Please help me with math problem!! Will give brainliest!! :)

Please Help Me With Math Problem!! Will Give Brainliest!! :)

Answers

Answer 1

The powerline cable diagonal length is 61 feet.

What is Pythagoras theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

Given:

Hypotenuse = x

Base = 50 feet

Perpendicular = 35 feet

Using Pythagoras theorem

H² = P² + B²

H² = 35² + 50²

H² = 1225 + 2500

H² = 3725

H= 61 feet

Hence, the diagonal length is 61 feet.

Learn more about Pythagoras theorem here:

https://brainly.com/question/343682

#SPJ1


Related Questions

eval calculates an expression and puts the resulting ____ into a new or existing field.

Answers

Eval is a function that evaluates an expression and puts the resulting value into a new or existing field.

To calculate the value of an expression using Eval, you must use the correct syntax. The syntax for Eval is Eval(expression, optional_parameter). The expression can take the form of a mathematical equation or a logical expression. For example, if you wanted to calculate the sum of two numbers, you would use the following expression: Eval(A + B). The optional parameter allows you to specify a range of values to evaluate the expression against.

For example, if you wanted to calculate the sum of two numbers within a given range, you would use the following expression: Eval(A + B, range). The range parameter can be used to specify the starting and ending values that the expression should be evaluated against.

Using Eval to calculate an expression is a useful tool for quickly getting the desired value. It is also useful for quickly testing the accuracy of a complex expression before implementing it in your code.

Learn more about range parameter here:

https://brainly.com/question/30096767

#SPJ4

Which system of equations is represented by this graph?

Answers

The system of equations is given by: y = -2/5x +2 and y = -3x - 4.

How is a three-way system of equations solved?

Choose two equation pairs at random from the system. Apply the Addition/Subtraction technique to each pair to remove the same variable. Use the Addition/Subtraction method to solve the two new equations as a system. Reintroduce the solution into one of the original equations and find the third variable there.

equations  is:-

y = -2/5x +2 and y = -3x - 4.

when x=0

y= -2/5(0) +2 = 2

y  = -3(0) - 4= 4

when y=0

0= -2/5x +2

x=.80

0= -3x - 4

x=13.33

so from the above value we come to conclusion that system of equations is given by: y = -2/5x +2 and y = -3x - 4.

To know more about equations visit:-

https://brainly.com/question/12862998

#SPJ1

voter sentiment: one of the questions rasmussen reports included on a 2018 survey of 2.500 likely voters asked if the country is headed in the right direction. representative data are shown in the file rightdirection. a response of yes indicates that the respondent does think the country is headed in the right direction. a response of no indicates that the respondent does not think the country is headed in the right direction. respondents may also give a response of not sure. a. what is the point estimate of the proportion of the population of likely voters who do think that the country is headed in the right direction? b. at 95% confidence, what is the margin of error? c. what is the 95% confidence interval for the proportion of likely voters who do think that the country is headed in the right direction? d. what is the 95% confidence interval for the proportion of likely voters who do not think that the country is headed in the right direction? e. which of the confidence intervals in parts c and d has the smaller margin of error? why?

Answers

Margin of Error is 0.0245, 0.8209 <= p <= 0.8264 and CI in (C) is 0.1291 to 0.1781 and in (d) is 0.8209 to 0.8264.

(a) The point estimate of the proportion of the population of respondents who do think that the country is headed in the right direction is 384 / 2500 = 0.1536.

(b) To find the margin of error for the proportion, we use the formula:

ME = 1.96 * sqrt(p * (1 - p) / n), where p is the point estimate and n is the sample size.

ME = 1.96 * sqrt(0.1536 * (1 - 0.1536) / 2500) = 0.0245

(c) The 95% confidence interval for the proportion of respondents who do think that the country is headed in the right direction is:

0.1536 - 0.0245 <= p <= 0.1536 + 0.0245

0.1291 <= p <= 0.1781

(d) To find the 95% confidence interval for the proportion of respondents who do not think that the country is headed in the right direction, we subtract the proportion from 1:

1 - 0.1536 - 0.0245 <= p <= 1 - 0.1536 + 0.0245

0.8209 <= p <= 0.8264

(e) The confidence interval in part (c) has a smaller margin of error because the sample proportion of respondents who do think that the country is headed in the right direction is closer to 0.5 (the midpoint of the interval) than the sample proportion of respondents who do not think that the country is headed in the right direction.

Confidence interval in part (c): 0.1291 to 0.1781

Confidence interval in part (d): 0.8209 to 0.8264

Therefore, Margin of Error is 0.0245, 0.8209 <= p <= 0.8264 and CI in (C) is 0.1291 to 0.1781 and in (d) is 0.8209 to 0.8264.

To learn more about Confidence interval,

Visit; brainly.com/question/24131141

#SPJ4

Margin of Error is 0.0245, 0.8209 <= p <= 0.8264 and CI in (C) is 0.1291 to 0.1781 and in (d) is 0.8209 to 0.8264.

(a) The point estimate of the proportion of the population of respondents who do think that the country is headed in the right direction is 384 / 2500 = 0.1536.

(b) To find the margin of error for the proportion, we use the formula:

ME = 1.96 * sqrt(p * (1 - p) / n), where p is the point estimate and n is the sample size.

ME = 1.96 * sqrt(0.1536 * (1 - 0.1536) / 2500) = 0.0245

(c) The 95% confidence interval for the proportion of respondents who do think that the country is headed in the right direction is:

0.1536 - 0.0245 <= p <= 0.1536 + 0.0245

0.1291 <= p <= 0.1781

(d) To find the 95% confidence interval for the proportion of respondents who do not think that the country is headed in the right direction, we subtract the proportion from 1:

1 - 0.1536 - 0.0245 <= p <= 1 - 0.1536 + 0.0245

0.8209 <= p <= 0.8264

(e) The confidence interval in part (c) has a smaller margin of error because the sample proportion of respondents who do think that the country is headed in the right direction is closer to 0.5 (the midpoint of the interval) than the sample proportion of respondents who do not think that the country is headed in the right direction.

Confidence interval in part (c): 0.1291 to 0.1781

Confidence interval in part (d): 0.8209 to 0.8264

Therefore, Margin of Error is 0.0245, 0.8209 <= p <= 0.8264 and CI in (C) is 0.1291 to 0.1781 and in (d) is 0.8209 to 0.8264.

To learn more about Confidence interval,

brainly.com/question/24131141

#SPJ4

the sum of squared errors (deviations) is 20 for a sample of 5 scores. what is the variance for this sample?

Answers

The variance for this sample of 5 scores with the sum of squared errors (deviations)  20 is 5.

Variance is a measure of the spread of the data around the mean. It can be calculated from the sum of squared deviations (SSE) as follows:

Variance = SSE / (n - 1)

where n is the number of scores in the sample.

In this case, n = 5 and SSE = 20, so the variance is:

Variance = 20 / (5 - 1) = 20 / 4 = 5

So the variance for this sample is "5".

You can learn more about variance at

https://brainly.com/question/28426562

#SPJ4

PLEASE HELP TIME LIMIT - 100 POINTS


Use Graph For Reference

Answers

The line of best fit gives a general outlook on the data while the correlation is the exact points showcased to calculate or show for a data set or table.

How to explain the information

It should be noted that between the two variables it is a positive correlation because they both increase in the same direction.  

Positive correlation is a relationship between two variables in which both variables move in tandem that is, in the same direction.

In order to find the residual one would subtract the predicted value from the measured value.

The diagram is attached.

Learn more about line of best fit on:

https://brainly.com/question/17261411

#SPJ1

A car travels from X to Y at an average speed of 60km/h and returns to X at a speed of 40kph. What is its average speed for the whole journey?

Answers

The average speed of the whole journey is 24 kilometres per hour.

How to find the average speed of the journey?

The average speed is the total distance travelled by the object in a particular time interval.

A car travels from X to Y at an average speed of 60km/h and returns to X at a speed of 40km/h.

Therefore, the average speed for the whole journey can be calculated as follows:

The total distance travelled is 120 km.

Hence,

total time = 120 / 60 + 120 / 40

total time = 2 + 3 = 5 hours

Therefore,

average speed = total distance / total time taken

average speed = 120 / 5

average speed = 24 km/hr

learn more on average speed here: https://brainly.com/question/29798030

#SPJ1

A medical clinic is randomly selecting three staff members to attend a conference. The clinic employees include 7 nurses, 3 doctors, and 4 office staff. What is the probability that three nurses are selected to attend the conference?

0.10
0.13
0.42
0.50

Answers

Answer:

50%

Step-by-step explanation:

7 nurses

3 doctors

4 offices

14 in total

7/14 or 50% is the probability

Answer:

0.50

Step-by-step explanation:

[tex]7 + 3 + 4 = 14[/tex]

So, the probability that the nurses are selected to attend the conference is,

[tex] \frac{7}{14} = \frac{1}{2} [/tex]

[tex] \frac{1}{2} = 0.50[/tex]

a tent has the shape pictured below, where the cross sections are triangles. (the height of each triangle is equal to the base for that triangle.) what is the interior volume of the tent? (all distances are in feet.)

Answers

The interior volume of the tent where the cross sections are triangles is given is 120ft³.

There are two cross sectional triangles

The  one smaller triangle with the height and base of 2ft

The other bigger triangle has a base and height of 4 ft

And the total length of the Tent is given as 6 ft.

Therefore,

Area of smaller triangle = 2 x 2 = 4m²

Area of bigger triangle = 4 x 4 = 16 ft²

So the Volume of the tent is given by ,

Total length x (Area of smaller triangle + Area of bigger triangle)

= 6 x ( 4 + 16 )

=6 x ( 20 )

= 120 ft ³

A measurement of three-dimensional space is volume.  Numerous imperial or US customary units, as well as SI-derived units (such the cubic metre and litre), are frequently used to quantify it numerically (such as the gallon, quart, cubic inch). Volume and length (cubed) have a symbiotic relationship. The capacity of a container is typically regarded to be its volume.

Learn more about Volume:

https://brainly.com/question/29280067

#SPJ4

There are two ducks in front of a duck, two ducks behind a duck and a duck in the middle. How many ducks are there?

Answers

Answer:

There are 5 ducks

Step-by-step explanation:

2 ducks behind

1 duck in the middle

2 ducks infront

Dennis is 55 5/6 inches tall. Dwight is 1 1/3 inches shorter than Dennis and Jane is 1 1/4 inches shorter than Dwight. How tall is Jane?

Answers

Answer:

53 1/4

Step-by-step explanation:

55 5/6  - 1 1/3 - 1 1/4  Rewrite with a common denominator

55 10/12 - 1 4/12 - 1 3/12

55 10/12 - 1 4/12 = 54 6/12

54 6/12 - 1 3/12

53 3/12

53 1/4

an $m \times n \times p$ rectangular box has half the volume of an $(m 2) \times (n 2) \times (p 2)$ rectangular box, where $m, n$, and $p$ are integers, and $m \le n \le p$. what is the largest possible value of $p$?

Answers

The largest possible value of p can be determined by analysing the ratio of the volumes of the two rectangular boxes.

The volume of the first box is V1 = m*p*n and the volume of the second box is [tex]$V2 = (m2)\cdot (n2)\cdot (p2)$[/tex]. Therefore, we can set up the following equation to solve for p:

[tex]$\frac{V1}{V2} = \frac{mnp}{(m2)(n2)(p2)} = \frac{1}{2}$[/tex]

Solving for p gives us the following:

[tex]$p = \sqrt[3]{\frac{2(m2)(n2)}{mn}}$[/tex]

Since m, n, and p must all be integers, the largest possible value of p is the largest integer such that

[tex]$p \le \sqrt[3]{\frac{2(m2)(n2)}{mn}}$.[/tex]

Learn more about Volume:

https://brainly.com/question/463363

#SPJ4

What is a fundamental solution in differential equations?

Answers

The coefficients in the linear combination are determined by the initial or boundary conditions of the problem.

What is the differential equations?

A differential equation is an equation that relates an unknown function to its derivatives. It describes the behavior of a physical, biological, or engineering system in terms of changes in variables over time.

A fundamental solution in differential equations is a particular solution to a differential equation that contains arbitrary constants. It is called "fundamental" because it is a building block for constructing more general solutions to the equation. The general solution to a differential equation can be found by adding a linear combination of several fundamental solutions. The coefficients in the linear combination are determined by the initial or boundary conditions of the problem.

To learn more about differential equations, Visit

https://brainly.com/question/1164377

#SPJ4

What does x equal?
5x+10=2x+16

Answers

Answer:

X = 2

Step-by-step explanation:

5x + 10 = 2x + 16

3x + 10 = 16

3x = 6

x = 2

Hope this helps! Pls give brainliest!

5x + -10 = 2x + -16

Reorder the terms:
-10 + 5x = 2x + -16

Reorder the terms:
-10 + 5x = -16 + 2x

Solving
-10 + 5x = -16 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-10 + 5x + -2x = -16 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-10 + 3x = -16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 3x = -16 + 0
-10 + 3x = -16

Add '10' to each side of the equation.
-10 + 10 + 3x = -16 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = -16 + 10
3x = -16 + 10

Combine like terms: -16 + 10 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

How do you solve a 3x3 augmented matrix?

Answers

To solve a 3×3 augmented matrix use the method of elementary row operations.

What is a matrix?

A matrix is a rectangular array or table with numbers or other objects arranged in rows and columns. Matrices is the plural version of matrix. The number of columns and rows is unlimited. Matrix operations include addition, scalar multiplication, multiplication, transposition, and many others.

An augmented matrix for a system of equations is a matrix of numbers where each column contains all the coefficients for a single variable and each row represents the constants from one equation (both the coefficients and the constant on the other side of the equal sign).

The system of equations are - x - 2y + 3z = 7, 2x + y + z = 4, -3x + 2y -2z = -10

Here is the augmented matrix for this system.

[tex]\left[\begin{array}{rrr|r}1 & -2 & 3 & 7 \\2 & 1 & 1 & 4 \\-3 & 2 & -2 & -10\end{array}\right][/tex]

This matrix can be solved using the method of elementary row operations.

Interchange Two Rows. With this operation interchange all the entries in row  i and row j. The notation used here is Ri ↔ Rj.

[tex]\left[\begin{array}{rrr|r}1 & -2 & 3 & 7 \\2 & 1 & 1 & 4 \\-3 & 2 & -2 & -10\end{array}\right] \stackrel{R_1 \leftrightarrow R_3}{\rightarrow}\left[\begin{array}{rrr|r}-3 & 2 & -2 & -10 \\2 & 1 & 1 & 4 \\1 & -2 & 3 & 7\end{array}\right][/tex]

Multiply a Row by a Constant. In this operation multiply row i by a constant c and the notation will be cRi.

[tex]\left[\begin{array}{rrr|r}1 & -2 & 3 & 7 \\2 & 1 & 1 & 4 \\-3 & 2 & -2 & -10\end{array}\right] \stackrel{-4 R_3}{\rightarrow}\left[\begin{array}{rrr|r}1 & -2 & 3 & 7 \\2 & 1 & 1 & 4 \\12 & -8 & 8 & 40\end{array}\right][/tex]

Add a Multiple of a Row to Another Row.

Row i will be replaced in this procedure with row i times a constant c plus row j. Ri + cRi → Rj is the notation for this operation. This procedure involves taking an input from row i multiplying it by c, adding the equivalent value from row j, and then returning the result to row i.

[tex]\left[\begin{array}{rrr|r}1 & -2 & 3 & 7 \\2 & 1 & 1 & 4 \\-3 & 2 & -2 & -10\end{array}\right] \begin{gathered}R_3-4 R_1 \rightarrow R_3 \\\rightarrow\end{gathered}\left[\begin{array}{rrr|r}1 & -2 & 3 & 7 \\2 & 1 & 1 & 4 \\-7 & 10 & -14 & -38\end{array}\right][/tex]

Let’s go through the individual computation to make sure you followed this.

-3 - 4(1) = -7

2 - 4(-2) = 10

-2 - 4(3) = -14

-10 - 4(7) = -38

Therefore, the matrix is solved using row operations.

To learn more about matrix from the given link

https://brainly.com/question/1279486

#SPJ4

using the squeeze theorem to find the limit of (xy^4)/(x^4 y^4)

Answers

The limit of (xy⁴)/(x⁴y⁴) is 0.

The limit squeeze theorem (also known as sandwich theorem) states that if a function f(x) lies between two functions g(x) and h(x) and the limits of each of g(x) and h(x) at a particular point are equal (to L), then the limit of f(x) at that point is also equal to L. This looks something like what we know already in algebra. If a ≤ b ≤ c and a = c then b is also equal to c. The squeeze theorem says that this rule applies to limits as well. We define the squeeze theorem mathematically as follows:

"Let f(x), g(x), and h(x) are three functions that are defined over an interval I such that g(x) ≤ f(x) ≤ h(x) and suppose lim ₓ → ₐ g(x) = lim ₓ → ₐ h(x) = L, then lim ₓ → ₐ f(x) = L".

