The equation of the line of best fit is y=15.621x+8.83 Based on the line of best fit, Approximately how many pages are predicted To be in a book with eight chapters

Answer:

If I getting the question correctly, your doubt is the order of the values you get after doing the math. I mean, you can do the calculations, but in the end, you don't form the coordinate pairs correctly, that's why I understand from your question. So, here is what you need to do.

One way to graph is by using the definitions of those kinds of functions. For example, let's say we want to find the points to draw the function: [tex]y=sin(x)[/tex]

Remember that trigonometric functions have a specific period, that means, their drawing repeats over and over again after a certain number. That period is [tex]2 \pi[/tex], that means this number represents a cycle.

So, the main thing you need to do is to pick a starting point to then, draw the curve according to the [tex]2 \pi[/tex] period.

Now, we know that sine functions intercept the origin of the coordinate system, as you can observe in the image attached, there you can see that from the origin you draw those waves making sure you intercept the x-axis at every [tex]\pi[/tex] number. In the end, you will have a sine function.

On the other hand, if you want to have a chart with all x-values and y-values. First, you need to set x-values: -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5. Then, you need to find each y-values for each of them.

Now, you have to draw a chart value, to keep in other the coordinate pairs, that way, you'll have the correct pairs at the end.

For example, for [tex]x=-5[/tex], we get [tex]y=-0.09[/tex], that means in the chart value, you are gonna form the pair [tex](-5, -0.09)[/tex], and now you have your first point of the drawing. Then, you keep repeating the process until you complete all the chart values.

As you can imagine, you're going to get really small decimal numbers, that's why I explained to you the first method, it's faster and easier.

Answer:

150 days

Step-by-step explanation:

6-4=2

100/2=50

50*3=150

The number of days for the radioactive material to disintegrate to 3 grams is 173.077 days.

The rate of disintegration varies directly proportional to the quantity of the material.

As such, we can say:

[tex]\mathbf{=\dfrac{dN}{dt}\ \alpha \ N}[/tex]

[tex]\mathbf{\implies \dfrac{dN}{N}\ = k dt}[/tex]

Taking the integral form;

[tex]\mathbf{\implies \int \dfrac{dN}{N}\ =\int k dt}[/tex]

[tex]\mathbf{\implies In N =kt+ C---- (1)}[/tex]

When t = 0, N = 6 grams

In(6) = C

∴

When t = 100, N = 4 grams

In (4) = 100k + In6

100 k = 1n (4) - In(6)

[tex]\mathbf{100 k = In (\dfrac{4}{6})}[/tex]

[tex]\mathbf{k = \dfrac{1}{100} In(\dfrac{4}{6})}[/tex]

∴

From equation (1):

[tex]\mathbf{In N = \dfrac{t}{100} In(\dfrac{4}{6})+ In 6}[/tex]

when,

[tex]\mathbf{In (3) = \dfrac{t}{100} In(\dfrac{4}{6})+ In 6}[/tex]

[tex]\mathbf{\implies \dfrac{t}{100} In(\dfrac{4}{6}) = In \dfrac{ 3}{ 6}}[/tex]

[tex]\mathbf{t = 100\times \Big ( \dfrac{In (\dfrac{ 3}{ 6})}{ In(\dfrac{4}{6}) }\Big) }[/tex]

[tex]\mathbf{t = 100\times \Big ( \dfrac{0.69314}{ 0.40048}\Big) }[/tex]

t = 173.077 days

Therefore, the number of days for the radioactive material to disintegrate to 3 grams is 173.077 days.

Learn more about radioactive materials here:

https://brainly.com/question/24339152?referrer=searchResults

Answer:

Step-by-step explanation:

1. The Hamilton method has you compute the number represented by each board member (total population/# members). Using this factor, the number of board members for each district are computed. This raw value is rounded down.

Because this total does not allocate all board members, the remaining members of the board are allocated to the districts based on the size of the fraction that was truncated when rounding down. Allocations start with the largest fraction and work down until all board members have been allocated.

The attached spreadsheet implements this algorithm using a "threshold" that is adjusted to a value between 0 and 1, signifying the cutoff point between a fraction value that gets an additional member and one that doesn't. (Often, that threshold can be set at 0.5, equivalent to rounding the raw board member value to the nearest integer.)

The resulting allocations are ...

  Town A: 2

  Town B: 2

  Town C: 6

  Town D: 12

__

2. The second attachment shows the result after the population move. The allocations of board members are identical.

__

3. The "factor" (persons per board member) is about 4500, so we don't expect a move of 900 people to make any difference in the allocation. These results make complete sense.

__

4. Of course each town will consider its own interest at the expense of everyone else, so they may or may not consider the results fair. The towns have population ratio of about 9 : 9 : 25 : 56, so the ratios 2 : 2 : 6 : 12 are quite in line. Even in the second year, when the ratios are closer to 9 : 10 : 26 : 56, the changes are small enough that the allocation of board members still makes sense. The results are fair.

_____

Comment on "fair"

The reason there are different methods of allocation is that each seeks to rectify some perceived flaw in one or more of the others. The reason there is not a general agreement on the method to be used is that some benefit more from one method than from another. "Fair" is in the eye of the beholder. I believe in this case it would be very difficult to justify any other allocations than the ones computed here.

Answer:

7/24

Step-by-step explanation:

7/8×3/8= 21/72

divide using 3

= 7/24

Answer:

Real Estate Deals

The best "payoff deal:"

B. Office Building

Step-by-step explanation:

A) Payoff Table

                                  Good Economic         Bad Economic

                                     Conditions                 Conditions

Probability                          (.60)                          (.40)

Apartment Building         $50,000                    $30,000

Office Building               $100,000                   $-40,000

Warehouse                     $30,000                     $10,000

B) Calculation of Expected Values:

                             Good Economic      Bad Economic    Expected Values

                                  Conditions          Conditions

Probability                       (.60)                    (.40)

Apartment Building     $30,000             $12,000             $42,000

Office Building            $60,000            $-16,000             $44,000

Warehouse                  $18,000               $4,000            $22,000

b) The expected value for these real estate deals can be derived as the sum of the payoffs under the two economic conditions after they have been weighed with their odds of occurrence.  The office building, in this example, showed the best payoff deal as the expected payoff from it results to a payoff of $44,000, which is higher than the expected payoff from the Apartment and Warehouse.  However, it is also the riskiest, especially when bad economic conditions occur.  This also accords with the general economic risk-return pattern that higher risky investments attract higher returns.

Answer:

40

Step-by-step explanation:

20 * 1

= 20

20 * 2

= 40

Answer:

40

Step-by-step explanation:

The first step is to multiply 20 by 1. Whenever you multiply something by 1, it will always stay the same no matter what.

20*1=20

The next step is to multiply by 2. When multiplying anything by two, it is the same as adding the same number to itself. so

20*2=40 or 20+20=40

Hope this helps. Feel free to ask any follow-up questions if you are still confused

Have a great day! :)

Answer:

B. 323 square centimeters

Step-by-step explanation:

multiply the inches by the conversion number

50 x 6.45 = 322.5

Answer:

[tex]\boxed{Option \ B}[/tex]

Step-by-step explanation:

[tex]1 \ inch^2 = 6.45 \ cm^2[/tex]

Multiplying both sides by 50

[tex]1 * 50 \ inch^2 = 6.45 * 50 \ cm^2\\[/tex]

[tex]50 \ inch^2 = 323 \ cm^2[/tex]

Answer:

88

Step-by-step explanation:

M : R

3 : 7

R : E

1 : 2

So make Ryan equal

1×7=7

2×7=14

tfo R : E

7 : 14

then add all 3forM+7forR+14forE = 24

192/24=8

so for Ethan, 8×14=112and for Marc, 8×3=24

therefore Ethan has 112-24=88 more stickers than Marc

Answer:

2(6)(4)

Step-by-step explanation:

The commutative law of multiplication states that the order of the numbers does not affect the answer. To rewrite 2(4)(6) using the commutative law of multiplication, rearrange the order of the numbers.

Answer:

Easiest way to do this is to get the X's on one side of the equals sign and the Y's on the other. Then, you can choose the one with the negative sign in it.

When you do that,

First one is 2x=0+y, or y = 2x

Second one is 2y=0+x, or 2y = x (weird right)

Third one is x=0+2y, or 2y = x (again, weird right)

Final one is 2y=0-x, or 2y = -x

The final one is the answer. Cheers, but don't forget to remember this for next time bro.

Answer:

A  B  C

Step-by-step explanation:

Answer:

abc or 123

Step-by-step explanation:

Answer:

down b3low

Step-by-step explanation:

The point where the two lines intersect is the only solution. An inconsistent system has no solution. Notice that the two lines are parallel and will never intersect. A dependent system has infinitely many solutions.

Answer: 23 cans of soda/4 people.

or (23/4) cans of soda per person.

Step-by-step explanation:

So we have the rate:

46 cans of soda/ 8 people

First, 46 and 8 are multiples of 2, so we can divide both numerator and denominator by 2:

46/2 = 23

8/2 = 4

Then the rate can be:

23 cans of soda/4 people.

Now 23 is a prime number, so we can not simplify it furthermore

Answer:

Refeect circle A over the the y line = x

Step-by-step explanation:

Answer:

1. Sometimes

2. Sometimes

3. Always

4. Sometimes

Step-by-step explanation:

1. Quadratic function : in which maximum power of [tex]x[/tex] is two.

The roots of quadratic function can be either equal or different.

For example:

So, sometimes is the correct answer.

2. Cubic function has atleast 1 real root.

Cubic function has maximum power of [tex]x[/tex] as 3.

If the coefficients are real numbers then atleast 1 real root.

If the coefficients are imaginary in nature, then this is not true.

For example:

Cubic equation [tex]x^3 +i = 0[/tex] does not have any real root.

Cubic equation [tex]x^3 +1 = 0[/tex] has a real root x = -1.

So, it is sometimes true.

3. A function with degree 5 i.e. maximum power of [tex]x[/tex] as 5 will have 5 roots.

It is always true that a function will have number of roots equal to its degree.

4. Quadratic function can have only 1 complex solution.

Two complex solutions are also possible for a quadratic function.

For example:

[tex]x^{2} +1=0[/tex] will have two imaginary roots: [tex]x=i, -i[/tex]

It is also possible to have 1 complex solution,

For example:

[tex](x-1)(x-i) = 0[/tex] will have one complex root and one real root.

So, the statement is sometimes true.

Answer:

MY ANSWER IS CORRECT IN PLATO!!!

1. Sometimes

2. Always

3. Always

4. Never

Step-by-step explanation:

1. A quadratic function has 2 distinct roots SOMETIMES

2. A cubic Function has at least 1 root ALWAYS

3. A function with a degree of 5 has 5 roots ALWAYS

4. A quadratic function can have only 1 complex solution NEVER

I JUST GOT 100% on the quiz in PLATO

Answer:

P(A︱B) =0.50

Step-by-step explanation:

That's the answer

Answer:

0.99379

Step-by-step explanation:

The first thing to do here is to calculate the z-score

mathematically;

z-score = x-mean/SD/√(n)

From the question x = 9.5 ,

mean = 9, SD = 2 and n = 100

Plugging the values we have;

z-score = (9.5-9)/2/√(100) = 0.5/2/10 = 0.5/0.2 = 2.5

So the probability we want to calculate is;

P(z<2.5)

We use the standard table for this

and that equals 0.99379

Answer:

x = 49/15

Step-by-step explanation:

15x - 30 x 0 + 40 = 89           PEMDAS

15x + 40 = 89        Isolate the variable

15x = 49      

x = 49/15

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 49/15 or 3 4/15 or 3.26

▹ Step-by-Step Explanation

15x - 30 * 0 + 40 = 89

15x - 0 + 40 = 89

15x + 40 = 89

15x = 89 - 40

15x = 49

x = 49/15 or 3 4/15 or 3.26

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

[tex]\huge\boxed{y=\sqrt{55}}[/tex]

Step-by-step explanation:

ΔADC and ΔDBC are similar (AAA)

Therefore the cooresponging sides are in proportion:

[tex]\dfrac{AC}{CD}=\dfrac{CD}{BC}[/tex]

Substitute:

[tex]AC=6+5=11\\BC=5\\CD=y[/tex]

[tex]\dfrac{11}{y}=\dfrac{y}{5}[/tex]              cross multiply

[tex](11)(5)=(y)(y)\\\\55=y^2\to y=\sqrt{55}[/tex]

Answer:

37.7

Step-by-step explanation:

Well use the formula for the volume of a cylinder which is,

,[tex]\pi r^2 h[/tex]

So the radius is 2 and the height is 3, so we plug those numbers into the formula,

(pi)(2)^2(3)

2^2 is 4 4*3 is 12

12*pi is about 37.7 rounded to the nearest tenth.

If you would like to check look at the image below.

Answer:

A = 59.63cm^2

Step-by-step explanation:

You have the following function for the surface area of the container:

[tex]A=\pi r^2+\frac{100}{r}[/tex]                (1)

where r is the radius of the cross sectional area of the container.

In order to find the minimum surface are you first calculate the derivative of A respect to r, to find the value of r that makes the surface area a minimum.

[tex]\frac{dA}{dr}=\frac{d}{dr}[\pi r^2+\frac{100}{r}]\\\\\frac{dA}{dr}=2\pi r-\frac{100}{r^2}[/tex]         (2)

Next, you equal the expression (2) to zero and solve for r:

[tex]2\pi r-\frac{100}{r^2}=0\\\\2\pi r=\frac{100}{r^2}\\\\r^3=\frac{50}{\pi}\\\\r=(\frac{50}{\pi})^{1/3}[/tex]

Finally, you replace the previous result in the equation (1):

[tex]A=\pi (\frac{50}{\pi})^{2/3}+\frac{100}{(\frac{50}{\pi})^{1/3}}}[/tex]

[tex]A=59.63[/tex]

The minimum total surface area is 59.63cm^2

Answer:

D. 6 pounds

Step-by-step explanation:

$9.50-$5.00=$4.50; $4.50/$0.75= 6 pounds

Answer:

A - 1.50 pounds

Step-by-step explanation:

Answer:

If we have two functions g(x) and f(x)

I suppose that the functions here are:

f(x) = 2 - √(4*x)

g(x) = -3*x

First, let's analyze the functions:

g(x) as not any problem for any value of x, so the domain is the set of all the real numbers.

f(x) has a square root on it, and we know that the square root of a negative number is equal to a complex number, so here we can not have negative values of x.

The domain of f is D = x ∈ {0, ∞}

Then (gof)(x) = g(f(x)) = -3*(2 - √(4*x)) = -6 + 3*√(4*x)

We can see that g(x) does not have any problem, and the problems with f(x) remain there, so the domain of the composition is equal to the domain of f(x):

D =  x ∈ {0, ∞}

Answer:

You would basically expand all the equations!

1. 7(4z+8b) is equal to 28z+56b.

2. 8(2x+3^2) is equal to 16x+72

3. 4(r+r+r+r) is equal to 4r+4r+4r+4r

4. 9(3+8x) is equal to 27+72x

5. 4^2(3+6f) is equal to 48+96t

6. (t+t+t)/4 is equal to t/4+t/4+t/4

7. 2(4s^3+2) is equal to 8s^3+4

8. 30(3x+4) is equal to 90x+120

9. 6(5a+9b) is equal to 30a+54b

10. 9(3x+5^4) is equal to 27x+5625

11. 7(c+c+c) is equal to 7c+7c+7c

12. 9(2+7f) is equal to 18+63f

13. 7^5(4g-8d) is equal to 67228g-134456d

Step-by-step explanation:

Answer:

Its d [tex]x^{2} -6x+7=0[/tex]

Step-by-step explanation:

A= [tex]2+\sqrt{3\\}[/tex]

B= [tex]3\sqrt{2}[/tex]

C= [tex]-3+\sqrt{2}[/tex]

Answer:

D. x^2 - 6x + 7 = 0.

Step-by-step explanation:

The roots are 3 plus or minus sqrt(2). That means the equation is...

(x - [3 + sqrt(2)]) * (x - [3 - sqrt(2)])

= [x - 3 - sqrt(2)] * [x - 3 + sqrt(2)]

= x^2 - 3x - xsqrt(2) - 3x + 9 + 3sqrt(2) + xsqrt(2) - 3sqrt(2) - (sqrt(2))^2

= x^2 - 3x - 3x + 9 - 2 - xsqrt(2) + xsqrt(2) + 3sqrt(2) - 3sqrt(2)

= x^2 - 6x + 7.

Hope this helps!

Answer:

The answer is 2 1/5 miles.

Step-by-step explanation:

You have to multiply 5/9 with 4 since you are going around 4 times. You could also use addition which is 5/9 + 5/9 + 5/9 + 5/9.

Answer:

Hey there!

The person jogged a total of 20/9 miles.

Hope this helps :)

Answer:  see below

Step-by-step explanation:

1) An inequality is an equation that uses >, ≥, <, or ≤ instead of an equal sign.

Example:  3x + 2 ≥ 10

2) A compound inequality is when 2 inequalities are combined using either "and" or "or".  

Example:     x > -2  and  x < 4       rewrite as: -2 < x < 4

Graph:        -2 o-----------------o 4        one line segment between the #'s

Example:          x < -2 or x > 4

Graph:        ←-----------o -2    4 o----------→      two lines in opposite directions

3) The GPA is dependent on the number of hours she studies.

Independent: hours Beth studies

Dependent: GPA

Answer:

it's option b that is the right answer

Answer: y=3

Step-by-step explanation:

To solve the equation, we want to get the same terms onto the same side and solve.

y+3=-y+9                 [add y on both sides]

2y+3=9                    [subtract 3 on both sides]

2y=6                        [divide 2 on both sides]

y=3

Answer:

y=3

Step-by-step explanation: