Which function describes a transformation that maps trapezoid FGHI to trapezoid F'G'H'I'?

The required number of miles Clara jogs each day during training is 4..5 miles.

You can anticipate that it will take between 1 and 2.5 minutes to travel one mile because the majority of roads have speed limits between 25 and 60 mph. Do not allow algebra cause you to lose focus on the road! Also keep in mind how crucial it is to properly insure your vehicle.

Let miles does Clara jog each day during training be x.

During a 5-day training period, she jogs and rides a total of 50 miles.

5x + 5(5.5) = 50

5x + 27.5 = 50

5x = 50 - 27.5

5x = 22.5

x = 4.5 miles.

Thus, Clara jogs 4.5 miles each day.

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Answer:(192/9.6)÷7=20/7

Step-by-step explanation:

Answer:

this question to this question is 2

Expanding and simplifying the expression:

4 ( p + 6 ) + 3 ( p − 2 ) = 4p + 24 + 3p - 6

= 7p + 18

So, the simplified expression is 7p + 18.

Answer:

[tex]4(p + 6) + 3(p - 2) \\ \longrightarrow \: 4p + 24 + 3p - 6 \\ solving \: the \: like \: terms \: together \: we \: get \\ \longrightarrow \:\boxed{ 7p + 18}[/tex]

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a) The best estimate for the probability of landing on black is,

= 11/50

b) This is the best estimate because it involves the largest number of trials.

The Probability in mathematics is the possibility of an event in time. In simple words how many times that incident is happening in any given time interval.

Given:

Gemma spun a spinner a total of 200 times and worked out the estimated probability of it landing on black after different numbers of spins.

Her results are shown in the table below.

a) The best estimate for the probability of landing on black is,

= 11/50

b) This is the best estimate because it involves the largest number of trials.

Therefore, all the required values are given above.

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In a certain isoceles triangle, the sum of the measures of the base angles is 88 degrees less than the measure of the remaining angle. Then the measure of each angle is 44° and 92°.

Determine the measure of each angle

These are the specified parameters:

The sum of the measures of the base angles is 88° less than the measure of the remaining angle.

Large pedestal angle

a + a = 88

2a = 88

 a = 88/2

 a = 44°

Peak angle

a + a + b = 180

88 + b = 180

       b = 180 - 88

       b = 92°

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The measurement of angle FWU is given as follows:

< FWU = 14.65º.

The measure is obtained using the two secant theorem, which states that the angle measure is half the difference between the angle measures of the two arcs.

The angle measures for each arc are given as follows:

The difference between these two measures is obtained as follows:

67.4 - 38.1 = 29.3.

The angle measure is half of this, hence it is obtained as follows:

< FWU = 0.5 x 29.3

< FWU = 14.65º.

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Answer:

[tex](-1, -2)[/tex]

Step-by-step explanation:

In this problem, we are asked to solve a system of equations given two equations each containing two variables: x and y. We can solve it using the substitution method.

First, we need to solve for a variable in terms of the other using one of the equations. I will solve for x in the first equation.

[tex]4x-7y=10[/tex]

↓ add [tex]7y[/tex] to both sides

[tex]4x=7y+10[/tex]

↓ divide both sides by 4

[tex]x=\dfrac{7y+10}{4}[/tex]

Now that we have solved for x in terms of y, we can substitute the solved x-value into the bottom equation.

[tex]3x + 2y = -7[/tex]

↓ substitute in solved x-value

[tex]3\left(\dfrac{7y+10}{4}\right) + 2y = -7[/tex]

↓ distribute 3

[tex]\dfrac{21y+30}{4}\right) + 2y\left(\dfrac{4}{4}\right) = -7\left(\dfrac{4}{4}\right)[/tex]

↓ rewrite all terms as fractions over 4

[tex]\dfrac{21y+30 + 8y}{4}\right)= -\dfrac{28}{4}[/tex]

↓ cancel denominators

[tex]29y+30= -28[/tex]

↓ isolate y's

[tex]29y = -28 - 30[/tex]

↓ simplify

[tex]29y= -58[/tex]

↓ divide both sides by 29

[tex]y = -2[/tex]

Now that we have solved exactly for y, we can solve for x using the substitution value we solved for earlier.

[tex]x=\dfrac{7y+10}{4}[/tex]

↓ substitute in y-value

[tex]x=\dfrac{7(-2)+10}{4}[/tex]

↓ simplify numerator

[tex]x=\dfrac{-14+10}{4}[/tex]

[tex]x=\dfrac{-4}{4}[/tex]

[tex]x = -1[/tex]

Finally, we can put the solved x and y values into a Cartesian coordinate in the form (x, y).

[tex](-1, -2)[/tex]

The age of first boy is 15 and age of second boy is 3.

Now, According to the question:

The x and y-axis are two important lines of the coordinate plane. The x-axis is a horizontal number line and the y-axis is a vertical number line. These two axes intersect perpendicularly to form the coordinate plane. The x-axis is also called the abscissa and the y-axis is called the ordinate.

"Information available from the question"

The sum of ages of two boys are 18.

Let x be the first boy

and, y be the second boy.

x +y = 18

(x +3) = 3(y+3)

Calculate the product or quotient

x + 3 = 3y + 9

x = 3y + 9 - 3

x = 3y + 6

Now,

3y + 6 + y = 18

Calculate the sum or difference:

4y + 6 = 18

4y = 18 - 6

4y = 12

y = 12/4

y = 3

So, For the value of x:

x + 3 = 18

x = 18 - 3

x = 15

Hence, The age of first boy is 15 and age of second boy is 3.

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Answer:

Below

Step-by-step explanation:

Volume = L x W x H =   14 ft x 16 ft x 8 ft = 1792 ft^3

Accordingly, 1 ml (milliliter) is just 1/1,000 of a liter. Consequently, 1 ml is less than 1 l.

Small quantities of liquid are measured in milliliters. Liters can be used to measure bigger amounts of liquid. 1 ml is equal to 0.001 liter, or 1000 milliliters. The symbol for a milliliter is either ml or mL.

The metric prefix "m" stands for "milli," which denotes "1/1,000 of" in English. Accordingly, 1 ml (milliliter) is just 1/1,000 of a liter. Consequently, 1 ml is less than 1 l.

The smallest metric unit, the milliliter, measures the tiniest amount of liquid and is a thousandth of a litre. So, 1 liter is equal to 1000 milliliters.

Therefore, the correct answer is option b. 4 liters 300 milliliters < 4,000 milliliters.

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Answer:

Parallelogram, Rhombus or a regular trapezium.

Step-by-step explanation:

Since all the units add up to 10 units, which is a factor of 180 degrees, all quadrilaterials work in this case as all quadrilaterals must have angles summing up to 180 degrees.

I might be wrong though. :(

Answer:

Step-by-step explanation:

all of them are correct!!!!! Great Job!!!!!

The 11th bee collected 2047 grams of pollen.

This can be determined by using a simple arithmetic progression. If the first bee collected 100 grams of pollen, the second bee collected more than twice that amount, or 1002 = 200 grams.

Then, the third bee collected more than twice the amount collected by the second bee, or 2002 = 400 grams. This pattern can be continued, and the 11th bee would have collected 1002^(10) = 1001024 = 104800 grams, or 104.8 kg of pollen.

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The limit value is equal to 2 .

Given,

2x ≤ g(x) ≤ [tex]x^{4}[/tex] − x² +  2

According to sandwich theorem,

g(x)≤ f(x) ≤ h(x)

[tex]\lim_{x \to \ a} g(x) = \lim_{x \to \ a} h(x) = L[/tex]

Then,

L= [tex]\lim_{x \to \ a} f(x) = L[/tex]

Here we have,

2x ≤ g(x) ≤ [tex]x^{4}[/tex] − x² +  2

And so if we take the limit as x→1; then

[tex]\lim_{x \to \ 1} 2x = 2\\\\ \lim_{x \to \ 1} x^{4} - x^{2} + 2 = 2\\[/tex]

Thus we can apply the sandwich theorem,

[tex]\lim_{x \to \ 1} g(x) = 2[/tex]

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Correct expression:

2x ≤ g(x) ≤ [tex]x^{4}[/tex] − x² +  2

The value of the statistic will

Median: Cannot be determined.

Mean: Increase.

Standard Deviation: Cannot be determined.

What are the mean, median, and standard deviation?

Standard deviation (σ) is defined as the square root of the variance. It measures the variability about the mean of a data set: the closer to the mean, the lower the standard deviation.

Median: Cannot be determined.

The median is the middle value in a set of data and can only change if the new value added to the menu is in the middle of the existing range.

If the new value is added to the beginning or end of the range, the median will remain unchanged.

Mean: Increase.

The mean is calculated by summing all the values and dividing by the number of values.

Adding a new value to the menu will increase the total sum and therefore increase the mean.

Standard Deviation: Cannot be determined.

The standard deviation measures the amount of variation or dispersion from the mean.

Adding a new value to the menu may increase or decrease the standard deviation, but it depends on the specific distribution of values in the existing menu and how the new value fits into that distribution.

Without more information, it is not possible to determine whether the standard deviation will increase, decrease, or remain unchanged.

Hence, the value of the statistic will

Median: Cannot be determined.

Mean: Increase.

Standard Deviation: Cannot be determined.

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The elevation of the ray is -23 feet below the sea level

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

Elevation = 23 feet below the sea level

The elevation of a location is its height above a certain reference point, typically sea level.

If a location is 23 feet below sea level, its elevation is -23 feet.

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The density of an object is 10490kg/m^3.

Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.

Density = (Total amount available)/(total space which contains that amount)

Given;

The mass of object= 73,430 kilograms

The volume of object= 7m^3

Now

D=mass/volume

D=73430/7

D=10490

Therefore, the density will be 10490kg/m^3.

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Given a quadratic function y = 36 - x² , the intervals over which the function is increasing is: (-∞ , 0) and the intervals over which the function is decreasing is:  (0, ∞).

The standard form of a quadratic function is given by:

f(x) = ax² + bx + c

If a > 0, the graph of the function opens upward and the extreme point is the minimum one.

If a < 0, the graph of the function opens downward and the extreme point is the maximum one.

In this case, the function is: y = 36 - x²

Since the coefficient of the quadratic term is negative, or a < 0, then the graph opens downward and has a maximum point.

y = 36 - x²  is already in the form of perfect square, hence, we can immediately compute:

x-intercepts : (-6,0) and (6,0)

y-(intercept = maximum point = (0, 36)

Before the maximum point, the function is increasing, while after the maximum point, the function is decreasing.

Hence,

increasing interval = (-∞ , 0)

decreasing interval = (0, ∞)

Your question is incomplete, most likely, it was:

Find the open intervals over which the function is increasing or decreasing. write the answers in interval notation.

y = 36 - x²

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Answer: Domain Is always the x-input, while range will be the y-output.

Step-by-step explanation:

domain- -10,-1,2,6,8

Range- -5,1,2,6

Answer:

3.7

Step-by-step explanation:

The length of the diagonal of a square is [tex]\sqrt{2}[/tex] times the side length.

[tex]\implies x=\sqrt{7}\sqrt{2} \approx 3.7[/tex]

The size of a Simple Random Sample (SRS) for estimating the mean score of medical college admissions test takers on your campus depends on the desired level of precision and the variability of the population.

The sample size required to estimate the mean score of a population depends on the desired level of precision, the variability of the population, and the level of confidence desired. In general, a larger sample size is needed to estimate the mean of a population with high variability or when a high level of precision is desired.

On the other hand, a smaller sample size is sufficient if the population is relatively homogeneous or if a lower level of precision is acceptable. It's important to note that a sample size that is too small may result in an imprecise estimate, while a sample size that is too large may be unnecessarily wasteful. A statistician can help determine the appropriate sample size for a given situation.

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The outcome that contradict the law of large numbers is option E) NONE OF THE ABOVE.

The law of large numbers states that as the number of trials in a random experiment increases, the average of the results will approach the expected value.

A) FIVE HEADS ARE OBSERVED: This outcome is not contradictory to the law of large numbers as it is possible to have five heads in ten tosses of a fair coin, and as the number of trials increases, the average of heads will approach the expected value of 0.5.

B) NO TAILS ARE OBSERVED: This outcome is not contradictory to the law of large numbers as it is possible to have no tails in ten tosses of a fair coin, and as the number of trials increases, the average of tails will approach the expected value of 0.5.

C) SIX HEADS ARE OBSERVED: This outcome is not contradictory to the law of large numbers as it is possible to have six heads in ten tosses of a fair coin, and as the number of trials increases, the average of heads will approach the expected value of 0.5.

D) TWO TAILS ARE OBSERVED: This outcome is not contradictory to the law of large numbers as it is possible to have two tails in ten tosses of a fair coin, and as the number of trials increases, the average of tails will approach the expected value of 0.5.

E) NONE OF THE ABOVE: None of the above outcomes are contradictory to the law of large numbers as each of them is possible in ten tosses of a fair coin and as the number of trials increases, the average of heads and tails will approach the expected value of 0.5.

Therefore, the answer is E) NONE OF THE ABOVE.

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a. To calculate the average daily sales over the course of seven days, multiply the total sales over the course of seven days by seven.

The salesperson generated $36,000 in revenue in the first three days by selling an average of $12,000 per day.

The following four days saw sales of $9,000 on average, for a total of $36,000 ($4 days * $9,000/day). Sales for the seven days added up to $36,000 + $36,000 = $72,000. Thus, throughout the course of the entire seven days, the average daily sales were $72,000 / seven days, or $10,285.7.

b. We must aggregate the total earnings from both jobs and divide it by the total number of hours worked in order to determine the average hourly wage. Kelly puts in a total of 12 hours of work by working 5 hours at a restaurant and 7 hours at a retail store. She is paid $12 per hour at the retail location and $20 per hour at the restaurant, so her total pay for seven hours is $104. The daily average hourly wage is $104 divided by 12 hours, or $8.67.

c. We must first calculate Henry's total earnings for the first 10 days, then deduct those earnings from the first 9 days to arrive at his earnings on the final day. The total income for the first 10 days was $1,200 (10 days * $120/day). Five days at a rate of $100 each brought in a total of $500. The next four days' earnings came to $520 (4 days * $130/day). For the first nine days, the total earnings were $500 + $520, or $1,020. Therefore, Henry's final day earnings were $180 ($1,200 – $1,020).

d. The number of singles, doubles, triples, and home runs must be added up in order to determine the total number of at-bats. Marcus has 107 hits overall, which include 18 singles, 33 doubles, 2 triples, and 54 home homers. He has now played in 107 at-bats.

e. The total bases (one base for a single, two bases for a double, three bases for a triple, and four bases for a home run) must be added together and divided by the total at-bats in order to determine the slugging percentage. Tyler has 235 total bases, which are calculated as follows: 74 singles * 1 base/single + 13 doubles * 2 bases/double + 11 triples * 3 bases/triple + 4 home runs * 4 bases/home run. His Slugging Percentage therefore equals 235 / 383 at-bats, or 0.616. Divide the total number of hits by the total number of at-bats to obtain the batting average. 383 at-bats x 74 hits Equals 0.193 for Tyler.

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Answer:

63.6%

Step-by-step explanation:

21 out of 33 is what we are working with here. Divide.

21/33

= 0.636363...

Times by 100 to change from a decimal to a percent (you know "per cent" means "per hundred")

= 63.636363...

Round to the nearest tenth as per the instructions.

= 63.6%

Answer:

6 1/5= 31/5

Step-by-step explanation:

Answer:

  D)  2030

Step-by-step explanation:

You want to know when the population will double from its value in 1995 if it increases at 2% per year.

The multiplier for t years is given as (1 +r)^t. We want to find t such that this value is 2 when r = 0.02.

  2 = 1.02^t

  log(2) = t·log(1.02)

  t = log(2)/log(1.02) ≈ 35.003

The year the population doubles will be ...

  1995 + 35.003 = 2030.003

The population will double in year 2030, choice D.

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