Convert the following angle from degrees to radians. Express your answer in simplest
form.
90°

Therefore, it is clear that the government should do more to help the poor and middle class, as their incomes have been relatively stagnant for an extended period of time.

Both claims are true, depending on the time period being considered. If we look at the time period over the last few decades, then Claim 1 is accurate, as average household income has risen nearly 30% over the time period, adjusted for inflation.

However, if we look at the past three decades, then Claim 2 is more accurate, as average household income has only risen less than 10%, adjusted for inflation.

Therefore, it is clear that the government should do more to help the poor and middle class, as their incomes have been relatively stagnant for an extended period of time.

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To find the value of x, we can set the two angle measures equal to each other and solve for x.

Given:

mZA = (4x - 2)°

mZB = (6x - 20)°

Setting them equal to each other:

4x - 2 = 6x - 20

Now, we can solve for x:

4x - 6x = -20 + 2

-2x = -18

Dividing both sides by -2:

x = -18 / -2

x = 9

Therefore, the value of x is 9.

Answer:

The answer is 9.

Step-by-step explanation:

We need to use the fact that the sum of the angles in a triangle is 180 degrees. Let A, B, and C be the three angles in the triangle. Then we have:

mZA + mZB + mZC = 180°

Substituting the given values, we get:

(4x - 2)° + (6x - 20)° + mZC = 180°

Simplifying the left side, we get:

10x - 22 + mZC = 180°

Next, we use the fact that angles opposite congruent sides of a triangle are congruent. Since we know that segment AC and segment BC are congruent, we have:

mZA = mZB

Substituting the given values and simplifying, we get

4x - 2 = 6x - 20

Solving for x, we get:

x = 9

Therefore, the value of x is 9.

Answer:

Area of Parallelogram Using Diagonals ; Using Base and Height, A = b × h ; Using Trigonometry, A = ab sin (x) ; Using Diagonals, A = ½ × d1 × d2 .....

Using Diagonals: A = ½ × d1 × d2 sin (y)

Using Base and Height: A = b × h

Using Trigonometry: A = ab sin (x)

The volume of Dante's cube when it is finished will be 1/512 inches³.

It should be noted that the volume of a cube is simply calculated by multiplying its sides three times.

Based on the information given, it was stated that

Dante was stacking unit cubes with side lengths of 1/8 inch to make a larger cube.

Therefore, it should be noted that the volume will be:

= Side × Side × Side

= 1/8 × 1/8 × 1/8

= 1/512 inches³

Therefore, the volume of Dante's cube when it is finished will be 1/512 inches³.

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Answer:

Hello, Your answer would be 35 (Fraction 1 over 35)

Hope's this helped.

Step-by-step explanation:

A zero has the same meaning as the vertex.

The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.

The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.

Thus, a zero has the same meaning as the vertex.

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Answer:

A. Left 3 Up 4

Step-by-step explanation:

The Vertex in the first graph has moved to the left three times and then gone up four

Basically, you have to understand the logic of a function.

If I plug in a value into V that represents the value of a milling machine, if I simplify the equation, I will be able to find x, the corresponding time to the value of the milling machine.

Knowing this logic, we can plug in $450,000 and $480,000, and then we will have two x-values. Then we can just find the range of the x-values to find our answer! :)

Let's go.

V = 750,000 - 120x

Plugged in 450,000 for V so now we can simplify the equation and find out what is the corresponding x-value for this value at this certain time.

450,000 = 750,000 - 120x

-450,000  -450,000

0 = 750,000 - 120x

+120x on both sides to isolate x

120x = 300,000

x = 2500

So, our first x-value in the range is 6250 hours. Now, let's plug in the larger value to find out the other x-value in the range.

V = 750,000 - 120x

480,000 = 750,000 - 120x

-480,000  -480,000

0 =  270,000 - 120x

Add 120x on both sides to isolate x

120x = 270,000

x = 2250

So, we found 2250 and 2500. So, the range of hours it corresponds to is 2250-2500.

He spent $22.5 on the student discount card.

This question is solved using proportions.

The cost of each card is of $1.50.

Paul bought 15 passes, that is, 15 cards.

Considering that he bought 15 cards, each for $1.50, his spending was of:

He spent $22.5 on the student discount card.

5998 subscribers are needed to bring a total profit of $120,000.

The amount that a business makes in net profit is what remains after all operating costs, interest costs, and tax costs have been subtracted from the gross profit. Accordingly, we must first determine the gross profit in order to calculate the net profit. As a result, the equation for calculating net profit is net profit = gross profit - expenses.

120000 = 20(x) + .01( x - 3000)

Now solve for x

120000 = 20x +.01x - 30,

Add 30 both sides,

120030 = 20.01x

Divide by 20.01

x = 5998.50075

so they need  5998 subscribers.

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Answer:

where is the histogram?

