Find the value of x to the nearest tenth

The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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The scale factor used to dilate triangle D to create triangle D' is 1/3. This means that each side length in triangle D' is one-third of the corresponding side length in triangle D.

To determine the scale factor used to dilate triangle D to create triangle D', we can compare the corresponding side lengths of the two triangles.

In triangle D, the side lengths are given as 18, 24, and 30. In triangle D', the corresponding side lengths are given as 6, 8, and 10.

To find the scale factor, we can divide the corresponding side lengths of D' by the corresponding side lengths of D.

Scale factor = Length of corresponding side in D' / Length of corresponding side in D

For the corresponding sides, we have:

Scale factor = 6/18 = 1/3

Please note that the scale factor can also be determined by comparing the area or perimeter of the two triangles. However, in this case, we used the corresponding side lengths to find the scale factor.

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Answer:

D. 17 to 9

Step-by-step explanation:

I calculated it logically

Answer:

The frequency of B in the C major key can be found in the table, and it is 494 Hz.

The frequency of middle C is 262 Hz.

So the ratio of the frequency of B to middle C is:

494 Hz / 262 Hz ≈ 1.886

To express this as a simple integer ratio, we can divide both 494 and 262 by their greatest common factor, which is 2:

494 Hz / 2 = 247 Hz

262 Hz / 2 = 131 Hz

So the ratio of the frequency of B to middle C is:

247 Hz / 131 Hz = 19/10 ≈ 1.9

This ratio is closest to 2, but we need to express it as a simple integer ratio. The closest simple integer ratio is 19 to 10.

Therefore, the answer is (D) 17 to 9

Answer:

Step-by-step explanation:

Just took the test I hope this helps a little

The y-intercept of line is at (0, -6) and the domain is (-∞, ∞). Then the correct options are A and D.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The graph of the line is shown below.

The line intersects the y-axis at (0, -6). Then the y-intercept of the line is (0, -6).

The domain of the linear function will be a real number.

And the range of the linear function is also real number.

Then the correct options are A and D.

The graph is given below.

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The Propositions are resulting

(a) ∀x∃y(x = y²) is False

(b) ∀x∃y(x² = y) is True.

(c) ∃x∀y(xy = 0) is True.

(d) ∀x∃y(x + y = 1) is True.

(a) ∀x∃y(x = y²)

This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².

Therefore, the proposition (a) is false.

(b) ∀x∃y(x² = y)

For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.

Therefore, the proposition (b) is true.

(c) ∃x∀y(xy = 0)

The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.

Therefore, the proposition (c) is true.

(d) ∀x∃y(x + y = 1)

To determine the truth value, we need to check if this statement holds true for every value of x.

If we take any value of x, we can find a corresponding value of y that satisfies the equation.

For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.

Therefore, the proposition (d) is true.

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Well, the only absolute value of -8 is 8.

Answer:

8

Step-by-step explanation:

Any absolute value of a negative, is the same number but in positive form.

Ex : I-6I = +6

The 1 in y = 1/7x+1, is the y-intercept. Its coordinates are (0,1). 1/7 means you are going up 1 and to the right 7, since it's positive.

On a graph, it looks like the graph above.

Answer:

52.6

Step-by-step explanation:

263/5=52.6

Answer:

53

Step-by-step explanation:

You must take 263 and divide it by 5

263/5 = 52.6

So, 5 times 52 = 260

BUT 5 times 53 = 265.  You would need 53 fish bowls

Thus, the volume of composite figure made by cylinder and cone is found as 6051.82 cu. ft.

A cylinder is special due to a variety of factors. Among them are:

Given data:

Volume of composite figure = volume (cylinder) + volume (cone)

Volume of composite figure = πr²H   + 1/3*πr²h

Volume of composite figure = 3.14*7²*34   + 1/3*3.14*7²*16

Volume of composite figure = 5231.24 + 820.58

Volume of composite figure = 6051.82 cu. ft

Thus, the volume of composite figure made by cylinder and cone is found as 6051.82 cu. ft.

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Answer:

a

Step-by-step explanation:

The perimeter of the figure, is represented by the expression, 14x + 16.

The perimeter of a figure is the total length of the outer boundaries of the figure. It is the sum of all the sides of the figure.

The perimeter is used to determine the size of a figure and can be calculated by adding the lengths of all the sides together.

Therefore:

Perimeter of the figure = 4(2x - 1) + 2(3x + 10)

To simplify the expression 4(2x - 1) + 2(3x + 10), we can distribute the constants (4 and 2) to the expressions inside the parentheses.

First, we'll simplify 4(2x - 1) using the distributive property:

4(2x - 1) = 4(2x) + 4(-1) = 8x - 4

Next, we'll simplify 2(3x + 10) using the distributive property:

2(3x + 10) = 2(3x) + 2(10) = 6x + 20

Now we can add the two simplified expressions together:

8x - 4 + 6x + 20 = 14x + 16

So, the simplified form of 4(2x - 1) + 2(3x + 10) is 14x + 16.

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Answer:

  $12

Step-by-step explanation:

Jane's commission is the product of sales and her rate.

  commission = (20)($4.00)(0.15) = $12.00

Jane's commission is $12.00 if she sells 20 boxes of pencils.

9514 1404 393

Answer:

  1856

Step-by-step explanation:

The numbers given do not have a common difference, but they do have a common ratio:

  58/29 = 116/58 = 2

The general term of a geometric sequence with first term a1 and common ratio r is ...

  an = a1×r^(n-1)

For this sequence, a1=29 and r=2, so the general term is ...

  an = 29×2^(n-1)

Then the 7th term is ...

  a7 = 29×2^(7-1) = 29×64 = 1856

The 7th term is 1856.

