Is the expression 33x33^7 equivalent to (33x33)^7​? Explain. srry for the question again

Answer: Therefore, it is proven that any number or expression raised to the power of zero is always equal to 1. In other words, if the exponent is zero then the result is 1.

Step-by-step explanation: have a good day!

The solution to the inequality is x ≥ -10 2/3. On the graph, the solution to the inequality is to the right of the line

From the question, we are to solve the given inequality

The given inequality is

3x + 27 ≥ -5

Solving the inequality

3x + 27 ≥ -5

Subtract 27 from both sides of the inequality

3x + 27 -27 ≥ -5 - 27

3x  ≥ -32

Divide both sides of the inequality by 3

3x/3 ≥ -32/3

x ≥ -10 2/3

The graph of the inequality is shown below

Hence, the solution to the inequality is x ≥ -10 2/3. On the graph, the solution to the inequality is to the right of the line

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The total cost of business is 1,87,500

We are given the ratio of shares of two men. So, let the share of first person be 2x and share of second person be 3x.

It is also stated that smaller share is 75000. Out of the two shares, 2x is the smaller one. So, relating the two statements -

2x = 75000

x = 75000 ÷ 2

Performing division

x = 37500

So, finding the larger share now -

Larger share = 3x

Larger share = 3×37500

Performing multiplication

Larger share = 112500

Total cost of business = Smaller share + Larger share

Total cost of business = 75000 + 112500

Total cost of business = 1,87,500

Hence, the total cost of business is 1,87,500.

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The probability that 3 randomly selected points from A, B, C, and D are collinear is; 3/4

Collinear points are the points that lie on the same straight line or in a single line. If two or more than two points lie on a line close to or far from each other, then they are said to be collinear.

Now, from the given image, there are 4 points but only three of them namely A, B and C are collinear. Thus, the 4 possible points picked could be; ABC, ABD, ACD, BCD

Thus, there are only three that can be collinear and so the probability is; 3/4

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The most appropriate choice of density will be given by

Total volume is 3.3 [tex]m^{3}[/tex]

What is density?

Ans : Density is mass per unit volume of a substance.

The density of Oats is [tex]410[/tex]  [tex]kg/m^{3}[/tex]

volume of 1025 kg of oats = [tex]\frac{1025}{410}[/tex] [tex]m^{3}[/tex]

                                            = 2.5 [tex]m^{3}[/tex]

Density of wheat is 770 [tex]kg/m^{3}[/tex]

volume of 616 kg of wheat =  [tex]\frac{616}{770}[/tex] [tex]m^{3}[/tex]

                                             = 0.8 [tex]m^{3}[/tex]

Total volume = (2.5 + 0.8) [tex]m^{3}[/tex]

                      = 3.3 [tex]m^{3}[/tex]

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Answer:

36

Step-by-step explanation:

[tex]3^{2}[/tex] = 9 (3x3)

[tex]3^{3}[/tex] = 27 (3x3x3)

9 + 27 = 36

The constant average rates of change of 1/6y + 3/8x = 24 is -9/4

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The linear equation is given as

1/6y + 3/8x = 24

Multiply through the equation 1/6y+3/8x=24 by 24 to eliminate the fraction

So, we have

24 * 1/6y + 24 * 3/8x = 24 * 24

Evaluate the product

So, we have

4y + 9x = 576

Rewrite the equation as

So, we have

4y = - 9x + 576

Divide through the equation by 4

So, we have

y = - 9/4x + 144

A linear equation is represented as

y = mx + c

Where

m = rate of change

So, we have

m = -9/4

Hence, the constant average rates of change of 1/6y + 3/8x = 24 is -9/4

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[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{3}~,~\stackrel{y_1}{8})\qquad C(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +3}{2}~~~ ,~~~ \cfrac{ y +8}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE B}}{(11~~,~~20)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x +3}{2}=11\implies x+3=22\implies \boxed{x=19} \\\\\\ \cfrac{ y +8}{2}=20\implies y+8=40\implies \boxed{y=32}[/tex]

1) The vertical angle will be

∠RPQ= ∠TPU

Vertical angles are angles opposite each other where two lines cross.

Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other. Real-life settings where vertical angles are used include; railroad crossing sign, letter “X'', open scissors pliers etc.

