P((X - μ)/σ >

                    = (5 - 4.2) /1.3

                    = P(Z ≥ 0.6154)

                    = 1 - P(Z < 0.6154)

                    = 1 - 0.7324

                    = 0.2676

The required probability is 0.2676.

2.Given that n = 8 then  \(\bar x\) = σ/\(\sqrt{(n)\)  = 1.3/√(8) = 0.4596

P(x-bar ≥ 5) = P((\(\bar x\) - μ)/σx-bar ≥ (5 - 4.2)/0.4596)

                        = P(Z ≥ 1.7406)

                        = 1 - P(Z < 1.7406)

                        = 1 - 0.9591

                        = 0.0409

The required probability is 0.0409.

Learn more about Probability;

https://brainly.com/question/16794285

#SPJ4

Answer:

that looks like a cat.

Step-by-step explanation:

sorry, that's probably a snake :D

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are scalene, right angled, isosceles, equilateral.

A right angled triangle is a triangle with one angle equals to 90°.

Statement                      Reason

∠PQR = ∠RST                Given. ∠PQR = ∠RST = 90° (definition for right

                                       angle triangle.

PQ = ST                          Given

PR ≅  RT                         Since R is the midpoint of PT, hence PR = RT

ΔPQR ≅ ΔTSR                Side-angle-side triangle congruence theorem.

                                       the Side-angle-side triangle congruence theorem

                                       states that if two sides and an included angle of

                                       one triangle is equal to two sides and an included

                                       angle of another triangle, then the two triangles

                                       are congruent. PQ=ST, PR = RT and ∠PQR = ∠TSR

Answer: 11 units

Step-by-step explanation:

The y-intercept is when x = 0.

For f(x), \(f(0)=(0+5)^{2}-10=15\)

For g(x), \(g(0)=4\)

So, the distance is \(15-4=\boxed{11}\)

Answer:

Step-by-step explanation:

Answer:1 1/12

Step-by-step explanation: 3/4+1/3=13/12=1 1/12

Answer:

------------------------

This is a combination of 4 out of 15.

Use combination formula:

where C - number of combinations, n- total number of objects, r - number of choosing from objects

Substitute 15 for n and 4 for r to get:

Correct choice is B.

Answer:

Original = (8,-6) New = (0,1)

Step-by-step explanation:

Arrange the adjustments like this in the parenthesis of the original point

(8 - 8, -6 +7)

Then do the math and get (0,1)

An assignment of probability must obey all of the following:

A) the probability of any event must be a number between 0 and 1, inclusive

B) the sum of all the probabilities of all outcomes in the sample space must be exactly 1

C) it must obey the addition rule for disjoint events.

An assignment of probability requires adherence to certain principles. Firstly, the probability of any event must be a number between 0 and 1, inclusive. Probability values less than 0 or greater than 1 are not valid since they fall outside the range of possible probabilities.

Secondly, the sum of all the probabilities of all outcomes in the sample space must be exactly 1. This ensures that the entire sample space is accounted for and that there are no missing or extra probabilities.

Lastly, the assignment of probability must obey the addition rule for disjoint events. According to this rule, if two events are disjoint (mutually exclusive), meaning they cannot occur simultaneously, then the probability of the union of these events is equal to the sum of their individual probabilities.

Therefore, to ensure a valid assignment of probability, all of the conditions mentioned in options A, B, and C must be satisfied. Hence, the correct answer is option D, "all of the above."

Learn more about disjoint events here:

https://brainly.com/question/9191377

#SPJ11

We can say that the value of k will be equal to the y-coordinate of the center of the circle (since k represents the y-coordinate of the center).

