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2y4 + 3 = 69 by 420 and then it goes 420 plus 696969

Therefore, the area of the quarter circle of radius 8 cm is 16π square centimeters (or approximately 50.2655 square centimeters if we use a decimal approximation for π).

A circle is a two-dimensional shape that is defined as the set of all points that are a fixed distance (called the radius) from a central point (called the center) in a plane. It is one of the most basic geometric shapes and is often used in a variety of mathematical and scientific contexts. One important thing to note about circles is that they are symmetrical: any line passing through the center of a circle divides the circle into two halves that are mirror images of each other. Circles are commonly used in a variety of contexts, including geometry, trigonometry, physics, engineering, and many other fields. They are also used in everyday life, such as in the design of wheels and other circular objects, the calculation of the areas of circular fields or gardens, and the measurement of circular objects like plates and bowls.

Here,

The formula for the area of a quarter circle is given by:

A = (1/4)πr²

where A is the area of the quarter circle, r is the radius of the circle, and π is the mathematical constant pi (approximately 3.14159).

In this case, the radius of the quarter circle is 8 cm, so we can substitute this value into the formula and simplify as follows:

A = (1/4)π(8 cm)²

A = (1/4)π(64 cm²)

A = 16π cm²

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Answer:

20 units squared

Step-by-step explanation:

Using pythagorean theorum, we can find the hypotenuse(the long side). \(\sqrt{2^2 + 4^2} = \sqrt{20}\). Since the area of a square is one of the sides multiplied by itself, we get 20 units squared

Area of 2 triangles = 2*(1/2)*6*8

= 48 square ft

Area of 1 rectangle = 10*5

= 50 square ft.

Area of 2nd rectangle = 5*6

= 30 square ft.

Area of 3rd rectangle = 5*8

= 40 square ft.

Surface area of figure = 40+30+50+48

= 168 square ft.

Answer:

Step-by-step explanation:

Correct choice is

Answer:

108

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The color of your eyes doesn't depend on your shoe size, and your shoe size doesn't depend on the color of your eyes. All the other examples have a clear independent and dependent variable.

2x-7y=-56

-7y=2x+-56

+7y  

y=2x-56

I think thats the answer. I hope this helped :)

Answer:

2 and a half hours

Step-by-step explanation:

Hello!

To find this we add how far Mary and Ann travel and subtract that from the total distance till we get 0

2.5 + 2 = 4.5

11.25 - 4.5 = 6.75  First hour

6.75 - 4.5 = 2.25  Second hour

2.25 is half of 4.5  and half an hour is 30 minutes

2.25 -2.25 = 0 half hour

It will take them 2 and a half hours

The answer is 2 and a half hours

Hope this helps!

Answer:

2 1/2

Step-by-step explanation:

to in a half hours hopefully this helps

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Average quarter-hour share is 22.75%

Average quarter-hour share: Average Quarter-Hour Share is the percent of the total listening audience tuned in to each station. This estimate reveals the share of listening each station captures out of the total listening in the survey area.

in an average quarter hour, the total listening audience in green villa is 35,600 and the radio station clip has an average quarter hour listenership of 8,100

we have to find average quarter-hour share

Average quarter hour share = (AQH persons of a station/AQH persons of all station) * 100 = (8100/35600) *100 = 22.75%

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Answer: The  Final results:- 7^10 mod 11 = 1

- (14 * 161 - 7) mod 5 = 2

Step-by-step explanation:

Let's calculate the given expressions step by step:

1. Calculate 7^10 mod 11:

To calculate this, we can use the property of modular exponentiation. We'll perform the exponentiation and then take the modulus.

Step 1: Compute 7^10:

7^10 = 282,475,249

Step 2: Take the modulus:

282,475,249 mod 11 = 1

Therefore, 7^10 mod 11 is equal to 1.

2. Calculate (14 * 161 - 7) mod 5:

Here, we'll first perform the multiplication and subtraction, and then take the modulus.

Compute 14 * 161:

14 * 161 = 2,254

Subtract 7:

2,254 - 7 = 2,247

Take the modulus:

2,247 mod 5 = 2

Therefore, (14 * 161 - 7) mod 5 is equal to 2.

Final results:

- 7^10 mod 11 = 1

- (14 * 161 - 7) mod 5 = 2

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The expression represented by the given number line is f(x) = -k(x+2.5)(x-3) where k > 0.

The expression represented by the given number line can be determined by identifying the values that correspond to the endpoints of each arrow and the direction of the arrow.

Starting from the left endpoint, the arrow goes from -2.5 to -1. This means that the expression is positive between -2.5 and -1. To determine the exact expression, we need to know the interval of the arrow.

The arrow starts at 0 and ends at 3, which means the expression is positive between 0 and 3. Finally, the arrow goes from 3 to -2.5, which means the expression is negative between 3 and -2.5.

Putting all of this information together, we can write the expression as:

f(x) = k(x+2.5)(x-3)

where k is a constant that determines the overall scale of the expression. Since the expression is positive between -2.5 and -1, we know that k must be negative. Since the expression is negative between 3 and -2.5, we know that k must be positive.

Therefore, the expression represented by the given number line is:

f(x) = -k(x+2.5)(x-3) where k > 0.

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To find the average temperature for the three hours, we need to sum up the temperatures for each hour and divide by the total number of hours.The average temperature for the three hours is approximately 37.4 degrees Celsius.

Temperature in the first hour: 37.5 degrees Celsius

Temperature in the second hour: 37.5 degrees Celsius

Temperature in the third hour: 37.2 degrees Celsius

To calculate the average temperature:

Average temperature = (Temperature in the first hour + Temperature in the second hour + Temperature in the third hour) / Total number of hours

Average temperature = (37.5 + 37.5 + 37.2) / 3

Calculating the sum:

Average temperature = 112.2 / 3

Dividing by the total number of hours:

Average temperature ≈ 37.4 degrees Celsius

Therefore, the average temperature for the three hours is approximately 37.4 degrees Celsius.

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Answer:

c. 84   if wrong its 72 because im not sure if its esimated but if not its right.

Step-by-step explanation:

42x4.5=189

18x4.5=81

=270

84 of those seventh-grade students would you expect to be left-handed.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, have,

from 60 students ,

left handed = 18

now, from 280 students,

left handed = 280/60*18

                   =84

hence, 84 of those seventh-grade students would you expect to be left-handed.

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Answer:

quadrant 3

Step-by-step explanation:

first you have to realize how the quadrants are positioned start top right and number 1 through 4 counter clockwise.

then you have to realize the number values in the quadrants

1 (x,y) 2 (-x,y) 3(-x,-y) 4( x,-y)

x<0 and y<0 both x and y are less than zero therefor quadrant 3

Answer:

is 4

Step-by-step explanation add

The probability that the sample mean will be within plus minus 2 of the population mean if the sample size is n = 100 between z-scores of 0 and 2.5 using a z-table.

The standard deviation of the sample distribution, commonly known as the standard error, can be computed using the formula given that the population mean is 100 and the standard deviation is 16:

Standard Error = Standard Deviation / sqrt(sample size)

Let's determine the likelihoods for sample sizes of n = 100 and n = 400:

For n = 100:

Standard Error = 16 / sqrt(100) = 16 / 10 = 1.6

We can determine the z-scores for the upper and lower boundaries to establish the likelihood that the sample mean will be within plus or minus 2 of the population mean:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 1.6

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 1.6

Upper Bound z-score = 4 / 1.6

Upper Bound z-score = 2.5

We can calculate the region under the normal distribution curve between z-scores of 0 and 2.5 using a z-table or statistical software. This shows the likelihood that the sample mean will be within +/- 2 standard deviations of the population mean.

For n = 400:

Standard Error = 16/√400

Standard Error = 16/20

Standard Error = 0.8

We determine the z-scores by following the same procedure as above:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 0.8

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 0.8

Upper Bound z-score = 4 / 0.8

Upper Bound z-score = 5

Once more, we may determine the region under the normal distribution curve between z-scores of 0 and 5 using a z-table or statistical software.

A larger sample size, like n = 400, has the benefit of a lower standard error. The sampling distribution of the sample mean will be more constrained and more closely resemble the population mean if the standard error is less.

As a result, there is a larger likelihood that the sample mean will be within +/- 2 of the population mean. In other words, the estimate of the population mean gets more accurate and dependable as the sample size grows.

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Answer:

36.5feet

Step-by-step explanation:

tan47º=h/34

h=36.4605=36.5feet

The tree is at height 36.5 feet if the point on the ground is 34 feet from the tree.

The angle of elevation to a nearby tree from a point on the ground is measured to be 47º

The angle of elevation is when you are measuring the angle from the floor or the ground.

\(tan47^0=h/34\)

\(34 tan47^0=h\)

h=36.4605

h=36.5 feet

Therefore the tree is at height 36.5 feet if the point on the ground is 34 feet from the tree.

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Answer:

-∞ < x < 4

Step-by-step explanation:

→ The graph touches the y axis at 4, therefore 4 part of the range. As h ( x  ) has a vertical asymptote it will never touch the line x = 1, therefore -∞.

Answer:

8 - (-2) = 10 there you go!

Step-by-step explanation:

Answer:

When you subtract a negative numbe, it is the same as adding the number. For example, 8-(-2) can be written as 8+2. Two negatives make a positive.

:)

To get the number of half-lives passed, we divide the time of flight from part a by the length of a half-life, as

given in the statement of the problem:

Number of half lives = 2×10−4

1.5×10−6 ≈ 133

The fraction of remaining muons will decrease by 1/2

every half life, so the fraction after a given number N of

half-lives will be:

1/2 × 1/2 × 1/2

· · · N times · · · × 1/2 = ( 1/2)N .

This makes the fraction remaining equal to 1/2 to the power 133:

fraction remaining = ( 1/2)

133 ≈ 10−40. That’s not very many muons

First-generation quarks are what make up pions, which are mesons with no spin. An anti-down quark and an up quark are described in the quark model. In addition to vector, rho, and omega mesons, the exchange of virtual pions also explains why there is still a strong interaction between nucleons. Pions are typically created in high-energy collisions between hadrons and are not created during radioactive decay. In some matter-antimatter annihilation processes, pions are also produced.

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Note that the full question is:

Ne of the many fundamental particles in nature is the muon mu. This particle acts very much like a "heavy electron." It has a mass of 106 MeV/c^2, compared to the electron's mass of just 0.511 MeV/c^2. (We are using E = mc^2 to obtain the mass in units of energy and the speed of light c).Unlike the electron, though, the muon has a finite lifetime, after which it decays into an electron and two very light particles called neutrinos (nu). We'll ignore the neutrinos throughout this problem.

If the muon is at rest, the characteristic time that it takes it to decay is about 2.2 microseconds. Most of the time, though, particles such as muons are not at rest and, if they are moving relativistically, their lifetimes are increased by time dilation. In this problem we will explore some of these relativistic effects.

Cosmic rays are constantly raining down on the earth from outer space. (Figure 1)The majority of these cosmic rays are protons, and when upper atmosphere, they can convert into particles called pions (), which subsequently decay into muons with a characteristic lifetime of T.

Suppose that a cosmic-ray proton crashes into a nitrogen molecule in the upper atmosphere. 45 km above the earth's surface, producing a pia a muon. Assume that the pion has a velocity of 99.99% the speed of light and decays into a muon, which, owing to kinematics, has a downward velocity of 99.9943% the speed of light.

now let’s consider the effect of time dilation how far would the pion actually travel before decaying?

The two groups have the same ratio of students with solo to total students.

We should know that ration is the quotient of two numbers. In mathematics ration is defined as  as the number of times one number contains another number

The given parameters are

25 choir students

5 solo students from the choir

20 Orchestra students

4 solo orchestra students

Expressing the ratio of total choir students to total orchestra students and solo choir  students to solo orchestra students we have

25:20 = 5:4

Dividing the left hand side by 5

5:4 = 5:4

In conclusion the ratio of total choir students to total orchestra students and solo choir students to solo orchestra students are the same = 5:4

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