Problem is the attached image.

The correct option is (b)  Regression 2 is a better fit because there appears to be a nonlinear relationship between x and y.

According to the above evidence, it is concluded that Regression 2 is better fit as, in the regression 2, the graph represents to be nonlinear relationship between x and y.

Since all the other concluded ones are not best describe the residential plot of given evidence, Hence, based on the evidence Regression 2 is better than the Regression 1 as it includes the nonlinear relationship between x and y that is exactly shown in the above evidence.

Question:

Which of the following conclusions is best supported by the evidence above?

a) Regression 1 is a better fit because there appears to be a nonlinear relationship between x and y.

b) Regression 2 is a better fit because there appears to be a nonlinear relationship between x and y.

c) Regression 1 is a better fit because there appears to be a linear relationship between x and y.

d)Regression 2 is a better fit because there appears to be a linear relationship between x and y

e) There is a negative correlation between x and y.

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Answer:

C

Step-by-step explanation:

So 28% of commission of each $55 game (I wish that was the real world)

Finding 28% of 55:

(.28)(55) = $15.40

Assuming she sells 20 games, we multiply $15.40 by 20

(15.40)(20) = $308

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{(\dfrac{7}{8})^4}[/tex]

[tex]\mathsf{= \dfrac{7}{8}\times\dfrac{7}{8}\times\dfrac{7}{8}\times\dfrac{7}{8}}[/tex]

[tex]\mathsf{= \dfrac{7\times7\times7\times7}{8\times8\times8\times8}}[/tex]

[tex]\mathsf{= \dfrac{49\times49}{64\times64}}[/tex]

[tex]\mathsf{= \dfrac{2,401}{4,096}}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{2,401}{4,096}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:  9

Step-by-step explanation:

Y=x2=9

Answer: The IV infusion will run for 10 hours.

To find out, you divide the total volume of fluid (1000 mL) by the rate of infusion (100 mL/hr):

1000 mL / 100 mL/hr = 10 hours.

Rounding to the nearest whole number, the IV infusion will run for 10 hours.

Step-by-step explanation:

Answer:

The doctor orders 1000 mL of fluid to run at a rate of 100 mL per hour. To find out how long this IV infusion will run, divide the total volume of fluid by the flow rate:

1000 mL / 100 mL/hr = 10 hours

So, the IV infusion will run for 10 hours.

In the interval [0, π/2], the function is one-to-one or injective.

The functions which have one-to-one behaviour are called injective functions. An injective function is a function in which every horizontal line in the plane intersects the graph of f at most one point or we can say if f(x) = f(y) then x = y.

First, we need to draw the graph of y = |cos x|. The graph of y = |cos x| is attached.

We can see from the graph that the value of the function is 1 when x = 0 and the value of the function decreases till it takes 0 at x = π/2 and then the value of the function increases again.

In the option [0, π] and [0, 2π] the behaviour of the function is not injective.

In [0, π/4], the function is injective but [0, π/2] is the correct answer as it represents the largest interval starting from 0 on which this function is one-to-one.

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Answer:

3 hours

Step-by-step explanation:

Answer:

=94

Step-by-step explanation:

Hope itvhelps you↑↑

Answer:

[tex]x = 1[/tex]

Step-by-step explanation:

In the rectangle, WU = 2NU, where WU = 13x - 1 and NU = 6

Replacing for the values in the equation: WU = 2NU, it becomes: 13x - 1 = 2 × 6

Going further:

[tex]13x - 1 = 12[/tex]

[tex]13x = 12 + 1 \\ 13x = 13[/tex]

[tex]x = \frac{13}{13} = 1[/tex]

Therefore, x = 1

Function F(X) is shifted 1 unit left and 1 unit up.

Identify The Parent Function.

Reflect Over X-Axis or Y-Axis.

Shift (Translate) Vertically or Horizontally.

Vertical and Horizontal Stretches/Compressions.

Plug in a couple of your coordinates into the parent function to double check your work.

Transformation of functions means that the curve representing the graph either "moves to left/right/up/down" or "it expands or compresses" or "it reflects". For example, the graph of the function f(x) = x2 + 3 is obtained by just moving the graph of g(x) = x2 by 3 units up.

There are different formulas for different rules of transformation. For vertically transformation the function f(x) is transformed to f(x) + a or f(x) - a. For horizontal transformation the function f(x) is transformed to f(x + a) or f(x - a). Further for stretched or compressed transformation is it f(cx) or cf(x).

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The value of the given indefinite integral is[tex]=\frac{1}{2}\ln \left|x^2+6x+45\right|-\frac{3}{2}\arctan \left(\frac{1}{6}\left(x+3\right)\right)+C[/tex]

An integral which is not having any upper and lower limit is known as an indefinite integral. Mathematically, if F(x) is any anti-derivative of f(x) then the most general antiderivative of f(x) is called an indefinite integral and denoted, ∫f(x) dx = F(x) + C.

Given is an indefinite integral, [tex]\int \frac{x-6}{\left(x+3\right)^2+36}dx[/tex]

Solving,

Applying u-subsituition,

[tex]=\int \frac{u-9}{u^2+36}du[/tex]

Expanding,

[tex]=\int \frac{u}{u^2+36}du-\int \frac{9}{u^2+36}du[/tex]

Since, [tex]\int \frac{u}{u^2+36}du = \frac{1}{2} ln|u^2+36|[/tex]

And,

[tex]\int \frac{9}{u^2+36}du = \frac{3}{2} tan^-^1(\frac{u}{6} )[/tex]

Therefore,

[tex]=\int \frac{u}{u^2+36}du-\int \frac{9}{u^2+36}du[/tex] [tex]=\frac{1}{2}\ln \left|u^2+36\right|-\frac{3}{2}\arctan \left(\frac{u}{6}\right)[/tex]

Substitute u = x+3

[tex]=\frac{1}{2}\ln \left|\left(x+3\right)^2+36\right|-\frac{3}{2}\arctan \left(\frac{x+3}{6}\right)[/tex]

[tex]=\frac{1}{2}\ln \left|x^2+6x+45\right|-\frac{3}{2}\arctan \left(\frac{1}{6}\left(x+3\right)\right)[/tex]

Add constant c,

[tex]=\frac{1}{2}\ln \left|x^2+6x+45\right|-\frac{3}{2}\arctan \left(\frac{1}{6}\left(x+3\right)\right)+C[/tex]

Hence, the value of the given indefinite integral is

[tex]=\frac{1}{2}\ln \left|x^2+6x+45\right|-\frac{3}{2}\arctan \left(\frac{1}{6}\left(x+3\right)\right)+C[/tex]

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Answer:

Do you still need help?

I can help with your geometry if it is not too late.

The point C is equidistant to (b) CL = CM = CN

From the question, we have the following parameters that can be used in our computation:

The triangle

From the triangle, we can see that the point C is the centroid of the triangle

As a general rule:

The centroid is the geometric centre of a triangle. It is equidistant from all the points present on the triangle.

This means that point C is equidistant from L, M and N

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Tripling the radius of a circle results in a nine-fold increase in its area.

The radius of a circle is a critical component in determining its size. Tripling the radius of a circle means that the size of the circle has increased three times its original size.

The area of a circle can be calculated using the formula

=> A = πr²,

where A represents the area of the circle, π is Pi, and r is the radius. When the radius of a circle is tripled, the value of r becomes 3 times its original value, meaning the formula becomes

=> A = π(3r)² = π * 9r² = 9πr².

Therefore, the new area of the circle is nine times the original area of the circle.

Complete Question:

The radius of a circle is tripled. Which of the following describes the effect of this change on the area?

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Answer:

Brhaaliarwoiagsajaidgsiuaaidywlx

Answer: $72.93

Step-by-step explanation:

$72.93

Answer:

5:2 is the answer of that question.

A second-degree polynomial can be used to fit the three data points by finding the coefficients of the polynomial that pass through the three given points. The general form of a second-degree polynomial is:

p(x) = ax^2 + bx + c

We can use the three data points to solve for the coefficients a, b, and c. Let's use the year 2000 as the reference point and set x = 0. Then, we have:

p(0) = c = 287 million (at x = 0, the population is 287 million)

Next, let's use the data point for 1990, which is 244 million. The year 1990 is 10 years before 2000, so x = -10. Substituting these values into the polynomial, we have:

p(-10) = a * (-10)^2 + b * (-10) + c = 244 million

Solving for a and b using the two equations above, we have:

a = (244 - 287 + 10b) / 100

c = 287

Substituting these values back into the polynomial, we have:

p(x) = (244 - 287 + 10b) / 100 * x^2 + bx + 287

Finally, let's use the data point for 2010, which is 324 million. The year 2010 is 10 years after 2000, so x = 10. Substituting these values into the polynomial, we have:

p(10) = (244 - 287 + 10b) / 100 * 10^2 + b * 10 + 287 = 324 million

Solving for b, we have:

b = (324 - 244 + 287) / 10 - (244 - 287) / 100 * 10^2 = 37

Therefore, the final form of the second-degree polynomial that passes through the three data points is:

p(x) = (244 - 287 + 10 * 37) / 100 * x^2 + 37x + 287 = 7x^2 + 37x + 287

This polynomial can be used to estimate the population of the country for any year close to 1990, 2000, or 2010.

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Answer:

Step-by-step explanation:

To convert into a percent, multiply by 100

1)

a)0.543; = 0.543*100= 54.3%

b) 0.0098; = 0.0098*100=0.98%

c) 1.67; = 1.67*100=167%

To convert percentages into decimals, divide by 100

2)

a) 10%= 10÷100= 0.1

b) 0.010%= 0.010÷100= 0.0001

To convert mixed numbers into decimals, convert mixed numbers into improper fractions and divide

3)

a)2 1/3= 7/3= 2.333 =233.3%

b)5 3/5= 28/5= 5.6 =560%

To convert a fraction into a mixed number, divide the numerator by the denominator

4)

a) 11/4= 2+3/4= 2 3/4

b) 16/7= 2+2/7= 2 2/7

1. Convert decimals to percentages:

a) 0.543 can be converted to percentage by multiplying it by 100. So, 0.543 x 100 = 54.3%

b) 0.0098 can be converted to percentage by multiplying it by 100. So, 0.0098 x 100 = 0.98%

c) 1.67 can be converted to percentage by multiplying it by 100. So, 1.67 x 100 = 167%

2. Convert percentages to decimals:

a) 10% can be converted to a decimal by moving the decimal two places to the left. So, 10% = 0.10

b) 0.010% can be converted to a decimal by moving the decimal four places to the left. So, 0.010% = 0.0001

3. Convert mixed numbers to fractions and decimals:

a) 2 1/3 can be converted to a fraction by finding a common denominator of 3 and writing the whole number as a fraction. So, 2 1/3 = (2 x 3 + 1) / 3 = 7/3

It can also be converted to a decimal by dividing the numerator by the denominator. So, 7/3 = 2.333...

c) 5 3/5 can be converted to a fraction by finding a common denominator of 5 and writing the whole number as a fraction. So, 5 3/5 = (5 x 5 + 3) / 5 = 28/5

It can also be converted to a decimal by dividing the numerator by the denominator. So, 28/5 = 5.6

4. Convert fractions to mixed numbers:

a) 11/4 can be converted to a mixed number by dividing the numerator by the denominator and writing the remainder as a fraction. So, 11/4 = 2 3/4

b) 16/7 can be converted to a mixed number by dividing the numerator by the denominator and writing the remainder as a fraction. So, 16/7 = 2 2/7

The total cost of the six fill-ups during winter is $4977.

Word problems are mathematical problems expressed with words that involve the interpretation of mathematical variables and the usage of the appropriate arithmetic operations to solve them.

From the given information;

If the price per gallon is $3.95 and a tank can hold 210 gallons. Then, the price for a single full tank is $3.95 × 210 = $829.5

In addition to that, if Tanis has six fill-ups tanks during the winter, his total cost would be:

= $829.5 × 6

= $4977

Therefore, we can conclude that the total cost of the six fill-ups during winter is $4977.

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The probability that the student was female GIVEN they got a 'B' is 0.194.

It is a branch of mathematics that deals with the occurrence of a random event.

           A        B        C      Total

Male     5       15       20      40

Female 2      14       16       32

Total     7      29      36       72

We have to find the  probability that the student was female GIVEN they got a 'B'

P(Female ∩ B) =  14/72 = 0.1944

Hence, the probability that the student was female GIVEN they got a 'B' is 0.194.

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Answer:

its 48 lb·in.

I'll give you an example and plug in the numbers:

Given:

6 lb is needed to stretch 4 inches beyond natural length.

Need work done to stretch same string from natural length to 8 inches.

Solution:

string stiffness, K

= Force / stretched distance

= 6 lb / 4 inches

= 1.5 lb/inch

Work done on a string of stiffness K

= (Kx^2)/2 lb-in

= 1.5 lb/in *(8 in)^2)/2

= 48 lb-in.

Using the definition of the derivative, the derivative of the function is f'(t) = 5t + 6. The domain of the function and its derivative are both the set of all real numbers.

The derivative is a concept in calculus that represents the rate of change or the slope of a function at a specific point. It is defined as the limit of the difference quotient of the function as the interval between the two points approaches zero. Mathematically, the derivative of a function f(x) at a point x is represented as f'(x) and can be expressed as:

f'(x) = lim h -> 0 [f(x + h) - f(x)]/h

where h is the interval between the two points.

The derivative is a fundamental tool for analyzing and understanding the behavior of functions, including their local maxima, minima, and inflection points, as well as for solving problems in physics and engineering.

The derivative of the function f(t) = 2.5t² + 6t can be found using the definition of the derivative:

f'(t) = limit as h -> 0 of [f(t + h) - f(t)]/h

= limit as h -> 0 of [2.5(t + h)² + 6(t + h) - (2.5t² + 6t)]/h

= limit as h -> 0 of [2.5t² + 5ht + 2.5h² + 6t + 6h - 2.5t² - 6t]/h

= limit as h -> 0 of [5ht + 2.5h² + 6h]/h

= limit as h -> 0 of [5t + 2.5h + 6]

= 5t + 6

The domain of the function f(t) = 2.5t^2 + 6t is all real numbers. The domain of its derivative f'(t) = 5t + 6 is also all real numbers.

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Check the picture below.

r       = rate of the faster cyclist

r - 7 = rate of the slower cyclist

we know they both met 5 hours later, so the time each one has been cycling has been 5 hours for each.

let's say the faster cyclist on those 5 hours covered "k" kilometers, that means the slower one cover the slack, namely "255 - k" kilometers.

[tex]{\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{Km s}{distance}&\stackrel{km/h}{rate}&\stackrel{hour}{time}\\ \cline{2-4}&\\ \textit{faster cyclist}&k&r&5\\ \textit{slower cyclist}&255-k&r-7&5 \end{array}\hspace{5em} \begin{cases} k=(r)(5)\\\\ 255-k=(r-7)(5) \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{using the 1st equation}}{k=5r}\hspace{5em}\stackrel{\textit{substituting on the 2nd equation}}{255-(5r) = (r-7)(5)} \\\\\\ 255-5r=5r-35\implies 255=10r-35\implies 290=10r \\\\\\ \cfrac{290}{10}=r\implies 29=r\hspace{5em}\stackrel{\textit{faster cyclist}}{\text{\LARGE 29}~\frac{km}{h}}\hspace{5em}\stackrel{\textit{slower cyclist}}{\text{\LARGE 22}~\frac{km}{h}}[/tex]

The distance between the two points is 13 units.

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²)

point 1 (1, 4): x1 = 1 , y1 = 4

point 2 (6, 16): x2 = 6 , y2 = 16

Using the formula with the given values:

d=√((x2 – x1)² + (y2 – y1)²

d=√((6 – 1)² + (16 – 4)²)

d=√(5² + 12²)

d = √169

d = 13 units

Therefore, the distance is 13 units.

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The correct Set-builder form for the following set written in Roster form       { -4,− 3 , − 2 , − 1 , 0 , 1 } is,

⇒ {x ∈ Z | - 4 ≤ x ≤ 1}

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The set is,

⇒ { -4,− 3 , − 2 , − 1 , 0 , 1 }

Now, The correct Set-builder form for the following set written in Roster form { -4,− 3 , − 2 , − 1 , 0 , 1 } is,

⇒ {x ∈ Z | - 4 ≤ x ≤ 1}

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Answer:

-5

Step-by-step explanation:

Let x be the number we are trying to find.

According to the problem statement, we know that:

3(x + 3) = x - 1

Expanding and solving for x, we get:

3x + 9 = x - 1

2x = -10

x = -5

So the number we were trying to find is -5.

To find a pattern in a sequence using differences, we can calculate the difference between consecutive terms and look for a pattern in the differences.

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