Find all values of 0, if 0 is in the interval [0, 360°) and has the given function value. Points: 7 79) sec 0 = -√2 Step:1 Find the reference angle Step:2 Draw the figure, label the figure Step:3 F

Answers

Answer 1

Cosine is negative in second and third quadrant because x is negative in these quadrants. So,θ = 180° ± 45°, 360° ± 45°θ = 135°, 225°, 315°, 405°These are all values of θ in [0, 360°) whose secant is -√2.

Step 1: Reference angle Finding reference angle:Reference angle is the angle between the terminal side of the given angle and x-axis. It will be acute angle and its trigonometric ratios will be the same as the given angle.Let θ be the angle. Its reference angle θ' will be:θ' = 90° - θReference angle of given angle will be

:θ'= 90° - θ = 90° - cos⁻¹ (-√2) = 45°

Step 2: Figure The terminal side of given angle will lie in third quadrant because the secant is negative and the cosine is negative in third quadrant.Draw a figure for it in third quadrant.Step 3: Find all values of θAll values of θ in [0, 360°) whose secant is

-√2:Given, secθ = -√2

Now we can write secθ in terms of cosine:

secθ = 1/cosθ⇒ 1/cosθ = -√2⇒ cosθ = -1/√2

Now, we need to find all values of θ for which cosine is -1/√2.Let's write cosine in terms of reference angle:

cos θ = -1/√2 = cos (-45°)

Here, reference angle θ' = 45° Cosine is negative in second and third quadrant because x is negative in these quadrants. So,θ = 180° ± 45°, 360° ± 45°θ = 135°, 225°, 315°, 405° These are all values of θ in [0, 360°) whose secant is -√2.

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Related Questions


Let's find 1/4+1/12

First, write the addition so the fractions have denominator 12.
Then add.1/4+1/12=?/12+1/12=?\?

Let's find 1/4+1/12First, write the addition so the fractions have denominator 12.Then add.1/4+1/12=?/12+1/12=?\?

Answers

Answer:

\(\frac{4}{12}\) or \(\frac{1}{3}\)

Step-by-step explanation:

\(\frac{1}{4} + \frac{1}{12} = \frac{3}{12} + \frac{1}{12} = \frac{4}{12}\)

suppose that a = {2, 4, 6}, b = {2, 6}, c = {4, 6}, and d = {4, 6, 8}. determine which of these sets are subsets of which other of these sets.

Answers

The given sets are:a = {2, 4, 6}b = {2, 6}c = {4, 6}d = {4, 6, 8}We need to find which set is a subset of which other set. Let's find out:⇒ b = {2, 6} is a subset of a = {2, 4, 6} because all the elements of set b are present in set a.⇒ c = {4, 6} is a subset of a = {2, 4, 6} because all the elements of set c are present in set a.⇒ d = {4, 6, 8} is not a subset of a = {2, 4, 6} because not all the elements of set d are present in set a.⇒ d = {4, 6, 8} is not a subset of b = {2, 6} because not all the elements of set d are present in set b.⇒ d = {4, 6, 8} is a subset of c = {4, 6} because all the elements of set d are present in set c. Therefore, the sets b and c are subsets of set a while the set d is a subset of set c.

help pls, 100 points

help pls, 100 points

Answers

Answer:

the answer is 3rd one I think

Answer:

Greater than -8

Step-by-step explanation:

The reason why is:

1: The circle isn't filled

2: You are moving closer to the positive numbers and the closer to the positive numbers you are (in this case) the greater the number!

I hope this helps, and have a great day! :D

Marnie’s charge for 4 1/2 hours of babysitting 

Marnies charge for 4 1/2 hours of babysitting

Answers

Answer:

$33.75

Step-by-step explanation:

Step 1:

$22.50 ÷ 3 = $7.50

Step 2:

$7.50 × 4.5 = $33.75

Answer:

$33.75

Hope This Helps :)

Arnold puts $580 in a savings the account pays 3% simple interest. how much interest will he earn in 5 years

Answers

Answer:Arnold earns $87 of interest in 5 years.