To answer this question, we need to use the equation of a circle:

(x - h)^2 + (y - k)^2 = r^2

Where h and k represent the coordinates of the center of the circle, and r represents the radius. In this case, we are given that the circle has center (h, k) and radius 10. So we can write:

(x - h)^2 + (y - k)^2 = 10^2

We are asked to find the value of k. To do this, we need to look at the equation of the circle and notice that the y-coordinate is paired with k. This means that we can isolate k by rearranging the equation as follows:

(y - k)^2 = 10^2 - (x - h)^2

y - k = ±√(10^2 - (x - h)^2)

k = y ±√(10^2 - (x - h)^2)

Since we don't have any information about the x-coordinate, we can't solve for a specific value of k. However, we can say that the value of k will be equal to the y-coordinate of the center of the circle (since k represents the y-coordinate of the center). Therefore, the answer is:

k = y

To know more about Coordinate  visit :

https://brainly.com/question/22261383

#SPJ11

Answer:

4x

Step-by-step explanation:

The square root of 16 is 4 because 4 times itself is 16.

The square root of x^2 is x because x times itself is x^2.

Answer:4%

Step-by-step explanation:

The probability of the sum of two integers is greater than the product is equal to 2 / 5.

Let 'A' be the set of positive integers less than or equal to 5.

A = { 1, 2, 3, 4, 5}

Sum of two numbers is greater than the product of the numbers.

1 × 1 = 1  and 1 + 1 = 2

1 × 2 = 2 and 1 + 2 = 3

1 × 3 = 3 and 1 + 3 = 4

1 × 4 = 4 and 1 + 4 = 5

1 × 5 = 5 and 1 + 5 = 6

2 × 1 = 2 and 2 + 1 = 3

3 × 1 = 3 and 3 + 1 = 4

4 × 1 = 4 and 4 + 1 = 5

5 × 1 = 5 and 5 + 1 = 6

2 × 2 = 4 and 2 + 2 = 4

Total possibilities = 5 × 5

                             = 25

Favourable outcomes = 10

Total number of outcomes = 25

Probability of sum of two numbers greater than the product

= 10 / 25

= 2 / 5

Therefore, the probability of the sum of two numbers is greater than the product is equal to 2/ 5.

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer:

hello.....................

Step-by-step explanation:

Answer:

3,570

Step-by-step explanation:

why did you not look it up on the internet lol

Answer:

Therefore, the book value of the equipment at the end of year four (including year four) is $2,880.

Step-by-step explanation:

To calculate the book value of the equipment at the end of year four using the MACRS method with GDS recovery period of five years, we can use the following steps in Excel:

1. Open a new Excel spreadsheet and create the following headers in row 1: Year, Cost, Depreciation Rate, Annual Depreciation, Cumulative Depreciation, and Book Value.

2. Fill in the Year column with the years 1 through 6 (since the truck has a life of six years).

3. Enter the cost of the truck, $12,000, in cell B2.

4. Use the following formula in cell C2 to calculate the depreciation rate for each year:

=MACRS.VDB(B2, 5, 5, 1, C1)

This formula uses the MACRS.VDB function to calculate the depreciation rate for each year based on the cost of the truck (B2), the GDS recovery period of five years, the useful life of six years, the salvage value of $2,000, and the year (C1).

5. Copy the formula in cell C2 and paste it into cells C3 through C7 to calculate the depreciation rate for each year.

6. Use the following formula in cell D2 to calculate the annual depreciation for each year:

=B2*C2

This formula multiplies the cost of the truck (B2) by the depreciation rate for each year (C2) to get the annual depreciation.

7. Copy the formula in cell D2 and paste it into cells D3 through D7 to calculate the annual depreciation for each year.

8. Use the following formula in cell E2 to calculate the cumulative depreciation for each year:

=SUM(D$2:D2)

This formula adds up the annual depreciation for each year from D2 to the current row to get the cumulative depreciation.

9. Copy the formula in cell E2 and paste it into cells E3 through E7 to calculate the cumulative depreciation for each year.

10. Use the following formula in cell F2 to calculate the book value of the equipment for each year:

=B2-E2

This formula subtracts the cumulative depreciation for each year (E2) from the cost of the truck (B2) to get the book value.

11. Copy the formula in cell F2 and paste it into cells F3 through F7 to calculate the book value for each year.

12. The book value of the equipment at the end of year four (including year four) is the value in cell F5, which should be $2,880.