What is the amperage capacity of a 240-v/24-v control transformer with a 40va rating?

Answer:

ab+c=d

ab=d-c

a=d-c/b

Answer:

\(a=\frac{d-c}{b}\)

Step-by-step explanation:

ab+c=d

in order to find the value of a subtracting c on both sides

ab+c-c=d-c

ab=d-c

dividing b on both sides

ab/b=(d-c)/b

\(a=\frac{d-c}{b}\) is the answer

i hope this will help you :)

Answer:

The Laplace transform of f(t) is (3/s^2) e^(-s) - (2/s) + (1/s^2).

Step-by-step explanation:

We use the definition of the Laplace transform:

L{f(t)} = ∫[0,∞) e^(-st) f(t) dt

For f(t) = t, 0 ≤ t < 1, we have:

L{t} = ∫[0,1] e^(-st) t dt

Integrating by parts with u = t and dv = e^(-st) dt, we get:

L{t} = [-t*e^(-st)/s] from 0 to 1 + (1/s) ∫[0,1] e^(-st) dt

L{t} = [-e^(-s)/s + 1/s] + (1/s^2) [-e^(-s) + 1]

L{t} = (1/s^2) - (e^(-s)/s) - (1/s) + (1/s^2) e^(-s)

For f(t) = 2-t, t ≥ 1, we have:

L{2-t} = ∫[1,∞) e^(-st) (2-t) dt

L{2-t} = (2/s) ∫[1,∞) e^(-st) dt - ∫[1,∞) e^(-st) t dt

L{2-t} = (2/s^2) e^(-s) - [e^(-st)/s^2] from 1 to ∞ - (1/s) ∫[1,∞) e^(-st) dt

L{2-t} = (2/s^2) e^(-s) - [(e^(-s))/s^2] + (1/s^3) e^(-s)

Combining the two Laplace transforms, we get:

L{f(t)} = L{t} + L{2-t}

L{f(t)} = (1/s^2) - (e^(-s)/s) - (1/s) + (1/s^2) e^(-s) + (2/s^2) e^(-s) - [(e^(-s))/s^2] + (1/s^3) e^(-s)

L{f(t)} = (3/s^2) e^(-s) - (2/s) + (1/s^2)

Therefore, the Laplace transform of f(t) is (3/s^2) e^(-s) - (2/s) + (1/s^2).

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Average There are 120 ways to choose the three positions so that at least one freshman and one sophomore is chosen.

There are a total of 4 possible combinations of freshman and sophomore for the three positions, with at least one of each:

1. Freshman President, Sophomore Vice-President, Sophomore Treasurer

2. Sophomore President, Freshman Vice-President, Sophomore Treasurer

3. Freshman President, Sophomore Vice-President, Freshman Treasurer

4. Sophomore President, Freshman Vice-President, Freshman Treasurer

For each of the four combinations, there are 10 possible ways to choose the specific freshmen and sophomores for the positions (5 freshmen and 5 sophomores). That means there are 40 possible ways to choose the three positions with at least one freshman and one sophomore. Multiplying this by the 3 possible orders of the positions (President-Vice-President-Treasurer, President-Treasurer-Vice-President, Vice-President-President-Treasurer) gives us a total of 120 possible ways to choose the three positions so that at least one freshman and one sophomore is chosen.

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Answer:

288 good ways

Step-by-step explanation:

:)

The difference between the largest 7-digit and the smallest 8-digit number is 1.

The aim is to find the largest 5-digit and the smallest 8-digit numbers, and then we need to determine the difference between these two values.

Let's start by finding the smallest 8-digit number.

We know that 0 is the smallest digit that can not be used in the highest place value, so we will consider the next smallest digit, 1; therefore, it can be used in the highest place value.

Thus, we can create the required 8-digit smallest number with 0 and 1.

Hence, the smallest 8-digit number is 10000000.

Now, we will discover the largest 7-digit number.

As we know, the largest digit is 9, which can be used anywhere. So, we will form the largest 7-digit number with the digit 9.

Thus, the largest 7-digit number is 9999999.

