point(s) possible Solve for exact solutions over the interval (0.2x). cos 2x= Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution set is

Answers

Answer 1

The solution set is {π/8, 3π/8}.

The given equation is cos

2x = 0.

We have to solve this equation for the exact solutions over the interval (0, 2x).

cos 2x = 0

Given equation can be written as:

2 cos^2x – 1 = 0

⇒ cos^2x = 1/2

⇒ cos x = ±(1/2)^(1/2)cos x

= ±(1/√2)

Now, we have to find the values of x in the interval (0, 2x) where

cos x = ±(1/√2)

Let's find the first value of x:cos

x = 1/√2

⇒ x = π/4 (in the interval 0 to 2π)

Similarly, the second value of x:cos x

= -1/√2

⇒ x = 3π/4 (in the interval 0 to 2π)

Therefore, the solution set is {π/8, 3π/8}.

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Related Questions

if y = -4 when x = 1, find when x = 3

Answers

Answer:

Would it be -12?

Step-by-step explanation:

I say this because if the equation is linear it should be y= -12! I'm sorry if this is wrong!

State what additional information is required in order to know the
triangles are congruent using the theorem or postulate listed.

State what additional information is required in order to know thetriangles are congruent using the theorem

Answers

Answer: line ZX is congruent to line VX (option 4)

Step-by-step explanation:

We already know <X is congruent to <X, we also know that line YX is congruent to line XW. Now all we need is one more line adjacent to X which is going to be ZX ad VX

Point O is on line segment NP. Given OP = 10, NP = 2x, and NO = x + 7,
determine the numerical length of NO.

Point O is on line segment NP. Given OP = 10, NP = 2x, and NO = x + 7,determine the numerical length

Answers

Answer:

Step-by-step explanation:

?

Answer:

Its 24

Step-by-step explanation:

A potential is V(x,z) = 4bx^2+4az^3-3cz^3. Find E field
= 0. A b and c are positive

Answers

The electric field (E-field) associated with the given potential function V(x, z) = 4bx^2 + 4az^3 - 3cz^3 is E = -8bx i - (12az^2 - 9cz^2)j.

To find the electric field (E-field) associated with the given potential function, we need to calculate the negative gradient of the potential. The E-field is given by the following formula:

E = -∇V

Where ∇ is the gradient operator. In this case, the potential function V(x, z) is defined as:

V(x, z) = 4bx^2 + 4az^3 - 3cz^3

To calculate the E-field, we need to take the partial derivatives of V with respect to x and z and then apply the negative sign. Let's calculate each component separately:

Partial derivative with respect to x (dV/dx):

dV/dx = 8bx

Partial derivative with respect to z (dV/dz):

dV/dz = 12az^2 - 9cz^2

Now, we can write the E-field vector as:

E = -∇V = -(dV/dx)i - (dV/dz)j

Substituting the calculated partial derivatives, we have:

E = -8bx i - (12az^2 - 9cz^2)j

Therefore, the electric field (E-field) associated with the given potential function V(x, z) = 4bx^2 + 4az^3 - 3cz^3 is:

E = -8bx i - (12az^2 - 9cz^2)j

Note that the positive constants b and c are included in the E-field expression.

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Convert 2.340 x 10-4 to decimal format.A) 23,400 B) 2,340 C) 0.000234 D) 0.0002340 E) 0.002340

Answers

After  converting 2.340 x 10⁴ to decimal format we will be getting 0.000234. So, the correct answer choice is options (C) which is  0.000234.

In order to convert the given epression i.e. 2.340 x 10⁴ to decimal format, we are required to move the decimal point four places to the left since the exponent is negative.

In order to find the correct decimal format, starting with 2.340, we move the decimal point four places to the left, then the value we will be getting is equal to 0.000234

Therefore, from the above calculation we can draw the inference that the correct answer is option C) i.e 0.000234.

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Two amateur marathoners were running a marathon. The first marathoner kept a steady pace and was able to finish in four hours. The second marathoner was keeping 4 the speed of the speed of the first runner. Then he was tired and his speed for the 3
second half of the distance was only 3 4 the speed of the first runner. How much did it
take the second runner to finish the distance?

Answers

It takes the second marathoner 4 hours and 40 minutes to complete the marathon.

Let's assume the distance of the marathon is "d" miles.

The first marathoner runs at a constant speed for 4 hours, so we can find their speed as:

speed = distance / time = d / 4

The second marathoner starts by running at 4 times the speed of the first marathoner, so their speed is:

speed = 4(d / 4) = d

For the second half of the race, the second marathoner's speed drops to 3/4 of the first marathoner's speed. Let's assume it takes "t" hours for the second marathoner to complete the second half of the race. Then, we can write:

d / 2 = (3/4)(d / 4)(t)

Simplifying this equation, we get:

t = (2/3) hours

So the total time it takes the second marathoner to finish the race is:

4 + (2/3) = 4 2/3 hours = 4 hours and 40 minutes.

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what is the answer to this?

what is the answer to this?

Answers

the two triangles are not similar.

Ramundo is shopping for a new pair of rollerblades. Roller World sells a pair of rollerblades for $94 regular price. Currently, the rollerblades are on sale for 15% off. Outdoor Adventures sells the same pair of rollerblades for $81.50 with no discount. The sales tax rate in Ramundo's city is 6%.



Part A



To get the better deal, Ramundo should buy the rollerblades from , 1 of 2.
Select Choice
.



Part B



In doing so, he will save , 2 of 2.
Select Choice
(after tax) over the other store.

Answers

Ramundo will get a better deal at Roller worlds.

This is a question of percentages.

Given that:-

Regular price of rollerblades at roller world = $ 94

Discount at rollerworld = 15 %

Price of rollerblades at Outdoor adventures = $ 81.50

Sales tax = 6 %

Price of rollerblades at roller world after discount = 94 - (15/100)*94 = 94 - 14.1 = $79.9

Price of rollerblades at roller world after sales tax = 79.9 + (6/100)*79.9 = 79.9 + 4.794 = $ 84.694

Price of rollerblades at outdoor adventures = $81.50

Price of rollerblades at roller world after sales tax = 81.50 + (6/100)*81.50 = 81.50 + 4.89 = $ 87.39

As,

$ 84.694 <  $ 87.39

Ramundo will get a better deal at Roller worlds.

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the estimated simple linear regression equation minimizes the sum of the squared deviations between each value of y and the line. True or false

Answers

The given statement "The estimated simple linear regression equation minimizes the sum of the squared deviations between each value of y and the line" is true because it provides the best fit line.

The simple linear regression equation estimates the relationship between two variables - a dependent variable (y) and an independent variable (x) - by fitting a straight line through the data points.

The line is chosen so that the sum of the squared deviations (also known as the sum of squared errors or SSE) between the observed values of y and the predicted values of y on the line is minimized.

In other words, the simple linear regression equation finds the line that is closest to all the data points in terms of the vertical distance between the points and the line.

This line is chosen to minimize the sum of squared deviations because it provides the best estimate of the relationship between x and y, and it allows for the prediction of y values for a given x value.

Thus, minimizing the sum of squared deviations is a crucial aspect of the simple linear regression equation because it ensures that the line of best fit provides the most accurate estimate of the relationship between the variables.

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anyone know the answer??

anyone know the answer??

Answers

The measure of the indicated angle to the nearest degree can be found to be A. 51 degrees .

How to find the angle ?

The cosine function is defined as the ratio of the adjacent side to the hypotenuse in a right triangle .

In this case , the adjacent side is 17 and the hypotenuse is 27 . This means that the angle can be found to be :
Cos ( angle ) = Adjacent / Hypotenuse

Cos ( angle ) = 17 / 27

Angle = Cos ⁻ ¹ ( 17 / 27 )

Angle = 50. 98 degrees

Angle = 51 degrees

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Someone please help me I don’t understand

Someone please help me I dont understand

Answers

Answer:

ion understand either lol

Drag steps into order to correctly solve the equation x + 23 = 58 for x.

Answers

Please mark as brainliest

Answer:

35

Step-by-step explanation:

x+23=58

x=58-23

x=35

Two numbers that multiple to be 40 that add to be -14

Answers

Answer: -4 and -10

Step-by-step explanation:

-4 and -10

-4x-10=40

-4+-10=-14

The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?

Answers

Answer:

Yes, this is a right triangle.

Step-by-step explanation:

Hypotenuse always have the highest number than base and perpendicular.

Hypotenuse ( h ) = 15

Base ( b ) = 9

Perpendicular ( p ) = 12

Let's see whether the given triangle is a right triangle or not

Using Pythagoras theorem:

\( {h}^{2} = {p}^{2} + {b}^{2} \)

Plugging the values,

\( {15}^{2} = {12}^{2} + {9}^{2} \)

Evaluate the power

\(225 = 144 + 81\)

Calculate the sum

\(225 = 225\)

Hypotenuse is equal to the sum of perpendicular and base.

So , we can say that the given lengths of the triangle makes a right triangle.

Hope this helps..

Best regards!!

Answer:

\(\boxed{Yes.}\)

Step-by-step explanation:

To solve this equation, we can use the Pythagorean Theorem: \(a^2 + b^2 = c^2\), where \(a\) and \(b\) are regular side lengths and \(c\) is the hypotenuse.

The hypotenuse is the longest side of a triangle and is assigned to the \(c\)-variable.The other two side lengths can be assigned to either \(a\) or \(b\) because of the commutative property: \(a + b = b + a\).

Now, just substitute the side lengths into the formula and solve!

\(9^2 + 12^2 = 15^2\)    Simplify the equation by taking each value to its power.

\(81 + 144 = 225\)    Simplify by adding like terms.

\(225 = 255\)

Therefore, this is indeed a right triangle.

Identify the type of figure

Identify the type of figure

Answers

The answer will be option 6. angle

Answer:

Angle hope it helped brainiest plz

Step-by-step explanation:

The figure it a angle.

Finding the side length of a cube from its Volume in liters A technical machinist is asked to build a cubical steel tank that will hold 275 L of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest 0.001 m. X 5 ?

Answers

The smallest possible inside length of the cubical steel tank that can hold 275 liters of water is approximately 0.640 meters.

The side length of the cube is found by converting the volume of water from liters to cubic meters, as the unit of measurement for the side length is meters.

Given that the volume of water is 275 liters, we convert it to cubic meters by dividing it by 1000 (1 cubic meter = 1000 liters):

275 liters / 1000 = 0.275 cubic meters

Since a cube has equal side lengths, we find the side length by taking the cube root of the volume. In this case, we find the cube root of 0.275 cubic meters:

∛(0.275) ≈ 0.640

Rounded to the nearest 0.001 meters, the smallest possible inside length of the tank is approximately 0.640 meters.

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If you eat a diet with 2,000 kilocalories and 45 percent of those calories come from protein, about how many grams of protein did you eat?

Answers

The amount of Protein intake is 900 kilocalorie.

We have - 2000 Kilocalories of diet and 45 Percent of calories come from Proteins.

Wе have to find out the amount of protein intake.

If ' x ' students out of total ' n ' students in a class are infected by virus. Then, what percentage of students are infected.

Percentage of students affected are -  \(\frac{x}{n} \times 100\)

In the question given -

Let the amount of Protein intake be y.

Then -

45 = y % of 2000

45 = \(\frac{y}{2000} \times100\)

y = \(\frac{45\times2000}{100}\)

y = 900 Kilocalorie

Hence, the amount of Protein intake is 900 kilocalorie.

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Question 2 For the following matrix Then [340]
A= [-127]
[-2-44]
(Please use a comma between two numbers.)
(a) The minors M13, M23, M33= 8,-4,10
(b)The cofactors C13, C23,C33= 8,4,10 (c) The determinant det(A) = 68

Answers

For the given matrix A, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. The determinant det(A) is 68.

To find the minors of a matrix, we need to find the determinants of the submatrices obtained by removing the row and column corresponding to the element of interest. In this case, the minors M13, M23, and M33 correspond to the determinants of the 2x2 submatrices obtained by removing the first row and the third column, second row and third column, and third row and third column, respectively.

To find the cofactors, we multiply each minor by a positive or negative sign based on its position in the matrix. The signs alternate starting with a positive sign for the top left element. In this case, the cofactors C13, C23, and C33 correspond to the minors M13, M23, and M33 respectively.

Finally, the determinant of a 3x3 matrix can be found by using the formula det(A) = a11C11 + a12C12 + a13C13, where a11, a12, and a13 are the elements of the first row of the matrix and C11, C12, and C13 are their corresponding cofactors. In this case, the determinant det(A) is 68.

Therefore, the minors M13, M23, M33 are 8, -4, and 10 respectively. The cofactors C13, C23, C33 are 8, 4, and 10 respectively. And the determinant det(A) is 68.

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PLEASE HELP ME!! THIS IS A MATH TEST!! PLEASE HELP!!

Person A buys 6 granola bars and 4 cups of yogurt for $10.50. Person B buys 4 granola bars and 8 cups of yogurt for $11. Find the cost of each item.

Granola Bar costs:
a cup of yogurt costs:
PLEASE AND THANK YOUUU!!!!!!​

Answers

the granola bar costs $1.50

the yogurt costs 50 cents = $0.50

What is the area of the triangle?

What is the area of the triangle?

Answers

Answer: 60 square units

Area of a triangle formula: 1/2 * base * height

So, the height is 10 units and base is 12 units

1/2 * 10 * 12

= 60 square units

(3m^2)^-3 simplify and give the answer using positive exponents

Answers

Answer:

Step-by-step explanation:

Automatic Transmissions, Inc., has the following estimates for its new gear assembly project: price = $940 per unit; variable cost = $340 per unit; fixed costs = $3.4 million; quantity = 53,000 units. Suppose the company believes all of its estimates are accurate only to within ±15 percent. What values should the company use for the four variables given here when it performs its best-case scenario analysis? What about the worst-case scenario?

