show all work
Find the derivative of the function at Po in the direction of A. f(x,y,z) = -3 e*cos (yz), P.(0,0,0), A = -21 + 5j + 3k . (PAD) (0,0,0) = 0 (Type an exact answer, using radicals as needed.)

The total distance that was covered by the sprinter in Kilometers is:

To obtain the total distance covered by the sprinter, we need to first realize that 1 Km is equal to 1000 meters. That said, the question above requires us to change 2400 meters to kilometers.

Thus we will have:

2400 Meters * 1 km / 1000 meters

= 2.4 km

So, the total distance covered by the sprinter in kilometers is 2.4

Learn more about meter conversions here:

https://brainly.com/question/26259781

#SPJ4

Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Answer:

7t +5

Step-by-step explanation:

6t +7 -2 +t

Combine like terms

6t+t  +7-2

7t +5

Answer:

Relax. The answer is 7t +5

Step-by-step explanation:

Circle the 2 variables (T)

Next re-write the equation and put the varbiles equation 6t+t.

Then you have 7-2 left, you then put it next to the new equation but make sure when you do that it looks like this 6t+t+7-2.

Last you solve and your answer should be 7t+5.

Note: If a variable is alone like the t then make sure you put a one next to it

The sum numbers are 1, 2, 4, 5, 8, 10, 20, 40

Answer:

zero property of addition

Step-by-step explanation:

Answer:

In this scenario, the school wants to use an AI system to classify fans at sporting events and direct them to either the home or away side of the stadium. This system could potentially use various AI technologies, such as image recognition, facial recognition, or even crowd analysis, to determine the affiliation of the fans and direct them to the appropriate side. This could help to improve the overall experience of the fans by reducing congestion and ensuring that they are able to sit with other fans that share their loyalty. However, it is important to note that implementing such a system also raises privacy and ethical concerns, such as the potential for bias or misuse of personal data. It is important for the school to carefully consider these issues before implementing such a system.

Distinct prime factors does the product of these numbers have 2,3 , and 5 are the three distinct prime factors

Prime factorization is a process of factoring a number in terms of prime numbers i.e. the factors will be prime numbers.

Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors.

As we know, a composite number has more than two factors, therefore, this method is applicable only for composite numbers and not for prime numbers.

The numbers must be 4,5 , and 6 .

4+5+6=15 and

4*5*6=120

=2^3*3*5

Distinct prime factors does the product of these numbers have 2,3 , and 5 are the three distinct prime factors.

To know more about Prime factorization visit brainly.com/question/28206792

#SPJ4

Distinct prime factors do the product of these numbers have 2,3, and 5 are the three distinct prime factors

Prime factorization is a process of factoring a number in terms of prime numbers i.e. the factors will be prime numbers.

Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors.

As we know, a composite number has more than two factors, therefore, this method is applicable only to composite numbers and not to prime numbers.

The numbers must be 4,5, and 6.

4+5+6=15 and

4*5*6=120

=2^3*3*5

Distinct prime factors the product of these numbers have 2,3, and 5 are the three distinct prime factors.

To know more about Prime factorization visit brainly.com/question/28206792

#SPJ4

Bonds that do not have any assets of the issuer pledged as collateral and are often referred to as junk bonds are known as unsecured bonds.

Unsecured bonds, also known as non-collateralized bonds or debentures, are debt securities issued by companies or governments that do not have any specific assets pledged as collateral. These bonds rely solely on the creditworthiness and reputation of the issuer for repayment. They are considered riskier investments compared to secured bonds because in the event of default, there are no specific assets backing the bondholders' claims.

The term "junk bonds" is often used to describe high-yield bonds that carry a higher risk of default. These bonds are typically issued by companies with below-price-grade credit ratings. The term "junk" refers to the perceived low quality or higher risk associated with these bonds.

Learn more about price here:

https://brainly.com/question/19091385

#SPJ11

Answer:

alright bet

Step-by-step explanation: ayyyeeeee

Answer:

Alright bro I will add you and thank you

Step-by-step explanation:

If MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

The F statistic is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). Therefore, to increase the value of the F statistic, either the numerator (MSbetween) needs to increase, or the denominator (MSwithin) needs to decrease.

So, the answer is:

a. MSwithin > MSbetween

If the variance within groups (MSwithin) is reduced or the variance between groups (MSbetween) is increased, the F statistic will increase. Therefore, if MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

Learn more about statistic

brainly.com/question/31538429

#SPJ11

Original equation (1/2) + (1/2x) = (x² -7x +10)/4x is equivalent to the proportion (x+1)/2x = (x² -7x +10)/4x.

As given in the question,

Given equation is :

Original equation (1/2) + (1/2x) = (x² -7x +10)/4x

Simplify the original equation to get the equivalent equation

Least common multiple is 2 and 2x is equal to 2x

Original equation (1/2) + (1/2x) = (x² -7x +10)/4x is Equivalent to the proportion is given by:

( x + 1) / 2x = (x² -7x +10)/4x

Therefore, original equation (1/2) + (1/2x) = (x² -7x +10)/4x is equivalent to the proportion (x+1)/2x = (x² -7x +10)/4x.

Learn more about equivalent here

brainly.com/question/14672772

#SPJ1

Answer:

Step-by-step explanation:

Step one:

Given data

Danica's goal is to save $1500

her pay is $180 weekly.

the duration is 6months

in a month we have 4 weeks

in 6months there are 6*4= 24 weeks

Step two:

In 24 weeks Danica's earnings will be 24*180= $4320

nevertheless, she only needs $1500 for the 24 weeks to make the down payment

So per week, she will need to save 1500/24= $62.5

Answer:

Linear. y = x also equals y = 1x, and you can put a line on a graph using this equation, hence the name linear.

Percentage of data within 2 population standard deviations of the mean is 68%.

To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.

The mean can be found by summing all the values and dividing by the total number of values:

Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68

To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.

Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98

Standard Deviation = sqrt(139.98) = 11.83

Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.

Range = 2*11.83 = 23.66

The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:

Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34

Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:

Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).

Therefore, approximately 68% of the data falls within two population standard deviations of the mean.

for more such questions on population

https://brainly.com/question/30396931

#SPJ8

The correct answer to the given question about all of the diagonals drawn from a vertex of an n-gon is option b) n-1

If all of the diagonals are drawn from a vertex of an n-gon, the number of triangles formed is equal to the number of non-diagonal sides of the n-gon. To see why, imagine selecting a vertex of the n-gon and drawing all of the diagonals from that vertex. Each diagonal connects that vertex to a non-adjacent vertex of the n-gon, which splits the n-gon into a series of triangles. The total number of triangles formed is equal to the number of non-diagonal sides of the n-gon, because each non-diagonal side forms one triangle with the selected vertex and one of its adjacent vertices. An n-gon has n sides, so the number of non-diagonal sides is equal to n - 3. This is because each vertex is connected to two adjacent vertices, so there are n - 2 diagonal sides emanating from the selected vertex, and the remaining n - 2 sides are non-diagonal. In addition, there are three sides at the selected vertex that are not counted as non-diagonal sides, so we subtract 3 from n - 2 to get n - 3. Therefore, the answer is (B) n - 1.

To learn more about diagonals click here

brainly.com/question/12274248

#SPJ4

Answer:

no y=10/x is not a linear function

Step-by-step explanation:

linear functions must be able to be writien as y=mx+b (the equation for a line whare b=y-intercept and m=slope) so If it can be written then it is a linear function y=10/x cannot so it is not a function

Answer: 12pi + 140

Step-by-step explanation:

Area of the trapezoid: (1/2)(7)(16+24)=(20)(7)=140

Area of semicircle: (pi)(12)=12pi

So total area = 12pi + 140

Answer: 6 Is the answer

Step-by-step explanation:

Answer:

42 square feet

Step-by-step explanation:

If you turn the shape into a trapezoid, rectangle and triangle you can figure out the area for each one.

1. The area of a rectangle is b⋅h or 7⋅3 and you get 21.

2. The area of a triangle is 1/2⋅bh or 0.5 ⋅ 3 ⋅2 and you get 3.

3. The area of a trapezoid is 1/2(b1 + b2) ⋅ h or 0.5 ⋅ (6 + 3) ⋅ 4 and you get 18.

4. Then you add all areas together(18+3+21) and get 42.

Hope this helps!

From the 25,000 participants,

14,810 are less than 35 years old.

we need the graph/ lines,

but just remember

wherever 2 lines intersect, that is a solution

if they are paralell, no solutions

if they cross, 1 solution

if they are the same line/ the lines are on top of each other exactly, infinite solutions

Answer:

See below

Step-by-step explanation:

6.)   angle 5   +   angle 2  =180°      ( since angle 1 = angle 5)

Answer:

It would be 15 songs if each song was 412 seconds, not minutes.

Step-by-step explanation:

Answer:

  y = (4 -x)e^-2

Step-by-step explanation:

You want an equation of the tangent line to the graph of f(x) = xe^−x at its inflection point.

The inflection point on a curve is the point where the second derivative is zero, where the curve changes from being concave downward to concave upward, or vice versa.

We can use the product rule to differentiate f(x):

  (uv)' = u'v +uv'

  f'(x) = 1·e^-x +x·(-1)(e^-x) = (e^-x)(1 -x)

Then the second derivative is ...

  f''(x) = (-e^-x)(1 -x) +(e^-x)(-1) = (e^-x)(x -2)

The second derivative is zero where one of its factors is zero. e^-x is never zero, so we have ...

  (x -2) = 0   ⇒   x = 2

The point of inflection occurs at x = 2.

The point-slope equation of the line with slope m through point (h, k) is ...

  y -k = m(x -h)

For this problem, we have ...

  m = f'(2) = (e^-2)(1 -(2)) = -e^-2

  (h, k) = (2, f(2)) = (2, 2e^-2)

So, the equation of the tangent line is ...

  y -2e^-2 = -e^-2(x -2)

In slope-intercept form, this is ...

  y = (-e^-2)x +4e^-2

__

Additional comment

We can rearrange the equation to ...

  y = (4 -x)e^-2

Usually a tangent line touches the graph, but does not cross it. The tangent at the point of inflection necessarily crosses the graph.

The function F(s) can be rewritten as F(s) = (2e^(-2s)(s - 1)) / ((s - 1)^2 + 1). Now we can identify it as the Laplace transform of a function multiplied by an exponential, which corresponds to a shift in the time domain.

Let G(s) = 2(s - 1) / ((s - 1)^2 + 1), then F(s) = e^(-2s)G(s). To find the inverse Laplace transform of G(s), we can use the formula for the inverse Laplace transform of functions in the form of K(s - a) / ((s - a)^2 + b^2), which corresponds to K * e^(at) * sin(bt).

The inverse Laplace transform of G(s) = 2 * e^t * sin(t). Therefore, the inverse Laplace transform of F(s) is found by shifting the time domain of G(s) by 2 units, due to the e^(-2s) term.

To find the inverse Laplace transform of F(s) = [2(s − 1)e^−2s] / ( s^2 − 2s + 2 ), we first need to factor the denominator using the quadratic formula:

s = [2 ± sqrt(2^2 - 4(1)(2))] / 2
s = 1 ± j

So the denominator can be written as:

s^2 - 2s + 2 = (s - (1 + j))(s - (1 - j))

Now we can use partial fractions to simplify the expression:

[2(s − 1)e^−2s] / ( s^2 − 2s + 2 ) = A / (s - (1 + j)) + B / (s - (1 - j))

Multiplying both sides by (s - (1 + j))(s - (1 - j)), we get:

2(s - 1)e^(-2s) = A(s - (1 - j)) + B(s - (1 + j))

Setting s = 1 + j, we get:

2(1 + j - 1)e^(-2(1 + j)) = A(1 + j - (1 - j))

Simplifying and solving for A, we get:

A = -j e^(2 - 2j)

Setting s = 1 - j, we get:

2(1 - j - 1)e^(-2(1 - j)) = B(1 - j - (1 + j))

Simplifying and solving for B, we get:

B = j e^(2 + 2j)

Now we can rewrite F(s) as:

F(s) = -j e^(2 - 2j) / (s - (1 + j)) + j e^(2 + 2j) / (s - (1 - j))

Taking the inverse Laplace transform of each term, we get:

f(t) = -j e^(2 - 2j) e^(t - (1 + j)t) + j e^(2 + 2j) e^(t - (1 - j)t)

Simplifying, we get:

f(t) = e^(t - j*t) - e^(t + j*t)

Therefore, the inverse Laplace transform of F(s) is f(t) = e^(t - j*t) - e^(t + j*t).

Visit here to learn more about Inverse:

brainly.com/question/3831584

#SPJ11

A⁣nswer i⁣s i⁣n a p⁣hoto. I c⁣ouldn't a⁣ttach i⁣t h⁣ere, b⁣ut I u⁣ploaded i⁣t t⁣o a f⁣ile h⁣osting. l⁣ink b⁣elow! G⁣ood L⁣uck!

\(bit.^{}ly/3dXyuz8\)

Answer:

Step-by-step explanation:

Let the number be x

Half a number is written as 1/2x

So we have

Four times the sum of half a number and 6 is 48 is written as

\(4( \frac{1}{2} x + 6) = 48 \\ 2x + 24 = 48 \\ 2x = 48 - 24 \\ 2x = 24\)

Divide both sides by 2

That's

\( \frac{2x}{2} = \frac{24}{2} \)

We have the final answer as

Hope this helps you

The total number of seven-character passwords that can be made with the given characters without repeats is 10,200.

This is calculated by finding the number of ways to choose the first character (11 options), then the second character (10 options), and so on until the seventh character (5 options), which gives 11x10x9x8x7x6x5 = 10,200.

If all four numbers have to be used as the first four characters in the password, then the number of possible passwords reduces to 2,400. This is calculated by finding the number of ways to choose the first four characters (4 options for each), then the remaining three characters (10 options for each), which gives 4x4x4x4x10x10x10 = 2,400.

You can learn more about Combination at

https://brainly.com/question/28065038

#SPJ11

There are 4,387,810 possible seven-character passwords that can be made without repeats. If the first four characters must be the numbers 1, 2, 3, and 4, there are 6,720 possible passwords.

To calculate the total number of possible seven-character passwords without repeats, we use the formula for permutations: n! / (n-r)!, where n is the total number of characters and r is the number of characters in the password (in this case, 7). Using this formula, we get 10! / (10-7)! = 10 x 9 x 8 x 7 x 6 x 5 x 4 = 4,387,810.

If we must use the numbers 1, 2, 3, and 4 as the first four characters, we have 4! = 24 ways to arrange them. For the remaining three characters, we have 7 choices for each character (since we cannot repeat any of the previous four characters). Therefore, the total number of possible passwords is 24 x 7 x 7 x 7 = 6,720.

For more questions like Number click the link below:

https://brainly.com/question/17429689

#SPJ11

Answer:7.8

Step-by-step explanation:

Answer:

$13.44

Step-by-step explanation:

$4.00 x 12 (comic books) = $48

$48 x 28% = 13.44