Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!

After calculations, it is determined that the required spacing of the closed stirrups is approximately 6 inches.

To determine the required spacing of closed stirrups for the given beam, we need to consider the factored shear and factored torsional moment. The formula for calculating the spacing of closed stirrups is given by:

s = (0.75√(f'c) / fy) * (Av / (bd - 2s))

where:

s = spacing of stirrups

f'c = specified compressive strength of concrete

fy = specified yield strength of steel reinforcement

Av = area of one closed stirrup

b = width of the beam

d = effective depth of the beam

Given information:

Width (b) = 15 in.

Effective depth (d) = 26.5 in.

Factored shear = 80 kips

Factored torsional moment = 50 ft-kips

Stirrup centroid from concrete face = 1.75 in.

No. 4 (no. 13) closed stirrup size = 0.2 square inches

First, we need to calculate the area of one closed stirrup:

Av = (No. of stirrups) * (Area of one stirrup)

Av = (2) * (0.2 square inches)

Av = 0.4 square inches

Next, we can substitute the values into the formula to calculate the spacing (s):

s = (0.75√(f'c) / fy) * (Av / (bd - 2s))

Assuming f'c = 4 ksi (common value for concrete strength) and fy = 60 ksi (common value for steel reinforcement strength), we can calculate:

s = (0.75√(4) / 60) * (0.4 / (15 * 26.5 - 2s))

Simplifying the equation, we get:

s = 0.0986 / (397.5 - 30s)

To solve for s, we can use an iterative approach or trial and error method. By substituting different values of s into the equation, we can find the spacing that satisfies the equation.

Know more about closed stirrups here:

https://brainly.com/question/541723

#SPJ11

The linear model for this data is y = 0.63t + 4.922 and the estimated population of Greensboro in 2015 was 11,530

What is slope?

Slope is a measure of the steepness of a line. It is defined as the change in y-coordinate divided by the change in x-coordinate between any two points on the line.

a. To find the linear model for this data, we need to determine the equation of the line that passes through the two given points: (0, 4.922) and (6, 9.1). The slope of this line can be calculated as:

slope = (change in y) / (change in t)

slope = (9.1 - 4.922) / (6 - 0)

slope = 0.63

Using the point-slope form of a linear equation, we can write the equation of the line as:

y - 4.922 = 0.63(t - 0)

Simplifying, we get:

y = 0.63t + 4.922

Therefore, the linear model for this data is y = 0.63t + 4.922.

b. To estimate the population in 2015, we need to find the value of y when t = 11 (since 2015 is 11 years after 2004). Substituting t = 11 into the linear model, we get:

y = 0.63(11) + 4.922

y = 11.53

Therefore, the estimated population of Greensboro in 2015 was 11,530 (rounded to the nearest whole number).

To know more about slopes visit:

brainly.com/question/14548961

#SPJ1

The value of MD (mean difference) for the given repeated-measures research study data can be calculated by subtracting the scores of the first condition from the scores of the second condition for each subject, then calculating the mean of those differences.

The mean difference (MD) for the given data can be calculated as follows:

MD = ((15-10) + (8-4) + (5-7) + (11-6))/4

MD = (5 + 4 - 2 + 5)/4

MD = 3

Therefore, the value of MD for the given data is 3.

In a repeated-measures research study, the same group of subjects is measured on the same variable multiple times. MD represents the average difference between the scores of the same group of subjects on the same variable across two different conditions or time points.

To calculate MD, we need to subtract the scores of the first condition from the scores of the second condition for each subject, and then calculate the mean of those differences. In this case, the mean difference is 3, indicating that there is an average increase of 3 units from the first to the second condition. MD is a useful statistic in repeated-measures studies, as it provides information about the magnitude and direction of the change in the variable being measured.

Learn more about Mean Difference:

brainly.com/question/12694093

#SPJ11

Answer:

Triangle and rectangle :)

my best guess for this is x + 1

x + 1 4

Answer:

A

Step-by-step explanation:

In an expression with variables, the constants are the numbers that are not multiplied by variables, in other words, plain numbers.

Answer: A

To find the equation of the line of intersection between  we need to follow the steps below. Step 1: Solve for any two variables between the two planes Step 2: Substitute the values of the variables into the other equation to solve for the third variable.

Step 3: Form the vector equation of the line. Step 1: Solving for any two variables between the two planes Multiplying the first plane by 2, we get; And we have Multiplying the equation above by 2, we have; Solving the equations above simultaneously, we have:

8x = 26

x = 13 Substituting

x = 13 into any of the two equations, we have;

y + z = −10. Substituting x and y values into any of the two equations, we have;

z = −3. Substituting the values of x, y, and z into any of the two equations, we have:

3x − y − 3 = 0. The equation of the line of intersection between

x + y + z = 3 and

2x − y + z = 10 is therefore (13, −23, −3) + t(1, −1, 1).b. Formula for a plane: The vector equation of a plane is given as: r.n = a.n Where r is the position vector of a point on the plane, n is the normal vector of the plane, a is a constant vector that is perpendicular to n.

The equation involving x, y, and z is derived from the vector equation by writing the position vector r as (x, y, z) and the normal vector n as (A, B, C). The equation is given as: A(x - x₁) + B(y - y₁) + C(z - z₁) = 0 where (x₁, y₁, z₁) is a known point on the plane. c. Equation of a line in 3D: The equation of a line in 3D is given as: r = a + tb where r is the position vector of any point on the line, a is the position vector of a known point on the line, b is the direction vector of the line, and t is a scalar. This equation expresses a set of points along the line through the vector addition of a fixed position vector and a scaled direction vector. d. Curvature of

y = x³ at

x = 1 The first and second derivatives of

y = x³ are

y' = 3x² and

y'' = 6x. Substituting

x = 1 into the first and second derivatives .

To know more about equation visit :

https://brainly.com/question/29657983

#SPJ11

The problem presents a scenario of a contaminant spreading in a circular pattern on the surface of a lake, and we are asked to find a function that gives the area of the circular lake in terms of the time since the spread began.

The radius of the contaminant is given by the equation r(t) = 2.25√7, where t is the time in hours since contamination. This equation describes a circle whose radius increases with time at a rate of 2.25√7 meters per hour. The area of this circle can be calculated using the formula A = πr^2, where r is the radius of the circle.

Substituting the equation for r(t) into the formula for the area, we get:

A(t) = π(2.25√7)^2

= 15π

Therefore, the function that gives the area of the circular lake in terms of the time since the spread began is A(t) = 15π. This means that the area of the lake remains constant over time and is equal to 15 times the value of π. This result is expected because the contaminant is spreading in a circular pattern, which means that the area of the lake it covers will increase at a constant rate, leading to a constant area of the remaining lake outside the contaminated zone.

In summary, the problem asks us to find the area of a circular lake given the radius of the contaminant, which is modeled by the equation r(t) = 2.25√7. By substituting this equation into the formula for the area of a circle, we obtain a constant value of 15π, which represents the area of the remaining uncontaminated portion of the lake.

Learn more about area here:

https://brainly.com/question/1631786

#SPJ11

Answer : value of x and y in the matrix equation is:

x = -3

y = +4, -4

Step-by-step explanation :

The matrix expression is:

\(\left[\begin{array}{ccc}x+4\\y^2+1\end{array}\right]+\left[\begin{array}{ccc}-9x\\-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]\)

First we have to add left hand side matrix.

\(\left[\begin{array}{ccc}(x+4)+(-9x)\\(y^2+1)+(-17)\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]\)

Now we have to add left hand side terms.

\(\left[\begin{array}{ccc}x+4-9x\\y^2+1-17\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]\)

\(\left[\begin{array}{ccc}4-8x\\y^2-16\end{array}\right]=\left[\begin{array}{ccc}28\\0\end{array}\right]\)

Now we have to equating left hand side matrix to right hand matrix, we get:

\(\Rightarrow 4-8x=28\text{ and }y^2-16=0\\\\\Rightarrow 8x=4-28\text{ and }y^2=16\\\\\Rightarrow x=-3\text{ and }y=\pm 4\)

Therefore, the value of x and y in the matrix equation is -3 and +4, -4 respectively.

Answer:

D is wrong. The correct answer choice is C ( x=-3 and y= +4, -4)

Step-by-step explanation:

Math unit test review

the answer for 135 times 12 is 1620

Answer:

1620

Step-by-step explanation:

u can time 12 by 135 or divide them

\( \frac{ - 9 + a}{15} > 1 \\ \\ - 9 + a > 1 \times 15 \\ - 9 + a > 15 \\ a - 9 + 9 > 15 + 9 \\ a > 24\)

The value of the definite integral in this problem is given as follows:

A. 0.

The definite integral in the context of this problem is defined as follows:

\(\int_0^{\frac{\pi}{2}} \cos{\left(4x + \frac{\pi}{2}\right)}\)

Using substitution, we can solve the integral as follows:

u = 4x + π/2.

du = 4 dx

dx = du/4.

Hence the integral as a function of u is given as follows:

\(\frac{1}{4} \int \cos{u} u du = \frac{\sin{u}}{4}\)

Hence as a function of x, the integral is given as follows:

\(\frac{\sin{\left(4x + \frac{\pi}{2}\right)}}{4}\)

At x = π/2, the numeric value of the integral is given as follows:

\(\frac{\sin{\left(2\pi + \frac{\pi}{2}\right)}}{4} = \frac{\sin{\left(\frac{\pi}{2}\right)}}{4}\)

(applying equivalent angles).

At x = 0, the numeric value of the integral is given as follows:

\(\frac{\sin{\left(\frac{\pi}{2}\right)}}{4}\)

Applying the Fundamental Theorem of Calculus, we subtract the numeric values, which are equal, hence the result of the integral is given as follows:

0.

More can be learned about integrals at https://brainly.com/question/22008756

#SPJ1

Answer:

they put words together in a way that sounds like what the poem means.

The required integral is ∫0¹ ∫x²¹ f(x, y) dydx will be approximately equal to 0.103

The given integral is ∫0¹ ∫x²¹ f(x, y) dydx.

To evaluate this double integral,

we first integrate with respect to y and then integrate with respect to x. Integrating with respect to y:

∫x²¹ f(x, y) dy = [(-1/2)e-y²2x]

x²¹= (-1/2)e-x⁴ + (1/2)e-2x⁴.

Now, integrating this result with respect to x:

∫0¹ (-1/2)e-x⁴ + (1/2)e-2x⁴ dx=[(-1/8)e-x⁴ + (1/16)e-2x⁴]

0¹= (-1/8)e-1 + (1/16)e-2.

Evaluating this expression,

We will get the value of the given integral as approximately 0.103 to 3 decimal places.

For such more question on integral

https://brainly.com/question/22008756

#SPJ4

Answer:

AUB = {0,1,2,3,4,6,8}

B∩C = Nil

Xc∩Yc = {February, April, August, September, November, December}

(YUZ)c= {February, March, April, May, August}

the symbol c stands for complement in the solution.

Step-by-step explanation:

union is combining all the elements of sets A and B

AUB = {0,1,2,3,4,6,8}

intersection is combining only the common elements present in both B and C

B∩C = Nil

complement of a set is the number of elements that are not present in the set.

Xc = {January, February, April, August, September, November, December}

Yc= {February, March, April, May, August, September, October, November, December}

Xc∩Yc = {February, April, August, September, November, December}

Y∪Z = {January, June, July, September, October, November, December}

(YUZ)c= {February, March, April, May, August}

the symbol c stands for complement in the solution.

Answer:

Step-by-step explanation:

Given various set definitions, you want to find the union and the intersection of specific pairs of sets.

We find it convenient to list the set contents in such a way that we can readily identify elements in one set or another, neither, or both. That is what we have done in the attachment.

The union of sets A and B will be the list of elements in either set. That is, if an element is included in set A or in set B, it is included in their union. An element is only listed once, even if it appears in both sets.

  A⋃B = {0, 1, 2, 3, 4, 6, 8}

The intersection of sets B and C will be the list of elements contained in both sets. Set B is even digits, and set C is odd digits. Since there are no digits that are both even and odd, their intersection is the empty set.

  B⋂C = { } . . . (the empty set)

The intersection of the complements of sets X and Y is the list of elements of U that are not in either set.

  X'⋂Y' = {Feb, Apr, Aug, Sep, Nov, Dec}

The complement of the union of Y and Z is the list of elements of U that are not in either of sets Y or Z. This is effectively the same as Y'⋂Z'.

  (Y⋃Z)' = {Feb, Mar, Apr, May, Aug}

__

Additional comment

We have elected to abbreviate the month names for problems 3 and 4. Your answer may need to spell them out completely to match the problem statement.

Using proportions, it is found that Jade's total yearly income was of $50,600.

A proportion is a fraction of a total amount.

In this problem, Jade's income is composed by:

Hence:

\(T = 18000 + 50(52) + 0.025(1200000) = 50600\)

Jade's total yearly income was of $50,600.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

Equation: 4x = 128

\(m\angle 1 = 84\degree\)

\(m\angle 2 = 96\degree\)

Step-by-step explanation:

The cost of the athletic shoe is $20 meanwhile the cost of the casual shoe is $35.

A system of equations is the given term of math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by substitution or adding methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

Firstly, you should extract the main information of the question.

Next,  you should convert the given text information into equations. See below.

20A+10C=750 (1)

25A+20C=1200 (2)

From the substitution method, you can solve this question by following the steps below:

1) Multiply equation 1 by the number -2. Then, you have:

-40A-20C= -1500 (1)

25A+20C=1200 (2)

2) Sum the previous equations presented in step 1.

-15A=-300

15A=300

A=300/15

A=20

3) Find the variable C from equation 2. In step 2, you find  A=20, thus.

25A+20C=1200 (2)

25*20+20C=1200

500+20C=1200

20C=1200-500

20C=700

C=700/20

C=35

Read more about solving systems equations here:

brainly.com/question/12691830

#SPJ1

Answer:

Step 1 should have been 27(6 + 30).

Step-by-step explanation:

Given that:

The evaluation of the expression 27(36) by using the distributive property as portrayed by Liz is as follows:

27 (36)

Step 1 = 27 (3+ 12)

Step 2 = 27(3) + 27(12)

step 3  = 81 + 324

Step 4 = 405

What was the first error that Liz made?

From the above first step, we will see that :

27(3+12) was given, which is wrong.

the right step that is supposed to be there is:

27(6 + 30).

so the calculation will be:

Step 1 = 27(6+30)

Step 2 = 27(6) + 27(30)

Step 3 = 162 + 810

Step 4 = 972

The appropriate appendix table or technology to answer this question would be a chart or graph showing the annual cost of attending private and public colleges.

Technology is the application of scientific knowledge for practical purposes, especially in industry. Technology can be used to create new products, processes, and services, improve existing ones, optimize efficiency, and solve problems. It includes both hardware and software components, such as computers, communication networks, robotics, and artificial intelligence, as well as the knowledge and skills to use these tools. Technology has the potential to improve lives, increase productivity, and enable more efficient use of resources. Despite the potential benefits, technology can also create ethical, legal, and economic challenges.

This would allow for a visual comparison of the data, making it easier to interpret the results. Additionally, a chart or graph would make it easier to identify any trends or patterns in the data.

To learn more about technology
https://brainly.com/question/28914687
#SPJ1

Answer:

1.445 *10^4

Step-by-step explanation:

it is already in standard form

standard: 14450

scientific notation: 1.445 * 10^4

Answer:

a is equal to 0

Answer: A is equal to 0

Anything’s you time by 0 you get 0 remember that

Step-by-step explanation:

0 and 0.1*0=0 and 0.01*0=0 so 0=0

9514 1404 393

Answer:

Step-by-step explanation:

When you need to drag points around to plot your line, it is convenient to use one of them to plot the y-intercept. That is the point on the y-axis that is equal to the constant in the equation.

  y = -5x +6 . . . . . . . . y-intercept is (0, 6)

  y = 3x -2 . . . . . . . . . y-intercept is (0, -2)

__

Then you need an additional point on each line. When the slope is a fraction, it is often convenient to use the denominator of the fraction as an x-value. Here, the slopes are integer values, so choosing x=1 to find another point can work well.

  y = -5(1) +6 = 1 . . . . . the point (1, 1) is on the first line

  y = 3(1) -2 = 1 . . . . . . .the point (1, 1) is on the second line

__

Now, you know a point that satisfies both equations, (x, y) = (1, 1), so you know their solution. If you plot your two lines, you will see they intersect at this point, which is the solution to the system of equations.

Answer:

578 cm^2

Step-by-step explanation:

The surface area is given by one circle of radius 4 (the other is missing!), plus a "rectangle" (the lateral surface) of sides 21 and \(2\pi \times 4\) (the length of the circumference at the base). Adding them up we get:\(\pi \times4^2 + 21\times 2\pi\times4 = 184\pi \approx 578 cm^2\)

The value of a is 37°, the value of b is 34° and the value of c is 143° in the given triangle.

According to the question,

We have the following information:

We have a triangle with angles given.

We know that angle made on a straight line is 180° and the sum of all three angles of a triangle is 180°.

We also know that vertically opposite angles are equal.

So, a is vertically opposite to 37°.

So, the value of a is 37°.

Now, a and c make a straight line.

c = 180-37

c = 143°

a + b + 109° = 180°

37° + b + 109° = 180°

b+146° = 180°

b = 180-146

b = 34°

Hence, the value of a is 37°, the value of b is 34° and the value of c is 143° in the given triangle.

To know more about triangle here

https://brainly.com/question/27682397

#SPJ1

the age of jill and tony is 10 and 8 respectively

Twice Jill's Age Added To Three Times Tony's Age Is 44

2m + 3n = 44

Jill's Age Equals Tony's Age Plus 2 Years

m = n + 2

by solving the both equation we get

2(n + 2) + 3n = 44

5n + 4 = 44

5n = 44 - 4

n = 40/5

n = 8

again

m = 8 + 2

m = 10

so the age of jill and tony is 10 and 8 respectively

There are numerous methods to define a mathematical equation. A model is just a mathematical statement that says two theoretical results are equal. For instance, in the equation 3x + 5 = 14, the terms 3x + 5 and 14 are two different formulations that are separated by the symbol "equal." The simplest and most fundamental algebraic equations in mathematics contain one or more parameters.

To know more about equation, click the below link

https://brainly.com/question/29514785

#SPJ4

The power of a test is measured by its capability of rejecting a null hypothesis that is false, so option C is the correct answer

what is power with respect to probability?

Power is defined as the probability of correctly rejecting the false null hypothesis. It is the measure of the capability of rejecting a null hypothesis that is false.

Power = P[ rejecting a null hypothesis that is false.]

So, option C is correct, the power of a test is measured by its capability of rejecting a null hypothesis that is false

To learn more about the null hypothesis refer here

https://brainly.com/question/25263462

#SPJ4

Answer:

\(x = - 1.\)

Step-by-step explanation:

\( {2}^{x} = \frac{1}{2} \\ {2}^{x} = {2}^{ - 1} \\ x = - 1.\)

♨Rage♨

Step-by-step explanation:

Hey there!

Given;

\( {2}^{x} = \frac{1}{2} \)

We know that (1/2) can be written as 2^-1. So, it will be;

\( {2}^{x} = {2}^{ - 1} \)

Looking on both sides we find that both have same base. So,

x = -1

(Note: While solving the exponential equation you must make base same by simplifying them and then equate the power)

Hope it helps...