help pls? asap. pls and ty :)​

(i) 3 csc²(x) - 4 = 0

3 csc²(x) = 4

csc²(x) = 4/3

sin²(x) = 3/4

sin(x) = ± √3/2

x = arcsin(√3/2) + 2nπ  or   x = arcsin(-√3/2) + 2nπ

x = π/3 + 2nπ   or   x = -π/3 + 2nπ

where n is any integer. The general result follows from the fact that sin(x) is 2π-periodic.

In the interval 0 ≤ x ≤ 2π, the first family of solutions gives x = π/3 and x = 4π/3 for n = 0 and n = 1, respectively; the second family gives x = 2π/3 and x = 5π/3 for n = 1 and n = 2.

(ii) 4 cos²(x) + 2 cos(x) - 2 = 0

2 cos²(x) + cos(x) - 1 = 0

(2 cos(x) - 1) (cos(x) + 1) = 0

2 cos(x) - 1 = 0   or   cos(x) + 1 = 0

2 cos(x) = 1   or   cos(x) = -1

cos(x) = 1/2   or   cos(x) = -1

[x = arccos(1/2) + 2nπ   or   x = 2π - arccos(1/2) + 2nπ]   or   x = arccos(-1) + 2nπ

[x = π/3 + 2nπ   or   x = 5π/3 + 2nπ]   or   x = π + 2nπ

For 0 ≤ x ≤ 2π, the solutions are x = π/3, x = 5π/3, and x = π.

===============================================

Explanation:

Let x be the net winnings the customer gets

Saying something like x = 24 means you've walked away with $24. This occurs when you pay $1, and get $25 back in prizes, so 25-1 = 24 dollars overall.

The probability of this event occurring is 1/100 since there's only one ticket with the $25 prize

Make a table as shown below. It represents all the possible x values which are all the possible net winnings. Note how 1/100 = 0.01, 3/100 = 0.03 and 95/100 = 0.95

The third column is x*p(x) which is the product of the first two columns. Adding everything in the third column (that isn't highlighted in yellow) gets us the value -0.45 which is the expected value for the customer.

This represents a loss of $0.45, aka a loss of 45 cents. This is from the perspective of the customer.

Flipping things around, the pizza company will see this is as a gain of $0.45 or a gain of 45 cents.

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

Here's another way to see why this works:

The pizza company earns $100 in revenue since 100 tickets are sold for a dollar each. The company pays out 25+15+3*5 = 55 dollars in prizes overall. That means the company will make a profit of 100-55 = 45 dollars. So the average profit per ticket is 45/100 = $0.45 aka 45 cents and this is from the viewpoint of the pizza company (not the customer). The positive average profit represents a gain.

Answer:

f(x) = x^2 ( x -4i) (x+4i)

Step-by-step explanation:

f(x) = x^4 + 16x^2

Factor out x^2

f(x) = x^2 ( x^2 +16)

f(x) = x^2 ( x^2 - -16)

The square root of -16 is 4i and -4i

Using the difference of square (a^2 - b^2) = (a-b)(a+b)

f(x) = x^2 ( x -4i) (x+4i)

Answer:

Step-by-step explanation can’t because he might pull out more than 10 dollars or less than 10 dollars.

Answer:

The answer is (3 ,5)

Step-by-step explanation:

Please give brainliest!!!

Answer:

(3,5)

Step-by-step explanation:

order pair of A is (3,5)

3 is x component.

5 is y component.

Answer:

a) G

b) C

Step-by-step explanation:

Triangle A is congruent to triangle G

Triangle D is congruent to Triangle C

Answer:love

Step-by-step explanation:

Inequalities and Absolute Value Equations.

x > 3 and x < 5

Inequality Form:3<x<5

Interval Notation:

(3,5)

An inequality is a mathematical statement that compares algebraic expressions using greater than (>), less than (<), and other inequality symbols

The 5 inequality symbols are less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and the not equal symbol (≠).

Think about the example of the compound inequality: x < 5 and x ≥ −1. The graph of each individual inequality is shown in color. Since the word and joins the two inequalities, the solution is the overlap of the two solutions. This is where both of these statements are true at the same time.

To learn more about inequality, refer

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Answer:

60

[tex]2^{2} * 3 * 5[/tex]

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

Have a nice day :)

Answer:

592 Votes

Step-by-step explanation:

According to the Question,

                                 A        B       С

Candidates Votes     67      57     54

And, There are 1571 students in the school.

⇒(1571/178)×67

⇒591.33 ≈ 592 Votes(Approximately)

Answer:

The answer is "Option 5"

Step-by-step explanation:

Please find the complete question in the attached file.

Throughout the above output the regression equation is:

Delivery cost [tex]=0.469\times weight +9.617[/tex]

Answer:

47/60

Step-by-step explanation:

Find the LCM and multiply to get there.

