explain how to graph the equation on a coordinate plane: y = 3x - 5
lations below are also functions?

Answer:

C

Step-by-step explanation:

The solution of this expression is n = 81.

In this problem we have an expression, where n is the variable to be found by using algebra properties, especially power properties. Then, we show the complete procedure below:

(3 · n · 3²)⁴ = 3²⁸                                      Given

(3 · n)⁴ · (3²)⁴ = 3²⁸                                  Power of a product

3⁴ · n⁴ · 3⁸ = 3²⁸                                      Power of a product / Power of a power

3¹² · n⁴ = 3²⁸                                           Multiplication of powers with same base

n⁴ = 3²⁸ / 3¹²                                           Compatibility with multiplication / Existence of multiplicative inverse / Definition of division / Associative and modulative properties

n⁴ = 3¹⁶                                                   Division of powers with same base

n = 3⁴                                                     Definition of quartic roots

n = 81                                                     Definition of power / Result

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The frequency distribution for the given data is:

Treating the frequency distribution as a discrete distribution, we have that:

The pie chart is missing, but is given at the end of the answer.

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

A frequency distribution is composed by the relative frequencies of each outcome. From the pie chart, we have that there is a total of 3 + 13 + 22 + 17 + 14 + 13 + 4 = 86 people, hence the frequency distribution is given as follows:

This is relevant because we want to treat the frequency distribution as a discrete distribution, taking the midpoint of each interval, hence:

Hence the mean is:

E(X) = 0.0349 x 2 + 0.1512 x 7 + 0.2558 x 12 + 0.1977 x 17 + 0.1628 x 22 + 0.1512 x 27 + 0.0465 x 32 = 16.71.

The mean is of 16.71.

The standard deviation is found as follows:

S(X) = sqrt[0.0349 x (2 - 16.71)² + 0.1512 x (7 - 16.71)² + 0.2558 x (12 - 16.71)² + 0.1977 x (17 - 16.71)² + 0.1628 x (22 - 16.71)² + 0.1512 x (27 - 16.71)² + 0.0465 x (32 - 16.71)²] = 10.95.

The standard deviation is of 10.95.

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There are about 460 pages left for Quinn to read

The given parameters are

Pages = 788

Pages read = 329

The number of pages does Quinn have left to read is

Pages left = Pages - Pages read

So, we have

Pages left = 788 - 329

Evaluate

Pages left = 459

Hence, there are about 460 pages left for Quinn to read

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Answer: 5 lbs

Step-by-step explanation: 1 2/3 x 3= 5

Answer:

5 pounds

Step-by-step explanation:

1 2/3 x 3 = 5 :)

The distance between the Sturgis and Hot springs is 102 miles.

We have a mileage chart,

We have to estimate the distance between Sturgis and Hot Springs.

A chart showing distances between various points in miles is called mileage chart.

According to the question -

The horizontal row with the name Sturgis intersects the vertical column with the name Hot springs at the block representing 102 miles.

Therefore, the distance between the Sturgis and Hot springs is 102 miles.

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If the side-lengths of a triangle are increased by a scale factor of 4 then the area will be 16 times greater.

As given in the question,

Let 'a' be the base of the triangle

and 'h' be the height of the triangle

Area of the triangle = (1/2)×a× h

Side length increased by scale factor 4

New base = 4a

New height=4h

New area=(1/2)×4a×4h

              = 16×(1/2)×a ×h

              = 16 times the original area

Therefore, if the side-lengths of a triangle are increased by a scale factor of 4 then the area will be 16 times greater.

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If an Apple Computer store sells computers for $1,234.88 and the computers cost $10,896 per dozen, then the dollar markup for each computer is $326.88 and the percentage markup is 36%

Given,

An Apple Computer store sells computers = $1234.88

The cost of computers per dozen = $10896

Cost of one computer = [tex]\frac{10896}{12}[/tex] = $908

Then the dollar markup for each computer = 1234.88-908

=$326.88

Percentage markup = [tex]\frac{326.88}{908}[/tex]×100

=36%

Hence, If an Apple Computer store sells computers for $1,234.88 and the computers cost $10,896 per dozen, then the dollar markup for each computer is $326.88 and the percentage markup is 36%

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Answer:

b

Step-by-step explanation:

cuz remember () and no parentheses has a different meaning

Answer:

126.6667%

Step-by-step explanation:

Answer:

x - 6 = 1/3x + 4

x = 15

Hope this helps :)

Hope this helps :)Explanation and Check part below.

Step-by-step explanation:

1. Get the variable on one side by subtracting x.

x - 6 = 1/3x + 4

- 1 x - 1 x

- 6 = - 2/3x + 4

2. Subtract 4 which is the inverse operation of addition.

- 6 = - 2/3x + 4

- 4 - 4

- 10 = - 2/3x

3. Divide by - 2/3 which is the invers eoperation of multiplication.

- 10 = - 2/3x

- 2/3 - 2/3

(Keep,Change,Change - KCC method)

- 10 ÷ - 2/3 = - 10 × - 3/2 = 30/2 = 15

- 10 = - 2/3x

- 2/3 - 2/3

15 = x → x = 15

Check:

15 - 6 = 1/3(15) + 4

9 = 15/3 + 4

9 = 5 + 4

9 = 9

True statement.

Answer:

  4

Step-by-step explanation:

You want to know what number, multiplied by (5 +6), gives 20 +24.

For some number 'a', you want ...

  a(5 +6) = (20 +24)

We can solve for 'a' in the usual way.

  11a = 44 . . . . simplify

  a = 44/11 = 4 . . . . divide by the coefficient of 'a'

The missing number is 4: 4(5 +6) = 20 +24.

__

Additional comment

You can also look at it term by term:

  5a = 20   ⇒   a = 4

  6a = 24   ⇒   a = 4 . . . . the same factor, as you want it to be

Answer:

i don't speak Spanish but I think it's 3

The graph of the polynomial function is (x+4) (x-2) ²

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials.

AROUND THE GIVEN PARABOLA,

WE HAVE A POLYNOMIAL FUNCTION;

f(x)=(x+4)(x-2)²

at x=0

the value of f(x)=16

at x=-2

the value of f(x)=32

hence  for every value of f(x)=(x+4)(x-2)² is true .

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The formula we can use to find the side b is b² = a² + c² - 2ac cosB

The measure of sides and angles of a triangle are determine using the cosine and sine rule.

A triangle is a shape that has 3 sides and angles. For a triangle with angles ABC and sides a, b and c, the cosine rule is used as shown;

c² = a² + b² - 2ab cosC

The sides that is being determined will determine the angles that will be at the right hand side of the expression so that;

b² = a² + c² - 2ac cosB

Hence the formula we can use to find the side b is b² = a² + c² - 2ac cosB

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Answer:

C. b^2 = a^2 + c^2 - 2ac • cos(B)

Step-by-step explanation:

0.50 and 1 probability values indicates an event that is certain to happen

An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero. If there is a chance that an event will happen, then its probability is between zero and 1.

Probability of an event can not be negative.

We can easily discard first two options i.e. -0.80 and -0.60 as they are negative values.

Last two options i.e., 0.5 and 1 are positive values and they also lies in the range from 0 to 1. We can say that these values are considerable.

Final answer: 0.50 and 1 probability values indicates an event that is certain to happen

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Answer:

Let the number of 50p coins be x

and the number of 25p coins be 2x

Therefore,

Value of 50p coins = 50x p

and value of 25p coins = 2 * 25x p

= 50x p

Total value = Rs 34 = 34 * 100 p= 3400p

According to the question,

50x p + 50x p = 3400 p

=100x p = 3400p

= x = 3400p/100p

= x = 34

Therefore , number of 50p coins =34

and , number of 25p coins = 34 * 2 = 68

Step-by-step explanation:

hope it helps

Using the monthly payment formula, the price range of houses that they should consider is:

[$513,666.78, $592,083.48].

It is given by:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which:

For this problem, the parameters are given as follows:

The minimum price, discounting the down payment, is found when A = 2400, hence:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]2400 = 0.00375P\frac{(1.00375)^{360}}{(1.00375)^{360} - 1}[/tex]

[tex]P = \frac{2400[(1.00375)^{360} - 1]}{0.00375 \times (1.00375)^{360}}[/tex]

P = $473,666.78.

Considering the down payment, we add $40,000, hence the minimum value of the range is: $513,666.78.

The maximum price, discounting the down payment, is found when A = 3000, hence:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]3000 = 0.00375P\frac{(1.00375)^{360}}{(1.00375)^{360} - 1}[/tex]

[tex]P = \frac{3000[(1.00375)^{360} - 1]}{0.00375 \times (1.00375)^{360}}[/tex]

P = $592,083.48.

Considering the down payment, we add $40,000, hence the maximum value of the range is: $592,083.48.

Hence the price range is:

[$513,666.78, $592,083.48].

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Try this opttion

Step-by-step explanation:

[tex]1. \ F=m*a; \ = > \ F=740[\frac{m}{s^2} ]*6[kg]=4440[N];[/tex]

[tex]2. \ F=m*a; \ = > \ F=82[kg]*450[\frac{m}{s^2}]=36900[N]=36.9[kN];[/tex]

[tex]3. \ F=m*a; \ = > \ a=\frac{F}{m}; \ = > \ a=\frac{1800}{53}=33.9623[\frac{m}{s^2}].[/tex]

Answer:

[tex]f=-\frac{5}{3}[/tex]

Step-by-step explanation:

4m^2+7m

I did this before

The given statement is "A car is out of gas, and it will not run". The conditional statement can be given by using the word 'If'.

The conditional statement of the statement given in question is given by: If a car is out of gas, then it will not run. The Converse statement of the statement given in question is given by: If the car will not run, then it has no gas. The Inverse statement of the statement given in question is given by: If the car is not out of gas, then it will run. The Contrapositive statement of the statement given in question is given by: If the car will run, then it is not out of gas. The Biconditional statement of the statement given in the question is given by: If and only if the car is out of gas, then it will not run.

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Class boundaries list: 50,70,90,110,130,150,170,190,210

1. Calculate the range.

range= maximum value - minimum value= 205 - 50 =155

2. Divide the range by the number of classes.

width= [tex]\frac{155}{8}[/tex] =19.375

3. Round this number up to the nearest multiple of five.

width = 20

class boundaries: smallest class boundry= minimum value =50

difference between two class boundries= width

class boundaries list: 50,70,90,110,130,150,170,190,210

The range is the difference between the highest and lowest values within a set of numbers. To calculate range, subtract the smallest number from the largest number in the set.The statistical distributions' characteristics are described by the terms mean, median, mode, and range. The set of all potential values for terms that indicate predetermined events is known as a distribution in statistics. A term's value stated as a variable is referred to as a random variable.

The two main categories of statistical distributions are as follows. There are discrete random variables in the first category. This indicates that each phrase has a distinct, precise numerical value. A continuous random variable is present in the distribution of the second major kind. An unlimited number the  of possible values can be represented by a continuous random variable.

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