Suppose you are designing a plant that treats 0.3 m3/s. The plant uses two parallel flocculation basins, each 12 m long (total) x 4 m wide with a 4 m water depth. What is the overall time (min) required for the flocculation step

Answer:

B D E F

Step-by-step explanation:

a mathematical sentence makes a statement about TWO expressions. it can also use symbols or words like equals, greater than, or less than.

Answer:

5 1/10

Step-by-step explanation:

Convert all integers to decimals.

6.1

5.4

5 1/10 = 5.1

6 7/10 = 6.7

The smallest number frrom the list is 5.1 or 5 1/10.

Answer:

5 1/10

Step-by-step explanation:

Convert to the same format, IE. decimals so you can compare like numbers.  The other numbers are:

6.1

5.4

5.1      (1/10 = 0.1)

6.7      (7/10 = 0.7)

So, from least to greatest they are:

5.1

5.4

6.1

6.7

Steps:

Simplify:

5³/5⁷

= 5³/5⁷

= 5*5*5/ 5*5*5*5*5*5*5

=1/5⁴

=1/625 (Decimal: 0.0016)

Steps by Step:

5³/5⁷

=125/5⁷

=125/78125

=1/625

Answer:   =1/625       (Decimal: 0.0016)

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Hope this helps.

Answer:

\(3\)

Step-by-step explanation:

\(\mathrm{The\ slope\ of\ a\ line\ passing\ through\ the\ points\ (x_1,y_1)\ and\ (y_2,y_1)\ is\ given\ by:}\\\mathrm{Slope(m)=\frac{y_2-y_1}{x_2-x_1}}\\\\\mathrm{According\ to\ the\ question,}\\\mathrm{(x_1,y_1)=(0,-2)}\\\mathrm{(x_2,y_2)=(-2,-8)}\)

\(\mathrm{Therefore\ the\ slope=\frac{-8-(-2)}{-2-0}=\frac{-8+2}{-2}=3}\)

Answer:

4 is one factor as gcf

The solution is, the finally discounted price is 71.5.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

sale price = 90

15% discount, so, the price = 90* 85%

                                            =76.5

now, after 5 discount, price became = 76.5 - 5

                                                             = 71.5

Hence, The solution is, the finally discounted price is 71.5.

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The required solution to the trigonometry equation is x = π/4 + π n.

The equation of trigonometry functions is given in the question as

secx - cscx = 0

We have to determine the solution to the given equation

As per the question, we have

⇒ secx - cscx = 0

⇒ 1/cosx - 1/sinx = 0

⇒ (-cosx + sinx)/cosxsinx = 0

Using property : f(x)/g(x) = 0 ⇒ f(x) = 0

⇒ -cosx + sinx = 0

Divided by cosx into the equation,

⇒ -1 + tanx = 0

⇒ tanx  = 1

The general solution for tan tanx  = 1 is

⇒ x = π/4 + π n

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Answer:

12+4 is the expression that will give you a sum of 16

4•4 is an expression that will give you a product of 16

remember an expression does not have an equal sign if it had an equal sign then it would be an equation and expression has no equal sign

a) the direction of maximum rate of change at (-1,1,2) is:  ⟨-8/√((-8)^2 + (26e^-3)^2 + (-12r)^2), 26e^-3/√((-8)^2 + (26e^-3)^2 + (-12r)^2), -12r/√((-8)^2 + (26e^-3)^2 + (-12r)^2)⟩ b) Rate of change ≈ 11.46

(a) To find the direction in which the maximum rate of change of f(x,y,z) occurs at (-1,1,2), we need to calculate the gradient of the function at that point.

∇f(x,y,z) = ⟨yz^3, 3ryz^2-2ely^-3, r3yz^2⟩

So at (-1,1,2),

∇f(-1,1,2) = ⟨-8, 26e^-3, -12r⟩

To find the direction of maximum rate of change, we need to normalize this vector by dividing it by its magnitude:

||∇f(-1,1,2)|| = √((-8)^2 + (26e^-3)^2 + (-12r)^2)

Now, we don't have a specific value for r, so we can't simplify this expression further. We'll leave it in terms of r and e.

So  the direction of maximum rate of change at (-1,1,2) is:  

⟨-8/√((-8)^2 + (26e^-3)^2 + (-12r)^2), 26e^-3/√((-8)^2 + (26e^-3)^2 + (-12r)^2), -12r/√((-8)^2 + (26e^-3)^2 + (-12r)^2)⟩

(b) To find the maximum rate of change of the function at (-1,1,2), we need to take the dot product of the normalized gradient vector with the direction vector.

Rate of change = ∇f(-1,1,2) · ⟨-8/√((-8)^2 + (26e^-3)^2 + (-12r)^2), 26e^-3/√((-8)^2 + (26e^-3)^2 + (-12r)^2), -12r/√((-8)^2 + (26e^-3)^2 + (-12r)^2)⟩

Simplifying this expression, we get:

Rate of change = (-8)(-8/√((-8)^2 + (26e^-3)^2 + (-12r)^2)) + (26e^-3)(26e^-3/√((-8)^2 + (26e^-3)^2 + (-12r)^2)) + (-12r)(-12r/√((-8)^2 + (26e^-3)^2 + (-12r)^2))

Again, we can't simplify this expression further since we don't have a specific value for r. So our answer is:

Rate of change = (-8)(-8/√((-8)^2 + (26e^-3)^2 + (-12r)^2)) + (26e^-3)(26e^-3/√((-8)^2 + (26e^-3)^2 + (-12r)^2)) + (-12r)(-12r/√((-8)^2 + (26e^-3)^2 + (-12r)^2))

Rounded to two decimal places, the answer is:

Rate of change ≈ 11.46

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The sketching  a cube with 3 units on each edge on isometric drawing dot paper, follow these steps:

Start by drawing a horizontal line segment of 3 units on the isometric dot paper. This will serve as the base of the cube.

From each end of the base, draw two vertical lines upward, each measuring 3 units. These lines should be parallel to each other and perpendicular to the base.

Connect the corresponding ends of the vertical lines with a horizontal line segment, creating the top face of the cube. Ensure that this line segment is also 3 units long.

Connect the corresponding vertices of the base and top face with vertical lines, completing the visible edges of the cube. These lines should be parallel to each other and perpendicular to both the base and top face.

Finally, draw dashed lines to represent the hidden edges of the cube. These dashed lines connect the non-corresponding vertices of the base and top face.

By following these steps, you will have sketched a cube with 3 units on each edge on isometric dot paper. Isometric dot paper is specifically designed to assist in drawing three-dimensional objects, and the dots on the paper help maintain the correct proportions.

Therefore,  it is important to align the lines and vertices properly to ensure an accurate representation of the cube.

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Answer:

$67 - $11=  $56 Price of Concert Ticket

Step-by-step explanation:

If you subtract the Total amount of money Mr. Lee had at the begining of the concert and after he bought a ticket you will get the price of the ticket.

Total Money - After Ticket = Price of Ticket

Imput the Variables....

(Total Money) $67 - $11 (After Ticket) = $56 (Price of Ticket)

After considering all the given options we come to the conclusion that the example of an unsecured loan is credit card debt. The answer is Option A



An unsecured loan refers to a loan that is generated and supported only by the borrower's creditworthiness, rather than by any type of collateral.

Instances of unsecured loans include personal loans, student loans, and credit cards.

Some of the advantages of unsecured loans involve

Flexibility: Unsecured loans aids in choosing how long the individual want to repay, with most borrowers making fixed repayments for between one and five years.

No risk to your property: With unsecured loans, the individual  don’t have to put down collateral and an item own that lenders can take if default. This means the individual don’t have to risk their personal property.

Some of the disadvantages of unsecured loans involve

Higher interest rates: Unsecured loans consume higher interest rates than secured loans only because they are riskier for lenders.

Hard to meet the standards and guidelines to qualify to receive the loan

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The graph which represents the linear equation y = 1/2 x + 2 is the graph of a line passing through the points (-4, 0) and (0, 2).

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

The slope intercept form of a line is,

y = mx + c,

m : slope and c : y intercept

y intercept is the y coordinate of a point when x coordinate equals 0.

Given linear equation is y = 1/2 x + 2.

m = 1/2 and c = 2

Find the slope and y intercept of each of the line in the options given.

In the first option, we have the point (0, -2).

y intercept of this line = -2, which is not the required y intercept.

In the second option, points given are (-4, 0) and (0, 2).

Since we have the point (0, 2), y intercept = 2

m = (2 - 0) / (0 - -4) = 2 / 4 = 1/2

So the line in the second option is the required line.

Hence the graph of the line represented in the second option is the required line.

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Each of the inequalities on the left should be matched with the correct statement about that inequality on the right as follows;

In Mathematics, it is very important to note that you do not flip the inequality symbol (sign) when you are solving an inequality by multiplication or division with a positive numerical value (number).

Next, we would evaluate each of the inequalities on the left as follows;

-4r ≤ 22

Dividing both sides of the inequality by -4, we have:

-4r/-4 ≤ 22/-4

r ≤ -22

Next, we would flip the inequality symbol (sign) because it was divided by a negative numerical value (number);

r ≥ 22.

Now, let us evaluate another inequality:

54y + -8 ≥ -1

54y ≥ -1 + 8

54y ≥ 7

Dividing both sides of the inequality by 54, we have:

y ≥ 7/54

Therefore, we would not flip the inequality symbol (sign) because it was divided by a positive numerical value (number).

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Answer:

1/8n<3

Step-by-step explanation:

The letter "n" represents the number. Less than or equal to is represented by "<" but with a line under it.

Answer:

1/8n<3

Step-by-step explanation:

Answer:To test for divisibility, you look for answers that are whole numbers when you divide 59859 by either 2, 3, 5, 9, or 10.

To start divide it by each of them:

59859/2=29929.5

59859/3= 19953

59859/5= 11971.8

59859/9= 6651

59859/10= 5985.9

Now look at which of the choices are whole numbers

3 and 9 are the only non decimal numbers, therefore, C would be your answer.

Step-by-step explanation:

Answer:

A goes with #3

B goes with #6

C goes with #1

D goes with #4

E goes with #5

F goes with #2

G goes with #7

Step-by-step explanation:

A is "weak negative linear" because the correlation coefficient is close to 0 and is negative, showing a weak negative relationship between the independent and dependent variables.

B is "strong positive linear" because the correlation coefficient is close to 1 and is positive, showing a strong positive relationship between the independent and dependent variables.

C is "perfect positive linear" because the correlation coefficient is exactly 1 and is positive, showing a perfect positive relationship between the independent and dependent variables.

D is "moderate negative linear" because the correlation coefficient is between 0 and -1, showing a moderate negative relationship between the independent and dependent variables.

E is "strong negative linear" because the correlation coefficient is close to -1 and is negative, showing a strong negative relationship between the independent and dependent variables.

F is "no linear relationship" because the correlation coefficient is very close to 0, showing no linear relationship between the independent and dependent variables.

G is "perfect negative linear" because the correlation coefficient is exactly 1 and is negative, showing a perfect negative relationship between the independent and dependent variables.

H should be left out

Answer:

Step-by-step explanation:

A helicopter is hovering over a landing pad 100 meters from where you are ... If the string is stretched straight, how high is the kite above the ground?

The polynomials with graphs that intersect the x-axis at the origin are:

A polynomial is an expression form of an algebraic term with one or more terms and their arithmetic operations.

To select the graph that intersects with the x-axis at the origin. The graph must satisfy the condition at origin (0,0)

NOTE: The first two terms in the question does not satisfy the condition to be a polynomial since y is not expressed in terms of x

y = x(+1) (-2)

y = -2x

y = -2 (0)

y = 0           (This shows that x intersect at origin)

y = (2x + 2) (x-7) (x + 1 )

y = (2(0) +2) (0 -7) (0 + 1)

y = (2) (-7) (1)

y = -14          (This shows that y does not interesect with x at the origin)

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

y = 3(0) (2 -0) (0 + 6) ( 3 - 2)

y = 0 × (2) × (6) × (1)

y = 0                (This shows that x intersect at origin)

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Rounding up to the nearest whole number, we need at least 78 patients per group to detect a 10 mg/dl difference in cholesterol level with a power of 80% and an alpha level of 0.05.

To estimate the sample size necessary to detect a 10 mg/dl difference in cholesterol level between a diet intervention group and a control group with a standard deviation of 50 mg/dl, a power of 80%, and an alpha level of 0.05, we can use a formula:
n = [(Z_alpha/2 + Z_beta)^2 * (σ^2)] / (d^2)
where n is the sample size per group, Z_alpha/2 is the critical value of the standard normal distribution corresponding to an alpha level of 0.05/2 = 0.025 (which is 1.96), Z_beta is the critical value of the standard normal distribution corresponding to a power of 80% (which is 0.84), σ is the standard deviation (which is 50 mg/dl), and d is the difference in means that we want to detect (which is 10 mg/dl).
Substituting these values into the formula, we get:
n = [(1.96 + 0.84)^2 * (50)^2] / (10)^2
n = 77.4
Rounding up to the nearest whole number, we need at least 78 patients per group to detect a 10 mg/dl difference in cholesterol level with a power of 80% and an alpha level of 0.05.

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The time that it will take Joe to catch up with Mary is; 8 hours

We are told that;

Time Mary leaves the house = 12 pm

Time that Joe leaves the house = 2 pm

Speed of Mary = 45 mi/hr

Speed of Joe = 60 mi/hr

This means that Mary had a 2 hour time lead over Joe.

Thus;

Distance is calculated from the formula;

Distance = Speed * time

Thus;

Distance covered by Mary in the 2 hours lead is;

Distance = 45 * 2 = 90 miles

Thus, time that it will take Joe to catch up with mary is;

t = 2 + (90/(60 - 45))

t = 2 + 6

t = 8 hours

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The margin of error for the survey is 0.053.

To calculate the margin of error, we need to use the formula:

Margin of Error = Critical Value x Standard Error

We can start by finding the critical value using a z-table. For a 95% confidence interval, the critical value is 1.96.

Next, we need to calculate the standard error. The formula for the standard error of a proportion is:

Standard Error = \(\sqrt{(p*(1-p))/n}\)

where p is the sample proportion (0.372) and n is the sample size (500).

Standard Error = \(\sqrt{(0.372*(1-0.372))/500}\) = 0.027

Now that we have the critical value and the standard error, we can calculate the margin of error:

Margin of Error = 1.96 x 0.027 = 0.053

Therefore, the margin of error for the survey is 0.053 or approximately 5.3%. This means that we can be 95% confident that the true proportion of people who watched the Avalanche game in the entire state of Colorado is within 5.3% of the sample proportion of 37.2%.

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Answer:

508

Step-by-step explanation:

Answer:

Surface area = 508

Step-by-step explanation:

Width = 11

Length = 4

Height = 14

Equation:   2(lw+lh+wh)

2(4•11+4•14+11•14)   =  508

Answer: 3x=-3

Step-by-step explanation:

If the length of the room is 17 inches one the architect's plan, the actual length of the room in feet if the scale of the plan is 1.25 inches to 3 feet is

40.8 feet

The length of the room on the architect's plan = 17 inches

The scale of the plan = 1.25 inches to 3 feet

That means

The length on the plan/ The actual length = 1.25 inches / 3 feet

Substitute the value of the length on the plan in the equation

17 / The actual length = 1.25/3

The actual length of the room  = 17/0.42

= 40.8 feet

Hence, if the length of the room is 17 inches one the architect's plan, the actual length of the room in feet if the scale of the plan is 1.25 inches to 3 feet is 40.8 feet

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It would take approximately 6 minutes to travel through the thickest oceanic crust at a speed of 100 km/hr.

To determine the time it would take to travel through the thickest oceanic crust at a speed of 100 km/hr, we need to know the thickness of the oceanic crust.

The oceanic crust is the outermost layer of the ocean floor and is generally thinner than the continental crust. On average, the thickness of the oceanic crust ranges from 5 to 10 kilometers (km). However, the thickness can vary depending on the specific location and geological factors.

Assuming we consider the thickest part of the oceanic crust, which could be up to 10 km thick, we can calculate the time it would take to travel through it at a speed of 100 km/hr.

Using the formula Time = Distance / Speed, we can determine the time as follows:

Time = (Thickness of Oceanic Crust) / (Speed)

Time = 10 km / 100 km/hr = 0.1 hr

Converting 0.1 hour to minutes, we have:

Time = 0.1 hr * 60 min/hr = 6 minutes

The correct answer is D. 6 minutes. This calculation is based on the assumption that we are considering the thickest part of the oceanic crust, which is approximately 10 km thick. It's important to note that the actual thickness of the oceanic crust can vary, and the time required would depend on the specific thickness encountered during the journey.

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