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The fourth option [tex](3^{5)^{2} }[/tex]/[tex](3)^{4}[/tex] does not have value less than 1.

Power of a number is defined as  how many times to use the number in a multiplication. We also call  Powers as Exponents or Indices. For example, [tex]8^{2}[/tex] could be called “8 to the power 2” or “8 to the second power”, or simply “8 squared”.

Step-by-step explanation:

In first option, [tex]4^{11}[/tex]/[tex]4^{14[/tex], if we solve this, the answer comes out to be 1/[tex]4^{3}[/tex] which will be 1/64 which is 0.015 that is lesser than 1.

In second option, [tex](5^{4)^{2} }[/tex]×[tex]5^{-11}[/tex],if we solve this, the answer comes out to be 1/[tex]5^{3}[/tex] which will be 1/125 which is 0.008 that is lesser than 1

In third option,[tex](2^{3)^{-2} }[/tex],if we solve this, the answer comes out to be 1/[tex]2^{6}[/tex] which will be 1/64 which is 0.015 that is lesser than 1

in Fourth option ,[tex](3^{5)^{2} }[/tex]/[tex]3^{4}[/tex] , if solve this, the answer comes out to be [tex]3^{6}[/tex] which  will be 729 that is larger than 1

∴fourth option will be the answer.

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Solution for the given Inequality

x > 6 : (6 , 11), (5 , 10)

y < 2x: (8, 12), (6, 11), (7,10), (5, 10), (8, 10), (9,12)

What is Inequality?

Inequality of wealth in major cities Economic inequality comes in many forms, most notably wealth inequality measured by the distribution of wealth and income inequality measured by the distribution of income.

Let us study each inequality and find the right solutions

∵ x > 6

∴ The x-coordinates of the points are 7,8,9

- That means answer A and D is out because its x-coordinate not greater

 than 6 ⇒ (6 , 11), (5 , 10),

∵ y < 2x

∴ The y-coordinates of the points are 10,11,12

- That means all are answers because y-coordinates is

not greater than 2x ⇒  (8, 12), (6, 11), (7,10), (5, 10), (8, 10), (9,12)

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In the given equation x and y show a direct variation of the form:

y = x

Where the value of k is 1.

A direct variation between two variables x and y is written as:

y = k*x

Where k is called the constant of proportionality.

Here we have the equation:

y - x = 0

moving x to the right side we get:

y = x

This is a direct variation with k = 1.

y = 1*x

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The function translation / transformation rules:

Function transformations specify how a function is moved on a graph and how its shape is altered. Translation, dilatation, and reflection are the three main categories of function transformations.

The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations is a typical kind of algebraic problem.

The function translation / transformation rules:

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Given the data shown in the table, you can identify that these two points are on the line:

By definition, the Slope-Intercept Form of the equation of a line is:

Where "m" is the slope of the line and "b" is the y-intercept.

You can find the slope of the line using this formula:

Where these two points are on the line:

To solve this expression we have to add 2 to both sides of the equation:

So, the correct option is: B: 5.5

Answer:

height = 12

Step-by-step explanation:

try and use the formula to plug it in and solve for x.

Using the formula °F = 1.8°C +32°, The temperature in Degrees Celsius of an oven that is 500°F is 260°C.

For everyday purposes, Fahrenheit is used in the United States, its territories, and related states (all of which are covered by the U.S. National Weather Service), as well as in Liberia, the Cayman Islands, and other places. For instance, temperatures for freezing, cooking, and other conditions are typically given in degrees Fahrenheit in the United States.

On the Celsius scale, one of the two temperature scales used in the International System of Units along with the Kelvin scale, the unit of temperature is the degree Celsius. The term "degree Celsius" can be used to describe either a specific temperature on the Celsius scale or a measurement of the difference between two temperatures.

Here,

°F=1.8°C+32°

500°F=1.8°C+32°

1.8°C=468°F

°C=468/1.8

°C=260°C

The temperature in Degrees Celsius of an oven that is 500°F is 260°C by using the formula °F = 1.8°C +32°.

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7+8x=0

first step -Subtract 7 from both sides.

7+8x-7=0-7

Step 2

8x=-7

Step 3

Divide both side by 8

Instead of dividing the right hand side of equation in step 2 by 8, the right hand side is multiplied by 8 in step 3.

So, the error is in step 3.

Answer:

x10

Step-by-step explanation:

How to solve your problem

5x+3=53

Subtract 3 from both sides

5x+3=53

5x+3-3=53-3

Simplify

Subtract the numbers

5x+3-3=53-3

5x=53-3

Subtract the numbers again

5x=53-3

5x50

Divide both sides by the same factor

5x=50

5x=50\

[tex]\frac{50x}{5}[/tex][tex]\frac{50}{5}[/tex]

Simplify

Cancel terms that are in both the numerator and denominator

[tex]\frac{5x}{5}[/tex]=[tex]\frac{50}{5}[/tex]

x=[tex]\frac{50}{5}[/tex]

Divide the numbers

x=[tex]\frac{50}{5}[/tex]

x=10

answer is 10

13

Step-by-step explanation:

i said 36 divide by 3 is 13

A number is squared when it is multiplied by itself.

Hence, the correct option is Option B

If angle ∠4 = 29 degrees, then

The m∠4 = 29 degrees

Part 1

The angles on a straight line add up to 180 degrees.

∠4 + ∠1 = 180

29 + ∠1 = 1180

∠1 = 180-29

= 151 degrees

Part 2

The angles on a straight line add up to 180 degrees.

∠1 + ∠2 = 180

151 + ∠2 = 180

∠2 = 180-151

= 29 degrees

Part 3

The angles on a straight line add up to 180 degrees.

∠2 + ∠3 = 180

29 +  ∠3 = 180

∠3 = 180-29

= 151 degrees

Hence, If  angle ∠4 = 29 degrees, then

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The variable h, as the subject of the given formula is h = 3 / (G.V + 1)

From the question, we are to make h the subject in the given formula

The given equation is

(3 - h) / V = G . h

Multiply both sides of the equation by V

V × (3 - h) / V = G . h × V

3 - h = G . h . V

Add h to both sides

3 - h + h = GhV + h

3 = GhV + h

Factorize h

3 = h(G.V + 1)

Now,

Divide both sides of the equation by (G.V + 1)

That is,

3 / (G.V + 1) = h

∴ h = 3 / (G.V + 1)

Hence, the value of h is 3 / (G.V + 1)

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The measures of angles ∠1, ∠3, and ∠4 is 146°, 146°, and 34°.

So, ∠2 = 34°:

Now calculate other angles as follows:

(1) ∠1:

We can easily tell that ∠1 and ∠2 together make a straight angle which makes 180°. Then,

(2) ∠3:

∠1 and ∠3 are a pair of vertically opposite angles and thus are equal.

(3) ∠4:

∠2 and ∠4 are a pair of vertically opposite angles and thus are equal.

Therefore, the measure of angles ∠1, ∠3, and ∠4 is 146°, 146°, and 34°.

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Real numbers are numbers that are continous on the number line. They include positive and negative numbers. They can be integers, natural numbers, rational or irrational numbers.

In this exercise the number 1.030030003 is a real number because it can be found on the real number line

It is also a rational number because it is a repeating decimal

step 1

Find out the unit price

Divide the total cost by the total ounces

so

2/16=$0.125 per ounce

step 2

Find the cost of 8 oz

Multiply the number of ounces by the unit price

so

0.125*8=$1

Find the cost of 12 oz

0.125*12=$1.5

Find the cost of 18 oz

0.125*18=$2.25

Find the cost of 28 oz

0.125*28=$3.5

The one half of the dimensions of the frame dog house is obtained.

For the given question, the dimensions of the frame dog house are given as;

Convert the following fraction in improper by the above method;

Now, customer has offered to pay extra if you will make one half the size called for in the plans.

Multiply each dimension with 1/2.

Thus, the one half of the dimensions of the frame dog house is obtained.

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Answer:

the answer of a question is option A

Explanations:

Note that any expression of the form:

is a quadratic polynomial.

The given equation in the question is:

Comparing the given equation with the general expression I wrote above:

a = 1, b = -5 and c = 6.

Since the given equation takes the form of the general expression, it is therefore quadratic.

When a study's findings are highly valid, it means that they accurately reflect the genuine features, traits, and variations in the physical or social reality. The measure of frequency of drinking and driving is: reliable but not valid.

This option contends that although the survey's measure was not valid, it was dependable. This happens when research is constructed in a consistent but ineffective manner. In this instance, a sample of young people from a small town was taken into account; however, despite its consistency and reliability, it does not accurately reflect the findings of data from police records.

How well a method measures what it is supposed to measure is known as its validity. When a study's findings exists highly valid, it indicates that they accurately reflect the genuine features, traits, and variations in the physical or social reality. High dependability exists one sign of a valid measurement.

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Answer:

102 / 105 = 0.971428571

Step-by-step explanation:

i used a calculator c:

Answer:

y = [tex]\frac{-5}{2}[/tex] x + 6

Step-by-step explanation:

We want the form

y = mx + b

5x + 2y =12   Subtract 5x from both side of the equation

2y = -5x + 12  Divide all the way by 2

y = [tex]\frac{-5}{2}[/tex] x + 6

Answer:

70

Step-by-step explanation:

Answer:

-14.1 kJ

Step-by-step explanation:

We need the specific heat of water, which is 4.184 J/g-K.  It means that 4.184 Joules of energy will raise 1 gram of water by 1 degree Kelvin.  It also means that removing 4.184 Joules of energy will lower the temperature of 1 gram of water by 1 degree Kelvin.

We want to lower the temperature by 15 degrees C (-15C).  That is also -15K.  We have 225 grams of water.

 This can be used in the equation q = mc(T2 - T1),

 where q is the heat, or energy, m is the mass, c is the specific heat, and (T2-T1) is the temperature change, in Kelvin.

 q = mc(T2 - T1)

  q = (225g)(4.184 J/g-K)(10K - 25K)

   q = (225g)(4.184 J/g-K)(-15K)

 q = -14121 J  or -14.1 kJ

It is negative because heat is leaving the system.

Answer:

x+3/5 + x-2/5

simply add variable

x+x +3/5-2/5

2x+3/5-2/5

taking L.C.M

5*2x+3-2/5

10x+1/5

Answer:

Either 55.56 or 47.222 hours, depending on how the qyuestion is interpreted.  The first answer assumes that Jessica's existing savgings of $75 is not available for emergencies.

Step-by-step explanation:

The question is difficult to answer.  It doesn't specify that the $75 counts agains the $500.  It simply asks how many hours of work does she need to earn $500.

Jessica is paid $9/hr, so her earnings (y, in $) are described by the formula:  x hours at :

  y = ($9/hr)*x

If we set y = $500:

  $500 = ($9/hr)*x

   x = $500/($9/hr)

x = 55.56 hours.

However, if we set y = $500 - $75, the Jessica only needs to work:

      $425 = ($9/hr)*x

      x = $425/($9/hr)

     x = 47.222 hours