a. 1/2 cm per hour
b. 1 cm per hour
c. 2 cm per hour
d. 4 cm per hour

Answer:

not too sure

Step-by-step explanation:

think it's 35 though

Answer:

31p+13

Step-by-step explanation:

After expanding: 21p+28+10p-15

After simplifying: 31p+13

Therefore, the probability that a randomly selected passenger has a wait time greater than 3.25 minutes is approximately 0.6389 or 63.89%.

To find the probability that a randomly selected passenger has a wait time greater than 3.25 minutes, we need to calculate the proportion of the uniform distribution that lies above 3.25 minutes.

The uniform distribution is defined on the interval [0, 9] minutes. Since the distribution is uniform, the probability density function (PDF) is constant over the interval and equal to 1/9.

To find the probability, we need to calculate the area under the PDF curve from 3.25 to 9.

The total area under the PDF curve is equal to 1 since it represents the entire probability space.

The area from 0 to 3.25 represents the probability that a randomly selected passenger has a wait time less than or equal to 3.25 minutes. This area can be calculated as (3.25/9) = 0.3611.

Since the total area is 1, the remaining area (above 3.25) is 1 - 0.3611 = 0.6389.

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In simple harmonic motion, the number of cycles per second of a point is its frequency. Here's a step-by-step explanation:

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The amount of tea the camel drinks every 2 days is 350 Liters

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The total number of days = 6 days

The amount of tea , Ben , the camel drinks every 6 days = 1050 Liters

Now , the equation will be

The amount of tea the camel drinks every day =
The amount of tea the camel drinks every 6 days / total number of days

The amount of tea the camel drinks every day = 1050 / 6

                                                                              = 175 Liters

So , the equation is

The amount of tea the camel drinks every 2 days =
amount of tea the camel drinks every day x 2

The amount of tea the camel drinks every 2 days = 175 x 2 Liters

                                                                                   = 350 Liters

Hence , The amount of tea the camel drinks every 2 days is 350 Liters

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Answer:

63

Step-by-step explanation:

if 2 inches = 7 feet and the model plane is 1.5 feet, and that is 18 inches 18/2*7=63

1 inch is =12.

We can extend our definition of the average value over a continuous function to an infinite interval by defining the average value f on the interval [0, ∞) to be      \(\lim_{t \to \infty}\frac{1}{t-a}\int\limits^t_a {f(x)\\} \, dx\)  .

The definition of the average value of a continuous function f(x) can be expanded to include the infinitely long interval [a,∞] as follows:

\(\lim_{t \to \infty}\frac{1}{t-a}\int\limits^t_a {f(x)\\} \, dx\)

Let's assume that f(x) is any continuous function. Assume that the integral \(\int\limits^i_0 {f(x)} \, dx\)   is divergent and that f(x)≥0 in the range [a,∞].

Show that, if this limit exists, \(f_{ave} = \lim_{x \to \infty} f(x)\) .

Hence, We can extend our definition of the average value over a continuous function to an infinite interval by defining the average value f on the interval [0, ∞) to be      \(\lim_{t \to \infty}\frac{1}{t-a}\int\limits^t_a {f(x)\\} \, dx\)  .

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11/21 as a decimal rounded to the nearest tenth is 0.5. Below, you will learn how to solve the problem.

To convert the fraction 11/21 to a decimal rounded to the nearest tenth, we can follow these steps:

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Answer:

Y intersect and X intersect

The piecewise function can be defined as, f(x) = x+3, if x<0 and f(x) =3, if  x≥0, Option B is correct.

A relation is a function if it has only One y-value for each x-value. Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

From the given figure it is easily noticed that the function is increasing in nature for x<0 and the function is constant in nature for x>0 because the value of y remains unchanged for any value of x, where x≥0

The value of function is 3 at x=0.

The value of the function is always 3 for all x≥0 .

f(x)=3 for x≥0

The function is a straight line with intercepts (-3,0) and (0,3).

slope = 3-0/0+3

         =1

Let us find the y intercept

0=1(-3)+b

b=3

Now equation is y=x+3

For x<0, the function is,

f(x)=x+3

Therefore the piecewise function can be defined as, f(x) = x+3, if x<0 and f(x) =3, if  x≥0.

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To find the slope of thine that passes through these points, use the slope formula. It can be read as “slope equals the second y-coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate.”

So we have \(\frac{-4 - 5}{-3 - 2}\) and this simplifies to -9/-5 or 9/5.

Remember, a negative divided by a negative is a positive.

The given expression is

\(15 + c = 17.50\)

We can use this expression to model the cost for a service.

Let's say that your gardener charges an initial amount of $15, and an additional per hour. If the gardener worked only for one hour, and the total cost charged was $17.50, how much was the additional cost?

So, the given expression models this real life situation, we can answer the problem by just solving the equation for \(c\)

\(15 + c = 17.50\)

\(c=17.50-15\)

\(c=2.50\)

Answer: Well C equals 2.5. You could use...

You have 3 sticks. one stick is 15 inches long and the other is 17.50. You want to get a small stick to add to the first one so that the first and last stick is equal to the 2nd stick.  C is the third stick.  15+C = 17.50. What is the length of C?

Step-by-step explanation:

EASY

Move all terms not containing C to the right side of the equation. C = 2.5

Step-by-step explanation:

2x+98=180° (angles in straight line )

2x=180-98

x=2/2

x=1

Answer:

x = 41

Step-by-step explanation:

the 2 angles are adjacent and sum to 180° , that is

2x + 98 = 180 ( subtract 98 from both sides )

2x = 82 ( divide both sides by 2 )

x = 41

Answer:

y = 5  or  y = 0x + 5 (they're both the same)

Step-by-step explanation:

y = mx + b

y = 0x + b

5 = 0(-4) + b

5 = 0 + b

b = 5

y = 5  or  y = 0x + 5 (they're both the same)

Step-by-step explanation:

an undefined slope is y/0.

not 0/x.

remember, the slope is the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

so, if x never changes, we get the undefined slope.

that means it is a vertical line through a point x on the x-axis, and it represents all points for which x = that constant value.

now, we look at our given point, its x-coordinate is -4.

so, the equation of the line is

x = -4

Answer:

128 (character filter filler here)

Step-by-step explanation:

64+8^2 is 128

Answer:

a

Step-by-step explanation:

The level of Q that will yield the maximum net benefits is 4.92, and the maximum level of benefits is 96.

To find the level of Q that maximizes net benefits, we need to calculate the difference between the total benefits (B(Q)) and the total costs (C(Q)). In this case, the net benefits (NB) can be represented as NB(Q) = B(Q) - C(Q).Given B(Q) = 40Q - 2\(Q^2\) and C(Q) = 4 + 2\(Q^2\), we can substitute these expressions into the net benefits equation:
NB(Q) = (40Q - 2\(Q^2\)) - (4 + 2\(Q^2\))
Simplifying, we get:
NB(Q) = 40Q - 2\(Q^2\) - 4 - 2\(Q^2\)
NB(Q) = -4\(Q^2\) + 40Q - 4
To find the level of Q that maximizes net benefits, we need to find the value of Q that maximizes NB(Q). This can be done by finding the maximum point of the quadratic function. In this case, the maximum point occurs at the vertex of the quadratic.
The formula for the x-coordinate of the vertex of a quadratic function of the form a\(x^2\) + bx + c is given by x = -b / (2a). In our case, a = -4 and b = 40.

Calculating the x-coordinate of the vertex:
Q = -40 / (2 * -4)
Q = 40 / 8
Q = 5
Therefore, the level of Q that yields the maximum net benefits is Q = 5. Plugging this value back into the net benefits equation, we can calculate the maximum level of benefits:
NB(5) = -4\((5)^2\) + 40(5) - 4
NB(5) = -4(25) + 200 - 4
NB(5) = -100 + 200 - 4
NB(5) = 96
Hence, the maximum level of benefits is 96.

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Answer:

x = 8/6 or 1 1/3

Step-by-step explanation:

Step 1:

19 + x = 7x + 11           Equation

Step 2:

19 = 6x + 11       Subtract x on both sides

Step 3:

8 = 6x         Subtract 11 on both sides

Step 4:

x = 8 ÷ 6       Divide

Answer:

x = 8/6 or 1 1/3

Hope This Helps :)

Answer:

27 1/2 cm^2

Step-by-step explanation:

The area of a parallelogram is

A = bh

A = 5 * 5 1/2

Change to an improper fraction

A = 5 * (2*5+1)/2

A = 5*11/2

A = 55/2

Change back to a mixed number

A = 27 1/2

Answer:

just look at the picture

Step-by-step explanation:

Answer:

You can do it on a graphing calculator.

Step-by-step explanation:

I can't put a link on here, but I put an image for the link to an online graphing calculator.

Also, here is the picture of the graph.

Answer:

33

Step-by-step explanation:

33 is positive and greater than negative

Answer: A C D

Step-by-step explanation:

Answer:

Unicorn A is 300 years old

Unicorn B is 20 years old

Explanation:

15x + x = 320

16x = 320

x = 20

15 * 20 + 20 = 320

We have that Each unicorn is 20 ans 300 years receptively

\(A=300\\\\B=20\)

From the Question we are told that

UNICORN A IS 15 TIMES OLDER THAN  UNICORN B.

THE SUM OF THEIR AGES  IS 320 YEARS.

Let

x=age of unicorn A

y=age of unicorn B

Therefore

\(x=15y....1\\\\\x+y=320.....2\)

Sub (1) into 2

\((15y)+y=320\\\\y=20\)

therefore

\(x=15(20)\\\\x=300\)

In conclusion

Each unicorn is 20 ans 300 years receptively

\(A=300\\\\B=20\)

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Answer:

1/6

Step-by-step explanation:

The equation y = 4 represents a horizontal line with a slope of 0 and a y-intercept of 4. The y-value remains constant at 4 regardless of the x-value.

In the equation y = 4, the slope (m) indicates the rate of change of the y-coordinate with respect to the x-coordinate. Since the equation has no x-term, the rate of change is zero, resulting in a slope of 0. This means that for every change in the x-coordinate, the y-coordinate remains constant at 4. The graph of this equation would be a horizontal line parallel to the x-axis.

The y-intercept (b) represents the point where the graph intersects the y-axis. In this case, the y-intercept is 4, indicating that the line crosses the y-axis at the point (0, 4). This means that when x is zero, the corresponding y-value is 4.

The equation y = 4 represents a constant function where the y-value remains fixed at 4 regardless of the value of x. The slope of 0 indicates a horizontal line, while the y-intercept of 4 represents the initial value of the function.

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Transformation involves changing the position of a shape through translation, dilation, rotation and reflection.Marcus's claim is correct.

A process by which one figure, expression, or function is converted into another one of similar value.

The triangles are given as: ΔTSR and ΔUSV

By comparison, we can see that point S is on both triangles, and this point on both triangles corresponds.

So, to map ΔTSR to ΔUSV, then ΔTSR must be rotated about point S to ΔUSV or rotate ΔUSV about point S to ΔTSR.

Hence, Marcus is correct, and Sam is not.

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Answer:

A. Marcus is correct.

Credits to the guy above! :))

Answer:

D) (1,1)

Step-by-step explanation:

You can find the solution by plugging the x-value of each coordinate into the equation. It will be a solution if the y-value of the equation equals the y-value of the coordinate.

For example:

y = 3x -2

y = 3(1) - 2

y = 3-2

y = 1

1 = 1

(1, 1) are the coordinates that are on the given line.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given a equation y = 3x -2

To find which coordinates will satisfy the equation:

For coordinates (2, 0)

at x = 2, y should be zero

y = 3 * 2 -2

y = 4

Not satisfied

For coordinates(-3, 0)

at x = -3, y should be 0

y = 3 * -3 - 2

y = -9 -2

y = -11

Not satisfied

For coordinates(0, 2 )

at x = 0, y should be 2

y = 3*0 -2

y = -2

Not satisfied

For coordinates(1, 1)

at x = 1, y should be 1

Y = 3*1 - 2

y = 3 - 2

y = 1

satisfied

Therefore, (1, 1) are the coordinates that are on the given line.

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The process capability ratio (Cp) of the given woodcutting operation is Greater than or equal to 1.25 but less than 1.5.

A woodcutting operation has a target (nominal) value of 200 inches and consistently averages 200.1 inches with a standard deviation of .05 inches.

The design engineers have established an upper specification limit of 200.25 and a lower specification limit of 199.75 inches. Use this information to answer the next five questions.The process capability ratio, Cp, of the operation is: Greater than or equal to 1.25 but less than 1.5.

Process Capability Ratio is a measure that is used to quantify the level of compliance of a process. It is measured by dividing the specification range by the process range.

Process capability index (Cp) tells about the ability of the process to produce products that meet the specifications. If Cp value is greater than 1, it implies that the process is capable of producing products that meet the specifications.

If Cp value is less than 1, it implies that the process is not capable of producing products that meet the specifications.

The given data:Target Value = 200 inchesAverage Value = 200.1 inchesStandard Deviation = 0.05 inchesUSL = 200.25 inchesLSL = 199.75 inches

Calculation of Cp:Process capability ratio = (Upper specification limit - Lower specification limit) / (6 * Standard Deviation)Cp = (USL - LSL) / (6 * σ)Where, σ = Standard deviationCp = (200.25 - 199.75) / (6 * 0.05)Cp = 0.5 / 0.3Cp = 1.67The Cp value is greater than 1,

therefore, the process is capable of producing products that meet the specifications.

The given process capability ratios are:Less than 1Greater than or equal to 1 but less than 1.25Greater than or equal to 1.25 but less than 1.5Greater than or equal to 1.5 but less than 1.75Greater than or equal to 1.75 but less than 2Greater than or equal to 2.

Since the calculated value of Cp is greater than 1.25 but less than 1.5, therefore, the main answer is "Greater than or equal to 1.25 but less than 1.5".

The process capability ratio (Cp) of the given woodcutting operation is Greater than or equal to 1.25 but less than 1.5.

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n(A U B) = n(A) + n(B) - n(A n B)

From the question;

n(A n B) = 7 n(A U B) = 54 n(A) = 35

substituting the values into the formular above and then solve for n(B)

54 = 35 + n(B) - 7

54 = 28 + n(B)

subtract 28 from both-side of the equation

54 - 28 = 28 - 28 + n(B)

26 = n(B)