State the divergence theorem and use it to evaluate ff.ds over the region V bounded by the planes x = 0, y = 0, z = 0, z = 4 and the surface of the cylinder x² + y² = 9 in the first octant, where F = xî + xyj + 2k.​

Answer:

Step-by-step explanation:

Amount paid = 1 * 4.90 + 6*2.15

                     = 4.90 + 12.90

                     = £ 17.80

Angle L's in the triangle LMN is,

⇒ L = 72.54°

We have to given that;

A triangle LMN is shown in figure.

And, The sides are,

Since, We know that;

A triangle is a three-sided polygon with three vertices, three angles that add up to 180 degrees, and three sides.

Since, We know that;

⇒ sin L = Opposite / Hypotenuse

And, cos L = Base / Hypotenuse

Two rays after combined into an angle have a single terminal. And, latter is known as the vertex of the angle, and the rays are known as its sides, occasionally as its legs, and occasionally as its arms.

Now, We can use trigonometry formula to find the value of angle l we get;

⇒ sin L = Opposite / Hypotenuse

⇒ sin L = LM / LN

⇒ sin L = 18/60

Taking arc sin both side, we get;

⇒ L = 72.54°

Therefore, The value of measure of angle L is triangle LMN is,

⇒ L = 72.54°

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

Step-by-step explanation

work out the question in bracket first then separate numericals and variables to make it easier.

Answer:

distribute

5 + 8 = 3 ( + 2 )

expand to

 5 + 8 = 3 + 6

subtract 8 from both sides

5 + 8 = 3 + 6

5 + 8 − 8 = 3 + 6 − 8

simplify

5 = 3 − 2

subtract 3 from both sides

5 − 3 = 3 − 2 − 3

simplify

2 = − 2

then divide both sides by 2

2 / 2  = − 2/ 2

= − 2/ 2

answer is

= −1

Step-by-step explanation:

Hope that helps>3

Answer:

y=-x^2 -5

Domain is all real numbers

Range is y<-5

Step-by-step explanation:

1) -5 means the min/max is at that y.

2) for a parabola, Domain is always all real numbers.

3) due to the graph being flipped with the negative, you now have a maximum value, giving the range of y<-5.

4) enjoy the answer.

Answer:

Step-by-step explanation:

In general, the transformation ...

  g(x) = f(x -h) +k

translates f(x) right h units and up k units.

The transformation ...

  g(x) = f(x/a)

stretches the graph horizontally by a factor of "a".

The transformation ...

  g(x) = -f(x)

causes the graph to be reflected over the x-axis.

___

Applying the above, we have ...

f(x) = 2^x reflected over x is g(x) = -2^x

f(x) = (1/3)^x translated up 5 is g(x) = (1/3)^x +5

f(x) = 3^x translated by (-2, -3) is g(x) = 3^(x +2) -3

f(x) = (1/2)^x translated down 2 is g(x) = (1/2)^x -2

f(x) = 4^x stretched horizontally by a factor of 3 is g(x) = 4^(x/3)

f(x) = 2^x translated by (3, 4) is g(x) = 2^(x -3) +4

Answer:

-2^x

(1/3)^x +5

3^(x +2) -3

(1/2)^x -2

4^(x/3)

2^(x -3) +4

Step-by-step explanation:

In general, the transformation ...

 g(x) = f(x -h) +k

translates f(x) right h units and up k units.

The transformation ...

 g(x) = f(x/a)

stretches the graph horizontally by a factor of "a".

The transformation ...

 g(x) = -f(x)

causes the graph to be reflected over the x-axis.

___

Applying the above, we have ...

f(x) = 2^x reflected over x is g(x) = -2^x

f(x) = (1/3)^x translated up 5 is g(x) = (1/3)^x +5

f(x) = 3^x translated by (-2, -3) is g(x) = 3^(x +2) -3

f(x) = (1/2)^x translated down 2 is g(x) = (1/2)^x -2

f(x) = 4^x stretched horizontally by a factor of 3 is g(x) = 4^(x/3)

f(x) = 2^x translated by (3, 4) is g(x) = 2^(x -3) +4

Answer:

4-5 12 -13

Step-by-step explanation:

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

To know more about line, visit:

https://brainly.com/question/30003330

#SPJ1

Answer:

6 pegs can be cut.

Answer:

24

Step-by-step explanation:

!=1

Answer:

$6,722.63

Step-by-step explanation:

Now: $10,200

In 1 year: 0.92 × $10,200 = $9,384

In 2 years: 0.92 × $9,384 = $8,633.28

In 3 years: 0.92 × $8,633.28 = $7,942.6176

In 4 years: 0.92 × $7,942.6176 = $7,307.208192

In 5 years: 0.92 × $7,307.208192 = $6,722.63

Answer: $6,722.63

Answer:

$6,722.63

Step-by-step explanation:

Using this formula A=P(1-d/100)^n where

A = Amount

P = Principal

d = percent

n = number of year

A=P(1-d/100)^n

A = 10,200(1-8/100)⁵

A = 10,200(1-0.08)⁵

A = 10,200(0.92)⁵

A = 10,200(0.6591)

A= $6,722.63

Answer:

It would be 93 remainder 3/the second one.

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

for more such question on graph visit

https://brainly.com/question/19040584

#SPJ8

Answer:

Step-by-step explanation:

Given scores:

Mean of the scores:

Absolute deviations:

Sum of absolute deviations:

Mean absolute deviation:

total no of game (n)=5

score =15, 25, 10, 2, and 8 points

mean= sum of score/no.of game

=(15+25+10+2+8)/5=60/5=12

absolute deviation of

15=\15-12\=3

25=\25-12\=13

10=\10-12\=2

2=\2-12\=10

8=\8-12\=4

mean absolute deviation=

(3+13+2+10+4)/5=3.6

is the mean absolute deviation of the points she scored during the last five games.

Answer:

well you see if u wanrt to

a

Expression that can be used to find -6.3 x -4.2 are

(1): -4.7 - 2.3x + 0.5 - 4x

(2):-5.3x-4.2-x

(3):-3.4-6.3x-0.8

Expression can be defined  as a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction and multiplication

By Collecting like terms and adding the answer I get -6.3x - 4.2

(1):-4.7-2.3x+0.5-4x

Collect like terms

-2.3x-4x-4.7+0.5

-6.3x-4.2

(2):-5.3x-4.2-x

Collect like terms

-5.3x-x-4.2

-6.3x-4.2

(3): -3.4-6.3x-0.8

Collect like terms

-6.3x-3.4-0.8

-6.3x-4.2

Learn more about expression here: brainly.com/question/22048677

#SPJ1

The option are:

-4.7 - 2.3x + 0.5 - 4x

-5.3x - 4.2 - x

-3.4 - 6.3x - 0.8

-6.2x - 4.2

-4.2x - 6.3

-3.7 - 5.3x + 0.5

multiple choice

We can buy small vases,Flower pots for our houses.

\(\sf\orange{Hope \: it \: helps \: please \: mark \: me \: as \: brainliest!}\)

Answer:

20/121

Step-by-step explanation:

\(ab=\left(\frac{2}{11} \right) \left(\frac{10}{11} \right) \\ \\ =\frac{(2)(10)}{(11)(11)} \\ \\ =\frac{20}{121}\)

Answer:

The half-life of a radioactive substance is the time it takes for half of the initial amount of the substance to decay. We can use the fact that 8% of the original amount remains after 100 days to determine the half-life of the isotope.

Let's assume that the initial amount of the substance is 1 unit (it could be any amount, but we're assuming 1 unit for simplicity). After one half-life, half of the original amount remains, or 0.5 units. After two half-lives, half of the remaining amount remains, or 0.25 units. After three half-lives, half of the remaining amount remains, or 0.125 units. We can see that the amount of substance remaining after each half-life is half of the previous amount.

We can use this information to set up the following equation:

0.08 = (1/2)^n

where n is the number of half-lives that have elapsed. We want to solve for n.

Taking the logarithm of both sides, we get:

log(0.08) = n*log(1/2)

Solving for n, we get:

n = log(0.08) / log(1/2) = 3.42

So the number of half-lives that have elapsed is approximately 3.42. Since we know that 100 days is the time for three half-lives (from the previous calculation), we can find the half-life by dividing 100 days by 3.42:

Half-life = 100 days / 3.42 = 29.2 days (rounded to one decimal place)

Therefore, the half-life of the radioactive isotope that leaked into the stream is approximately 29.2 days.

Answer & Step-by-step explanation:

2. 4 times (*) f equals (=) 1/2

Equation: 4f=1/2

4 times (*) 1/8 equals (=) 1/2

f = 1/8

3. 832 divided by (/) n equals (=) 16

Equation: 832/n=16

832 divided by (/) 52 equals (=) 16

n = 52

4.  10 subtracted from (-) x equals (=) 6

Equation: 10-x=6

10 - 4 = 6

x = 4

Hope this helps ;)

Answer:

246.76$

Step-by-step explanation:

199 x .24 =

47.76

199 + 47.76 =

246.76

The answer for blanks in statements are, an x-intercept of 1 , -3, x>1 , increasing , 7.5.

Many mathematical and real-world phenomena are described by functions. Modeling real-world occurrences like population increase, interest rates, or physical motion is frequently done using them. There are many distinct features that functions can have, including continuity, differentiability, and periodicity. Functions can also be linear or nonlinear.

The domain and range of functions are crucial components. The set of all potential input values makes up the domain of a function, whereas the set of all possible output values makes up the range. The behaviour of a function, such as whether it is increasing, decreasing, or constant, can also be used to categorize it. A function's graph shows the relationship between its input and output values graphically.

Function h has an x-intercept of 1 and a y-intercept of -3.  The function is positive for x>1 and increasing on all intervals of x. The average rate of change for the function on the interval [0, 2] is 7.5

To know more about intercept visit:

https://brainly.com/question/11872755

#SPJ1

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

-90=\(x\)(\(x\)-18)

-90=\(x^{2}\)-18\(x\)

\(0=x^{2}-18x+90\)

\(x=9+3i or 9-3i\)

Step-by-step explanation:

you need to use quadratic formula and you will find square root a negative ( -9 ), which is an imaginary no.

square root (-9) = 3i

Using compound interest, it is found that:

a) The monthly payments are of $3,401.49.

b) The total of all monthly payments for 30 years is of $1,224,536.

c) The total interest is of $794,536.

d) The total interest is greater.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

For the parameters, we have that:

For practicality, first we are going to solve item b.

Item b:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A(30) = 430000\left(1 + \frac{0.0355}{1}\right)^{30}\)

\(A(30) = 1224536\)

The total of all monthly payments for 30 years is of $1,224,536.

Item a:

$1,224,536 is paid in 30 x 12 = 360 months, hence:

1224536/360 = $3,401.49.

The monthly payments are of $3,401.49.

Item c:

The interest is the total subtracted from the principal, hence:

1224536 - 430000 = $794,536.

The total interest is of $794,536.

Item d:

Loan of $430,000, interest of $794,536, hence the total interest is greater.

You can learn more about compound interest at https://brainly.com/question/25781328

If John solved the equation x² - 10x + 8 = 0 by completing the square, one of the steps in his process would be: A. (x - 5)² = 17.

In Mathematics, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

x² - 10x + 8 = 0

x² - 10x = -8

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² - 10x + (-10/2)² = 8 + (-10/2)²

x² - 10x + 25 = -8 + 25

x² - 10x + 25 = 17

By simplifying, we have;

(x - 5)² = 17

Read more on quadratic functions here: brainly.com/question/14201243

#SPJ1

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

In a case whereby the metal piece has four ridges of equal size on the top. The width of the piece is 3cm the volume of the work is \(450cm^3\)

Based on the provided fiqure, we will need to find te volume of the rectangle, then substract from th volume of the four triangular prism

The volume of the rectangle can be epresed as ;

2*3*10 = \(600cm^3\)

The volume of the four triangular prism can be expressed as

20/4 = 5cm          10-5= 5cm

\(1/2 * 5 * 5*3*4 = 150cm^3\)

\(600- 150 =450 cm^3\)

Learn more about  volume at:

https://brainly.com/question/27710307

#SPJ1

The end-points of the line segment will be negative 1.25 and 0.25.

A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.

The length of the line segment is 1.50 units and the midpoint of the line segment is negative 0.50. Then the end-points of the line segment are given as,

⇒ - 0.50 ± (1.50) / 2

Simplify the expression, then we have

⇒ - 0.50 ± (1.50) / 2

⇒ - 0.50 - (1.50) / 2, - 0.50 + (1.50) / 2

⇒ - 0.50 - 0.75, - 0.50 + 0.75

⇒ - 1.25, 0.25

The end-points of the line fragment will be negative 1.25 and 0.25.

More about the number line link is given below.

https://brainly.com/question/13189025

#SPJ1

Answer:

ok um last person was rude but your answer is A

Step-by-step explanation: