Use the diagram below to find mPRQ.
a. 226°
b. 67°
c. 113°

Answer:

The bike will travel approximately 1,272 inches or 106 feet.

Step-by-step explanation:

The diameter of a circle (wheel) can be used to find the circumference, which is the total perimeter around the wheel. The formula used to find circumference is: C = dπ, where 'd' is the diameter and π = 3.14. In this case C = 27 x 3.14 ≈ 84.78 inches. Since this measurement represents the perimeter of wheel, we would need to multiply this number by 15 in order to find the total distance after 15 complete rotations of the wheel: 84.78 x 15 ≈ 1,272 inches. 1,272 inches is a large measurement, so we can easily convert this to feet by dividing by the number of inches per foot, or 12: 1272/12 = 106 feet.

Answer:

1) 706.5

2) 1133.5

Step-by-step explanation:

is it area?

if so here is the formula.

p times r times r =

pi x 225

706.5

I hope this helped.

Answer:

The container will take 25 minutes to go from full to empty.

Step-by-step explanation:

In 15 minutes, the container has lost 3 gallons of water (

5

−

2

=

3

).

Since the leak is at a constant rate, we can determine that every five minutes the container loses one gallon.

So for the container to lose the full 5 gallons will take 25 minutes (

5

×

5

=

25

-1/2 is the slope of the line that passes through the points (12,-1) and (-2,6).

Slope is simply expressed as change in y over the change in x.

The slope formula is expressed as;

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Given the data in the question;

Point 1( 12, -1 )

Point 2( -2, 6 )

To determine the slope of the line, plug the given coordinates into the slope formula above.

Slope m = ( y₂ - y₁ )/( x₂ - x₁ )

Slope m = ( 6 - (-1) )/( -2 - 12 )

Slope m = ( 6 + 1) )/( -2 - 12 )

Slope m = ( 7 ) )/( -14)

Slope m = -7/14

Slope m = -1/2

Therefore, the slope of the line is -1/2.

Option F is the correct answer.

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C- is the probability distribution showing all possible values of the sample mean. D- p approaches 0.5

The sampling distribution mean is the physical to the population mean. A sampling distribution is a probability distribution of a statistic obtained from a larger number of samples drawn from a specific population. The sampling distribution of a given population is the distribution of frequencies of a range of different outcomes that could possibly occur for a statistic of a population.

Thus, the correct answer is C

The term "standard error" refers to the sampling standard deviation of the sample statistic or sample proportion. The population percentage can be accurately estimated using the sample proportion.

Thus, the correct answer is D

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The sampling distribution mean is the physical to the population mean. A sampling distribution is a probability distribution of a statistic obtained from a larger number of samples drawn from a specific population. The sampling distribution of a given population is the distribution of frequencies of a range of different outcomes that could possibly occur for a statistic of a population.

Answer:

18

Step-by-step explanation:

when x=4 and y=-3 evaluate 3x-2y

3x - 2y = 3(4) - 2(-3) = 12 - (-6) = 12 + 6 = 18

Answer:

18

Step-by-step explanation:

Plug in the values.

3(4) - 2(-3)

12 - - 6

12 + 6

= 18

The system of linear equations has infinite solutions.

Here we have the following system of equations:

y = -2x + 9

6x + 3y = 27

We can rewrite the second linear equation to get:

6x + 3y = 27

3y = 27 - 6x

y = (27 - 6x)/3

y = 9 - 2x

So you can see that the two linear equations represent the same line, then the lines intersect at infinite points, which means that the system has infinite solutions.

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Answer:

A laptop uses between 50 and 100 W/hour when it is being used, depending on the model. A laptop that is on for eight hours a day uses between 150 and 300 kWh and emits between 44 and 88 kg of CO2 per year. In stand-by mode the power consumption of both a desktop and a laptop falls to about a third.

