Two math teachers come together and write math problems about fruit vendors. If Teacher A can write 50 problems in 60 minutes and Teacher B can write 50 problems in 80 minutes, how long would it take them to write 50 problems if they worked together?

Answer:

Step-by-step explanation:

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

okay so look at the image down below

The hash of the given message is 135.

In computing, a message digest is a fixed-sized string of bytes that represents the original data's cryptographic hash. This hash is used to authenticate a message, guaranteeing the integrity of the data in the message.

Here, it is given the message m = 23  

The formula to calculate hash is him) - (m*7;2 MOD 7793.

So, let's calculate the hash : him) - (m*7;2 MOD 7793(him) - (23*7;2 MOD 7793

⇒ (8*23) - (49 MOD 7793)

⇒ 184 - 49= 135.

So, the hash of the given message is 135.

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Answer:

 6z ^ 4-4 is a factor

Step-by-step explanation:

Given data

6z ^ 4 - 4 + 9(y ^ 3 + 3)

open bracket

6z ^ 4 - 4 + 9y ^ 3 + 27

collect like terms

6z ^ 4+9y^3 - 4 +27

6z ^ 4+9y^3 - 23

From the above expression  6z ^ 4-4

Answer:

its a.

(y^3+3)

Step-by-step explanation:

common sense

Answer:

3.94*10^7

Step-by-step explanation:

Answer:

3.94 * 10^7

Step-by-step explanation:

:]

The statement "The Taylor series centered at 0 (aka MacLaurin Series) for f(x) = \(x^{11}\) sin x has only even powers of x" is false.

The Taylor series centered at 0 (or MacLaurin series) for the function f(x) = \(x^{11}\) sin(x) includes terms with both even and odd powers of x. The general form of the Taylor series for this function is:

f(x) = f(0) + f'(0)x + f''(0)\(x^{2}\)/2! + f'''(0)\(x^{3}\)/3! + ...

The derivative of f(x) = \(x^{11}\) sin(x) involves both the derivative of \(x^{11}\) (which has only even powers) and the derivative of sin(x) (which has both even and odd powers). Therefore, when the Taylor series is expanded, terms with both even and odd powers of x will be present.

Hence, the statement is false.

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Applying the midpoint formula, the coordinates of the other endpoint are: (-9, -13).

The midpoint formula, which can be used in determining the coordinates of the midpoint between two endpoints is usually expressed as: M[(x1 + x2)/2, (y1 + y2)/2].

Given the following coordinates:

Midpoint of GH --> m(-13/2,-6) = (x, y)

One endpoint ---> G(-4, 1) = (x1, y1)

The other endpoint ---> (x2, y2)

Plug in the values into the formula used in calculating the midpoint:

m(-13/2,-6) = [(-4 + x2)/2, (1 + y2)/2]

Solve for x2

-13/2 = (-4 + x2)/2

-13/2 × 2 = -4 + x2

-13 = -4 + x2

-13 + 4 = x2

-9 = x2

x2 = -9

Solve for y2

-6 = (1 + y2)/2

2(-6) = 1 + y2

-12 = 1 + y2

-12 - 1 = y2

-13 = y2

y2 = -13

Thus, using the midpoint formula, the coordinates of the other endpoint are: (-9, -13).

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Step-by-step explanation:

Another name of zy is line s

Answer:

Critical point

Step-by-step explanation: A critical point of a function y = f (x) is a point (c, f (c)) on the graph of f (x) at which either the derivative is 0 (or) the derivative is not defined. But how is a critical point related to the derivative? We know that the slope of a tangent line of y = f (x) at a point is nothing but the derivative f' (x) at that point.

Answer: 14 cm

Step-by-step explanation:

Answer:

R=14 cm

total area= πr²

=22/7*196=616 cm²

r2= 3.5 cm

area of the small circles= 2*πr²=2*12.25*22/7=77 cm²

length of rectangle=3

breadth=1

area =lb=3 cm²

area of the small circles+area of rectangle=77+3=80 cm²

remaining area=616-80=536 cm²

Answer:

The specific surface area of soil and soil constituents can range from less than 0.1 m 2 g −1 (1 × 10 2 m 2 kg −1 ) for coarse sands to more than 800 m 2 g −1 (8 × 10 5 m 2 kg −1 ) for expandable clay minerals such as montmorillonite

Answer:

8x + 5y

Step-by-step explanation:

Answer:

8x + 5y

Step-by-step explanation:

Just answered the question on edge

A 60,000 cubic millimeter box contains rubber balls with a radius of 15 millimeters. A maximum of 4 balls will fit in rubber box.

For finding the maximum number of rubber balls, firstly we will need the volume of the box. We have been given that the volume of the box is 60,000 mm³.

Now, we will find the volume of the rubber balls which have to be fit in the box. We know that the radius of one ball is 15 mm.

Volume of ball = 4/3 πr³

= 4/3 × 22/7 × 15³

= 4/3 × 22/7 × 3375

= 99,000/7

To find the maximum number of balls, we will divide the volume of box by volume of sphere.

Maximum number of balls = volume of box / volume of balls

= 60,000 / (99,000 / 7)

= (60,000 × 7) / 99,000

= 420 / 99

= 4.24

So, rounding up maximum 4 balls can be fit into the box.

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Correct question:

Rubber balls with a radius of 15 millimeters are stored in a 60,000 cubic millimeter box. What is the maximum number of rubber balls that will fit in the box?

The time taken for the tub to empty is approximately 9.18 minutes.

Suppose the drain is opened on a tub containing 34 gallons of water.

Water drains out of the bathtub at a rate of 4 gallons per minute.

However, the tap wasn't closed properly, so water is still flowing into the tub at a rate of 0.3 gallons per minute. How many minutes will it take for the tub to empty.

Solution:

We are given:

Initial quantity of water = 34 gallons.

Water flowing out of the tub = 4 gallons/minute.

Water flowing in to the tub = 0.3 gallons/minute

We need to find: Time taken for the tub to empty.

Let us assume that the time taken for the tub to empty is t minutes.

Now, the water that is still present in the tub is (34 - 4t + 0.3t) gallons.

Let us set this expression equal to zero to find the time taken for the tub to empty.

34 - 4t + 0.3t = 0

Simplifying, 34 - 3.7t = 0 or 3.7t = 34 or t = 34/3.7t ≈ 9.18.

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The inverse Laplace transform of 1/(s^2 + 64) is found using partial fraction decomposition and the table of Laplace transforms. By applying Theorem 7.2.1, the inverse Laplace transform is determined to be 0.

To find the inverse Laplace transform of 1/(s^2 + 64), we can use partial fraction decomposition and the table of Laplace transforms.

First, let's factor the denominator:

s^2 + 64 = (s + 8i)(s - 8i)

The roots of the denominator are s = -8i and s = 8i. Since the roots are complex, we can write the partial fraction decomposition as:

1/(s^2 + 64) = A/(s + 8i) + B/(s - 8i)

To find the values of A and B, we can multiply both sides of the equation by (s + 8i)(s - 8i) and substitute the roots:

1 = A(s - 8i) + B(s + 8i)

Now, we can solve for A and B. Let's substitute s = -8i:

1 = A(-8i - 8i) + B(-8i + 8i)

1 = A(-16i) + B(0)

1 = -16Ai

From this equation, we can see that A = -1/(16i) = i/16.

Next, let's substitute s = 8i:

1 = A(8i - 8i) + B(8i + 8i)

1 = B(16i)

1 = 16Bi

From this equation, we can see that B = 1/(16i) = -i/16.

Therefore, the partial fraction decomposition is:

1/(s^2 + 64) = (i/16)/(s + 8i) - (i/16)/(s - 8i)

Now, using Theorem 7.2.1 from Laplace transform table:

L^-1{(i/16)/(s + 8i)} = (1/16)sin(8t)

L^-1{-(i/16)/(s - 8i)} = -(1/16)sin(8t)

Putting it all together, the inverse Laplace transform of 1/(s^2 + 64) is:

L^-1{1/(s^2 + 64)} = (1/16)sin(8t) - (1/16)sin(8t) = 0

Therefore, the inverse Laplace transform of 1/(s^2 + 64) is 0.

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The correct answer is option b. The Standard Deviation is the measure of variability that is most commonly used when reporting the mean, because it provides a good indication of how much the individual data points vary from the mean.

The mean of your dataset must first be determined before you can calculate the standard deviation. If you know the mean, you can use the formula below to determine the standard deviation:

1. Determine how much each data point differs from the mean.

2. Rectangle the discrepancies.

3. Total the disparities that have been squared.

4. Subtract the total number of data points from the sum of the squared differences.

5. Determine the result's square root.

This calculation yields the Standard Deviation, which shows how widely the individual data points deviate from the mean.

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Answer:

Any value over 12

Here are some examples: 13, 14, 15, 20, 25, 40, 100, 123, 2930

Step-by-step explanation:

You can use the hypotenuse formula, e.g., from the Pythagorean theorem calculator, to estimate the diagonal of a rectangle, which can be expressed with the following formula: d² = l² + w², and now you should know how to find the diagonal of a rectangle explicit formula - just take a square root: d = √ (l² + w²).

