create a question that requires all three exponent laws (multiplying and dividing powers with the same base,power of a power) are used to find the final answer. make the final answer

10 divided by 0 problem would NOT have a solution.

Given:

a. 10 divided by 2

b. 10 divided by 5

c. 10 divided by 0

d. 0 divided by 10

We know that ,

Integer divided by an integer is an integer

Therefore (a) and (b) will have a proper solution

We also know that ,

Zero divided by anything is Zero

Therefore (d) also have a unique answer that is zero

Now , We know that

Any numeric value divided by Zero tends to infinity .

Hence, 10 divided by 0 problem would NOT have a solution.

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Answer:

y = 2

Step-by-step explanation:

Step 1: Equation

1/2 ( 6 - y ) = y

Step 2: Distribute

3 - 1/2y = y

Step 3: Isolate the y

3 = 1.5y

Step 4: Divide

3/1.5 = y

Answer:

y = 2

Hope This Helps :)

Answer:

Step-by-step explanation:

1. The irrational means that any real number that cannot be expressed as the quotient of two integers. In this case, if the numbers cannot be a perfect square they are irrational!

2. Find the answer:

√36= 6*6

This means this is a rational number

√44. This cannot exactly be divided in whole so this is irrational!

√81=9*9. This is rational since it is a perfect square

√144. This is rational since it cant be divided into whole!12*12=144

3. Answer:

B is the answer or √44

Answer:

G = -1.75t + 14

Step-by-step explanation:

Find how many gallons she had originally:

Multiply 1.75 by 4 to find how much she used in 4 hours:

1.75(4)

= 7

Since she had 7 gallons left after 4 hours, she started off with 14 gallons.

Create an equation with the format y = mx + b

b (the y intercept) is 14 in this situation, since that is the starting value.

m (the slope) is -1.75, because the car uses 1.75 gallons each hour.

Put these into the equation:

y = -1.75x + 14

Use the variables G (number of gallons remaining) and t (hours)

G = -1.75t + 14 is the equation

The equation for G, in terms of t, represents the number of gallons of gas remaining in Victoria's gas tank after t hours of driving will be G = 14 - 1.75 t

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Given that the automobile uses 1.75 gallons of petrol for every hour of driving, there were 7 gallons of gas left in the tank after 4 hours of driving.

The gas before the trip is,

= 1.75 × 4 + 7

=7+7

=14

The number of gallons of gas remaining in Victoria's gas tank after t hours of driving is,

= G = 14 -1.75t

Thus, the equation for G, in terms of t, represents the number of gallons of gas remaining in Victoria's gas tank after t hours of driving will be G = 14 - 1.75 t

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Step-by-step explanation:

First get x on its own:

Subtract 3 from each side

y - 3 = 2x

Divide through by 2

y/2 - 3/2 = x

or x = y/2 - 3/2

Now simply switch labels: x↔y

y = x/2 - 3/2

Answer:

\(y=\frac{x}{2}+\frac{3}{2}\)

Step-by-step explanation:

To find inverse of an equation, replace the variables x with y and y with x:

x = 2y - 3

Now we get it in slope-intercept form:

x = 2y - 3

Add 3 to both sides.

x + 3 = 2y

Divide both sides by 2.

\(\frac{x}{2}+\frac{3}{2}=y\)

Swap left and right sides.

\(y=\frac{x}{2}+\frac{3}{2}\)

And this is the inverse of the equation y = 2x - 3.

I hope you find my answer helpful.

If the length of the rectangle be (3x+2) units and width (4x+10)units then the area of the rectangle be \($x=-\frac{2}{3}, x=-\frac{5}{2}$$\).

The region enclosed by an object's shape is referred to as the area. The area of the shape is the area that the figure or any other two-dimensional geometric shape occupies in a plane.

A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.

Let the length of the rectangle be (3x + 2) units and width of the rectangle be (4x + 10)units.

