Mai is filling her fish tank. How many gallons of water will be in the fish tank after
3 minutes? *

Answer:

28/15

Step-by-step explanation:

have a wonderful day :)

Answer:

1 13/15

Step-by-step explanation:

7/10 ÷ 3/8

Copy dot flip

7/10 * 8/3

Rewrite

7/3 * 8/10

Simplify

7/3 * 4/5

Multiply

28/15

Change to a mixed number

15 goes into 28 1 time with 13 left over

1 13/15

Answer:

(-4, -1)

Step-by-step explanation:

The midpoint formula is [ (x1+x2/2,y1+y2/2) ]

(-1+(-7)/2, 2+(-4)/2)

(-8/2, -2/2)

(-4, -1)

Best of Luck!

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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If log 7 equals a and log 8 equals b then log 224 equals: E: none of the above.

Simplify the expression for log (224) by using:

log (ab) = log (a) + log (b) and log (a/b) = log (a) - log (b):

So,

log (224) = log ( 7 × 8 × 4)

= log (7) + log (8) + log (4)

Since log(4) = 0 (since 4 = 2^2)

Simplify

log(224) = log (7) + log (8) + log (4)

= log 7 + log 8

= a + b

Therefore the correct option is E.

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To analyze the function f(x) = 5x + 2, let's find the critical numbers and determine the intervals where the function is defined and its behavior.

First, let's find the critical numbers by setting the derivative of the function equal to zero:

f'(x) = 5

Setting 5 equal to zero, we find that there are no critical numbers.

Next, let's determine the intervals where the function is defined and its behavior.

The function f(x) = 5x + 2 is defined for all real values of x since there are no restrictions on the domain.

Now, let's analyze the behavior of the function on different intervals:

- For the interval (-∞, A), where A is the smallest value in the domain, the function increases since the coefficient of x is positive (5).

- For the interval (A, B), the function continues to increase since the coefficient of x is positive.

- For the interval (B, C), where B is the largest value in the domain, the function still increases.

- For the interval (C, ∞), the function continues to increase.

In summary, the function f(x) = 5x + 2 is defined for all real values of x. It increases on the intervals (-∞, ∞). There are no critical numbers for this function.

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Answer:

y = -0.3x + 105

Step-by-step explanation:

slope-intercept form: y = mx + b

so look at the first two points given (25, 97.5) and (35, 94.5),

you can find its slope m by using m = (change in y) / (change in x)

                                                           = (94.5-97.5) / (35-25)

                                                           = (-3) / (10) = -0.3

now you know y = -0.3x + b, sub the first point (25, 97.5) into the equation of this line, you get 97.5 = (-0.3)*(25) + b => b = 97.5 - (-7.5) = 105

so final answer y = -0.3x + 105

Done :)

The required  linear equation is  y = -0.3x + 105.

A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.

It can be represented as a straight line on a graph.

The Table for different values of x and y is given in the problem.

In order to find the linear equation, at first the slope has to be found as follows,

Select two values of x and y for the given table as (25, 97.5) and (35, 94.5).

For these two points the slope can be found using the expression,

slope = (y₂ - y₁) / (x₂ - x₁)

          = (97.5 - 94.5) /(25 - 35)

          = -3/10

Now, the equation for the slope -3/10 and point (25, 97.5) is,

y - 97.5 = -3/10(x - 25)

=> 10y - 975 = -3x + 75

=> y = -0.3x + 105

Hence, the equation for given table is y = -0.3x + 105.

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In quadrant IV, \(\cos(A)\) is positive. So

\(\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = \sqrt{1-\sin^2(A)} \approx 0.6258\)

Then by the definition of tangent,

\(\tan(A) = \dfrac{\sin(A)}{\cos(A)} \approx \dfrac{-0.78}{0.6258} \approx \boxed{-1.2465}\)

No, the idea that water always goes down the drain counterclockwise in the northern hemisphere and clockwise in the southern hemisphere is a myth.

The direction that water drains is actually determined by the shape of the sink or toilet bowl, as well as any other factors such as the water pressure and the motion of the water before it enters the drain. The Coriolis effect, which is often cited as the cause of the supposed clockwise/counterclockwise rotation, only affects large-scale phenomena like weather patterns and ocean currents, and is not noticeable in small-scale phenomena like draining water. So, in reality, the direction that water drains is not determined by the hemisphere in which you are located.

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Complete question

Does water go down the drain counterclockwise in the northern hemisphere and clockwise in the southern hemisphere?

Answer:

(3.9,4.45)

Hope this helps.

Answer:

A

Step-by-step explanation:

first option, as the decrease percentage is applicated on a greater number than the original

e.g.

A

a= 10

B

10 + 50% = 15

15 - 50% = 7,5

A will be greater then B by 25%

Answer:

  y = 0.01(x +7)(x +3)

Step-by-step explanation:

For intercepts p and q, the equation will be ...

  y = a(x -p)(x -q)

For the given intercepts, the equation is ...

  y = a(x +7)(x +3)

We can find the value of 'a' by using the given point:

  0.05 = a(-2+7)(-2+3) = 5a

  0.01 = a . . . . divide by 5

The complete equation is ...

  y = 0.01(x +7)(x +3)

In order to see if the differences between time zones are significant,  Customer Satisfaction Score test will have to be run.

A customer satisfaction score (CSAT score) is the measurement of customer satisfaction level through a one-question survey. It ask from users to rate their experience with the brand’s products or services.

Customers answer based on the scale from “extremely dissatisfied” to “extremely satisfied.” Businesses can use the score so that they can determine their satisfaction levels at the crucial touchpoints like the store visit, point of sale, product use, or the digital conversation with customer support staff.

Hence, the test which will have to run is Customer Satisfaction Score(CSAT).

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Answer:

Step-by-step explanation:

Step-by-step explanation:

The problem bothers on fractions, here we are being presented with mixed fractions.

what we are going to do bascially is to subtract the sum of all the uloaded

peat moss in sites 1 and 2 to get from the peat moss to get the remaining for the third site

therefore

\(10\frac{2}{5}-(2\frac{2}{3}+ 2\frac{1}{4})\)

we then have to convert the mixed fraction to further simplify the problem we have

\(\frac{52}{5}-(\frac{8}{3}+ \frac{9}{4})\)

we then solve the fraction to the right of the negative symbol first

\(=\frac{52}{5}-(\frac{8}{3}+ \frac{9}{4})\\\\=\frac{52}{5}-\frac{32+27}{12} \\\\=\frac{52}{5}-\frac{59}{12} \\\\\=\frac{624-295}{60} \\\\=\frac{329}{60}\)

We can now convert to mixed fraction

\(=\frac{329}{60}\\\\ =5\frac{12}{25}\)

For the third site the remainder is 5 12/25

Answer:

The building to the left is taller.

Step-by-step explanation:

Building on right:

tan 40° = a/56

a = 56 tan 40° = 46.99

Building on left:

tan 50° = b/49

b = 49 tan 50° = 58.40

The building to the left is taller.

let me be a `x` then find selling price

Normal probability distribution is applied to a continuous random variable. The correct option is D.

The normal probability distribution, also known as the Gaussian distribution, is a probability distribution that is commonly used in statistics and probability theory. It is a continuous probability distribution that is often used to model the behavior of a wide range of variables, such as physical measurements like height, weight, and temperature.

The normal distribution is characterized by two parameters: the mean (μ) and the standard deviation (σ). It is a bell-shaped curve that is symmetrical around the mean, with the highest point of the curve being located at the mean. The standard deviation determines the width of the curve, and 68% of the data falls within one standard deviation of the mean, while 95% falls within two standard deviations.

The normal distribution is widely used in statistical inference and hypothesis testing, as many test statistics are approximately normally distributed under certain conditions. It is also used in modeling various phenomena, including financial markets, population growth, and natural phenomena like earthquakes and weather patterns.

Overall, the normal probability distribution is a powerful tool for modeling and analyzing a wide range of continuous random variables in a variety of fields.

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f is a gradient vector field with the potential function v(x,y,z) = -6xy. We can check that v(0,0,0) = 0, as required.

To determine the function v such that f=∇v, we need to find a scalar function whose gradient is f. We can find the potential function v by integrating the components of f.

For the x-component, we have:

∂v/∂x = -6y

Integrating with respect to x, we get:

v(x,y,z) = -6xy + g(y,z)

where g(y,z) is an arbitrary function of y and z.

For the y-component, we have:

∂v/∂y = -6x

Integrating with respect to y, we get:

v(x,y,z) = -6xy + h(x,z)

where h(x,z) is an arbitrary function of x and z.

For these two expressions for v to be consistent, we must have g(y,z) = h(x,z) = 0 (i.e., they are both constant functions). Thus, we have:

v(x,y,z) = -6xy

So, the gradient of v is:

∇v = ⟨∂v/∂x, ∂v/∂y, ∂v/∂z⟩ = ⟨-6y, -6x, 0⟩

which is the same as the given vector field f. Therefore, f is a gradient vector field with the potential function v(x,y,z) = -6xy. We can check that v(0,0,0) = 0, as required.

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Answer:

64 6/7

Step-by-step explanation:

Answer: 2021

Step-by-step explanation:

The largest possible rank of a 6x5 matrix is 5, and the largest possible rank of a 5x6 matrix is also 5.

To explain this, let's first define the rank of a matrix.

The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. For a matrix with dimensions m x n (m rows and n columns), the rank can never be more than the minimum of m and n. This is because you cannot have more linearly independent rows than the number of columns or more linearly independent columns than the number of rows.

For a 6x5 matrix (A), there are 6 rows and 5 columns. The minimum of these is 5, so the largest possible rank of A is 5.

For a 5x6 matrix (B), there are 5 rows and 6 columns. The minimum of these is 5, so the largest possible rank of B is also 5.

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Mate's car can travel approximately 5 more minutes per gallon of gas compared to Jenna's car.

To determine how many more minutes Mate's car can travel per gallon of gas compared to Jenna's car, we would need additional information about the fuel efficiency or miles per gallon (MPG) for each car.

Fuel efficiency is typically measured in terms of miles per gallon, indicating the number of miles a car can travel on a gallon of gas.

To calculate the difference in travel time, we would also need to know the average speed at which the cars are traveling.

Once we have the MPG values for Mate's car and Jenna's car, we can calculate the difference in travel time per gallon of gas by considering their respective fuel efficiencies and average speeds.

If Mate's car has a fuel efficiency of 30 MPG and Jenna's car has a fuel efficiency of 25 MPG, we can calculate the difference in travel time by comparing the distances they can travel on a gallon of gas.

Let's assume both cars are traveling at an average speed of 60 miles per hour.

For Mate's car:

Travel time = Distance / Speed

= (30 miles / 1 gallon) / 60 miles per hour

= 0.5 hours or 30 minutes.

For Jenna's car:

Travel time = Distance / Speed

= (25 miles / 1 gallon) / 60 miles per hour

= 0.4167 hours or approximately 25 minutes.

Without specific information about the MPG values and average speeds of the cars, it is not possible to provide an accurate answer regarding the difference in travel time per gallon of gas between Mate's car and Jenna's car.

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We know that the initial population is 10,000, since the popuation grows at a rate of 1.2% yearly the first year the population will be:

Remembering that the population growth is given as:

where y is the final population, a is the initial population and b is the growth factor we have in this case that:

Then, after three years we will have:

Therefore after three years we will have approximately 10364 people.

Given:

The function is

\(f(x+2)=2x+3\)

To find:

The value f'(4).

Solution:

We have,

\(f(x+2)=2x+3\)

Putting \(x+2=t\) and \(x=t-2\) we get

\(f(t)=2(t-2)+3\)

\(f(t)=2t-4+3\)

\(f(t)=2t-1\)

Differentiate with respect to t.

\(f'(t)=2(1)-0\)

\(f'(t)=2\)

At \(t=4\), we get

\(f'(4)=2\)

Therefore, the value of f'(4) is 2.

Answer:

1

Step-by-step explanation:

To find the median number of musical instruments played, we first need to arrange the data in ascending order:

0, 0, 0, 0, 1, 1, 2, 2, 3, 3, 3

Next, we count the total number of responses, which is 15. Since 15 is an odd number, the median will be the average of the middle value.

The middle value is 1

Hence, the median number of musical instruments played is 1.

Answer

2.(2,1)

3. (2,2)

Step-by-step explanation:

Given,

2.2x+y=4

x+3y=_3

sol

2x+y=4..... equation i

x+3y=_3 ....eq ii

eq ii of 2 multiple the eq i

2x+y=4

2x+6y=_6

_ _ +

__________

o+ 5y = 10

y =10÷5

y = 2 ans

y valu put the eq 1

2x+y=4

2x+2=4

2x=4_2

2x=2

x=2÷2

x=1

3.

sol

3x+5y=4..... eq 1

x+3y=4 ..... eq 2

eq 2 multiple eq 1. 3

3x+5y=4

3x+9y=12

_ _ _

___________

0x+4y=8

4y=8

y=8÷4

y=2 ans

the y value put the eq 1

3x+5y=4

3x+5×2=4

3x+10=4

3x=10_4

3x=6

x=6÷3

×=2 ans

Answer:

(3, - 2 ) and (- 2, 2 )

Step-by-step explanation:

(8)

2x + y = 4 → (1)

x + 3y = - 3 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the x- term

- 2x - 6y = 6 → (3)

Add (1) and (3) term by term to eliminate x

0 - 5y = 10

- 5y = 10 ( divide both sides by - 5 )

y = - 2

Substitute y = - 2 into either of the 2 equations and solve for x

Substituting into (1)

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

2x = 6 ( divide both sides by 2 )

x = 3

solution is (3, - 2 )

---------------------------------------------

(9)

3x + 5y = 4 → (1)

x + 3y = 4 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate the x- term

- 3x - 9y = - 12 → (3)

Add (1) and (3) term by term to eliminate x

0 - 4y = - 8

- 4y = - 8 ( divide both sides by - 4 )

y = 2

Substitute y = 2 into either of the 2 equations and solve for x

Substituting into (2)

x + 3(2) = 4

x + 6 = 4 ( subtract 6 from both sides )

x = - 2

solution is (- 2, 2 )

The solution is, MR = 50 - 6Q is marginal revenue function for the firm.

We have,

Increasing product sales by one-unit results in an increase in total revenue, which is known as marginal revenue, a key notion in microeconomics.

Examining the difference between the total advantages a company gained from the quantity of a good or service produced during the previous period and the present period with an additional unit increase in the rate of production is necessary to determine the value of marginal revenue.

In a market where there is perfect competition, the extra money made from selling a further unit of a good is equal to the price the company can charge the buyer.

A monopolistic firm is a major producer in the market and changes in its output levels have an impact on market prices, which in turn determine the sales of the entire industry in an imperfectly competitive environment.

P = 50 - 3Q*2

MR = 50 - 6Q

Hence,  MR = 50 - 6Q is marginal revenue function for the firm.

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complete question:

A monopoly produces widgets at a marginal cost of $10 per unit and zero fixed costs. It faces an inverse demand function given by P = 50 - 3Q. Which of the following is the marginal revenue function for the firm?

A) MR = 100 - Q

B) MR = 50 - 2Q

C) MR = 60 - 2Q

D) MR = 50 - 6Q

The 8% of people who wait the shortest for a heart transplant wait no more than approximately 173.976 days. Rounded to the nearest whole number, this is 174 days.

To find the number of days that the 8% of people who wait the shortest for a heart transplant wait no more, we can use the fact that the time spent waiting for a heart transplant follows a normal distribution with a mean of 204 days and a standard deviation of 25.7 days.

We are looking for the value x such that P(X ≤ x) = 0.08, where X is the random variable representing the time spent waiting for a heart transplant.

We can use the standard normal distribution to find the value of x that satisfies this condition. The standard normal distribution has a mean of 0 and a standard deviation of 1. We can use the following formula to convert the normal distribution with a mean of 204 and standard deviation of 25.7 to the standard normal distribution:

z = (x - mean) / standard deviation

Substituting the given values into this formula, we get:

z = (x - 204) / 25.7

To find the value of x that satisfies the condition P(X ≤ x) = 0.08, we need to find the value of z that corresponds to the 8th percentile of the standard normal distribution. The 8th percentile is the value such that 8% of the values in the distribution are less than or equal to this value.

We can use a standard normal table or a calculator to find the value of z that corresponds to the 8th percentile of the standard normal distribution. The value of z is approximately -1.28.

Substituting this value into the formula above, we get:

-1.28 = (x - 204) / 25.7

Solving for x, we get:

x = 204 + (-1.28) * 25.7

x = 173.976

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Answer:

\(\frac{1}{7}\,\,miles/minute\)

Step-by-step explanation:

Given: Travis and Tony took 40 minutes to skate 5 miles and the return trip took them 30 minutes

To find: average speed for the trip

Solution:

Total distance = 5 + 5 = 10 miles

Total time = 40 + 30 = 70 minutes

So,

Average speed for the trip = Total distance/Total time = \(\frac{10}{70}=\frac{1}{7}\) miles/minute