If the point P(-1,0) is a point on the terminal side of angle 0, an angle in standard position, what is the value of csc 0 ?​

The x-component of vector A: 25 m. The y-component of vector A: 43.3 m. The x-component of vector B: -9.9 m. The y-component of vector B: 15.5 m.Vector C: (131.6 i + 206.2 j)Magnitude of vector C: 243.1 m. Direction of vector C: 57.3° north of the east.

Given information: Vector A:(50.0m, 30°

East of North)Vector B:(20.0m, 40° North of West)

Vector C = 5A - (2/3)B

Represent both vectors in an x-y coordinate system and find the components of vectors A and B: The angle between vector A and the positive x-axis: (90 - 30) = 60 degrees.

The magnitude of vector A: 50.0 m.

The x-component of vector A: Acosθ = 50cos60° = 25 m.

The y-component of vector A: Asinθ = 50sin60° = 43.3 m.

The angle between vector B and the positive x-axis: (90 + 40) = 130 degrees.

The magnitude of vector B: 20.0 m.The x-component of vector B: Bcosθ = 20cos130° = -9.9 m.

The y-component of vector B: Bsinθ = 20sin130° = 15.5 m.

Express vector C = 5A - (2/3)B as a linear combination of the unit vectors:

                               Vector C = 5A - (2/3)

                            B=5(25 i + 43.3 j) - (2/3)(-9.9 i + 15.5 j)= (125 i + 216.5 j) + (6.6 i - 10.3 j)= 131.6 i + 206.2

jMagnitude of vector C:|C|=√((131.6)² + (206.2)²)= 243.1 m

Direction of vector C:θ= tan⁻¹((206.2)/(131.6))= 57.3° north of the east.

Therefore, The x-component of vector A: 25 m.

The y-component of vector A: 43.3 m. The x-component of vector B: -9.9 m.

The y-component of vector B: 15.5 m.

Vector C: (131.6 i + 206.2 j)

Magnitude of vector C: 243.1 m. Direction of vector C: 57.3° north of the east.

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The critical value for an 80% confidence interval is 1.28.

To find the critical value for constructing an 80% confidence interval for the difference in two proportions, we need to use the z-table.

Step 1: Find the critical value.

Since we want an 80% confidence interval, the remaining area (1 - 0.80 = 0.20) is divided equally into the two tails. Each tail has an area of 0.10. To find the critical value, we look for the z-score that corresponds to an area of 0.10 in the standard normal distribution table.

Using the z-table or a calculator, we find that the z-score for an area of 0.10 (one tail) is approximately 1.28.

Therefore, the critical value for an 80% confidence interval is 1.28.

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The function f(x) = 2x^2 - 4x + 5 has a local minimum at x = 1.

To find when the function f(x) = 2x^2 - 4x + 5 has a local minimum, we can use Newton's quotient.

Step 1: Find the derivative of the function f(x) with respect to x.

The derivative of f(x) = 2x^2 - 4x + 5 is f'(x) = 4x - 4.

Step 2: Set the derivative equal to zero and solve for x to find the critical points.

Setting f'(x) = 0, we have 4x - 4 = 0. Solving for x, we get x = 1.

Step 3: Use the second derivative test to determine whether the critical point is a local minimum or maximum.

To do this, we need to find the second derivative of f(x). The second derivative of f(x) = 2x^2 - 4x + 5 is f''(x) = 4.

Step 4: Substitute the critical point x = 1 into the second derivative f''(x).

Substituting x = 1 into f''(x), we get f''(1) = 4.

Step 5: Interpret the results.

Since f''(1) = 4, which is positive, the function f(x) = 2x^2 - 4x + 5 has a local minimum at x = 1.

Therefore, the function f(x) = 2x^2 - 4x + 5 has a local minimum at x = 1.

