Pablo finished his English assignment in 1/4
hours. Then he completed his history assignment in 4/5 hours. How much more time did Pablo spend on his history
4
assignment?
Write your answer as a fraction in simplest form.

\(\tan(x )=\cfrac{\stackrel{opposite}{50}}{\underset{adjacent}{36}} \implies \tan(x)=\cfrac{25}{18}\implies x =\tan^{-1}\left( \cfrac{25}{18} \right)\implies x \approx 54.2^o\)

Make sure your calculator is in Degree mode.

Answer:

the answer is 18-3/9 into 3rds 13/3

Step-by-step explanation:

Answer:

5/23 into 8

Step-by-step explanation:

To identify the solutions in solving linear inequalities in two variables, you can first graph the equation on a coordinate plane. Then, you can use the boundary line to identify which regions of the plane satisfy the inequality.

Any points in the shaded regions will be solutions to the inequality. Additionally, you can use the boundary line to identify the points that are not solutions by finding the points that lie on the boundary line.

Example:

x + 2y ≥ 4

The graph of this inequality is a line with a slope of -2/1 and a y-intercept of 4/2. The line will be shaded on the side of the line containing the greater values, which in this case is the side containing the origin.

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The 4th term in the sequence is -37

Given the following recursive function and first term as show below

a1 = -2

an = 2an-1 - 3

For the second term

a2. = 2a1 - 3

a2 = 2(-2) - 3

a2 = -7

For the third term

a3 = 2a2 - 3

a3 = 2(-7) - 3

a3 = -17

a4 = 2a3 - 3

a4 = 2(-17) - 3

a4 = -37

Hence the 4th term in the sequence is -37

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Answer:

162 apples

Step-by-step explanation:

Hi there!

Create a proportion:

\(\displaystyle\frac{6\hspace{5}apples}{2\hspace{5}oranges}=\frac{x\hspace{5}apples}{54\hspace{5}oranges}\)

\(\displaystyle\frac{6}{2}=\frac{x}{54}\)

Simplify fraction:

\(3\displaystyle=\frac{x}{54}\)

Multiply both sides by 54 to isolate x:

\(3*54=x\\x=162\)

Therefore, there would be 162 apples in the basket if there was 54 oranges.

I hope this helps!

The complete question is;

Marquis wrote the linear regression equation y = 1.245x - 3.685 to predict the cost, y, of x songs purchased. Marquis spent $40 on songs. Which is the best estimate of the number of songs that Marquis purchased?

Answer:

The best estimate of the number of songs that Marquis purchased = 35 songs

Step-by-step explanation:

First of all, let's make x the subject of the linear regression equation.

 We are given that,

 y = 1.245x - 3.685

 So,

 1.245x = (y + 3.685)

 x = (y + 3,685) / (1,245)

We are told that Marquis spent $40 on songs.

Thus;

Substituting the value of $40 for y into the equation to get;

 x = (40 +3,685)/(1,245)

x = 35.09

x ≈ 35

Thus, the best estimate of the number of songs that Marquis purchased is 35

Answer:

the number of songs that Marquis purchased is 35

The mean mass, per bag of the maize is 98.6 kg.

Given,the masses in kg of 20 bags of maize were:

90,94,96,98,99,402,105,91,102,99,105,94,99,90,94,99,98,96,102 and 105.

The assumed mean of the given data is 96 kg. We need to find the mean mass, per bag of the maize.

First we calculate the deviation of each observation from the assumed mean, i.e., 96 kg.

Deviation = Observation - Assumed mean

We can calculate the deviation of each observation from the assumed mean as follows:

It is observed that one of the observation is much higher than the other observations, i.e., 402.

This indicates that there might be a typing error.

Lets replace 402 with 102 which is close to the values of other observations. Therefore, the corrected data is:

90,94,96,98,99,102,105,91,102,99,105,94,99,90,94,99,98,96,102 and 105.

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Answer:

46 miles per hour. I think I've haven't had a problem as easy as this so I was overthinking a lot

Step-by-step explanation:

in the graph the line is passing through points (2,92) and the time is going by two's so you just divide to get the constant

Answer:

46 miles per hour

Step-by-step explanation:

2x46=92

92÷2=46

92-46=46

Answer:

49/90 is simplified

Step-by-step explanation:

Answer:

Step-by-step explanation:

49/90

Answer:

A. Difference of Squares

Explanation:

Given the expression:

To rewrite the expression:

• Write 4 as the square of 2.

• Write 9 as the square of 3.

Thus, the given expression has been written as a difference of two squares.

The identity that can be used to rewrite the expression is the difference of squares.

Option A is correct.

a. Yes, the function representing downloads for song B is a linear function.

We can see a consistent decrease of 42 downloads between each pair of consecutive data points (225-183 = 42 and 183-99 = 84, which is 42*2).

b. The rate of change for song B is -42 downloads per day. In context, it means that the number of downloads for song B decreases by 42 every day after its release.

c. No, the function representing downloads for song C is not a linear function, as the differences between consecutive data points are not constant (488-449 = 39 and 449-415 = 34).

d. Not applicable, since the function for song C is not linear.

