Use Theorem 13.9 to find the directional derivative of the function at P in the direction of Q. (Give your answer correct to 2 decimal places.) f(x, y) = cos(x + y), P(0, π), Q π 2 , 0

Answer:

(-∞, -3]U [-2,∞)

Step-by-step explanation:

Answer: x= 2, -2.5

Step-by-step explanation: trust lol

Answer:

4:18 pm

Step-by-step explanation:

An airport offers two shuttles that run on different schedules.If both shuttles leave the airport at 4:00 p.m.,at what time will they next leave the airport together.

Shuttle A leaves every 6 minutes

Shuttle B leaves every 9 minutes

Shuttle A: 4:00 pm

Leaves every 6 minutes

Next 4:06 pm

Next: 4:12 pm

Nex: 4:18 pm

Next: 4:24 pm

Shuttle B: 4:00 pm

Leaves every 9 minutes

Next: 4:09 pm

Next: 4:18 pm

Next: 4:27 pm

Next: 4:36 pm

The next time both shuttles will leave the airport together is 4:18 pm

the overall speedup in percentage is approximately 22.47%. This means that the system's execution time is improved by approximately 22.47% after the disk upgrade is applied.

Amdahl's Law is used to calculate the overall speedup of a system when only a portion of the system's execution time is improved. The formula for Amdahl's Law is: Speedup = 1 / [(1 - P) + (P / S)], where P represents the proportion of the execution time that is improved and S represents the speedup achieved for that proportion.

In this case, the system spends 55% of its time on I/O, so P = 0.55. The disk upgrade provides for 50% greater throughput, which means S = 1 + 0.5 = 1.5.

Plugging these values into the Amdahl's Law formula, we have Speedup = 1 / [(1 - 0.55) + (0.55 / 1.5)].

Simplifying further, we get Speedup = 1 / [0.45 + 0.3667].

Calculating the expression in the denominator, we find Speedup = 1 / 0.8167 ≈ 1.2247.

Therefore, the overall speedup in percentage is approximately 22.47%. This means that the system's execution time is improved by approximately 22.47% after the disk upgrade is applied.

Learn more about percentage here:

https://brainly.com/question/16797504

#SPJ11

Let's start by setting up some equations based on the given information.
Let's call the width of the rectangle "w" and the length "l". We know that:
l = 2w - m  (since the length is "m less than twice its width")

When we add "m" to the width, we get a square with an area of:
(w + m)^2 =
We can set up another equation based on the fact that the area of the original rectangle is:
A = lw =
Now, we can use the information we have to solve for the dimensions of the original rectangle. We can start by simplifying the equation for the area of the square:
(w + m)^2 =
w^2 + 2wm + m^2 =
Now we can substitute our expression for "l" in terms of "w" and "m":
w(2w - m) =
Expanding this out gives us:
2w^2 - wm =
We can substitute this expression for "lw" in our equation for the area of the square:
2w^2 - wm =
w^2 + 2wm + m^2 =
Now we can simplify this equation by expanding out the square on the left side:
2w^2 - wm =
w^2 + 2wm + m^2 =
2w^2 - wm =
w^2 + 2wm + m^2 =
w^2 + wm + m^2 =
Now we can solve for "m" by subtracting the first equation from the second:
3wm + m^2 =
Subtracting "w^2" from both sides gives us:
wm + m^2 =
Now we can solve for "m" using the quadratic formula:
m =
We can use this value for "m" to solve for the dimensions of the original rectangle. Substituting into our equation for "l" in terms of "w" and "m", we get:
l = 2w - m =
And substituting into our equation for the area of the rectangle, we get:
A = lw =
So the dimensions of the original rectangle are:
Width: w =
Length: l =

To know more about rectangle visit:

https://brainly.com/question/15019502

#SPJ11

Answer:

I don't know ask your parents

Step-by-step explanation:

Answer:

∠B = 36.87

Step-by-step explanation:

Since you are trying to find the angle measurement, you must use the inverse of cosine: \(cos^{-1}\) (you're using cosine because you have the opposite side and adjacent side):

\(cos^-1(4/5)\)

≈36.87

Answer:

36 mins

Step-by-step explanation:

0.5 miles/6 mins = 3 miles/x mins

In order to convert the ratio from 0.5 miles to 3 miles, 0.5 was multiplied by 6. Therefore, to keep the ratio the same, 6 minutes must also be multiplied by 6 to find x. This means the answer is:

3 miles/36 mins

Answer:

Perimeter = 80 yards

Step-by-step explanation:

Perimeter = 2(L + W) = 2(25 + 15) = 80 yards

13,822 to one significant figure is 10,000

623 to one significant figure is 600

14 to one significant figure is 10

10,000 times 600 = 6,000,000

6,000,000/10 = 600,000

The function f(x, y) satisfies the conditions that its limit approaches zero as x approaches zero along two different paths: y = x and y = x^2. This implies that as x approaches zero, the function f(x, y) must approach zero regardless of whether y varies linearly or quadratically with x.

