Can you guys help with these questions!!

Answer:

\(x {}^{3} \)

Step-by-step explanation:

\(\frac{(x {}^{5} )}{( {x}^{2} )}\)

\(x {}^{3} \)

A)  annual percentage increase in the winner's check over this period is approximately 11595652.17%.

B)   if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.

a. To find the annual percentage increase in the winner's check over this period, we can use the formula:

Annual Percentage Increase = ((Final Value - Initial Value) / Initial Value) * 100

First, let's calculate the annual percentage increase in the winner's check from 1899 to 2020:

Initial Value = $23
Final Value = $2,670,000

Annual Percentage Increase = (($2,670,000 - $23) / $23) * 100

Now, we can calculate this value using the given formula:

Annual Percentage Increase = ((2670000 - 23) / 23) * 100 = 11595652.17%

Therefore, the annual percentage increase in the winner's check over this period is approximately 11595652.17%.

b. If the winner's prize increases at the same rate, we can use the annual percentage increase to calculate the prize money in 2055. Since we know the prize money in 2020 ($2,670,000), we can use the formula:

Future Value = Initial Value * (1 + (Annual Percentage Increase / 100))^n

Where:
Initial Value = $2,670,000
Annual Percentage Increase = 11595652.17%
n = number of years between 2020 and 2055 (2055 - 2020 = 35)

Now, let's calculate the prize money in 2055 using the given formula:

Future Value = $2,670,000 * (1 + (11595652.17 / 100))^35

Calculating this value, we find:

Future Value = $2,670,000 * (1 + 11595652.17 / 100)^35 ≈ $3,651,682,684.48

Therefore, if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.

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Answer:

well it's technically 23.66, but I guess you can round it up to 24

Answer:

5x-3(x-2)=10+x

Step-by-step explanation:

the is anserw is x=4

Answer:

5x^2 - 12x - 4 = 0

Step-by-step explanation:

5x - 3 (x - 2) = 10 + x

(5x - 3) (x - 2) = 10 + x

(5x^2 - 10x - 3x +6) = 10 + x

5x^2 - 13x + 6 = 10 + x

5x^2 - 13x +6 - 10 - x = 0

5x^2 - 12x - 4 = 0

Answer:

n = 7/2

Step-by-step explanation:

We are given the equation:-

\( \displaystyle \large{8 \times \sqrt{2} = {2}^{n} }\)

To solve an exponential equation, first, we convert the whole equation with same base.

Let our main base is 2 for whole equation, the following number must be:-

From √2 = 2^(1/2) comes from:-

\( \displaystyle \large{ {a}^{ \frac{m}{ n } } = \sqrt[n]{ {a}^{m} } }\)

\( \displaystyle \large{ {2}^{ \frac{1}{ 2 } } = \sqrt{2} }\)

Rewrite the equation with base 2.

\( \displaystyle \large{ {2}^{3} \times {2}^{ \frac{1}{2} } = {2}^{n} }\)

Recall the law of exponent:-

\( \displaystyle \large{ {a}^{m} \times {a}^{n} = {a}^{m + n} }\)

Therefore:-

\( \displaystyle \large{ {2}^{3 + \frac{1}{2} } = {2}^{n} } \\ \displaystyle \large{ {2}^{ \frac{6}{2} + \frac{1}{2} } = {2}^{n} } \\ \displaystyle \large{ {2}^{ \frac{7}{2} } = {2}^{n} }\)

Compare the exponent and thus:-

n = 7/2.

Answer:

1%

Step-by-step explanation:

Money spent by the stationer :

Money earned (after donation and sales) :

Here, the money spent is more than the money earned. Hence, we have to find the loss percentage.

The loss percentage is 1%

Answer:

1.) 81

2.) 1/4

3.) 2.25

Step-by-step explanation:

divide in half then square it

Answer:

wut

Step-by-step explanation:

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To determine whether the normal approximation can be used to study the proportion of students in the population who go home every weekend, we need to check if the sample size is large enough and if the success-failure condition is met.

Sample size: A commonly used rule of thumb is that the sample size should be at least 10 times the number of successes and failures combined. In this case, the number of students who go home every weekend in the sample is 18, and the number who do not is 82. So the sample size is 100, which is greater than 10 times the number of successes and failures combined.

Success-failure condition: Another assumption for the normal approximation is that the sample proportion is not too close to 0 or 1. In this case, the sample proportion of students who go home every weekend is 18/100 = 0.18, and the proportion who do not is 0.82. Both proportions are between 0.1 and 0.9, so the success-failure condition is met.

Therefore, we can use the normal approximation to study the proportion of students in the population who go home every weekend.

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Answer:

Area= pi r^2

= 6^2 pi

= 36pi cm square.

Step-by-step explanation:

Answer: 36*pi cm

Step-by-step explanation:

Since the formula for the circumference is C=2*pi*r

12pi=2*pi*r we can divide and get r=6 cm

Then, we can use the formula for the area of a circle: Area=pi*r^2 and get Area=pi*6^2=36*pi cm.

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Answer:

Step-by-step explanation:

1. Estimate - first, get as close as you can by finding two perfect square roots your number is between.

2. Divide - divide your number by one of those square roots.

3. Average - take the average of the result of step 2 and the root.

4. Use the result of step 3 to repeat steps 2 and 3 until you have a number that is accurate enough for your needs.

Answer:

Simplify what is within the square root to find perfect squares

Step-by-step explanation:

Example:

\(\sqrt{76} =\sqrt{9*8}=\sqrt{9*4*2}\)

From here hopefully you understand that 9 is the square root of tree similarly with 4 and 2.

then take the square roots that you know:

\(3*2\sqrt{2} =6\sqrt{2}\)

Hope this helps!

Plx give brainliest

To go from slope intercept form of line to standard form Ax + By + C = 0, collect all terms on the left side of the equation and multiply by the denominator B.

We know that the standard form of equation of line is Ax + By + C = 0. And the slope intercept form of line is y = mx +b, where m is the slope of the line, and b is the y-intercept i.e., the value of y when x = 0.

Converting from slope intercept form to standard form:

⇒ y = mx + b

⇒ y - mx = (mx - mx) + b           .........(subtract mx from each side)

⇒ y - mx = b

⇒ y - mx - b = b -b                    .........(subtract b from each side)

⇒ y - mx - b = 0

⇒ - mx + y - b = 0

Above equation is of the form Ax + By + C = 0

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Answer:

the answer should be 39.56

the sequence always multiplies itself by 5 so since we have 625 multiply that by 5 and we get 3125 multiply that by 5 and we get 15625 as our last number

Answer:

Step-by-step explanation:

The probability that none are mechanical engineering majors is 0.51.

The number of students who are not mechanical engineering majors is 100 - 49 = 51. The probability of choosing a student who is not a mechanical engineering major in one draw is 51/100. The probability of choosing five students in a row who are not mechanical engineering majors is (51/100)^5. Thus, the answer is (51/100)^5 = 0.1517816.

Probability refers to potential. From 0 to 1 is used to express the value. To determine how likely an event is to occur, probability has been introduced in mathematics. This is the fundamental theory of probability, which is also applied to the probability distribution, and from which you will discover the likelihood of results for a random experiment. The complete number of possibilities that can occur should be known before calculating the likelihood that a certain event will occur.

The complete question is:-

In a class of 100 students, 30 are computer science majors, 49 are mechaincal engineering majors, 13 are civil engineers and the rest are general engineering majors. Assume students only have one major.Suppose five students from the class are chosen at random what is the probability none are mechanical engineering majors?My info I know: The mechanical engineers account for 49% of the students, making 51% not mechanical engineers? Do I take five out of the 51, so 0.05 X 0.51?

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15 bags are expected for the journey for 9 people to fit backpacks in the trailer.

The fundamental principle of multiplication

To calculate the sum of two or more numbers, utilize the mathematical operation of multiplication. If an event can happen in m different ways and a second event can happen in n different ways after it, then the two events that happen in succession can happen in m n distinct ways.

Given that 5 backpacks can fit in the trailer for every 3 people.

Then 3 people = 5 backpacks

1 people = \(\frac{5}{3}\) backpacks

therefore  If 9 people are going on the trip, then;

9 people = \(\frac{5}{3}*9\) backpacks

= 5 x 3

= 15 backpacks

Hence, the trailer can fit 15 backpacks if 9 people go on the trip.

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Answer:

X= Y/200 - 3/2

Step-by-step explanation:

The function that has a well-defined inverse is b. : → (x) = 2x - 5.

To explain why this function has a well-defined inverse, we need to consider the conditions for a function to have an inverse.

For a function to have an inverse, each input value (x) must have a unique output value (y), and each output value must have a unique corresponding input value. In other words, the function must be one-to-one, with no two different input values producing the same output value.

In the case of function b. : → (x) = 2x - 5, it is a linear function with a constant slope of 2. This means that for every different input value (x), we get a unique output value (y) through the formula 2x - 5.

Moreover, the fact that the coefficient of x is non-zero (2 in this case) ensures that no two different input values can produce the same output value. This guarantees the one-to-one nature of the function.

To find the inverse of b(x), we can follow these steps:

1. Replace the function notation with the variable y: x = 2y - 5.

2. Solve for y: x + 5 = 2y, y = (x + 5)/2.

3. Replace y with the inverse function notation: b^(-1)(x) = (x + 5)/2.

Therefore, the function b(x) = 2x - 5 has a well-defined inverse given by b^(-1)(x) = (x + 5)/2, satisfying the conditions for a function to have an inverse.

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105 degrees is equivalent to (7π)/12 radians.

To convert degrees to radians, we use the conversion factor that 180 degrees is equal to π radians, or 1 degree is equal to π/180 radians.

Given that we need to convert 105 degrees to radians, we can use the conversion factor:

105 degrees * π/180 radians/degree = (105π)/180 radians

Simplifying the fraction:

(105π)/180 = (7π)/12 radians

Therefore, 105 degrees is equivalent to (7π)/12 radians.

To understand this conversion, we can consider the definition of a radian. A radian is a unit of measurement for angles, where the arc length of a circle is equal to the radius of the circle. In this case, 105 degrees represents a fraction of the entire circle, and when converted to radians, we find that it corresponds to (7π)/12 radians.

So, the correct answer is (7π)/12 radians.

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Answer:

Step-by-step explanation:

Kaitlin: y = 60x + 750

y = 60(19) + 750

     1140 + 750 = $1890 total

33

Let the present age of father is x years and son is y years

Then according to the question

x−3y=3.............(i)

After 3 years

(x+3)−2(y+3)=10

x+3−2y−6=10

x−2y=13...........(ii)

Subtracting eq(i)and eq(ii)

y=10

Putting y=10 in eq(i)

x−3×10=3

x=33

Hence Father present age is 33 years.

To calculate the value of the reward function V(s), you can use the following equation:

V(s)=max a,b R(s,a,b) where,max a,b represents taking the maximum value over all possible actions a and b for state s.

The value of the reward function V(s) represents the maximum possible reward that can be obtained in state s. It is calculated by considering all possible actions a and b in state s and selecting the action pair that results in the maximum reward.

The player is placed in a random room with a randomly selected quest at the beginning of each game episode. The reward function R(s,a,b) provides the rewards for different combinations of actions a and b in state s. The goal is to find the action pair that yields the highest reward for each state.

By calculating the maximum reward over all possible action pairs for each state, we obtain the value of the reward function V(s). This value can be used to evaluate the overall potential reward or value of being in a particular state and guide decision-making in the game.

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To convert 4 hours and 45 minutes to a fraction, we need to first convert the minutes to hours by dividing by 60 and then add the result to the 4 hours.

4 hours and 45 minutes = 4 + 45/60 hours = 4 + 0.75 hours

Now, we can write this as a fraction by expressing the decimal part as a fraction:

4 + 0.75 = 4 + 3/4 = (4*4 + 3)/4 = 19/4

Therefore, 4 hours and 45 minutes is equal to 19/4 when expressed as a fraction in simplest form.

The answer is (B) 4 3/4.

The area of the side panel of the stairway is 360 square inches.

The side panel of the stairway is essentially a right triangle with the three steps forming the three horizontal segments (treads) and the three risers forming the three vertical segments (risers).

The height of the side panel would be the total height of the three risers, which is -

3 risers x 8 inches/riser = 24 inches

The length of the side panel would be the total length of the three treads, which is -

3 treads x 10 inches/tread = 30 inches

Now, we can calculate the area of the side panel using the formula for the area of a right triangle:

Area = (base x height)/2

we have the base as the length of the side panel (30 inches) and the height is the total height of the three risers (24 inches).

Substituting these values into the formula we get,

Area = (30 inches x 24 inches)/2

Area = 360 square inches

Therefore, the area of the side panel of the stairway is 360 square inches.

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Answer:

Step-by-step explanation:

The first one has a median of 5, because 5 is the middle number of a set when they are in order of least to greatest, or in this case 0, 1, 2, 3, 4, 5, 6, 6, 7, 7, 9.

The second one is 3, because it is in the middle when it is 0, 2, 3, 3, 3, 4, 6.

The third one is 2, 3, 6, 7, 25 and the median is 6.

The fourth one is is 4, and is already ordered properly.

The last one is 2, and is also ordered properly.

Answer:

Update on

Step-by-step explanation:

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A common rule of thumb is to use the p-value of a statistical test to determine whether a difference in study outcomes is statistically significant.

If the p-value is less than the pre-determined level of significance (often set at 0.05), then the difference is considered statistically significant. This means that there is strong evidence to suggest that the observed difference is not due to chance alone, but rather a result of the variables being studied. However, it's important to keep in mind that statistical significance does not necessarily imply practical significance, and other factors such as effect size and clinical relevance should also be considered when interpreting study outcomes.

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Given the function:

We will graph the function using the table between x and y

We will substitute with x with values from 0 to 2π and find the value of y

the value of (2π) is the period of the function (sin x)

the points will be as follows:

The graph of the function will be as shown in the following figure: