Which value is closest to b in centimeters?

Answer:

I am not sure

Step-by-step explanation:

But I think I know

Answer:

Step-by-step explanation:

n=0

w=3120

i=\(\sqrt 2\)

q=\(\frac{-6}{7}\)

r=5.123456...

Tom earns $32,660.

A z-score of 0.9 means that Tom's salary is 0.9 standard deviations above the mean. The mean salary is $27,800 and the standard deviation is $5400, so Tom's salary is $27,800 + 0.9 * $5400 = $32,660.

Here is a more detailed explanation of how to calculate Tom's salary:

The mean salary is $27,800.

The standard deviation is $5400.

A z-score of 0.9 means that Tom's salary is 0.9 standard deviations above the mean.

To calculate Tom's salary, we can use the following formula:

Salary = Mean + (Z-score * Standard deviation)

Substituting the known values into the formula, we get:

Salary = $27,800 + (0.9 * $5400)

Salary = $32,660

Therefore, Tom earns $32,660.

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Therefore, the value of derivatives dy/dx = -3 tan t/2 and d2y/dx2 = -3(1 - cos t)/(2(1+cos t)^2).

To find dy/dx and d2y/dx2, we need to first express y in terms of x:

x = 2 sin t --> sin t = x/2 --> cos t = ±sqrt(1 - sin^2 t) = ±sqrt(1 - x^2/4)

y = 3 cos t = ±3sqrt(1 - x^2/4)

Since 0 < t < 2π, we can determine the sign of cos t by looking at the quadrant that x lies in. Since x = 2 sin t, we have x > 0 when 0 < t < π and x < 0 when π < t < 2π. Therefore, when 0 < t < π, we have:

cos t = sqrt(1 - sin^2 t) = sqrt(1 - x^2/4)

y = 3 sqrt(1 - x^2/4)

dy/dx = -3x/2 sqrt(1 - x^2/4)^(-1)

Taking the derivative of dy/dx with respect to x, we get:

d2y/dx2 = -3/2 [sqrt(1 - x^2/4)^(-1) - 3x^2/8 (1 - x^2/4)^(-3/2)]

Plugging in x = 2 sin t and simplifying, we get:

dy/dx = -3 sin t / sqrt(4 - 4 sin^2 t) = -3 sin t / 2 cos t = -3 tan t/2

d2y/dx2 = -3/4 (sec^2 t/2 - 3 tan^2 t/2) = -3/4 [(2/(1+cos t) - 3 tan^2 t/2)]

Using the identity cos^2(t/2) = (1+cos t)/2 and simplifying, we get:

d2y/dx2 = -3/4 [(4/(1+cos t) - 3) / (1+cos t)] = -3(1 - cos t)/(2(1+cos t)^2)

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Step-by-step explanation:

the equation is

3n-1 = 5n-7

2n= 6

n= 3

The price at which the total quantity supplied is 250 is $11.58.

In order to find the price at which the total quantity supplied is 250, we need to equate the total quantity supplied by both producers (Supply 1 and Supply 2) and solve for the price.

Supply 1: P = 6 + 0.7Q

Supply 2: P = 16 + 0.6Q

To find the equilibrium price, we set the total quantity supplied equal to 250:

0.7Q + 0.6Q = 250

1.3Q = 250

Q = 250 / 1.3 ≈ 192.31

Now that we have the quantity, we can substitute it back into either supply function to find the price. Let's use Supply 1:

P = 6 + 0.7Q

P = 6 + 0.7 * 192.31

P ≈ 6 + 134.62

P ≈ 140.62

Therefore, the price at which the total quantity supplied is 250 is approximately $11.58.

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Answer:

182.88cm

Step-by-step explanation:

multiply the length value by 30.48

To determine the local minimum and local maximum of the function A(x) = ∫₀ˣ f(t) dt on the interval (0, 6), we need to analyze the behavior of A(x) and its derivative.

Let's denote F(x) as the antiderivative of f(x), which means that F'(x) = f(x).

To find the local minimum and maximum, we need to look for points where the derivative of A(x) changes sign. In other words, we need to find the values of x where A'(x) = 0 or A'(x) is undefined.

Using the Fundamental Theorem of Calculus, we have:

A(x) = ∫₀ˣ f(t) dt = F(x) - F(0)

Taking the derivative of A(x) with respect to x, we get:

A'(x) = (F(x) - F(0))'

Since F(0) is a constant, its derivative is zero, and we are left with:

A'(x) = F'(x) = f(x)

Now, let's analyze the behavior of f(x) based on the given figure to determine the local minimum and maximum of A(x) on the interval (0, 6). Without the specific information about the shape of the graph, it is not possible to determine the exact values of x that correspond to local minimum or maximum points.