LCM is 60

63/60-16/60

47/60

Answer:

Step-by-step explanation:

343: = 7 * 7 * 7

x^9: = x^3 * x^3 * x * x * x = x^3 * x * √x

y^12: = y^6 * y^6

z^6: = z^3 * z^3

So the square root  is

√343 = 7 √7

√x^9 = x^4√x

√y^12 = y^6

√z^6 = x^3

The rule is for every pair of equal factors, you take one outside the root sign and throw the other one away.

So z^6 for example is z^3 * z^3 Take one of the pair outside the root sign and throw the other one away.

x^9 is rather tricky. You take x^4 out and there is still one x left over. You leave it under the root sign.

So the answer is

7  * x^4 * y^6 * z^3 * √7x

Answer:

A and E

Step-by-step explanation:

Given

Graphs A to E

Required

Which do not have solutions

When there are no point of intersection between lines and/or curves of a graph, then such graph has no solution.

Using the above description as a yard stick, the first (A) and the last (E) graph have no solution.

Answer:

Maybe Plants products...

Answer:

77.91 units²

or

77.91 square units

Step-by-step explanation:

the area of a circle is A=pi*r²

since we only need a certain fraction, we will multiply it with 62/360

62° is the given angle. 360° would be the full circle

A = pi * 12² * 62/360

note that the answer is in square units, bc in "r²" the units themselves get squared, even tough we don't know if its inch or kilometers, its definitely squared

Answer:

A

Step-by-step explanation:

The table represents a proportional function which has a rate of proportionality equal to 5

In fact

5:1 = 5

15 : 3 = 5

25 : 5 = 5

35 : 7 = 5

If we make 90 : 18, the result is 5, so this dates can be part of the table

9514 1404 393

Answer:

  your 3rd step should be x = -3

Step-by-step explanation:

When you combine the equations in step 2, you get ...

  5x = -15

Dividing by 5 gives the solution for x:

  x = -3

This is what your Step 3 should show. This is the value that is consistent with the remaining steps.

Answer:9514 1404 393

Step-by-step explanation:

Answer:

4th option is correct

Step-by-step explanation:

[tex]8 x - 4 = 6 - 3 x[/tex]

[tex]8x−4+3x=6[/tex]

[tex]11x−4=6[/tex]

[tex]11x=6+4[/tex]

[tex]11x=10[/tex]

Answer:

option 4 ,

x=10/11

is the answer of your question

explanation is attached below .

hope it is helpful to you

Answer:

1/36

Step-by-step explanation:

P(2 then 1) = 1/6 x 1/6 = 1/36

Answer:

C

[tex] \sqrt{48} = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{16 \times 3} \\ = 4 \sqrt{3} [/tex]

The prime factorization to write [tex]\sqrt{48}[/tex] in the simplest form as  

48 = V2 -2 -2 -2 - 3 = 4V3

Prime factorization of any number indicates to express that number as a product of prime numbers. A prime number exists as a number that has precisely two factors, 1 and the number itself.

We require to express 48 as the product of its prime factors as 48.

= 2 [tex]\times[/tex] 3 [tex]\times[/tex] 2 [tex]\times[/tex] 2 [tex]\times[/tex] 2.

Therefore, [tex]$\sqrt{48}=\sqrt{ (2 \times 2 \times 2 \times 2 \times 2)}[/tex]

[tex]$=4 \sqrt{3}$[/tex]

[tex]$4 \sqrt{3}$[/tex] exists in the lowest radical form.

Therefore, the correct answer is option C. 48 = V2 -2 -2 -2 - 3 = 4V3.

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Answer:

10*9*8*7*6*5*4*3 = 10!/2 = 1814400 Cheers

Step-by-step explanation:

hope it works.

Answer:

125 ov?/70*5

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

70+5f=125. [exterior angle is equal to sum of interior opposite angles]

5f=125-70

5f=55

f=11

Answer:

S>1

Step-by-step explanation:

5s + 2 > 7

Subtract 2 from both sides

5s>5

Divide 5 from both sides

S>1

Solution of the inequality is s>1.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to one another.

Adding the same amount to each side, taking the same amount away from each side, multiplying or dividing each side by the same positive integer, and other operations can be used to solve the inequality.

The inequality sign must be reversed if either side is multiplied or divided by a negative number.

5s+2 > 7

Subtracting 2 on both side,

5s > 5

s>1

Therefore, the solution set of inequality is s>1.

To learn more about the inequality in mathematics;

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Answer:

14 (B)

Step-by-step explanation:

Area = L * h

L = 7 in^2

h = 2

Area = 7 * 2

Area = 14 in^2

Answer:

14

Step-by-step explanation:

Did lesson

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiii bro

Answer:

answer in picture
c, b, d

Step-by-step explanation:

Answer:

10 cups

Step-by-step explanation:

we can set up a proportion of cups of water over cups of apple juice

2/3 = w/15

if you cross-multiply you will get:

3w = 30

w = 30/3

w = 10

Answer:

good question

Step-by-step explanation: