Which of these is defined as a part of a line that is bounded by two end points?
ray
angle
point
line segment

Answer:

-3x + 6

Step-by-step explanation:

(2,-2) (9,-20)

Slope \(\frac{-20- - 2}{8-2}\) = \(\frac{-18}{6}\) = -3

y = mx + b

Use the slope -3 and the point (2,-2) to find the y intercept

m = -3

y = -2   From the point given

x = 2   From the point given

y = mx + b

-2 = -3(2) + b

-2 = -6 +b  Add six to both sides

4 = b

y = -3x + 4  We want to have y = 2  so we will add 2 to both sides

y + 2 = -3x + 4 + 2

y + 2 = -3x + 6

Answer:

b half an hour. 15 minutes × 2

Answer:

the answer Is B Guys remember

Circumference of circle is 2πr

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter. A circle's diameter is multiplied by to determine its circumference (pi). You can also determine the circumference by multiplying 2radius by pi (=3.14). How do you calculate a circle's circumference? The circle's radius is necessary to calculate the circumference: To calculate the diameter, multiply the radius by two. Divide the outcome by, or an estimate of 3.14. You have now successfully determined the circle's circumference.

Given,

Radius - r

Circumference of circle:

2πr

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A table or spreadsheet used to systematically evaluate options according to specific criteria is a decision matrix.

A decision matrix is a table or spreadsheet used to systematically evaluate options based on specific criteria. It is a tool commonly used in decision-making processes to objectively assess and compare different choices.

The decision matrix organizes the criteria in rows and the options in columns. Each cell in the matrix represents the evaluation or score of an option based on a particular criterion. The criteria can be weighted to reflect their relative importance in the decision-making process.

By filling out the decision matrix with scores or ratings for each option and criterion, a comprehensive evaluation can be performed. The matrix allows decision-makers to visualize and compare the performance of different options against the criteria, helping them make more informed and structured decisions.

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Answer:

131.2

Step-by-step explanation:

x/55=31/14

x=31/13*55

x=131.153846154

The radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

To find the radius of the silo, we need to determine the radius of the cylindrical section.

The volume of the cylindrical section can be calculated using the formula:

\(V_{cylinder} = \pi * r^2 * h\)

where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.

Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:

\(V_{cylinder} = \pi * r^2 * 30\)

To find the radius, we can rearrange the formula:

\(r^2 = V_{cylinder} / (\pi * 30)\)

Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:

\(r^2 = 10,000 / (\pi * 30)\)

Simplifying further:

\(r^2 = 106.103\)

Taking the square root of both sides, we find:

\(r = \sqrt{106.103} = 10.3\)

Therefore, the radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

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The values of x and y are 197° and 65°

Given,

Quadrilateral inscribed in circle.

Now,

Sum of all the internal angles of the quadrilateral is 360° and corresponding angles are supplementary that is there summation is 180°.

So,

Firstly,

(x-96°) + 79° = 180°

x = 197°

Secondly,

2y - 17° + 67° = 180°

y = 65°

Hence angles of quadrilateral can be found based on the properties of quadrilateral.

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Answer:

1) \(\sqrt{9}\) and \(\sqrt{16}\) (between 3 and 4)

Explanation: \(\sqrt{9}\) and \(\sqrt{16}\) are the closest WHOLE squares root to \(\sqrt{12}\); any other square roots wouldn't give us a whole number, or they're farther away from

2) \(-\sqrt{144}\) and \(-\sqrt{169}\) (between -(12) and -(13))

3) \(-\sqrt{36}\) and \(-\sqrt{49}\) (between -(6) and -(7))

Answer:

see explanation

Step-by-step explanation:

Consider perfect squares on either side of the radicand

(a)

9 < 12 < 16 , then

\(\sqrt{9}\) < \(\sqrt{12}\) < \(\sqrt{16}\) , so

3 < \(\sqrt{12}\) < 4

(b)

- 144 <  - \(\sqrt{158}\) < - 169

- \(\sqrt{144}\) < - \(\sqrt{158}\) < - \(\sqrt{169}\) , s0

- 12 < - \(\sqrt{158}\) < - 13

(c)

- 36 < - \(\sqrt{40}\) < - \(\sqrt{49}\) , so

- 6 < - \(\sqrt{40}\) < - 7

The answer would be 44.9 yard.

The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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The equation for the least-squares regression line for the given data and the average chance of admission for a student who scores a 305 on the GRE are options b) 51% (or 0.51).

To find the equation for the least-squares regression line, we need to first calculate the slope and y-intercept. Let x be the predictor variable (GRE score) and y be the response variable (admission chance). Then, we have:

n = 10 (number of data points)

Σx = 3100

Σy = 52.1

Σxy = 161750

Σx^2 = 96100

Σy^2 = 24.71

The slope, b, can be calculated as:

b = (nΣxy - ΣxΣy) / (nΣx^2 - Σx^2)

= (10(161750) - (3100)(52.1)) / (10(96100) - 3100^2)

= 0.0644

The y-intercept, a, can be calculated as:

a = (Σy - bΣx) / n

= (52.1 - (0.0644)(3100)) / 10

= 0.336

Therefore, the equation for the least-squares regression line is:

y = 0.0644x + 0.336

To find the average chance of admission for a student who scores a 305 on the GRE, we simply substitute x = 305 into the equation and solve for y:

y = 0.0644(305) + 0.336

= 0.5136

So the average chance of admission for a student who scores a 305 on the GRE is b) 51% (or 0.51).

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Interval estimation refers to the use of sample data to calculate a range of values that is believed to include the value of the population parameter.

Interval estimation in statistics is the calculation of the interval or set of values in which the parameter is. For example, the mean (mean) of the population is most likely to be located. The confidence coefficient is calculated by choosing intervals in which the parameter falls with a probability of 95 or 99 percent. Consequently, the intervals are referred to as confidence interval estimates. The formula for estimating an interval is, \( \mu = \bar x ± Z_{ \frac{\alpha}{2}}(\frac{\sigma}{\sqrt{n}})\)

Where, the confidence coefficient

The purpose of the interval estimate is to quantify the precision of the point estimate. So the desired answer is an interval estimate.

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Answer:

2.4*10^6

Step-by-step explanation:

R = x^2 / y

R = \(\frac{(3.8 * 10^5)^2}{(5.9*10^4)}\)

R = \(\frac{1.444*10^{11} }{5.9*10^{4} }\)

R= 2447457.627

to find out what to round of to , you look at the value of x and y

both x and y are rounded of to 2 significant figures. hence for R you should use the same

R = 2447457.627

R = 2.447457627 * 10^6

to 2 sf

R = 2.4 *10^6

Answer:

18

Step-by-step explanation:

cm  15   -> 14

hours  6   ->?

cm 15  x3->45

hours 6 x3->18

the 45 cm long candle is 3 times as long ,so it would burn for 3 times as long A 45cm long candle would burn for 18 hours

According to the angle, the length of the zip wire is approximately 27.27 meters.

In this case, we have a right-angled triangle, where one of the angles is 90 degrees, and the other angle is 10 degrees. The side opposite the 10-degree angle is the length of the zip wire, and the side adjacent to the 10-degree angle is half of the distance between the two posts.

To find the length of the zip wire, we can use the trigonometric function called the tangent. The tangent of an angle is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

So, we can write:

tan(10 degrees) = opposite/adjacent

where the opposite side is the length of the zip wire, and the adjacent side is half of the distance between the two posts, which is 12.5 meters.

Now, we can solve for the length of the zip wire:

opposite = tan(10 degrees) x adjacent

= tan(10 degrees) x 12.5

= 2.1818 (rounded to 4 decimal places) x 12.5

= 27.2727 (rounded to 4 decimal places) meters

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Complete Question:

A zip wire runs between two posts, 25 m apart. The zip wire is at an angle of 10° to the horizontal. Calculate the length of the zip wire.

Answer:

g(x) = 8x -15

Step-by-step explanation:

g(x) = 8(x-2) +1

      = 8x -16 +1

      = 8x -15

Answer:

Step-by-step explanation:

It would be the middle of the 6 and 5 because you go -4 plus to to the left and in half would be in the middle of that.

Answer:

D

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

using equivalent fractions:

40/50 = 80/100 = 80%

also since 50 is half of 100 (in other words 100%), you can just multiply 40 by 2 to get a number out of 100 which is your percentage

hope this helped :)

Answer:

A

Step-by-step explanation:

just substitute the x values on the table for x in the equation and check if the y in the table is the same answer you got when calculating!

A function assigns the values. The table can be represented by a function.

A function assigns the value of each element of one set to the other specific element of another set.

No, the number of videos kept on Ruby's friends' phones cannot be expressed as a function of the number of songs. A function produces a distinct result for each input. When the input is 125, we get two distinct results. As a result, the table does not represent a function.

Hence, the table can be represented by a function.

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Answer:

Step-by-step explanation:

This looks like Pythagorean theorem.

c=\(\sqrt{a^2+b^2}\)

c=\(\sqrt{2^2+4^2}\)

c=4.47 ~ round up~ c= 5

If 19,000=19% Then 100,000=100%

100,000-900=99,100

Answer: $99,100 was his salary last year

Answer:

Step-by-step explanation:

3 7/10 *7

37/10 *7

259/10

25.9 or 25 9/10

True. If p(x) is the Taylor series for f centered at 0, then p(x-1) is not the Taylor series for f centered at 1. Instead, to obtain the Taylor series for f centered at 1, you would need to compute a new series with the center shifted to 1.

True. Shifting the center of a Taylor series by adding or subtracting a constant simply results in a new Taylor series centered at the shifted point. In this case, we are shifting the center from 0 to 1 by replacing x with (x-1) in the Taylor series for f, resulting in p(x-1).
In mathematics, the Taylor series or Taylor expansion of a function is an infinite number of points defined by the function at one point. For most ordinary functions, the partial function and its Taylor series are equal at point. The first n + 1 terms of the Taylor series form an n-order polynomial called the nth-order Taylor polynomial function. Taylor polynomials are generally approximate for functions that get better as n increases. Taylor's theorem provides a quantitative estimate of the resulting error using this approach. If the series of Taylor functions converge, the sum is the limit of an infinite number of Taylor polynomials.

A function can diverge from the equation of the Taylor series even if the Taylor series converges. A function is the definition of a point x if it is equal to the sum of the Taylor series over an open interval (or opening in the complex plane) containing x. This means that transactions are resolved anywhere on the clock (or disk).

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Answer: go up 1 and over 5 for each point

Step-by-step explanation: because 1/5 is your slope and it’s rise over run

Answer:

In second step

6x-8 = 12+2x

5x = 20

x = 4

Step-by-step explanation:

Hope it helps you!

we have:

P(X > 6) < 0.0668

We can use the standard normal distribution to find probabilities for a normal distribution with mean u and standard deviation 2. Let Z = (X - u)/2 be the standard normal variable corresponding to X.

(A) Since f(6) > f(16), we have P(X < 6) > P(X < 16). Using the standard normal distribution, we can write this as:

P(Z < (6 - u)/2) > P(Z < (16 - u)/2)

Multiplying both sides by -1 and using the symmetry of the standard normal distribution, we get:

P(Z > (u - 6)/2) < P(Z > (u - 16)/2)

Looking up the standard normal distribution table, we can find the values of the right-hand side probabilities for different values of the argument. For example, if we use a table with z-scores and look up the probability corresponding to z = 1.5, we find that P(Z > 1.5) = 0.0668 (rounded to four decimal places).

Therefore, we have:

P(X > 6) < 0.0668

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The specific form of the function G(t) and the limits of integration would depend on the available data or assumptions about gas consumption during the specified months.

To express the average monthly U.S. gas consumption during the part of the year between the beginning of April and the end of September, we can set up an integral to calculate the average value of a function over a specific interval.

Let's denote the gas consumption as a function of time, G(t), where t represents the months from April to September. We'll integrate this function over the interval [April, September] to find the average gas consumption.

The integral that represents the average monthly U.S. gas consumption is:

(1 / (September - April)) ∫[April, September] G(t) dt

In this integral, G(t) represents the gas consumption in a given month, and the integration is taken over the interval from April to September. The average gas consumption is obtained by dividing the integral by the length of the interval (September - April).

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