Step-by-step explanation:

Answer:

(3, 6)

(0, -1/2)

Step-by-step explanation:

in a function like f(x)

The f() represents the function and the x represents the x value you plug into the function. f(x) is the same as the y value, it is just used to show what the y value would be at a certain x value for that function

_____

f(3) = 6 means when the function f is at x = 3, the function, f = 6.

so it would be (3, 6)

g(0) = -1/2 means the function g is at x = 0, the function, f = -1/2.

so it would be (0, -1/2)

After solving the equation using the function rule the values of y are \(9,3,-3,-9\).

A function rule is an equation that describes a relationship between two variables, where one is a dependent variable, and the other is an independent variable. Function rules are used to determine the value of the dependent variable for any given value of the independent variable. Function rules can be written as a formula, a graph, or a table of values. Function rules are often used in mathematics, physics, and other sciences to describe the behavior of a system or process.

Given: Function  \(y=-3x-3\)

When we have a function, we just have to replace the x by the numbers on the table, in this case \(-4,-2,0,2\).

Substituting the values of x we get,

y = -3 (-4) - 3 ⇒ 12 - 3 = 9

y = -3 (-2) - 3 ⇒ 6 - 3 = 3

y = -3 (0) - 3 ⇒ 0 - 3 = -3

y = -3 (2) - 3 ⇒ -6 - 3 = -9

Hence, the values of y are \(9,3,-3,-9\).

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Explanation

By definition.

so

Let

hence

I hope this helps you

matrix: \({\sqrt{3}} \\\end{array}}\right],\left[{\begin{array}{c}\frac{\sqrt{2}}{2} \\ -\frac{\sqrt{2}}{2} \\ 0 \\ 0 \\ 0 \\\end{array}}\right],\left[{\begin{array}{c}\frac{1}{3} \\ -\frac{1}{3} \\ \frac{2}{3} \\ \frac{1}{3} \\ \frac{2}{3} \\\end{array}}\right]} \right\}$\)

Correlations describe the connections between different variables. Strong, weak, positive, or negative expressions are all possible. To determine an orthogonal basis for the column space of the matrix provided, let's first use the Gram-Schmidt orthogonalization method.

This process involves converting the matrix into an orthogonal basis. Then, normalize the resulting vectors to get an orthonormal basis. Given matrix: \({\sqrt{3}} \\\end{array}}\right],\left[{\begin{array}{c}\frac{\sqrt{2}}{2} \\ -\frac{\sqrt{2}}{2} \\ 0 \\ 0 \\ 0 \\\end{array}}\right],\left[{\begin{array}{c}\frac{1}{3} \\ -\frac{1}{3} \\ \frac{2}{3} \\ \frac{1}{3} \\ \frac{2}{3} \\\end{array}}\right]} \right\}$\)

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the probability of having a standard normal variable z between -1.63 and 0.25 is approximately 0.5471.

Using a standard normal table or a calculator, we can find the area under the standard normal curve between -1.63 and 0.25.

The standard normal distribution is a continuous probability distribution with mean 0 and standard deviation 1.

Therefore,

P(-1.63 < z < 0.25) = P(z < 0.25) - P(z < -1.63)

Using a standard normal table or a calculator, we can find that:

P(z < 0.25) = 0.5987

P(z < -1.63) = 0.0516

Therefore,

P(-1.63 < z < 0.25) = P(z < 0.25) - P(z < -1.63)

= 0.5987 - 0.0516

= 0.5471

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a numerical value that ranges from 0 (indicating the event is impossible) to 1 (indicating the event is certain).

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The area of the shaded segment is 7.125 cm²

The area of the shaded segment will be equal to the difference between the area of a quarter of a circle of radius R = 5cm, and a right triangle whose two legs measure 5cm.

The area of the quarter circle is:

A = (1/4)*3.14*(5cm)²

A = 19.625 cm²

And the area of the triangle is:

a = 5cm*5cm/2 = 12.5 cm²

Then the area of the shaded figure is:

A - a = 19.625 cm² -  12.5 cm²

A - a = 7.125 cm²

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Answer:

0.4

Step-by-step explanation:

how many minutes are in 4 miles

Answer:

I believe it’s C. 2.5

Step-by-step explanation:

The rational function ƒ(x) that represents the average price per minute x years after 1998 is given by ƒ(x) = g(x) / h(x), where g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4 and h(x) = -8.25x³ + 53.1x² - 7.82x + 138.

To calculate the average price per minute x years after 1998, we need to find the ratio between the average monthly bill (g(x)) and the average number of minutes used (h(x)). Therefore, the rational function ƒ(x) is defined as ƒ(x) = g(x) / h(x).

Given that g(x) = -0.27x³ + 1.40x² + 1.05x + 39.4 and h(x) = -8.25x³ + 53.1x² - 7.82x + 138, we can substitute these expressions into the rational function to obtain the final formula: ƒ(x) = (-0.27x³ + 1.40x² + 1.05x + 39.4) / (-8.25x³ + 53.1x² - 7.82x + 138).

This rational function represents the average price per minute x years after 1998 based on the given average monthly bill and average number of minutes used by U.S. mobile phone users. By plugging in different values for x, you can evaluate the function and obtain the corresponding average price per minute for each year.

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Answer:

a) 2.5%

b) 190

Step-by-step explanation:

a) 2.35+0.15=2.5

b) (.34+.34+.135+.135)x200=

.95x200=190

The distance between the airplanes changing is  -390.

The miles from the airport to Airplane A can be calculated as follows: a = 30 -250t, where t is in hours.

b = 40 -300t

Using the Pythagorean theorem, one can calculate the separation (d) between the aircraft:

d^2 = a^2 + b^2

2dd' = 2aa' + 2bb', and d' = (aa' + bb')/d.

a = 30 -2500 = 30 a' = -250 b = 40 -3000 = 40 b' = -300

d = √(a²+b²) = √(900+1600) = 50

Then, d' = (30(-250) +40(-300))/50 = -19500/50 = -390

At a speed of 390 miles per hour, the space between the aircraft is closing.

The distance between the two planes is going to be the square root of six, therefore if we solve for d, multiply both sides of this equation by the square root of six, we obtain six is equal to negative d, or d is equal to negative six.

For a commercial airliner, separation will typically be at least 3 miles laterally or 1,000 feet vertically (as stated in the question). The 5 mile rule is applied laterally in the enroute environment, at greater operating speeds over 10,000 feet, depending on the kind of radar and distance from the antennae.

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Answer:

m=3

b=(0,5)

Step-by-step explanation:

The steps to find the depth through which the storm submerges the lowest parts of the Pensacola Beach is given below.

As it has been given in the question, Pensacola beach is located 5-10 feet above sea level.

The ocean water rises upto 5.5 feet during a storm

Hence you need to add up the height of the highest tide on 16 September to 5.5 feet.

If the combined height of the highest tide and the storm tide is greater than 10 feet, then the whole Pensacola beach submerges.

You just subtract the combined height of the storm and the highest tide from the height of the beach.

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Portions of Pensacola Beach, a coastal community built on a barrier island, are located at 3 - 10 feet above sea level.

Hurricane Sally, which struck Pensacola on September 16, 2020 and brought a 5.5 foot storm.

Combined with a high tide on September 16,202, by how many feet did that storm surge submerge the lowest parts of Pensacola Beach? (Hint: use the information in question and change the date on the tidal chart to September 16, 2020) Now, compare your answers above, and think about how the type (pattern) and size of the tides differ for these two locations

after 5 years with different compounding frequencies: a. Monthly: $13,952.19 b. Daily: $14,059.89 c. Quarterly: $13,784.98 d. Weekly: $14,001.84

How to solve the question ?

To calculate the balance after 5 years with compound interest, we can use the formula:

A = P (1 + r/n) in power nt

where A is the balance after t years, P is the principal balance, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

For this problem, P = $10,000 and r = 6.92%. To find the balance after 5 years with different compounding frequencies, we can use the following values for n:

a. Monthly: n = 12 A = $10,000 (1 + 0.0692/12)¹²*⁵ = $13,952.19

b. Daily: n = 365 A = $10,000 (1 + 0.0692/365)³⁶⁵*⁵ = $14,059.89

c. Quarterly: n = 4 A = $10,000 (1 + 0.0692/4)⁴*⁵= $13,784.98

d. Weekly: n = 52 A = $10,000 (1 + 0.0692/52)⁵²*⁵ = $14,001.84

Therefore, after 5 years with different compounding frequencies: a. Monthly: $13,952.19 b. Daily: $14,059.89 c. Quarterly: $13,784.98 d. Weekly: $14,001.84

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3 number of roots exist for the polynomial function.

Step-by-step explanation:

As we know that the polynomial can only have exact number of roots as high as the degree of that polynomial is.

We can also prove it. Assume there is a polynomial

(x+2)(x+3) =0

Here the degree of the polynomial is 2 and the number of possible solutions are also 2. As it is evident that x is either equal to -2 or -3.

From the given condition,

(9x + 7)(4x + 1)(3x + 4)

we know that the degree of the polynomial is 3 because after expansion it becomes,

108x^3 + 255 x^2 +169x + 28 =0

Since, highest power of the variable is 3. Its degree is 3.

Therefore, possible number of roots that exist for the polynomial function are 3.

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Answer:

-6

Step-by-step explanation:

-(-3)²+3

-9 + 3

-6

Discrete-data is a category of quantitative information that has countable or finite values.

This indicates that there are no intermediate values between the precise numerical values that can be used to convey the data; only those values can be used. The number of siblings a person has, the number of pets a home has, and the number of individuals in a room are all examples of discrete data.

Numerous statistical methods, such as measures of central tendency like the mean, median, and mode, as well as measures of dispersion like range and standard deviation, can be used to analyse discrete data. Additionally, discrete data can be displayed graphically using tools like bar charts and frequency histograms.

A discrete data set is the number of stories in a skyscraper in Manhattan. A continuous data set, on the other hand, can be divided into ever-smaller pieces and can take on any value within a range. Therefore (b), "A discrete data set because the possible values can be counted."

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Answer:

Im sorry i dont understand what you mean by sentence but there are 6 boys

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

Hey There!

So if DE is the midsegment then to find x you divide the length of AE by 2

8/2=4

Therefore x=4

Answer:

8n < 72

n < 9

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

for example : 2 < 3 means 2 is less than 3

3 >2 means 3 is greater than 2

8 times n = 8n

8n is less than 72, this can be represented by the equation : 8n < 72

to determine the value of n, divide both sides of the equation by 8

n < 9  

To find the least squares line for the given data, we'll use the least squares regression method. Let's denote the year as x and the number of motor vehicle productions as y.

We need to calculate the slope (m) and the y-intercept (b) of the least squares line, which follow the formulas: m = (nΣxy - ΣxΣy) / (nΣx^2 - (Σx)^2). m  = (Σy - mΣx) / n. where n is the number of data points (in this case, 8), Σxy is the sum of the products of x and y, Σx is the sum of x values, Σy is the sum of y values, and Σx^2 is the sum of squared x values. Using the given data: Year (x): 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004. Motor Vehicle Production (y): 1537, 1628, 1805, 2009, 2391, 3251, 4415, 5071. We can calculate the following sums: Σx = 1997 + 1998 + 1999 + 2000 + 2001 + 2002 + 2003 + 2004= 16024. Σy = 1537 + 1628 + 1805 + 2009 + 2391 + 3251 + 4415 + 5071 = 24107.  Σxy = (1997 * 1537) + (1998 * 1628) + (1999 * 1805) + (2000 * 2009) + (2001 * 2391) + (2002 * 3251) + (2003 * 4415) + (2004 * 5071)= 32405136. Σx^2 = 1997^2 + 1998^2 + 1999^2 + 2000^2 + 2001^2 + 2002^2 + 2003^2 + 2004^2 = 31980810

Now, we can calculate the slope (m) and the y-intercept (b):m = (nΣxy - ΣxΣy) / (nΣx^2 - (Σx)^2)= (8 * 32405136 - 16024 * 24107) / (8 * 31980810 - 16024^2)≈ 543.6  . b = (Σy - mΣx) / n= (24107 - 543.6 * 16024) / 8

≈ -184571.2 . Therefore, the least squares line for the data is approximately y = 543.6x - 184571.2.

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