2) angle ∠QPR and angle ∠TPS are supplementary to ∠RPS

Supplementary angles are two angles whose measures add up to 180° . The two angles of a linear pair

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°. Similarly,

3) complementary angle will be

∠QPR and ∠RPS

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

4) The adjacent angle will be ∠TPS

The two angles are said to be adjacent angles when they share the common vertex and side. The endpoint of the rays, forming the sides of an angle, is called the vertex of an angle. Adjacent angles can be a complementary angle or supplementary angle when they share the common vertex and side.

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Answer: The sum is always a rational number.

Step-by-step explanation:

Step-by-step explanation:

Given, sum of two rational numbers is always a rational number

We have to determine if the given statement is true or false

Consider two rational numbers 2/3 and 4/5

Sum of two numbers = 2/3 + 4/5

= [2(5) + 4(3)]/3(5)

= (10 + 12)/15

= 22/15

22/15 is a rational number.

Consider two rational numbers 2/3 and 1/3

Here, the denominators are same

Sum of two numbers = 2/3 + 1/3

= (2 + 1)/3

= 3/3

= 1/1

1/1 is also a rational number

Therefore, the given statement is true.

So, this distribution is positively skewed.

 A positively skewed distribution, also known as a right-skewed distribution, is a type of distribution in statistics in which most values are centered around the left tail and the right tail is longer. The direction of outliers is revealed by skewness. A distribution curve's tail is longer on the right side when there is a positive skew. As a result, the distribution curve's outliers are more extreme to the right and closer to the mean to the left.

Given Data

6 10 02 4 6 8 10 12 14 16 18 20 22 24 26 28 30

Mean = [tex]\frac{6 + 10+2+4+6+8+10+12+14+16+18+20+22+24+26+28+30}{17}[/tex]

Mean = [tex]\frac{256}{17}[/tex]

Mean = 15.05

The distribution is said to be negatively skewed if the mean is lower than the mode. Positive skewness occurs when the mean exceeds the median in the distribution. The distribution is said to be negatively skewed if the mean is lower than the median.

So, this distribution is positively skewed.

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Answer:

36°C

Step-by-step explanation:

[tex]|-6(6)|=36[/tex]

Answer: 110%

Step-by-step explanation:

Answer:

78.75 or 78 3/4

Step-by-step explanation:

The slope intercept form of the equation become y = (-1/3)x - 1/3.

According to the statement

We have to find that the slope intercept equation.

So, For this purpose, we know that the

Slope-intercept form is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

From the given information:

y - 3x = 8

y = 3x + 8  

Slope = 3

And

Perpendicular lines have slopes that are negative reciprocals of each other. So, the new line will have a slope of = -1/3.

P(-4,1)

y - 1 = (-1/3)(x +4)

y - 1 = (-1/3)x - 4/3

y = (-1/3)x - 1/3.

So, The slope intercept form of the equation become y = (-1/3)x - 1/3.

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The exponential function to model the height of the ball is

                  h = 72*[tex](1/2)^{n}[/tex]

According to the question we have been given that

         at first bounce the height of the ball is = 36 inches

and    at the second bounce the ball is at the height = 18 inches

The exponential model is given as

                             h = a.[tex]b^{n}[/tex]      (1)

 where h = height of the ball

            n = number of bounces

Putting the different values of h and n in equation (1) and getting the value of a and b, we get

 when h = 36 and n=1

                     36 = a.[tex]b^{1}[/tex]

                     36 = a.b   (2)

 when h = 18 and n =2

                     18 = a.[tex]b^{2}[/tex]

                     18 = a.b.b

                     18 = 36.b

                     b = 1/2

substituting the value of b in equation (2) we get

                    a = 72

Hence putting the value of a and b in equation (1),  the exponential function to model the height of the ball is

                   h = 72*[tex](1/2)^{n}[/tex]

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Answer:

g(x) = | x + 2 | + 1

Step-by-step explanation:

the parent function f(x) = | x | has its vertex at the origin

the translated function has the form

g(x) = | x - h | + k

where (h, k ) are the coordinate of the vertex

the vertex of g(x) is at (- 2, 1 ) , then

g(x) = | x - (- 2) | + 1 , that is

g(x) = | x + 2 | + 1

Answer:

7x+2

Step-by-step explanation:

-9x+8+2x-6

8-6

-9x+2+2x

combine like terms

-9x+2+2x

-9+2

7x+2

Applying proportions, the decimal value is given by:

B. 32.064.

Santo got the wrong answer because he counted 6 and 4 as the tenths and hundredths digits, instead of hundredths and thousandths.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for digit values in a number.

For this problem, we just have to apply the digit values of the number to find the decimal value, adding the factors, hence:

Hence:

30 + 2 + 0.06 + 0.004 = 32.064.

The decimal value is given by:

B. 32.064.

Santo got the wrong answer because he counted 6 and 4 as the tenths and hundredths digits, instead of hundredths and thousandths.

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we get the graph of the quadratic function by plotting the points on the graph paper.

We are given the quadratic function as:

f (x) = x²

We need to graph the function and find the values of the function for some given points of x.

For x = - 2, we get that:

f (x) = x²

f (- 2) = (- 2)²

f (- 2) = 4

For x = - 1, we get that:

f (x) = x²

f (- 1) = (- 1)²

f (- 1) = 1

For x = 0, we get that:

f (x) = x²

f (0) = (0)²

f (0) = 0

For x = 1, we get that:

f (x) = x²

f (1) = (1)²

f (1) = 1

For x = 2, we get that:

f (x) = x²

f (2) = (2)²

f (2) = 4

Plotting these points on the graph, we obtain the graph of the quadratic function.

Therefore, we get the graph of the quadratic function by plotting the points on the graph paper.

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Using the change of base formula the evaluated value of [tex]log_{3} 33[/tex]  is 3.184

Change of base formula is used to change the base of logarithm. It is used to write a logarithm of a number with a given base as the ratio of two logarithms each with the same base that is different from the base of the original logarithm.

According to the change of base formula :

[tex]log_{a} b = \frac{log_{x} b}{log_{x} a}[/tex]      

where base x is base 10

According to the question, we have to find the value of [tex]log_{3} 33[/tex]

Thus applying change of base formula we get

  [tex]log_{3} 33 = \frac{log_{10} 33}{log_{10} 3}[/tex]

calculating the value of log from the calculator we get,

    [tex]log_{3} 33 = \frac{1.519}{0.477}\\log_{3} 33 = 3.184[/tex]  

Thus using the change of base formula the evaluated value of [tex]log_{3} 33[/tex] is 3.184

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Answer:-2/1

Step-by-step explanation:

rise is -2 and 1 is run

The length of hJ is 17.

Given, the line HJ has a length

HJ = ?

HI = 14

IJ = 3

Since line HJ = HI + IJ

                       = 14+3

                        =17

Therefore the length of HJ will be 17.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

the measurement or extent of something from end to end; the greater of two or the greatest of three dimensions of a body is called length.

In geometry, a line segment is bounded by two distinct points on a line. Or we can say a line segment is part of the line that connects two points. A line has no endpoints and extends infinitely in both the direction but a line segment has two fixed or definite endpoints.

Types of Line Segment

Parallel Line. Two lines in the same plane either meeting each other or not.

Intersecting Lines.

Concurrent Lines.

Collinear Points.

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Answer:

64

Step-by-step explanation:

10^3 is 1000

64000/1000=64

694 divided by 41 goes into 16 times with remainder 38.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Now, We can use long division in finding the remainder.

Place the divisor which is 41, outside the long division sign, and 694 under the long division sign as;

41 ) 694 ( 16

   - 41

  ---------

    284

 -  246

  ----------

      38

Hence, 694 divided by 41 goes into 16 times with remainder 38.

Since, 10 + 3 + 2 + 1 = 16

Therefore, 694 divided by 41 is 16 with remainder 38.

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The logarithm function ( log 64 ) is not a common logarithm function as it does not have a base 10 but ahs a base e.

In mathematics, the common logarithm is the logarithm with base 10.

It is also known as the decadic logarithm and as the decimal logarithm function.

Here, we have the logarithm function as:

( log 64 )

Now, we can see that:

It does not have a base.

So, we will take the base as e.

So, it will not be a common logarithm function as having base 10 is an important characteristic of a common logarithm function.

Therefore, we get that, the logarithm function ( log 64 ) is not a common logarithm function as it does not have a base 10.

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In the given diagram the value of x is  is 140° and 25° respectively

In the diagram a, when you have 2 parallel lines cut by a transversal, the corresponding angles are equal and the value of x is equal to the corresponding angle as they are vertical angles, vertical opposite angles are equal.

In the diagram b, angle x is equal to the angle that is supplementary to 155° (Sum of supplementary angles is equal to 180°)

180-155=25°

In the given diagram the value of x is 140° in the diagram a and 25° for the diagram b respectively

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Your question is incomplete as the diagram is missing but the above answer might help you out.

Answer:

what is the question?

Step-by-step explanation:

There is no picture or question

Answer: Question

Step-by-step explanation: