om the entire photo there is the info but i only need the answer to question B. Any of the writing inside the blue box is the answer that i have given so far but the answer can be from scratch or added to it. NEED ANSWER ASAP
TY​

Om The Entire Photo There Is The Info But I Only Need The Answer To Question B. Any Of The Writing Inside

Answers

Answer 1

The angle XBC is 55° due to Corresponding relationship while BXC is 70°

Working out angles

XBC = 55° (Corresponding angles are equal)

To obtain BXC:

XBC = XCB = 55° (2 sides of an isosceles triangle )

BXC + XBC + XCB = 180° (Sum of angles in a triangle)

BXC + 55 + 55 = 180

BXC + 110 = 180

BXC = 180 - 110

BXC = 70°

Therefore, the value of angle BXC is 70°

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Related Questions

helppp!! ill give 100 points

helppp!! ill give 100 points

Answers

The two-way relative frequency table should look like

                          play a sport            Not play a sport           Total

Honor Roll             10%                       10%                             20%

Not Honor Roll     30%                      50%                              80%

Total                      40%                       60%                              100%

What is a two-way relative frequency table?

A two-way relative frequency table is a table that shows the relative frequency distribution of two category variables.

The table tells us how frequent each the combination of  categories for the two variables happens  when we look at the total percentage.  

Looking at the table, we were total that only 20% of the student surveyed are on the honor roll, and we were also told that  10% of student survey play sport and are in the honor roll. This means that additional 10% of student that don't play sport are on the honor roll too.

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J PLS HELP 8 MINUTES LEFT Ted Thumper, who bats at number eight, had an average (mean) of 14 last year. So far this year he has had these scores.
20,0,14,19,26,12,14,23,7

What is Jed's average this season so far?

What are the total runs Jed would need to get in his next three innings to get his average up to 16?

Answers

Answer:

answer is 15 and second one i dont know yet sorry am doing scoo

Step-by-step explanation:

what is the scale of 40 cm and 15 mm

Answers

The scale of 40 cm and 15 mm will be 80 mm : 3 mm

What is Scale Drawing?

A scale drawing is an enlargement of an object. An enlargement changes the size of an object by multiplying each of the lengths by a scale factor to make it larger or smaller. The scale of a drawing is usually stated as a ratio.

If we were to create a real size map of a house it would be a HUGE map. We wouldn't be able to grab it using our hands, and it wouldn't be useful either. The idea of a map is to have a diagrammatic representation of something.

scale of 40 cm and 15 mm

converting 40 cm to mm

40 x 10 mm = 400 mm

400 mm : 15 mm

Dividing through by 5

80 mm : 3 mm

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let f(x y)=1+sqrt(4-y^2)
-evaluate f(3, 1)
-find and sketch the domain of f
-find the range of f

Answers

Refer to the attached graph for the function's range and domain.

To evaluate f(3, 1), we substitute x = 3 and y = 1 into the function:

f(3, 1) = 1 + √(4 - 1²) = 1 + √(3) = 2.732

To find the domain of f, we need to identify any restrictions on the possible values of x and y that would make the function undefined.

Here, the only restriction is on the value of y since the square root is undefined for negative values.

Therefore, the domain of f is all points (x, y) where 4 - y² ≥ 0, or y² ≤ 4. This is the region between the vertical lines y = -2 and y = 2, inclusive.

To find the range of f, we need to determine the possible values of f(x, y) as (x, y) varies over the domain of f.

Since the square root term is always non-negative, the minimum value of f(x, y) is 1, which occurs when y = ±2.

To find the maximum value, we need to maximize the expression 1 + sqrt(4 - y²) subject to the constraint y² ≤ 4.

Using calculus, we can find that this occurs when y = 0, giving a maximum value of f(x, y) = 3. Therefore, the range of f is [1, 3].

To sketch the domain, we can draw the vertical lines y = -2 and y = 2 and shade the region between them, including the lines. This gives a horizontal strip centered at x = 0 and extends infinitely in both directions.

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let f(x y)=1+sqrt(4-y^2)-evaluate f(3, 1)-find and sketch the domain of f-find the range of f

2. If h(x) = 5x - 7 , for what value of x is h(x) = 23

Answers

Answer:

x=6

Step-by-step explanation:

5x-7=23

5x-7 +7=23+7

5x=30

30/5=6

x=6

Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A sampling distribution is normal only if the population is normal. Choose the correct answer below. A. The statement is true. B. The statement is false. A sampling distribution is normal only if n≥30. C. The statement is false. A sampling distribution is normal if either n≥30 or the population. D. The statement is false. A sampling distribution is never normal.

Answers

A sampling distribution is normal only if the population is normal. This  statement is false because A sampling distribution is normal only if n≥30.

If the underlying population is normally distributed, the sampling distribution (such as the sample mean distribution, also known as the xbar distribution) is also normally distributed. Even though the population is not normally distributed, the x(bar) distribution is approximately normal if n > 30, due to the central limit theorem. Some textbooks may use values ​​above 30, but after a certain threshold the x(bar) distribution is effectively "normal".

Option B is close, but misses the normal population part. n > 30 is not necessary if we know the population is normal.

A sampling distribution is the probability distribution of a statistic obtained from a large number of samples drawn from a particular population. The sampling distribution for a given population is the frequency distribution of a range of different outcomes that can occur in the population.

In statistics, a population is the entire basin from which a statistical sample is drawn. A population can refer to an entire population of people, objects, events, hospital visits, or measurements. Thus, a population can be said to be a global observation of subjects grouped by common characteristics.

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need help finding the letter u

need help finding the letter u

Answers

In the given diagram, ΔHIJ ≈ ΔFIG, the value of u in triangle FIG is calculated as: IG = 8 yd

What is a triangle?

A triangle is a geometric shape that is formed by three line segments that intersect at three non-collinear points. The three line segments are called the sides of the triangle, while the three points where they intersect are called the vertices of the triangle.

A triangle is a three-sided polygon formed by three line segments intersecting at three non-collinear points, and it can be classified based on the length of its sides and the measure of its angles.

∆HIJ similar to ∆FIG

HI/FI = IJ/IG

5/10 = 4/IG

IG = 8 yd

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In the given diagram, ΔHIJ ≈ ΔFIG, the value of u in triangle FIG is calculated as: IG = 8 yd

What is a triangle?

A triangle is a geometric shape that is formed by three line segments that intersect at three non-collinear points. The three line segments are called the sides of the triangle, while the three points where they intersect are called the vertices of the triangle.

A triangle is a three-sided polygon formed by three line segments intersecting at three non-collinear points, and it can be classified based on the length of its sides and the measure of its angles.

∆HIJ similar to ∆FIG
HI/FI = IJ/IG
5/10 = 4/IG
IG = 8 yd

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I WILL GIVE BRAINLIEST PLZ ANSWER, RUNNING OUT OF TIME!!!

I WILL GIVE BRAINLIEST PLZ ANSWER, RUNNING OUT OF TIME!!!

Answers

Answer:

\(inrease \: = 900 - 250 = 650 \\ persent = \frac{650}{250} \times 100 \\ = 65 \times 4 = 260\)

The weight of a diamond is measured in carats. A random sample of 18 diamonds in a retail store had a mean weight of 1 = 1.08 carats. It is reasonable to assume that the population of diamond weights is approximately normal with population standard deviation o = 0.12 carats. Is it appropriate to use the methods of this section to construct a confidence interval for the mean weight of diamonds at this store? a) Construct a 90% confidence interval for the population mean diamond weight

Answers

The 90% confidence interval for the population mean weight of diamond is (1.0334, 1.1265)

To construct a 90% confidence interval for the population mean diamond weight, we use the formula defined thus :

(mean - 1.645 * standard deviation / √(sample size), mean + 1.645 * standard deviation / √(sample size))

mean = 1.08

standard deviation = 0.12 carats

sample size = 18.

Plugging these values into the formula, we get the following confidence interval:

(1.08 - 1.645 * 0.12 / √(18); 1.08 + 1.645 * 0.12 / √(18))

confidence interval = (1.0334, 1.1265)

Therefore, the 90% confidence interval is (1.0334, 1.1265)

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Members at a popular fitness club currently pay $40 per month to be a member of the club. The owner of the increa 95% $50. club wants to raise the fee to $50 but is concerned that some members will quit if the fee ses. To investigate, the owner plans to survey a random sample of the members and construct a confidence interval for the proportion of all members who would quit if the fee was increased to

(a) Explain the meaning of "95% confidence" in the context of the study.

(b) After the owner conducted the survey, he calculated the confidence interval to be 0.18 0.075 Interpret this interval in the context of the study.

(c) According to the club's accountant, the fee increase will be worthwhile if fewer than 20% of the members quit. According to the interval from part (b), can the owner be confident that the fee increase will be worthwhile? Explain.

(d) One of the conditions for calculating the confidence interval in part (b) is that and. Explain why it is necessary to check this condition.

Answers

a) The meaning of "95% confidence" in the context of the study is:

If they did many samples with the same method, they would expect 95% of them to be within the interval of proportion who will quit.

b) The Interpretation of this interval in the context of the study is:

We are 95% confident that the interval from 0.105 to 0.255 includes the actual proportion of all members who will quit.

c) No, the owner cannot be confident that the fee increase will be worthwhile because not all of the interval is below 0.2 and as such it is possible that more than 20% would quit.

d) It is necessary to check this condition because this condition tells us that the sample has a distribution that is approximately normal allowing us to perform calculations if the distribution is not approximately normal, we can't calculate the z-critical value.

How to Interpret the confidence Interval?

A confidence interval in statistics refers to the probability that a population parameter falls between a set of values ​​over a specified period of time. Analysts often use confidence intervals that span 95% or 99% of the expected observations.

A confidence interval in statistics refers to the probability that a population parameter falls between a set of values ​​over a specified period of time. Analysts often use confidence intervals that include 95% or 99% of the expected observed values.

a) The meaning of "95% confidence" in the context of the study is:

If they did many samples with the same method, they would expect 95% of them to be within the interval of proportion who will quit.

b) The Interpretation of this interval in the context of the study is:

We are 95% confident that the interval from 0.105 to 0.255 includes the actual proportion of all members who will quit.

c) No, the owner cannot be confident that the fee increase will be worthwhile because not all of the interval is below 0.2 and as such it is possible that more than 20% would quit.

d) It is necessary to check this condition because this condition tells us that the sample has a distribution that is approximately normal allowing us to perform calculations if the distribution is not approximately normal, we can't calculate the z-critical value.

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if a test has a standard deviation of 20 and a reliability of .90, what is the standard error of measurement?

Answers

The standard error of this measurement is 6.32

How to determine the standard error of measurement?

The standard error of measurement is simply the estimate of how repeated measures of an entity on the same instrument tend to be distributed around the entity' “true” score.

In this case, we have the following parameters

Standard deviation = 20

Reliability = 0.90

The standard error of measurement from the standard deviation and the reliability is calculated using the following formula

Standard error of measurement = Standard deviation * √1 - reliability

Substitute the known values in the above equation, so, we have the following representation

Standard error of measurement = 20 * √1 - 0.90

This gives

Standard error of measurement = 20 * √0.10

Evaluate

Standard error of measurement = 6.32

Hence, the standard error in this case is 6.32

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What is the slope of the line??? Please help!

What is the slope of the line??? Please help!

Answers

Answer:

slope is 1

Step-by-step explanation:

Find the probability of drawing a spade or a red card from a
standard deck of cards.
a 1/7
b 3/4
c 1/52
d 1/8

Answers

the probability of drawing a spade or a red card from a standard deck of cards is 3/4. The answer is option b.

To find the probability of drawing a spade or a red card from a standard deck of cards, we need to determine the number of favorable outcomes (spades and red cards) and the total number of possible outcomes (all cards in the deck).

In a standard deck of cards, there are 52 cards in total, with 13 cards in each of the four suits (spades, hearts, diamonds, and clubs). Among these, there are 26 red cards (hearts and diamonds) and 13 spades.

To find the probability, we add the number of favorable outcomes (spades and red cards) and divide it by the total number of possible outcomes (52):

P(spade or red card) = (13 + 26) / 52

                     = 39 / 52

                     = 3 / 4

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A truck holds 48,000 pounds of sand.
How many tons are in 48,000 pounds?

Answers

Answer:

24

Step-by-step explanation:

dont exaclty have an explanations - its just the calculations

Please solve this smart pole

Answers

Answer:

What’s the question?

Step-by-step explanation:

A 5 kg box is sliding up a 10 degree ramp at 5 m/s. If the frictional coefficient between the box and the ramp is 0.2, how far will the box slide?

Answers

the box will slide approximately 12.56 meters up the ramp.

To determine how far the box will slide up the ramp, we need to consider the forces acting on the box.

Given:

Mass of the box (m) = 5 kg

Initial velocity of the box (v) = 5 m/s

Angle of the ramp (θ) = 10 degrees

Frictional coefficient (μ) = 0.2

We can break down the forces acting on the box into components parallel and perpendicular to the ramp:

1. Force parallel to the ramp (F_parallel):

F_parallel = m * g * sin(θ)

where g is the acceleration due to gravity (9.8 m/s^2).

2. Force perpendicular to the ramp (F_perpendicular):

F_perpendicular = m * g * cos(θ)

Next, we calculate the frictional force (F_friction):

F_friction = μ * F_perpendicular

Since the box is sliding up the ramp, the net force acting on the box in the direction of motion is given by:

Net force = F_parallel - F_friction

Using Newton's second law of motion, we have:

Net force = m * acceleration

Solving for the acceleration:

acceleration = Net force / m

Since the box is sliding up the ramp, the acceleration is negative.

Using the equations above, we can calculate the acceleration of the box.

F_parallel = 5 kg * 9.8 m/s² * sin(10 degrees) ≈ 8.504 N

F_perpendicular = 5 kg * 9.8 m/s² * cos(10 degrees) ≈ 47.489 N

F_friction = 0.2 * 47.489 N ≈ 9.498 N

Net force = 8.504 N - 9.498 N ≈ -0.994 N

acceleration = (-0.994 N) / 5 kg ≈ -0.199 m/s²

Next, we can use the kinematic equation to determine the distance the box will slide up the ramp:

v² = u² + 2as

Since the box is starting from rest (u = 0), the equation simplifies to:

v² = 2as

Solving for s (distance):

s = (v²) / (2 * |acceleration|)

s = (5 m/s)² / (2 * 0.199 m/s²) ≈ 12.56 m

Therefore, the box will slide approximately 12.56 meters up the ramp.

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Urgent! Please help fast! Estimate using mental math: 903.6 ÷ 29.1. Show how you would estimate mentally, then show your estimated answer.

Answers

Answer:

31

Step-by-step explanation:

I would use my fingers mostly.

But, I just do it normally. I pretend I'm using a sheet of paper then I write on it for the equation.

903.6 divided by 29.1

Then I estimate it because I know that 29.1 can go into 903.6 about 31 times. Then I multiply 31 and 29.1 and i get around 903.6.

I hope this helps. I'm sorry if you get this wrong.

Answer:

30

Step-by-step explanation:

Round 903.6 to 900 and 29.1 to 30

So 900/30

= 30

This would be my estimated answer

Also 30^2

= 900

You have monthly data on the price of bitcoin. You are considering buying $1,000 worth of bitcoins and want to estimate how much your investment will be worth in the future. (Note that you can buy fractions of a bitcoin Based on this data sample, what is the average monthly growth rate in the price of bitcoin? What is the standard deviation of the monthly growth observations?

Answers

Based on the monthly data on the price of bitcoin, the average monthly growth rate can be calculated by taking the difference in price from the previous month and dividing it by the previous month's price. Using the average monthly growth rate, you can estimate the future value of your $1,000 Bitcoin investment.

Once this is done for each month, the resulting growth rates can be averaged to find the average monthly growth rate. As for the standard deviation of the monthly growth observations, this can be calculated using a statistical software or a calculator that has the capability to perform statistical calculations. Without the actual data, it is not possible to provide an exact answer to the question. However, it is important to note that investing in bitcoin can be volatile and unpredictable, so it is important to do thorough research and understand the potential risks before making any investment decisions. To estimate the average monthly growth rate and standard deviation of your Bitcoin investment, follow these steps:
1. Compile the monthly price data for Bitcoin.
2. Calculate the monthly growth rate for each month by using the formula: (Current Month Price - Previous Month Price) / Previous Month Price.
3. Add up all the monthly growth rates and divide the sum by the number of months in your data sample. This will give you the average monthly growth rate for Bitcoin.
4. To calculate the standard deviation, first find the variance. Subtract the average monthly growth rate from each individual growth rate, square the result, and find the average of these squared differences.
5. Finally, take the square root of the variance to get the standard deviation.

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Please help!! Rhombus LMNO is shown with its diagonals. The length of LN is 30 centimeters. What is the length of LP?

A.) 14
B.) 15
C.) 20
D.) 30

Please help!! Rhombus LMNO is shown with its diagonals. The length of LN is 30 centimeters. What is the

Answers

Answer:

The correct answer to the following question will be Option B (15).

Step-by-step explanation:

The given values is:

LN = 30 cm

Although the diagonals of that same rhombus bisects or bend one another, this implies that P seems to be the midpoint of both the LN.

So that,

⇒  \(LP=\frac{1}{2}\times LN\)

On putting the estimated value, we get

⇒        \(=\frac{1}{2}\times 30\)

⇒        \(=15\)

Therefore, Option B seems to be the appropriate one.

3) A lottery ticket says that the chances of winning are 1 in 8. Suppose you buy 10 of these lottery tickets. Find the probability that at least one of them will be a winner

Answers

The probability of at least one of your 10 lottery tickets being a winner is approximately 0.638 or 63.8%.

The probability of winning on a single lottery ticket is 1/8, which means that the probability of not winning is 7/8. If you buy 10 of these lottery tickets, the probability of not winning on any of them is:

(7/8)^10 = 0.362

This means that there is a 36.2% chance that none of your tickets will be a winner. To find the probability that at least one of your tickets will be a winner, we can use the complementary probability:

P(at least one winner) = 1 - P(no winners)

P(at least one winner) = 1 - 0.362

P(at least one winner) = 0.638

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Consider the curve by …x

Consider the curve by x

Answers

Refer to the attached image
Consider the curve by x

She writes the expression (0.2) (14). Which change in Mikel's expression will lead her to the correct answer? The 14 in the expression could be changed to 28. The 0.2 in the expression could be changed to 0.4. The 14 in the expression could be changed to 70. The 0.2 in the expression could be changed to 2.

Answers

Complete question :

Mikel creates the table below to help her determine 40% of 70. She writes the expression Which change in Mikel’s expression will lead her to the correct answer?

Corresponding chart for the problem is attached below.

Answer:

The 0.2 in the expression could be changed to 2.

Step-by-step explanation:

40% of 70

Directly working this out, we obtain :

0.4 * 70 = 28

From the table :

To obtain same from the columns, 0.2 is adjusted to 2.

Hence, 2 * 14 = 28

She writes the expression (0.2) (14). Which change in Mikel's expression will lead her to the correct

Solve the absolute value equation below.
-5 |3 + 4k| =-115

Answers

Answer:

-2k

Step-by-step explanation:

Answer:

5

To find:

k

Step-by-step explanation:

-5 (3 + 4k) = -115

-5 × 3 + -5 × 4k = -115

-15 - 20k = -115

-20k = -115 + 15

-20k = -100

k = -100/-20

k = 5

hope you understood:))

refer to the above graph. the long-run aggregate supply curve would be represented by which line?

Answers

Therefore, the long-run aggregate supply curve is a vertical line that is not influenced by changes in aggregate demand or short-run economic conditions.

The long-run aggregate supply curve is represented by the vertical line at the potential output level, which indicates that in the long run, the economy will produce at its full capacity without any increase in inflation or decrease in unemployment.

In other words, the long-run aggregate supply curve is not affected by temporary fluctuations in prices or output levels, and instead represents the economy's natural rate of output in the absence of any short-term disturbances. Therefore, the long-run aggregate supply curve is a vertical line that is not influenced by changes in aggregate demand or short-run economic conditions.

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91) __________ involves the analysis of accumulated data and involves a __________. a) OLAP, database b) OLAP, data warehouse c) OLTP, database d) OLTP, data warehouse

Answers

OLAP is used for the analysis of accumulated data, and it requires a data warehouse.

while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.

In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.

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.

A company manufactures mountain bikes. The research department produced the marginal cost function, C'(x)=500-x/3, x is greater than or equal to 0 and less than or equal to 900, where C'(x) is in dollars and x is the number of bikes produced per month. Compute the increase in cost going from a production level of 0 bikes per month to 600 bikes per month. Set up a definite integral and evaluate it.

Answers

The increase in cost going from a production level of 0 bikes per month to 600 bikes per month, based on the marginal cost function C'(x) = 500 - x/3, can be evaluated using a definite integral. The increase in cost is $116,700.

To find the increase in cost, we need to integrate the marginal cost function over the interval [0, 600]. The integral represents the cumulative cost increase from 0 to 600 bikes per month.

∫(0 to 600) (500 - x/3) dx

Evaluating this integral:

= [500x - (1/6)x^2] evaluated from 0 to 600

= (500*600 - (1/6)*(600^2)) - (500*0 - (1/6)*(0^2))

= (300,000 - 60,000) - (0 - 0)

= 240,000

Therefore, the increase in cost is $116,700.


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What is the value of x

What is the value of x

Answers

Answer:

180-45=135

2x-5=135

2x=140

x=70

Step-by-step explanation:

If the radius of sphere B is five times the radius of sphere A, then the ratio of the volume of sphere B to the volume of sphere A isSelect one:A. 0.008B. 25C. 125D. 5E. 0.2

Answers

The ratio of the volume of sphere B to the volume of sphere A is (C) 125 if the radius of sphere B is five times that of sphere A.

The correct option is (C)

What is sphere?

A sphere is a three-dimensional object that is round in shape. The sphere is defined in three axes, i.e., x-axis, y-axis and z-axis. This is the main difference between circle and sphere. A sphere does not have any edges or vertices, like other 3D shapes.

The points on the surface of the sphere are equidistant from the center. Hence, the distance between the center and the surface of the sphere are equal at any point. This distance is called the radius of the sphere. Examples of spheres are a ball, a globe, the planets, etc.

Let's take the 2 radii:

x where x is 5.

5x where 5x is 25.

Now, calculate the volume of the sphere in both cases.

We know,

Formula of volume of sphere :

V = 4/3πr²

Where r = 5.

V = 4/3πr²

V = 523.59878

Round off: 524 units²

Where r = 25.

V = 4/3πr²

V = 65449.84695

Rounding off: 65450 units²

Now, divide to find the ratio:

65450/524 = 124.90

Rounding off: 125

Therefore, the ratio of the volume of sphere B to the volume of sphere A is (C) 125 if the radius of sphere B is five times that of sphere A.

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For which segment is B a midpoint?

For which segment is B a midpoint?

Answers

Answer:

AC with endpoints at A(1; -1) and C(5; 3)

3rd one down I think

let f(t)f(t) be the number of us billionaires in year tt. in 1985 there were 13 us billionaires, and in 1990 there were 99 us billionaires. assuming the yearly increase remains constant, find a formula predicting the number of us billionaires in year tt.

Answers

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129. We can assume a linear growth model on the based of given information.

The given data states that in the year 1985, there were 13 US billionaires. Whereas in 1990, there were 99 US billionaires. We have to find out the formula that predicts the number of US billionaires in any given year (t).

The yearly increase remains constant, so we can consider the formula for the linear function.f(t) = mt + b

where

t is the year and f(t) is the number of US billionaires in that year (t).

m is the slope of the line and b is the y-intercept.

The slope of the line is given by the formula:m = (y₂ - y₁) / (x₂ - x₁)

Let's plug in the given values to find the slope of the line.m = (99 - 13) / (1990 - 1985)m = 86 / 5m = 17.2 .The y-intercept of the line can be found by substituting the values of t and f(t) from any of the given points into the equation of the line.

Let's use the point (1985, 13).f(t) = mt + b => f(1985) =17.2(1985) + b => f(1985) = 34,142 + b =>b = 13 - 34,142 & b = -34,129.

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129

To know more about linear growth model refer here:

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