Here:

The function f lies between g and h and hence they are lower and upper bounds of f respectively.

'a' doesn't necessarily need to be within I.

We have to find the limit of (xy⁴)/(x⁴y⁴).

After applying the limit squeeze theorem, we get

[tex]\lim_{x \to \infty} \frac{xy^{4} }{x^{4}y^{4} }\\ = \lim_{x \to \infty} \frac{1}{x^{3} } \\= 0[/tex]

Thus, the limit of (xy⁴)/(x⁴y⁴) is 0.

To learn more about limits, visit brainly.com/question/8533149

#SPJ4

How much fencing does she need?

Answers

Answer: 24 feet

Step-by-step explanation:

Perimeter: 2(length+width)

2(7+5)

14+10=24

a projectile is launched with speed v0 and at angle θ0 with respect to the horizontal. which gives the horizontal component of the launch velocity?

Answers

Average velocity = 0 gives the horizontal component of the launch velocity .

What does average velocity mean?

The difference between the change in position or displacement (x) and the time periods (t) during which the displacement happens is known as average velocity.

                     Depending on how the displacement is displaced, the average velocity may be positive or negative. Meters per second (m/s or ms-1) is the standard international unit for average velocity.

Typical flight of a projectile is as shown in the picture above.

In the problem it is given that initial velocity V₀ at an angle θ

above the horizontal. As such inn the picture U=  V₀

     

This velocity can be resolved into its  x and y components.

Component along x axis, and

Component along y  axis = V₀ Sin θ

Let t be time of flight.

    Average velocity = Displacement/time of flight

  It is given that "It lands at the same level from which it was launched", means that displacement in the y axis is = 0  

      Average velocity  = 0/t  = 0  ............1

 

cos  θ component.

 Average velocity  =    V₀  cos  θ ............ 2

Average velocity we need to add both vectors along x and y directions

. In this instant it is simple as one of the vectors is  

                        Average velocity  = 0

Learn more about Average velocity

brainly.com/question/862972

#SPJ4

from a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. how many different committees are possible if (a) 2 of the men refuse to serve together?

Answers

The total number of different committees possible is 6 * 3 * 2 * 56 = 3456.

If 2 of the men refuse to serve together, then we have to choose the first man for the committee first and then choose the other two men one by one, making sure that the two men who refuse to serve together are not chosen together.

There are 6 possible choices for the first man. After the first man is chosen, there are 4 remaining men, and we have to choose 2 more men from these 4. However, one of these 2 men must be the one who refused to serve with the first man. So, there are only 3 possible choices for the second man. After the second man is chosen, there are only 2 possible choices for the third man.

Next, we have to choose 3 women from 8. There are C(8,3) = 56 ways to do this.

So, the total number of different committees possible is 6 * 3 * 2 * 56 = 3456.

To learn more about the number, visit:

brainly.com/question/17429689

#SPJ4

The total number of different committees possible is 6 * 3 * 2 * 56 = 3456.

If 2 of the men refuse to serve together, then we have to choose the first man for the committee first and then choose the other two men one by one, making sure that the two men who refuse to serve together are not chosen together.

There are 6 possible choices for the first man. After the first man is chosen, there are 4 remaining men, and we have to choose 2 more men from these 4. However, one of these 2 men must be the one who refused to serve with the first man. So, there are only 3 possible choices for the second man. After the second man is chosen, there are only 2 possible choices for the third man.

Next, we have to choose 3 women from 8. There are C(8,3) = 56 ways to do this.

So, the total number of different committees possible is 6 * 3 * 2 * 56 = 3456.

To learn more about Number

brainly.com/question/17429689

#SPJ4

Five more people are ahead of me in line than are behind me. There are 3 times as many people in line as there are people behind me. How many people are in line?

A. 15
B. 17
C. 18
D. 20

Answers

15

There's 5 people behind me and 10 people in front of me.

What is 333333+(5+6)-657-(564-3)

Answers

Answer:

332126

Step-by-step explanation:

333333+(5+6)-657-(564-3)=332126

in fall 2020, the department has a cohort of 100 mds juniors. students in the class are enrolled in various classes including stor 435 (undergraduate probability), math 547 (linear algebra for applications) and comp 401 (foundations of programming). to simplify notation below i will denote these as prob., la and comp. assume the classes are not taught at the same time so there can be students who are taking all 3 courses. further there can also be students who are taking none of these 3 courses. 65 of these students are in prob, 45 in la and 40 in comp. there are 25 students that are in both prob. and comp, 20 that are in both la and comp, and 30 that are in both prob. and la. in addition, there are 10 students taking all 3 classes. how many students are taking none of the classes? (you can use venn diagrams for this problem.)

Answers

30 students are taking none of the classes.

We can use the Principle of Inclusion-Exclusion (PIE) to determine the number of students taking none of the classes. The PIE states that the total number of elements in the union of several sets is equal to the sum of elements in each set, minus the sum of elements in the pairwise intersections, plus the sum of elements in the three-way intersections, and so on.

In this case, we want to find the number of students taking none of the classes, which is equal to the total number of students (100) minus the number of students taking at least one class.

So, we can apply PIE as follows:

students taking none of the classes = 100 - (students in prob. + students in la + students in comp - students in prob. & comp - students in la & comp - students in prob. & la + students in prob., comp & la)

Using the given information, we have:

students taking none of the classes = 100 - (65 + 45 + 40 - 25 - 20 - 30 + 10)

students taking none of the classes = 100 - (95 - 25)

students taking none of the classes = 100 - 70

students taking none of the classes = 30

Hence, 30 students are taking none of the classes.

To learn more about intersection visit: brainly.com/question/28337869

#SPJ4

30 students are taking none of the classes.

We can use the Principle of Inclusion-Exclusion (PIE) to determine the number of students taking none of the classes. The PIE states that the total number of elements in the union of several sets is equal to the sum of elements in each set, minus the sum of elements in the pairwise intersections, plus the sum of elements in the three-way intersections, and so on.

In this case, we want to find the number of students taking none of the classes, which is equal to the total number of students (100) minus the number of students taking at least one class.

So, we can apply PIE as follows:

students taking none of the classes = 100 - (students in prob. + students in la + students in comp - students in prob. & comp - students in la & comp - students in prob. & la + students in prob., comp & la)

Using the given information, we have:

students taking none of the classes = 100 - (65 + 45 + 40 - 25 - 20 - 30 + 10)

students taking none of the classes = 100 - (95 - 25)

students taking none of the classes = 100 - 70

students taking none of the classes = 30

Hence, 30 students are taking none of the classes.

To learn more about Intersection

brainly.com/question/28337869

#SPJ4

Let P and Q be equivalent propositional forms. Explain why P ↔ Q is a tautology. Hint: it might be helpful to consider truth tables for a simple example like P = (~ R) VT and Q = ~ (R^(~T)). However you must argue in general, not just for a specific example. =N

Answers

P ↔ Q is a tautology because if P and Q are equivalent propositional forms, they have the same truth value in every possible interpretation, making the bi-conditional proposition P ↔ Q always true.

A tautology is a proposition that is always true, regardless of the truth values of its component propositions.

When two propositions, P and Q, are equivalent, it means that they have the same truth value in every possible interpretation. That is, P and Q are logically equivalent.

Therefore, if P and Q are equivalent propositional forms, then P ↔ Q, the bi-conditional proposition, is a tautology. This is because the truth value of P ↔ Q will always be true, as both P and Q have the same truth value in every possible interpretation.

This can be shown through the truth table for P ↔ Q. The bi-conditional proposition is true if and only if both P and Q have the same truth value. If P and Q are equivalent, then they will always have the same truth value, and so P ↔ Q will always be true.

In general, for any equivalent propositions P and Q, P ↔ Q will always be a tautology.

To learn more about the equivalent propositional, visit:

brainly.com/question/14811926

#SPJ4

Determining class width. Below are some pieces of information you may need to help you compute a class width. Using the formula introduced in class, please find the class width. EXPLAIN how you arrived at your answer, and write your answer below.

Number of desired classes: 5
Largest value in the dataset: 273
Smallest number in the dataset: 17
Number of data in the data set: 84​

Answers

Answer
5-3x
From this you add
5-3x+6

add parentheses to the regular expression to remember the street number (which is: 613) and apartment number (which is: apt 57), but not remember the street name.

Answers

Adding parentheses to a regular expression can be used to capture specific information, such as the street number and apartment number in this example.

A regular expression is a pattern used to match and search for specific strings. To remember the street number "613" and apartment number "apt 57" but not the street name, we can add parentheses to the regular expression to create capturing groups. The parentheses will capture the desired information and allow us to reference it later if needed.

The regular expression would look something like this: (613) (apt 57)

The parentheses indicate that the information inside should be captured as a group. This regular expression will match a string that contains the street number "613" and the apartment number "apt 57", and capture these values in two separate groups.

For example, if we have the following address: "613 Main St, apt 57"

We can use the regular expression to match the desired information:

(613) (apt 57)

In this case, the two groups captured are "613" and "apt 57". The information inside the parentheses can be accessed and used for various purposes, such as formatting or validation.

In summary, adding parentheses to a regular expression can be used to capture specific information, such as the street number and apartment number in this example. This allows for more precise and flexible matching and extraction of information from strings.

Therefore, Adding parentheses to a regular expression can be used to capture specific information, such as the street number and apartment number in this example.

To learn more about expressions,

Visit; brainly.com/question/14083225

#SPJ4

if l is parallel to m find x

Answers

The correct answer fort parallel angles is x = 33° and y = 10°.

What is an example of a similar angle?

The angles created when a transversal intersects two parallel lines are known as corresponding angles. Opening and shutting a lunchbox, completing a Rubik's cube, and an infinite stretch of parallel train lines are common examples of identical angles.

Angle 3y + 20° and angle 5y are parallel angles.

3y + 20° = 5y

2y =  20°

y = 10°

Angles 2x - 16° and 3y + 20° are in direct opposition to one another.

3y + 20° =  2x - 16°

Put the value of angle y in the equation.

3(10) + 20 = 2x - 16

30 + 20 = 2x - 16

50 = 2x - 16

2x = 66

x = 33

As a result, the angles are 33° for x and 10° for y.

To know more about parallel angles visit:-

https://brainly.com/question/7849620

#SPJ1

Question:

Find the value of x for which l is parallel to m. The diagram is not to scale. Lines l and m are parallel.

David's school is more than 8. 5 miles from his house. Let x represent the distance between David's house and school

Answers

The distance between David's house and school is definitely greater than 8.5miles as his school is more than 8.5 miles.

The answer must not be 8 , because as David stays 8.5 miles distance more from his school. An Inequality for a is a>8.5.

The illustration of two expressions by inequal symbol is known as inequality mathematical statement in algebra. It has non equal expressions on both sides. The inequality shows the values on the left side should be bigger or smaller than the expression on the right. The relationships between two algebraic expressions that are expressed using inequality symbols are literal inequalities. An algebraic expression is an expression built up from constant algebraic variables, numbers and the operators.

So the distance between David's house and school must be the value greater than 8.5

Learn more about distance here:

https://brainly.com/question/15172156

#SPJ4

Which expression is equivalent to this expression?

3/4(4h – 6)

Answers

The equivalent expression is 12h - 18/4

How to determine the equivalent expression

It is important to note that algebraic expressions are mathematical expression comprising of factors, constants, coefficients, variables and terms.

These algebraic expressions are also known to be made up of mathematical to arithmetic operations, such as;

Floor divisionSubtractionAdditionDivisionBracketParenthesesMultiplication

From the information given, we have that;

3/4(4h – 6)

To simply this, we need to expand the bracket, we get;

12h - 18/4

Hence, the expression is 12h - 18/4

Learn about algebraic expressions on:

https://brainly.com/question/4344214

#SPJ1

(a) (5 pts) prove the following identity: n 1 log n = 2

Answers

This proof by induction shows that n + 1 log n = 2 for all positive integers n. This holds true since S(1) = 2, and S(k + 1) = 2 for any integer k ≥ 1.

Proof:

Let S(n) = n + 1 log n

We will prove S(n) = 2 by induction.

Base Case:

Let n = 1. Then S(1) = 1 + 1(log 1) = 1 + 0 = 1 = 2.

Inductive Step:

Assume S(k) = 2 for some arbitrary integer k ≥ 1. We must show that S(k + 1) = 2.

S(k + 1) = (k + 1) + 1(log(k + 1))

= k + 1 + 1(log k + log 1)

= k + 1 + 1(log k + 0)

= k + 1 + 1(log k)

= k + 1 + log k

= 2 + log k

= 2 (by induction hypothesis)

Therefore, S(n) = 2 for all positive integers n.

This proof by induction shows that n + 1 log n = 2 for all positive integers n. This holds true since S(1) = 2, and S(k + 1) = 2 for any integer k ≥ 1.

Learn more about integer here

https://brainly.com/question/15276410

#SPJ4

Use common logarithms to approximate log9 72 to four decimal places. (Show your common

log and your answer).

Answers

log9 72 to four decimal places is 2.8594

To approximate log9 72 using common logarithms, we can use logarithmic properties and logarithmic tables.

First, we can rewrite 72 as [tex]9^3[/tex] to find the exponent that gives us 72:

log9 72 = log9 ([tex]9^3[/tex]) = 3

Now, we can use logarithmic tables or a calculator to find the common logarithm of 9, which is 0.954243:

log10 9 = 0.954243

Finally, we can divide the result by the common logarithm of 10 to find the logarithm to base 9:

log9 72 = (1/log10 9) * log10 72 = 0.954243 * log10 72 ≈ 2.859437

log9 72 to four decimal places is 2.8594.

To learn more about logarithmic properties:

https://brainly.com/question/30339791

#SPJ4

Hazma’s Logo wants to create a bumper sticker with his design.
Bumper stickers usually have a height of 3 1/2 inches.
What will the width of his sticker be?

Answers

The width of the sticker will be  8 3/4 inches.

What is a scale factor?

The scale factor defines a variable in a ratio of two different measurements.

Sometimes drawings of large models are represented in a scale factor of a smaller unit.

Given, The given logo has a height of 2 inches and a width of 5 inches.

Bumper stickers usually have a height of 3 1/2 inches which has a

= (7/2)/2 = 7/4 scale factor.

Therefore, The width of the sticker will be,

= 5×(7/4).

= 35/4.

= 8 3/4 iches.

learn more about scale factors here :

https://brainly.com/question/29262154

#SPJ1

Other Questions
Ada left home for school at 6:50am and got to school at 7:15am. How many minutes does it take him to get to school? as oxygenated blood leaves the heart, what is the order of vessels it passes through in systemic circulation? Kate need 3/4 cup of flour. She only ha two meauring cup, a 1/3 and a 1/8. Which cup hould Kate ue? Explain in word or a model cystic fibrosis results from the misfolding of proteins that never get the chance to properly insert into the membranes of lung epithelial cells and perform their function. this is generally referred to as a 2Contracts and Legal Documents: Mastery TestDrag each tile to the correct location on the image. Not all tiles will be used.Match each statement with the correct element of a contract.m All rights reservedWe would like to rent 50 acres ofland to plant wheat, and we willpay 40 percent of the costs.This work of art is available for saleto the highest bidder.OfferWe have understood the proposaland promise to deliver 20 boxesof paper.I have read the contract, and I willabide by all the terms.AcceptanceSubmit TestTools In what part of the brain does top-down processing occur?A. the subcortical structuresB. the brain stemC. the higher levelsD. the lower levels Which of the following are pharmacological factors that help us to understand the drug experience?a. the individual's genetic make-upb. the physical environment where the drug is takenc. the route of drug administrationd. all of thesee. none of these Which sentence contains a dangling modifier? Can someone please help me At the beginning of the year, golden gopher company reports a balance in supplies of $500. During the year, golden gopher purchases an additional $3,300 of supplies for cash. By the end of the year, only $300 of supplies remains. I need help on this please describe the pattern of brain development and why it matters. Which of the following statements is true about cloud services? A) Cloud service vendors tend to avoid virtualization.B) In-house hosting is generally preferable to cloud hosting.C) Cloud services always allow customers to maintain physical control over its data.D) Financial institutions are not likely to hire cloud services from a vendor. what is the most important step in the career planning process? let y1 and y2 have the joint density function f(y1, y2) = e(y1 y2), y1 > 0, y2 > 0, 0, elsewhere. (a) find the marginal density function for y1. f1(y1) = , where y1 > What two Islamic travelers/historians wrote about life in Mali? How would I solve for KE with only mass no velocity? What is the estimated product? 93 x .26 One of the last century's most influential observers of children was the Swiss biologist ____________.a. Margaret Floy Washburn.b. William James.c. Edward Bradford Titchener.d. Jean Piag A 6 ft. 6 ft. square pool is surrounded by a 3 ft. wide gravel path. Notice the corners are rounded on the outer edge of the path. To the nearest square foot, what is the approximate area of the gravel path? how many data values are in this data set?