The circle below has center O, and its radius Is 7 m. Given that m ZAOB=30°, find the length of the major arc ACB.

Solution

Answer: BD = 60.34

Step-by-step explanation:

8x -33 = 2x+37

Take away 2x from both sides ( the 2x will cancel out)

= 6x - 33= 37

Add the 33 to both sides. (The -33 will cancel out)

Now you are left with 6x = 70

Divide both sides by 6.

x = 11.67 (rounded by the hundredth) (11.66666...)

Now to figure out BD your new equation is 2(11.67) + 37

After multiplying you get 23.34 + 37.

BD = 60.34

Hope this helps. This is the way I learned.

The inequality expression given as 2 - |6 + 12x| > -28 has a solution of -3 < x < 2

From the question, the inequality is given as

2-|6+12x|>-28

Rewrite properly as

2 - |6 + 12x| > -28

Subtract 2 from both sides

- |6 + 12x| > -30

Divide both sides by -1

|6 + 12x| < 30

Remove the absolute bracket

So, we have the following representation

-30 < 6 + 12x < 30

Add -6 to all sides of the inequality

So, we have

-36 < 12x < 24

Multiply through by 1/12

So, we have

-3 < x < 2

Hence, the solution to the expression is -3 < x < 2

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Answer:

(-3, -8)

Step-by-step explanation:

The point is in the third quadrant, so both coordinates must be negative. -3 represents the x coordinate and -8 represents the y coordinate.

A general solution

\(y(x) = c1e^{3x} + c2e^{-x} + c3*e^{-4x}\)

To verify that the given functions form a fundamental solution set for the differential equation y''' + 2y" - 11y' - 12y = 0, we can use the Wronskian. The Wronskian is defined as:

W(x) = | y1(x) y2(x) y3(x) |

| y1'(x) y2'(x) y3'(x) |

| y1''(x) y2''(x) y3''(x) |

where y1(x), y2(x), and y3(x) are the given functions.

Using the given functions, we can compute the Wronskian as follows:

W(x) = |\(e^{3x} e^{-x} e^{-4x} || 3e^{3x} -e^{-x} -4e^{-4x} || 9e^{3x} e^{-x} 16e^{-4x}\)|

Expanding the determinant, we get:

\(W(x) = e^{3x}(-e^{-x}*16e^{-4x} + e^{-4x}e^{-x}) - (-e^{-x}(-4e^{-4x}) - (-e^{3x})*16e^{-4x})e^{3x} + (3e^{3x}(-e^{-x}*e^{-4x}) - e^{-x}*9e^{3x}*16e^{-4x})\)

Simplifying, we get:

W(x) = -23e^(-3x)

Since the Wronskian is nonzero everywhere, the functions {e^(3x), e^(-x), e^(-4x)} form a fundamental solution set for the differential equation.

To find the general solution of the differential equation, we can use the formula:

y(x) = c1y1(x) + c2y2(x) + c3*y3(x)

where c1, c2, and c3 are constants. Substituting the given functions, we get:

\(y(x) = c1e^{3x} + c2e^{-x} + c3*e^{-4x}\)

This is the general solution of the given differential equation.

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Answer:  It is highly unlikely to get both multiplication cards on the first try.

Part A      The question asked is: there are two multiplication cards out of one hundred cards including forty-two addition problem cards and fifty-six subtraction cards.What are the odds of getting just the multiplication cards.The assumption is this we are talking about the first try.

Part B       You make the multiplication cards,  card#1 and card#2. All other cards are #3-100. Then you use the random number generator to see odds of two numbers out of one hundred, which is 0.02%. as I did 2/100 x 1/99 then multiply by 100 so.02

Part C      I got 83 and 27as my first two numbers with my random number generator, So Malachi didn't get a multiplication card in this random test. card #1 and card #2 are the multiplication cards

Part D    The percentage of the time that you'd expect both multiplication cards to be picked is 0.002 or .2%. The proportion of the time that it happened here is 5/1500=.00333 or .33%, which means that this is pretty much in line with what you'd expect

Step-by-step explanation: I got a 10/10 on 3.07 essay test for honors statistics.

The first step is to subtract $500 from $2000 and then you end up with $1500 which you then divide by 5.

Each payment will have to be $300

Answer:

4

Step-by-step explanation:

Let x be the unknown number.

\(\begin{aligned}&\textsf{A number is raised to the third power}: & x^3&\\&\textsf{Subtracted from 15}: & 15-x^3&\\&\textsf{To get 7}: & 15-x^3&=7\end{aligned}\)

Solve the found equation for x:

\(\begin{aligned}&\textsf{Given}: & 15-x^3&=7\\&\textsf{Subtract $15$ from both sides}: & -x^3&=-8\\&\textsf{Divide both sides by $-1$}: & x^3&=8\\&\textsf{Rewrite $8$ as $2^3$}: &x^3&=2^3\\&\textsf{Cube root both sides}: & x&=2\end{aligned}\)

Therefore, the number squared is:

\(\implies x^2=2^2=4\)

The relationship between the optimal levels in the Complete Model of the Household can be explained by the intertemporal budget constraint and the condition given that β(1+r) = 1.

The intertemporal budget constraint states that the present value of lifetime consumption must equal the present value of lifetime income. This can be expressed as:

C + C'/(1+r) = Y + Y'/(1+r)

where Y represents income today and Y' represents income tomorrow.

Given the condition β(1+r) = 1, we can rewrite the intertemporal budget constraint as:

C + C'/(1+r) = Y + Y'/(1+r)

Since β(1+r) = 1, we have β = 1/(1+r). Substituting this into the intertemporal budget constraint, we get:

C + C'/(1+r) = Y + Y'/(1+r)

Now, if we rearrange the equation, we can isolate C':

C'/(1+r) = Y'/(1+r) - C + Y

Multiplying both sides by (1+r), we have:

C' = (1+r)(Y' - C + Y)

From this equation, we can see that the optimal level of consumption tomorrow (C') is determined by the difference between tomorrow's income (Y') and the difference between today's consumption (C) and today's income (Y), all scaled by (1+r).

In summary, the relationship between the optimal levels of consumption today and consumption tomorrow is influenced by the subjective discount factor β and the interest rate (r). The optimal level of consumption tomorrow is determined by the difference between tomorrow's income and the difference between today's consumption and today's income, scaled by (1+r).

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Answer:

The answer is D

Step-by-step explanation:

the standard equation for circle is (x －h)² ＋(y －k)² = r² which h is the x coordinate, k is the y coordinate, r is radius. In this case, both x coordinate and y coordinate are 0, so the left side of the equation is x² + y², since the radius is √249, the r² is 249. So the equation is x² + y² = 249, and the answer is D.

Hope this will help❤️

The new length of the living room floor would be 14.4 meters and the new width would be 6 meters.

1. Original Length = 12 meters  

2. Original Width = 5 meters

3. Increase by 20%

4. New Length = 12 + (20% of 12) = 12 + 2.4 = 14.4 meters

5. New Width = 5 + (20% of 5) = 5 + 1 = 6 meters

The original length of the living room floor was 12 meters and the original width was 5 meters. The owner decided to increase the living room dimensions by 20%, so the new length of the living room floor is 14.4 meters and the new width is 6 meters. This is calculated by adding 20% of the original length and width to the original values. For the length, this is 12 + (20% of 12) which is 12 + 2.4 = 14.4 meters. For the width, this is 5 + (20% of 5) which is 5 + 1 = 6 meters. The increase of 20% in the dimensions of the living room floor makes it look more spacious and inviting.

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Answer:

njgrjn djgb E THE ANSWER IS 3

Step-by-step explanation:

jbuyf6ctvyhbjnkmljinhubygvtb njmkbbhjcghxfgvjctguhvjhbjbhbyguyc

We have shown that if zo is a zero of a linear phase filter, then zo¹ = zo + Δz is also a zero. This holds true because the linear phase property ensures that the filter's phase response varies linearly with frequency, and hence, any frequency offset from zo will yield a corresponding zero in the transfer function.

For a linear phase filter, the phase response is linearly proportional to the frequency. Let's consider a linear phase filter with a zero at frequency zo. The transfer function of the filter can be expressed as H(z) = A(z - zo), where A is a constant and z represents the complex frequency variable.

To find the zero at zo¹, we need to analyze the filter's transfer function at a frequency offset from zo. Let's substitute z with (z - Δz) in the transfer function, where Δz represents a small frequency offset. The new transfer function becomes H(z - Δz) = A((z - Δz) - zo).

Now, let's evaluate the new transfer function at the frequency zo¹ = zo + Δz. Substituting zo¹ into the transfer function, we have H(zo¹ - Δz) = A((zo¹ - Δz) - zo).

Expanding the equation, we get H(zo¹ - Δz) = A(zo¹ - Δz - zo) = A(zo - zo + Δz - Δz) = A(0) = 0.

Therefore, we have shown that if zo is a zero of a linear phase filter, then zo¹ = zo + Δz is also a zero. This holds true because the linear phase property ensures that the filter's phase response varies linearly with frequency, and hence, any frequency offset from zo will yield a corresponding zero in the transfer function.

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The given series involves the terms (2n)!/(n!)² In(n)/(n+5) for n starting from 1 and going to infinity.

To determine whether the series converges or diverges, we can use the ratio test. The ratio test states that if the limit of the absolute value of the ratio of consecutive terms is less than 1, then the series converges. If the limit is greater than 1 or does not exist, then the series diverges.

Let's apply the ratio test to the given series. The ratio between consecutive terms can be calculated as follows:

lim (n→∞) |[(2(n+1))! / ((n+1)!² In(n+1))] / [(2n)! / (n!² In(n))]|

= lim (n→∞) |(2(n+1))! (n!² In(n)) / ((n+1)!² In(n+1)) (2n)!|

We can simplify this expression by canceling out common terms:

= lim (n→∞) |(2n+2)(2n+1)/(n+1)²In(n+1)|

As n approaches infinity, the limit of this expression can be simplified to:

= lim (n→∞) |[(2n+2)(2n+1)/(n+1)²] * [1/In(n+1)]|

Since the limit of the first term is 4 (constant), and the limit of the second term approaches 0 (as In(n+1) grows larger), the overall limit is 0. This means that the ratio of consecutive terms approaches 0 as n tends to infinity.

Since the limit of the ratio is less than 1, according to the ratio test, the series diverges.

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Answer:

x = 54

Step-by-step explanation:

In this line, I am going to assume lines l and m are parallel.

Each flat surface is half of a circle, therefore it has 180 degrees. We are given one side and told to find the other.

180 - 116 = 64.

The other angle's total value must be 64.

Now, to solve for x, subtract 10 from 64 [inverse operations].

64-10=54

The value of x in this equation is 54 degrees.

Answer:

4+2+$36.75= $42.75

Step-by-step explanation:

4+2+36.75

6+36.75

42.75

Alternative Form

171/4,42 3/4

Answer:

4+2+$36.75=$42.75.

Step-by-step explanation:

6+36.75=42.75

An expression that represents the total amount (a) that Hudson paid is

a-a/10×2+{(a/10×2)/20}.

So, the expression that represents the total amount Hudson paid:

We know that,

Then, the expression can be as follows:

Therefore, an expression that represents the total amount (a) that Hudson paid is a - a/10 × 2 + {(a/10×2)/20}.

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This tip can be used for C. Multiple-choice questions.

The tip "If your answer is not among the choices, try writing it in a different form" is most applicable to multiple-choice questions on the math section of the PSAT.

This is because multiple-choice questions typically give a set of answer choices to select from, and if the student's calculation or solution does not match any of the choices, they can try to rewrite it in a different form that may match one of the choices.

For example, if the question asks for the solution of an equation in simplified radical form and the student's answer is in decimal form, the student can try converting their answer to simplified radical form.

This tip is not as useful for Grid-in questions, Matching sections, or Fill-in-the-blank questions since the answer is not given in multiple choices and the student needs to write the answer themselves.

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Complete question is given as:

Read the following tip. "If your answer is not among the choices, try writing it

in a different form." For which questions on the math section of the PSAT

could you use this tip?

A. Grid-in questions

B. Matching sections

4

C. Multiple-choice questions

D. Fill-in-the-blank questions

Answer:

multiple choice questions

Step-by-step explanation:

The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

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The standard deviation of a point estimator is called the "standard error

What is standard deviation ?