_____

If you prefer, you can double each term until you have 7 of them.

 29, 58, 116, 232, 464, 928, 1856, ...

Answer:

Step-by-step explanation:

(0, -1) (3,3)

(3 + 1)/(3 - 0) = 4/3

y + 1 = 4/3(x - 0)

y + 1 = 4/3x - 0

y = 4/3x - 1

answer is A

Given statement solution is :- The actual length of the part is 3751/64 inches.

To find the length of the actual part, you can use the scale factor and the length of the part on the drawing. The formula for finding the actual length is:

Actual Length = Length on Drawing × Scale Factor

In this case, the length on the drawing is given as 3 7/8 inches, and the scale factor is given as 15 ¹/8. Let's calculate the actual length:

Length on Drawing = 3 7/8 inches = (3 × 8 + 7) / 8 = 31/8 inches

Scale Factor = 15 ¹/8

Now we can substitute the values into the formula:

Actual Length = (31/8 inches) × (15 ¹/8)

To perform the multiplication, we can convert the mixed fraction into an improper fraction:

15 ¹/8 = (15 × 8 + 1) / 8 = 121/8

Now we can multiply the fractions:

Actual Length = (31/8) × (121/8)

To multiply fractions, we multiply the numerators together and the denominators together:

Actual Length = (31 × 121) / (8 × 8)

Actual Length = 3751 / 64

Therefore, the actual length of the part is 3751/64 inches.

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Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!

I think the independent variable is the number of the students who attend the fiesta and the dependent variable is the amount of food there will be at the fiesta

Answer: 1/2

Step-by-step explanation:

Answer:

3x+7=y

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hi,

the function is defined for all reals so the domain is \(]-\infty;+\infty[\)

for x real

|x| >= 0

so f(x) >= 4

so the range is \([4;+\infty[\)

do not hesitate if you need any further explanation

hope this helps

Answer:

Domain: (-∞,∞) Range: (4,∞)

The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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GIVEN

The mean of the distribution is 75% with a standard deviation of 8%. Edna scores 85% on the test.

SOLUTION

The z-score can be used to get the percentage that Edna's score falls into. The formula is given to be:

From the information provided, the following parameters can be substituted into the formula:

Using tables, the score corresponds to 89.44% of her class.

Therefore, Edna doesn't rank in the top 10% of her class because approximately 10.6% of the class scored bove her.

OPTION D is the correct option.

Answer:

4/10

2/5

6/15

Step-by-step explanation:

We can change all fraction to decimal :

2/10 = 0.2

1/10 = 0.1

4/10 = 0.4

2/5 = 0.4

4/5 = 0.8

6/15 = 0.4

Base on that we can see that 4/10, 2/5, and 6/15 are equal

~lenvy~

The two tanks differ in terms of Filling rates and initial volumes.

We can work with the equation for tank A, which represents a linear relationship between the volume of liquid in the tank (y) and the time it has been filling (x).

The equation y = 75x + 110 tells us that the tank A is filling at a constant rate of 75 units per minute, starting with an initial volume of 110 units.

To analyze the data for tank B, we would need to know the volumes of the tank at different times as it is being filled.

If the relationship for tank B is also linear, we could find the equation that represents it by using two points from the table and the slope-intercept form of a linear equation (y = mx + b). Once we have both equations, we can compare them to see how the two tanks differ in terms of filling rates and initial volumes.

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Answer:

24cm squared

Step-by-step explanation:

do base x height = 48 then as it is half of a square you half it.

The equations that can be used to determine the length of the room are:

y(y + 5) = 750

y²– 5y = 750

(y - 30) (y + 25) = 0

A rectangle is a two-dimensional object that has four sides and four right angles. The sides of a rectangle are known as the width and the length.  A rectangle has two diagonals of equal length which bisect each other at right angles.

Area of a rectangle = length x width

750 = y x (y - 5)

750 = y² - 5y

y² - 5y - 750 = 0

The factors of -750y² that add up to -5y are 25y and -30

(y² + 25y)(-30y - 750) = 0

y(y + 25) = 0

-30(y + 25) = 0

(y - 30) (y + 25) = 0

Here is the complete question:

The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0

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Answer:

Explanation:

Here, we want to find the value of the missing variable w

We start by substituting the individually given values as follows:

The probability that it is raining if the flight has been delayed is 0.07, or 7%.

We can use the following formula to calculate the probability that it is raining if the flight has been delayed:

P(Rain|Delayed) = P(Rain and Delayed) / P(Delayed)

We are given that P(Rain) = 0.07 and P(Delayed) = 0.18. We can also use the fact that P(Rain and Delayed) = P(Rain) * P(Delayed):

= 0.07 * 0.18

= 0.0126.

Substituting these values into the formula, we get:

P(Rain|Delayed) = 0.0126 / 0.18 = 0.07

Therefore, the probability that it is raining if the flight has been delayed is 0.07, or 7%.

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The required rate of simple interest is 1.75%.

Here, we have,

(Principal + Interest) is a straightforward interest equation.

A = P(1 + rt)

Where: A is the sum of the accrued principal and interest.

Principal Amount is P.

I is the interest rate.

r is the annual percentage rate of interest, or R/100.

R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.

Since I = Prt,

the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,

which may be represented as A = P(1 + rt).

Given: Principal is $1,300

Rate is 7% and the amount earned that is A-P is $159.25.

A = P(1 + rt)

Therefore substituting the values in the above mentioned equation, we get:

159.25= 1300(1+r×7)

On solving we get,

r= 1.75%

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complete question:

At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.

What rate of simple interest is offered at the

Blue Bank?