The Bunging Brothers Circus is in town and you are part of the crew that
is setting up its enormous tent. The center pole that holds up the tent
is 70 feet tall. To keep t upright, a support cable needs to be atached to
the top of the pole so that the cable forms a 60 angle with the ground. Pls I need help

Answer:

20

Step-by-step explanation:

30/360 x 240 = 20

Step-by-step explanation:

Angle of C is 30°

30/360*240

=20

Answer:

g(x) = (\(\sqrt{x-3}\))/3 + 5

Step-by-step explanation:

f(x) = \(\sqrt{x}\) + 5

\(\sqrt{x}\) + 5  ==> 1/3 * \(\sqrt{x}\) + 5  ==> vertical shrink is when the function's y-coordinates shrink from the y-intercept (5 is the y-int) by a factor of 1/3

\(\sqrt{x}\)/3 + 5 ==>( \(\sqrt{x-3}\))/3 + 5 ==> in order to translate the graph 3 units to the right, subtract x by 3 since x is being affected when the graph moves left/right. In addition, x now has to be 3 units greater in order for the function to have the same value:

\(\sqrt{4-3}\) = \(\sqrt{1}\)

4 > 1 and 4 = 1 + 3

Hence, g(x) = (\(\sqrt{x-3}\))/3 + 5

Given that students turn in their homework and a teacher rewards them with computer time and the more frequently they turn in their homework, the more they are allowed to use the computers. Students have been turning in their homework with increasing frequency, therefore, the computer time is serving as a POSITIVE REINFORCEMENT.

Positive reinforcement is a behavior modification strategy that entails rewarding or reinforcing a certain action to encourage it to happen again. It is a technique used in operant conditioning, a theory of behavior management that uses rewards and punishments to shape behavior. In other words, positive reinforcement entails the addition of a positive stimulus following a specific action that leads to an increase in the likelihood of that action repeating in the future.

Example, The parents of a child give them $5 for every good grade received, resulting in better grades in the future.

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There are 46 bit strings of

length

256 that have exactly 150 0's and no double 1's in the sequence.

To solve this problem, we can first choose the positions of the 150 0's in the string. This can be done in $\binom{256}{150}$ ways.

Next, we need to place the 106 remaining bits (256 - 150 = 106) in such a way that there are no consecutive 1's. We can approach this problem recursively. Let $f(n)$ be the number of valid bit strings of length $n$. If the last bit is a 0, then there are $f(n-1)$ ways to arrange the remaining bits. If the last bit is a 1, then the second to last bit must be a 0, so there are $f(n-2)$ ways to arrange the remaining bits. Therefore, we have the recurrence relation $f(n) = f(n-1) + f(n-2)$ with

initial conditions

$f(1) = 2$ and $f(2) = 3$ (since we cannot have two consecutive 1's).

Using this recurrence relation, we can calculate $f(106)$, the number of valid bit strings of length 106, which turns out to be 5736968450.

Therefore, the total number of bit strings of length 256 with exactly 150 0's and no consecutive 1's is $\binom{256}{150} \cdot f(106) \approx 1.836 \times 10^{60}$.

Note: The reason we can approach this problem recursively is because the validity of a bit string of length $n$ only depends on the last two bits of the string. Therefore, we can break down the problem into smaller subproblems and use the previous solutions to build up to the solution for the original problem.
The number of bit strings of length 256 that have exactly 150 0's and no double 1's in the sequence can be determined using combinatorics.

First, consider that there will be 150 0's and 106 1's in the

sequence

. As we don't want any consecutive 1's, we can place each 1 between the 0's. Since there are 150 0's, there are 151 possible spaces for the 1's (including before the first 0 and after the last 0). Now, we need to place 106 1's in these 151 spaces without having any consecutive 1's.

We can treat this as a problem of

distributing

106 1's into 151 "bins" (spaces between 0's). To avoid having consecutive 1's, we can place at most 1 bit in each bin. To achieve this, we can first place 105 1's into 105 of the 151 bins. Now, we have 1 bit left to place and 46 bins remaining (151 - 105 = 46).

This problem now becomes a matter of selecting which of the 46 remaining bins the last 1 should be placed in. This can be done in 46 different ways, as there are 46 possible bins to choose from. Therefore, there are 46 bit strings of length 256 that have exactly 150 0's and no double 1's in the sequence.

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Answer:

1235%

Step-by-step explanation:

12.35

12.35=12.35×100% =1235%

[Shifted the decimal point two steps towards right]

∴12.35=1235%

Answer:

1235%

Step-by-step explanation:

12.35

=> 12.35 x 100/100

=> 1235/100

=> 1235%

Answer:

the correct answer is b

Step-by-step explanation:

i just took a quiz on ap3x, i hope this helped! have a blessed day! :))

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The correct option is graph B.

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.

y = a(x-h)² + k

where,

(h, k) are the coordinates of the vertex of the parabola in the form (x, y);

a defines how narrower is the parabola, and the "-" or "+" that the parabola will open up or down.

Given that the function f(x)=x², which represents a parabola, therefore, the function of g(x) can be represented as,

\(g(x)=\dfrac13 f(x)\\\\g(x)=\dfrac13 x^2\)

Now, if we compare the function g(x) with the general equation of a parabola, therefore, the value of 'a' will be 1/3 which means that the function will open wider than f(x).

Thus, the correct option is graph B.

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The number of ways to replace all the -1s in the array is zero.

The array can be represented as a wave if and only if the number of -1s is even. This is because each -1 must be replaced with a positive integer in order to create a wave, and replacing one -1 with a positive integer will create a new -1 on the opposite side of the wave. Therefore, if there are an odd number of -1s, it is impossible to create a wave.

In the given array, there are 7 -1s, which is an odd number. Therefore, it is impossible to replace the -1s with positive integers in such a way that the resulting array can be represented as a wave.

The number of ways to replace the -1s with positive integers in the range 1 to m is:

(m^7) mod (10^9) = (m^7)

However, since it is impossible to create a wave with this array, the final answer is 0.

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True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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It is False.

Horizontal analysis is a financial analysis technique that compares financial data for a company over a period of time, typically several years, to identify trends and changes. It involves comparing line items from financial statements, such as the income statement or balance sheet.

While horizontal analysis primarily focuses on percentage changes in line items from one year to another, it can also be used to compare changes in line items between different quarters or other periods of time. This is because the technique involves calculating the percentage change in a line item from one period to another, regardless of the time frame.

Therefore, horizontal analysis can be used to analyze financial data for any period of time, and is not limited to comparing year-over-year changes. It is a useful tool for identifying trends and patterns in financial data, and can be used by companies, investors, and other stakeholders to make informed financial decisions.

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The number of triangles with all three vertices in the interior of the circle that are created Since we have chosen 8 points on a circle and every pair of points is connected with a chord, the total number of chords will be 28 (by choosing any two points from 8 points.

We get the number of chords which is given by the formula $\frac{n(n-1)}{2}$). Also, no three chords intersect in a single point inside the circle. Therefore, every triangle will be formed by selecting 3 chords from the total 28 chords. But, we need to remember that some of these triangles will lie on the circle.

We know that if we choose three points on a circle, then a triangle will lie on the circle. Thus, to find the number of triangles that lie on the circle, we need to choose any three points from 8 points on the circle. Thus, the number of triangles with all three vertices in the interior of the circle that are created is:$$\ large 3520-56=3464$$ Hence, the main answer is 3464.

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No , it is not possible to form a triangle with side lengths 3.5, 3.5, and 9 , because of the rule that sum of any two sides must be greater than other side. So, Option D is correct.

A triangle is a two-dimensional shape formed by three line segments connecting three points. In order to form a triangle, a necessary and sufficient condition is that the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem.

If the sum of the lengths of any two sides is less than or equal to the length of the third side, then the three line segments will not be able to form a closed shape, and therefore cannot form a triangle.

In the case of the triangle with side lengths 3.5, 3.5, and 9, the sum of the lengths of the first two sides is 7, which is less than the length of the third side, 9. Hence, these three side lengths do not satisfy the triangle inequality theorem, and therefore cannot form a triangle.

In general, to determine the type of triangle that can be formed with three given side lengths, it is necessary to compare the lengths of the sides and check if any two sides are equal in length (isosceles), or if all three sides are equal in length (equilateral). If none of the sides are equal, then the triangle is called scalene.

In this case, since it is not possible to form a triangle with the given side lengths, it is not possible to determine the type of triangle that would be formed.

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By using a protractor or visual estimation, we can estimate the measure of angle ABC to the nearest degree.

To answer your question, let's first start with defining what an angle is. An angle is formed by two rays or line segments that share a common endpoint, called the vertex. The measure of an angle is usually given in degrees and is determined by how much the two rays are turned away from each other.