Standard deviation is a statistical measure that describes the amount of variation or dispersion in a set of data. It is the square root of the variance, which is the average of the squared differences from the mean. A high standard deviation indicates that the data points are spread out over a wider range, while a low standard deviation indicates that the data points are clustered closer together. Standard deviation is commonly used in fields such as finance, engineering, and science to describe the variability of data and to make statistical inferences about a population based on a sample.

To calculate the standard deviation of a set of data, you can follow these steps:

Find the mean (average) of the data set.

For each data point, subtract the mean and square the result.

Sum the squared differences from step 2.

Divide the sum from step 3 by the number of data points minus one (this is called the sample variance).

Take the square root of the sample variance to get the standard deviation.

Here's an example using a set of data: 4, 6, 8, 10, 12

Find the mean: (4 + 6 + 8 + 10 + 12) / 5 = 8

For each data point, subtract the mean and square the result:

(4 - 8)² = 16

(6 - 8)²= 4

(8 - 8)² = 0

(10 - 8)² = 4

(12 - 8)² = 16

Sum the squared differences: 16 + 4 + 0 + 4 + 16 = 40

Divide by the number of data points minus one: 40 / 4 = 10 (sample variance)

Take the square root of the sample variance: sqrt(10) = approximately 3.16

Therefore, the standard deviation of the data set is approximately 3.16.

and The standard deviation of a point estimator is called the "standard error

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The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

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The amount Annah spends in 21 days is k24. 00

To determine the value that Annah spends in 21 days, we need to know the following conversion factors;

1 week = 7 days

4 weeks = 1 month

12 months = 1 year

Also, note that proportion is described as an equation made equal to another

From the information given, we have that;

1 week = 7days

x weeks = 21 days

cross multiply

x = 3 weeks

Then,

if k8. 00 = 1 week

then x = 3 weeks

x = k24. 00

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Answer:

Absolute value means taking the positive value, ie drop the negative sign.

Absolute value brackets are: | value |

|(4,-4)| = (4,4)

|(-3,-4)| = (3,4)

Hope that helps

Answer:

The answer would be A. 3

Step-by-step explanation:

What we would have to look for would be our minimum, which is found at the far left. That would give us our answer of 3.

Hope this helps you <3

The estimated actual temperature, when the temperature adjusted for wind chill is -35 degrees Fahrenheit, is approximately -6.923 degrees Fahrenheit.

To estimate the actual temperature if the temperature adjusted for wind chill is -35 degrees Fahrenheit, we can use the given formula:

V = -26 + 1.3x, where V represents the temperature adjusted for wind chill and x represents the actual temperature.

We are given that the temperature adjusted for wind chill is -35 degrees Fahrenheit.

Let's substitute this value into the formula and solve for x:

-35 = -26 + 1.3x

To isolate x, we can subtract -26 from both sides of the equation:

-35 + 26 = 1.3x

Simplifying the left side of the equation:

-9 = 1.3x

Now, divide both sides of the equation by 1.3:

-9/1.3 = x

Calculating the value:

x ≈ -6.923

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On average, Brooke put approximately 1.6 cups of flour in each cake.

To find the average, we need to divide the total amount of flour used by the number of cakes.

Brooke used a total of 8 cups of flour to bake 5 cakes.

To find the average amount of flour per cake, we divide the total amount of flour by the number of cakes:

The average amount of flour per cake = Total amount of flour used / Number of cakes

Average amount of flour per cake = 8 cups / 5 cakes

Dividing 8 cups by 5 cakes, we get:

Average amount of flour per cake = 1.6 cups

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Answer:

me dont know solve it your self HAHAHHH loser

Step-by-step explanation:

To fill in each blank so that the values are in order from smallest to largest, we have;

4° , 1⁴ = 4, 2² , 3³ , 4³ , 2⁹

We need to know that index forms are defined as mathematical forms used to represent numbers or variables that are too large or too small in more convenient forms.

These index forms are also known as scientific notation or standard forms.

Some examples of index forms are;

3²

4³

2³

From the information given, we have that;

To arrange the numbers;

4° = 1

1⁴ = 4

2² = 4

3³ = 27

4³ = 64

2⁹ = 512

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Step-by-step explanation:

the amswer to this qiestion would be C