Now, find the difference between these two values.

So, we can determine the difference between the smallest 8-digit number and the largest 7-digit number by subtracting the smallest from the largest.

Thus, we get,

⇒10000000 - 9999999

⇒1

Hence, 1 is the difference between the smallest 8-digit and the largest 7-digit numbers.

--The given question is incomplete; the complete question is

"What is the difference between the largest 7-digit number and the smallest 8-digit number?"--

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Answer: The distance between these two points is 5.

Step-by-step explanation:

Yay! Love doing distance formula questions!

Okay, so first off, the distance formula goes as follows:

d = \(\sqrt(x^{2} - x^1)^2 + (y^{2}-y^1)^2\)

Basically you just plug in your coordinates to the formula.

Step 1:

\(\sqrt(-5 + 5)^{2} + (2-7)^{2}\)

Step 2: Distribute the exponent to both parenthesis to get \(\sqrt{25}\).

Step 3: Factor the number, which would result in \(\sqrt{5^2}\).

As a result of this, your answer would be 5.

Answer:

Step-by-step explanation:

discrete cos it's particular number

Answer:

f(g(8)) = 4

f(g(5)) = 9

g(f(2)) = 8

g(g(6)) = 3

Step-by-step explanation:

g for x = 8 is 4 and f for x = 4 is 4

g for x = 5 is 8 and f for x = 8 is 9

f for x = 2 is 5 and g for x = 5 is 8

g for x = 6 is 7 and g for x = 7 is 3

The matching for the function values are

g(g(6)) = 3

g(f(2)) = 8

f(g(8)) = 4

f(g(5)) = 9

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have two function as f and g.

So, the value of function from the table are

1. g(g(6))

= g(7)

= 3

2. g(f(2))

= g(5)

= 8

3. f(g(8))

= f(4)

= 4

4. f(g(5))

= f(8)

= 9

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Answer:

C

Step-by-step explanation:

The function sine of 'x' repeats its value after a full rotation of π radians. In degrees, that would be 180 degrees. On a unit circle, the sine is the y-component at any point along the circumference of the circle. In the first two quadrants, the y-component is the exact same until you exceed a rotation of 180 degrees. The degree of a circle is 360 degrees, therefore the answer would be C.

Answer:

110.45 inches cubed

Step-by-step explanation:

5in x 4.7in x 4.7in

42 is the answer to x3 y3 z3 K in sum of cubes problem.

In mathematics, completely by accident, there is a polynomial equation whose solution, 42, has similarly baffled mathematicians for decades. The "sum of cubes problem" refers to the equation x3+y3+z3=k.

The "sum of cubes problem" refers to the equation x3+y3+z3=k. The most brilliant mathematicians in the world have been baffled by a mathematical problem for decades. A Diophantine equation known as "summing of three cubes" is x3+y3+z3=k, where k is the sum of all the numbers between one and 100. ∴ 3xyz will be the necessary outcome.

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Answer: 2 5/6 I think.

Wait no. I just did the math and it would be 2 1/2

Answer:

Step-by-step explanation:

Its c

Using linear function to solve this problem, for every 1 gallon of gas, Francisco travelled 27.9 miles

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2. A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. where m is slope of the line and b is the y - intercept

We can use the data given in writing out our equation

390.6 = 14x

If 14 gallons = 390.6 miles

 1 gallon = x miles

x = 390.6 / 14

x = 27.9 miles

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To get this answer, we'll use the cosine ratio

cos(angle) = adjacent/hypotenuse

cos(A) = AC/AB

cos(35) = b/c

cos(35) = b/280

280*cos(35) = b

b = 280*cos(35)

b = 229.362572400918

b = 229

When you use your calculator, make sure it's in degree mode.

Answer:

10?

Step-by-step explanation:

There are 4 ways the rectangle can consist of 2 squares, 3 ways the rectangle can consist of 3 squares, 2 ways it can consist of 4 squares, and 1 way it can consist of 5.

4+3+2+1= 10. I could be wrong but I am pretty sure this is how you do it.

Answer:

12.35

Step-by-step explanation:

Just multiply

\(19\)

and

\(0.65\)

Because

Orginal Price x Sale Cost= Sale of the Price.

\(19 \times 0.65 = 12.35\)

False, each objective function line is unique and not necessarily parallel to every other objective function line in a problem.

In a multi-objective optimization problem, each objective function represents a different optimization criterion or goal. These objectives can have different slopes and directions, resulting in objective function lines that are not necessarily parallel to each other. The objectives may have conflicting or complementary relationships, leading to different trade-offs and possibilities in the optimization process. Therefore, it is incorrect to assume that all objective function lines are parallel in a problem.

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Hi, your answer will be 2.6 tons. Hope it helps.

Answer:

2.6 tons can be lifted by a rope with a diameter of 2 inches.

Step-by-step explanation:

2 = √39 / π

hope this helps you

The NPV of the CBCS project, using an 8% discount rate, is. \(\$21,646.77.\)

Financial value proposition of CBCS:

The financial value proposition of CBCS is based on several factors:

Increase in revenue due to the ability to perform more colonoscopies (80 more per year by faculty physicians and 10 more per year by fellows)

Improved patient experience leading to an increase in the number of patients choosing the health system (10 additional procedures per year)

Improved ability of fellows to reduce patient pain during their first 30 procedures, which can lead to better patient outcomes and reduced liability costs.

Identification of polyps that require surgical removal, resulting in additional revenue for the health system.

Overall, the financial return on CBCS is likely to come from a combination of increased revenue and cost savings resulting from improved patient outcomes and reduced liability costs.

Financial analysis in Excel:

Please see attached Excel file for the financial analysis.

IRR calculation:

The IRR of the CBCS project is 23.2%.

Payback period calculation:

The payback period of the CBCS project is 2.6 years.

CBCS project is 2.6 years.

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a) The coefficient of determination, \(R^2\), in the regression of Y on X is equal to the squared value of the sample correlation between X and Y, i.e., \(R^2 = rXY^2\).  b) The \(R^2\) from the regression of Y on X is the same as the \(R^2\) from the regression of X on Y.  c) The slope coefficient, b1, in the regression of Y on X is equal to the product of the sample correlation coefficient, rXY, and the ratio of the sample standard deviation of Y, Sy, to the sample standard deviation of X, Sx, i.e., b1 = rXY  (Sy / Sx).

a) The coefficient of determination, denoted as \(R^2\), in the regression of Y on X is equal to the squared value of the sample correlation between X and Y. Mathematically, \(R^2 = rXY^2.\)

To prove this, we start with the definition of \(R^2\):

R^2 = SSReg / SSTotal

where SSReg is the regression sum of squares and SSTotal is the total sum of squares.

In simple linear regression, SSReg = b1^2 * SSX, where b1 is the slope coefficient and SSX is the sum of squares of X.

SSTotal can be expressed as SSTotal = SSY - SSRes, where SSY is the sum of squares of Y and SSRes is the sum of squares of residuals.

Since the regression equation is Y = b0 + b1X, we can substitute Y = b0 + b1X into the equation for SSY, giving SSY = SSReg + SSRes.

By substituting these expressions into the equation for R^2, we get:

\(R^2 = (b1^2 SSX) / (SSReg + SSRes)\)

\(= (b1^2 SSX) / SSY\)

\(= rXY^2\)

Therefore, R^2 is indeed equal to the squared value of the sample correlation between X and Y.

b) The R^2 from the regression of Y on X is the same as the R^2 from the regression of X on Y. This is because the correlation coefficient is the same regardless of which variable is considered the dependent variable and which is considered the independent variable.

c) The slope coefficient, b1, in the regression of Y on X is equal to the product of the sample correlation coefficient, rXY, and the ratio of the sample standard deviation of Y, Sy, to the sample standard deviation of X, Sx. Mathematically, b1 = rXY  (Sy / Sx).

To prove this, we start with the formula for the slope coefficient in simple linear regression:

b1 = rXY  (Sy / Sx)

By substituting the definitions of rXY, Sy, and Sx, we have:

b1 = rXY  (sqrt(SSY) / sqrt(SSX))

= rXY  sqrt(SSY / SSX)

= rXY  sqrt(SSY / (n-1) Var(X))

= rXY sqrt(Var(Y) / Var(X))

= rXY  (Sy / Sx)

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Answer:

I think the answer is P(x>178)

Step-by-step explanation:

Answer: 0.16

Step-by-step explanation: Quizzed

Answer:

8-1/4 miles/ hour.

Step-by-step explanation:

11/4 (miles) ÷ 1/3 (hour). When you divide a number by a fraction use (Keep-Change-Flip).11/4 × 3/1 = 33/4 miles/hour. Convert improper fraction to mixed number by dividing 33 by 4.33/4 = 8-1/4 miles/ hour.

Answer:

D.5

Step-by-step explanation:

4*5=20

8*5=40

12*5=60

..etc

brainliest?

Answer:

2(x - 5)(x + 4)

Step-by-step explanation:

Given

- 40 + 2x² - 2x , that is

2x² - 2x - 40 ← factor out 2 from each term

= 2(x² - x - 20) ← factorise the quadratic

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 1)

The factors are - 5 and + 4 , since

- 5 × 4 = - 20 and - 5 + 4 = - 1 , then

x² - x - 20 = (x - 5)(x + 4) and

2x² - 2x - 40 = 2(x - 5)(x + 4) ← in factored form

Answer:

Rate of change: +2 for x values and +20 for y values

Missing x values:6

Missing y values:60,80,100

Answer:

y=-9/10x+8/5

Step-by-step explanation:

(-6,7) and (4,-2)

Use rise over run to solve for the slope:

(y1-y2)/(x1-x2)

(7- -2)/(-6-4)

(7+2)/(-6-4)

9/-10

-9/10 Move negative sign to make it easier to read

Now you have y=-9/10x+b

Plug in the values from either of the two points to solve for b:

(4,-2)

-2=-9/10 (4)+b

-2=-36/10+b

-2= -18/5 +b

-2+18/5=b

-10/5 +18/5=b

8/5=b

y=-9/10x+8/5

Answer:

Ist container = 4.8

2nd container 2.4

Step-by-step explanation:

Answer:

1. $27.84

Step-by-step explanation:

Question 1

Trail mix is 2.32 pounds and it costs 3.50 dollars per pound. Hence the total cost for Trail mix is 2.32 X 3.50= $ 8.12

He bought twice as many ponds of dried fruit.....2.32 X 2 = 4.64 pounds

the cost of dried fruit will be 4.64 X $ 4.25 = $19.72

The total cost is therefore $8.12 + $19.72 = $27.84

Question 2

Yes, she bought enough dried nuts and mixed fruits for the party.

a. You identify the things she bought

b. You find out whether the money she paid was enough for the quantity she was to buy

c. You now calculate to see if it was enough. that is

she wants a total of 6 pounds of dried fruit and mixed nuts.

she pays $21.60 for mixed nuts and and it is sold at $6.75 per pound

21.6÷ 6.75 = 3.2 pounds of mixed nuts

she pays $11.90 for dried fruit and it is sold at $4.25 per pound

$11.90÷$4.25 = 2.8 pounds

when we add the total quantity of items she bought: 3.2 + 2.8 = 6 pounds. thus she bought enough.

The correct answer is D) m = -√3/2. To find the slope of the given curve at the point (x, y), we need to take the derivative of the curve with respect to x and evaluate it at the given point.

The equation of the curve is x = cos(y), and we want to find the slope at the point (x, y) = (-π/3). Taking the derivative of x = cos(y) with respect to x, we get: dx/dy = -sin(y) * dy/dx. To find the slope at the point (-π/3), we substitute y = -π/3 into the derivative expression: dx/dy = -sin(-π/3) * dy/dx = -(-√3/2) * dy/dx = √3/2 * dy/dx.

Therefore, the slope of the curve at the point (-π/3) is √3/2. Hence, the correct answer is D) m = -√3/2.

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Answer:7

Step-by-step explanation:

3-1= 2

5+2=7