Now, let's look at the specific angle you asked about, angle ABC. Without a diagram or any additional information about the position of point B and C, it is impossible to determine the measure of angle ABC. However, we can make some general assumptions based on the fact that angle measures range from 0 to 360 degrees.

Assuming that angle ABC is a standard angle and not a reflex angle (i.e. it measures less than 180 degrees), we can estimate the measure of angle ABC to the nearest degree by using a protractor or by visual estimation. A protractor is a tool used to measure angles in degrees, and can be found at most office supply stores or online.

If we don't have access to a protractor, we can still estimate the measure of angle ABC by comparing it to other angles we know the measure of. For example, if angle ABC looks to be about halfway between a right angle (90 degrees) and a straight angle (180 degrees), we can estimate that angle ABC measures around 135 degrees.

In summary, without additional information about the specific position of points B and C, we cannot determine the exact measure of angle ABC. However, by using a protractor or visual estimation, we can estimate the measure of angle ABC to the nearest degree.

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The inequalities that can be used to determine the possible number of bass in the pond over time are:

\(P > =250e^{0.048t} , P < =275e^{0.048t}.\)

Rachel has a large pond on her property. The pond contains many different kinds of fish including bass. She knows that the population of bass is increasing exponentially each year at a rate of 4.8%. She also knows that there are currently between 250 and 275 basses in the pond.

Inequalities

Given:

r=4.8/100=0.048

Initial amount:

Lower end=250

Upper end=275

Using this equation to determine the inequalities

A=p×e^rt

Where:

A=Amount

P=Population

r=Growth rate

t=Time

Let's plug in the formula

Inequalities:

\(P > =250e^{0.048t}P < =275e^{0.048t}\)

Therefore the inequalities are : \(P > =250e^{0.048t} , P < =275e^{0.048t}.\)

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Answer:8x=10y

Step-by-step explanation:

A proportional relationship between the number of stickers Xander buys, x, and the total cost, y is 8x=10y.

Given that, Xander pays $8 for 10 skateboard stickers.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".

Given, the number of stickers Xander buys, x, and the total cost, y.

Now, 8x=10y

⇒ x/y = 10/8

Therefore, a proportional relationship between the number of stickers Xander buys, x, and the total cost, y is 8x=10y.

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Answer:

  6 hours

Step-by-step explanation:

Dora wants to know how long she can keep 2 candles burning at all times if she has candles of lengths 3, 4, and 5 hours. She can start or stop burning any time.

The candles have a total burning time of 3+4+5 = 12 hours.

If two are burning at once, the longest time they can burn is 12/2 = 6 hours. To ensure this is correct, we need a plan for the burning that will allow this duration to be achieved.

For the 1st hour, burn the 3- and 4-hour candles. (Blow out the 4-hour candle.)

For the next 2 hours, burn the 3- and 5-hour candles. (The 3-hour candle is done.)

For the last 3 hours, burn the 4- and 5-hour candles.

Only the 4-hour candle is stopped and started again after it is lit. the other two remain lit for their duration.

Dora can burn 2 candles at once for a total of 6 hours.

__

Additional comment

The pairings (3, 4 for 1 hour), (3, 5 for 2 hours), (4, 5 for 3 hours) can be done in any order. In different orders, different candles need to be restarted.

<95141404393>

Answer: They are all symmetry :)

Step-by-step explanation:

Divide all the shapes with a straight line

a. True. The product of two 2 x 2 matrices A and B is given by the formula AB = [a1*b1 + a2*b3, a1*b2 + a2*b4; a3*b1 + a4*b3, a3*b2 + a4*b4], where a1, a2, a3, and a4 are the elements of A and b1, b2, b3, and b4 are the elements of B.

In this case, the columns of A are ay and az, and the columns of B are bI and ba. So, the product AB is given by [ay*bI + az*ba, ay*ba + az*bb], which is equivalent to [a,b ab].

b. True. Each column of AB is a linear combination of the columns of B using weights from the corresponding column of A. This is because the elements of each column of AB are obtained by multiplying the elements of the corresponding column of A with the elements of the corresponding row of B and summing the products.

c. True. The sum of two matrices is obtained by adding the corresponding elements of the matrices.

So, AB+ AC = [a1*b1 + a2*b3 + a1*c1 + a2*c3, a1*b2 + a2*b4 + a1*c2 + a2*c4; a3*b1 + a4*b3 + a3*c1 + a4*c3, a3*b2 + a4*b4 + a3*c2 + a4*c4] = [a1*(b1+c1) + a2*(b3+c3), a1*(b2+c2) + a2*(b4+c4); a3*(b1+c1) + a4*(b3+c3), a3*(b2+c2) + a4*(b4+c4)] = A(B+C).

d. True. The transpose of a matrix is obtained by flipping the matrix along its main diagonal. So, AT + BT = [a1, a3; a2, a4] + [b1, b3; b2, b4] = [a1+b1, a3+b3; a2+b2, a4+b4] = (A + B)T.

e. False. The transpose of a product of matrices equals the product of their transposes in the reverse order. So, if A and B are two matrices, then (AB)T = BT*AT.

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The height of plant B growing at a rate of 3.33 centimeters per week should have a height of 19.98 cms.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

First we need two points (x, y) to obtain the slope.

Assuming height to be 'y' and weeks to be 'x'.

Therefore, (0, 0) and (3, 10) are the two points.

Slope(m) = (10 0)/(3 - 0).

Slope(m) = 10/3.

Slope(m) = 3.33

Now, To obtain the y-intercept.

10 = 3(3.33) + b

b = 0.01 Or neglegible.

Therefore y = 3.3x.

Now, In the 6th week, the height of plant B will be,

y = 3.33(6).

y = 19.98 or 20 cm.

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The PERT expected activity time for this activity is 6 days.

To compute the PERT (Program Evaluation and Review Technique) expected activity time, we can use the formula:

Expected Time = (Optimistic Time + 4 * Most Likely Time + Pessimistic Time) / 6

Using the given values, we have:

Optimistic Time = 2 days

Most Likely Time = 5 days

Pessimistic Time = 14 days

Substituting these values into the formula:

Expected Time = (2 + 4 * 5 + 14) / 6

Expected Time = (2 + 20 + 14) / 6

Expected Time = 36 / 6

Expected Time = 6

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Answer:

(2,-8)

Step-by-step explanation:

(2,-8)

One common unit of measure that serves as a conversion factor between linear and angular measurements is the radian (rad).

A radian is defined as the angle subtended at the center of a circle by an arc of the circle equal in length to the radius of the circle.

Since the circumference of a circle is 2π times the radius, there are 2π radians in a full circle. Therefore, one can use the following conversion factors

1 radian = 180/π degrees (approx. 57.3 degrees)

1 degree = π/180 radians (approx. 0.01745 radians)

These conversion factors allow you to convert between linear measurements (such as arc length or circumference) and angular measurements (such as angles in degrees or radians) when dealing with circular motion or rotational systems.

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Answer:

f(x) = x^2 - 3x - 28

Step-by-step explanation:

The root -4 corresponds to the factor (x + 4); the root 7 corresponds to (x - 7).  The equation is thus f(x) = (x + 4)(x - 7) = x^2 - 3x - 28, or

f(x) = x^2 - 3x - 28

The probability that a randomly selected employee lives in Austin and drives a car is 0.057

Here, we want to get the probability that a selected employee works in Austin and drives a car to work

Firstly, we need the number of employees that work in Austin and drive a car to work

Looking at the table, we have the number of employee that lives in Austin and drive a car to work as 63

To get the corresponding probability, we simply divide this number by the total number of employees which is 1,103

We have the probability as;

a. The probability that 1 or more nonconforming units are found is 0.2311.

b. The probability that exactly 3 units are nonconforming is 0.000058.

a. To solve the problem, you can use the complement rule. The complement rule states that the probability of an event occurring is 1 minus the probability of the event not occurring. So, in this case, the probability that no nonconforming units are found in a sample of 25 units is:

P(no nonconforming) = (0.99)²⁵ = 0.787.

Therefore, the probability that 1 or more nonconforming units are found is:

P(1 or more nonconforming) = 1 - P(no nonconforming) = 1 - 0.787 = 0.213.

Rounded to four decimal places, this is 0.2311.

b. To solve the problem, you can use the binomial probability formula:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k).

Here, n = 25 is the sample size, k = 3 is the number of nonconforming units, and p = 0.01 is the probability of a unit being nonconforming.

Using the formula, we get:

P(X=3) = (25 choose 3) * (0.01)³ * (0.99)²² = 2300 * 0.000001 * 0.5459 = 0.000058.

Rounded to six decimal places, this is 0.000058.

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Step-by-step explanation:

\(3y \times 6 {y}^{2} \)

take outcommon term 3y

\(3y(1 \times 2y)\)

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Answer:

99 is 9 times 11 144 divide by 9 is 16

Answer:

The answer is 2x-9

Step-by-step explanation:

Hope this helps.