(HELP NEEDED PLEASE) A claw arcade machine contains stuffed animals and mystery boxes. There are 44 items in the machine. Winning a stuffed animal has three times as many favorable outcomes as winning a mystery box. How many of each item is in the machine?

Answer:

A=3√5

B=11√7

Step-by-step explanation:

5√5-2√5

5-2√5

3√5

B) 8√7+3√7

8+3√7

11√7

The expression \left(\(4g^{3}h^{4}\right)^{3}\)) can be simplified to \(64g^{9}h^{12}.\)

To simplify this expression, we raise each term inside the parentheses to the power of 3. For 4\(g^{3}\), we have \(4^{3}\) = 64 and \((g^{3})^{3}\)= \(g^{9}\), so we get \(64g^{9}\). Similarly, for \(h^{4}\), we have \((h^{4})^{3} = h^{12}\).

Combining these simplified terms, we have \(64g^{9}h^{12}\) as the final simplified form of the expression \left\((4g^{3}h^{4}\)\right)^{3}.

In summary, raising the expression\(4g^{3}h^{4}\) to the power of 3 simplifies to \(64g^{9}h^{12}\).

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Answer:

wouldn't this be 4,2?

Step-by-step explanation:

i remember doing this in school last year and dilation means you would multiple the coordinates by what ever the dilation factor was, in this case its 2.

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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The given equation r = 8 represents a curve in polar coordinates, where r represents the distance from the origin and θ represents the angle.

To convert this polar equation into a Cartesian equation, we can use the following relationships:

x = r * cos(θ)

y = r * sin(θ)

Substituting r = 8 into these equations, we get:

x = 8 * cos(θ)

y = 8 * sin(θ)

Thus, the Cartesian equation for the given curve is:

x = 8 * cos(θ)

y = 8 * sin(θ)

This equation represents a circle with a radius of 8 units centered at the origin (0, 0).

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Mika has to leave her money in the account for 6 years to reach her goal.

Given that Mika has $1,500.00 and she needs $3,200.00.

She found a savings account that will pay her 3.625% simple interest.

We have to find out how long in years will she have to leave her money in the account to reach her goal.

We assume that there will be no additional deposits or withdrawals.

Mika needs $3,200.00.She has $1,500.00.

She has to find an additional amount = 3200 - 1500 = $1700

Given that simple interest is 3.625%.Let time be 't' in years.

Now,Simple Interest = (P × R × T) / 100

We get the value of 't' as t = 12 * SI / (P * R)where

P = Principal amount = $1500

R = Rate of interest = 3.625% = 3.625/100 = 0.03625

SI = Simple interest = $1700

Substitute the values of P, R, and SI in the above equation

we get the value oft = (12*1700) / (1500*3.625)t = 5.633 or 6 (Approx)

So, Mika has to leave her money in the account for 6 years to reach her goal.

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Answer:

Step-by-step explanation:

If angle 2 is 75, the other angles that are also 75 are angles 4 (it's vertical to angle 2), angle 6 (it's corresponding to angle 2), angle 8 (it's alternate exterior to angle 2). All the other angles measure 180 - 75 which is 105.

A histogram is used for a continuous variable, while a bar graph is used for a categorical variable.

We have,

A histogram and a bar graph are both types of visual representations of data, but they have some key differences.

- A histogram is a graph that shows the distribution of a continuous variable.

The horizontal axis of a histogram represents the range of values for the variable, which is divided into intervals or bins.

The vertical axis represents the frequency or count of observations that fall into each bin.

The bars in a histogram touch each other to indicate that the variable is continuous and there are no gaps between the bins.

- A bar graph, on the other hand, is a graph that shows the frequency or count of different categories of a categorical variable.

The horizontal axis of a bar graph represents the categories of the variable, while the vertical axis represents the frequency or count of observations in each category.

The bars in a bar graph are separated by gaps to indicate that the variable is categorical and the categories are distinct.

Thus,

A histogram is used for a continuous variable, while a bar graph is used for a categorical variable.

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The probability of having the weight 106 on the heavier side is: P(106 on heavier side) = 10/20 = 0.5 or 50%

To calculate the probability of having the weight 106 on the heavier side of the scale, we need to consider the total number of possible outcomes.

Since there are 6 weights (101 to 106) and 3 weights on each side of the scale, there are a total of 6 choose 3 ways to arrange the weights. This can be calculated using the combination formula:

6C3 = 6! / (3! * (6-3)!) = 20

Out of these 20 possible arrangements, we need to determine how many of them have the weight 106 on the heavier side.

If 106 is on the heavier side, then it can be paired with any of the other 5 weights on the same side. This leaves us with 5 choose 2 ways to arrange the remaining 2 weights on the same side:

5C2 = 5! / (2! * (5-2)!) = 10

Therefore, the probability of having the weight 106 on the heavier side is:

P(106 on heavier side) = 10/20 = 0.5 or 50%

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Answer:

-1870n + 1044

Step-by-step explanation:

Answer:

The correct answer is A. One unique triangle. This is because the sum of the angles in a triangle must equal 180 degrees, so with the given angles, only one unique triangle can be created.

Answer: A!

Step-by-step explanation:

I did it on a Module Test and it was correct!

Answer:

answer is 100

Step-by-step explanation:

5x2 = 10

10%= 10 crackers

10x 10= 100 crackers

100 crackers in the box

Answer:

100 crackers were in the box.

Explanation:

The percentage is a rate, number, or amount in each hundred.

Given:

Percentage = 5

Given crackers value = 5

let Total value is \(x\)

Here is formula

\(Percentage = \frac{given cracker value}{total number of crackers value} *100\)

\(5 = \dfrac{5}{x} *100\)

\(x = \dfrac{5}{5} *100\)

\(x= 100\)

Hence, the 100 cracker were there in the box.

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Answer: A

Step-by-step explanation: 3(1)+k =8 8-3=5

Answer:

A. 5

Step-by-step explanation:

Plug each x value into the equation 3x + k

Substitute each answer choice for k

Whenever they match the values under the equation, you have the answer.

3 (1) + 5 = 8

3 (3) + 5 = 14

3 (5) + 5 = 20

To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

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Answer:

Collect Like terms...Then Take the LCM

1/4x -1/3x +3 - 2

-1/12x + 1

Or

1 - 1/12x .

Option D.

Answer:

Yes, 0.3 is the multiplicative inverse of 3 1/3 since 0.3 * 3/13 = 1.

Step-by-step explanation:

Multiplicative inverses, also called reciprocals, are two numbers whose product is 1.

What number multiplied by 3 1/3 equals 1?

3 1/3 * x = 1

10/3 x = 1

3/10 * 10/3 x = 1 * 3/10

x = 3/10 = 0.3

Answer: Yes, 0.3 is the multiplicative inverse of 3 1/3 since 0.3 * 3/13 = 1.

Effective leadership can be demonstrated in many different ways, but here are a few examples of actions that may indicate effective leadership by a group leader:

1. Clear communication: A group leader who communicates clearly and effectively with their team is more likely to build trust and respect among the group.

2. Empathy and emotional intelligence: A leader who demonstrates empathy and emotional intelligence can help build a positive team culture by understanding and acknowledging the feelings and needs of their team members.

3. Delegation and empowerment: An effective leader knows how to delegate tasks and responsibilities to team members in a way that maximizes their strengths and abilities, while also providing support and guidance as needed.

4. Leading by example: A leader who sets a positive example for their team by modeling the behaviors and attitudes they want to see in their team is more likely to earn respect and trust from their team members.

5. Strategic thinking: A leader who is able to think strategically and make informed decisions based on data and evidence can help steer their team towards success.

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Answer:

the answer is A

Step-by-step explanation:

About 50% of the respondents were at or between 40 and 67.5 years old.

The time at which the turtles meet if they started to move at 11:00 a.m is; 11:15 a.m

Distance between the two turtles = 750 m

First turtle travels at an average speed of 1 km/h. Thus; v₁ = 1 km/h

Second turtle travels at an average speed of 1 km/hr faster than the first. Thus; v₂ = 2 km/h

Since second turtle is moving 2 times faster than the first one, it means the second turtle will cover 2/3 of the total distance while the first will cover 1/3 of the total distance at the point they will meet.

Thus; Distance covered by turtle 2 = 2/3 * 0.750 = 0.5 km

Time = distance/speed

Time = 0.5/2 = 0.25 hours = 15 minutes

Since they both started at 11.00 a.m then they will meet at 11:15 a.m

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Answer:

15 min

Step-by-step explanation:

mind telekinisis B)

The 53586077 is composite, we can use Fermat's Little Theorem for primality testing. The theorem states that if p is a prime number and a is any positive integer less than p, then

\(a^(p-1) ≡ 1 (mod p).\)

Let's take a positive integer a = 2 as our witness. We need to calculate\( 2^(53586077-1) mod 53586077\) and check if it's equal to 1.

\(2^(53586076) mod 53586077 = 3639153\) (using a calculator or software)

Since 3639153 is not equal to 1, this shows that 53586077 is composite, and 2 is a valid witness.

For the Carmichael number 294409, we need to find a nontrivial square root of 1 modulo 294409. A nontrivial square root of 1 is an integer x such that x^2 ≡ 1 (mod 294409) and x ≠ 1 or x ≠ -1 (mod 294409).

Let's take a = 3 as our witness. We need to calculate 3^((294409-1)/2) mod 294409:

\(3^147204 mod 294409 = 1\) (using a calculator or software)

Now, we need to find 3^((294409+1)/2) mod 294409:

\(3^147205 mod 294409 = 294408 \)(using a calculator or software)

Since 1 and 294408 are the trivial square roots of 1 (mod 294409), 3 is not a valid witness for this Carmichael number. However, using trial and error with other witnesses, we can eventually find a nontrivial square root of 1, proving that 294409 is composite.

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ANSWER

First quadrant

EXPLANATION

Those two trigonometric functions are the reciprocal of the sine and cosine functions:

Therefore:

sinθ is greater than zero for the first and second quadrants.

Also:

cosθ is greater than zero for the first and fourth quadrants.

Hence, for cscθ>0 and secθ>0, angle θ lies in the first quadrant.

Special Product are the result of binomials being multiplied, or simplified further, and can be solved with ease using the First Last Inner Outer method. this product is not a special product.

Special Product (a+b) (a+b) = aa + ab + ab + bb = \(a^{2} + 2ab + b^{2}\).

we can use this formula anytime we are multiplying a binomial of the form a + b.

Factor as a Difference of Squares

factoring:  \(81a^{2} b^{4} - c^{6}\) = \((3^{4}a^{2} . b^{4}) - c^{6}\)

A difference of two perfect squares, \(A^{2} - B^{2}\) can be factored into

\((A+B)(A-B)\\A^{2} - AB + BA - B^{2}\\ A^{2} - AB + AB -B^{2}\\ A^{2} -B^{2}\)

AB = BA is he commutative property of multiplication from the expression.

-AB+BA equal zero and is therefore eliminated from the expression.

81 is the square of 9

\(a^{2}\) is the square of \(a^{1}\)

\(b^{4}\) is the square of \(b^{2}\)

\(c^{6}\) is the square of \(c^{3}\)

Factorization is \((9ab^{2}+c^{3}) . (9ab^{2}-c^{3} )\)

Factoring: \((9ab^{2}+c^{3})\)

A sum of perfect cubes, \(a^{3} + b^{3}\) can be factored into :\((a+b).(a^{2}-ab+b^{2})\\a^{3}-a^{2}b+ab^{2}-b^{2}a+b^{3}\\ a^{3}+(a^{2}b-ba^{2})+(ab^{2}-b^{2}a)+b^{3}\\ a^{3}+b^{3}\)

9 is not a cube(Binomial can not be factored as the difference of two perfect cubes)

Factoring: \((9ab^{2}-c^{3} )\)

A difference of two perfect cubes, \(a^{3} - b^{3}\) can be factored into

\((a-b).(a^{2}+ab+b^{2})\\a^{3}+a^{2}b+ab^{2}-ba^{2}-b^{2}a-b^{3}\\ a^{3}+(a^{2}b-ba^{2})+(ab^{2}-b^{2}a)-b^{3}\\ a^{3}-b^{3}\)

9 is not a cube(Binomial can not be factored as the difference of two perfect cubes)

Hence, 81a2b4 - c6 this solution deals with factoring binomials as the sum or difference of cubes.

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Answer:

A or b

Step-by-step explanation:

Hope this helps

Answer:

A

Step-by-step explanation:

I believe, it seems as if the shape was dragged across the x=y axis

We can use the M/M/1 queuing model to solve this problem.

(a) The arrival rate of customers is λ = 10 per hour, and the service rate of the teller is μ = 15 per hour (since the average service time is 4 minutes or 0.067 hours). Using the formula for the utilization factor, we have:

ρ = λ/μ = 10/15 = 0.67

(b) Using the formula for the average number of customers in the system, we have:

L = λ/(μ-λ) = 10/(15-10) = 2

(c) Using the formula for the average time spent by a customer in the system, we have:

W = 1/(μ-λ) = 1/(15-10) = 0.2 hours or 12 minutes

In summary, the utilization factor of the teller is 0.67, the average number of customers in the system is 2, and the average time spent by a customer in the system is 12 minutes. These results indicate that the bank is operating at a relatively high level of congestion, with customers experiencing a significant amount of waiting time.

One possible solution to this problem is to add another teller to the bank to increase the service rate and reduce the average waiting time for customers. Alternatively, the bank could implement a system for scheduling appointments or prioritizing certain types of transactions to better manage the flow of customers.

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To isolate m, we'll multiply both sides by 8.

We go from m/8 < 4 to m < 32

This describes any number smaller than 32. We aren't including 32 itself, so we have an open circle at 32 on the number line. The shading is to the left since everything to the left of 32 is smaller than 32.

Answer:

The nth term of this sequence is  T = n^2 + 2n + 1

the general term is Tn = n^2 + 2n + 1

Answer:

4. (6,-1) 5. (3,2)

Step-by-step explanation:

Answer:

-5 and -6

Step-by-step explanation:

-5 and -6 are the only numbers between -7 and -4

Answer:

-40 ,12

Step-by-step explanation:

you will have to look for the factors of 480 that satisfy this condition and for this case , they're -40 and 12