Find all solutions in the interval [0, 2π).

2 sin^2 x = sin x

Answer:

F(C)<250

Step-by-step explanation:

To solve the problem we need to remember that a function is a relationship between an input usually called "x" (domain) and an output, usually called "y" and it's also the range of the function.

F(X)=y

We are given a relationship (a function) between the ferryboat trips "c" and the number of cars transported per day.

f(C)=C/20

Hence, the range of the function knowing that there are not more than 5000 cars transported by the ferryboat (daily) the range is all the numbers that are less or equal to 250.

F(C)<250

:)!

Step-by-step explanation:

[tex] \sf{\dfrac{5( \fbox{41} - 32)}{9} = C}[/tex]

[tex] \sf{\dfrac{5( \fbox{9})}{9} = C}[/tex]

[tex] \sf{ \dfrac{45}{9} = C}[/tex]

[tex] \sf{C = 5 }[/tex]

So,

41° F = [5]°C

Answer:

-92.

Step-by-step explanation:

2 - 6 is -4.

-4 x 23 is -92.

Answer:

so looks its an easy one

110 - 39 = 71

71 x 5.75 = 408.25

39 x 3.25 = 126.75

408.25 +126.75 = 535

71 burritos and 39 tacos = 535 dollars

69 burritos

What is mathematical expression?

A mathematical expression is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Tacos sold = 39

Burritos sold = x

Let x be the number Burritos sold

each taco sold for $3.25

each burrito sold for $5.75.

Total sell = $520

Now according to the given question,

39*3.25 + x*5.75 = 520

126.75 + 5.75x = 520

5.75x = 393.25

x = 68.39

x ≈ 69

Therefore, Justin has to sell 69 burritos to meet the requirements.

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Answer: 20

Step-by-step explanation:

Answer:

20 gal of gas

Step-by-step explanation:

200÷10=

20

Answer:

1/6 as a decimal is 1.66 or 1.6 repeating.

Answer:

Distribution is used from steps 1-2

They eliminate 2x by subtracting it on both sides (steps 3-4)

They eliminated 6 by subtracting it from both sides (steps 5-6)

(steps 3-6 is eliminating like-terms)

Thus this leaves the answer being x=-3

Step-by-step explanation:

Equation 3(x+2) = 2x+3 solved using distributive property and simplification, final solution is x = -3.

Let's identify the reason for each step in the solution to the equation 3(x+2) = 2x+3:

Distributive Property

The first step applies the Distributive Property,

which states that multiplying a number outside the parentheses by the terms inside the parentheses.

Here, we multiply 3 by (x+2),

3(x+2)

= 3 × x + 3 ×2

= 3x + 6

Combining Like Terms

In the second step, combine like terms on both sides of the equation.

On the left side, we have 3x, and on the right side, we have 2x.

We also have constants 6 on the left side and 3 on the right side.

3x + 6 = 2x + 3

Move Variables to One Side

To solve for 'x', we want all the terms with 'x' on one side of the equation.

Here,  move the term with 2x to the left side by subtracting 2x from both sides of the equation:

3x + 6 - 2x = 2x + 3 - 2x

Simplify

On the left side, the term 2x cancels out with the 2x on the right side, leaving us with:

x + 6 = 3

Move Constants to the Other Side

To isolate 'x', we need to get rid of the constant term on the left side.

Subtracting 6 from both sides of the equation:

x + 6 - 6 = 3 - 6

Simplify

On the left side, the +6 and -6 cancel out, leaving us with:

x = -3

Final Solution

After simplifying, find that the value of 'x' that satisfies the original equation is x = -3.

This means that if we replace 'x' with -3 in the equation, it will hold true:

3(-3 + 2) = 2(-3) + 3

-3 = -6 + 3

-3 = -3

And that's why the solution to the equation is x = -3.