-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

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Answer:

Step-by-step explanation:

every time x goes up 1,  y goes up 4  

x = 3  minus x = 2  is a delta (a change of 1)

x = 4  minus x = 3  is a delta (a change of 1)

x = 5  minus x = 4  is a delta (a change of 1)

       the delta x is ALWAYS 1 for this table you can always substract x's to find the delta     delta is symbolized by Δ      Δx  for the delta x

y = 7  minus y = 3  is a delta (a change of 4)

y = 11  minus y = 7  is a delta (a change of 4)

y = 15  minus y = 11  is a delta (a change of 4)

    the delta y is ALWAYS 4 for this table you can always substract y's to find the delta     delta is symbolized by Δ     Δy  for the delta y

the slope m = Δy / Δx      m = 4 / 1     m = 4

     y = mx + b             when x = 0    then  y = b   (called the y intercept)

so how do we find the y intercept?    

look at the pattern in the TABLE  Δx  and Δy

   when x = 1    y = (3 - 4)  = -1

             x = 0    y =( -1 - 4)   = -5

so       y = 4x - 5     is a line equation for the data in this table

                                I believe there are other forms for linear equations

                               I chose the y-intercept form

use the point slope equation

       (y - y1)  =  m(x - x1)            where (x1, y1)  are the coordinates of a point on  

                                                the line

       when you know the slope of the line and a point on the line

       as before

       m = (y2 - y1)  / (x2 - x1)          from the table

           = (7 - 3) / (3 - 2)                 still equals

           = 4/1  =  4        

        pick a point on the line    say x= 4 and y = 11    (4, 11)

       (y - y1)  =  m(x - x1)    

        y - 11   =   4(x - 4)              point slope form

         solving point slope form  for  y

        y  - 11  =   4x - 16               add 11 to both sides    

           y  =  4x - 5                    back to the y-intercept form

The surface area of the rectangular prism figure is S = 838 cm²

Given data ,

The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism

Surface Area of the prism = 2B + ph

So, the value of S is given by

The heights of the prism is represented as 7cm.

S = ( 11 x 20 ) + ( 7 x 20 ) + ( 4 x 20 ) + 2( 5 x 7 ) + 2( 6 x 4 ) + ( 6 x 20 ) + ( 5 x 20 ) + ( 3 x 20 )

On simplifying the equation , we get

S = 220 + 140 + 80 + 70 + 48 + 120 + 100 + 60

S = 838 cm²

Therefore , the value of S is 838 cm²

Hence , the surface area is S = 838 cm²

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Answer:

GAS

Step-by-step explanation:

Because gas is air out of the object

Answer: The answer is C) Gas.

Step-by-step explanation: I hope this helps,

Have a wonderful day!

I took the test .

Answer:

B

Step-by-step explanation:

Given

f(x) = \(\frac{1}{x+2}\)

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

x + 2 = 0 ⇒ x = - 2

The equation of the vertical asymptote is x = - 2

The value of C is 95. This is because the 95% confidence interval  for the proportion of all residents in the city who approve of the mayor's job performance is 0.565 to 0.695.

To calculate the confidence interval, the formula is used:

CI = p +/- Z * √(p(1-p)/n)

Where p is the proportion of all residents in the city who approve of the mayor's job performance from the sample, Z is the critical value, and n is the sample size.

In this case, p = 0.63, n = 100, and Z is the critical value associated with a 95% confidence interval, which is 1.96.

Plugging these values into the formula, we get:

CI = 0.63 +/- 1.96 * √(0.63(1-0.63)/100)

This yields a confidence interval of 0.565 to 0.695, so the value of C is 95.

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Answer:

Step-by-step explanation:

we can say the angle is also +45° going in the clock wise direction.  so take Tan(45)= 1

Cot(45) = 1

b/c  Tan(45) = Sin(45) /Cos(45) = (\(\sqrt{2}\)/2) / (\(\sqrt{2}\)/2)   ofc that's just 1

b/c Cot(45) = Cos(45) / Sin(45) , which is the same as above 1

To find the distance that the Earth travels in slx days in its path around the sun, we need to calculate the circumference of the circular path followed by the Earth.

Given:

Radius of the Earth's path around the sun = 93 million miles

Number of days = slx (slx is not defined, so let's assume it means 365)

The circumference of a circle is given by the formula:

Circumference = 2πr

Substituting the radius value, we have:

Circumference = 2π * 93 million miles

To calculate the distance traveled by the Earth in slx days, we multiply the circumference by the fraction of slx days out of a year (365 days).

Distance traveled = (Circumference / 365) * slx

Calculating the distance traveled:

Distance traveled = (2π * 93 million miles / 365) * slx

Now, we can evaluate this expression using the given values.

Please provide the value of slx (365 or any other value) to proceed with the calculation.

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In Chapter 6, Problem 10P, the constraints are derived based on the given problem scenario and the objective of the optimization problem. Without specific details about Problem 10P in Chapter 6, it is challenging to provide a precise explanation.

However, I can provide a general understanding of how constraints are typically formulated in optimization problems. In optimization problems, constraints are used to represent the limitations or restrictions on the decision variables. These constraints can arise from various sources, such as physical constraints, resource constraints, budget constraints, or technical constraints. To derive the constraints, you need to carefully analyze the problem statement and identify the conditions or limitations that must be satisfied. These conditions are then translated into mathematical inequalities or equations that relate the decision variables. For example, if the problem involves allocating limited resources among different activities, the constraints would represent the availability of those resources and ensure that the total allocation does not exceed the available amount. Similarly, if the problem involves production planning, constraints might include demand requirements, capacity limitations, or inventory constraints. In general, the process of formulating constraints requires careful consideration of the problem's requirements, objectives, and limitations. It often involves translating real-world constraints into mathematical expressions to create a well-defined optimization problem that can be solved using appropriate techniques.

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(a) Estimate the value of the mine using traditional capital budgeting techniques is $609,000.0. (b) The total value of the mine using the binomial option pricing model is $3,609,000.0. (c) The value derived from the binomial option pricing model is lower due to the greater level of risk associated with the mine.

a. Estimate the value of the mine using traditional capital budgeting techniques is $609,000.0.

b. Estimate the value of the mine based upon an option pricing model.

Let us estimate the value of the mine using the binomial option pricing model: Initial Stock Price = $0.85

Strike Price = $0.40

u = 1.25d = 0.80

Rf = 7%

Time to expiration = 25 years

Number of time periods = 25

Size of time period = 1 year

25th-Step Terminal Stock Price = $6.75

There are 26,830 possible terminal stock price paths.

Average terminal stock price = $8.24 (2,134 paths)26,830-$0.0000 (25,389)$0.0117 (825)$0.0260 (126)$0.0443 (45)$0.0668 (24)$0.0935 (11)$0.1243 (4)$0.1591 (1)$0.1980 (1)

Average = $0.0609

The option value is therefore $0.0609*10,000,000 = $609,000.0

The total value of the mine using the binomial option pricing model is $3,609,000.0.

c. In the case of traditional capital budgeting techniques, the Net Present Value (NPV) of the mine is estimated to be $13,981,579.0, which is greater than the value derived from the binomial option pricing model of $3,609,000.0. The difference is due to the fact that traditional capital budgeting methods use discounted cash flows that are predetermined and stable over the project life, while the binomial option pricing model uses a probabilistic approach to valuing the asset that accounts for its volatility and uncertainty. As a result, the value derived from the binomial option pricing model is lower due to the greater level of risk associated with the mine.

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Answer:

-36uw

132b

hjk

-abc

Step-by-step explanation:

When you multiply a negative by another negative, the negative is cancelled out.  When you multiply a negative by a positive, the negative is kept.

1.) -9u(-4)(-w)

36u(-w)

-36uw

2.) -b(-12)(11)

12b(11)

132b

3.) -h(-jk)

hjk

4.) -1(-a)(-bc)

1a(-bc)

-1abc

-abc

Hope this helps! :)

Answer:

plz give brainliest

Step-by-step explanation:

Points A, B, and C lie on a line.

Point A is between points B and C.

Starting at point A and going past point B, you have ray AB.

Starting at point A and going past point C, you have ray AC.

If you think of angle BAC, it is a straight angle of 180 degrees.

You have the two rays AB and AC forming a line and an angle.

Answer:

Step-by-step explanation:

(2x² - 3x  + 1 )(x - 3) = (2x² - 3x + 1)*x + (2x² - 3x + 1)*(-3)

                               = 2x²*x - 3x*x  + 1*x + 2x²*(-3) - 3x*(-3) + 1*(-3)

                               = 2x³ - 3x² + x -  6x² + 9x - 3

                               = 2x³ - 3x² - 6x² + x + 9x - 3 {Combine like terms}

                              = 2x³ - 9x² + 10x - 3