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The Frequency will be "266.14 Hz" and the number of loops are "60".

For the given question-

The formula for the linear velocity is given as;

Linear density; μ = mass/length

Put the values,

μ = 4.5 x 10⁻³/0.6

μ = 7.5 x 10⁻³ kg/m

The formula for the fundamental frequency is;

F = (1/2L)√(T/ μ)      

F = (1/2x0.6)√(765/ 7.5 x 10⁻³)      

F = 266.14 hz

The number of loops  is;

n = f'/f

n = 16000/266.14

n = 60

Thus, a person who can hear frequencies up to f = 16 kHz would be able to hear the highest harmonic with number n equal to 60.

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The complete question is-

A piano tuner stretches a steel piano wire with a tension of 765 N . The steel wire has a length of 0.600 m and a mass of 4.50g .

What is the frequency (f_1) of the string's fundamental mode of vibration?

What is the number n of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to f = 16 kHzc?

Using induction, it can be proven that a Turing machine with 'k' tapes is equivalent to a single tape Turing machine.

Let's consider the base case when k = 2, i.e., a two-tape Turing machine. We know from class that a two-tape Turing machine is equivalent to a one-tape Turing machine. Therefore, the statement holds true for k = 2.

Now, let's assume that a Turing machine with 'k' tapes is equivalent to a single tape Turing machine. We need to prove that it also holds for k + 1 tapes.

Suppose we have a Turing machine with k + 1 tapes. We can simulate this machine using a single tape Turing machine as follows:

1. We can combine the first two tapes into a single tape, simulating the behavior of a two-tape Turing machine.

2. We can then combine the resulting tape with the third tape, simulating the behavior of a three-tape Turing machine.

3. We can continue this process until we have combined all k + 1 tapes into a single tape.

By induction, we have shown that a Turing machine with k + 1 tapes can be simulated by a single tape Turing machine, assuming that a Turing machine with k tapes can be simulated by a single tape Turing machine.

Using induction, we have proven that a Turing machine with any number of tapes 'k' is equivalent to a single tape Turing machine. This result holds true for any positive integer value of 'k'. Therefore, a Turing machine with 'k' tapes can always be converted into a single tape Turing machine without loss of computational power.

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Answer:

p = - 10

Step-by-step explanation:

I hope this helps. Good luck

The producers' surplus for the given surplus function is S(q)=\(q^{\frac{5}{2} }\)+4\(q^{\frac{3}{2} }\)+52 is ≈$14160.45.

A supply function is a graphical representation of the relationship between the value of a good or service, the quantity expected to be purchased (quantity demand), and other relevant variables, such as the price of related goods and the cost of inputs. Numerous distinct dependent and independent variables are present in a supply function.

Businesses can determine the relationship between price and commodity using the supply function formula.

We have to consider the supply function S(q)=\(q^{\frac{5}{2} }\)+4\(q^{\frac{3}{2} }\)+52

Here, the supply and demand are in equilibrium at q=16,

We have to find the equilibrium price at q=16, then

S(16)=\(16^{\frac{5}{2} }\)+4(\(16^{\frac{3}{2} }\))+52

=\((4^{2})^\frac{5}{2}\)+4(\((4^{2})^\frac{3}{2}\)+52

=4⁵+4(4)³+52

S(16)=P₀=$1332

For finding the consumer's surplus we have to use the formula:

PS=\(\int\limits^q_0\)[P₀-S(q)] dq

=\(\int\limits^{16}_0\)[1332-(\(q^{\frac{5}{2} }\)+4\(q^{\frac{3}{2} }\)+52)]dq

=\(\int\limits^{16}_0\)[1280-\(q^{\frac{5}{2} }\)-4\(q^{\frac{3}{2} }\)]dq

=[1280(16)-(2/7)\(16^{\frac{7}{2} }\)-4(2/5)\(16^{\frac{5}{2} }\)]

=[1280(16)-(2/7)\((4^{2})^\frac{7}{2}\)-(8/5)\((4^{2})^\frac{5}{2}\)]

=[1280(16)-(2/7)(4⁷)-(8/5)(4⁵)

≈$14160.45

Therefore, the producers supply is ≈$14160.45

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There is no evidence that her running times have improved.

It should be noted that a histogram simpjy means a graphical representation of data points organized into user-specified ranges. The histogram condenses a data series into an easily interpreted visual by taking many data points and grouping them into logical ranges or bins.

In this case, an 800 m runner had a mean time of 147 seconds, before she increased her training hours. The histogram shows information about the times she runs after increasing her training hours.

Based on the diagram, there's no evidence that showed improvement

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The equation of the circle with center (3, -4) and a radius of 6 units is (x - 3)^2 + (y + 4)^2 = 36.

The equation of a circle with center (h, k) and radius r is:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values given, we get:

(x - 3)^2 + (y + 4)^2 = 6^2

Expanding and simplifying, we get the final equation of the circle:

(x - 3)^2 + (y + 4)^2 = 36

Therefore, the equation of the circle with center (3, -4) and a radius of 6 units is (x - 3)^2 + (y + 4)^2 = 36.

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Answer:

1 6/7

Step-by-step explanation:

1 & 6/7

To find the average rate of speed of the wind and the plane, we can use the formula: distance = rate × time.  Therefore, the average rate of speed of the wind is P/3.5, and the average rate of speed of the plane is P.

we have the equation: distance = (P + W) × 1/3. On the return trip against the headwind, the effective speed of the plane is the difference between the plane's rate and the wind's rate: P - W. Given that the time taken is 3/5 hour, we have the equation: distance = (P - W) × 3/5. Since the distance traveled is the same in both cases, we can set up the following equation: (P + W) × 1/3 = (P - W) × 3/5.

On the left side, we have (P + W) × 1/3 = (P/3) + (W/3).
On the right side, we have (P - W) × 3/5 = (3P/5) - (3W/5).
Simplifying further, we have 5W + 9W = 9P - 5P.
Combining like terms, we get 14W = 4P.
Finally, we can divide both sides by 4 to solve for W: W = P/3.5.

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If you prefer to use base-10 logarithms, you can use the change of base formula to convert the natural logarithms to base-10 logarithms:

log(7) = 0.8451 and log(6) = 0.7782

x = 6 log(6) / (-8 log(7) - log(6))

What is logarithm?

A logarithm is a mathematical function that tells us what exponent is needed to produce a given number, when that number is expressed as a power of a fixed base.

To solve for x, we can take the logarithm of both sides of the equation. We can use either base-10 or base-e logarithms, but we will use natural logarithms (base-e) for this solution.

ln\((7^{(-8x)})\) = ln\((6^{(x+6)})\)

Using the properties of logarithms, we can simplify the left-hand side of the equation:

-8x ln(7) = (x+6) ln(6)

Distributing the ln(6) on the right-hand side, we get:

-8x ln(7) = x ln(6) + 6 ln(6)

Now we can solve for x. First, we will isolate the x terms on one side and the constant terms on the other side:

-8x ln(7) - x ln(6) = 6 ln(6)

Factorizing x on the left-hand side, we get:

x (-8 ln(7) - ln(6)) = 6 ln(6)

Dividing both sides by (-8 ln(7) - ln(6)), we get:

x = 6 ln(6) / (-8 ln(7) - ln(6))

This is the exact answer using natural logarithms. If you prefer to use base-10 logarithms, you can use the change of base formula to convert the natural logarithms to base-10 logarithms:

log(7) = 0.8451 and log(6) = 0.7782

x = 6 log(6) / (-8 log(7) - log(6))

This is the exact answer using base-10 logarithms.

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I just have that 100 miles for Company B gets them to $130, matching the daily price for Company A, but I don't know the amount of matching miles for the same price.

I know this might not help at all.

Answer:

????

Step-by-step explanation:

The number of hours he works is missing???

Given a cylinder of radius = r = 6 ft, and a height = h = 10 ft

A conic portion removed from the cylinder

So, the volume of the remaining portion =

the volume of the cylinder - the volume of the cone

The volume of the cylinder =

The volume of the cone =

so, the answer will be =

So, the answer is option 3) 240pi

False. A rectangle is conventionally used in a process flowchart to represent a storage area or queue. Triangles are typically used in flowcharts to represent decision points, where a choice must be made between two or more alternatives.

Rectangles are used to represent activities or operations, while arrows connecting the shapes indicate the flow or direction of the process. The use of standardized shapes in flowcharts helps to make them easily understandable and accessible to a wide range of individuals, regardless of their background or experience with the specific process being depicted.

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Answer:

$21,000

Step-by-step explanation:

hope i helped :)

Answer:

5) z = 2

6) Volume = 729 inches cubed

Step-by-step explanation:

To calculate a three-month moving average for monthly forecasting, you need to follow these steps: Gather the historical data, Determine the time period, Calculate the moving average, Repeat the process.

Gather the historical data: Collect the monthly data for the specific variable you want to forecast. For example, if you want to forecast sales, gather the sales data for the past several months.

Determine the time period: Decide on the time period for your moving average. In this case, it is three months.

Calculate the moving average: Add up the values for the variable you are analyzing over the past three months and divide the sum by three to get the average. This will be your moving average value for the third month.

Repeat the process: Shift the time period by one month and calculate the moving average for the new three-month period. Continue this process for each subsequent month, updating the time period and calculating the moving average accordingly.

For example, let's say you have the following sales data for the past six months:

Month 1: 100 units

Month 2: 120 units

Month 3: 110 units

Month 4: 130 units

Month 5: 140 units

Month 6: 150 units

To calculate the three-month moving average for Month 4, you would add up the sales values for Month 2, Month 3, and Month 4 (120 + 110 + 130 = 360) and divide it by three to get an average of 120 units. Repeat this process for each subsequent month to obtain the moving average values for your forecast.

Note that the number of data points you include in the moving average calculation and the frequency of the data (monthly in this case) can be adjusted based on your specific needs and the nature of the data.

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