Area of rectangle = length × breadth

= (3x +2) × (4x +10)

simplifying the above equation, we get

= (3x) × (4x +10) + 2(4x +10)

= 12x² + 30x +8x +20

12x² + 38x + 20 = 0

simplifying the above equation, we get

By using quadratic equation, then

\($x_{1,2}=\frac{-38 \pm \sqrt{38^2-4 \cdot 12 \cdot 20}}{2 \cdot 12}$$\)

simplifying the above equation, we get

\($$\begin{gathered}x_{1,2}=\frac{-38 \pm 22}{2 \cdot 12}\end{gathered}$$\)

Separate the solutions, we get

\($$\begin{aligned}& x_1=\frac{-38+22}{2 \cdot 12}, x_2=\frac{-38-22}{2 \cdot 12} \\& x=\frac{-38+22}{2 \cdot 12}:-\frac{2}{3} \\& x=\frac{-38-22}{2 \cdot 12}:-\frac{5}{2}\end{aligned}$$\)

The solutions to the quadratic equation are:

\($x=-\frac{2}{3}, x=-\frac{5}{2}$$\)

The complete question is:

Find the area of rectangle with length (3x+2) units and width (4x+10)units.

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Answer:

This formula has no values, it is a false inequality. X can not be greater than 5, and less than 3.

Step-by-step explanation:

x < 3 or x > 5

This means, x is less than 3, but greater than 5.

Technically, you would write this as 5 < x < 3, however, this is a false inequality, and does not work.

2x² - 6x = -7 equation has  imaginary solutions

To determine if an equation has imaginary solutions, we can examine the discriminant of the quadratic equation

x² + 3x - 5 = 0

a = 1, b = 3, c = -5

Discriminant = (3)² - 4(1)(-5) = 9 + 20 = 29

The equation has two real solutions

x⁴ - 5x ^ 2 + 3 = 0

This equation is a quartic equation, not a quadratic equation. Quartic equations can have both real and imaginary solutions

2x² - 6x = -7

2x^2 - 6x + 7 = 0

a = 2, b = -6, c = 7

Discriminant = (-6)²- 4(2)(7) = 36 - 56 = -20

Since the discriminant (-20) is negative, the equation has two complex (imaginary) solutions.

-3x² = -5

Dividing both sides by -3, we get:

x²= 5

a = 1, b = 0, c = -5

Discriminant = 0² - 4(1)(-5) = 20

The equation has two real solutions.

Hence, 2x² - 6x = -7 equation has imaginary solutions

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Answer:

x = 8 pi/3 + 4 pi n          x = 10 pi /3 + 4 pi n where n is an integer

Step-by-step explanation:

2 sin ( x/2) + sqrt(3) = 0

Subtract sqrt(3) from each side

2 sin ( x/2) = - sqrt(3)

Divide by 2

sin (x/2) = - sqrt(3)  /2

Take the inverse sin of each side

sin ^1- sin (x/2) = sin ^-1 (  - sqrt(3)  /2)

x/2 = 4pi /3  + 2 pi n     x/2 = 5pi /3 + 2pi n  where n is an integer

Multiply each side by 2

x = 8 pi/3 + 4 pi n          x = 10 pi /3 + 4 pi n where n is an integer

Given:

Number of widgets produced per day = 5100 widgets

Number of widgets examined each day = 60 widgets per day

Let's find the value the manager should use since he plan to choose one out of every N widget produced.

To find the value of N, we have:

Therefore, the value the manager would use for N is 85

ANSWER:

85

Answer:

can i see a ss of the question?

Step-by-step explanation:

9514 1404 393

Answer:

  3.49

Step-by-step explanation:

The growth factor is one more than the growth rate:

  growth factor = 1 + growth rate

  = 1 + 249% = 1 +2.49

  growth factor = 3.49

The amount that she owes after she factors in interest will be $33,455.64.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Rita necessities to apply for a line of credit for another vehicle. Her advance is $25,000. The financing cost on the advance is 6% and is accumulated yearly. She intends to take care of the advance in 5 years.

Then the amount is given as,

A = $25,000 x (1 + 0.06)⁵

A = $25,000 x (1.06)⁵

A = $25,000 x 1.3382

A = $33,455.64

The amount that she owes after she factors in interest will be $33,455.64.

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Answer: 16 pounds of grain.

Step-by-step explanation: 36 divided by 9 is 4, which means we have to multiply bin C by how much bin J was multiplied by, which is 4, so 4x4 is 16.

(let me know if you would like me to explain more on this)

Answer:

Step-by-step explanation:

Expression => | -2 |

Equation => 6 - 1 = 2 + 3

Inequality => 8^m > 64

Answers:

Expression is \(|-2|\)

Equation is \(6-1 = 2+3\)

Inequality is \(8^m > 64\)

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

Explanation:

If it has an equal sign, then it's an equation.

If it has an inequality sign of one of the following \(< , \ > , \ \le, \ \ge\), then it's an inequality.

Otherwise, it's an expression.

The two main purposes of all businesses are earning revenue and maximizing profits, the correct option is B and E.

We are given that;

The four options

Now,

Earning revenue means generating income from selling goods or services to customers. Revenue is the lifeblood of a business, as it covers the costs of production, operation, and growth. Without revenue, a business cannot survive or fulfill its other purposes.

Maximizing profits means increasing the difference between revenue and costs. Profits are the reward for creating value for customers and stakeholders. Profits can be reinvested in the business to improve quality, efficiency, innovation, and competitiveness. Profits can also be distributed to shareholders, employees, or society as dividends, wages, or donations.

Therefore, by unitary method the answer will be earning revenue and maximizing profits.

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Answer: If you spend 7 hours a week studying for English, and 4.5 hours studying for math what is the ratio of time spent studying math to studying English?

Math: English

4.5: 7 Now you divide both sides by 4.5 to get 1 on one side

1: 1.555556

So the ratio of time spent studying math to english is 1 to 1.555556. Hope I helped

Answer:

113cm²

Step-by-step explanation:

Area = 4 π r²

= 4 * 3.142 * 3²

= 113.112 cm²

Answer: r= 5/2 or r= 2 1/2

Step-by-step explanation:

The value of the first and second integers are 54 and 55 respectively.

Let

First integer = x

Second integer = x + 1

Sum of the integers = 109

So,

First integer + Second integer = Sum of the integers

x + (x + 1) = 109

x + x + 1 = 109

2x + 1 = 109

Subtract 1 from both sides

2x = 109 - 1

2x = 108

divide both sides by 2

x = 108/2

x = 54

Ultimately,

First integer = x

= 54

Second integer = x + 1

= 54 + 1

= 55

Therefore, the solution in 4 steps are;

Step 1: x + (x + 1) = 109

Step 2: 2x + 1 = 109

Step 3: 2x = 108

Step 4: x = 54

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It'll take Trailblazers inc. 18 days to complete an order of 180 suits.

" Number" refers to the generality of a numerical volume used for counting, measuring, and representing values. In mathematics, figures can be classified into colorful types similar as natural figures, whole figures, integers, rational figures, fallacious figures, real figures, and complex figures. The parcels and operations of figures are abecedarian to numerous fields of study, including wisdom, engineering, economics, and finance. The symbol used to represent number is generally integers, similar as 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 in the decimal system.

Given by the question.

We can use a proportion to break this problem. If it takes TrailblazersInc. 9 days to sew 90 suits, we can set up the proportion

days/ 90 suits = x days 180 suits

where x is the number of days it'll take to sew 180 suits.

To break for x, we can cross-multiply and simplify.

days * 180 suits = 90 suits * x days

1620 = 90x

x = 18

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Answer:

I believe that the answer is b

Step-by-step explanation:

3 and 1/2

To find the value of x that saisfy this equation you have to use ''multiply and divide property of equality'' and ''add and substraction property of equality''

Then,

Answer:

321

Step-by-step explanation:

Conversion of 86 to base 5 will be done through base 10 to base 5 and it will be (321)₅.

To convert any number to base 10 we have to multiply its unit digit by 10⁰ and its tenth digit by 10¹.

After it, we need to add it. It will give us a number of the 10 bases.

Conversion of any 10 base number into base 5

To convert any number to base 5 we need to divide by 5 and write the remainder each time thus we need to write the quotient from down to up.

Converting 86 to base 10

⇒ 8ₓ10¹ +8ₓ\(10^0\)

⇒ 86₁₀

Converting 86₁₀ into 86₅

When the number 86 is converted in a base of 5 will be (321)₅

Since we need to go down to up to 321₅ will be the correct answer.

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