Draw a scatter plot and find the line of best fit for each set of data. (3,100),(5,150),(7,195),(9,244),(11,296),(13,346),(15,396)

Denote by x the number of miles traveled.

Denote by p(x) the price paid

[tex]p(x) = 2 + 0.75x[/tex]

[tex]p(12) = 2 + 0.75(12) \\ p(12) = 2 + 9 \\ p(12) = 11 \: dollars[/tex]

No he is not, since they stated that the price is equal to two more than the product of 0.75 and the distance traveled, in this case represented by the variable m

Answer:(m+2)(m+2)

Step-by-step explanation:

The difference of two squares takes the form

[tex](x^{2} -y^{2} ) =(x-y)(x+y)[/tex]

[tex](x^{2} +y^{2} ) =(x+y)(x+y)[/tex]

[tex](m^{2} -4)=(m^{2} -2^{2} )=(m-2)(m+2)\\\\(m^{2} +4)=(m^{2} +2^{2} )=(m+2)(m+2)[/tex]

I hope you understand!

The simplification of √x / √6 y³ after rationalizing all denominators is

[tex]\sqrt{6x}[/tex] [tex]y^{-3}[/tex]/ 6

Given; [tex]\frac{\sqrt{x} }{\sqrt{6} y^{3} }[/tex] , we are to simplify and also rationalize the denominators

[tex]\frac{\sqrt{x} }{\sqrt{6} y^{3} }[/tex]  *  [tex]\frac{{\sqrt{6} y^{3} }}{{\sqrt{6} y^{3} }}[/tex]

= [tex]{\sqrt{6} y^{3} }[/tex] * [tex]\sqrt{x}[/tex] / [tex]{\sqrt{6} y^{3} }[/tex]*  [tex]{\sqrt{6} y^{3} }[/tex]

=[tex]\sqrt{6x}[/tex] * [tex]y^{3}[/tex] / [tex]\sqrt{36}[/tex]* [tex]y^{6}[/tex]

= [tex]\sqrt{6x}[/tex] *  [tex]y^{3}[/tex] / 6 * [tex]y^{6}[/tex]

=[tex]\sqrt{6x}[/tex] * [tex]y^{3-6}[/tex]  / 6

= [tex]\sqrt{6x}[/tex] [tex]y^{-3}[/tex] /6

The final answer to this question, is, [tex]\sqrt{6x}[/tex] [tex]y^{-3}[/tex] /6

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Answer:

23˚

Step-by-step explanation:

If x = 10, then angle VYZ = 157 by basic algebra. Knowing that VYZ and WYZ are supplementary angles, we can do 180-157 to find angle WYZ. 180-157 = 23˚

Answer:

A city hospital tracked how many patients visited its ER over 9 days.

Using the data below, write out the five number summary and make a box and whisker plot.

4, 16, 24, 21, 7, 22, 8, 9, 14

Minimum: ________4______ Maximum: ______24________

Q1 is 8.5

: _______14___ Q2

: ______23____ Q3

: __________

Step-by-step explanation:

The inequality which can be used to determine x, the number of visits Shaniece can make to earn her first free movie ticket is 50 + 14.5x >= 195 and the solution is x >= 10

The given parameters are:

The inequality is calculated as

Reward point + Visit * Number of visits >= Points needed

So, we have

50 + 14.5x >= 195

Solve the inequality

14.5 >= 145

Divide by 14.5

x >= 10

Hence, the inequality which can be used to determine x, the number of visits Shaniece can make to earn her first free movie ticket is 50 + 14.5x >= 195 and the solution is x >= 10

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The inequality which can be used to determine x, the number of visits Shaniece can make to earn her first free movie ticket is 50 + 14.5x >= 195 and the solution is x >= 10

How to write and solve an inequality which can be used to determine x, the number of visits Shaniece can make to earn her first free movie ticket

The given parameters are:

Reward point = 50

Visit = 14.5 points per visit

Points needed = At least 195

The inequality is calculated as

Reward point + Visit * Number of visits >= Points needed

So, we have

50 + 14.5x >= 195

Solve the inequality

14.5 >= 145

Divide by 14.5

x >= 10

Hence, the inequality which can be used to determine x, the number of visits Shaniece can make to earn her first free movie ticket is 50 + 14.5x >= 195 and the solution is x >= 10

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From the box-and-whisker plot of the distribution, we have that:

The plot of the distribution is missing, as is given at the end of the answer.

It asks to describe:

A box and whisker plot shows five things:

For the plot in this problem, we have that:

Hence:

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There are 11.2% more men than women

The First step is to calculate the percentage of men in attendance

There are 75 men and 60 women

Total number of people in attendance= 75 +60

= 135

75/135 × 100

= 0.556 × 100

= 55.6

The percentage of women in attendance

= 60/135 × 100

= 0.444 × 100

= 44.4

Next step is to subtract both percentages

= 55.6 - 44.4

= 11.2

Hence there are 11.2% more men that women

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The five-number summary for the data 2, 2, 4, 4, 5, 5, 6, 7, 9, 15 is 2, 4, 5, 7, 15

The given data is 2, 2, 4, 4, 5, 5, 6, 7, 9, 15

The first step is to arrange the data in ascending order.

The given data is already in ascending order.

Lowest value = 2

Q1 = 4 (Median of first part i.e., 2, 2, 4, 4, 5)

Q2 = 5 (Median of full data i.e., 2, 2, 4, 4, 5, 5, 6, 7, 9, 15)

Q3 = 7 (Median of second part  i.e., 5, 6, 7, 9, 15)

Highest value = 15

So, the five number summary of the data is 2, 4, 5, 7, 15

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Answer:

250% decrease

Step-by-step explanation:

How many times does 100 go into 250. 2.5 times. Thus it is 250%

Answer:

65,209

Step-by-step explanation:

I got it write

Answer:

65209

the answer is 65209

Answer:y x

Step-by-step explanation:

calculator

Answer:

47mph

Step-by-step explanation:

329/7=47

Answer: First you used distribute property

7(2+6) bring 7 into the parentheses

14+42 Then you just add

56 that’s the sum

Step-by-step explanation: hope this helps

In the form y = ab^x, if b is a number between 0 and 1, the function represents exponential decay.

The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)x, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.

Radioactive decay and population decline are two examples of exponential decay. The data collected can be used to forecast future population trends for cities and colonies as well as the half-life of radioactive materials.

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The resulting polynomial after subtracting will be -5x² +18x -9

In the given question, we have two polynomials. We have to Subtract (3x-3)² from 4x². Firstly we will have to calculate (3x-3)².

Calculating, (3x-3)²
            => (3x - 3)² = 9x² -18x +9

After evaluating (3x - 3)²  we get 9x² -18x +9.

Subtracting 4x² by 9x² -18x +9 we get:

     => 4x² - (9x² -18x +9)    => 4x² - 9x² +18x -9

     => -5x² + 18x -9

We get a resultant answer after subtracting -5x²  + 18x -9

Hence, the equation after subtracting the two numbers will be

-5x²  + 18x -9

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Answer to this question is:

Domain of given function is (-∞,∞),{x|x∈R}

Range of given function is [0,∞),{y|y≥0}

Inverse of given function is √2x,-√2x

The domain is all values of x that make the expression defined.The entire range of independent variable values is the domain of a function.

This definition can be stated simply as follows: The domain is the collection of all x-values that can be used to make the function "work" and produce actual y-values.

When choosing the domain, keep in mind that a fraction's denominator (bottom) cannot be 0.

Interval Notation:(-∞,∞)

Set-Builder Notation:{x|x∈R}

The set of all valid y values constitutes the range.Graph may be used to find the values.

Interval Notation:[0,∞)

Set-Builder Notation:{y|y≥0}

For calculation of inverse:

∴Domain of given function is (-∞,∞),{x|x∈R}

Range of given function is [0,∞),{y|y≥0}

Inverse of given function is √2x,-√2x

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Answer: graph the function defined by the formula g(x) = f(x)+2. To graph y = f(x) - k, shift the graph of y = f(x) down k units by subtracting k from.

Step-by-step explanation:

Answer:

Hypotenuse

Step-by-step explanation:

The longest side of a triangle is opposite the largest angle, which is the right angle in a right triangle.

Answer:

Hypotenuse.

Step-by-step explanation:

Discussion

A: says it is a right angle. It can't be the answer to the longest side.

B: Usually B and A might be the hypotenuse, but that is generally not the way they are displayed.

C: Neither B nor A can be chosen.

D: Answer:

The size of each plot is 3630 square feet to plant six vegetables.

Given, Susan is using 0.5 acres of land.

we know that 1 acre = 43,560 square feet

0.5 acre = 1/2 acre = 1/2 × 43,560

= 21780 square feet.

we need to divide the land into 6 equal sized plots.

divide 21780 into six equal parts.

= 21780/6

= 3630 square feet

the land is being divided into 3630 square feet to plant 6 equal sized plots.

Hence susan plants six vegetables in 3630 square feet each.

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The maximum height of the ball is 9.8 feet.

The distance the ball travels horizontally before hitting the ground is 2.

The graph that model the parabolic path is given below.

Parabolic path is defined as the angle of trajectory of a projectile.

We have,

y = 0.4x² + 1.6x + 5 _____(1)

Where,

x = balls horizontal distance

y = height of the ball

To find the maximum height we need to differentiate y and set y = 0.

y' = 0

0.4 x (2x) + 1.6 + 0 = 0

0.8x + 1.6 = 0

-0.8x = -1.6

x = 1.6 / 0.8

x = 2

Now the maximum height of the ball is:

Put x = 2 in (1)

y = -0.4 x (2)² + 1.6 x (2) + 5

y = 0.4 x 4 + 3.2 + 5

y = 1.6 + 3.2 + 5

y = 9.8

The distance the ball travels horizontally before hitting the ground:

x = 2

The equation that models the​ ball's parabolic path is given below:

Thus,

The maximum height of the ball is 9.8 feet.

The distance the ball travels horizontally before hitting the ground is 2.

The graph that model the parabolic path is given below.

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Answer: A. 3x+y=-6    y=-3x+6

Step-by-step explanation:

7m shelf length is required for 300 such books, and 36 books are needed to fill the 84cm long shelf. So option (a). 7m,36 books is the correct option.

here in the question we need to apply concept of division.

what is division ?

Division is kind of mathematical operation where we find out equals parts of a number, by applying it a number can cut into many equal parts. It is opposite to multiplication.

As 60 books occupy 1.4 m of shelf ,

S0, 1 books occupies = 1.4/60 m of shelf

Then, 300 books occupy {(1.4/60)×300} m of shelf=

7m of shelf

Now, 7m=700cm is occupied by 300 books,

So,1cm is occupied by (300/700) books

Then, 84cm is occupied by (300/700)×84 books=36 books.

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The question was incomplete.

Check below the full question.

In a book store,60 books of the same kind occupy 1.4m of shelf length . how much shelf length is required for 300 such books ? if a shelf is 84cm long, how many books are needed to fill the shelf?

a. 7m,36 books
b. 5m,32 books

c. 10m,16 books

d. 3m,9 books

The amount in a continuously compounded account for the given conditions is $1819.76 .

It is given that principal is 950 , annual interest rate is  6.5% , time is 10 years

Putting [tex]P=\$950 , \ r= 6.5\% , \ t=10 \ years[/tex] in equation (1) , we get

  [tex]A=950\times 2.71^{0.065 \times 10}\\A=950\times 2.71^{0..65}\\\A=950\times1.9155\\A =$1819.76[/tex]

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Answer:

angle v

please take a look at the gif

Answer:

v

Step-by-step explanation:

Answer:

71.5556 but since you cant have half a pizza its only 71

Step-by-step explanation:

Answer:

Let the number of equations be x and the number of vocabulary questions be y.

x + y = 26 (total num of questions)So, y = 26 - x (eliminate one variable to solve for one first)2x + 5y = 100 (total points)2x + 5 (26 - x) = 100 (substituting 26 - x in place of y)

2x + 130 - 5x = 100 (distributing the 5)-3x = -30x = 10

Since there are 10 equation questions, there must be 16 vocabulary questions to satisfy the total number of questions in the test

Hope this helps!

Table with proportionality 2 is table 3

Percussion    string

   1                      2

   2                     4

   3                     6

A proportion is an equation in which two ratios are set equal to each other.

from first table

2/3

4/6=3/2

6/9=3/2

from second table

2/5

4/10=5/2

6/15=5/2

From the third table

2/1=2

4/2=2

6/3=2

and from fourth table

2/4=1/2

4/8=1/2

6/12=1/2

hence, the table with proportionality 2 is table 3.

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