h. How many yards are there in 255ft? (3 ft = 1 yd)

Answers

Answer 1

Answer:

85

Step-by-step explanation:

Answer 2

Answer:

85 yards

Step-by-step explanation:

You just go online to find the answer.


Related Questions

15. Describe the three general steps
for producing a recombinant DNA (rDNA) vector, state how rDNA can
be introduced into cells, and discuss the clinical applications of
rDNA.

Answers

Producing rDNA involves isolating and cleaving DNA, inserting fragments into a vector, and transforming host cells. rDNA can be introduced via transformation, transfection, or viral vectors. Clinical applications include protein production, gene therapy, vaccines, and diagnostics.

Producing a recombinant DNA (rDNA) vector involves several general steps. Here are the three main steps involved in the process:

Isolation and Cleavage of DNA:

The first step is to isolate the desired DNA fragments from the source organism. This can be done using various techniques such as PCR (Polymerase Chain Reaction) or restriction enzyme digestion. Restriction enzymes are enzymes that cut DNA at specific recognition sites. By using the appropriate restriction enzymes, the desired DNA fragment and a vector DNA can be cut at specific sites. The vector is usually a plasmid, which is a small circular DNA molecule.

Insertion of DNA Fragments into the Vector:

Once the DNA fragments and vector have been cut, they are mixed together and joined through a process called ligation. DNA ligase is used to catalyze the formation of covalent bonds between the ends of the DNA fragments and the vector. This creates a recombinant DNA molecule containing the desired DNA fragment within the vector. The recombinant DNA molecule is then introduced into host cells for replication.

Transformation of Host Cells:

The recombinant DNA molecules need to be introduced into host cells to produce multiple copies of the recombinant DNA. This is typically done using a process called transformation. Host cells, such as bacteria or yeast, are treated in a way that makes them more receptive to taking up the recombinant DNA. Methods for transformation include heat shock, electroporation, or using chemical agents. Once the host cells have taken up the recombinant DNA, they can be grown in culture to produce large quantities of the desired DNA fragment.

Introduction of rDNA into Cells:

Recombinant DNA can be introduced into cells using various methods, depending on the type of cells being targeted. Some common techniques include:

Transformation: As mentioned earlier, host cells, such as bacteria or yeast, can be treated to make them receptive to taking up the recombinant DNA. This can be achieved by exposing the cells to heat shock, electroporation, or using chemical agents.

Transfection: This method is used for introducing rDNA into eukaryotic cells, including animal cells. It involves the use of techniques such as calcium phosphate precipitation, liposome-mediated transfection, or electroporation.

Viral Vectors: Certain viruses, such as retroviruses, adenoviruses, or lentiviruses, can be modified to carry the recombinant DNA. These viral vectors can then infect target cells and deliver the rDNA into the host genome.

Clinical Applications of rDNA:

Recombinant DNA technology has revolutionized biomedical research and has led to numerous clinical applications. Some important applications include:

Production of Therapeutic Proteins: rDNA technology allows for the production of large quantities of therapeutic proteins, such as insulin, growth factors, clotting factors, and monoclonal antibodies. These proteins can be used to treat various diseases, including diabetes, cancer, and genetic disorders.

Gene Therapy: rDNA vectors can be used to deliver functional copies of genes into target cells to correct genetic defects. This holds promise for the treatment of inherited diseases caused by single gene mutations, such as cystic fibrosis and muscular dystrophy.

Vaccine Development: Recombinant DNA technology has been instrumental in the development of vaccines. By expressing specific antigens from pathogens, recombinant vaccines can be created to stimulate an immune response without causing disease.

Diagnostic Tools: Recombinant DNA techniques are used to produce specific DNA or RNA probes for diagnostic purposes. These probes can detect the presence of specific genes or mutations associated with diseases, aiding in early detection and personalized medicine.

for such more question on isolating

https://brainly.com/question/27746495

#SPJ8

Please help!

What is the value of x in the above figure?
E. 20
F. 40
G. 60
H. 70

Please help! What is the value of x in the above figure? E. 20 F. 40 G. 60 H. 70

Answers

Answer:

70° is the answer hope it helps

30°+90°+ 3y= 180°

120°+3y= 180°

3y= 180°-120°

y= 60°/3

y= 20°

Now

y°+90°+x°= 180°

20°+90°+x= 180°

x= 180°-110°

x= 70°

Answer:

H. 70

Step-by-step explanation:

3y° + 30° = 90°

3y° = 60°

3y = 60

y = 60/3

y = 20

x + y = 90

x = 90 - 20

x = 70

Please help me with this geometry question

Please help me with this geometry question

Answers

Answer:

RQP

Step-by-step explanation:

i think RQP(not sure)

1. Claire has 3 cups of muffin batter. Each muffin requires ¼ of batter. How many muffins can Claire make?​

Answers

She can make 12 cupcakes. 3 x 1/4 =12

Which is the best approximation for the measure of angle xyz? 33.6° 39.8° 50.2° 56.4°

Answers

The best measure of the angle ∠XYZ is given by: Option B: 39.8°

What are the six trigonometric ratios?

Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.

In a right angled triangle, two such angles are there which are not right angled (not of 90 degrees).

The slant side is called hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.

From that angle (suppose its measure is θ),

\(\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\\\\)

The missing figure is attached below.

From the given figure, if we see from the angle x which is ∠XYZ, the hypotenuse is YZ, perpendicular = XZ with length 10 inches, and base XY with length 12 inches.

Since perpendicular and base are specified, we can directly use tangent ratio and then its inverse to find the measure of the ∠XYZ, as shown below:

\(\tan(\angle XYZ) = \dfrac{|XZ|}{|XY|} = \dfrac{10}{12}\\\\\angle XYZ = \tan^{-1}\left(\dfrac{10}{12}\right) \approx 39.8^\circ\)

Thus, the best measure of the angle ∠XYZ is given by: Option B: 39.8°

Learn more about inverse trigonometric functions here:

https://brainly.com/question/12551115

Which is the best approximation for the measure of angle xyz? 33.6 39.8 50.2 56.4

Answer:

b

Step-by-step explanation:

took the test

Given that the probability of a company having a section in the newspaper is 0.43, and the probability of a company having a website given that the company has a section in the newspaper is 0.84, what is the probability of a company having a website and a section in the newspaper

Answers

To find the probability of a company having both a website and a section in the newspaper, we can use the formula for conditional probability.

Let's denote the events as follows:
A: A company has a section in the newspaper
B: A company has a website

We are given the following probabilities:
P(A) = 0.43 (Probability of a company having a section in the newspaper)
P(B|A) = 0.84 (Probability of a company having a website given that it has a section in the newspaper)

The probability of both events A and B occurring can be calculated as:
P(A and B) = P(A) * P(B|A)

Substituting in the values we have:
P(A and B) = 0.43 * 0.84
P(A and B) = 0.3612

Therefore, the probability of a company having both a website and a section in the newspaper is 0.3612 or 36.12%.

Probability https://brainly.com/question/13604758

#SPJ11

Write and solve an equation to find what fraction of the student f voted for fruit juice or water

Answers

If \(\frac{1}{4}\) of fruit punch is pineapple juice. About \(\frac{1}{6}\) of the fruit punch is orange juice, then fraction of punch that is pineapple juice or orange juice is \(\frac{5}{12}\) .

The fraction of pineapple juice in fruit punch is = \(\frac{1}{4}\) ;

the fraction of orange juice in fruit punch is = \(\frac{1}{6}\) ;

the equation that can be used to find the fraction of fruit punch that is pineapple juice or orange juice is

⇒ \(Frcation Of (Pinapple Juice +Orange Juice)\)

substituting the values ,

we get the equation as ;

⇒ \(\frac{1}{4} +\frac{1}{6}\)

taking LCM as 4 and 6 as 12 and solving further  ,

we get ;

⇒ \(\frac{3}{12} +\frac{2}{12}\) ; = \(\frac{5}{12}\) .

Therefore , the fraction of fruit  punch that is pineapple juice or orange juice is \(\frac{5}{12}\) .

The given question is incomplete , the complete question is

About 1/4 of fruit punch is pineapple juice. About 1/6 of the fruit punch is orange juice. Write and solve an equation to find the fraction of the punch that is pineapple juice or orange juice .

Learn more about Fraction here

https://brainly.com/question/21502892

#SPJ4

Jennifer made these measurements on ABC,BC must be-?

