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Answer:

Step-by-step explanation:

function notation

1) -13

2) -4

3) 7

4) 23

5) 13

6) -4

7) 14

8) -1

9) 15

10) 0

function operations

1) -3x^2 + 11x -4

2) 6x - 12

3) 3x^2 - 2x + 5

4) x^2 - 4x + 5

5) 27x^2 - 32x

6) 2x^5 + 4x^4 - 5x^3 - 10x^2

7) -6x^4 + 8x^3 + 15x^2 - 20x

8) 3x^4 - 2x^3 - 16x^2

Answer:

adding them together, x+2x−6=180 . this can be solved algebraically. the smaller angle is 62∘ . the supplement to that, 2x−6 , is (124−6)∘ , which is 118∘ .

Answer:

9.5>6      41.8>0

Step-by-step explanation:

The quotient of the problem given are 49/12, -1/25, -20 and 13/10 respectively

These are the simple problems of fractions

A) 7/12 ÷ 1/7

   7/12×7/1

    49/12

B) -0.05 ÷(5/8 ÷ 1/2)

 - 5/100 ÷ ( 5/8 ×2/1)

  -5/100÷ (5/4)

  -5/100 ×4/5

   -1/25

C) 6 1/4 ÷(-5/16)

   25/4 × (-16/5)

  -20

D) -1 ÷(-10/13)

   -1 ×(-13/10)

    13/10

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The first step is to move -x to RHS and second step is to solve to get the value of x. The solutions will be x = -2 , 0 , 2.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , division , etc.

The equation given is [tex]4x^{1/3}[/tex]- x = 0

We need to solve it stepwise.

The first step will be to to move -x to RHS.

[tex]4x^{1/3}[/tex]- x = 0

or

[tex]4x^{1/3}[/tex] = x

The second step is to solve to get the values of x.

4x = x³

4x - x³ = 0

x (4 - x²) = 0

So , this will give us two equations which are ,

x = 0

and

4 - x² = 0

or

x² = 4

x = ± 2

So , solving the equation for x initially yields two equations which are x = 0 and 4 - x² = 0 and the solution we get is x = 0 , 2 , - 2.

Thus , the solutions will be x = -2, 0, 2.

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The first intersection of the geometric system generates two vertical angles of 70° and two vertical angles of 110° and the second intersection of the geometric system generates two vertical angles of 53° and two vertical angles of 127°.

In this question we have a geometric system generated by three lines, where two lines pass through the first lines and four angles are generated on each intersection. The measures of the missing angles can be found by the following concepts:

The first intersection of the geometric system generates two vertical angles of 70° and two vertical angles of 110° and the second intersection of the geometric system generates two vertical angles of 53° and two vertical angles of 127°.

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As the degrees of freedom (DF) increase, the t distribution approaches the normal distribution. Therefore, the correct answer option is: C. normal distribution.

The degrees of freedom (DF) in a sample are typically used to correct a possible bias that exists between the alternative and null hypotheses because they are the maximum number of logically independent numerical values (data points) in the final calculation of a statistical problem.

A normal distribution is sometimes referred to as the Gaussian distribution and it can be defined as a probability distribution that is continuous and symmetrical on both sides of the mean, which shows that all data near the mean have a higher frequency than data that are far from the mean.

In this context, we can reasonably infer and logically deduce that the t-distribution generally approaches the normal distribution as the degrees of freedom (DF) increase.

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Answer:

5.44

Step-by-step explanation:

Answer: 120

Step-by-step explanation:

V=  {(4+2)² x 10}/3 = 120

Answer: Total cost for the two services of hours = $6.

Step-by-step explanation:

Given data,

Nate is looking for a repair service for general household maintenance.

First service charges = $75

First service charge per hour = $30 per hour

Another service charges = $15

Another service charge per hour = $40 per hour

Total cost of hours of service is = x

So,

We can write,

                          75 + 30x = 15 + 40x

Rearrange variables to the left side of the equation,

                          30x - 40x = 15 - 75

Combine like terms,

                                  -10x = 15 - 75

Calculate the sum or difference,

                                    -10x = -60

Divide both sides of the equation by the coefficient variable,

                                      x = -60/-10

Determine the sign for multiplication or division,

                                      x = 60/10

Cross out the common factor,

                                       x = 6

Therefore,

Total cost for the two services of hours = $6.

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Answer:y=-3, x=6

Step-by-step explanation:

Answer:

x=6 y=-3

Step-by-step explanation:

Based on the definition of supplementary angles:

x = 5

The measure of angle 6 = 30°

If two angles are supplementary, when added together, their sum will equal 180 degrees.

We known that angles 5 and 6 are supplementary angles. Therefore, it means their sum would be equal to 180 degrees.

