List your questions you have down below so I can help you answer them I am really good at math :))

The end of the long hand of the clock travels about 78.54 inches (25π) in 2 1/2 hours.

Clock can be defined as a machine in which a device that performs regular movements in equal intervals of time is linked to a counting mechanism that records the number of movements

The long hand of the clock completes one full revolution in 12 hours. Therefore, in one hour, it travels a distance equal to the circumference of a circle with a radius of 5 inches, which is given by 2πr = 2π(5) = 10π inches.

In 2 1/2 hours, the long hand of the clock travels a distance equal to (2 1/2) x 10π = 25π inches.

So, the end of the long hand of the clock travels about 78.54 inches (25π) in 2 1/2 hours.

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Answer:

Surface area is 164 ft^2.

Step-by-step explanation:

2(10*4) + 2(10*3) + 2(4*3) = 164 ft^2

Answer:

Step-by-step explanation:

Rent amount per x miles

Company A

Company B

Finding the value of x

Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.

For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.  

The mean of the binomial distribution is:

\(E(X) = np\)

The standard deviation of the binomial distribution is:

\(\sqrt{V(X)} = \sqrt{np(1-p)}\)

In this problem:

Then:

\(E(X) = np = 200(0.06) = 12\)

\(\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{200(0.06)(0.94)} = 3.36\)

The mean of X is of 12, with a standard deviation of 3.36.

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Answer:

Step-by-step explanation:

Let the number of buses be x and vans be y.

Equations as per given:

Substitute y and solve for x the second equation:

Then finding y:

The answer is 14 buses and 5 vans

The town's population after 10 years is approximately 805,500

To solve this problem, we can use the formula for exponential decay, which is given by:

\(P(t) = P_{0} e^{rt}\)

where P(t) is the population at time t, P₀ is the initial population, r is the annual decay rate as a decimal, and e is the mathematical constant approximately equal to 2.71828.

In our case, the initial population P₀ is 400,000, and the annual decay rate r is 7%. We convert 7% to a decimal by dividing by 100, which gives us r = 0.07.

We want to find the population after 10 years, so we substitute t = 10 into the formula:

\(P(10) = 4,00,000e^{0.07*10}\)

Simplifying this expression, we get:

\(P(10) = 400,000e^{0.7}\)

\(e^{0.7}\) = approximately 2.01375

P(10) = 400,000 * 2.01375

P(10) ≈ 805,500

Therefore, the town's population after 10 years is approximately 805,500.

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Complete Question

The Population of a town today is 4,00,000 people. if the population decreases exponentially at a rate of 7% a year, what will the town's population be in 10 years?

If the resulting F-statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the variances are significantly different.

The F-test is a statistical test used to compare the variances of two groups.

In this problem, we will use it to compare the variance of the value added by the manufacturer and the variance of the cost of materials in manufacturing. The F-test is performed by dividing the larger variance by the smaller variance. The resulting F-statistic is then compared to the critical value of an F-distribution with degrees of freedom equal to the sample size minus one for each group.

Before we can perform the F-test, we need to determine which variable will be group 1. Typically, the variable with the smaller mean is designated as group 1. This is because we want to minimize the chance of making a type II error, which is failing to reject the null hypothesis when it is false. If we designated the variable with the larger mean as group 1, we might not detect a significant difference between the groups, even if one exists.

Once we have designated which variable will be group 1, we can perform the F-test. If the resulting F-statistic is greater than the critical value of the F-distribution, we reject the null hypothesis and conclude that the variances are significantly different.

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Answer:

its A

Step-by-step explanation:

(a) The probability of obtaining two rods of the desired length is (100/200) * (99/199) = 0.495.

This can be found by using the formula for independent events:

P(A and B) = P(A) * P(B)

Since the two draws are of rods without replacement,

the probability of the first-rod being of the desired length = 100/200 (there are 100 desired-length rods out of a total of 200).

The probability of the second-rod being of the desired length = 99/199 (since one of the desired length rods has already been drawn). Multiplying these two probabilities gives us the answer.

(b)The probability of obtaining exactly one rod of the desired length

=(100/200) * (100/199) + (100/200) * (100/199)

= 0.990.

This can be found by using the formula for the union of two events: P(A or B) = P(A) + P(B).

Since the two draws are rods without replacement, the first draw has a probability of 100/200 of being of the desired length (there are 100 desired-length rods out of a total of 200).

The probability of the second draw being of the desired length is 100/199 (since one of the desired length rods has already been drawn). Adding these two probabilities gives us the answer.

(c) The probability of obtaining none of the desired length is (50/200) * (50/199) = 0.015.

This can be found by using the formula for independent events

: P(A and B) = P(A) * P(B).

Since the two draws are of rods without replacement, the probability of the first-rod being of the undersized length is 50/200 (there are 50 undersized rods out of a total of 200).

The probability of the second-rod being of the undersized length is 50/199 (since one of the undersized rods has already been drawn). Multiplying these two probabilities gives us the answer.

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The equation ㏑ 5 + 4 ㏑ x = 2 ㏑5 is equivalent to 4 logx=log 5

Two or more expressions with an Equal sign is called as Equation.

Given equation is ㏑ 5 + 4 ㏑ x = 2 ㏑5

log 5+logx⁴= 2log5

logx⁴=2 log 5 -log5

logx⁴=log5

4 logx=log 5

Hence, the equation ㏑ 5 + 4 ㏑ x = 2 ㏑5 is equivalent to 4 logx=log 5

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Answer: 1024 inches

Step-by-step explanation:

New Murals,

Length= 245+33 =278 inches

Width = 234 inches

Perimeter= 2*(278+234) = 1024 inches

Answer:

B and D

Step-by-step explanation:

As asked by the question, the value of K for a given equation of a line is equal to the slope of the line.

A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.

A line's steepness may be determined by looking at its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).

The value of K for a given line is equal to the slope of the line. Since lines are generally expressed in the form of y = mx +b , where m is the slope of the line and b is the y-intercept of the line. Here , the value of K will be equal to the slope m of the line.

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Triangles can be inscribed in and circumscribed around circles, and circles can be inscribed in and circumscribed around triangles.

There are several relationships between triangles and circles, including:

Incenter: The incenter of a triangle is the center of the circle that is tangent to all three sides of the triangle.

Circumcenter: The circumcenter of a triangle is the center of the circle that passes through all three vertices of the triangle.

Orthocenter: The orthocenter of a triangle is the point where the altitudes of the triangle intersect. The circumcircle of a triangle passes through the orthocenter.

Inscribed angle: An inscribed angle of a circle is an angle whose vertex lies on the circle, and whose sides are chords of the circle. The measure of an inscribed angle is half the measure of the intercepted arc.

Tangent: A tangent to a circle is a line that intersects the circle at exactly one point. If a line is tangent to a circle at a point, then it is perpendicular to the radius at that point.

Similarity: If two triangles are inscribed in the same circle and share a common chord as a side, then they are similar.

These relationships have important applications in geometry and trigonometry, and can be used to solve problems involving triangles and circles.

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The given system of differential equations is dx = ax + by and dy = cx + dy. To determine the functions x(t) and y(t) as a function of time, we need to solve the system for different values of the coefficients a, b, c, and d. We will consider three cases: (a) b = 1, c = 4, (b) a = 2, d = -1, and (c) a = -2, b = -1. We will find the general solutions, particular solutions with the given initial conditions, and describe their asymptotic behavior.

Case (a): For b = 1 and c = 4, we have dx = ax + y and dy = 4x + y. Solving these equations yields the general solutions x(t) = Ce^(at) - t - 1 and y(t) = De^(at) + 4t - 3, where C and D are constants. Applying the initial conditions x(0) = 1 and y(0) = 0, we can determine the particular solutions x(t) = e^(at) - t - 1 and y(t) = 4t - 3.
Case (b): For a = 2 and d = -1, the system becomes dx = 2x + by and dy = cx - y. The general solutions are x(t) = Ce^(2t) - (b + 1)y and y(t) = De^(2t) + cx - y, where C and D are constants. Substituting the initial conditions x(0) = 1 and y(0) = 0, we find the particular solutions x(t) = e^(2t) - (b + 1)y and y(t) = (c - 1)e^(2t) + cx.
Case (c): In this case, a = -2 and b = -1, resulting in dx = -2x - y and dy = cx - y. The general solutions are x(t) = Ce^(-2t) + (1 - c)y and y(t) = De^(-2t) + cx - y, where C and D are constants. Using the initial conditions x(0) = 1 and y(0) = 0, we obtain the particular solutions x(t) = e^(-2t) + (1 - c)y and y(t) = (2c - 1)e^(-2t) + cx.
The asymptotic behavior of the particular solutions can be described by examining the exponential terms in the general solutions. If the coefficients in front of the exponential terms are positive, the solutions will approach infinity as t approaches infinity. Conversely, if the coefficients are negative, the solutions will approach zero. Additionally, the presence of linear terms (such as -t or 4t) will affect the overall behavior of the solutions.

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Answer:

JK = 14

Step-by-step explanation:

Since, J is between H and K.

Therefore,

HJ + JK = KH

4t - 15 + 5t - 6 = 15

4t + 5t - 15 - 6 = 15

9t - 21 = 15

9t = 15 + 21

9t = 36

t = 36/9

t = 4

JK = 5t - 6 = 5*4 - 6 = 20 - 6 = 14

It is the fourth one because n could be any number on that red line because it’s is greater than -3

Answer:

The 4th option on the picture

Step-by-step explanation:

First, we can find -3 on the number line. Next, the inequality doesn't say n is greater than or equal to -3 (When you have a line under the greater sign, it means greater than or equal to), it says that n is greater than -3, so you don't fill in the dot. We know that to be greater than something, you point the line to the right side of the point (And we plot less than a point is to go left of the point), so we have all of the data to plot the line. The point is at -3 and isn't filled in and goes right of -3. Therefore, the answer is the 4th one.

To write 9 in Roman Numerals, you would use the symbols "IX".

The symbol "I" represents the number 1 and the symbol "X" represents the number 10. When a smaller symbol is placed before a larger symbol, it means that the smaller symbol is subtracted from the larger symbol.

In this case, "I" is placed before "X", so it is subtracted from 10, giving us the value of 9.

Here is a step-by-step explanation:

1. Identify the symbols for 1 and 10: "I" and "X"
2. Place the smaller symbol before the larger symbol: "IX"
3. Subtract the smaller symbol from the larger symbol: 10 - 1 = 9
4. The result is the value of the Roman Numeral: "IX" = 9

Therefore, the Roman Numeral for 9 is "IX".

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The required number of breads based on given data in the question is 40

Probability is defined as the getting an random event out of total number of events.simply, it is the ratio of number of favorable outcomes to total number of outcomes.

We have given total number of breads are 50

It is said that jake has already recorded 16 blue and 4 green beads based on the result, take randomly pulls out a bead from the bag, records the color, and replaces it in the bag

Total recorded breads = 16 + 4 = 20

And, recorded blue breads = 16

probability = 16/20 = 0.8

Now number of blue breads = 50×0.8 = 40 breads.

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Answer:

Step-by-step explanation:

Domain: [-4,-2,0,2,4]

Range: [2,4,6,8,10]

Step-by-step explanation:

Stan seventeen and stream rock with you

Answer:

<A = 120degrees

<B = 80degrees

<C = 60degrees

<D = 100degrees

Step-by-step explanation:

For a cyclic quadrilateral, the sum of the adjacent angle of the quadrilateral are equal, hence;

<A + <C = 180

<B + <D  = 180

Substitute the given values

4x+20+4y = 180

4x+4y =1 60

x + y = 40 ...1

Similarly;

3x+5+7y - 5 = 180

3x+7y = 180 ....2

Solving simultaneously

x + y = 40 ...1 .....* 3

3x+7y = 180 ....2 ...... *1

__________

3x + 3y = 120 ...1 .

3x+7y = 180 ....2

Subtract

3y - 7y = 120 - 180

-4y = -60

y = 15

Since x+y = 40

x + 15 = 40

x = 40 - 15

x = 25

<A = 4x+20

<A = 4(25)+20

<A = 120degrees

<C = 180 - <A

<C = 180 - 120

<C = 60degrees

<B = 3x+5

<B = 3(25)+5

<B = 80degrees

<D = 180 - <B

<D = 180 - 80

<D = 100degrees

Step-by-step explanation:

We want Blue balls & total number of balls is 7

Therefore,

probability \: of \: getting \: blue \: ball \: is \: \frac{3}{7}probabilityofgettingblueballis

3/7

So,

first is your answer

(a) The graph is a curved surface , (b) The graph is a flat surface or a horizontal plane at z = 4 , (c) The vector function is r(θ) = (3cosθ, 3sinθ, 4) with counterclockwise direction.

(a) The equation \(x^2 + y^12 = 9\)represents a curve in \(R^3\). To visualize this graph, we need to consider the third variable, z. However, the equation does not contain any information about z, so we can choose any value for it. Let's consider z = 0. Now, we have \(x^2 + y^12 = 9\)in the xy-plane. This equation represents a circle centered at the origin with a radius of 3. When we extend this circle along the z-axis, we obtain a cylindrical surface that stretches infinitely in the positive and negative z-directions. Therefore, the graph of this equation is a curved surface.

(b) The set of points satisfying\(x^2 + y^2 = 9\)and z = 4 forms a circle in the xy-plane with a radius of 3, centered at the origin. Additionally, all points lie at z = 4, which means the graph is a flat surface parallel to the xy-plane. Therefore, the graph of this equation is a flat surface or a horizontal plane located at z = 4.

(c) To find a vector function for the graph described in part (b) with counterclockwise direction, we can parameterize the equation using polar coordinates. Let's represent the angle in the xy-plane as θ. Then, x = 3cosθ and y = 3sinθ, as these equations describe a circle with a radius of 3. Since z is constant at z = 4, we can express the vector function as r(θ) = (3cosθ, 3sinθ, 4), where θ ranges from 0 to 2π. This vector function traces out the circle in the xy-plane at z = 4 in a counterclockwise direction.

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Answer: B sorry if I am wrong

Step-by-step explanation:

Answer:

1 × 7 is 7, 7 ×3 is 21

Step-by-step explanation: if this isn't what you meant then tell me, and ill tell you the answer

Answer:

125/18

Step-by-step explanation:

1 1/2+ 3 2/3+ 1 7/9 =125/18

Answer: 125/18

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

a line with an undefined slope is a vertical line that has always the same x

x = 7

Answer:

The answer is 0

Step-by-step explanation:

Because, the absolute value of 0 is 0

Just like l9l=9

orl-9l=9

It just removes the negative.

Answer:

0.

Step-by-step explanation:

Those two lines represent that's it absolute value. Which means the numbers result is its distance from 0. However this isn't even one from 0. Meaning it is just 0.