Answers

In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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3x - 5(x -5) = - 3 + 5x + 7

Answers

Answer:

x=3

Step-by-step explanation:

3x-5x+25= 5x+4

-2x+25=5x+4

+2x.      +2x

25=7x+4

-4.      -4

21=7x

/7. /7

3=x

Hopes this helps please mark brainliest

Answer:

x = 3

Step-by-step explanation:

3x - 5(x -5) = - 3 + 5x + 7

3x - 5x + 25 = 4 + 5x

3x - 5x -5x = 4 - 25

-7x = -21

x = -21 : (-7)

x = 3


Tyler's brother earns a commission. He makes 6.5% of the amount he sells. Last week, he sold $900 worth of shoes.
How much was his commission?

Answers

Answer:

He earns $58.5

Step-by-step explanation:

i did the math

Which is the graph of f(x) = (x + 3)(x - 2)?
Ty
2
4
8
o
- 4 2
4
HELP IM BEING TIMED

Which is the graph of f(x) = (x + 3)(x - 2)?Ty248o- 4 24HELP IM BEING TIMED

Answers

Answer:

the too left graph us the abswer,

Because

f(x) = (x + 3)(x - 2) has positive cieff of the x^2 term, and also it has roots of -3 and 2

The graph of the function  f(x) = (x + 3)(x - 2) is first graph.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To graph the function f(x) = (x + 3)(x - 2), we can start by finding its x-intercepts, y-intercept, and any vertical or horizontal asymptotes.

First, to find the x-intercepts, we set y = 0 and solve for x:

(x + 3)(x - 2) = 0

This equation is true when x = -3 or x = 2. Therefore, the x-intercepts of the graph are -3 and 2.

Next, to find the y-intercept, we set x = 0 and evaluate:

f(0) = (0 + 3)(0 - 2) = -6

Therefore, the y-intercept of the graph is -6.

The graph of f(x) = (x + 3)(x - 2) is a parabola that opens up because the sign of the two factors, (x + 3) and (x - 2), are both positive.

This means that the graph of f(x) will be a parabola that opens up with its vertex located at the point where the two factors are equal to each other

Hence, the graph of the function  f(x) = (x + 3)(x - 2) is first graph.

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2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.

Answers

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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4x - 2y = 5 and y = 3x - 1

Answers

Answer:

4x_2y=5

4x=5+2y

x=5+2y/5

now, y=3x_1

putting value of x in second question

In this way you can do

What is the product of (2i) and (5+3i)?
Group of answer choices

-6 + 10i

10 + 6i

16i

10 - 6i

Answers

The value of the product expression given as product of (2i) and (5+3i) is 10i -6

How to determine the product?

The product expression is given as:

product of (2i) and (5+3i)

Rewrite the expression as:

(2i) * (5+3i)

Open the brackets

(2i) * (5+3i) = 10i + 6i^2

Evaluate

(2i) * (5+3i) = 10i + 6(-1)

This gives

(2i) * (5+3i) = 10i -6

Hence, the value of the product expression given as product of (2i) and (5+3i) is 10i -6

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Marlene is trying to estimate v 42. She uses this table of values:
Square 6.02 6.12 6.22 6.32 6.42 6.52
Value
36.0 37.2 38.4 39.7 41.0 42.3
Square 6.62 6.72 6.82 6.92 7.02
Value
43.6 44.9 46.2 47.6 49.0
What should she do next to find 42 to the nearest hundredth?
A. She should find the squares of numbers between 6.4 and 6.5.
ООО
B. She should find the average of 6.4 and 6.5.
C. She should find the squares of numbers between 6.5 and 6.6.
O D. She should estimate that 42 is 6.50,

Answers

The thing that Marlene should to find the square root of 42 will be B. She should find an average of 6.4 and 6.5.

How to illustrate the information?

It should be noted that the main thing that can be deduced from the information is to find the square root of 42 based on the information given.

In this case, some earlier numbers have been given and their square roots are illustrated.

Therefore, the thing that Marlene should to find the square root of 42 will be that she should find the average of 6.4 and 6.5.

It should be noted that the square root of 42 falls between 6.4 and 6.5.

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Mark has an art gallery. He sells paintings for $150 each. It only cost Mark $20.00 to create the paintings. What is Mark's gross profit margin?
[?]%
Round to the nearest whole number.​

Answers

Answer:

Step-by-step explanation:

45

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