Hence, we would have the following equation:

m<5 + m<6 = 180

Substitute

40x - 50 + 5x + 5 = 180

Add like terms

45x - 45 = 180

45x = 180 + 45

45x = 225

45x/45 = 225/45

x = 5

The measure of angle 6 = 5x + 5 = 5(5) + 5

The measure of angle 6 = 30°

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The exponential form of given number 121200 is 1.212 × [tex]10^5[/tex]

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × [tex]10^8[/tex]

For given question,

We need to express 121,200 in exponential (powers of 10) notation.

To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

The number between 1 and 10 in 121200 is 1.212 with 5 decimal points.

So, the exponential notation of given number would be,

121,200 = 1.212 × [tex]10^5[/tex]

Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

So, the distance between he Earth and the Sun is:

150,000,000 = 1.5 × 10⁸

Therefore, the exponential form of given number 121200 is 1.212 × [tex]10^5[/tex]

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × [tex]10^8[/tex]

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The rate of change will be 0.074 grams per year.

The change in hydrocarbon will be:

= 3.4 - 0.8

= 2.6

The number of years will be:

= 2007 - 1972

= 35

Therefore, the rate will be:

= Change in hydrocarbon / Years

= 2.6 / 35

= 0.074 grams per year.

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Answer: The first one is correct.

Step-by-step explanation:

x = 3
y = -2
So: 2 x 3 + 2 x (-2) = 6 + (-12) = -6

Hence, at the stage [tex]1,073,741,824[/tex] it reached nearest to [tex]1,000,000,000[/tex].

What is the circle?

A circle is a round-shaped figure that has no corners or edges.

In geometry, a circle can be defined as a closed, two-dimensional curved shape.

So, the calculation is:-

Now, Multiplying by [tex]2[/tex]

[tex]2 * 2 = 4[/tex]

[tex]4 * 2 = 8[/tex]

[tex]8 * 2 = 16[/tex]

[tex]16 * 2 = 32[/tex]

[tex]32 * 2 = 64[/tex]

[tex]64 * 2 = 128[/tex]

[tex]128 * 2 = 256[/tex]

[tex]256 * 2 = 512[/tex]

[tex]512 * 2 = 1,024[/tex]

[tex]1,024 * 2 = 2,048[/tex]

[tex]2,048 * 2 = 4,096[/tex]

[tex]4,096 * 2 = 8,192[/tex]

[tex]8,192 * 2 = 16,384[/tex]

[tex]16,384 * 2 = 32,768[/tex]

[tex]32,768 * 2 = 65,536[/tex]

[tex]65,536 * 2 = 131,072[/tex]

[tex]131,072 * 2 = 262,144[/tex]

[tex]262,144 * 2 = 524,288[/tex]

[tex]524,288 * 2 = 1,048,576[/tex]

[tex]1,048,576 * 2 = 2,097,152[/tex]

[tex]2,097,152 * 2 = 4,194,304[/tex]

[tex]4,194,304 * 2 = 8,388,608[/tex]

[tex]8,388,608 * 2 = 16,777,216[/tex]

[tex]16,777,216 * 2 = 33,554,432[/tex]

[tex]33,554,432 * 2 = 67,108,864[/tex]

[tex]67,108,864*2 = 134,217,728[/tex]

[tex]134,217,728* 2 = 268,435,456[/tex]

[tex]268,435,456 * 2 = 536,870,912[/tex]

[tex]536,870,912* 2 = 1,073,741,824[/tex]

Hence, at the stage [tex]1,073,741,824[/tex] it reached nearest to [tex]1,000,000,000[/tex].

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Answer:

class:11-20

21-30

31-40

.

.

.

81-90

Step-by-step explanation:

There are 715 ways to select 9 players for the starting lineup.

Permutation is used whenever there is arrangement or where order is important . denoted by [tex]P(n,r)=\frac{n!}{(n-r)!}[/tex]

n= no of item  , r = no of items to be arranged.

Combination is used when there is selection . denoted by[tex]C(n,r)=\frac{n!}{r!(n-r)!}[/tex]

n=no of item  , r= no of item to be selected.

Part (a)

In the given question

we have to select 9 players out of 13 player , combination will be used

[tex]C(13,9)=\frac{13!}{9!*(13-9)!}=\frac{13*12*11*10*9!}{9!*4!} =\frac{13*12*11*10}{4*3*2}[/tex]=715 ways.

Part(b)

In this part we have to find how many ways are there to select 9 players for the starting lineup and a batting order for the 9 starters.

Since the batting order is important , permutation will be used.

[tex]P(13,9)=\frac{13!}{4!} =\frac{13*12*11*10*9*8*7*6*5*4!}{4!} =13*12*11*10*9*8*7*6*5[/tex]

=259459200 ways.

Part(c)

In this part we have to do selection of  3 left-handed outfielders and have all other 6 positions occupied by right-handed players.

Since order is not important Combination  will be used.

To select 3 left handers from total 6 left handers = C(6,3)

& to select 6 positions of left handers from remaining 7 right handers=C(7,6)

No of ways of selection = C(6,3)*C(7,6)

[tex]=\frac{6!}{3!*(6-3)!} *\frac{7!}{6!*(7-6)!} \\ \\= \frac{6!}{3!*3!} *\frac{7!}{6!*1!} \\ \\[/tex]

On solving further we get

[tex]= \frac{7!}{3!*3!} =\frac{7*6*5*4*3!}{3!*3*2*1} =7*5*4=140ways[/tex]

Therefore ,(a)There are 715 ways to select 9 players for the starting lineup.

(b) there are 259459200 ways to to select 9 players for the starting lineup and a batting order for the 9 starters and 140 ways .

(c)there are 140 ways to select 3 left-handed outfielders and have all other 6 positions occupied by right-handed players.

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Based on the calculations, the sample standard deviation is equal to 4.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

[tex]Z=\frac{\bar x\;-\;u}{\delta}[/tex]

Where:

In Statistics, the standard deviation of a data sample is the square root of the variance and as such, this given by:

Note: Variance, δ² = 16

Taking the square root of the variance, we have:

Standard deviation, δ = √16

Standard deviation, δ = 4.

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Complete Question:

A sample of n=225 scores has [tex]\bar x[/tex] = 103 and δ² = 16. What is the sample standard deviation?

The built-in data type that stores only whole numbers is int data type

Built-in data types are the data  types used to declare and store the variables in the program, They are also known as primary data types

Int data type is a data type that can store the whole number. The range of int data type is from -2147483648 to 2147483647.

Here,

Here the condition is a built-in data type stores only whole numbers

So, the int data types satisfy these conditions

Hence, the built-in data type that stores only whole numbers is int data type

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The table shows relationship between the number of targets a person

hits in a game of laser tag and that score of that person. The table shows is a continuous graph.

As the name implies, a continuous function is one whose graph is continuous throughout without any pauses or leaps. To put it another way, we say that a function is continuous if we can draw the curve (graph) of the function without ever picking up the pencil. In calculus, learning about a function's continuity is crucial since without it, a function cannot be differentiated.

If a function's graph is a continuous curve without any holes, gaps, or breaks, it is said to be continuous.

Now,

x-axis on the graph show "Target hit" and y-axis shows "Score"

Graph the points using a graphing calculator.

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The complete question is:

"The table shows the relationship between the number of targets a person

hits in a game of laser tag and that person's score.

Target hit  0   1    2     3     4     5    6

Score        0   8   16  24   32   40   48"

Answer:

answer is, 1.96, 32.76%6=1.96

Answer:

Step-by-step explanation:

$32.74 x 6% = $34.70

$1.96 for specifics, rounds to $2.00

Answer:

x/7 + 9 = 6

Step-by-step explanation:

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Answer:

b , d

Step-by-step explanation:

Answer:

I think it’s (4,1)

Answer: (Likely) y = -2x

Step-by-step explanation:

1. We know the line y = 2x + 4, it intersects 4 and it's rate of change is 2. We also know the point it is passing, (-4,-1).

2. With this info, It is best to confirm the slope is likely -2, since it is likely that lines when perpendicular are likely to be congruent.

3. So, how about the y intercept? Well, it's simple as well, we will substitute x for 0, and 2 times 0 equals 0, and y = 0, so the perpendicular line is y = -2x

According to the question, the study is based on the organic pesticide for a particular plant. The pesticide manufacturer is developing a new type of organic pesticide for the particular plants. To understand the application of a new organic pesticide, then perform one experiment where the members of plants have controlled the environment for the testing purpose. In this way, plants can be protected from pest attack. These types of experiments fall under matched pair experiments.

In the matched pair experiments, the samples are divided into two parts. The first part should be based on some controlled characteristics, whereas the other one should be based on randomly assigned characteristics.

What are matched pair experiments.?

Matched pair designs are experimental based designs. In this, one group is protected in a controlled environment whereas the other one is in a random environment.

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Answer:

9/16

Step-by-step explanation:

Step-by-step explanation:

In this exercise we have to use the knowledge of quadrilaterals to calculate the measures of each side of the square, in this way we can say that it will be valid:

Given in the exercise that each the value of:

WT=3

The diagonals  of a square are congruent, and bisect each other, that will help to find: