z^-2/3
--------
z^1/3

Answer:

D) 81°

Answer:

A) 99°

Step-by-step explanation:

\(m \angle \: 4 = 81 \degree...(given) \\ \because \: m \angle \: 8 = m \angle \: 4 \\ (corresponding \: \angle s) \\ \therefore m \angle \: 8 = 81 \degree \\ \\ \because \: m \angle \: 8 + m \angle \: 9= 180 \degree \\ (interior \: \angle s \: on \: the \: same \: side \\ of \: transversal) \\ \therefore \: 81 \degree+ m \angle \: 9= 180 \degree \\ \therefore \: m \angle \: 9= 180 \degree -81 \degree \\ \huge \red{\therefore \: m \angle \: 9= 99\degree} \\\)

Answer:

What is a linear function? A linear function is a function whose graph is a straight line. The rate of change of a linear function is constant. The function shown in the graph below, y = x + 2, is an example of a linear function.

Graph of linear function

Graph of linear function

A linear function has a constant rate of change. The rate of change is the slope of the linear function. In the linear function shown above, the rate of change is 1. For every increase of one in the independent variable, x, there is a corresponding increase of one in the dependent variable, y. This gives a slope of 1/1 = 1.

A linear function is typically given in the form y = mx + b, where m is equal to the slope, or constant rate of change.

Examples of linear functions include:

If a person drives at a constant speed, the relationship between the time spent driving (independent variable) and the distance traveled (dependent variable) will remain constant.

Assuming no change in price, the relationship between the number of pounds of bananas a person buys (independent variable) and the total cost of the bananas (dependent variable) will remain constant.

If a person earns an hourly wage at their job, the relationship between the time spent working (independent variable) and the amount earned (dependent variable) will remain constant.

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Exponential Functions

What is an exponential function? An exponential function is a function that involves exponents and whose graph is a smooth curve. The rate of change in an exponential function is not constant. The functions shown in the graph below, y = 0.5x and y = 2x, are examples of exponential functions.

Graphs of exponential functions

Graphs of exponential functions

An exponential function does not have a constant rate of change. The rate of change in an exponential function is the value of the independent variable, x. As the value of x increases or decreases, the rate of change increases or decreases as well. Rather than a constant change, as in the linear function, there is a percent change.

An exponential function is typically given in the form y = (1 + r)x, where r represents the percent change.

Examples of exponential functions include:

Step-by-step explanation:

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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By creating a General Court made up of delegates from each town in the colony, this document reflects the principle of: D. republicanism.

Federalism simply refers to a form of government in which the federal government and other institutional bodies such as states, towns, smaller units, and provinces share power and authority.

Republicanism can be defined as a form of government that is centered around citizenship in a state and emphasizes their participation for the common good of a geographical area such as states, towns, and other smaller units in a colony.

This ultimately implies that, republicanism involves citizens selecting their representatives (delegates) from each town in a colony, especially through an electoral process such as in Article 8, Fundamental Orders of Connecticut.

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Answer:

republicanism

Step-by-step explanation:

The expression is simplified to 1

Standard index form is also known as standard form.

A number is written in standard form when it is written as A × 10 n ,

Multiplicative law of indices is expressed as;

x² x³ = x^ 2+3 = x^5

From the expression given, we have:

\(\frac{(a^8 a^6)^1^/^7}{a^2}\)

Using the law, we get:

\(\frac{(a^8^+^6)^1^/^7}{a^2}\)

\(\frac{a^1^4^*^1^/^7}{a^2}\)

Multiply through

\(\frac{a^2}{a^2}\)

Find the ratio

= 1

Thus, the expression is simplified to 1

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Answer:

C: x-axis

Step-by-step explanation:

It is the x-axis.

The amount of fabric used to make the number cube is given as follows:

C. 294 cm².

The amount of fabric used to make the number cube is represented by the surface area of the number cube.

The surface area of a cube of side length a is given by the equation presented as follows:

S = 6a².

The side length for this problem is given as follows:

a = 7 cm.

Hence the surface area of the cube is calculated as follows:

S = 6 x 7²

S = 294 cm².

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The value of u is given by the equation u = 37°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the sum of total internal angles of a triangle be = 180°

Now , the triangle be ΔABC

The measure of ∠A = u + 4°

The measure of ∠B = u

The measure of ∠C = ( 180° - ( u + 41° ) ) ( angles on a straight line = 180° )

From the triangle theorem ,

u + 4° + u + ( 180° - ( u + 41° ) ) = 180°   be equation (1)

On simplifying the equation , we get

2u + 184° - u - 41° = 180°

u + 143° = 180°

Subtracting 143° on both sides of the equation , we get

u = 37°

Therefore , the value of u is 37°

Hence , the value of u in the triangle is 37°

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Answer:

The basic unit for measuring weight is a Newton but for an elephant a kilo Newton would be more appropriate.

Step-by-step explanation:

Answer:

8 cm

Step-by-step explanation:

V = 1/3 (Base Area) × h

216cm³ = 1/3(81cm²) × h

216cm³ = 27cm² × h

÷ 27cm   ÷ 27cm

8 cm = h

I hope this helps!

Answer:2/10, which can be reduced to 1/5.  

2. If a tank is 5/8 filled with solution, how much of the tank is empty?  

Ans: 3/8 of the tank is empty. Since the whole tank would equal 8/8, or 1, and 5/8 of it is filled, then that  

means 3/8 of it remains empty.  

3. 1/2 x 3/5 x2/3 =  

Ans: 6/30, which can be reduced to 1/5.

4. 5/9 ÷ 4/11 =  

Ans: 55/36. You cannot reduce this fraction any further.  

5. Convert 27/4 to a decimal.  

Ans: 6.75. This answer is arrived at by dividing 4 into 27.  

6. Convert 0.45 to a fraction.  

Ans: 45/100, which can be reduced to 9/20.  

7. 4.27 x 1.6 =  

Ans: 6.832  

8. 6.5 ÷ 0.8 =  

Ans: 8.125  

9. 12 + 4.52 + 245.621 =  

Step-by-step explanation:

75 chairs expected to be understaffed.

Given : number of common problems found during one such spot check. manufacturer makes 1500 beanbag chairs per day.

To Find : how many of those chairs would they expect to be understaffed?

Common Problems   Frequency

Open seam                  4

Cuts in upholstery       14

Understaffed                15

None                             267

Total                              300

Probability of understaffed  = Understaffed   / Total

= 15/300

= 1/20

manufacturer makes 1500 beanbag chairs per day,

Number of chairs expected to be understaffed = (1/20) x 1500 = 75

Hence 75 chairs expected to be understaffed.

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For x = -6,  we use the expression f(x) = |x|. Thus, f(-6) = |-6| = 6. For x = 2,  we use the expression f(x) = 3. Thus, f(2) = 3. So correct option is D.

A function is a mathematical rule that relates one input (or set of inputs) to one output (or set of outputs). In other words, a function takes an input value(s), processes it in some way, and produces an output value(s). A function can be represented by an equation, a graph, a table, or a verbal description.

The input of a function is called the independent variable or the argument, while the output is called the dependent variable. The values of the independent variable are typically restricted to a certain domain, which is the set of all possible input values that the function can take. The range of the function is the set of all possible output values.

For x = -6, we have -8 ≤ x < 1, so we use the expression f(x) = |x|. Thus, f(-6) = |-6| = 6.

For x = 2, we have x >= 1, so we use the expression f(x) = 3. Thus, f(2) = 3.

Therefore, the correct option is D.. f(-6)= 6; f(2) = 3.

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x = 5 will be the correct answer and Model is provided in attachment don't look at the beauty of my figure.

The solution of the equation 2x + 2 = 12 is x = 5. And the model and the graph are given.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

Equation 2x + 2 = 12

The model for the equation is given in the attached image.

And the graph is also given in the attached image.

To solve for x:

2x + 2 = 12

Simplifying,

2x = 12 -2

2x = 10

Divide by 2,

2x / 2 = 10 / 2

x = 5.

Therefore, the solution of the equation is x = 5

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Answer:1.5

Step-by-step explanation:

Y=1/2 of x

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

             {4,  6}

      C) -  The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

MAKE A PLAN:

List The OUTCOMES for EACH EVENT and their COMBINATIONS:

        a) -  EVENT  "A":  {2, 4, 6, 8}

               EVENT "B":   {3, 4, 5, 6}

               EVENT "A" or "B": {2, 3, 4, 5, 6, 8}

        b) - EVENT "A"  or "B":  {4, 6}

        c) -  The COMPLEMENT of the EVENT "A":  {1, 3, 5, 7}

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

            {4,  6}

      C) - The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

I hope this helps!

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

The inequality tha calculates the possible values of x is x < 2

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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Answer: C

3 n – 9 = 8

Step-by-step explanation: Hope this helps:)

Answer:

3 n - 9 = 8

Step-by-step explanation:

Answer:

25 guests is 2.5 times more than 10

Step-by-step explanation:

Multiply by 2.5

Chicken = 16 x 2.5 = 40

Lasagna = 7 x 2.5 = 17.5 , round to 18

Deli meat = 1.8 x 2.5 = 4.5, round to 5

Sliced cheese = 15 x 2.5 = 37.5, round to 38

Buns = 1 x 2.5 = 2.5, round to 3

Potato salad = 2 x 2.5 = 5

Answer: A. m=-4

Step-by-step explanation:

9514 1404 393

Answer:

  A.  2×10³

Step-by-step explanation:

The ratio of diameters is ...

  (189,869 mm)/(98 mm) ≈ 1927.3 ≈ 2000 = 2×10³

The diameter of the peach became about 2×10³ times as large.

Answer:

180 miles

Step-by-step explanation:

Step one:

capacity of tank= 18.5gallons

vehicle averages 666 miles per tank.

Hence, the vehicle can travel 666 miles on 18.5 gallons

Required

The distance covered on 5 gallons

Step two:

vehicle can travel 666 miles on 18.5 gallons

the vehicle will go x miles on 5 gallons

cross multiply we have

5*666= 18.5*x

3330=18.5x

divide both sides by 18.5

x= 3330/18.5

x=180 miles

Answer:

c

Step-by-step explanation:

it's a property of powers, when the base is the same (-5) , you need to

sum the powers when both terms are multiplyng

subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)

The completion of the following table under different depreciation methods is as follows:

Method                           Year 1                     Year 2

Straight line                   $18,000                 $18,000

Units of production      $54,000                 $13,500

Declining balance        $37,600                $22,560

MACRS (5-year class)   $18,800                $30,080

Cost of machine = $94,000

Residual value = $4,000

Depreciable value = $90,000 ($94,000 - $4,000)

Estimated useful life = 5 years

Depreciation expense:

Straight-line method = $18,000 ($90,000/5)

Estimated units of produciton = 100,000

Unit depreciation rate = $0.90

Actual production   Depreciation

Year 1 = 60,000      $54,000 ($0.90 x 60,000)

Year 2 = 15,000      $13,500 ($0.90 x 15,000)

Declining Balance:

Year 1 = $37,600 ($94,000 x 40%)

Year 2 = $22,560 ($94,000 - $37,600) x 40%

MACRS:

Year 1 = $18,800 ($94,000 x 20%)

Year 2 = $30,080 ($94,000 x 32%)

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Answer:

Quadrant IV

Step-by-step explanation:

15π/4 is the same angle as 15π/4 − 2π = 7π/4.  Which terminates in the fourth quadrant.

Answer:

A fancy way of saying "solutions" of the equation