Consider this expression (which is written in prefix notation): u/ v + % w x y z Assuming that +,,, and % are all binary operators, which one of (a), (b), (c), (d), and (e) below is a correct way to write the above expression in postfix notation? Circle the only correct answer.
(d)/y % xwvu
(a) u v w x % y + / z- (b) - u/v+% w x y z (c) zyxw% +/- (e) u v w x y + % /z-
8. When reading the infix notation expressions in this question you should assume that, as in Java, the binary,/, and % operators all belong to one precedence class, the binary + and -operators both belong to a second precedence class, both of these precedence classes are left-associative, and + and have lower precedence than *, /, and %.
(i)[1 pt.] Consider this infix expression: -v / w % (x + y) = Which operator is the root of the abstract syntax tree of the expression?
Circle the answer:
(a)-
(b) /
(c)%
(d) +
(e)
(ii)[1 pt.] Consider this infix expression: u-v / (w % x) + y z Which operator is the root of the abstract syntax tree of the expression?

Answer:

A. 5cm, 6cm, 7cm

Step-by-step explanation:

The approximate area between y=3x^(2)+1 and the x-axis on the interval -1 to 5 is 136.6875.

We can approximate the area between y=3x^(2)+1 and the x-axis on the interval -1 to 5 using a Riemann sum with 4 rectangles of equal width. The left-hand endpoint of each subinterval will be used.

The width of each rectangle is the length of the interval (5-(-1)) divided by the number of rectangles (4). Therefore, the width of each rectangle is

(5-(-1))/4 = 6/4 = 1.5.

Since we are using the left-hand endpoint of each subinterval, the x-values of the left-hand endpoints of the rectangles are

-1, -1+1.5

-1+1.5+1.5

-1+1.5+1.5+1.5 = -1+4.5=3.5

The height of each rectangle is determined by the value of y at the corresponding x-value.

Therefore, the heights of the rectangles are

3(-1)^2+1=2

3(-1+1.5)^2+1=7.125

3(3.5)^2+1=35.125

3(3.5+1.5)^2+1=46.875

The area of each rectangle is the product of its width and height, so the areas of the rectangles are

2*1.5=3

7.125*1.5=10.6875

35.125*1.5=52.6875

46.875*1.5=70.3125.

Therefore, the approximate area between y=3x^(2)+1 and the x-axis on the interval -1 to 5 is 136.6875.

Learn more about Riemann sum here:

https://brainly.com/question/28969415

#SPJ4

a) The set {1, 2, 3} does not represent vectors, but rather a collection of scalars. Therefore, there are no vectors in {1, 2, 3}.

b) The number of vectors in "col a" cannot be determined without additional context or information. "Col a" could refer to a column vector or a collection of vectors associated with a variable "a," but without further details, the exact number of vectors in "col a" cannot be determined.

c) Without knowing the specific context of "p" and "col a," it is impossible to determine if "p" is in "col a." The inclusion of "p" in "col a" would depend on the definition and properties of "col a" and the specific value of "p."

To learn more about  vectors click here:

brainly.com/question/30906184

#SPJ11

Answer:

No

Step-by-step explanation:

The tangent line must form a right angle with the radius

No, 4 5 6 isn't a right triangle

Answer:

Line m is not a tangent line to circle B.

Step-by-step explanation:

The tangent line to a circle is always perpendicular to the radius.

The line segment measuring 4 units is the radius of Circle B, therefore if line m is a tangent line to the circle, the angle between this segment and the segment measuring 5 units will be a right angle (90°).

We can use Pythagoras' Theorem to check if the triangle is a right triangle.

Pythagoras’ Theorem:  \(a^2+b^2=c^2\)

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Therefore, the legs are the line segments measuring 4 and 5, and the hypotenuse is the line segment measuring 6 units.

Substituting the values for the legs into the formula:

\(\implies 4^2+5^2=c^2\)

\(\implies 16+25=c^2\)

\(\implies 41=c^2\)

\(\implies c=\sqrt{41}\)

Therefore, as the hypotenuse of the triangle is not √41, the triangle is not a right triangle, and therefore line m is not a tangent line to circle B.

Given that sin(x) = -5/13 and the condition is to provide the answer without using sin, cos, or tan, I assume you are looking for the value of cos(x).

We can use the Pythagorean identity: sin²(x) + cos²(x) = 1

Substitute the given value of sin(x):
(-5/13)² + cos²(x) = 1

Solve for cos²(x):
cos²(x) = 1 - (-5/13)²

cos²(x) = 1 - (25/169)

Now find the common denominator (169) and subtract:
cos²(x) = (169/169) - (25/169)

cos²(x) = 144/169

Since we need the value of cos(x), we take the square root of both sides:
cos(x) = ±√(144/169)

cos(x) = ±12/13

Since the value of sin(x) is negative, we are in the third or fourth quadrant, where the cosine is also negative. Therefore, we choose the negative value for cos(x):

cos(x) = -12/13

Visit here to learn more about sin brainly.com/question/19213118

#SPJ11

Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

It is true that the A shift is a type of permutation where elements in a sequence or set are moved to the right or left by a certain number of positions.

For example, shifting the sequence (1,2,3,4,5) to the right by 2 positions would result in the sequence (4,5,1,2,3). This can be represented mathematically as (1,2,3,4,5) → (4,5,1,2,3), which is a permutation of the original sequence. Shifts can be useful in various applications, such as cryptography or data compression, where rearranging elements in a sequence can improve efficiency or security.

True. A shift is a specific type of permutation. In general, a permutation refers to the arrangement of objects in a particular order. A shift, also known as a cyclic permutation, involves moving elements of a set in a fixed direction, such that the order is maintained, but the elements change positions. In a shift, the first element moves to the last position, while all other elements move one position forward. This maintains the relative order of the elements and results in a new arrangement. Therefore, a shift is a type of permutation, as it represents an altered ordering of the elements in a set.

Visit here to learn more about permutation  :  https://brainly.com/question/30557698
#SPJ11

(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

Learn more about line tangent: brainly.com/question/30162650

#SPJ11

The volume of the graphed cylinder is given as follows:

V = 3140 ft³.

The volume of a cylinder of radius r and height h is given by the equation presented as follows:

V = πr²h.

The parameters for this problem are given as follows:

Then the volume of the cylinder, considering π = 3.14, is obtained as follows:

V = 3.14 x 10² x 10

V = 3140 ft³.

Which is the third option among those given in the problem.

More can be learned about the volume of a cylinder at brainly.com/question/9554871

#SPJ1

The new wage is £11.1

From the question, we have the following parameters that can be used in our computation:

Old wage = £10

Increase = 11%

The new wage is calculated as

New wage = Old wage  * (1 + Old wage)

Substitute the known values in the above equation, so, we have the following representation

New wage = £10 * (1 + 11%)

So, we have

New wage = £11.1

From the question, we have the following parameters that can be used in our computation:

Old price = £35

Decrease = 17%

The new price is calculated as

New price = Old price * (1 - Decrease)

Substitute the known values in the above equation, so, we have the following representation

New price = £35 * (1 -17%)

So, we have

New price = £29.05

Here, we have

Old distance = x

Improvement = 19%

The new price is calculated as

New distance = Old distance * (1 + Improvement)

Substitute the known values in the above equation, so, we have the following representation

New distance = x * (1 + 19%)

So, we have

New distance = 1.19x

Read more about percentage change at

https://brainly.com/question/11360390

#SPJ1

Answer:

no tHank you hope someone can help

Step-by-step explanation:

Answer:

$0.75D ; 10s miles

Step-by-step explanation:

1)

Given that:

List price of phone = $D

Advertised price = 25% off the list price

Hence, sales price of phone :

(100% - 25%) × list price

Sales price = 75% × $D

Sales price = $0.75D

2)

Given that :

Time of travel = 10 hours

Speed of travel = s miles per hour

Total distance traveled = (speed of travel × time of travel)

Total distance traveled = (10 * s) miles

Answer:

B

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

17°

Step-by-step explanation:

6 = 4x

7 = 2x + 34

4x - 2x = 2x

Since 6 and 7 are vertically opposite angles, they have the same angle.

2x = 34

X = 34 ÷ 2 = 17

Step-by-step explanation:

< 6 and < 7 are vertically opposite angles so.

< 6 = < 7

4x = 2x + 34°

4x - 2x = 34°

2x = 34°

x = 17°

Hope it will help :)

The piecewise defined function for fencing the backyard would be 30(300) + 25(x - 300), if x > 300, or 30x, if 0 < x ≤ 300, as seen below.

A piecewise defined function is a function that is defined by different formulas on different intervals or "pieces" of its domain. This means that the formula used to calculate the output (the function value) of the function depends on the value of the input (the independent variable).

For this particular question, let C be the cost of fencing a backyard and let x be the length of the fence in feet. Then, we can write the piecewise defined function as:

C(x) =  30x, if 0 < x ≤ 300 OR

C(x) = 30(300) + 25(x - 300), if x > 300

In other words, if the length of the fence is less than or equal to 300 feet, the cost is simply 30 times the length of the fence. If the length of the fence is greater than 300 feet, the cost is the cost of the first 300 feet (30 times 300), plus 25 times the additional length of the fence beyond 300 feet.

Learn more about piecewise functions here:

https://brainly.com/question/30348444

#SPJ1

The effective cost of borrowing, considering an average collection period of 24 days and factoring receivables immediately at a discount of 1.4 percent, is approximately 19.23%.

To calculate the effective cost of borrowing, we need to consider the discount rate and the average collection period.

The effective annual interest rate (EAR) using the formula:

EAR = (1 + Discount Rate / (1 - Discount Rate))^(365 / Average Collection Period) - 1

Given that the discount rate is 1.4% and the average collection period is 24 days, we can substitute these values into the formula:

EAR = (1 + 0.014 / (1 - 0.014))^(365 / 24) - 1

Calculating this expression gives us:

EAR = (1 + 0.014 / 0.986)^(15.208) - 1

EAR = (1.014 / 0.986)^(15.208) - 1

EAR = 1.028416^(15.208) - 1

EAR ≈ 0.2108 or 21.08% (rounded to two decimal places)

Therefore, the effective cost of borrowing is approximately 21.08%.

The effective annual interest rate (EAR) represents the actual interest rate paid on a loan or borrowed funds, taking into account any associated costs or fees. In this case, the discount rate of 1.4% is the cost of factoring the receivables. By using the formula mentioned above and substituting the given values, we calculate the EAR as approximately 21.08%.

The calculation assumes a 365-day year and considers the fact that the average collection period is 24 days. By compounding the discount rate over the period of one year, we determine the effective cost of borrowing.

Please note that this calculation assumes an extremely low likelihood of default, as stated in the problem. In real-world scenarios, default risks and other factors may affect the actual effective cost of borrowing.

To know more about discount , refer here :

https://brainly.com/question/31870453#

#SPJ11

The equation that correctly depicts the calculation of the expected value for a ticket is: 29,980 * (1/5,000) + 80 * (1/1,000) + (-20) * (2,497/2,500) = E(X).

To calculate the expected value (E(X)) for a ticket, we need to consider the value of each possible outcome and their respective probabilities. In this case, there are two possible outcomes: winning the car (worth $30,000) or winning a $100 gift card (worth $100). The probability of winning the car is 1/5,000, and the probability of winning a gift card is 1/1,000.

To calculate the expected value, we multiply each outcome by its corresponding probability and sum them up. So, we have:

Expected value = (30,000 * (1/5,000)) + (100 * (1/1,000)) + (-20 * (2,497/2,500))

= (30,000/5,000) + (100/1,000) + (-20 * 2,497/2,500)

= 6 + 0.1 + (-19.996)

= -13.896

Therefore, the expected value for a ticket in this raffle is approximately -$13.896.

The expected value of a ticket represents the average amount of money a participant can expect to win or lose per ticket. In this case, the negative expected value suggests that, on average, participants can expect to lose money per ticket they purchase. This is not surprising since the cost of the ticket ($20) is higher than the expected value (-$13.896).

Hence, participants should consider the charitable contribution as their primary motivation for buying tickets, rather than the expectation of winning a prize.

To know more about expected value , visit;
https://brainly.com/question/28197299
#SPJ11

Answer:

It's (B.) on Edge 2023

Step-by-step explanation:

The indifference curve corresponding to this utility function will be convex to the origin. This is because the utility function exhibits diminishing marginal returns for both goods. As the consumer increases the quantity of one good while keeping the other constant, the marginal utility derived from the additional unit of that good decreases. This diminishing marginal utility leads to convex indifference curves, indicating that the consumer is willing to give up larger quantities of one good for small increases in the other good to maintain the same level of satisfaction.

The assumption of 'more is better' is satisfied for both goods in this utility function because as the consumer increases the quantity of either good x or good y, their utility (U) also increases. The positive coefficients of x and y in the utility function indicate that more of each good is preferred.

The marginal rate of substitution (MRS) measures the rate at which a consumer is willing to exchange one good for another while maintaining the same level of utility. In this utility function, the MRSx,y is equal to 1.

The MRSx,y is diminishing in x as the consumer substitutes x for y along an indifference curve. This means that as the consumer increases the quantity of good x, they are willing to give up fewer units of good y to maintain the same level of satisfaction. The diminishing MRSx,y reflects a decreasing willingness to substitute x for y.

Learn more about utility function:

https://brainly.com/question/30652436

#SPJ11

Answer:

72cm^3

Step-by-step explanation:

4 *3=12, 12*6=72

Answer:

72 cm.

Step-by-step explanation:

Multiply the length and width (4 x 3)

Multiply the product of that by the height (12 x 6)

And there you have it, 72 cm as your answer!

According to the statement the distance from the plane to the top of the larger sphere is 3 + 2 = 5 units.

The distance from the plane to the top of the larger sphere can be found by considering the arrangement of the spheres.

We have three smaller spheres of radius 1 that are mutually tangent to each other and the plane.

On top of them, there is a larger sphere of radius 2.
Let's denote the distance from the plane to the center of the larger sphere as h.

Since the spheres are tangent to each other, the distance from the plane to the top of the larger sphere will be equal to the sum of the radii of the smaller spheres (3 x 1 = 3) plus the radius of the larger sphere (2).
Therefore, the distance from the plane to the top of the larger sphere is 3 + 2 = 5 units.

To know more about tangent visit :

https://brainly.com/question/10053881

#SPJ11

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

Know more about factorialhere:

https://brainly.com/question/18270920

#SPJ11

Answer:

the difference between -4 and 1 is 3. distance is always positive.

8 less than 2, is -6. (I'm pretty sure)

13 more than -1 should be 12.

to get 2 add 8. -6+8 is 2.

to get -3 subtract 10 from 7.

Toronto is 12°C cooler than Tokyo.

Step-by-step explanation:

hope this helps

WHAT IS SEQUENCE?

A sequence is a list of numbers arranged in a specific order according to a rule or pattern. Each number in the sequence is called a term. The terms of a sequence can be finite (limited to a certain number of terms) or infinite (continuing indefinitely).

Sequences can be described by explicit formulas or recursive formulas.

The first five terms of the sequence are:

a1 = 0

a2 = 0

a3 = -2/15

a4 = 0

a5 = -2/25

Learn more about sequence here

https://brainly.in/question/3296986

#SPJ1

The approximate volume of the sphere is 6.01 ft³.

A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.

The volume of a sphere is expressed as:

Volume =  (4/3)πr³

Where r is the radius of the sphere and π is the mathematical constant pi (approximately equal to 3.14).

Given that the surface area of the sphere is 16 square feet.

First, we determine the radius r:

Surface area = 4πr²

Hence

16 = 4πr²

Dividing both sides by 4π, we get:

r² = 16/4πr

r = √( 16/4πr )

r = 1.128 ft

Plugging in the value of r that we just found, we get:

Volume =  (4/3)πr³

Volume =  (4/3) × 3.14 × (1.128 ft)³

Volume =  6.01 ft³

Therefore, teh volume is 6.01 ft³.

Learn about volume of hemisphere here: brainly.com/question/22886594

#SPJ1

Answer:

Step-by-step explanation:

1 mile = 2000 steps

An average person has a stride length of approximately 2.1 to 2.5 feet. That means that it takes over 2,000 steps to walk one mile

The equation of the plane passing through the point (2, 8, -5) and containing the line x = 2 - 4t, y = 1 + 2t, z = 3 + 4t is given by 2x - 4y + 8z = -23. To derive this equation, we need to first find a vector parallel to the given line. To do this, we can take the difference of two points that lie on the line. Let us take the points P(2, 1, 3) and Q(2 - 4t, 1 + 2t, 3 + 4t) as our two points. The vector PQ is then given by: PQ = (2 - 4t - 2, 1 + 2t - 1, 3 + 4t - 3) = (-4t, 2t, 4t).

Since the given plane passes through the point (2, 8, -5), we can take the vector from this point to any point on the line, say the point Q, as our normal vector for the plane. This vector is then given by: n = (2 - 4t - 2, 8 - 1, -5 - 3) = (-4t, 7, -8).

Now, using the formula Ax + By + Cz = D for a plane passing through the origin and with a normal vector n = (A, B, C), the equation of the plane is given by A(x - x0) + B(y - y0) + C(z - z0) = 0, where (x0, y0, z0) is any point that lies on the plane.

Substituting A = -4t, B = 7, C = -8, x0 = 2, y0 = 8, z0 = -5 into the above equation, we get: -4t(x - 2) + 7(y - 8) - 8(z + 5) = 0. Simplifying this equation, we get 2x - 4y + 8z = -23, which is the equation of the plane that passes through the point (2, 8, -5) and contains the line x = 2 - 4t, y = 1 + 2t, z = 3 + 4t.

To know more about plane  refer here:

https://brainly.com/question/1962726

#SPJ11

To solve this, we can make a substitution. Let u = 2 − 3x^2. Then, we differentiate both sides with respect to x to find du/dx = -6x.

Solving for dx, we have dx = du / (-6x). Substituting these expressions back into the integral, we get:

∫(x^2 − 3x^2) dx = ∫(x^2 − 3x^2) (du / (-6x))

Next, we simplify the integrand:

= ∫((-2x^2 + 3x^2) du / (6x))

= ∫(x^2 du / 6x)

= (1/6) ∫(x du)

= (1/6) ∫u du

Integrating u with respect to u, we get:

= (1/6) * (u^2 / 2) + C

= (1/12) * u^2 + C

Finally, substituting back u = 2 − 3x^2, we have:

= (1/12) * (2 − 3x^2)^2 + C

= (1/12) * (4 − 12x^2 + 9x^4) + C

Simplifying further, we get the final solution:

= (1/12) * (9x^4 − 12x^2 + 4) + C

This is the integral of x^2 − 3x^2 dx in terms of x.

Learn more about integrand here: brainly.com/question/31963820

#SPJ11

The solution to each of the algebraic expressions are;

1) 4x - 6

2) 3t - 7

3) m + 6

4) 10z + 4

5) 0

6) 8

7) -10c + 20

8) -4w + 4

9) -8y

10) 4u - 7

11) -g - 5

12) -12h - 12

13) 21v + 11

14) -14I

We will solve the algebraic expressions by opening the bracket and collecting like terms to get;

1) (-12x - 8) - (8x + 2)

Opening the brackets gives;

12x - 8x - 8 - 2

= 4x - 6

2) (7t - 3) - (4t + 4)

Opening the brackets gives;
3t - 7

3) (8m + 7) - (7m - 1)

Opening the brackets gives;

(36j - 5) - (-6j + 5)

m + 6

4) (13z - 1) - (3z - 5)

Opening the brackets gives;

10z + 4

5) (-2s + 9) - (-2s + 9)

Opening the brackets gives;

0

6) (4b + 4) - (-4b - 4)

Opening the brackets gives;

4 + 4 = 8

7) (-8c + 15) - (2c + 5)

Opening the brackets gives;

-10c + 20

8) (0w + 7) - (4w + 3)

Opening the brackets gives;

-4w + 4

9) (y - 3) - (9y - 3)

Opening the brackets gives;

-8y

10) (-u - 4) - (5u + 3)

Opening the brackets gives;

4u - 7

11) (6g + 2) - (7g + 7)

Opening the brackets gives;

-g - 5

12) (-9h - 9) - (3h + 3)

-12h - 12

13) (17v + 4) - (-4v - 7)

Opening the brackets gives;

21v + 11

14) (-9l + 9) - (5l - 9)

Opening the brackets gives;

-14I

Read more about Algebraic Expressions at; https://brainly.com/question/4344214

#SPJ1

So the altitude of the pile is increasing at a rate of 8/(45π) feet per minute when the pile is 6 feet high.

Let's call the radius of the conical pile at any given time "r" and the altitude "h". We are given that the altitude is always twice the radius, so we can write:

h = 2r

We are also given that water is pouring from a chute into the pile at a rate of 8 cubic feet per minute. The volume of a cone is given by the formula V = (1/3)πr^2h, so the rate of change of the volume of the pile is:

dV/dt = (1/3)πr^2 dh/dt + (2/3)πrh^2 dr/dt

We want to find the rate at which the altitude is increasing, so we need to solve for dh/dt when h = 6. We can also find r when h = 6 by using the equation h = 2r:

6 = 2r

r = 3

Now we can substitute the values we know into the equation for dV/dt:

8 = (1/3)π(3^2) dh/dt + (2/3)π(3)(6)^2 dr/dt

Simplifying:

8 = 9π dh/dt + 72π dr/dt

We can use the fact that h = 2r to eliminate r from this equation. Taking the derivative of both sides with respect to time:

dh/dt = 2 dr/dt

Now we can substitute this into the equation for dV/dt:

8 = 9π (2 dr/dt) + 72π dr/dt

Simplifying:

8 = 90π dr/dt

Solving for dr/dt:

dr/dt = 8/(90π) = 4/(45π)

Finally, we can use the equation h = 2r to find dh/dt:

dh/dt = 2 dr/dt = 8/(45π)

To know more about altitude,

https://brainly.com/question/28987807

#SPJ11

Answer:

I believe the answer is D.)13 movies per month.

Step-by-step explanation:

Answer:

D. 13 movies per month.

Step-by-step explanation: