Write the equation in Point Slope form that goes through the following points. (You must
find the slope).
(-3,-5) and (3, 4)

That W100x15 is the lightest available W-section of Gr. 50 steel which can be used for the given beam. The lightest W-section with a Z-value equal to or greater than the required value of 21,875 cm³ is W100x15 which has a b/d ratio of 12.04/9.15.

Service Dead Load = 3kN/m,

including self weight service

Live Load = 4kN/mLength of span (L) = 10mNominal depth of beam provided at ends and 1/3 point of span cb equivalent to 1.0

.Solution:

From the given data, the service load acting on the beam will be equal to:

(3 + 4) kN/m = 7 kN/mTotal Load on the beam,

W = 7 kN/m x 10 m = 70 kN/m

For a beam which is simply supported at one end and fixed at the other end, the maximum bending moment will occur at the fixed end and its value will be:Max Bending Moment,

M = WL/8 = 70 x 10 x 10 / 8 = 875 kN-m

Now, we know that the moment of inertia (I) of a W-section of given size is constant for all the sections having the same size.Hence, the selection of the lightest available W-section depends only on the section modulus (Z). The section modulus is given as:

Z = (1/6) x b x d²

where b = width of the beam and

d = depth of the beam.For maximum efficiency,

the section with the least weight would have the least value of b/d ratio. Hence, we select the W-section with the smallest possible b/d ratio and which also has a Z-value equal to or greater than the required value of the section modulus.The required section modulus of the beam is calculated as follows:

Section modulus,

Z = (M/S) = (σ_y × M) / cbwhere

S = allowable stress (σ_y)

cb = L / 10We can assume that the allowable stress σ_y is equal to 250 MPa for Gr. 50 steel.

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Consider three random variables, U, V, and W. The answer is E(W) = 2.

To solve for E(W), we need to use the fact that U is equal to both 3V+2 and 5W-23. We can set these two expressions equal to each other:

3V + 2 = 5W - 23

Solving for V in terms of W, we get:

V = (5W - 25) / 3

Now we can use the formula for the expected value of a linear function of a random variable:

E(aX + b) = aE(X) + b

In this case, we have:

V = (5W - 25) / 3

So:

E(V) = E((5W - 25) / 3) = (5/3)E(W) - 25/3

We know that E(V) = -5, so we can substitute that in:

-5 = (5/3)E(W) - 25/3

Solving for E(W), we get:

E(W) = (-5 + 25/3) / (5/3) = 2

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Submitting an online survey is one example of volunteer sampling.

When researchers look for volunteers to participate in studies, they use voluntary sampling. Volunteers can be recruited in person, online, through public postings, and through a variety of other means. When using voluntary sampling, a researcher usually makes little effort to control the sample composition.

The customer satisfaction survey is a common form of voluntary sampling. When a company provides a service or a product, it frequently asks customers to rate their satisfaction. The sample is voluntary and biased because the company asks all customers to volunteer their opinions.

Researchers in academia frequently seek volunteer samples by asking students to participate in research or by looking for people in the community.  Volunteer samples are used for a variety of different types of research because they are inexpensive.

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The structure theorem in computer science states that any computer program can be constructed using only three basic control structures:

Sequential: This structure involves executing statements in a sequential order, one after the other.

Conditional: This structure allows a program to make decisions based on the truth value of certain conditions. It involves using if-else statements and switch-case statements.

Iteration or loop: This structure allows a program to repeat a certain sequence of statements multiple times, based on certain conditions. It involves using for loops, while loops, and do-while loops.

These three control structures are sufficient to create any algorithm or program, regardless of how complex it may be. The structure theorem is an important concept in programming and computer science, as it highlights the fundamental building blocks of all programs.

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The inequalities for the shaded region, x² + y² > 9 and x < –y² + 2

Here we can see that,

In the given graph

it contains one parabolic curve

And one circular curve.

Since the given circle has origin at (0, 0)

And passing through (0,3)

so radius of circle be 3

Now we know that,

equation of circle having Centre at origin,

x² + y² = radius²

so,

x² + y² = 9

Ans parabola is passing through (0, 2) and (0, -2)

And it opens towards negative X axis

Hence equation of parabola be x = –y² + 2

Hence,

After intersection the region left inside parabola be,

x² + y² > 9 and x < –y² + 2

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Answer: its C

Step-by-step explanation:

A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

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Answer:

She watched for 6/8 minutes.

Simplified version would be 3/4 minutes.

Hope this helped! :)

Answer:

\(\frac{3}{4}\) minutes

Step-by-step explanation:

To find how long she watched, add 1/8 to 5/8

Since they have the same denominators, we can add the numerators together and keep the same denominator.

\(\frac{1}{8}\) + \(\frac{5}{8}\)

= \(\frac{6}{8}\)

This can be reduced to \(\frac{3}{4}\), since both numbers are divisible by 2.

So, she watched videos for \(\frac{3}{4}\) minutes

Answer:x= 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

I know

4x+23= 27x because we dont know the value of x, and 10x-1 is 9 because once again, you dont know the value of x.

I dont know if/how im supposed to do the middle one (the triangle)

Translation, rotation, and reflection are three of the fundamental transformations.

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Answer:

19/3 (6 1/3)

Step-by-step explanation:

Problem N 7

Part A

Find out the measure of angle QRS

we have that

m by form a linear pair

m given

mmm

Part B

Find out the measure of angle Q

we have that

145=y+4y -----> by exterior angle theorem

solve for y

145=5y

y=29

Find out the measure of angle Q

mtherefore

The amount of Gallons of gas that Dan's tank can hold is; 18 Gallons

Let the total capacity of Dan's tank be x.

Thus, since it is 1/3 full, then we can say that the capacity is now; x/3

Now, we are told that he buys 9 gallons of gas and this makes it 5/6 full. Thus, the equation to represent all these is;

(x/3) + 9 = 5x/6

Multiply through by 6 to get;

2x + 54 = 5x

5x - 2x = 54

3x = 54

x = 54/3

x = 18 gallons

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Answer:

a) draw a square with 8 on each side. put 2 gates of 1.3 on it somewhere

b) 29.4 m

c) $208.74

Step-by-step explanation:

8×4 =32

gates 2.6

Answer:

29.8

Step-by-step explanation:

a^2+b^2=c^2

a^2+7^2=11^2

a = h = 8.5

A= 1/2*b*h

A= 1/2*8.5*7

A=29.8

Answer: The length of the hypotenuse is √(10)*a

Step-by-step explanation:

Remember the Pythagorean theorem.

If b is the larger base, and a the shorter base, and H is the hypotenuse:

a^2 + b^2 = H^2

now, we know that b = 3*a.

(3*a)^2 + a^2 = H^2

10*a^2 = H^2

√(10)*a = H

Then we have the length of the hypotenuse in terms of the shorter base, B.

if the area of a rectangle is 80 square units, the perimeter must be lesser than or equal to 35. 9 units.

What is a conjecture?

A conjecture is a conclusion or a proposition that is made tentatively and without supporting evidence.

The conjecture for the given question is:

if the area of a rectangle is 80 square units, the perimeter must be lesser than or equal to 35. 9 units.

Greater than → Lesser than or equal to

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By applying Pascal's triangle concept for the f(n) as per given condition the value f(2) is 1.

To find f(2),  calculate the sum of the elements in the second row of Pascal's triangle

and subtract the sum of all the elements from the previous rows.

Pascal's triangle is formed by starting with a row containing only 1

and then each subsequent row is constructed by adding the two numbers above it.

The first row of Pascal's triangle is simply 1.

The second row of Pascal's triangle is 1 1.

To calculate f(2),  sum the elements in the second row and subtract the sum of the elements in the previous rows.

Sum of elements in the second row = 1 + 1 = 2

Sum of elements in the first row = 1

This implies, f(2) = 2 - 1 = 1.

Therefore, using Pascal's triangle the value f(2) is equal to 1.

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Answer:

4.2 gallons

67.2 cups

Step-by-step explanation:

He had 3 gallons of punch.

He added another 1.2 gallons.

The number of gallons of punch he has now is:

3 + 1.2 = 4.2 gallons

1 gallon = 16 cups

=> 4.2 gallons = 4.2 * 16 = 67.2 cups

He has 67.2 cups

Answer:

-6x-16

Step-by-step explanation:

Answer:

13+9 i think ok try it yorself

-22

Answer: 2.5

Step-by-step explanation:

3 1.4 lbs also equals 3.25

3 x 0.75 = 2.25

2.25 + 25 = 2.5

The caloric content in candy A is 269 and that of candy B is 255.

The caloric content is the quantity of energy required to increase the temperature of one liter of water by one degree. A calorimeter was initially used to determine a food's calorie count.

Let us consider:

Caloric content of Candy A = x

Caloric content of Candy B = y

We can thereby make two equations:

Eqn 1: 1x + 2y = 779

Eqn 2: 2x + 1y = 793

By elimination method, we have

2x + 4y = 1558

Solving for x by subtracting with Eqn 2, we have,

3y = 765

y = 765 ÷ 3

y = 255.

Now substituting the value of y in Eqn 2, we have:

2x + 1y = 793

2x + 1 × 255 = 793

2x + 255 = 793

2x = 793 - 255

2x = 538

x = 538 ÷ 2

x = 269.

Hence caloric content in candy A is 269 and that of candy B is 255.

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Answer:

91 +3409/12500

Step-by-step explanation:

Did you mean simplify as a fraction?

None  of the given pairs of lines are perpendicular. The answer is none of the above (E).

To determine which two lines are perpendicular, we need to check whether the slopes of the lines are negative reciprocals of each other. If they are, then the lines are perpendicular.

The slope of a line can be determined by examining the coefficient of x in the line's equation.

For Equation A, the slope is -3 (the coefficient of x is 3, and the slope is the negative of the coefficient).
For Equation B, the slope is 3 (the coefficient of x is 6, and the slope is the coefficient divided by -2).
For Equation C, the slope is 3 (the coefficient of x is 3).
For Equation D, the slope is 13.

Now we can check which two lines have slopes that are negative reciprocals of each other. The negative reciprocal of 3 is -1/3, and the negative reciprocal of -3 is 1/3. None of the pairs of lines have slopes that are negative reciprocals of each other. Therefore, none of the given pairs of lines are perpendicular. The answer is none of the above (E).

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The correct equation to predict the number of years it would take for the painting to have a value of $10,000 is 15,000(0.85)\(^{(t)}\) = 10,000. The correct answer is option (c).

The initial value of the painting is $15,000, and its value is predicted to decay by 15% each year. This means that its value after t years can be represented by the equation:

V(t) = 15,000(0.85)\(^{(t)}\)

We want to find the number of years it would take for the value to reach $10,000, so we set V(t) equal to 10,000 and solve for t:

10,000 = 15,000(0.85)\(^{(t)}\)

Dividing both sides by 15,000 gives:

0.6667 = 0.85\(^{(t)}\)

Taking the natural logarithm of both sides gives:

ln(0.6667) = t ln(0.85)

Solving for t gives:

t = ln(0.6667) / ln(0.85) = 2.294

So it would take approximately 2.294 years for the painting to have a value of $10,000. The right option is (c).

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Answer:

3.14

Step-by-step explanation:

Answer:

3.14 inches squared

Step-by-step explanation:

\(Area=\pi r^{2}\)

If the diameter is 2 inches, the radius is 1 inch

Area = (3.14)(1x1)

Area=3.14

Answer:

30

Step-by-step explanation:

180-53-97

Answer:

Area=1/2(3+3)x6

=1/2(6) x6

=3x6

=18 cm2

So, 18 cm2 is the area of the trapezium