Therefore, the reason required for solving the equation are distributive property and simplification which gives solution is x = -3

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Answer:

It willtake 45 minutes

Step-by-step explanation:

divide 18 by 12= 1.5, so multiply 1.5 by 30

Answer:

y=ax+9−2a (i think )

Step-by-step explanation:

A straight line is represented by a linear function

The equation of line a is: [tex]\mathbf{y = 2x +5}[/tex]

The points are given as:

(x1,y1) = (-2,1)

(x2,y2) = (2,9)

Calculate the slope (m)

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{9-1}{2--2}}[/tex]

[tex]\mathbf{m = \frac{8}{4}}[/tex]

[tex]\mathbf{m = 2}[/tex]

The equation in slope intercept form is:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

So, we have:

[tex]\mathbf{y = 2(x +2) + 1}[/tex]

[tex]\mathbf{y = 2x +4 + 1}[/tex]

[tex]\mathbf{y = 2x +5}[/tex]

Hence, the equation of line a is: [tex]\mathbf{y = 2x +5}[/tex]

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Answer: 5[tex]y[/tex] − 1 + [tex]y^{2}[/tex]

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below. Thank you!

Step 1: Collect like terms.

(3[tex]y[/tex] + 2[tex]y[/tex]) + (6 − 3 − 4) + (-6[tex]y^{2}[/tex] + 7[tex]y^{2}[/tex])

Step 2: Simplify.

5[tex]y[/tex] − 1 + [tex]y^{2}[/tex]

~I hope I helped you! :) Good luck!~

Answer:

Step-by-step explanation:

Here you go mate

step 1

3y +6+ 2y - 3 - 6y^2+ 7y^2-4  equation

step 2

3y +6+ 2y - 3 - 6y^2+ 7y^2-4  simplify

3y+6+2y+(-3)+(-6y^2+)7y^2+(-4)

step 3

3y+6+2y+(-3)+-6y^2+7y^2+(-4)  combine the terms that are alike

step 4

(-6y^2+7y^2)+(3y+2y)+(6+(-3)+(−4))

answer

y^2+5y+−1

Answer:

I think that the answer is 24.35 degrees C

Step-by-step explanation:

It says it changed -8.25 so you need to subtract 8.25 from 32.6 to get your answer.

Answer:

[tex]its \: 11.75[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

1. The domain is the horizontal extent of the graph. The domain of the solution space extends to x=8 on the right, with x=8 not included. The appropriate description is ...

  (-∞, 8)

__

2. A suitable matrix calculator gives the solution as ...

  (2, 5, -2)

__

3. A suitable matrix calculator gives no solution. (The reduced form of the last equation is 0=1. No variable values will make this true.)

Answer:

she is expected to pay $288 in taxes

Step-by-step explanation:

She is expected to pay 12% of $2400, that is: 0.12 * 2400 = 288

So she is expected to pay $288 in taxes for such income.

Answer:

your answer would be 0.052

Answer:

x=16

Step-by-step explanation:

50+40=90

40-8=32

32/2=16

x=16

Answer:

x=16

Step-by-step explanation:

since it is a right triangle it is 90 degrees so 90-50-40

than do 40=8+2x and solve for x which is 16 :)

Answer:

18.75 cups of flour

Step-by-step explanation:

The answer is 18.75 cups of flour as you have to multiply 5 by 3 3/4. The result will be 18.75. Hope it helps!

You need 18 3/4 cups of flour, to make 5 batches of the recipe.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

If one batch of the recipe calls for 3 3/4 cups of flour, then 5 batches of the recipe will require:

5 × 3 3/4 cups

To multiply a whole number by a mixed number, we first convert the mixed number to an improper fraction:

3 3/4 = (4 × 3 + 3) / 4 = 15/4

Now we can multiply:

5 × 15/4 = (5 × 15) / 4 = 75/4

To convert this fraction to a mixed number, we divide the numerator by the denominator and write the remainder as a fraction:

75 ÷ 4 = 18 remainder 3

So, 75/4 is equal to 18 3/4.

Therefore, 5 batches of the recipe will require:

18 3/4 cups of flour.

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Answer:

3x+2+x+4=4x+6

Step-by-step explanation:

add all the number with x and also add all the numbers without x and u will get ur answer

so the ans is 4x+6

Since -72 is the sum of two integers, your answer will be approximately -36 and -36 (or ).

Answer:670000

Step-by-step explanation:

Rounding 673738 to the nearest ten thousand is 670000

The place value of the number 673738 from the right is given below:

8 stands for unit

3 represents tens

7 represents hundreds

3 represents tens thousands

7 represents ten thousands

6 represents hundred thousands

Since the number beside the 7 is 3 and it isn't up to 5, then the number to the nearest ten thousand will be 670000.

In conclusion, rounding 673738 to the nearest ten thousand is 670000.

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Answer:

7/12

Step-by-step explanation:

m=rise/run

The required slope of the roof is given as 7/12, as per the given conditions.

Given that,
A roof is to set one end of a 12-inch level on the roof surface and hold it level. Then take a tape measure or ruler and measure from the other end of the level down to the roof surface.

The slope is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.

here,
Vertical reading of rising measure by a 12-inch level = 7
horizontal reading(run measure) = 12

The slope of the roof is given as,
m = rise/ run
m = 7 / 12

Thus, the required slope of the roof is given as 7/12, as per the given conditions.

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Answer:

midpoint of J and K = (3/2,-5/2) or (1.5,-2.5)

Step-by-step explanation:

midpoint formula: (((x+x1)/2),((y+y1)/2)))

in this case J(x1,y1), and K(x,y) where J = (6,-1), and K = (-3,-4).

so: (((-3+6)/2),((-4+-1)/2))) = (((3)/2),((-5)/2))) = (1.5,-2.5) or (3/2,-5/2)

Answer:

2.25 cars are waxed with one bottle

Step-by-step explanation:

1/3 * 3 = 1

3/4 * 3 = 9/4

9/4 = 2.25

Answer:

$154

Step-by-step explanation:

Find the rate per hour as;

if  11 hours =$242

     1 hour =?

Perform cross product as:

{$242 *1} / 11 = $22

For 7 hours the amount made will be:

7* $22 = $154

Answer:

Yes, y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship and the constant of proportionality is [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

The Proportional is a relationship between two quantity one of them equals the product of the other and a constant, where this constant called the constant of proportionality

Let us solve the question

∵ y = [tex]\frac{1}{5}[/tex] x

→ It the same as the form of the proportional equation above

∵  [tex]\frac{1}{5}[/tex]  is a constant

∴ y is the product of x and constant

∴ y =  [tex]\frac{1}{5}[/tex] x represents a proportional relationship

Substitute x by 0 to find y and show it represented by a line passing through the origin

∵ x = 0

∴ y = [tex]\frac{1}{5}[/tex] (0) = 0

→ That means point (0, 0) lies on the line which represents the equation

∴ The line which represents this relation is passing through the origin

∴ y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship

∵ y = kx, k is the constant of proportionality

∵ y = [tex]\frac{1}{5}[/tex] x

∴ k =  [tex]\frac{1}{5}[/tex]

∴ The constant of proportionality is [tex]\frac{1}{5}[/tex]

Answer:

1.66666666667

Step-by-step explanation:

Answer:

The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.

Step-by-step explanation:

In this case we need to test the claim that more than half of the population believes that passwords should be replaced with biometric security.

Assume that the significance level of the test is, α = 0.05.

The hypothesis can be defined as follows:  

H₀: The proportion of the population believes that passwords should be replaced with biometric security is 50%, i.e. p = 0.50.  

Hₐ: The proportion of the population believes that passwords should be replaced with biometric security is more than 50%, i.e. p > 0.50.  

The information provided is:

[tex]n = 510\\\hat p=0.53[/tex]

Compute the test statistic value as follows:

 [tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

    [tex]=\frac{0.53-0.50}{\sqrt{\frac{0.50(1-0.50)}{510}}}\\\\=1.354991\\\\\approx 1.35[/tex]

The test statistic value is 1.35.

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

 [tex]p-value=P(Z>1.35)[/tex]

                 [tex]=1-P(Z<1.35)\\=1-0.91149\\=0.08851\\\approx0.088[/tex]

p-value = 0.088 > α = 0.05.

The null hypothesis will not be rejected at 5% significance level.

Thus, there is not enough evidence to support the claim.

Conclusion:

The proportion of the population believes that passwords should be replaced with biometric security is not more than 50%.

Answer:

3.5

Step-by-step explanation:

add 4

6x=21

divide by 6

x=3.5