What is the distance from the origin to pint A graphed on the complex plane below

Answer:

4,895 containers

Step-by-step explanation:

The number of the wooden closed cylinders to be painted, n = 200

The diameter of each cylinder, d = 35 mm = 3.5 cm

The height of each cylinder, h = 7 cm

The surface area of each closed cylinder, A = 2·π·d²/4 + 2·π·(d/2)·h

Where, π = 3.142, we get;

A = 2 × 3.142 × 3.5²/4 + 2 × 3.142 × (3.5/2) × 7 = 96.22375

The surface area of each cylinder, A = 96.22375 cm²

The total surface area, \(A_T\) = n × A

∴ \(A_T\) = 200 × 96.22375 = 19,244.75

The total surface area that needs to be painted, \(A_T\) = 19,22375 cm²

7. The base diameter of the tank, d₁ = 2.4 m = 240 cm

The height of the tank, h₁ = 6.4 m = 640 cm

The base radius of each cylinder container, r = 8.2 cm

The height of each cylindrical container, h₂ = 28 cm

The number of cylindrical containers which can be filled by the oil in the tank, n, is given as follows;

n = (The volume of the tank)/(The volume of a cylinder)

The volume of the tank, V₁ = π·(d²/4)·h₁

∴ V₁ = π × (240²/4) × 640 = 9216000·π

The volume of the tank, V₁ = 9216000·π cm²

The volume of a cylinder, V₂ = π·r²·h₂

∴ V₂ = π × 8.2² × 28 = 1,882.72·π

The volume of a cylinder, V₂ = 1,882.72·π cm²

The number of containers, n = 9216000·π/1882.72·π ≈ 4,895.045

Therefore, the number of complete cylindrical containers that can be filed by the oil in the tank, n = 4,895 containers

Answer:

6) About 19,244.75 square centimeters.

7)  About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

Then the total surface area for 200 cylinders will be:

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

Since r = 1.2 and h = 6.4:

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

Answer:

it is A.

Step-by-step explanation:

The answer is not an equation, because for it to be an equation, an equal sign is required. Therefore it is an expression.

It is algebraic because there are variables involved. If there were only numbers, it would be numerical.

hope this helps!

Answer:

A. an algebraic expression

Step-by-step explanation:

It is algebraic because there is a variable involved, s. It is also an expression because there is no equal sign before or after the terms.

Answer:

m = 16

Step-by-step explanation:

304 = 19 m      ( / 19)

16 = m

Answer:

72 degree

Step-by-step explanation:

It is given that :

Sports   Hours

Soccer     5

Jogging   20

Walking    10

Skiing        5

Football   10

                50 hours

The total hour is given as 50 hours. Out of which walking is 10 hours.

Therefore, in degree the portion of walking will be :

  \($=\frac{10}{50} \times 360^\circ$\)

 \($=72^\circ$\)

The answer is (d) all of the above. Alice must prefer the gamble ($450 w.p. 0.5 $0 w.p. 0.5) to (a), (b) and (c) since it offers her a higher expected value and complies with the independence axiom.

Alice prefers $450 for sure to the gamble ($1000 w.p. 0.5 $0 w.p. 0.5). The expected value of the gamble is $500, while the expected value of $450 is clearly lower. This complies with the independence axiom, as she is preferring a certain $450 to an uncertain $500.

Therefore, Alice must prefer the gamble ($450 w.p. 0.5 $0 w.p. 0.5) to (a) ($1000 w.p. 25% 0 w.p. 75%), (b) $225, and (c) $200, since it offers her a higher expected value and complies with the independence axiom. Thus, the answer is (d) all of the above.

Learn more about expected value here

https://brainly.com/question/18523098

#SPJ4

The oldest player is 14 years older than the youngest player.Based on the given line plot, the oldest player is 14 years older than the youngest player.

To determine the age difference between the oldest and youngest players, we need to analyze the line plot provided. The x-axis represents the players' numbers, while the y-axis represents their ages. By examining the plot, we can determine the age of the youngest player, which is 20 years. Similarly, the age of the oldest player can be found to be 34 years.

To calculate the age difference, we subtract the age of the youngest player from the age of the oldest player: 34 - 20 = 14.

Based on the given line plot, the oldest player is 14 years older than the youngest player.

To know more about   line plot, follow the link:

https://brainly.com/question/30612947

#SPJ11

Answer:

4^3 x 5^2

Step-by-step explanation:

The butterfly spread is constructed using the following three calls: - Buy 1 call with an exercise price of 120 at a price of $15.40.- Sell 2 calls with an exercise price of 125 at a price of $13.50 each.- Buy 1 call with an exercise price of 130 at a price of $11.35.


A butterfly spread involves buying one option with a lower exercise price, selling two options with a middle exercise price, and buying one option with a higher exercise price. In this case, we buy the call with an exercise price of 120, sell two calls with an exercise price of 125, and buy the call with an exercise price of 130.

To analyze the strategy, we need to consider the stock price at expiration. The breakeven stock prices are calculated by adding and subtracting the net debit or credit from the middle exercise price. In this case, the net debit is $1.60 ($15.40 – 2*$13.50 + $11.35), so the breakeven prices are $121.40 ($125 - $1.60) and $128.60 ($125 + $1.60).

The maximum profit of $1.60 occurs when the stock price is exactly at the middle exercise price of 125 at expiration. In this case, the two sold calls expire worthless, and the two bought calls have intrinsic value of $5 each. The minimum profit of -$1.40 occurs when the stock price is below $121.40 or above $128.60 at expiration. In this situation, all the options expire worthless, resulting in a loss of the net debit.

Learn more about Butterfly spread here: brainly.com/question/32201277
#SPJ11

Answer:

x=-14 and x = 2 or C

Step-by-step explanation:

hope this helps! please mark brainliest!!!

The linear programming model for the plumbing repair company will include 7 decision variables.

In linear programming, decision variables represent the choices or allocations that need to be made in order to optimize a given objective function. In this case, the objective is to assign each of the 7 employees to one of the 7 available jobs.

Since each employee is assigned to exactly one job and each job must have someone assigned, we have a one-to-one mapping between the employees and the jobs. Therefore, we can define 7 decision variables, one for each employee, representing their assignments. For example, let's denote the decision variables as x1, x2, x3, x4, x5, x6, and x7, where xi represents the assignment of the i-th employee.

Each decision variable can take on a value of 0 or 1, indicating whether the corresponding employee is assigned to the respective job or not. If xi = 1, it means the i-th employee is assigned to a job, and if xi = 0, it means the i-th employee is not assigned to any job.

In conclusion, the linear programming model will include 7 decision variables, one for each employee, to represent the assignments to the 7 available jobs.

Learn more about variables here:

https://brainly.com/question/29583350

#SPJ11

For the given standard deviation the minimum value we would assign is 22.the maximum value we would assign is 88.

To calculate the minimum and maximum values based on the given information, we need to consider the standard deviation and the respective interest rates for the 3-year and 10-year periods.

Given:

S = 26.32 (Initial value)

E = 55 (Expected value)

t = 3 (Years)

Standard deviation = 60% (of the expected value)

3-year interest rate = 2.4%

10-year interest rate = 3.1%

To find the minimum value, we will calculate the value at the end of the 3-year period using the lowest possible growth rate.

Minimum value calculation:

Minimum value = E - (Standard deviation * E) = 55 - (0.6 * 55) = 55 - 33 = 22

Therefore, the minimum value we would assign is 22.

To find the maximum value, we will calculate the value at the end of the 10-year period using the highest possible growth rate.

Maximum value calculation:

Maximum value = E + (Standard deviation * E) = 55 + (0.6 * 55) = 55 + 33 = 88

Therefore, the maximum value we would assign is 88.

For more details about standard deviation

https://brainly.com/question/13498201

#SPJ4

Answer:

c. 5

Step-by-step explanation:

Try each choice on the right side of the inequality, and see which one makes the inequality true.

a. 0

x(9 - x) = 0 * (9 - 0) = 0 * 9 = 0

10 < x(9 - x)

10 < 0

10 is not less than 0, so a. is out.

b. 1

x(9 - x) = 1 * (9 - 1) = 1 * 8 = 8

10 < x(9 - x)

10 < 8

10 is not less than 8, so b. is out.

c. 5

x(9 - x) = 5 * (9 - 5) = 5 * 4 = 20

10 < x(9 - x)

10 < 20

10 is less than 20, so c. works.

d. 10

x(9 - x) = 10 * (9 - 10) = 10 * (-1) = -10

10 < x(9 - x)

10 < -10

10 is not less than -10, so d. is out.

The only number that works is

c. 5

In conclusion, the probability that exactly 7 out of 17 cars will not have engine failure given that 24.1% of car engines will fail if they have not had routine maintenance in the past five years is 0.1918.

The probability that exactly 7 out of 17 cars will not have engine failure given that 24.1% of car engines will fail if they have not had routine maintenance in the past five years is 0.1918. This probability can be determined by using the binomial probability formula, which states that the probability of x successes in n trials is equal to

\(nCr * p^x * (1-p)^(n-x),\) where n is the number of trials, r is the number of successes, p is the probability of success, and x is the number of successes in the trials.

In this case, the number of trials (n) is 17, the number of successes (r) is 7, the probability of success (p) is 0.241, and the number of successes in the trials (x) is 7. Substituting these values into the equation, the probability that exactly 7 out of 17 cars will not have engine failure is \(17C7 * (0.241)^7 * (0.759)^(17-7) = 0.1918.\)

for such more questions on binomial probability

https://brainly.com/question/24756209

#SPJ11

Answer:

...

Step-by-step explanation:

1. B

angle A is 63 since 27+90= 117, 180-117= 63 (since a straight line is 180°)

2. 7x + 10 = 150 (since they are vertical angles)

7x = 140

x = 20

now plug in 7(20) +10

140+10=150

The value of the score that was removed is 15.

We have,

To find the value of the score that was removed, we can use the formula for the mean (average):

Mean = Sum of scores / Number of scores

Initially, the population of 10 scores has a mean of µ = 6.

Therefore, the sum of the 10 scores is 10 x 6 = 60.

After one score is removed, the mean becomes µ = 5.

The number of scores is now 10 - 1 = 9.

The new sum of the 9 scores is 9 * 5 = 45.

To find the value of the score that was removed, we can subtract the new sum from the initial sum:

Value of removed score = Initial sum - New sum

= 60 - 45

= 15

Therefore,

The value of the score that was removed is 15.

Learn more about mean here:

https://brainly.com/question/23263573

#SPJ12

Probability that he either hits a bullseye or score 10 points is x+y.

What is addition of probability?

Picture of what probability addition looks like Basic Addition Probability rule. Probability in mathematics determines how likely an event is to occur. For instance, there is no way to predict which of a die's six faces would be up while rolling the die. Probability, however, indicates that there is only a 1/6 chance that each face will result from a single die toss.

we can assume that probability of dart hitting the centre of dart board is x.
and probability of dart hitting the 10 points ring is y. as not properly given in question.
then, probability that he either hits a bullseye or score 10 points is x+y.

Learn more about addition of probability link below.
https://brainly.com/question/25839839
#SPJ4

Answer:

\(m = - \frac{1}{4} \)

\(c = 2 \frac{3}{4} \)

Step-by-step explanation:

Let's start by finding the point of intersection of the lines x -2y= -1 and y= 2.

x -2y= -1 -----(1)

y= 2 -----(2)

Substitute (2) into (1):

x -2(2)= -1

x -4= -1

x= 4 -1

x= 3

Thus, the point of intersection is (3, 2).

y= 4x +8

Slope= 4

The product of the slopes of perpendicular lines is -1.

4m= -1

m= -¼

y= -¼x +c

Since the line passes through (3, 2), we can substitute this coordinates into the equation to find the value of c.

When x= 3, y= 2,

\(2 = - \frac{1}{4} (3) + c\)

\(c = 2 + \frac{3}{4} \)

\(c = 2 \frac{3}{4} \)

Answer in the picture.

The two nonparallel vectors and the coordinates of a point in the plane with parametric equations is a = <2, 1, -1> = 2i + j -k and

b = <3, -5, 2> = 3i -5j + 2k.

Geometrical objects with magnitude and direction are called vectors. A line with an arrow pointing in its direction can be used to represent a vector, and the length of the line corresponds to the vector's magnitude. As a result, vectors are shown as arrows and have starting and ending points. It took 200 years for the idea of vectors to develop. Physical quantities like displacement, velocity, acceleration, etc. are represented by vectors.

Additionally, the development of the field of electromagnetic induction in the late 19th century marked the beginning of the use of vectors. For a better understanding, we will explore the concept of vectors in this section along with their characteristics, formulae, and operations while utilising solved examples.

r(s, t) = < x, y, z> = < 2s+3t, s-5t, -s+2t >

r(s, t) = < x, y, z> = < 0+2s+3t, 0+s-5t, 0-s+2t >

r(s, t) = < x, y, z> = < 0+0+0, s(2, 1, -1), t(3, -5, 2) >

In parametric form for following:

a = <2, 1, -1> = 2i + j -k

b = <3, -5, 2> = 3i -5j + 2k

and point P(\(x_0,y_0,z_0\)) = P(0, 0, 0)

Learn more about Vectors:

https://brainly.com/question/28028700

#SPJ4

Answer:

∠3 and ∠10 are;

B. Alternate exterior angles

Step-by-step explanation:

From the given diagram, we have;

∠3 and ∠10 are angles on the same transversal

The location of ∠3 and ∠10 are on the outer (exterior) part of the two lines crossed by the transversal that forms ∠3 and ∠10 such that the two lines comes between the angles

∠3 and ∠10 are on the alternate sides of the transversal such that ∠3 is below the transversal and ∠10 is above the transversal

Therefore, ∠3 and ∠10 are alternate exterior angles.

Answer:

\( \sf\frac{3}{4}\cdot \frac{8}{9}\cdot \frac{15}{16}\cdot \frac{24}{25}\cdot \frac{35}{36}\cdot \frac{48}{49}\cdot \frac{63}{64}\cdot \frac{80}{81}\cdot \frac{99}{100} \\ \implies \sf \frac{3 \times 8 \times 15 \times 24 \times 35 \times 48 \times 63 \times 80 \times 99}{4 \times 9 \times 16 \times 25 \times 49 \times 64 \times 81 \times 100} \\ \implies \sf \frac{7333035494400}{11732856791040} \ \sf \\ \implies \sf \: 0.625\)

Answer:

∠KNM is congruent to ∠KLM

Answer:

minor arc DE: (23/9)π

Major arc DGE:(49/9)π

Step-by-step explanation:

This is a simple problem.

First solve the circumference of the circle: 2π (4).

then use the length formula

L=(x*c)/360

and then plug in, so first we use 115 as x(which is degrees) to find de

so

L = (115* 2π (4))/360

and you will get (23/9)π

To get the major arc you have to get the outside angle, so 360-115, and you do the same thing but with 245 as x.

Hope this helps and im correct!

The length of BP is 14.4 meters.

To find the length of BP, we can use the property that states that when two chords intersect inside a circle, the product of the segment lengths on one chord is equal to the product of the segment lengths on the other chord.

Using this property, we can set up the equation:

AP * PC = BP * DP

Substituting the given values:

12 m * 6 m = BP * 5 m

Simplifying:

72 m^2 = BP * 5 m

To solve for BP, divide both sides of the equation by 5 m:

72 m^2 / 5 m = BP

Simplifying:

14.4 m = BP

Therefore, the length of BP is 14.4 meters.

To know more about length,

https://brainly.com/question/32191269

#SPJ11

The vector parameterization for the line passing through the points (1, 1, -1) and (6, -9, 4) is:

x = 1 + 5t

y = 1 - 10t

z = -1 + 5t

To find a vector parameterization for the line passing through the points (1, 1, -1) and (6, -9, 4), we can use the vector equation of a line:

r = a + t * d

where r is the position vector of any point on the line, a is a known point on the line, t is a parameter, and d is the direction vector of the line.

First, let's find the direction vector d. We can subtract the coordinates of the two points to obtain the direction vector:

d = (6, -9, 4) - (1, 1, -1)

= (5, -10, 5)

Now, we can choose one of the given points, say (1, 1, -1), as our known point a.

Substituting these values into the vector equation, we have:

r = (1, 1, -1) + t * (5, -10, 5)

So, the vector parameterization for the line passing through the points (1, 1, -1) and (6, -9, 4) is:

x = 1 + 5t

y = 1 - 10t

z = -1 + 5t

where t is a real number that can vary to give different points along the line.

learn more about parameterization here

https://brainly.com/question/14762616

#SPJ11

Answer: The translation used to create the image is 2 units to the right and 2 units up.

Step-by-step explanation: To determine the translation used to create the image, you need to compare the original figure to the image on the graph. Look at the direction and distance that the figure moved. Then, describe the movement using the words "up", "down", "left", "right", and "units".

The values of A, B and C of the given quadratic equation area;

A = -3

B = -2

C = 2

The domain of a function is the set of all input values for which the function is possible while the range is defined as the set of output values for which the function has given domains.

Now, we are given the quadratic function as:

y = 2x³ - 3x² - 2

At x = 1, we ahve:

A = 2(1)³ - 3(1)² - 2

A = -3

At x = 0, we have:

B = 2(0)³ - 3(0)² - 2

B = -2

At x = 2, we have:

C = 2(2)³ - 3(2)² - 2

C = 2

Read more about Quadratic equation at: https://brainly.com/question/1214333

#SPJ1

Answer:

1/125

Step-by-step explanation:

Answer:

here

Step-by-step explanation:

Answer:

A) (6π + 10) m2

Step-by-step explanation: