The sum of the interior angles of a polygon with 10 sides be expressed as 360n. What is the value of n?

Answer: y=\(\frac{3x}{2}\)+6

Step-by-step explanation:

isolate y by dividing both sides by 2

y=3x+12/2

y=\(\frac{3x+12}{2}\)

y=\(\frac{3x}{2}\)+6

a) 40 miles of ribbon can be made

b) 64 miles of ribbon can be made

We know that the term function has to do with a mathematical model. We can use the function for the purpose of prediction just as we do in this problem that we have here.

a) In the first instance, a machine can make 5 miles of ribbon in an hour. We have said that the amount of the ribbon should be r and the hours should be x. We now have;

r =5x

After eight hours we have

r = 5(8)

r = 40 miles

b) If it makes 8 miles of ribbon in an hour;

r = 8x

r = 8(8)

r = 64 miles

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Answer:

at least 8 gallons

Step-by-step explanation:

Yes, the given statement is true.

That is, developing and/or maintaining a data analysis codebook is useful in both quantitative and qualitative analysis.

Here,

Quantitative analysis;

Utilizing computational and statistical techniques, quantitative data analysis focuses on the statistical, mathematical, or numerical study of datasets.

Qualitative analysis;

The determination of non-numerical information about a chemical species, a reaction, etc. is known as qualitative analysis.

Codebook;

A codebook provides information on a data collection's composition, organization, and design. For each variable in a data file, a well-documented codebook "contains information designed to be comprehensive and self-explanatory."

That is,

The developing and/or maintaining a data analysis codebook is useful in both quantitative and qualitative analysis.

So, the statement is true.

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\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

The statement which proves ABCD is a parallelogram is :

We have to predict if these elements will float or will sink in water.

An element will sink in water if its density (its mass per unit of volume) is greater that the density of water. If it is not, it will float.

Then, we can predict that the heavier objects will sink and lighter objects will float:

Marbles: Sink

Oil: Float

Aluminium foil: Float

Eraser: Float.

Answer:

Adam's thinking is not correct.

When subtracting 10 from 708, we need to borrow 1 from the hundreds digit and add it to the tens digit. This will result in a new hundreds digit of 6 and a new tens digit of 9. The ones digit remains the same. Therefore, the correct answer would be 698.

Adam's answer is also 698, but his reasoning is incorrect. He thinks that both the tens and hundreds digits change, which is not the case. In reality, only the tens digit changes while the hundreds digit decreases by 1 due to the borrowing process.

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The statement best explains the relationship between lines CD and FG is option (B) they are perpendicular because their slopes are negative reciprocals is the correct answer.

The equation of a line means an equation in x and y whose solution set is a line in the (x,y) plane. The standard form of equation of a line is ax + by + c = 0. Here a, b, are the coefficients, x, y are the variables, and c is the constant term.

For the given situation,

The equation of line is

\((y-y1)=(\frac{y2-y2}{x2-x1} )(x-x1)\)

Line C D has points (x1,y1) is ( -2, 4) and (x2,y2) is (0, -4).

So the line CD is

⇒ \((y-4)=(\frac{-4-4}{0-(-2)} )(x-(-2))\)

⇒ \((y-4)=(\frac{-8}{2} )(x+2)\)

⇒ \((y-4)=-4(x+2) --------- (1)\)

The general equation of line in slope intercept form is

\(y=mx+c\)

Here , \(m1=-4\)

Line F G has points (x1,y1) is ( -4, 0) and (x2,y2) is (4, 2).

So the line FG is

⇒ \((y-0)=(\frac{2-0}{4-(-4)} )(x-(-4))\)

⇒ \(y=(\frac{2}{8} )(x+4)\)

⇒ \(y=\frac{1}{4} (x+4)\)

Here \(m2=\frac{1}{4}\)

Thus the slope, \(-m1=\frac{1}{m2}\)

Hence we can conclude that the statement best explains the relationship between lines CD and FG is option (B) they are perpendicular because their slopes are negative reciprocals is the correct answer.

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Answer:

Its B!!!

Step-by-step explanation:

Answer:

  it depends

Step-by-step explanation:

The required tools are a compass and straightedge. A pencil or other drawing tool will also be useful (or you can use the marker in the compass).

__

Generally, follow the applicable directions. The specific directions vary, depending on the construction you want to do. Numerous web sites and videos can show you step-by-step. (Search for "construction of ...") for whatever you're trying to construct.

__

To construct a circle (or part of a circle), set the compass to the appropriate width, place the pointed end on the center of the circle, and rotate the marker in a circle around that point, taking care to ...

To construct a line through two points, align the edge of the straightedge with the two points, and make a mark along that edge using your marking tool. (You may find that you need to make a slight adjustment in your alignment to account for the width of the marker).

All other constructions use combinations of these skills.

Answer:

83

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

(-5+7)[(-7-2)-4](-3)+5

(2)[(-9)-4](-3)+5

(2)(-13)(-3)+5

(-26)(-3)+5

78+5

83

Total number of possible outcomes:

Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957

Number of ways to choose 1 number from 49: 49

Total number of possible outcomes = 22,957 * 49 = 1,128,593

Number of favorable outcomes:

Number of ways to choose 1 number from 49: 1

Number of favorable outcomes = 1

Probability of winning the minimum award:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%

The correct statement regarding the residual in this problem is given as follows:

2.66; The line of best fit underpredicts the temperature change.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

For a rain amount of 0.4 inches, the predicted temperature change is given as follows:

y = -1.4 x 0.4 + 0.2

y = -0.36.

Then the residual is given as follows:

R = 2.3 - (-0.36)

R = 2.66 -> underpredicts the change.

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Answer:

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sofiapenaloza

05/31/2023

Mathematics

College

answered • expert verified

The equation for the line of best fit for change in temperature, y, to amount of rain, r, is given by ŷ = − 1.4r + 0.2. On Monday, the observed amount of rain was 0.4 inches and the temperature change was 2.3 degrees. Find and interpret the residual.

2.66; The line of best fit overpredicts the temperature change.

2.66; The line of best fit underpredicts the temperature change.

1.94; The line of best fit underpredicts the temperature change.

−1.94; The line of best fit overpredicts the temperature change.

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joaobezerra

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31.3K answers

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The correct statement regarding the residual in this problem is given as follows:

2.66; The line of best fit underpredicts the temperature change.

What are residuals?

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

For a rain amount of 0.4 inches, the predicted temperature change is given as follows:

y = -1.4 x 0.4 + 0.2

y = -0.36.

Then the residual is given as follows:

R = 2.3 - (-0.36)

R = 2.66 -> underpredicts the change.

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Step-by-step explanation:

Answer:

k=20

remainder=34

Step-by-step explanation:

The table that represents exponential growth is the second table.. The second column is labeled y with entries 2, 4, 6, 8. A 2-column table has 4 rows.

Exponential growth simply means a process that increases quantity over time. It occurs when the instantaneous rate of change of a quantity with respect to time is proportional to the quantity itself.

Exponential growth is the pattern of data which shows sharper increases over time. In finance, compounding creates exponential returns and the savings accounts with a compounding interest rate can show exponential growth.

In this case, the second table described represents an exponential function. It has a common ratio of 4, meaning that each y-value is multiplied by 4 to get to the next value. Here, every time the X's increase by 1, the Ys increase by a multiple of 4.

One of the best examples of exponential growth is observed in bacteria. Here, it takes bacteria roughly an hour to reproduce through prokaryotic fission. This illustrates exponential growth.

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The solution is given below.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Remember that the Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

According to this, the correct answer is: given below.

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Answer:

0

Step-by-step explanation:

x² + 26 = 0 ( subtract 26 from both sides )

x² = - 26 ( take square root of both sides )

x = ± \(\sqrt{-26}\)

\(\sqrt{-26}\) ← has no real solutions

Answer:

0

Step-by-step explanation:

Look above goofy, have a good day!

No. We cannot always use synthetic divison to divide polynomials.

Synthetic division can only be used to divide polynomials if the degree of the denominator is  equal to one.

Synthetic division is only used for a linear factor of the denominator.

When the degree of the denominator is greater than one, we can use long division.

So, we cannot always use synthetic division for dividing polynomials

Therefore, no. We cannot always use synthetic divison to divide polynomials.

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Answer:

c

Step-by-step explanation:

I took the test and got a 4/5

Answer:

(-4)^5x(-5)^5=

Step-by-step explanation:

The amount of Duane's first payment that goes to interest is approximately $26.47.

To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.

The formula to calculate the interest portion of a loan payment is:

Interest = Remaining Balance * Monthly Interest Rate.

Let's calculate the interest for the first payment using the given information:

Loan Amount = $5,000.00

Monthly Payment = $118.57

First, we need to calculate the monthly interest rate:

Monthly Interest Rate = Annual Interest Rate / 12

= 6.5% / 12

= 0.00542

Next, we need to calculate the remaining balance after the first payment:

Remaining Balance = Loan Amount - Principal Paid

= $5,000.00 - $118.57

= $4,881.43

Finally, we can calculate the interest portion of the first payment:

Interest = Remaining Balance * Monthly Interest Rate

= $4,881.43 * 0.00542

= $26.47

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Answer:

Subtract 58388383 - 776463783

Answer:

b = 45 / 4 = 11 1 /4.

Step-by-step explanation:

We are dealing with a (30,60,90)-triangle, therefore z = 15 sqrt(3) / 2. So as well b = (15 sqrt(3) / 2) sqrt(3) / 2 = 45 / 4.

Answer:

3 (or 3.0)

Step-by-step explanation:

The formula for the volume of a cylinder is \(v=\pi r^2h\) where \(v\) is the volume, \(r\) is the radius, and \(h\) is the height. We know the height is 7 inches and the volume of 63pi cubic inches, so plugging in gives:

\(63\pi=\pi r^2\cdot 7\).

Dividing by \(7\pi\) on both sides gives

\(r^2=9\),

and simplifying and taking the positive root leaves \(r=3\).

Answer:

I think the answer will be:- m = \(-\frac{5}{3}\)

Answer:

118°

Step-by-step explanation:

13 apples for 2 pies.

The unit rates.

13 apples = 2 pies

or, 1 pie = 13/2 = 6.5 apples

Option a. 6.5 apples per pie.

Answer:

3.88 Pints

Step-by-step explanation:

First we need to find the amount of blue paint that was used. We can do that by multiplying 9.7 by 0.60 since that is 3/5 in decimal form

\(9.7*0.60=5.82\)

Now we know how much blue paint was used, now we just need to find how much white paint was used. We can do that by subtracting our amount of blue paint from the total amount of paint used

\(9.7-5.82=3.88\)

thus, 3.88 is the amount of white paint used

The fraction of money receive by Curtly is 7/24.

For the given values in question;

Fraction of money received by Asif = 3/8.

Fraction of money received by Barbara = 1/3

The total sum will be 1.

Then, fraction of money received by Curtly is;

1 - 3/8 - 1/3

Taking LCM;

(24 - 8 - 9) /24

7/24

Thus, the fraction of money received by Curtly is 7/24.

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Answer:

We need to find the first term.  We can use the formula

an = a1 + d(n - 1)

to solve for a1.  We already know the 12th term, a12, common difference, d, and nth sequence, n.

a12 = -36

d = -4

n = 12

-36 = a1 - 4(12 - 1)

-36 = a1 - 44

8 = a1

The first term is 8.  Therefore, your formula is

an = 8 - 4(n - 1)

an = -4n + 12

Then use this formula to graph.

n is the independent variable.

an is the dependent variable.

Your graph will be a line.

n    |       an

___________

1          8

2          4

3          0

4         -4

5         -8

6         -12

Step-by-step explanation:

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Answer:

26.8°

Step-by-step explanation:

You find the supplementary angle by 180° - 153.2° = 26.8°