Using simultaneous equation, the solution to the system of linear equations are 1223 $10 tickets, 1332 $20 tickets, and 763 $30 tickets were sold.

Let's solve the problem step by step.

Let:

x = number of $10 tickets sold

y = number of $20 tickets sold

z = number of $30 tickets sold

From the given information, we can form the following equations:

Equation 1: x + y + z = 3318 (Total number of tickets sold)

Equation 2: y = x + 109 (109 more $20 tickets than $10 tickets were sold)

Equation 3: 10x + 20y + 30z = 61760 (Total sales from ticket sales)

We can use these three equations to solve for the values of x, y, and z.

First, let's substitute Equation 2 into Equation 1:

x + (x + 109) + z = 3318

2x + 109 + z = 3318

2x + z = 3209 (Equation 4)

Now, let's substitute the value of y from Equation 2 into Equation 3:

10x + 20(x + 109) + 30z = 61760

10x + 20x + 2180 + 30z = 61760

30x + 30z = 59580

x + z = 1986 (Equation 5)

We now have a system of equations (Equations 4 and 5) with two variables (x and z). We can solve this system to find the values of x and z.

Multiplying Equation 4 by 30, and Equation 5 by 2, we get:

60x + 30z = 96270 (Equation 6)

2x + 2z = 3972 (Equation 7)

Now, subtract Equation 7 from Equation 6:

(60x + 30z) - (2x + 2z) = 96270 - 3972

58x + 28z = 92298

Simplifying, we have:

29x + 14z = 46149 (Equation 8)

Now, we can solve Equations 5 and 8 simultaneously:

x + z = 1986 (Equation 5)

29x + 14z = 46149 (Equation 8)

Multiplying Equation 5 by 14, and Equation 8 by 1, we get:

14x + 14z = 27804 (Equation 9)

29x + 14z = 46149 (Equation 8)

Now, subtract Equation 9 from Equation 8:

(29x + 14z) - (14x + 14z) = 46149 - 27804

15x = 18345

Divide both sides of the equation by 15:

x = 18345 / 15

x = 1223

Substituting the value of x into Equation 5, we can find z:

1223 + z = 1986

z = 1986 - 1223

z = 763

Now that we have the values of x and z, we can substitute them back into Equation 1 to find y:

1223 + y + 763 = 3318

y + 1986 = 3318

y = 3318 - 1986

y = 1332

Therefore, the solution to the problem is:

x = 1223 (number of $10 tickets sold)

y = 1332 (number of $20 tickets sold)

z = 763 (number of $30 tickets sold)

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Answer:

completa la oracion!!!

etaStep-by-step explanation:

Answer:

13) 28

14) 22

15) 24

16)13

Step-by-step explanation:

13) Because they all lie on the same line, AC would be AB+BC, or 16+12, or 28.

14) Same thing as 13, 13+9=22

15) Same thing as others but make an equation

-1+2x+11=3x+3

Simplifying the equation, we get x=7. Now, we plug in x=7 to 3x+3 to get AC.

3(7)+3=21+3=24

16) build the equation:

x+14+x+10=22

2x+24=22

2x=-2

x=-1

Now plug in x=-1 to x+14.

-1+14=13

Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

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Answer:

the value of x that makes the equation true is x = 3.5.

Step-by-step explanation:

To find the value of x that makes the equation 18x + 5 - 3 = 65 true, we need to simplify the equation and solve for x.

Starting with the equation:

18x + 5 - 3 = 65

First, combine like terms:

18x + 2 = 65

Next, isolate the term with x by subtracting 2 from both sides:

18x = 65 - 2

18x = 63

Finally, divide both sides of the equation by 18 to solve for x:

x = 63 / 18

x = 3.5

Therefore, the value of x that makes the equation true is x = 3.5.

The answer is:

Steps & work :

First, I focus only on the left side.

Combine like terms:

\(\sf{18x+5-3=65}\)

\(\sf{18x+2=65}\)

Subtract 2 from each side:

\(\sf{18x=63}\)

Now, divide each side by 18:

\(\sf{x=\dfrac{63}{18}\)

Clearly, this fraction is not in its simplest terms, and we can divide the top and bottom by 9:

\(\sf{x=\dfrac{7}{2}}\)

\(\therefore\:\:\:\:\:\:\stackrel{\bf{answer}}{\boxed{\boxed{\tt{x=\frac{7}{2}}}}}}\)

For the function y = 4x⁵, the value of d⁴y/dx⁴ = 320x.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. We can write -

y = f(x)

y' = dy/dx = (d/dx)[f(x)]

We have the following function -

y = 4x⁵

The given function is -

y = 4x⁵

dy/dx = 20x⁴                             {y = xⁿ, then y' = nxⁿ ⁻ ¹}

d²y/dx² = 80x³

d³y/dx³ = 160x²

d⁴y/dx⁴ = 320x

Therefore, for the function y = 4x⁵, the value of d⁴y/dx⁴ = 320x.

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Answer: 1256.63706

Step-by-step explanation: A=(π20)2

The approximate area of the circle segment bounded by arc DE and chord DE is approximately 17.72 square units.

To approximate the area of the circle segment bounded by arc DE and chord DE, you can use the following formula:

Area = (1/2) * r^2 * (θ - sinθ)

Where:

r is the radius of the circle (r = 20 in your case).

θ is the central angle in radians (47° converted to radians is approximately 0.8203 radians).

Let's calculate it:

θ = 47° * (π / 180) ≈ 0.8203 radians

Now, plug these values into the formula:

Area = (1/2) * (20^2) * (0.8203 - sin(0.8203))

Area ≈ (1/2) * 400 * (0.8203 - 0.7317)

Area ≈ (1/2) * 400 * 0.0886

Area ≈ 17.72 square units

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Answer:

$512

16g+17n= m

Step-by-step explanation:

Multiply 16 and 15 to represent the amount of money from working in the grocery store and 17 and 16 to represent the money from the nusery home. Add them to get 512.

Take into account that the distances between the boats and the height of the lighthouse form right triangles.

Then, you have for the tangent of angles x and y, the following expressions:

you can notice on the given information that tan(y) = 4/3, then, the fraction between th height of the light house and the distance from boat B is 4/3.

For the other fraction (height of lighthouse over the distance from boat A) consider that

Hence, the fraction between the heoght of the lighthouse and the distance from boat A is 8/15

Answer:

Step-by-step explanation:

The answer is B

Answer:

no she is not correct because it would have to be 450 in order to round to 500

Answer: No she is not correct

Step-by-step explanation:

She is saying that 448 rounds to 500 but 448 actually rounds to 400

so it would going to have to be 450 or higher to round to 500

Answer:

A: x<3 (x is smaller than three)

Answer:

the answer is A: x is less than 3 because the open dot means that 3 is not included in the solution.

To begin, you must plug all the values you have into a formula, and also putting them in the right form.

The formula for the volume of a cylinder is: πr²h

FINDING RADIUS: With this in mind, now we know that, our diameter must be converted to a radius. To do this, you divide your diameter by two. This gives you, 4 as your radius.

FINDING HEIGHT: In the question you sent, you can tell they've given you, your height, so all you need to do is plug it into the equation.

PLUGGING IT IN:

Your pi, stays the same when using a calculator, just press your pi symbol depending on the calculator you are using. Your radius is 4, therefore it wants you to square it, which is 4x4, which equals 16. Next, you want to multiply it by the height, so just multiply it with your height, 5.5

YOUR ANSWER:

276.46m

Answer:

59

Step-by-step explanation:

6 plus 4 equals 8 plus 9

Answer: To find A and B such that g(x) = f(x) is bijective, we need to ensure that g(x) satisfies the conditions for a bijective function, namely, that it is both injective and surjective.

To show that g(x) is injective, we need to show that for any distinct x1, x2 in A, g(x1) ≠ g(x2). We can do this by assuming that g(x1) = g(x2) and then showing that it leads to a contradiction.

So, let's assume that g(x1) = g(x2). Then, we have:

f(x1) = f(x2)

x1(x1-1) = x2(x2-1)

x1^2 - x1 = x2^2 - x2

x1^2 - x2^2 - x1 + x2 = 0

(x1 - x2)(x1 + x2 - 1) = 0

Since x1 and x2 are distinct, we must have x1 + x2 = 1.

But this is impossible, since x1 and x2 are both real numbers, and the sum of two real numbers cannot equal 1 unless one of them is complex. Therefore, our assumption that g(x1) = g(x2) must be false, and g(x) is injective.

To show that g(x) is surjective, we need to show that for any y in B, there exists at least one x in A such that g(x) = y. In other words, we need to find an expression for x in terms of y.

So, let's solve the equation f(x) = y for x:

x(x-1) = y

x^2 - x - y = 0

Using the quadratic formula, we get:

x = (1 ± √(1 + 4y))/2

Since we want to define g(x) on R, we need to ensure that the expression under the square root is non-negative. This means that 1 + 4y ≥ 0, or y ≥ -1/4.

Therefore, we can define A = [-1/4, ∞) and B = [0, ∞), and g(x) = f(x) is a bijective function from A to B.

Work Shown:

21/35 = (7*3)/(7*5) = 3/5

Answer:

No

Step-by-step explanation:

Reduce the ratios to their lowest terms:

We can divide both fractions by 2.

\((4:18) / 2 = 2:9\\(2:12)/2=1:6\)

2:9 and 1:6 are not equivalent, thus 4:18 and 2:12 is also not equivalent.

Answer:

No

Step-by-step explanation:

4/18 can be written as 2/9.

Change that to a decimal

2/9 = 0.222222 repeating

2:12 = 1/6

1/6 = 0.1167

They are not the same.