A cosine function has a period of 3, a maximum value of 20, and a minimum value of 0 the function of its parent function over the x-axis Which function could be the function described?

Answer:

The answer is 81 yards

Step-by-step explanation:

First: you divide 40.5 by 5 s to see how far is goes in the air in 1 second

second: you should get 8.1 as the answer it rises 8.1 yards in one second

third: multiply 8.1 by 10 s to get 81 yards

Answer:

14;8

Step-by-step explanation:

a、700*(1+3%)^n>1850*(1-4%)^n ,n is the minimum :14；

b、1000+50n>1850*(1-4%)^n,n is the minimum :8

a. After approximately 24.89 years, the wildebeest population will be greater than the zebra population.

b. After approximately 57.77 years, the antelope population will be greater than the zebra population.

To find the exact answers for the time when the wildebeest population surpasses the zebra population and when the antelope population surpasses the zebra population, we need to solve the equations:

a) For the wildebeest and zebra populations:

\(700 * (1.03)^t = 1850 * (0.96)^t\)

To solve this equation, we can isolate the exponential terms and solve for t:

\((1.03)^t / (0.96)^t = 1850 / 700\)

Now, take the natural logarithm (ln) of both sides:

\(ln[(1.03)^t / (0.96)^t] = ln(1850 / 700)\)

Using the properties of logarithms, we can simplify the equation:

\(t * ln(1.03) - t * ln(0.96) = ln(1850 / 700)\)

Factor out t:

\(t * [ln(1.03) - ln(0.96)] = ln(1850 / 700)\)

Now, solve for t:

\(t = ln(1850 / 700) / [ln(1.03) - ln(0.96)]\)

we get: \(t \approx 24.89 years\)

So, after approximately 24.89 years, the wildebeest population will be greater than the zebra population.

b) For the antelope and zebra populations:

\(1000 + 50t = 1850 * (0.96)^t\)

We can solve this equation similarly:

\(1000 + 50t = 1850 / (0.96)^t\\\\t * 50 = ln(1850 / 1000) / ln(0.96)\\\\t = ln(1850 / 1000) / ln(0.96) / 50\)

we get: \(t \approx 57.77 years\)

So, after approximately 57.77 years, the antelope population will be greater than the zebra population.

Keep in mind that these are approximate values, and the actual year may need to be rounded to the nearest whole number, as populations cannot be fractional. Therefore, the final answers are: a) After 25 years, the wildebeest population will be greater than the zebra population.

b) After 58 years, the antelope population will be greater than the zebra population.

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Answer:

$1950

Step-by-step explanation:

Answer:

$1,950

Step-by-step explanation:

1. divide $195 by the number of pizzas there are (you get price per pizza)

195/15=13

2. muliply the price per pizza by the number of pizza's you want to get

150x13= 1950

The estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

To calculate an estimate of the mean length of the insects Ciara found, we need to find the weighted average of the lengths using the given frequencies.

Let's denote the lower limits of the length intervals as L1 = 0, L2 = 10, and L3 = 20.

Similarly, denote the upper limits as U1 = 10, U2 = 20, and U3 = 30.

Next, we calculate the midpoints of each interval by taking the average of the lower and upper limits.

The midpoints are M1 = (L1 + U1) / 2 = 5, M2 = (L2 + U2) / 2 = 15, and M3 = (L3 + U3) / 2 = 25.

Now, we can calculate the sum of the products of the frequencies and the corresponding midpoints.

This gives us (5 \(\times\) 5) + (6 \(\times\) 15) + (9 \(\times\) 25) = 25 + 90 + 225 = 340.

Next, we calculate the sum of the frequencies, which is 5 + 6 + 9 = 20.

Finally, we divide the sum of the products by the sum of the frequencies to find the weighted average, which is 340 / 20 = 17.

Therefore, the estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

Thus, the mean length of the insects Ciara found is approximately 17 millimeters (mm).

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The sign test, Wilcoxon signed-rank test, and the exact probability are conducted to compare the performance of two types of acoustical tiles in terms of their acoustic properties.

a) The sign test is conducted by comparing the number of times Tile B has a higher reverberation time than Tile A. In this case, there are 5 instances where Tile B has a higher time and 1 instance where Tile A has a higher time. Using the binomial distribution, the probability of observing 5 or more successes (Tile B with higher time) out of 6 trials (total number of comparisons) is calculated. If the probability is less than 0.05, we conclude that there is a statistically significant difference between the tiles.

b) The Wilcoxon signed-rank test is used to compare the differences between paired observations. In this case, we calculate the test statistic based on the differences between the reverberation times for each room. Using the normal approximation, the test statistic is compared to the critical value at a significance level of 0.05. If the test statistic is less than the critical value, we conclude that there is a significant difference between the tiles.

c) The exact probability of the sign-rank test statistic being less than 1 is calculated by considering the ranks assigned to the differences in reverberation times. By summing the probabilities of all possible scenarios where the sum of the ranks for negative differences is less than 1, we can determine the exact probability. This provides a more precise measure of significance than the normal approximation used in part b.

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Answer:

D: alternate interior angles

Step-by-step explanation:

yessir

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:\(x2{12}5\\ =18\)

Answer:

x=2.5

Step-by-step explanation:

Just divide 4.75 by 1.9.

The probability of event A or event B occurring is 0.51 if events A and B are independent.

If events A and B are independent, then the probability of both events occurring is given by:

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

Since the events A and B are independent, the probability of either event occurring is given by the sum of their individual probabilities minus their joint probability:

P(A or B) = P(A) + P(B) - P(A and B)

Substituting the given probabilities of P(A) = 0.28 and P(B) = 0.32, we have:

P(A or B) = 0.28 + 0.32 - (0.28 * 0.32)

= 0.6 - 0.0896

= 0.51

Therefore, the probability of event A or event B occurring is 0.51 if events A and B are independent.

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The data compression algorithm you are describing is a simple form of encoding that represents a word or a string of characters using three components: the first letter, the number of letters in the middle, and the last letter.

Here is a step-by-step explanation of how this algorithm works:

1. Take a word or a string of characters as input.
2. Identify the first letter of the word.
3. Count the number of letters in the middle of the word, excluding the first and last letters.
4. Identify the last letter of the word.
5. Encode the word using these three components: the first letter, the number of letters in the middle, and the last letter.
6. For example, let's encode the word "hello":
  - The first letter is "h".
  - The number of letters in the middle is 3 ("e", "l", "l").
  - The last letter is "o".
  - Therefore, the encoded representation of "hello" would be "h3o".
7. This encoding technique is used to compress data by representing longer strings of characters using fewer components.

It is important to note that this algorithm is a basic example and may not be the most efficient or widely used data compression technique. There are more sophisticated algorithms available that can achieve higher compression ratios. However, this simple algorithm demonstrates the concept of encoding data by representing it using fewer components.

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The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Answer: I believe the correct answer is C.

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

Therefore, the present value of the perpetuity that pays $1,800 per year forever, assuming a 5% interest rate, is $36,000. To find the present value of a perpetuity that pays $1,800 per year forever, we can use the formula:
Present Value = Cash Flow / Interest Rate

In this case, the cash flow is $1,800 and the interest rate is 5%. Plugging these values into the formula, we get:
Present Value = $1,800 / 0.05. Simplifying this equation, we find that:
Present Value = $36,000

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The rate of interest for 2nd year is 4.1%

From the given parameters;

Rate of interest for 1st year = 2.5

As we know the formula for Simple interest is given by

                         => I = (PTR)/100

We will use this formula in the following problem

Let 100 be Feri's investment

At the Rate of interest of 2.5  

Interest on 100 = [(100(1)(2.5)]/100 = 2.5

Total amount at end of 1st year = 100 + 2.5 = 102.5

Let x be the rate of interest for 2nd year

At the rate of interest of x

interest on 100 = [(100(1)(x)]/100 = x

Total amount at end of 2st year = 102.5 + x  

Given that, at end of the 2 years, the rate of interest becomes 6.6%  

Interest on 100 at the rate of 6.6%  

=>  [(100(1)(6.6)]/100 = 6.6

=> total amount = 100 + 6.6 = 106.6

As we know in both cases, the amount must be equal

=> 102.5 + x  = 106.6  

=> x = 4.1

Therefore, The rate of interest for 2nd year = 4.1

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Cars with exactly two options = Total cars - Cars with none or one option - Cars with all three options. 8 cars had exactly two of the given options during the month of July.

To determine the number of cars that had exactly two of the given options (air conditioning, automatic transmission, and power steering), we can follow these steps:

1. Find the total number of cars sold in July.
2. Subtract the number of cars with none, one, or all three options to get the number of cars with exactly two options.

Step 1: Find the total number of cars sold in July
- 24 cars had none of the extras
- 24 cars had only air conditioning
- 64 cars had only automatic transmission
- 35 cars had only power steering
- 8 cars had all three extras
Total cars = 24 + 24 + 64 + 35 + 8 = 155 cars

Step 2: Subtract the number of cars with one or all three options
- 87 cars had air conditioning
- 99 cars had an automatic transmission
- 73 cars had power steering
- 8 cars had all three extras

Total cars with at least one option = 87 + 99 + 73 - 8 = 251 cars

Now, subtract the number of cars with none or one option from the total number of cars to find the number of cars with exactly two options:

Cars with exactly two options = Total cars - Cars with none or one option - Cars with all three options
Cars with exactly two options = 155 - (24 + 24 + 64 + 35) - 8 = 155 - 147 = 8 cars
Therefore, 8 cars had exactly two of the given options during the month of July.

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The solution is given below.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

The perimeter of a rectangle is 40 cm. The length is 14 cm.

Let x = width of the rectangle.

Ravi says he can find the width using the equation 2(x + 14) = 40.

Fran says she can find the width using the equation 2x + 28 = 40.

now, we get,

1. Divide both sides by 2

 2(x+14) = 40

 x+14 = 20

2. Isolate the x term by subtracting 14 from both sides

3. x = 6. The width of the triangle is 6 cm.

4. Isolate the x term by subtracting 28 from both sides

 2x + 28 = 40

 2x = 12

5. Divide both sides by 2

6. x = 6

7. The two equations have the same solution, because by the distributive rule, 2(x+14) = 2x+28.

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Solving the provided question, we can say that the highest number bouquets she can make without having any flowers left is calculated by Highest Common Factor so, HCF of 56, 48 and 16 is 8

In mathematics, the highest positive integer that divides the corresponding integers is known as the greatest common divisor of two or more non-zero integers. The greatest common factor (HCF) of two or more numbers is the sum of those two or more numbers. As a result, it is frequently referred to as the largest common divisor (GCF). Take the prime factors of the two (or more) integers and determine the shared prime factors to determine the greatest common divisor. Following that, the sum of common prime factors is the greatest common divisor. A specified number divided by the biggest integer results in the greatest common divisor.

the highest number bouquets she can make without having any flowers left is calculated by Highest Common Factor so, HCF of 56, 48 and 16 is 8

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Answer:

2(x - 5)(x + 5)

Step-by-step explanation:

Common factor

2² − 50

2(² − 25)

Use the sum-product pattern

2(² − 25)

2(2² + 5 − 5 − 25)

Common factor from the two pairs

2(² + 5 − 5 − 25)

2(( + 5) − 5( + 5))

Rewrite in factored form

2(( + 5) − 5( + 5))

2( − 5)( + 5)

Solution

2( − 5)( + 5)

The scenario described in which a name is drawn from a hat and then discarded before drawing the next name represents dependent events.

In this scenario, the probability of your name being drawn next depends on the outcome of the previous event, which is the drawing of the first name. Since the first name drawn is thrown away, it reduces the pool of names from which the second name can be drawn. As a result, the probability of your name being drawn next changes based on the outcome of the first event.

Dependent events occur when the outcome of one event affects the probability of the next event. In this case, the drawing of the first name affects the probability of your name being drawn next because the pool of names is altered. This is different from independent events where the outcome of one event has no impact on the probability of the next event.

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Steps to solve:

4x + 6 = 10 - 4

~Simplify

4x + 6 = 6

~Subtract 6 to both sides

4x = 0

~Divide 4 to both sides

x = 0

Best of Luck!

Answer:

\(\large\boxed{x = 0}\)

Step-by-step explanation:

4x + 6 = 10 - 4

Subtract 10 - 4

4x + 6 = 6

Subtract 6 from both sides of the equation

4x = 0

Divide both sides of the equation by 4

\(\large\boxed{x = 0}\)

Hope this helps :)

The height of the Eiffel Tower is approximately 290 meters. Michael and Layla are standing 21.2 meters apart, and from their respective positions, The height of the Eiffel Tower is approximately 290 meters.

To explain further, let's consider the triangle formed by the base of the Eiffel Tower, Michael's position, and the top of the tower. In this triangle, the angle of elevation from Michael's position is 40°, and the opposite side is the height of the tower. Similarly, in the triangle formed by the base of the tower, Layla's position, and the top of the tower, the angle of elevation from Layla's position is 38.5°, and the opposite side is also the height of the tower.

Using trigonometric ratios, we can set up the following equations:

For Michael's triangle:

tan(40°) = height of the tower / 21.2

For Layla's triangle:

tan(38.5°) = height of the tower / 21.2

By solving these equations, we find that the height of the Eiffel Tower is approximately 290 meters.

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Answer:

56 cups

Step-by-step explanation:

If Mrs. Arsenault's dog needs 14 cups per 7 days, then we simply need to find how many "groups of 7 days" are in 28, and then multiply by 14, since for each of these 7 days, 14 cups are needed.

Dividing 28 by 7 results in 4, which we then multiply by 14 to get 56 cups which will be needed for 28 days.

I attached a diagram that further illustrates this point.

To find the expected value (E[X]) of the random variable X, we need to multiply each value of X by its corresponding probability and then sum up these products. Here's the step-by-step explanation:

1. Multiply each value of X by its probability:
  - 20 * 0.25 = 5
  - 40 * 0.30 = 12
  - 60 * 0.45 = 27

2. Sum up the products:
  - 5 + 12 + 27 = 44

The expected value of the random variable X is 44. Therefore, the correct answer is option c. 44.

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The expected value of the random variable X is 44. Therefore, the correct answer is option c. 44.

To find the expected value (E[X]) of the random variable X, we need to multiply each value of X by its corresponding probability and then sum up these products. Here's the step-by-step explanation:

1. Multiply each value of X by its probability:

 - 20 * 0.25 = 5

 - 40 * 0.30 = 12

 - 60 * 0.45 = 27

2. Sum up the products:

 - 5 + 12 + 27 = 44

The expected value of the random variable X is 44. Therefore, the correct answer is option c. 44.

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5) the standard deviation for the security is approximately 10.01%.

To calculate the standard deviation for a security given the probabilities and returns, we need to follow these steps:

1. Calculate the expected return (mean) of the security:

  Expected Return = (Probability 1 × Return 1) + (Probability 2 × Return 2) + (Probability 3 × Return 3)

  In this case:

  Expected Return = (0.30 × 0.24) + (0.50 × 0.08) + (0.20 × -0.09) = 0.072 + 0.040 - 0.018 = 0.094 or 9.4%

2. Calculate the squared deviation of each return from the expected return:

  Squared Deviation = (Return - Expected Return)^2

  For each return:

  Squared Deviation 1 = (0.24 - 0.094)^2

  Squared Deviation 2 = (0.08 - 0.094)^2

  Squared Deviation 3 = (-0.09 - 0.094)^2

3. Multiply each squared deviation by its corresponding probability:

  Weighted Squared Deviation 1 = Probability 1 × Squared Deviation 1

  Weighted Squared Deviation 2 = Probability 2 × Squared Deviation 2

  Weighted Squared Deviation 3 = Probability 3 × Squared Deviation 3

4. Calculate the variance as the sum of the weighted squared deviations:

  Variance = Weighted Squared Deviation 1 + Weighted Squared Deviation 2 + Weighted Squared Deviation 3

5. Take the square root of the variance to obtain the standard deviation:

  Standard Deviation = √(Variance)

Let's perform the calculations:

Expected Return = 0.094 or 9.4%

Squared Deviation 1 = (0.24 - 0.094)^2 = 0.014536

Squared Deviation 2 = (0.08 - 0.094)^2 = 0.000196

Squared Deviation 3 = (-0.09 - 0.094)^2 = 0.032836

Weighted Squared Deviation 1 = 0.30 × 0.014536 = 0.0043618

Weighted Squared Deviation 2 = 0.50 × 0.000196 = 0.000098

Weighted Squared Deviation 3 = 0.20 × 0.032836 = 0.0065672

Variance = 0.0043618 + 0.000098 + 0.0065672 = 0.010026

Standard Deviation = √(Variance) = √(0.010026) = 0.10013 or 10.01%

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Answer: 121°

Step-by-step explanation:

The measure of angle B will be \(121^0\) .

Angle is formed by two rays lie in the plane that contains the rays.

We have,

\(m \angle A =(6x-19)^0\)

Now,

Linear pair angles are those angles whose sum is \(180^0\) .

i.e.

\(m \angle A + m \angle B=180^0\)

So,

\((6x-19)^0 +(11x-22)^0 =180^0\)

Now,

\(17x-41=180\)

\(17x=221\)

\(x=13\)

So,

\(m\angle B=(11x-22)^0\)

Putting value of x;

\(m\angle B=(11*13-22)^0\)

\(m\angle B=(121)^0\)

So, measure of angle B is \(121^0\).

Hence, we can say that the measure of angle B will be \(121^0\) .

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Answer:

I think 24

Step-by-step explanation:

-6 + 24 =18

Answer:

no solution

Step-by-step explanation:

y = 2x - 1 → (1)

y = 2x + 4 → (2)

substitute y = 2x - 1 into (2)

2x - 1 = 2x + 4 ( add 1 to both sides )

2x = 2x + 5 ( subtract 2x from both sides )

0 = 5 ← not possible

This indicates the system has no solution