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An employee earns $17.55 per hour after receiving a 8% raise. What was the employee's hourly pay before raise? Round your answer to the nearest cent. The employee's pre-raise salary was $____.

Answer: It can not be simplified

Step-by-step explanation:

49 is divisible by 1 and 7

200 is not divisible by 7

Statement 1 is a false statement.

What are supplementary angle?

Supplementary angles are two angles whose measures add up to 180° . ex 150° and 30°

What are complementary angles?

When the sum of two angles is equal to 90° degrees, they are called complementary angles. For example, 30° and 60° are complementary angles.

What are vertical angles?

What are congruent angles?

Two or more angles that are identical to each other.

Thus we can conclude that all vertical angles are congruent but not all congruent angles are considered vertical angles

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The complete equation is 8 + 13 = 21, then 21 = 8 + 13

The commutative property of addition states that a change in the arrangement or order of a number being added does not affect the sum of the numbers.

Example;

5 + 4 is equivalent to 4 + 5

2 + 3 is equivalent to 3 + 2

Given the expression;

8 + 13 = 21

Using the commutative property of addition, it can also be expressed as;

21 = 8 + 13

In this case, there's no net change in the equation.

Thus, the complete equation is 8 + 13 = 21, then 21 = 8 + 13

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Answer: 3(m+3n)

Step-by-step explanation:

3m + 9n=

3*m + 3*3n=3(m+3n)

Compare the two numbers √63, 7.5

[tex]\sqrt{63} =7.93[/tex]

So, √63  > 7.5

What is a square root?

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The statement that is false about the relationship of L, M, and P that are collinear is: 3. LM + MP = 180.

When two or more points are on a straight line, they are classified as collinear points.

The point on a line segment that bisects the segment into two equal parts is referred to as the midpoint of the line segment.

We are given that:

LM = MP, since, points L, M. and P are collinear points, therefore, it implies that point M is the midpoint of segment LP.

It also means that M bisects segment LP since LM = MP, where M is the midpoint of segment LP.

Thus, the statement that is false about the relationship of L, M, and P that are collinear is: 3. LM + MP = 180.

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A function assigns the values. The value of x changes by 6.5, and the value of y changes by 13.

A function assigns the value of each element of one set to the other specific element of another set.

Given that x and y vary together such that y = 2x+8. Also, the of x varies from x = 3 to x = 9.5. Therefore, we can write,

x  change by = Maximum value of x - Minimum value of x

                     = 9.5 - 3

                     = 6.5

Further, the minimum and the maximum value of y will be when the value of x is minimum and maximum, this is because the function is linear. Therefore, we can write,

Minimum value of y, y = 2(3) - 8 = -2

Maximum value of y, y = 2(9.5) - 8 = 11

y change by = Maximum value of y - Minimum value of y

                    = 11 - (-2)

                    = 11 + 2

                    = 13

Hence, the value of x changes by 6.5, and the value of y changes by 13.

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Answer:

Length = x + 3 ft
Width = x - 3 ft

Area of new patio = x² - 9 sq ft

If original side length = 8, new area = 55 sq ft

Step-by-step explanation:

The original patio has side length of x

If one side is reduced by 3 we get (x - 3) as the new side

If the side is increased by 3' we get (x + 3) as the new side

Area of new Patio = (x - 3)(x+3) = x² - 9

Original patio is 8 x 8
New patio width = 8 - 3 = 5
New patio length = 8 + 3 = 11

Area = 5 x 11 =55 sq ft

Answer:

[tex] - 1 \geqslant x \geqslant 2[/tex]

The weight of the Humpback whale is 3.6571 x [tex]10^{7}[/tex] times greater than the weight of the tiny krill.

A factor is a number that divides the given number without any remainder.

We have,

Weight of a Humpback whale = 80,000 pounds

Weight of tiny krill = 2.1875 x [tex]10^{-3}[/tex] pounds

We need to find what value multiplied with 2.1875 x [tex]10^{-3}[/tex]  would give 80,000.

Let the value be M.

M x 2.1875 x [tex]10^{-3}[/tex]  = 80,000

M = 80,000 / 2.1875 x [tex]10^{-3}[/tex]

M = 80,000 x / 2.1875 x [tex]10^{-3}[/tex]

M = 3.6571 x [tex]10^{7}[/tex]

Thus the weight of the Humpback whale is 3.6571 x [tex]10^{7}[/tex] times greater than the weight of the tiny krill.

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By adding wages and incomes, we conclude that the worker has a total annual income of $ 11,600.

A year comprises a total of 52 weeks and the worker works 20 hours a week at a wage of $ 10 an hour and receive a total of $ 1,200 in income from a trust fund. The total annual income is the sum of wages of the entire year and the income from the trust fund:

x = (52 weeks) · (20 hours / week) · (10 USD / hour) + 1,200 USD

x = 11,600 USD

The worker has a total annual income of $ 11,600.

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(a) The table clearly shows distance gets smallers as time passes, so the first choice is correct.

Since we know the rate at which the escalator moves is constant, we know that the average rate of change of the escalator's distance from the first floor is the same across any time interval we choose. Take for instance the average rate of change from [tex]t=6[/tex] to [tex]t=9[/tex]. If [tex]d(t)[/tex] denotes distance at time [tex]t[/tex], then the average rate of change over these 3 seconds, and at every point in time for that matter, is

[tex]\dfrac{d(9) - d(6)}{9 - 6} \dfrac{\rm cm}{\rm s} = \dfrac{890 - 980}{9 - 6} \dfrac{\rm cm}{\rm s} = -30 \dfrac{\rm cm}{\rm s}[/tex]

In other words, the distance from the first floor is decreasing at a rate of 30 cm/s. (negative sign = decreasing)

(b) At the start, when [tex]t=0[/tex], suppose Alan's distance from the first floor was [tex]x[/tex]. For every second that passes, we know the distance from the first floor decreases by 30 cm. This would mean that after [tex]t[/tex] seconds have passed, the distance would have decreased by a total [tex]30t[/tex] cm.

This tells us that Alan's distance from the first floor at any time [tex]t\ge0[/tex] is

[tex]d(t) = x - 30t[/tex]

Using any of the values from the table, we can solve for [tex]x[/tex].

[tex]t=6 \implies d(6) = x - 30\cdot6 \implies 980 = x - 180 \implies x = 1160[/tex]

which places Alan 1160 cm = 11.6 m from the first floor at the start.

The restrictions on the variables x and y be

x = 0  ⇒  2/0  = ∞

y = 0  ⇒  2/0 = ∞

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure exists as pursues: Expression: (Math Operator, Number/Variable, Math Operator)

(7x/4y³) × (8y/21x³) = (2/3x² y³)

What are the restrictions on the variables?

Here, x = 0  ⇒  2/0  = ∞

Similarly, y = 0  ⇒  2/0 = ∞

So , x, y ≠ 0

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The given function f(x)=-2(3+x)²+2x² , is a linear function.

Where:

 A function is a mathematical expression or equation that allows us to visualize graphically the behavior of a function. A function is not real when it cuts the vertical axis at the same point of x.

   A function can be linear or quadratic, this is evidenced by the higher exponential degree, in our case we have the following function:

f(x) = -2(3+x)²+2x² we solve the function that seems to be quadratic because it has the highest degree the number "2" in the variable, however we will solve its reduction.

We solve the trinomial and substitute

(3+x)² = (9 + 6x + x²)

-2(9 + 6x + x²) + 2x²

-18 - 12x - 2x² + 2x² + 2x²

0x² - 12x - 18 is a linear function

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We can conclude that ΔWXZ ≅ ΔXZY under ASA condition.

So,

To Prove: ΔWXZ ≅ ΔXZY

So, ΔWXZ ≅ ΔXZY under ASA consition.

Therefore, ΔWXZ ≅ ΔXZY.

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that is the solution above

The equation for population growth in Georgia is P = 8,815,210 ( 1.013 )ⁿ ( red line on the graph) and the equation for population growth in North Carolina is P = 9,656,401 ( 1.0125)ⁿ ( blue line on the graph).

We are given that:

For Georgia:

Growth rate of population = 1.3 %

Population = 8,815,210

For North Carolina:

Growth rate of population = 1.25 %

Population = 9,656,401

a) The equation that models Georgia's population growth can be found out by using the concept of compound interest as the population will increase in a compounded way.

So, the equation will be:

P = 8,815,210 ( 1 + 1.3 % )ⁿ

P = 8,815,210 ( 1.013 )ⁿ

where P is the population after n years.

b) the equation that models North Carolina's population growth:

P = 9,656,401 ( 1.0125)ⁿ

where P is the population after n years

Therefore, we get that, the equation for population growth in Georgia is P = 8,815,210 ( 1.013 )ⁿ ( red line on the graph) and the equation for population growth in North Carolina is P = 9,656,401 ( 1.0125)ⁿ ( blue line on the graph)

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Answer:

-2548.03968

Step-by-step explanation:

(-1.5)^5*(3.2)^5

Answer:

Step-by-step explanation:

The value of x as an int variable is 0

An int(integer) variable is a variable containing only whole numbers.

Given the expression;

x = - 3 + 4 % 6/ 5

Let's make into proper fraction, we have

x = - 3 + {}4/ 100 × 6/ 5

Multiply through

x = -3 + 6/ 5/ 4/ 100

x = -3 + {6/ 5 ÷ 0. 4}

x = -3 + {3}

expand the bracket

x = -3 + 3

Add like terms

x = 0

Thus, the value of x as an int variable is 0

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Complete question;

Assume that x is an int variable. what value is assigned to x after the following assignment statement is executed? x = -3 + 4 % 6/ 5;

Since 0.004 is 4/1000, muiltiply the numerator and denominator by 1000.

That is: (0.86×1000)= 860

(0.004×1000) = 4

860/4= 215

Answer:

215

Step-by-step explanation:

0.86 ÷ 0.004 = 215

Answer:

[tex]\sqrt{17} }[/tex]

Step-by-step explanation:

To find the distance between these points in the Cartesian Plane, apply the distance formula (aka pythagorean theorem).

(x1-x2)^2+(y1-y2)^2= d^2 , where d is distance.

(-5-3)^2+(1-0)^2 -> (-8)^2+(1)^2 ->

16+1 -> 17

Find square root of d^2 to find d, which gives you the exact answer of [tex]\sqrt{17}[/tex].

After evaluation each expression for x = 0 then the equation 5 x+2

⇒ 5(0)+2

⇒ 0 + 2

⇒ 2

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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