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The solution of the expression is,

⇒ S = - 5100

Since, An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

We have to given that;

Sequence is,

⇒ ∑ n = 1 to n = 4 [ 100 (- 4)ⁿ⁻¹ ]

Now, We get;

⇒ a (n) = [ 100 (- 4)ⁿ⁻¹ ]

Replace n to n + 1;

⇒ a (n + 1) = 100 (- 4)ⁿ

And, For n = 1;

⇒ a (n) = [ 100 (- 4)ⁿ⁻¹ ]

⇒ a (1) = [ 100 (- 4)¹⁻¹ ]

⇒ a (1) =  100

And, Common ratio = - 4

Hence, The sum of geometric ratio is,

⇒ S = 100 (1 - (- 4)⁴) / (1 + 4)

⇒ S = 100 (1 - 256) / 5

⇒ S = - 5100

Thus, The solution of the expression is,

⇒ S = - 5100

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Answer:

10 miles

Step-by-step explanation:

first you subtract 80 from 200

200-80= 120

then you divide 120 by 12

120/12= 10

she will need to walk 10 miles in order to raise 200 dollars

hope this helped!

Answer:

the slope is 0 and  the equation is y = -2

Step-by-step explanation:

The values of x in the equation are (a) x = 13 and (b) x = 1

From the question, we have the following parameters that can be used in our computation:

(x - 7)2 = 36

This equation when expressed properly is

(x - 7)² = 36

Take the square roots of both sides of the equation

So, we have the following representation

x - 7 = ±6

Add 7 to both sides of the equation

This gives

x = 7 ± 6

Evaluate the sum and the difference

x = 1 and 13

Hence, the solutions are (a) and (b)

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Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

Answer:

10 cm

Step-by-step explanation:

Answer:

0.53

Step-by-step explanation:

You just have to know the placements.

Answer:

in the explanation

Step-by-step explanation:

According to the triangle midsegment theorem (if these points are midpoints),

2x + 3 is two times longer than 7, meaning it's 14.

2x+3=14

2x=11

x = 11/2

If there is an option for not enough info given, that should be right as it doesn't actually say that they are midpoints

Answer:

above sea level

Step-by-step explanation:

The first 3 terms of the sequence are 21, 24 and 29

From the question, we have the following parameters that can be used in our computation:

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

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Answer:

A: 37 degrees B: 49 degrees C: 57 degrees hope this helps

Answer:

Step-by-step explanation:

Use the property of angle bisector:

Using the above and the diagram we can see:

and

Also we have:

From the first equation we find:

And from the second equation we get:

Substitute b in the third equation:

Then, find b:

Answer:

\(7^5\)

Step-by-step explanation:

When multiplying numbers with the same base (in this case the base is 7), the exponents add. So

-6+16-5=5

So the answer is \(7^5\)

To make the division we first write it in standard division form:

Now, we need to divide the first term of the dividend by the first term of the divisor, that is:

We write this above the first term and multiply it by the divisor; we write the result below the dividend with the signs change:

Now we add the dividend with what we found in the previous step and write the result below:

Now we take the same steps as before using the first term of the residual we found and the divisor until we have a residual with a degree lower than the degree of the divisor; this is shown below:

Therefore, the we have that the result is:

Answer:

11 hours 20 minutes

Step-by-step explanation:

(a) Total sum of squares (SS): 506.

(b) Model degrees of freedom (d.f): 3.

(c) Model mean square (MS): 538.654074.

(a) In the given Stata output, the "Source" column refers to the sources of variation in the data. In this case, there is only one source mentioned, labeled as "I," which indicates the total variation in the data.

(b) The "SS" column represents the sum of squares for each source of variation. In the given output, the sum of squares for the "I" source is 538.654074.

(c) The "d.f" column refers to the degrees of freedom associated with each source of variation. In the output, the degrees of freedom for the "I" source is 3.

(d) The "MS" column represents the mean squares, which is obtained by dividing the sum of squares by the respective degrees of freedom. For the "I" source, the mean squares is 538.654074 / 3 = 179.551358.

(e) The "Number of obs" indicates the total number of observations in the dataset, which in this case is 506.

(f) The F-statistic and its corresponding p-value are given under the "F(3, 522)" and "Prob > F" columns, respectively. In this example, the F-statistic is 50.71, with a p-value of 0.0000. This indicates that there is strong evidence against the null hypothesis of no relationship between the variables, as the p-value is less than the chosen significance level (typically 0.05).

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- #4 -

y = 12

[] First we will solve for x. Our angles with x are vertical angles, so they can be set equal to each other

8x - 61 = 6x - 13

8x - 48 = 6x

-48 = -2x

24 = x

[] Then, we will plug it into one of the angles (with x) and solve:

8x - 61

8(24) - 61

192 - 61 = 131

[] Last, these are supplementary angles so we can add them together and set it equal to 180:

131 + 3y + 1 = 180

132 + 2y = 180

2y = 48

y = 12

- #6 -

y = 22

[] First we will solve for x. These angles are vertial angles, so we can do the following:

9x + 42 = 15x

42 = 6x

7 = x -> x = 7

[] Then, we will plug it into one of the angles (with x) and solve:

15x = 15(7) = 105

[] Last, we will solve for y. These are supplementary angles so we can add them together and set it equal to 180:

4y - 13 + 105 = 180

4y + 92 = 180

4y = 88

y = 22

- #7 -

y = 9

[] First we will solve for x. They are supplementary angles so we can add them together and set it equal to 180:

x + 21 + 3x + 11 = 180

4x + 32 = 180

4x = 148

x = 37

[] Then, we will plug it into one of the angles (with x) and solve:

3x + 11 = 3(37) + 11 = 111 + 11 = 122

[] Last, we will solve for y. These are vertical angles, so they can be set equal to solve:

122 = 14y - 4

126 = 14y

9 = y

- See attached for where I pulled numbers from -

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The forecast for the first week in April is Option B, 217.33.

By using a three-week moving average to forecast the rate of new driver's license applications for the first week of April, means that we will average the rate of new driver's license applications over the last three weeks to forecast the rate for the next week.

Let's calculate the moving average for the first week of April.

Given weeks 2, 3, and 4 of March are 199, 215, and 212, respectively.

To find the three-week moving average, we add these three rates and divide by three:

(199 + 215 + 212) / 3 = 208.67

Therefore, the forecast for the rate of new driver's license applications for the first week of April using the three-week moving average is 208.67, rounded to two decimal places, the closest option to 208.67 is option B, which is 217.33.

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a very fast way to do it:

Trivially 8.8*5>10, so the power of 10 is 6+2+1 = 9.

Therefore, the answer is \(\boxed{4.4 \text{ x }10^9}\)

Answer:

5pi/3

Step-by-step explanation:

For two angles to be co-terminal, one must differ from the other by a multiple of 2pi.

The angle of consideration is 5pi/3

Let us consider the options one by one and see if they differ from the angle of consideration by a multiple of 2pi.

5pi/3 - pi/3 = 4pi/3

5pi/3 - 2pi/3 = 3pi/3 = pi

5pi/3 - 4pi/3 = pi/3

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

5pi/3 is co-terminal with itself

Answer:

\(x^{\frac{3}{7} } =\sqrt[7]{x^{3} }\)

Step-by-step explanation:

Hope this helps

Answer:

\(x \frac{3}{7} = \sqrt[7]{x^3}\)

Step-by-step explanation:

That is your answer

Answer:

It has 2 i hope it's correct :)

Answer: Both functions have a negative rate of change.

Step-by-step explanation:

The numbers are decreasing. And I just got it right.

Answer: the answer is is both functions have a negative rate of change

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

3/20 = 15/100 = 0.15 = 15%

Answer:

15%

Step-by-step explanation:

3 in a total of 20 is rationally equal to 15 out of 100.

A cheerful teen hoping this helps,

stay safe, protected and positively radiant!

Answer:

In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).

Based on the information that the smallest score in a population is x=5, and the largest score is x=10, the conclusion is that the standard  deviation is going to be smaller than the range of scores.

Given that in a population, the smallest score is x=5, and largest score is x=10, the range of scores is:

Range of scores=largest score-lowest score

                          =10-5

                           =5

Here the range of scores is 5, and the mean of the scores is likely to be between 5 and 10

Standard deviation which refers to the average spread of the distribution,  will now be considered to be smaller since the range of scores is low.

Because standard deviation is found from the mean, if the mean is between x=5 and x=10, the standard deviation must be lower than x=5.

Hence, smaller than the range of scores.

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