from the top of a building 10m high the angle of depression of a stone lying on the horizontal ground is 60° . calculate the distance of the stone from the foot of the building​

Answers

Answer 1

Answer:

14.29cm

Step-by-step explanation:

Height of the building=10cm

Angle of depression=60°

We are therefore asked to find the distance from the stone to the

the foot of the building;Therefore we use Tan ratio which is opp/adj;

Let the distance from the stone to the foot of the building be x;

10/x=Tan60°

10/x=1.7/1

We then cross multiply to get 1.7x=10

x=10/1.7

=10*10/1.7*10

=100/17

=14.29cm.


Related Questions

The table shows the cost, C, in dollars, to rent a car from Carl's Car Rentals. Determine the following: a) What is the fixed cost? b) What is the variable cost? c) Write an equation relating your answer from part (a) and part (b) [be sure to use the variables stated in the table]. d) What kind of variation is this relationship showing? e) Calculate the cost of renting a car for a day and driving a total of 800km.

Answers

Answer:

a) Fixed cost = $50

b) Total variable cost is $15, while variable cost per unit is $0.15.

c) C = 50 + d0.15

d) Direct variation

e) The cost of renting a car for a day and driving a total of 800km is $170,

Step-by-step explanation:

a) What is the fixed cost?

Fixed cost is a cost that does not change with the level of activity. Fixed is incurred whether there is an activity, or there is no activity at all, that is, when the activity is zero.

Since cost, C, is equal to $50 when distance, d (km), is equal to zero in the table, the fixed cost is therefore equal to $50, i.e.:

Fixed cost = $50

b) What is the variable cost?

Variable cost is a cost that changes as the level of activity changes. From the table, the variable cost can be obtained by deducting the fixed cost from the total cost. This can be calculated using any of the distance, d (km), in the table.

Using the distance of 100 as an example, the total variable cost can be obtained as follows:

Variable cost = Total Cost at 100 distance - Fixed cost = $65 - $50 = $15

Note that variable cost per distance at 100 distance can be obtained as follows:

Variable cost per distance = $15 / 100 = $0.15

c) Write an equation relating your answer from part (a) and part (b)

Since,

C = Cost

d = distance (km)

Fixed cost = $50

Variable cost per distance = $0.15

Therefore, suppressing the dollar sign for simplicity purpose, an equation relating the above can be given as follows:

C = 50 + d0.15 ............................................. (1)

d) What kind of variation is this relationship showing?

This is a direct variation.

Direct variation is a variation in which an increase in one variable will lead to an increase in another variable.

For example in equation (1), a increase in d which is multiplied by $0.15 will lead to an increase in C.

e) Calculate the cost of renting a car for a day and driving a total of 800km.

This implies that d = 800.

Substituting d = 800 into equation (1), we have:

C = 50 + (800 * 0.15) = 170

Therefore, the cost of renting a car for a day and driving a total of 800km is $170.

What is the second step when evaluating the expression 49 + 63 ÷ (3 + 2 × 2) – 7? 63 ÷ 3 63 ÷ 7 2 × 2 3 + 4

Answers

ANSWER: Multiply and Divide from left to right

To do this question we must follow the rules of PEMDAS. The first step would be to evaluate the equation given to us in the parentheses. To solve that we would have to use PEMDAS once again which tells us to multiply 2 x 2 before we add 3, so we get 7. Now that there is no more Parentheses, our second step is to evaluate each Multiplication and Division expression from left to right. This would start by dividing 63 by 7 to get 9.

4x + 12 = 20y Solve for x.

Answers

Answer:

x=5y-3

Step-by-step explanation:

[tex]4x+12=20y\\4x=20y-12\\x=\frac{20y-12}{4} \\x=\frac{20y}{4}- \frac{12}{4} \\x=5y-3[/tex]

A swimming pool is circular with a 30-ft diameter. The depth is constant along east-west lines and increases linearly from 2 ft at the south end to 7 ft at the north end. Find the volume of water in the pool. (Round your answer to the nearest whole number.) ft3

Answers

Answer:

Volume of water in the pool is 3,182 ft^3

Step-by-step explanation:

In this question, what we want to calculate is the volume of water in the pool.

We proceed as follows;

diameter of pool = 30ft

depth: 2 to 7ft linearly

average depth = (2 + 7)/2 = 9/2 = 4.5 ft

Volume = area * average depth

V = pi * radius^2 * 4.5

where radius = diameter/2 = 30/2 = 15 ft

V = pi * 15^2 * 4.5

V = 22/7 * 225 * 4.5

V = 3,182.14 ft^3

which is 3,182 ft^3 to nearest whole number

The volume of water in the pool is; Volume = 3181 ft³

We are given;

Diameter of swimming Pool; d = 30 ft

Thus; radius; r = d/2 = 30/2 = 15 ft

We are told that the depth is constant along east-west lines and increases linearly from 2 ft at the south end to 7 ft at the north end.

Thus, average depth is;

h_avg = (2 + 7)/2

h_avg = 4.5 ft

Formula for area is; A = πr²

Thus;

A = π × 15²

A = 225π

Formula for volume here is;

Volume = Area × depth

Volume = 225π × 4.5

Volume = 3180.86 ft³

Approximating to a whole number gives;

Volume = 3181 ft³

Read more at; https://brainly.com/question/15276135

Approximate the stationary matrix S for the transition matrix P by computing powers of the transition matrix P.
P = [0.31 0.69
0.18 0.82]
P^4 = ______
(Type an integer or decimal for each matrix element. Round to four decimal places as needed.)
Continue taking powers of P until S can be determined
S = ______
(Type an integer or decimal for each matrix element. Round to four decimal places as needed.)

Answers

Answer:

S = [0.2069,0.7931]

Step-by-step explanation:

Transition Matrix:

[tex]P=\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]

Stationary matrix S for the transition matrix P is obtained by computing powers of the transition matrix P ( k powers ) until all the two rows of transition matrix p are equal or identical.

Transition matrix P raised to the power 2 (at k = 2)

[tex]P^{2} =\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]

[tex]P^{2} =\left[\begin{array}{ccc}0.2203&0.7797\\0.2034&0.7966\end{array}\right][/tex]

Transition matrix P raised to the power 3 (at k = 3)

[tex]P^{3} =\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right]X\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]

[tex]P^{3} =\left[\begin{array}{ccc}0.2203&0.7797\\0.2034&0.7966\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]

  [tex]P^{3} =\left[\begin{array}{ccc}0.2086&0.7914\\0.2064&0.7936\end{array}\right][/tex]

Transition matrix P raised to the power 4 (at k = 4)

[tex]P^{4} =\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right]X\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right]X\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]

[tex]P^{4} =\left[\begin{array}{ccc}0.2086&0.7914\\0.2064&0.7936\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]

[tex]P^{4} =\left[\begin{array}{ccc}0.2071&0.7929\\0.2068&0.7932\end{array}\right][/tex]

Transition matrix P raised to the power 5 (at k = 5)

[tex]P^{5} =\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right]X\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right]X\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right]X\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]

[tex]P^{5} =\left[\begin{array}{ccc}0.2071&0.7929\\0.2068&0.7932\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]

[tex]P^{5} =\left[\begin{array}{ccc}0.2069&0.7931\\0.2069&0.7931\end{array}\right][/tex]

P⁵ at k = 5 both the rows identical. Hence the stationary matrix S is:

S = [ 0.2069 , 0.7931 ]

Solve: 5x=110. (Round to three decimal places.)

Answers

Hey there! Welcome to Brainly! I'm happy to help!

In equations, letters like x or y are called variables. They represent a number that we do not know yet, or they can almost be seen as a question mark in an equation. For example, 1+?=2. We know that this ? represents the number 1, and the same would go if you put a variable in there. If you have 1+x=2, you can figure out that x=1!

Our equation is 5x=110. When you see a number next to a variable, that number is called the coefficient. It is a number that multiplies a variable. So, our coefficient is 5. This means that five is multiplied by x to equal 110.

5·x=110

What if we don't know off the top of our heads what we multiply 5 by to get to 110? It was easy with 1+1=2, but this is trickier. Here's how to figure it out.

We want to get the x all by itself on one side of the equation. Then, we will see what x equals.

To do this, we use inverse operations. I will show you below with our 1+x=2 example.

1+x=2

We have a positive one plus an x equals two. We could visualize this like this.

+1+x=2

What we want to do is move the 1 to the other side of the equation so that x is by itself. So, what's the opposite of adding? Subtracting!

However, we don't just subtract the 1 from the left side, but we do it from the right side! You have to do the inverse operation on both sides to find the answer.

So, let's subtract 1 from both sides.

+1+x-1=2-1

x=1

We see that x equals 1, and if we plug this into the equation 1+x=2, we see that it is correct.

Now, with our problem, we need to divide, because that is the opposite of multiplication. We need to divide both sides by 5 to isolate the x. Let's do it!

5x÷5=110÷5

x=22

We see that 5×22 is equal to 110, so this is correct! Now you can solve for variables in equations!

Have a wonderful day!

think about whether the diagram represents a function.

Answers

Step-by-step explanation:

im sorry but i need more info or a picture or something to actually anwser the question...

Which statement best explains the relationship between lines PQ and RS? They are parallel because their slopes are equal. They are parallel because their slopes are negative reciprocals. They are not parallel because their slopes are not equal. They are not parallel because their slopes are negative reciprocals.

Answers

Answer:

They are not parallel because their slopes are not equal

Step-by-step explanation:

From the diagram attached, The line PQ has point P at (-5, 3) and point Q at (5, 1).

For line RS, point R is at (-4, -2) and point S is at (0, -4).

Two lines AB and CD are said to be parallel to each other if they have the same slope, i.e if the slope of AB is m1 and the slope of CD is m2, m1 = m2. When two lines are parallel, they can never intersect.

The slope (m) of of a line given two points on the line is calculated using:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For line PQ has point P at (-5, 3) and point Q at (5, 1), the slope is given as:

[tex]m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{1-3}{5-(-5)}=-\frac{1}{5}\\[/tex]

For line RS, point R is at (-4, -2) and point S is at (0, -4), the slope is given as:

[tex]m_2=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-(-2)}{0-(-2)}=-1[/tex]

Since the slope of PQ (-1/5) and the slope of line RS (-1)  are not equal, therefore the lines are not parallel

Answer:

They are not parallel because their slopes are not equal.

Step-by-step explanation:

The first person to answer this was correct, please mark them brainliest.

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. 4y2 + 25y + 6

Answers

Answer:

  (4y +1)(y +6)

Step-by-step explanation:

We can rewrite the middle term and factor by grouping.

  4y^2 + 25y + 6 = (4y^2 +24y) +(y +6)

  = 4y(y +6) +1(y +6)

  = (4y +1)(y +6)

Question 1 (10 points). (a) Explain the difference between linear and logistic regression. (Explain at least two differences and one similarity in detail). (b) Give an example of a modeling problem (ie, using X to predict Y, where X and Y are real life examples) for each type.

Answers

Answer:

(a) Linear regression is used to estimate dependent variable which is continuous by using a independent variable set. Logistic regression we predict the dependent variable which is categorical using a set of independent variables.

(b) Finding the relationship between the Number of doors in the house vs the number of openings. Suppose that the number of door is a dependent variable X and the number of openings is an independent variable Y.

Step-by-step explanation:

(a) Linear regression is used to estimate dependent variable which is continuous by using a independent variable set .whereas In the logistic regression we predict the dependent variable which is categorical using a set of independent variables. Linear regression is regression problem solving method while logistic regression is having use for solving the classification problem.

(b) Example: Finding the relationship between the Number of doors in the house vs the number of openings. Suppose that the number of door is a dependent variable X and the number of openings is an independent variable Y.

If I am to predict that increasing or reducing the X will have an effect on the input variable X or by how much we will make a regression to find the variance that define the relationship or strong relationship status between them. I will run the regression on any computing software and check the stats result to measure the relationship and plots.

What the answer fast

Answers

Answer:

72

Step-by-step explanation:

36+36=72

36 + 36 = 72.

The Answer is 72.

What are the positive and negative square roots of 1?

Answers

Answer:

Positive is 1

Negative is-1

Step-by-step explanation:

which formulas can be used to find the surface area of a regular pyramid where p is the perimeter of the base, s is the slant height, BA is the base area, and LA is the lateral area click all that apply options: A. SA= 1/2BA + 1/2ps B. SA= BA-LA C. SA= BA+LA D. SA= BA • LA E. SA= BA + 1/2ps

Answers

Answer:

C and E

Step-by-step explanation:

He got it on ap.ex

The area of the pyramid can be found using the formula SA = BA + LA and SA= BA + 1/2ps option (C) and (E) are correct.

What is a square pyramid?

In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the center of the square.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a pyramid with a square base:

The perimeter of the base is p

The slant height is s.

The base area is BA

The lateral area is LA.

We can find the area of the pyramid as follows:

SA = BA + LA

SA= BA + 1/2ps

Thus, the area of the pyramid can be found using the formula SA = BA + LA and SA= BA + 1/2ps option (C) and (E) are correct.

Learn more about the pyramid here:

brainly.com/question/13057463

#SPJ5

PLEASE HELP!!! Select the three statements that give benefits of having a savings account. A. When I withdraw money from my savings account too many times, I can be charged a fee. B. When I put money in a savings account, the bank will pay me interest. C. If there were an emergency, I would have the money to cover expenses. D.When I use a savings account, my money is insured by the FDIC up to $250,000.

Answers

Answer:

answer is B

Step-by-step explanation:


9. Express 400cm3 as a fraction of 2 litres
in the lowest form. *
options

1/10
1/5
2/5​

Answers

Answer:

[tex]\boxed{\red{\frac{1}{5} }}[/tex]

Step-by-step explanation:

[tex]400 {cm}^{3} = 400ml \\ 2l = 2000ml[/tex]

So, now we have to write 400cm^3 as a fraction of 2l

[tex] \frac{400}{2000} = \frac{4}{20} = \frac{1}{5} [/tex]

Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to approximate the sum of the series with an error of less than 0.0001.

Answers

Answer:

yeyyyaya

Step-by-step explanation:

Thank you for the help!!

Answers

Answer:

B. 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

You know that the empty barrel is 1/4 of the full barrel. Find 1/4 of 20 to get 0.25 x 20 = 5

can some one plz help me Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 4.

Answers

One of the equations of ellipse is in a form of the lengths of its axes. If we have the length of its major axis as 2a and the length of its minor axis as 2b then, the values of a and b are,

     2a = 16,   a = 16/2 = 8

     2b = 4,     b = 4/2 = 2

Given that we have the major axis as vertical, the equation for ellipse is,

       y²/a² + x²/b² = 1

Substituting,

      y²/8² + x²/2² = 1

Simplifying,

     y² + 16x² = 1

Answer: y² + 16x² = 1

Hope this helped and if it did please give me brainliest, it will help me a lot. :)

Have a good day!

Find the area under the standard normal curve between z=−0.89 and z=2.56. Round your answer to four decimal places, if necessary.

Answers

Answer:

  0.8080

Step-by-step explanation:

A suitable probability calculator gives that area as 0.8080.

I need help with this quickly, it would be very much appreciated.

Answers

Answer:

complementary because 2 angles that add up to 90º is a complementary angle and x=9 :)

Step-by-step explanation:

90=46+5x-1

45=5x

x=9

Answer:

x = 9 Complementary

Step-by-step explanation:

The angles are compplementary cause the angle add up to 90°

Well to find x we need to make the following equation,

46 + (5x - 1) = 90

We need to simplify and combine like terms,

46 - 1 = 45

45 + 5x = 90

-45 to both sides

5x = 45

Divide 5 by both sides

x = 9

Thus,

x is 9.

Hope this helps :)

which of the following is the correct graph of the linear equation below? y+3=-2/3(x-4)

Answers

Answer:

see details.

Step-by-step explanation:

Graphs from question not yet uploaded, so read attached graph to make a match.

Find the probability of each event. A basketball player has a 50% chance of making each free throw. What is the probability that the player makes at least seven out of eight free throws?

Answers

Hey there! I'm happy to help!

We want to find the probability that the player makes at least seven out of eight free throws. First, we find the probability of them making seven free throws.

[tex]\frac{1}{2}^7=\frac{1}{128}[/tex]

Then, we find the probability of them making eight, which is another possibility that fits this.

[tex]\frac{1}{2}^8=\frac{1}{256}[/tex]

Now, we add the probability of these two events happening.

[tex]\frac{1}{128}+\frac{1}{256}=\frac{3}{256}[/tex]

Therefore, the probability that the player makes at least seven of eight free throws is 3/256 or about 1.17%

Have a wonderful day! :D

. (08.03 LC) Determine the factors of x2 − 12x − 20. (5 points) (x − 2)(x + 10) (x − 10)(x + 2) (x − 5)(x + 4) Prime

Answers

Answer:

prime

Step-by-step explanation:

We're looking for 2 numbers with a sum of -12 and product of -20 but unfortunately there aren't any numbers that do so, therefore the answer is prime.

Answer:

Prime

Step-by-step explanation:

In general, what would every child function have in common with the parent function f (x)= x?​

Answers

Step-by-step explanation:

If f(x) =x, is the father function, then all it's child function would be equally inclined to x and y-axis respectively.

If f(x) =x, is the father function, then all its child functions would be equally inclined to the x and y-axis respectively.

How is each function in a family related to the parent function?

Each family of capabilities has a determining feature. A discern function is the best function that also satisfies the definition of a certain sort of function. As an instance, whilst we think about the linear capabilities which make up our own family of capabilities, the parent feature could be y = x.

What key attributes are common among parent functions?

Key commonplace points of linear determine features encompass the reality that the equation is y = x. Domain and variety are actual numbers. Slope, or fee of alternate, is steady.

Learn more about parent functions here: https://brainly.com/question/4025726

#SPJ2

Find the value of y........

Answers

Answer:

hope this is right y=74

Step-by-step explanation:

have not done this since two years ago so...

but anyway 148-180 = 32

32 is that angle

if this were a right triangle my answer would be different but 148/2 still completes this triangle and somewhat makes sense.

The correct answer is 90.

What is the GIM of a strip mall with annual income of $547,500 and a value of $6,345,000?

Answers

Answer:

11.6

Step-by-step explanation:

GIM means Gross Income Multiplier and it is a method used for valuating a property or an investment. It is expressed mathematically as the ratio of the property's value/sales price and its gross annual income.

GIM = Value of an investment/Gross annual income.

Given the annual income = $547,500 and Value =  $6,345,000;

GIM =  $6,345,000/$547,500

GIM = 11.589

GIM ≈ 11.6

Hence, the Gross Income Multiplier  of the strip mall is approximately 11.6.

GIM has no units.

The grade point average collected from a random sample of 150 students. Assume that the population standard deviation is 0.78. Find the margin of error if cequals0.98.

Answers

Answer:

15%

Step-by-step explanation:

To calculate the margin of error, we can adopt this formula

Margin of error = critical value* (standard deviation/sqrt of sample size)

Where critical value is 2.33, sd is 0.78 and sample size is150.

Thus, we have:

Margin of error = 2.33*(0.78/√150)

Margin of error = 2.33*(0.78/12.2474)

Margin of error =2.33*0.06369

Margin of error = 0.1484 which is a 15% margin of error

which linear inequality is represented by the graph ​

Answers

y > 2x + 1

The slope is up 2 over 1 which gives you a slope of 2. The line is up 1 which gives you a y intercept of 1.

Hope this helps!

Answer:

y > 2x + 1

Step-by-step explanation:

(1 is the y intercept) 2/1 is the gradient so 2 up and 1 across

find dy/dx if x=at⁴, y = at³

Answers

Answer:

The answer for dy/dx is 3/4t .

Step-by-step explanation:

First, you have to differentiate x and y expressions in term of t :

[tex]x = a {t}^{4} [/tex]

[tex] \frac{dx}{dt} = 4a {t}^{3} [/tex]

[tex]y = a {t}^{3} [/tex]

[tex] \frac{dy}{dt} = 3a {t}^{2} [/tex]

Next, we can assume that dy/dt ÷ dx/dt = dy/dx. So we have to substitute the expressions :

[tex] \frac{dy}{dt} \div \frac{dx}{dt} = \frac{dy}{dt} \times \frac{dt}{dx} = \frac{dy}{dx} [/tex]

[tex] \frac{dy}{dx} = 3a {t}^{2} \div 4a {t}^{3} [/tex]

[tex] \frac{dy}{dx} = 3a {t}^{2} \times \frac{1}{4a {t}^{3} } [/tex]

[tex] \frac{dy}{dx} = \frac{3}{4t} [/tex]

There are 4 red balls and 6 green balls in a bag.
You reach in the bag and take out 3 balls without looking.
What is the probability that all three of the balls you take out are red?

Answers

Answer:

[tex]\frac{1}{30}[/tex]

Step-by-step explanation:

From the question, in the bag there are;

4 red balls

6 green balls

10 balls in total.

Now, reaching in the bag and taking out 3 balls without looking, the probability that all three balls are red, can be analyzed as follows;

All three red means;

The first ball is red,

The second ball is red and;

The third ball is red.

i. First you take out a ball from a total of 10 balls. The probability P⁰(R) of having a red ball is given as;

P⁰(R) = [tex]\frac{possible-space}{total-space}[/tex]

Since there are 4 red balls, the possible-space is 4

Also, since there are a total of 10 balls, the total-space is 10

P⁰(R) = [tex]\frac{4}{10} = \frac{2}{5}[/tex]

ii. Secondly, you take out a ball from a remaining total of 9 balls. The probability P¹(R) of still having a red ball is given as;

P¹(R) = [tex]\frac{possible-space}{total-space}[/tex]

Since there are 3 red balls remaining, the possible-space is 3

Also, since there are a remaining total of 9 balls, the total-space is 9

P¹(R) = [tex]\frac{3}{9} = \frac{1}{3}[/tex]

iii. Thirdly, you take out a ball from a remaining total of 8 balls. The probability P²(R) of still having a red ball is given as;

P²(R) = [tex]\frac{possible-space}{total-space}[/tex]

Since there are 2 red balls remaining, the possible-space is 2

Also, since there are a remaining total of 8 balls, the total-space is 8

P²(R) = [tex]\frac{2}{8} = \frac{1}{4}[/tex]

Therefore, the probability P(R) of taking out three red balls without looking is given by the product of the probabilities described above. i.e

P(R) = P⁰(R) x P¹(R) x P²(R)

P(R) = [tex]\frac{2}{5} * \frac{1}{3} * \frac{1}{4} = \frac{1}{30}[/tex]

Other Questions
Para is used to mean _____. A volume of 30.0 mL of a 0.140 M HNO3 solution is titrated with 0.570 M KOH. Calculate the volume of KOH required to reach the equivalence point. when was nepal declared as a republic country write full date in nepali Determine the measure of the unknown variables Which claim is the most effective for the argument that the minimum age to get a drivers license should be changed to 18? Some 16-year-olds help out by driving their younger siblings to school, so changing the minimum driving age to 18 would be a problem for them. Some 16-year-olds are mature enough to drive, but changing the minimum driving age to 18 would be an overall benefit for everyone. Changing the minimum driving age to 18 would mean safer roads for everyone, since less-experienced drivers are more likely to have accidents. Changing the minimum driving age to 18 shouldnt cause too much of a problem, because its only two years older than 16. What is the energy change associated with 1.5 mole of D being formed? jake buys a new car for $18,259. each year x after he buys the car, its value y depreciates by $445. which equation models the relationship between x and y?A. y=445x + 18,259B. y= -445x + 18,259C. y= 445x - 18,259D. y= -445x - 18,259 Increase in Space Suit Pressure 0.0/3.0 points (graded) If the pressure in a space suit increases, how will each of the following be affected? Flexilibity will: Increase Decrease Stay the same unanswered The required pre-breathe time will: Increase Decrease Stay the same unanswered The mass of the suit will: Increase Decrease Stay the same What are the solutions to the quadratic equation 2x2 + 10x - 48 = 0? John has 14 boxes of apples. Each box holds 12 apples. If 6 of the boxes are full, and 8 of the boxes are half full, how many apples does John have? Which of the following shows the true solution to the logarithmic equation 3 log Subscript 2 Baseline (2 x) = 3 x = negative 1 x = 1 x = negative 1 and x = 1 x = 0, x = negative 1, and x = 1 Find the net work W done on the particle by the external forces during the motion of the particle in terms of the initial and final kinetic energies. Express your answer in terms of Ki and Kf. Use multiplication to solve the proportion w/4 = 42/24 Suppose you are testing a new amusement park roller coaster with an empty car with a mass of 100 kg. One part of the track is a vertical loop with a radius of 12.0 m. At the bottom of the loop (point A), the car has a speed of 25.0 m/s and at the top of the loop (point B), it has a speed of 8.00 m/s. As the car rolls from point A to point B, how much work is done by friction? Use 9.81 m/s2 for the acceleration due to gravity. You deposit $4000 in an account earning 4% interest compounded monthly. How much will you have in the account in 5years? Yolanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Yolanda $5.20 per pound, and type B coffee costs $4.05 perpound. This month, Yolanda made 130 pounds of the blend, for a total cost of $586.30. How many pounds of type B coffee did she use? Cull Corporation uses a job-order costing system with a single plantwide predetermined overhead rate based on machine-hours. The company based its predetermined overhead rate for the current year on total fixed manufacturing overhead cost of $465,000, variable manufacturing overhead of $2.10 per machine-hour, and 75,000 machine-hours. The company has provided the following data concerning Job X455 which was recently completed: Number of units in the job 10 Total machine-hours 80 Direct materials $ 750 Direct labor cost $ 1,500 If the company marks up its unit product costs by 20% then the selling price for a unit in Job X455 is closest to: (Round your intermediate calculations to 2 decimal places.) Multiple Marcy is given her choice of two Hershey bars, one of which has been broken into four pieces, and one that is intact; Marcy chooses the broken candy bar, believing that it has more candy. According to Piaget, Marcy is having problems with what concept -101 2 3 f() -2-1 -1/2-1/4-1/8 -9/4 -7/12 12/7 7/12 Given the following table,fine the rate of change between f(-1) and f(2). 5t - 3 = 3t - 5 : solve