Jennifer made these measurements on ABC,BC must be-?

Answers

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

We know m∠B = 70° because the sum of interior angles in a triangle is equal to 180°.

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

The monthly rent for an 800 square foot office is $975. For an 1100 square foot office the rent is $1125 Write and solve a linear equation to find out the rent for a 1500 square foot office

Answers

There is the answer step by step
The monthly rent for an 800 square foot office is $975. For an 1100 square foot office the rent is $1125

Why is IT important to integrate information?

Answers

Data integration combines data collected from various platforms to increase its value for your company. It enables your staff to collaborate more effectively and provide more for your clients.So IT is important to integrate information.

   

The combining of data from diverse sources with various conceptual, contextual, and typographic representations is known as information integration. It is utilised for data aggregation and mining from unstructured or partially organised sources. You may connect all of your data, people, and processes in a single solution by using an integrated solution. Today's top HSEQ management teams regard this strategy as best practise. The justification for this is straightforward: it improves reporting, efficiency, uniformity, speed, and ease of use. An integrated report's main goal is to describe to financial capital providers how a company builds, protects, or loses value over time. As a result, it includes pertinent information, both financial and otherwise.

For such more questions on Integrate information:

brainly.com/question/28021378

#SPJ4

Liam used a container shaped like a cylinder to catch rainwater. The dimensions of the container are 18 cm radius and 13.5 cm tall. Which measurement is closet to the volume of the container in cubic centimeter a 13741 cm, b 3281 cm , c 763 cm are d 3435 cm

Answers

The volume of a cylinder is

\(V=\pi(r)^2h\)

Where r = 18, h = 13.5, and pi = 3.14.

\(\begin{gathered} V=\pi\cdot(18)^2\cdot13.5 \\ V\approx13,741(cm)^3 \end{gathered}\)Hence, the approximated volume is 13,741 cubic centimeters.

A polygon has vertices A (5, -1), B (21, 11), C (26, -1), and D (2, -8).
Part A. What is the perimeter of ABCD to the nearest tenth of a unit?
Part B. What is the area of ABCD to the nearest tenth of a square unit?
Enter the correct answers in the boxes.
A. Perimeter: units
B. Area: square units

Answers

Check the picture below.

\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{-1})\qquad B(\stackrel{x_2}{21}~,~\stackrel{y_2}{11}) ~\hfill AB=\sqrt{(~~ 21- 5~~)^2 + (~~ 11- (-1)~~)^2} \\\\\\ ~\hfill AB=\sqrt{( 16 )^2 + ( 12)^2}\implies \boxed{AB=20}\)

\(B(\stackrel{x_1}{21}~,~\stackrel{y_1}{11})\qquad C(\stackrel{x_2}{26}~,~\stackrel{y_2}{-1}) ~\hfill BC=\sqrt{(~~ 26- 21~~)^2 + (~~ -1- 11 ~~)^2} \\\\\\ ~\hfill BC=\sqrt{( 5)^2 + ( -12)^2}\implies \boxed{BC=13} \\\\\\ C(\stackrel{x_1}{26}~,~\stackrel{y_1}{-1})\qquad D(\stackrel{x_2}{2}~,~\stackrel{y_2}{-8}) ~\hfill CD=\sqrt{(~~ 2- 26~~)^2 + (~~ -8- (-1)~~)^2} \\\\\\ ~\hfill CD=\sqrt{( -24)^2 + ( -7)^2}\implies \boxed{CD=25}\)

\(D(\stackrel{x_1}{2}~,~\stackrel{y_1}{-8})\qquad A(\stackrel{x_2}{5}~,~\stackrel{y_2}{-1}) ~\hfill DA=\sqrt{(~~ 5- 2~~)^2 + (~~ -1- (-8)~~)^2} \\\\\\ ~\hfill DA=\sqrt{( 3)^2 + ( 7)^2}\implies \boxed{DA=\sqrt{58}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE Perimeter}}{20~~ + ~~13~~ + ~~25~~ + ~~\sqrt{58} ~~ \approx ~~ \text{\LARGE 65.6}}\)

now, as far as the area goes, let's check the picture below, hmmm, there are two triangles, both have a base of 21, and you can see their heights there, well, let's simply get the area of each triangle and sum them up.

