Write an equation of the form y=a sin bx or y= a cos bx to describe the graph below.

The hotel charge in the first city before tax was $6000 and the hotel charge in the second city before tax was $7500.

Let x be the hotel charge before tax in the first city, and y be the hotel charge before tax in the second city. Then we have:
y = x + 1500   (the hotel charge before tax in the second city was $1500 higher than in the first)
0.075x + 0.05y = 825   (the total hotel tax paid for the two cities was $825)
We can use the first equation to solve for y in terms of x:
y = x + 1500
Then we can substitute this expression for y into the second equation:
0.075x + 0.05(x + 1500) = 825
Simplifying this equation, we get:
0.075x + 0.05x + 75 = 825
0.125x = 750
x = 6000
So the hotel charge before tax in the first city was $6000. Using the first equation, we can find the hotel charge before tax in the second city:
y = x + 1500
y = 6000 + 1500
y = 7500
So the hotel charge before tax in the second city was $7500.
Therefore, the answer is: The hotel charge in the first city before tax was $6000 and the hotel charge in the second city before tax was $7500.

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Step-by-step explanation:

54^2 + a^2 = 90^2

2916 + a^2 = 8100

a^2 = 8100 - 2916

a^2 = 5184

take the square root of 5184

a = 72

you could have also guessed that its a 3 4 5 right triangle

all the sides are multiples of 3 4 or 5

The solution to the quadratic equation 3x² - 5x + 1 using quadratic formula is; x = (5 + √13)/6 or (5 - √13)/6

The general form of a quadratic equation is given as;

ax² + bx + c = 0

The quadratic formula that is used to solve this is given by;

x = [-b ± √(b² - 4ac)]/(2a)

Now, we are given the quadratic equation as;

3x² - 5x + 1

Thus, using quadratic formula we have;

x = [-(-5) ± √((-5)² - (4 * 3 * 1))]/(2 * 3)

x =  [5 ± √(25 - 12)]/6

x = (5 ± √13)/6

x = (5 + √13)/6 or (5 - √13)/6

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Answer:

OK, Here is your answer

Step-by-step explanation:

Let's assume the capacity of the drum be C litres.Since the drum is initially 3/4 full, the amount of water in it is 3/4 × C = (3/4)C liters.When 9 liters of water are drawn from the drum, the remaining amount of water is (3/4)C - 9 liters.Since the drum is now half full, the amount of water remaining in it is (1/2)C liters.Therefore, we can write the equation: (3/4)C - 9 = (1/2)CTo solve for C, let's first get rid of the fractions by multiplying both sides by 4.(3/4)C - 9 = (1/2)C → 3C - 36 = 2C → C = 36Therefore, the capacity of the drum is 36 liters.Hence, the drum holds 3/4 × 36 = 27 liters of water initially and after 9 liters of water are drawn, the remaining amount of water in it is 27 - 9 = 18 liters.

Answer:

18 Lieters.

Step-by-step explanation:

found the answer in his answer. ↑↑↑↑

Answer:

1. 10/7, 2/1, 1,5

2. 5/8 * 3/2

Step-by-step explanation:

(:

Answer:

Which part exactly.. Or which number exactly

The measure of angle MTU m∠MTU is 114 degree.

From the figure in the diagram:

Measure of angle STU is 145 degrees and measure of angle STM is 31 degree.

Since, angle STU composes or is the sum of angle STM and angle MTU.

To find angle MTU, simply subract angle STM from angle STU.

m∠STU = m∠STM + m∠MTU

Hence:

m∠MTU = m∠STU - m∠STM

Plug in the given values and simplify

m∠MTU = 145° - 31°

Subtract 31 from 145

m∠MTU = 114°

Therefore, angle MTU measure 114°.

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Answer:

8

24 divided by 8 =3

32 divided by 8 =4

The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.

We can see this by comparing the growth rates of the three functions for larger and larger values of x.

As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.

if we plug in x = 10, we get:

f(10) = 4×2¹⁰ = 4×1024 = 4096

h(10) = 9×10² + 25 = 925

g(10) = 15×10 + 6 = 156

As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.

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Carly gives a piece of candy to 24 classmates.

What is piece ?

The term "piece" is a noun that refers to a separate or individual part or item of something larger. In the context of the previous question, "piece" is used to describe a single portion of a candy bar that has been cut into smaller sections. "Piece" can also refer to a work of art or literature, such as a painting or a story, or to an object that is considered as a whole, such as a puzzle piece or a chess piece. The meaning of "piece" can vary depending on the context in which it is used.

Your reasoning is correct. If Carly has 4 candy bars, and she cuts each candy bar into 6 pieces, then she has a total of 4 x 6 = 24 pieces of candy. Since she gives one piece of candy to each classmate, the number of classmates who receive a piece of candy bar would be equal to the number of pieces of candy.

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Answer:

54 degrees

Step-by-step explanation:

Original of lagos achii gege

Answer:

B. (-4, 2½)

Step-by-step explanation:

The lines intercept at the point -4 on the x-axis and 2½ on the y-axis

Answer:

= \(\frac{1}{6}\) (7 + s) + ( 2 × q )

I'm pretty much sure that this is correct.

Step 1

The original blueprint of the family has a scale of 2inches=5feet

The family wants to use a new blueprint that shows the length of the living room to be 15 inches.

Step 2

The width of the living room is

Hence, the length of the living room is

So the new scale is;

The width of the new print is;

Hence the scale of the new print is; 5inches = 8feet

Width of new blue print=9.375inches

The relationship between the quantities shown in the table is +10. The values in column 2 (y) are obtained by adding 10 to the corresponding values in column 1 (x).

In the given table, the values in column 1 (labeled "x") are 1, 2, 3, and 4. The values in column 2 (labeled "y") are 11, 22, 33, and 44.

To determine the relationship between the quantities in the table, we can compare the values in column 2 (y) with the corresponding values in column 1 (x).

If we subtract each value in column 1 from the corresponding value in column 2, we find that:

11 - 1 = 10

22 - 2 = 20

33 - 3 = 30

44 - 4 = 40

By observing these results, we can see that the difference between each value in column 2 and its corresponding value in column 1 is always 10.

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The value of the composite function f(g(x)) is 2(x-8)^2

Composite functions are functions in another function. Given the following functions

f(x)=2x^2 and

g(x)=x-8

Determine f(g(x))

f(g(x)) = f(x-8)

f(x-8) = 2(x-8)^2

f(g(x)) = 2(x-8)^2

Hence the value of the composite function f(g(x)) is 2(x-8)^2

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Answer:

A negative exponent is defined as the multiplicative inverse of the base, raised to the power which is opposite to the given power. In simple words, we write the reciprocal of the number and then solve it like positive exponents. For example, (2/3)-2 can be written as (3/2)2.

Step-by-step explanation:

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

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Answer:

the answer is the 3rd one

Step-by-step explanation:

Answer:

1. 23/100

2. 7/100

3. 54/100

4. 7/10

5. 12/25

1. yes

2. no - 9/10 = 0.9 or 0.09 = 9/100

3. yes

4. yes

5. no - 31/50 = 0.62 or 13/25 = 0.52

1. 5/10 or 1/2

2. 56/100 or 23/50

3. 58/100 or 29/50

4. 0.75

5. 0.8

Answer:

A) P(Green) = 1/8, 0.125, 0r 12.5%

P(Orange) = 1/2, 0.5, or 50%

B) P(Not Yellow) = 3/4, 0.75, or 75%

Step-by-step explanation:

A) P(Green) = 1/8, 0.125, 0r 12.5%

P(Orange) = 1/2, 0.5, or 50%

B) P(Not Yellow) = 3/4, 0.75, or 75%

Answer:

(x - 6) (x + 3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

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The system of equations represented by the graph is:

y = x - 6

y + x = -2

And the solution is (2, -4), then the correct option is the first one.

On the graph, we can see a system of linear equations, we can see a line with a positive slope and a line with a negative slope.

The line with a positive slope intercepts the y-axis at y = -6, then that line is:

y = a*x - 6

with a > 0.

The other line passes through the y-axis at y = -2, then the linear equation is:

y = b*x - 2

Where b < 0.

Also, remember that the solution for the system of equations is the point where the two lines intersect, so we can see that the solution is at (2, -4)

The only option that meets all the criteria is the first option:

y = x - 6

x + y = -2

And the solution is (2, -4)

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Answer:

Step-by-step explanation:

1 white 1 green 1 blue + 2 reds = 5 balls

5 seen as a percentage

5%

Answer:

1434.68×+444.25

Step-by-step explanation:

solve the numbers by the equation

Answer:

a 1760.

b 32.1

c 8.5 × 10^8

d 5.09×10^-5

Addison's purple paint will be bluer.

To determine the percent of blue paint in Arturo's mixture, divide the amount of blue paint (11 cups) by the total amount of paint (11 cups + 5 cups) and multiply by 100. This gives you 68.75%.

To determine the percent of blue paint in Addison's mixture, divide the amount of blue paint (8 cups) by the total amount of paint (8 cups + 3 cups) and multiply by 100. This gives you 72.73%. Since 72.73% is greater than 68.75%,

Therefore, the correct answer is as given above. It can then be concluded that Addison's purple paint will be bluer.

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An arborescence is a type of Bayesian network structure that is characterized by a root node, a unique path from the root to every other node, and conditional probabilities that are only dependent on the parent of each node.

An arborescence, also known as a directed rooted tree, is a type of Bayesian network structure in which there is a root node, \( X_{0} \), and a unique path from the root to every other node in the network. This means that there is only one way to reach each node from the root, and there are no cycles in the network. The root node is the only node that does not have any parents, and all other nodes have exactly one parent.

In an arborescence, the conditional probability of each node given its parents is defined as follows:

$$ P(X_{i}|X_{0},...,X_{i-1}) = P(X_{i}|X_{pa(i)}) $$

Where \( X_{pa(i)} \) is the parent of \( X_{i} \).

This means that the probability of each node is only dependent on its parent, and not on any other nodes in the network. This simplifies the calculations needed to determine the probability of a particular event occurring in the network.

Overall, an arborescence is a type of Bayesian network structure that is characterized by a root node, a unique path from the root to every other node, and conditional probabilities that are only dependent on the parent of each node.

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