The given conditions state that the limit of f(x, y) as x approaches zero along the path y = x is zero. This means that as x gets arbitrarily close to zero, the function f(x, y) approaches zero when y varies linearly with x. Similarly, the second condition states that the limit of f(x, y) as x approaches zero along the path y = x^2 is also zero. This implies that when y varies quadratically with x, the function f(x, y) still approaches zero as x approaches zero. Therefore, the function f(x, y) must satisfy both conditions by converging to zero as x approaches zero along both paths.

To learn more about function click here: brainly.com/question/30721594

#SPJ11

Answer:

−

x

2

−

4

x

−

4

=

0

Graph each side of the equation. The solution is the x-value of the point of intersection.

x

=

−

2

image of graph

Step-by-step explanation:

−

x

2

−

4

x

−

4

=

0

Graph each side of the equation. The solution is the x-value of the point of intersection.

x

=

−

2

image of graph

Centralized training means that training and development programs, resources, and professionals are primarily housed in a single location and that decisions about training investment, programs, and delivery methods are made from that department.

The term that describes the situation where training and development programs, resources, and professionals are primarily housed in a single location and decisions about training investment, programs, and delivery methods are made from that department is Centralized training is leverages one corporate training function that usually reports to one person, such as a chief learning officer. Centralized training functions assume accountability for managing learning and development throughout the organization.

To know more about Centralized training click here :

https://brainly.com/question/26390354

#SPJ4

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

4x + 4 ≤ 9x + 84x + 4 ≤ 9x + 8

84x ≤ 4

x ≤ 1/21

x ≤ 0.05

Thus,

The value of x is less than or equal to 0.05.

x ≤ 0.05

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

4x + 4 ≤ 9x + 84x + 4 ≤ 9x + 8

Adding the like terms.

4x + 4 ≤ 93x + 4 ≤ 9x + 8

Subtracting 4 on all sides.

4x  ≤ 93x ≤ 9x + 4

Subtracting 4x on all sides.

0 ≤ 93x - 4x ≤ 5x + 4

We can write it as,

89x ≤ 5x + 4

89x - 5x ≤ 4

84x ≤ 4

x ≤ 4/84

x ≤ 1/21

x ≤ 0.05

Thus,

The value of x is less than or equal to 0.05.

x ≤ 0.05

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ1

Answer:

true

Step-by-step explanation:

True, The blue radius is perpendicular to the green chord.

A line at an angle of 90° to a given line, plane, or surface.

As we have seen in the above picture,

These can be seen perpendicular.

So, the statement is true.

Learn more about Perpendicular:

https://brainly.com/question/1202004

#SPJ2

Answer:

x = 7

Step-by-step explanation:

Given

y = 5x - 3 ← equate 5x - 3 to 32

5x - 3 = 32 ( add 3 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7 ← input

Answer:

x=7

Step-by-step explanation:

y=5x-3

y = 32

32 = 5x- 3

Add 3 to each side

32+3 = 5x-3+3

35 = 5x

Divide by 5

35/5 = 5x/5

7 =x

The design specifications for a reverse-air baghouse to remove fly ash from a power plant exhaust gas stream are requested. The answers to the specific requirements are as follows:

a. The type of fabric: The selection of fabric for the baghouse will depend on various factors such as temperature, gas composition, and particulate characteristics. Considering the presence of SO2 gas and the high temperature of the airstream, a suitable fabric choice could be PTFE (Polytetrafluoroethylene) or P84 (Polyimide) due to their resistance to corrosion and high-temperature properties.

b. Filtering velocity, ft/min: The filtering velocity is the airflow rate passing through the cloth area per unit area. It is typically recommended to keep the filtering velocity within a range of 2-6 ft/min for baghouse applications. Considering the given airflow rate of 300,000 acfm, the filtering velocity can be calculated by dividing the airflow rate by the cloth area.

c. Cloth area: The cloth area required can be determined by dividing the airflow rate (300,000 acfm) by the filtering velocity (ft/min). The units should be converted appropriately to ensure consistency.

d. Number of bags: The number of bags needed depends on the desired bag spacing, bag length, and cloth area. It is typically determined based on practical considerations such as maintaining appropriate airflow distribution and minimizing pressure drop.

To know more about airstream click here: brainly.com/question/30643608

#SPJ11

Answer:

its the one with y

Step-by-step explanation:

Answer: simplify the expression

4/15

Answer:

8/15 is already in the simplest form

Step-by-step explanation:

Answer:

Are 20 students in the class

Step-by-step explanation:

\(x(0.5) = 10 \\ x = \frac{10}{0.5} \\ x = 20\)

Answer:

50% is a pretty simple number and a percentage almost everyone knows.

Since this is usually common knowledge we can say that 10 is equal to said 50%. We need to find out how many people there are in this class, and we can set up two separate equations of addition. 50%+50%=x

                                                                               10+10=k

50+50%=100% which is the max amount of kids that there cna be in this classroom, and that there are. This means that the number which is equal to 50% plus itself will also equal 100% of the students.

10+10=20

Step-by-step explanation:

In improper fractions form the numbers of hours Alonso spent on math homework and making a poster are given  5/2 hours and 11/3 hours respectively.

To write the numbers of hours Alonso spent on math homework and making a poster as improper fractions,

Convert the given mixed numbers into improper fractions.

Math homework = 2 1/2 hours

To convert 2 1/2 into an improper fraction,

Multiply the whole number (2) by the denominator (2) and add the numerator (1).

2 × 2 + 1

= 4 + 1

= 5

So, 2 1/2 can be written as the improper fraction 5/2.

Making a poster = 3 2/3 hours

To convert 3 2/3 into an improper fraction,

Multiply the whole number (3) by the denominator (3) and add the numerator (2),

3 × 3 + 2

= 9 + 2

= 11

So, 3 2/3 can be written as the improper fraction 11/3.

Therefore, the numbers of hours Alonso spent on math homework and making a poster can be expressed as the following improper fractions ,

Math homework =5/2 hours

Making a poster = 11/3 hours.

learn more about improper fractions here

brainly.com/question/29711619

#SPJ4

The evaluated integral is 8/9

To evaluate the integral √3 1/√3 2 1 x2 dx, we will use the power rule for integration. The power rule states that ∫x^n dx = (x^(n+1))/(n+1) + C, where C is the constant of integration.

First, we will rewrite the integral in terms of the power rule:

∫x^2 dx = (x^(2+1))/(2+1) + C

Simplifying the expression gives us:

∫x^2 dx = (x^3)/3 + C

Now we will use the limits of integration to find the definite integral:

[(√3)^3]/3 - [(1/√3)^3]/3 = (3√3)/3 - (1/3√3)/3 = √3 - 1/(9√3)

Simplifying the expression gives us the final answer:

√3 - 1/(9√3) = (9√3 - 1)/(9√3) = (8√3)/(9√3) = 8/9

Therefore, the integral √3 1/√3 2 1 x2 dx is equal to 8/9.

To know more about integers click on below link

https://brainly.com/question/15276410#

#SPJ11

Kristen is attempting to solve the equation \(0=\sqrt{6x}-x\). Hence, option b. is the correct answer.

A radical equation has no solution if the square root of a negative number is involved in the equation. The left-hand side of equation b, √(6x), is always non-negative. But the right-hand side, -x, can be negative. So, there is no value of x that can satisfy the equation.

In other words, there is no real number x that would make the left-hand side equal to the right-hand side, so equation b has no solution.

Hence, Kristen is attempting to solve equation 0 = √(6x) - x.

Read more equations:

brainly.com/question/29115752

#SPJ4

The complete question is -

Kristen is solving a radical equation and determines that the equation has no solution. Which equation is Kristen attempting to solve?

a. \(\sqrt{27+6x} =x\)

b. \(0=\sqrt{6x}-x\)

c. \(\sqrt{4-x}+9=0\)

d. \(\sqrt{\frac{x}{8}} = \sqrt{90-x}\)

When we vary two inputs or decision variables and want to see how the changes in these quantities change a single output.

When we vary two inputs or decision variables and want to see how the changes in these quantities change a single output, the table we use is called the Two-way Table.A two-way table is a table that shows the frequency distribution of categorical data in two different ways. It has two rows and two columns with one categorical variable defining the row and the other defining the column.To display the distribution of one variable along one dimension and the distribution of the other variable along the other dimension, we use a two-way frequency table. It's the same as a contingency table, but it includes frequency counts for each mix of the two variables.A two-way table is used in statistics to show the distribution of data when two different variables are taken into account. It is created to make comparisons between data in a tabular format to highlight correlations or relationships between the variables. Hence, the correct answer is the option d. Two-way Table.

To know more about variable,

https://brainly.com/question/28248724

#SPJ11

Answer:

Step-by-step explanation:

7.80=66(.05)+.10(x)

7.80=3.30+.10(x)

7.80=3.30+.10x

4.50=.10x

x=45

Check

66 nickels at .05=3.30

45 dimes at .10= 4.50

3.30+4.50= 7.80

Answer: C. <5

Explanation: They are on the same line meaning that they should share the same degree of angle, especially because they are opposite sides of the same line.

Answer:

Since these are right triangles, the unmarked sides can be determined to be congruent because of the Pythagorean theorem. Once the third set of congruent sides is determined, the SSS or SAS theorem can be used to prove triangle congruency. 

Step-by-step explanation:

sorry I know this is late but i just took the assignment and this was the answer

Answer:

they are right triangles so they are congruent

Step-by-step explanation:

got it right on edge

Answer:

the answer to that question is 3