To find the local minimum, we need to locate a point where f(x) changes from decreasing to increasing. This point would correspond to x = x_min.

To find the local maximum, we need to locate a point where f(x) changes from increasing to decreasing. This point would correspond to x = x_max.

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Answer:

The location of B is 0.2

Step-by-step explanation:

We have to be using decimals on each line except for the whole numbers. Since there are spaces/lines in between 0 and 1. It would go like 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, 1. Then 1, 1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2. And so forth!

I hope this helps!!

Given,V = 4/9 πr³The volume of the sphere is equal to the sum of the volumes of the three equal wedges. That is:V₁ + V₂ + V₃ = V Volume of one wedge = V/3 = 1/3 × 4/9 × πr³= 4/27 πr³Thus, the volume of the sphere is:V = 3 × 4/27 πr³= 4/9 πr³Rearranging the equation,4/9 πr³ = Vr³ = 9/4V/πr = [(9V/4π)]¹/³= rSo, the formula for r is r = [(9V/4π)]¹/³.

To find the volume of a sphere divided into three equal wedges, we first find the volume of each wedge. We are given that V = 4/9 πr³ for one wedge. We can then use the fact that the volume of the sphere is equal to the sum of the volumes of the three equal wedges, which gives us:V₁ + V₂ + V₃ = VWe can substitute 4/9 πr³ for V₁, V₂, and V₃ since they are all equal, which gives us:3(4/9 πr³) = VThis simplifies to:4/3 πr³ = VWe can then solve for r by rearranging the formula to isolate r. We get:r = [(9V/4π)]¹/³Therefore, to find r, we need to know the volume of the sphere. Once we know the volume, we can use the formula r = [(9V/4π)]¹/³ to solve for r. In conclusion, if a solid sphere is cut into three equal wedges with each wedge's volume equal to V = 4/9 πr³, then the formula for r is r = [(9V/4π)]¹/³.

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Answer:

40

Step-by-step explanation:

A way to do this would be to think of it as a graph.

To find out how many different playgrounds you can build with 10 swing sets and 2 different slides, you can multiply 10 by 2 to get 20.

Taking this number, you can multiply it by 2 (for the seesaw) to get the total amount of different playgrounds.

Multiply 20 by 2 will get you 40.

He can make a total of 40 different playgrounds.

The area of the region on is left side of the line x ≤ 1 will be considered.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

8 ≥ 3x + 5

Simplify the equation, then we have

8 ≥ 3x + 5

3 ≥ 3x

x ≤ 1

The area of the region on is left side of the line x ≤ 1 will be considered.

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The given statement is True. A discrete probability distribution can be expressed in a graph, table, or formula, as long as it gives the probability associated with each value of the discrete random variable.

A Discrete probability distribution is a statistical term used to describe the probability distribution of a random variable that can take on a finite or countably infinite number of distinct outcomes. In other words, a discrete random variable is one that can only take on a specific set of values, while a continuous random variable can take on any value within a specified range.Examples of discrete random variables include the number of children in a family, the number of accidents that occur in a given day, and the number of red cars that pass through an intersection in an hour. A discrete probability distribution is a way of describing the probabilities associated with each of these possible outcomes.In summary, a discrete probability distribution can be expressed in a graph, table, or formula, as long as it gives the probability associated with each value of the discrete random variable. This is because a discrete random variable can only take on a specific set of values, making it easy to calculate the probabilities associated with each outcome.

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There are 7 dimes and 9 quarters in his pocket.

If there are 16coins in total, hence;

If hamid has $2. 95 in dimes and quarters, this is expressed as:

From equation 1

Substitute equation 3 into 2 to have:

0.1x + 0.25y = 2.95

0.1(16-y) + 0.25y = 2.95

1.6 - 0.1y + 0.25y  = 2.95

1.6 + 0.15y = 2.95

0.15y = 1.35

y = 1.35/0.15

y = 9

Since x + y = 16

x = 16 - y

x = 16 - 9

x = 7

Hence there are 7 dimes and 9 quarters in his pocket.

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Answer:

33

Step-by-step explanation:

do it in reverse

there are 3 numbers

average is 20

that means total is 20 times 3 which is

60

7+20+x=60

27+x=60

x=60-27=

33

Answer:

x = 33

Step-by-step explanation:

we find the "average" of a data set by adding all of the numbers in the data set together, and then dividing by the number of numbers/values present

for example,

the average of 2 and 20

2 + 20 = 22

(there are two numbers, so we divide by 2)

22 / 2 = 11

so, this example has an average of 11

we can apply the same logic to a variable:

we know that

\(\frac{20+7+x}{3}\)  = 20

We can now solve for x:

\(\frac{20+7+x}{3}\) = 20  

 · 3          ·3      {multiply both sides by 3}

20 + 7 + x = 60  {combine like terms}

27 + x = 60  {subtract 27 from both sides to isolate x}

x  = 33

{check answer:
7 + 20 + 33 = 60

60 / 3 = 20      (divided by 3 because we have 3 numbers) }

so, the value of x is 33

(x = 33)

hope this helps!!

Answer:

s = 16

Step-by-step explanation:

-1.8 = 4.6 - 0.4s (subtract 4.6 on both sides)

-6.4 = -0.4s (divide by -0.4)

16 = s

Answer:

16

Step-by-step explanation:

-1.8=4.6-0.4s

-4.6       -4.6

-6.4=-0.4s

Divide -0.4

= 16

Answer:

7

Step-by-step explanation:

AC=DE

3x-15=6

solve for x

3x=6+15

3x=21

x=21/3

x=7

The stress function given by Airy, φ = crθ sinθ, satisfies the biharmonic equation in polar coordinate system. The stresses in a polar coordinate system can be determined using this stress function.

To show that φ satisfies the biharmonic equation, we need to demonstrate that it satisfies Laplace's equation twice. In polar coordinates, the Laplacian operator is given by:

\(\[\Delta = \frac{1}{r}\frac{\partial}{\partial r}\left(r\frac{\partial}{\partial r}\right) + \frac{1}{r^2}\frac{\partial^2}{\partial\theta^2}\]\)

Taking the first derivative of φ with respect to r, we have:

\(\[\frac{\partial\phi}{\partial r} = c\theta\sin\theta\]\)

Taking the second derivative with respect to r, we get:

\(\[\frac{\partial^2\phi}{\partial r^2} = 0\]\)

Next, taking the second derivative of φ with respect to θ, we have:

\(\[\frac{\partial^2\phi}{\partial\theta^2} = -c\theta\sin\theta\]\)

Finally, substituting these results into Laplace's equation, we find that:

\(\[\Delta^2\phi = \left(\frac{\partial^2\phi}{\partial r^2} + \frac{1}{r}\frac{\partial\phi}{\partial r}\right) + \frac{1}{r^2}\frac{\partial^2\phi}{\partial\theta^2} = 0\]\)

Thus, φ satisfies the biharmonic equation. The stresses in a polar coordinate system can be determined by taking the derivatives of the stress function φ. The radial stress (σ_r) and the tangential stress (σ_θ) can be calculated as follows:

\(\[\sigma_r = \frac{1}{r}\frac{\partial^2\phi}{\partial\theta^2} \quad \text{and} \quad \sigma_\theta = -\frac{\partial^2\phi}{\partial r^2} - \frac{1}{r}\frac{\partial\phi}{\partial r}\]\)

Substituting the given stress function φ = crθ sinθ, we can evaluate these expressions to obtain the stresses in the polar coordinate system.

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If there is a y-intercept, we can find it by plugging a zero for x and evaluating the function. If this produces an undefined value, then there is no y-intercept. To find the x-intercept, set y to zero and solve for x.

Now, According to the question:

Logarithmic functions will always have an x-intercept, but they may not have a y-intercept. Let's look at a simple example:

                        y = \(log_1_0x\)

A y-intercept would be located at the y value we get by plugging in a zero for x. The problem is that the function does not have zero as a part of its domain. It is not defined there, so there is no y-intercept. The x-intercept is the x value that causes y to be zero. For a basic logarithmic function like this, that is always x equals 1.

                            0 = \(log_1_0x\)

                            \(10^0\) = x

                            1 = x

Now we can shift, stretch, and reflect this model to change these results, but the basic idea is still the same. For example, let's consider this model:

                          y = \(log_1_0\) (x + 100) + 2

As always, we look for a y-intercept by plugging in a zero for x. In this case, we do get an answer. This is because of the 100 that is added to the argument of the logarithm.

                          y = \(log_1_0\) (0 + 100) + 2

                          y = 2 + 2 = 4

As always, to find the x-intercept, we set y to zero and solve for x

                              y = \(log_1_0\) (x + 100) + 2

                             -2 =  \(log_1_0\) (x + 100)

                             \(10^-^2\)  = x + 100             [By taking antilog on both sides ]

                             0.01 = x + 100

                               x = -99.99

So, no matter what the logarithmic function is, we can find the intercepts in this way. If there is a y-intercept, we can find it by plugging a zero for x and evaluating the function. If this produces an undefined value, then there is no y-intercept. To find the x-intercept, set y to zero and solve for x.

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martina has used a random sampling procedure that would be classified as a convenience sample .we can conclude that Martina's margin of error is 1.5.

Given: Average graduate student (upper limit) = 33

Random sample graduate student (lower limit) = 30

Formula to calculate margin of error is as follows.

Margin of error = upper limit - lower limit /2

Substitute the values into above formula as follows.

= 33-30/2

=1.5

Thus ,we can conclude that Martina's margin of error is 1.5.

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I hope it helps you ❤️❤️❤️

Answer:

a= 13/18 and b=5/16

Step-by-step explanation:

in A, multiply 4/9 by 2, you get 8/18 then add to it 5/18 you get 13/18

in B, multiply 3/8 by 2, you get 6/16 then subtract it by 1/16, you get 5/16

Answer:

-2/-3.

Step-by-step explanation:

Oh, this is easy!!

You need to find a point on the graph where it hits perfectly, for example, (2,-4), then use (-1,2).

Then use slope formula (y^2 - y^1/x^2 - x^1).

Plug in the X's and Y's.

Then, do  2 - (-4), and -1 - 2.

You'd get -2/-3 :)

(im not sure if im right, but i hope this helped!)

Let's consider a line with the equation:(-1, 2, 7) + t(3, 0, -3), 0 ≤ t ≤ 1. The direction vector of this line is (3, 0, -3).We must first find the normal vector to the plane that is perpendicular to the given plane. The equation of the given plane is 2 - 3 + 4 = 0, which means the normal vector is (2, -3, 4).

As the required plane is perpendicular to the given plane, its normal vector must be parallel to the given plane's normal vector. Therefore, the normal vector to the required plane is (2, -3, 4).We will use the point (-1, 2, 7) on the line to find the equation of the plane. Now, we have a point (-1, 2, 7) and a normal vector (2, -3, 4).The equation of the plane is given by the formula: ax + by + cz = d Where a, b, c are the components of the normal vector (2, -3, 4), and x, y, z are the coordinates of any point (x, y, z) on the plane. Then we have,2x - 3y + 4z = d. Now, we must find the value of d by plugging in the coordinates of the point (-1, 2, 7).2(-1) - 3(2) + 4(7) = d-2 - 6 + 28 = dd = 20Therefore, the equation of the plane is:2x - 3y + 4z = 20I hope that helps.

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A cumulative relative frequency distribution shows option (A) the proportion of data items with values less than the upper limit of each class

A cumulative relative frequency distribution shows the proportion of data items with values less than or equal to the upper limit of each class. It provides a cumulative summary of the data distribution by adding up the frequencies or proportions of all preceding classes.

To construct a cumulative relative frequency distribution, you start with the lowest class and calculate the relative frequency (proportion) of data items in that class. Then, for each subsequent class, you add the relative frequency of that class to the cumulative relative frequency from the previous class. This cumulative value represents the proportion of data items with values less than or equal to the upper limit of the current class.

In essence, a cumulative relative frequency distribution allows you to track the accumulation of data values as you move through the classes, giving insights into the overall distribution and the proportion of data items falling below specific values.

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The sedan gets 1090 miles per gallon on average, according to the ratio equation.

A ratio is an ordered pair of numbers a and b, denoted by the a / b, where b is not equal to zero.

If there are eight oranges and six lemons in a bowl of fruit, the orange-to-lemon ratio is eight to six.

Given: When the gas tank is 75% full, the mileage is recorded as 15,121.

A sedan tank is typically 18.5 gallons in size. So it holds 13.875 gallons of gas if it is 75% full. If it traveled 15,121 miles, the mileage per gallon is 1090, rounded to the nearest whole number.

The calculation of miles per gallon using the ratio equation:

Let, x = miles per gallon

15121:13.875 is the ratio.

x/1= 15121/13.875

13.875x = 15121

x = 15121/13.875

x = 1089.80, which equates to 1090 miles per gallon

As a result, the ratio equation used to calculate the sedan's miles per gallon averages 1090 miles per gallon.

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Answer:

C: 48

Step-by-step explanation:

14.5 x 3.28 = 47.56. (Round it up): FINAL ANSWER 48