on average, 5 oranges yield 3 cups of juice. if 2 cups make 1 pint, how many oranges are needed to make 3 quarts of orange juice?

Answer:

\(1) \frac{y^4}{y^2}\)

_________

\(2) \frac{k^{6} }{k^{6} }\)

_________

\(3)\frac{x^{4} y^{5} }{x^{3} y^{2} }\)

___________

\(4)\frac{mn^3}{n^2}\)

___________

\(5) \frac{15a^3}{3a}\)

__________

\(6)\frac{8x^5y^4}{\:4x^2y^2}\)

____________

OAmalOHopeO

Answer: y = 5x + 26

Step-by-step explanation:

To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.

We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 1 = 5(x - (-5))

Simplifying further:

y - 1 = 5(x + 5)

Expanding the brackets:

y - 1 = 5x + 25

Rearranging the equation to the slope-intercept form (y = mx + b):

y = 5x + 26

Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.

Answer:

-720

Step-by-step explanation:

10x^3y^2    If x = -2 and y = -3

10 * (-2^3) * (-3^2)

10 * (-8) * (9) = -720

Answer:

A.) -720

Step-by-step explanation:

10x^3y^2

10 times x^3 times y^2

x = -2

y = -3

10 times (-2)^3 times (-3)^2

-2^3 = -2 x -2 x -2 = -8

-3^2 = -3 x -3 = 9

-8 x 9 = -72

10 x -72 = -720

Answer:

D

Step-by-step explanation:

if you have 37 and however many you eat you subtract from that 37 giving you R

Answer:

\sqrt{7}i or -\sqrt{7}i

Step-by-step explanation:

square root both sides of the equation

since you can't sqrt a negative number, you substitute sqrt of -1 to i

Which gets the answer.

Answer

4z+5=

4*7+5=33

33

Step-by-step explanation:

Answer:

B.72°

Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

Answer:

The original length of the new candle is 10 inches

Step-by-step explanation:

The form of the linear function is y = m x + b, where

∵ L represents the length of the candle remeaning unburned in inches

∵ t represents the time after the candle was lit in hours

∵ The relationship between L and t is linear

→ Put it in the form of the equation above

∴ L = m t + b, where b is the original length of the new candle

→ Use the table to find m

∵ m = \(\frac{L2-L1}{t2-t1}\)

∵ (1, 9) and (6, 4) are two points in the given table

∴ t1 = 1 and L1 = 9

∴ t2 = 6 and L2 = 4

→ Substitute them in the rule of m above

∵ m = \(\frac{4-9}{6-1}\) = \(\frac{-5}{5}\) = -1

∴ m = -1

→ Substitute it in the equation above

∵ L = -1(t) + b

∴ L = -t + b

→ To find b substitute t by 1 and L by 9

∵ 9 = -(1) + b

∴ 9 = -1 + b

→ Add 1 to both sides

∵ 9 + 1 = -1 + 1 + b

∴ 10 = b

∵ b is the original length of the new candle

∴ The original length of the new candle is 10 inches

The Owen's long-term assets amount to $44,000. This is calculated by subtracting his annual expenses of $48,000 from his total assets, which are determined to be $92,000 based on a debt-to-asset ratio of 0.5 and total liabilities of $46,000. Therefore, the correct option is d) $44,000.


Owen's long-term assets can be calculated using the given information. Let's break down the problem step by step:

1. Debt-to-asset ratio: Owen's debt-to-asset ratio is 0.5. This ratio is calculated by dividing total liabilities by total assets. Since we know the ratio, we can express it as a fraction: Debt-to-asset ratio = Liabilities / Assets.

2. Liabilities: Owen's liabilities total $46,000, which means Liabilities = $46,000.

3. Total assets: To find Owen's total assets, we can use the debt-to-asset ratio. We know that Debt-to-asset ratio = Liabilities / Assets. Rearranging the equation, we have Assets = Liabilities / Debt-to-asset ratio.

  Plugging in the given values, we can calculate Owen's total assets:

  Assets = $46,000 / 0.5 = $92,000.

4. Emergency fund: Since Owen needs to maintain the minimum emergency fund, we need to subtract the annual expenses from the total assets. Owen's annual expenses are $48,000. So, his long-term assets would be:

  Long-term assets = Total assets - Annual expenses = $92,000 - $48,000 = $44,000.

Therefore, Owen's long-term assets amount to $44,000. The correct answer option would be d) $44,000.

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Answer:

The 9 in the thousands place equals a thousand (9,000) and the place to the right equals a hundred (900).

Step-by-step explanation:

Answer:

Step-by-step explanation:

9000 - 900

= 8100

The limit lim (9x^2 - 2) / (72 - 2x) is undefined or does not exist.

To evaluate the limit, let's assume that:

lim g(x) = 2

lim (9x^2 - 2) / (72 - 2x)

We need to find the value of the given limit. Given that lim g(x) = 2, we can write:

lim (9x^2 - 2) / (72 - 2x) = 2

Multiplying both sides by (72 - 2x), we get:

lim (9x^2 - 2) = 2(72 - 2x)

Now, let's evaluate the limit of the left-hand side:

lim (9x^2 - 2) = lim 9x^2 - lim 2 = infinity - 2 = infinity

Thus, 2(72 - 2x) equals infinity, as infinity multiplied by any number except zero is equal to infinity.

Dividing both sides by 2, we have:

72 - 2x = infinity / 2 = infinity

Simplifying further, we find:

x = 36

However, we need to consider that the limit does not exist. As x approaches 36, the denominator of the fraction approaches zero, and the fraction becomes undefined.

Hence, the limit lim (9x^2 - 2) / (72 - 2x) is undefined or does not exist.

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Answer:

Step-by-step explanation:

6+3x=27

-6 for both sides

3x=21, divide both by 3

x=7

so 2x would be 14 as 2*7 equals 14

If the value of the variable x is 7. Then the value of the expression 2x will be 14.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equation is given below.

6 + 3x = 27

Simplify the equation, then we have

6 + 3x = 27

3x = 27 - 6

3x = 21

x = 21 / 3

x = 7

Then the value of the expression 2x will be given as,

2x = 2 (7) = 14

If the value of the variable x is 7. Then the value of the expression 2x will be 14.

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Answer:

True

Step-by-step explanation:

same numbers on both sides = equivalent expression

1+2+4 = 7

7-5 = 2

So the first side is 2

-5 + 4 = -1

-1 + 2 + 1 = 2

So the second side is 2

Simplified, this is 2 = 2

This is TRUE because this is an equivalent expression,  demonstrated by the equal sign.

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To complete the table, we need to evaluate the limit as x approaches 0 of the given expression: lim x→0 (6cos(x) - 6x)

To do this, we can use L'Hopital's rule. Taking the derivative of both the numerator and denominator, we get: lim x→0 (-6sin(x) - 6)

Plugging in x=0, we get: -6sin(0) - 6 = -6

Therefore, the limit as x approaches 0 of 6cos(x) - 6x is equal to -6.

Here is the completed table: | x | 0.1 | 0.01 | 0.001 | 0.0001 | |--------|-----------|-----------|-----------|-----------| | f(x) | 5.994988 | 5.99995 | 5.999995 | 5.9999995 | | g(x) | 0.6001675 | 0.060005 | 0.006 | 0.0006 | | h(x) | 9.994988 | 9.99995 | 9.999995 | 9.9999995 | | lim | -6 | -6 | -6 | -6 |

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It takes approximately 26.56 seconds for the ferris wheel to make one revolution.

so, the correct option is: e) 26.56 seconds

Here, we have,

The ferris wheel makes one complete revolution when the distance of the person above the ground returns to the original value after completing a full circle.

This occurs when the sine function returns to its maximum value, which is 1.

Thus, we have the following equation:

20 * sin(π/30 * t) + 10 = 20

Solving for t,

we will get:

sin(π/30 * t) = 0.5

Taking the inverse sine of both sides:

(π/30 * t) = sin^-1(0.5)

Multiplying both sides by 30/π,

we will get the following:

t = (30/π) * sin^-1(0.5)

Now solving the value of t

We will get it as: t ≈ 26.56 seconds.

so, the correct option is: e) 26.56 seconds

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complete question:

the distance from the ground of a person riding on a ferris wheel can be modeled by the equation d equals 20 times the sine of the quantity pi over 30 times t end quantity plus 10 comma where d represents the distance, in feet, of the person above the ground after t seconds. how long will it take for the ferris wheel to make one revolution?

a) 10 seconds

b) 20 seconds

c) 30 seconds

d) 60 seconds

e) 26.56 seconds

Answer:

\(\boxed{\textsf {The given polynomial is a quadratic polynomial. }}\)

Step-by-step explanation:

A polynomial is given to us and we need to make the polynomial by its degree . Here the given polynomial is 3x² + 5x -3 .

\(\sf\implies p(x)= 3x^2+5x-3 \)

So here we can see that the highest power of the variable in the given polynomial is 2 . So the polynomial is a quadratic polynomial .

★ More to Know :-

When we equate this quadratic polynomial with 0 , it becomes a quadratic equation.

That is ,

\(\sf\implies p(x)= 3x^2+5x-3=0\)

This is done in order to find the zeroes of the polynomial. The zeroes of the polynomial are the values for which the polynomial becomes 0 .

Answer:

23 and 45

Step-by-step explanation:

This is really just a simple division question.  All we have to do to solve the first half is divide 332 by 15:

\(332 / 15 = 22.133333333\)

We'll want to round that up to 23, because it seems they're asking for integers here.

For the next part of the question, all we have to do is double the result of the last operation and round that number up as well:

\(22.13333333 *2 = 44.2666667\)

Which rounded gives us 45.

Hope this helps!

Answer:

Samuel will need 23 pieces of wood.

Theresa will need 46 pieces of wood.

Step-by-step explanation:

To find how many total pieces Samuel will need, we have to divide 332 feet into 15, since each piece of wood is equivalent to 15 feet:

\(332\) ÷ \(15=22.1333\)

Samuel can't have a portion of wood, the wood pieces he has must be represented as a whole number. We have to round up to 23 pieces of wood.

Samuel will need 23 pieces of wood to build his fence.

_

If Theresa needs twice as many feet as wood, we have to multiply Samuel's pieces of wood by its length (15 feet):

\(23\) × \(15=345\)

Multiply \(345\) by 2:

\(345\) × \(2=690\)

Now, divide \(690\) by \(15\):

\(690\) ÷ \(15\)

\(=46\)

Theresa will need 46 pieces of wood.

Answer:

Step-by-step explanation:

“It is hard enough to remember my opinions, without also remembering my reasons for them!”

- Friedrich Nietzsche

The main task for members during the final session is to put into words what has transpired from the first to the final session.

The group's goals should be discussed during the first few meetings, then each member's personal goals should be covered. Even small toddlers can follow and take part in these dialogues. They must be aware that the emphasis will be on defining and exploring particular issues and themes.

Over the years, I've discovered that assisting customers in comprehending what will occur during their initial meeting (often referred to as the "intake session") can be extremely beneficial in putting them at ease and beginning our partnership on a cordial and inviting note.

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To find how many miles Roger travels in one hour, we need to divide the total distance he traveled by the time he took:

miles per hour = total miles ÷ total time

In this case, Roger traveled 440 miles in 8 hours, so:

miles per hour = 440 miles ÷ 8 hours

miles per hour = 55 miles per hour

Therefore, Roger travels 55 miles in one hour.

Answer:

To find how many miles Roger travels in one hour, we can divide the total distance he traveled by the total time he took to travel that distance.

We are given that Roger traveled 440 miles in 8 hours, so:

miles per hour = total distance / total time

miles per hour = 440 miles / 8 hours

miles per hour = 55 miles per hour

Therefore, Roger travels 55 miles in one hour.

Hope This Helps!

The probability that a randomly selected bill will be at least $39.10 is 0.03216 percent.

According to the question, given that

The average daily dinner tab at a nearby restaurant has a normal distribution with a standard deviation of $6 and a mean of $28.

Let X = daily dinner bills in a local restaurant

So, X ~ N(μ = 28, σ^2 = \(6^{2}\) )

The following equations give the normal distribution's z-score probability distribution:

 Z = (X - μ) /σ  ~ N(0,1)

where,  μ = mean amount = $28

            σ  = standard deviation = $6

The Z-score calculates the deviation of the measure from the mean in standard deviations. We look at the z-score table after determining the Z-score to determine the p-value (area) connected to it. The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value.

As a result, = P(X $39.10) is the chance that a randomly chosen bill will be at least $39.10.

P(X ≥ $39.10) = P (X - μ) /σ  ≥ \(\frac{39.10 - 28}{6}\)) = P(Z ≥ 1.85) = 1 - P(Z < 1.85)

                                                               = 1 - 0.96784 = 0.03216

Now, the P(Z x) or P(Z x) is presented in the z table. By examining the value of x = 1.85 in the z table, which has an area of 0.96784, the probability stated above is derived.

Therefore, there is a 0.03216 percent chance that a randomly chosen bill will be at least $39.10.

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To predict a linear regression score, you first need to train a linear regression model using a set of training data.

Once the model is trained, you can use it to make predictions on new data points. The predicted score will be based on the linear relationship between the input variables and the target variable,

A higher regression score indicates a better fit, while a lower score indicates a poorer fit.

To predict a linear regression score, follow these steps:

1. Gather your data: Collect the data p

points (x, y) for the variable you want to predict (y) based on the input variable (x).

2. Calculate the means: Find the mean of the x values (x) and the mean of the y values (y).

3. Calculate the slope (b1): Use the formula b1 = Σ[(xi - x)(yi - y)]  Σ(xi - x)^2, where xi and yi are the individual data points, and x and y are the means of x and y, respectively.

4. Calculate the intercept (b0): Use the formula b0 = y - b1 * x, where y is the mean of the y values and x is the mean of the x values.

5. Form the linear equation: The linear equation will be in the form y = b0 + b1 * x, where y is the predicted value, x is the input variable, and b0 and b1 are the intercept and slope, respectively.

6. Predict the linear regression score: Use the linear equation to predict the value of y for any given value of x by plugging the x value into the equation. The resulting y value is your predicted linear regression score.

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Answer: The answer is D

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

There are 5 total counters and 3 of them are white counters so you have a 60% chance to get a white counter.

hope this helps

Answer:One is 2 feet and one is 4 feet

Step-by-step explanation:

The scaling property of the Fourier transforms states that if we scale the function g(t) by a constant factor c, then its Fourier transform G(jw) will be scaled by a factor of 1/|c| and shifted by a factor of c.

This property can be expressed mathematically as follows:

F{g(ct)} = ∫ g(ct) \(e^{(-jw t)}\) dt

Let u = ct, then du/dt = c, and dt = du/c

Substituting this in the above equation, we get:

F{g(ct)} = ∫ g(u) \(e^{(-jw u/c)}\) du/c

= (1/c) ∫ g(u) e^(-jw u/c) du

= G(jw/c) / |c|

Therefore, we can conclude that the Fourier transform of a scaled function is obtained by scaling the Fourier transform of the original function by a factor of 1/|c|. This property is useful in signal processing and communication systems where signals are often scaled before transmission or processing.

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Therefore , the solution of the given problem of speed comes out to be the average distance travelled is  225 meters.

We can determine how fast that anything is traveling by looking at it from a distance. The amount of distance an object can go in a given length of time depends on its speed. Velocity is calculated using the formula velocity = distance/time. The three most used units of speed are meters per second (m/s), kilometers per hour (km/h), and miles per hour (mph) (mph).

Here,

Given :

Time =  40 seconds.

To find the distance:

We use speed and time formula

=> distance = speed * time

=> distance = 15 * 30

=> distance =  225 meters.

Therefore , the solution of the given problem of speed comes out to be the average distance travelled is  225 meters.

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Answer:

The result of decimal expansion of  \(8/15\) is \(0.533\).

Step-by-step explanation:

Hence the decimal expansion by simple division of \(8/15\) is \(0.533\).

Answer:

SLAY

Step-by-step explanation:

UWU