Step-by-step explanation:

What is the height of the cylinder? The figure is not drawn to scale.
V = 282.7 in²
18 in
11.3 in
7.2 in
3.6 in

What is the height of the cylinder? The figure is not drawn to scale.V = 282.7 in18 in11.3 in7.2 in3.6

Answers

The height of the cylinder is \(3 inch\)

How can the  height of the cylinder be found?

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

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Bonus: double your money! One bank promises they can double your money if you invest
with them. If that were true, and you started with just 1 penny, how many doublings would you
need to reach your pennies to the moon?

Answers

Answer:

Y'all playing with me........right???

Drag each number from the box to complete the equations that follow. Each number may be used once, more than once, or not at all. 12894 ( 36 ÷ ) − ( 36 ÷ ) = 5 ( × 3 ) − = 12

Answers

we have -4 = -4 on the left-hand side and 3 = 3 on the right-hand side, so the equation is balanced.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

12894 ( 36 ÷ 9 ) − ( 36 ÷ 2 ) = 5 ( × 3 ) − 12

Explanation:

36 ÷ 9 = 4, so we can use the digit 4 from the number 12894.

36 ÷ 2 = 18, so we can use the digit 8 from the number 12894.

Now we have (4 - 8) = -4 on the left-hand side of the equation.

5 × 3 = 15, so we can use the digit 1 from the number 12894.

15 - 12 = 3, so we can use the digit 3 from the number 12894.

Thus, we have -4 = -4 on the left-hand side and 3 = 3 on the right-hand side, so the equation is balanced.

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( 36 ÷ 4 ) − ( 36 ÷ 9) = 5 (8 × 3 ) − 12 = 12

4   9   8   12

Step-by-step explanation:

i did the test

is this right as well?

is this right as well?

Answers

Answer:

yes

Step-by-step explanation:

can i get brainliest please???

it would be very much appreciated

have a nice day :)

If 2.54 centimeters are in 1 inch, how many centimeters are in 4 inches?

1.57
8.54
10.16
15.40

Answers

Answer:

The answer is 10.16

Step-by-step explanation:

I do the asigment

suppose that the xis are independent with each one having a normal distribution. what is the probability that the total volume shipped is more than 100,000 ft3 ?

Answers

We can use the properties of the normal distribution to calculate the probability that the total volume shipped is more than 100,000 ft3.

Assuming that the xis are independent with each one having a normal distribution, the total volume shipped can be modeled as the sum of these individual normal distributions. Since the sum of independent normal distributions is also a normal distribution, we can use the properties of the normal distribution to calculate the probability that the total volume shipped is more than 100,000 ft3.

To do this, we need to find the mean and variance of the sum of the xis. The mean of the sum is simply the sum of the means of the individual distributions, while the variance of the sum is the sum of the variances of the individual distributions.

Once we have the mean and variance of the sum, we can standardize the distribution and use a normal probability table or calculator to find the probability that the total volume shipped is more than 100,000 ft3.

In general, the probability of the sum of independent normal distributions exceeding a certain value depends on the number of distributions being summed, their means and variances, and the level of significance chosen for the test. Therefore, we need to specify these parameters to calculate the desired probability.


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Develop a POQ solution and calculate total relevant costs for the data in the following table.
Period 1 2 3 4 5 6 7 8 9 10 11 12
Gross requirements 30 40 30 70 20 10 80 50

fill in the table and calculate total costs.
*Holding cost =$ 3.50 / unit/week; setup cost =$ 200 ; lead time =1 week; beginning inventory =40 . a lot-for-lot solution (enter your responses as whole numbers).

Answers

Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

How to calculate the total cost

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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 Develop a POQ solution and calculate total relevant costs for the data in the following table. Period

Alex rode his bike 25 kilometers. About how many miles did Alex ride his bike?

Answers

Answer:

Alex rode 15.5343 miles in his bike

Step-by-step explanation:

1 kilometer is 0.621371 miles, multiply 0.621371 with 25. Hope this helps!

Alex rode his bike for 15.535 miles.

What is unit conversion?

Unit conversion means the conversion between different units and measurements of the same quantity done by the process of multiplication or division.

Given

Alex rode his bike 25 kilometers

1 kilometer = 0.6214 miles

25 kilometers = 0.6214 × 25 = 15.535 miles

Hence, ride distance is 15.535 miles.

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An item is regularly priced at $83. It is on sale for 35% off the regular price.

Answers

Answer: $53.95

Step-by-step explanation:

Original Price: $83

Discount: 35%

35%=0.35

$83 x 35%, or 83 x 0.35

=29.05

$83-29.05

=$53.95

x and y are unknowns and a,b,c,d,e and f are the coefficients for the simultaneous equations given below: a∗x+b∗y=cd∗x+e∗y=f​ Write a program which accepts a,b,c,d, e and f coefficients from the user, then finds and displays the solutions x and y.

Answers

Here's a Python program that solves the simultaneous equations given the coefficients a, b, c, d, e, and f:

def solve_simultaneous_equations(a, b, c, d, e, f):

   determinant = a * e - b * d

   if determinant == 0:

       print("The equations have no unique solution.")

   else:

       x = (c * e - b * f) / determinant

       y = (a * f - c * d) / determinant

       print("The solutions are:")

       print("x =", x)

       print("y =", y)

# Accept coefficients from the user

a = float(input("Enter coefficient a: "))

b = float(input("Enter coefficient b: "))

c = float(input("Enter coefficient c: "))

d = float(input("Enter coefficient d: "))

e = float(input("Enter coefficient e: "))

f = float(input("Enter coefficient f: "))

# Solve the simultaneous equations

solve_simultaneous_equations(a, b, c, d, e, f)

```

In this program, the `solve_simultaneous_equations` function takes the coefficients `a`, `b`, `c`, `d`, `e`, and `f` as parameters. It first calculates the determinant of the coefficient matrix (`a * e - b * d`). If the determinant is zero, it means the equations have no unique solution. Otherwise, it proceeds to calculate the solutions `x` and `y` using the Cramer's rule:

```

x = (c * e - b * f) / determinant

y = (a * f - c * d) / determinant

```

Finally, the program prints the solutions `x` and `y`.

You can run this program and enter the coefficients `a`, `b`, `c`, `d`, `e`, and `f` when prompted to find the solutions `x` and `y` for the given simultaneous equations.

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Solve and graph.
k - 13 > -51

Solve and graph.k - 13 > -51

Answers

Answer:

The answer will be A k>-38

the mean number of pets owned by the population of students at a large high school is 3.2 pets per student with a standard deviation of 1.7 pets. a random sample of 16 students will be selected and the mean number of pets for the sample will be calculated.

Answers

Plz hurry!


The table below shows four problems using decimals. Problem Number Problem 1 One ounce of pretzels has 2.93 g of protein. How many grams of protein are in a 6-ounce package of pretzels? 2 Paul rides his bike at an average rate of 13.8 miles per hour. If he rode for 3.2 hours, how far did he ride? 3 Sonya made an 8-slice whole wheat pizza with cheese and veggies. If the whole pizza had 1567.9 calories, how many calories are in one slice? 4 One slice of multigrain bread has 12.4 carbs. Jules uses 6 slices to make sandwiches for his friends. How many carbs did he use? Which problem would be solved using division, and what is the solution to the problem? Problem 1 requires division. There are 2.05 g of protein in 6 oz of pretzels. Problem 2 requires division. Paul rode 4.31 miles. Problem 3 requires division. There are 195.99 calories in each slice. Problem 4 requires division. Jules used 2.07 carbs.

Answers

Answer: The answer is problem 3.

Step-by-step explanation:

I took this question and got it right.

Answer:

Its c I did it on egde unit test review

Step-by-step explanation:

Plz hurry!The table below shows four problems using decimals. Problem Number Problem 1 One ounce of pretzels
Plz hurry!The table below shows four problems using decimals. Problem Number Problem 1 One ounce of pretzels

what is the rate of change of the function represented by this graph?

what is the rate of change of the function represented by this graph?

Answers

Answer:

It's 0

Step-by-step explanation:

pls answer. On a coordinate plane, a line with a 90-degree angle crosses the x-axis at (negative 4, 0), turns at (negative 1, 3), crosses the y-axis at (0, 2) and the x-axis at (2, 0). What is the range of the function on the graph? all real numbers all real numbers less than or equal to –1 all real numbers less than or equal to 3 all real numbers less than or equal to 0

pls answer. On a coordinate plane, a line with a 90-degree angle crosses the x-axis at (negative 4, 0),

Answers

Range: All real numbers greater than or equal to 3. The Option C.

What is the range of the function on the graph formed by the line?

To find the range of the function, we need to determine the set of all possible y-values that the function takes.

Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.

Therefore, the range of the function is all real numbers greater than or equal to 3.

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I need help with these 4 questions

I need help with these 4 questions

Answers

Answer:

1st one: y=x+2

2nd one: y=x/4

3rd one: y=3x

4th one: y=x-5

Which quadratic expression is written in standard form? -X2 - 5x + 7 0 ) (x + 3)x (x + 4)2 x² + 2(x+3)

Answers

\(\begin{gathered} -x^2\text{ - 5x + 7 } \\ is\text{ in standard form} \end{gathered}\)

Because the general expression for a quadratic equation is

\(ax^2\text{ + bx + c }\)

Can someone help me with this? Thanks.

Can someone help me with this? Thanks.

Answers

Answer:

7.38461538462

Step-by-step explanation:

1/2x6/5=3.25

24/3.25=7.38461538462

Answer:

A. b = \(\frac{2a}{a}\)

B. b = 40

Step-by-step explanation:

mark brainliest pls

Can someone help me with this? Thanks.

Zachary wondered how many text messages he sent on a daily basis over the past four years. He took an SRS of 50 days from that time period and found that he sent a daily average of 22.5 messages. The daily number of texts in the sample were strongly skewed to the right with many outliers. He's considering using his data to make a 90% confidence interval for his mean number of daily texts over the past 4 years. Set up this confidence interval problem and check the conditions using the "State" and "Plan" from the 4-step process.

Answers

To set up this confidence interval, first identify the population parameter of interest, next select the appropriate estimator, then check the conditions for constructing the confidence interval that are: Randomization, Sample size and Distribution shape.


State:
Zachary wants to estimate the mean number of daily texts he sent over the past four years using a 90% confidence interval. He has an SRS of 50 days, with a daily average of 22.5 messages. The data is strongly skewed to the right with many outliers.

Plan:
1. Identify the population parameter of interest: The mean number of daily texts sent by Zachary over the past four years (µ).
2. Select the appropriate estimator: In this case, it's the sample mean = 22.5 messages.
3. Check the conditions for constructing the confidence interval:
  a. Randomization: Zachary used a simple random sample (SRS) of 50 days, which satisfies the randomization condition.
  b. Sample size: The sample size is n = 50, which is typically considered large enough for constructing a confidence interval.
  c. Distribution shape: Since the data is strongly skewed to the right with many outliers, the normality condition might not be satisfied. In this case, the Central Limit Theorem (CLT) may not apply, and the confidence interval might not be accurate.

Given the potential issue with the distribution shape, Zachary should consider either transforming the data to approximate normality or using a nonparametric method.

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: Prove that a) X'Y' + X'Y +XY = X' +Y b) A'BC' + ABC' + BC'D = BC' Find the complement of the following function a) WX(Y'Z+YZ') + W'X'(Y' +Z)(Y+Z') b) (A+B'+C') (A'B' +C)(A + B'C') Find Dual of question 2 (a, b),

Answers

a) X'Y' + X'Y + XY simplifies to X' + Y.

b) A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the functions:

a) Complement is W' + X' + YZ.

b) Complement is (A' + B + C)(A'B' + C' + A'B).

a) To prove X'Y' + X'Y + XY = X' + Y, we can use Boolean algebra identities:

X'Y' + X'Y + XY

= Y'(X' + X) + XY(Distributive Law)

= Y' + XY(X + X' = 1)

= X' + Y(Commutative Law)

Therefore, X'Y' + X'Y + XY simplifies to X' + Y.

b) To prove A'BC' + ABC' + BC'D = BC', we can simplify the expression using Boolean algebra:

A'BC' + ABC' + BC'D

= BC'(A' + A) + BC'D   (Distributive Law)

= BC' + BC'D(A + A' = 1)

= BC'(BC' + BC'D = BC' + BC'(1) = BC')

Hence, A'BC' + ABC' + BC'D simplifies to BC'.

Complement of the given functions:

a) The complement of WX(Y'Z + YZ') + W'X'(Y' + Z)(Y + Z') is W' + X' + YZ.

b) The complement of (A + B' + C')(A'B' + C)(A + B'C') is (A' + B + C)(A'B' + C' + A'B).

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Event A occurs with probability of 0.3 and event B occurs with probability 0.4. If A and B are independent, we may conclude that P (B/A) = 0.4. P (A and B) = 0.12. P (A/B) = 0.3. P (A or B) = 0.58. all of the answers are correct.

Answers

If A and B are independent, then the correct statements are P(A and B) = 0.12 and P(A or B) = 0.58.

Which statements regarding the probabilities of events A and B are correct when they are independent?

Let's evaluate each statement:

P(B/A) = 0.4:

This statement is incorrect. If events A and B are independent, the occurrence of event A does not affect the probability of event B.

Therefore, P(B/A) would still be equal to the probability of B, which is 0.4 in this case.

P(A and B) = 0.12:

This statement is correct. The probability of the intersection of independent events A and B is calculated by multiplying their individual probabilities. In this case, P(A and B) = P(A) * P(B) = 0.3 * 0.4 = 0.12.

P(A/B) = 0.3:

This statement is incorrect. If events A and B are independent, the occurrence of event B does not affect the probability of event A. Therefore, P(A/B) would still be equal to the probability of A, which is 0.3 in this case.

P(A or B) = 0.58:

This statement is incorrect. To calculate the probability of the union of two events, we need to consider whether the events are mutually exclusive or not.

If events A and B are independent, but not mutually exclusive, we can calculate P(A or B) as P(A) + P(B) - P(A and B). In this case, P(A or B) = 0.3 + 0.4 - 0.12 = 0.58.

Therefore, the correct statements are:

P(A and B) = 0.12P(A or B) = 0.58

The statements regarding P(B/A) = 0.4 and P(A/B) = 0.3 are incorrect in the context of independent events A and B.

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5 (3 + 6)2 - 62
evaluate this exponential expression

Answers

Step-by-step explanation:

5(3+6)2-62

(15+30)2-62

30+60-62

90-62=28

Sarah purchased 8kg of sugar, 10kg of
flour, 500g of cocoa, 225g of pecans,
and 275g of coconut. How much do all
her groceries weigh in kilograms?

Answers

The total weight is 18.5 kilograms

3. Would you expect these patterns to apply for all negative numbers? Why or why not?

Answers

Answer:

sure

Step-by-step explanation:

just trust me on this one

Please help, what is the common side of the triangles ABC and DCB?

Please help, what is the common side of the triangles ABC and DCB?

Answers

BC is the common side of both the triangles.

Answer:

BC

Step-by-step explanation:

Common side in both triangles is BC

    Sides of ΔABC,

                   AB ;  BC  and AC

   Sides of ΔDCB,

                  DC, BC and DB

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