\(\cfrac{1}{2}(21)(12)~~ + ~~\cfrac{1}{2}(21)(7)\implies 126~~ + ~~73.5\implies \text{\LARGE 199.5}\)

A polygon has vertices A (5, -1), B (21, 11), C (26, -1), and D (2, -8).Part A. What is the perimeter

What is the value of y in the triangle?

What is the value of y in the triangle?

Answers

I believe the answer is D. Side y would be 5.19615 which is equivalent to that.

You have two very special dice. One has the numbers 1, 3, and 5 on it (each equally likely). The other has the numbers 2, 4, and 6 on it (each equally likely). If you roll these dice and add the values, what is the expected value of this sum?

Answers

Let X be the number obtained on the first die and Y the number obtained on the second. Let Z be the sum of these numbers, then, Z = X + Y. Since X and Y are independent random variables, E(Z) = E(X + Y) = E(X) + E(Y).Expected value of this sum can be calculated as follows:

Given, two dice have the numbers 1, 3, and 5, and 2, 4, and 6, each equally likely respectively. Expected value of rolling the first die is,

E(X) = (1 × 1/3) + (3 × 1/3) + (5 × 1/3) = 3. So, E(X) = 3.

Expected value of rolling the second die is,

E(Y) = (2 × 1/3) + (4 × 1/3) + (6 × 1/3) = 4. So, E(Y) = 4.  The expected value of sum of X and Y is, E(X + Y) = E(X) + E(Y) = 3 + 4 = 7.Therefore, the expected value of the sum of two dice is 7.

To know more about random visit:

https://brainly.com/question/30789758

#SPJ11

The length of a rectangle is twice its width. The length is 4 1/2 feet. What is the area of the rectangle? Write your answer in simplest form.


The area of the rectangle is

square feet.

Answers

Answer:

84,872 square feet

Step-by-step explanation:

I don't know what your answers are but all I did was devide 412 by 2 to get 206, then multiplied 206 and 412 (width x length) to get 84, 872 square feet.

oh no im just noticing that you said 4 1/2 please ignore my answer omg

Answer:

10.125  squared feet, or 81/8 squared feet

Step-by-step explanation:

If the length is twice the width,

and the length is 4 1/2, or 4.50,

2.25, or 2 1/4 would be half the length, making it the width.

Area is length x width, so 2.25 x 4.50.

That would be 10.125, or 81/8

Type the correct answer in the box. Use numerals instead of words.
For this item, if the answer is not a whole number, enter it as a fraction in simplest form using / as the fraction bar.

Isolde is stacking books. The stack of books forms a rectangular prism.



Each book is the same size. Isolde knows the area of the base of one book is 22 1/2 square inches and each book is 3/4 inch thick.

The volume of a stack of 9 books is cubic inches.

Answers

The volume of a stack of 9 books is 1368.75 cubic inches.

Volume of a book stack

To find the volume of a stack of 9 books, we first need to find the height of the stack. Since each book is 3/4 inch thick, the height of the stack is 9 times 3/4 inch, which is 6 3/4 inches.

Now we need to find the area of the base of the rectangular prism formed by the stack of books. Since each book has an area of 22 1/2 square inches, the total area of the base of the stack is 9 times 22 1/2 square inches, which is 202 1/2 square inches.

Therefore, the volume of the stack of 9 books is:

Volume = Area of base x heightVolume = (202 1/2 square inches) x (6 3/4 inches)Volume = 1368.75 cubic inches

More on volume of stacked books can be found here: https://brainly.com/question/1058070

#SPJ1

A theater has 1,464 seats. The seats are arranged into 62 ​equal-sized "regular" sections plus one​ "premium" front-row section. How many seats are in a regular​ section? How many seats are in the premium​ front-row section? Explain.

Answers

In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

How to find the number of seats in the "regular" sections

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

Learn more about division here:

https://brainly.com/question/29401139

#SPJ1

Parallel lines and tranvsveral

Parallel lines and tranvsveral

Answers

Answer:

66°

Step-by-step explanation:

simply subtract 114 from 180

you'll come out with the answer of 66°.

The perimeter of a rectangle is 61 centimeters. The length is 4.1 centimeters longer than the width, w. Which equation can be used to find the width of this rectangle?

Answers

Answer:

P=2(length+width)

the length is 4.1 cm more than the width: l=4.1+w

61=(2(4.1+w+w))

61=8.2+2w+2w

61-8.2=4w

4w=52.8

w=13.2

Answer:

14 46\14

Step-by-step explanation:

p=L+W

p=61

L=4.1

W=?

61=4.1+W

61=4.1W

61\4.1=4.1\4.1

=14 46\14

Mandy has $2.25 credit on her mobile phone. It costs $0.10 to send a text message. What is the largest amount of text messages she can possibly send to her friends with $2.25?

Answers

Answer:

22.5

Step-by-step explanation:

since 2.25 divided by 0.10 is 22.5 so she can message 22.5 friends

if f(x)=4-3x*2 then f(-2) is

Answers

Answer:

16

Step-by-step explanation:

f(-2)=4-3(-2)*2

f(-2)=4-3(-4)

f(-2)=4+12

f(-2)=16

Every 2.5 hours, a machine produces 150 baskets. What is the unit rate of this proportional relationship?​

Answers

Answer:

60 baskets per hour

Step-by-step explanation:

given that every 2.5 hours, the machine produces 150 baskets

Goal: to express this production rate in number of baskets the machine can produce in 1 hour (i.e obtain the unit rate)

2.5 hours -------> machine produces 150 baskets

1 hour --------> machine produces 150 ÷ 2.5 = 60 baskets

hence the unit rate  of production is 60 baskets per hour

Answer:

60 baskets per hour

Step-by-step explanation:

given that every 2.5 hours, the machine produces 150 baskets

Goal: to express this production rate in number of baskets the machine can produce in 1 hour (i.e obtain the unit rate)

2.5 hours -------> machine produces 150 baskets

1 hour --------> machine produces 150 ÷ 2.5 = 60 baskets

hence the unit rate  of production is 60 baskets per hour

solve for x please help asap

solve for x please help asap

Answers

The value of x in the right triangle is 50.66 units.

What is the value of x in the right triangle?

The value of x in the right triangle is calculated as follows;

Apply trignometry ratio;

SOH CAH TOA

SOH = sin θ = opposite /hypothenuse side

TOA = tan θ = opposite side / adjacent side

CAH = cos θ = adjacent side / hypothenuse side

x is the hypothenuse side of the right triangle while 23 is the adjacent side,

cos 63 = 23/x

x = 23/cos 63

x = 50.66 units

Learn more about trigonometry ratio here: https://brainly.com/question/10417664

#SPJ1

two 6-sided dice are rolled 40 times and the data from each roll is recorded. what are the theoretical odds of how many times the dice landed with the same number?

Answers

Two 6-sided dice are rolled 40 times and the data from each roll is recorded to has 3 even and 3 odd numbers.

Probability of getting even number is

3/6 = 0.5

i.e. 50%

Out of 40 rolls there are 50% chances to get even number. i.e.

50 × 1/100 × 40 = 20

Thus 20 is the answer,

It’s true that the outcome of 20 is the most likely outcome, but is it likely? Actually you’ll only get an outcome of exactly 20 about 12.5% of the time.

57% of the time you’ll get an outcome of 18, 19, 20, 21, or 22.

If you want a range that occurs >95 % of the time, you’ll need to cover 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26.

So, I think it really depends on what exactly you mean by likely.

To know about probability visit here

https://brainly.com/question/11234923

#SPJ4

what type of region must we have if all six bounds (limits of integration) are constant (numerical values, no variables) in cylindrical coordinates? what about in spherical coordinates? is it possible to have a region represented with only constants in both cylindrical and spherical simultaneously (i.e., the same exact region that can be all constants with both systems)?

Answers

If all six bounds (limits of integration) are constant (numerical values, no variables) in cylindrical coordinates, then we must have a rectangular box-like region.

This is because in cylindrical coordinates, we have three variables: radius, angle, and height. When all six bounds are constants, we are essentially fixing the range of each variable, resulting in a rectangular box-like region.

In spherical coordinates, if all six bounds are constant, then we must have a rectangular pyramid-like region. This is because in spherical coordinates, we have three variables: radius, polar angle, and azimuthal angle. When all six bounds are constants, we are essentially fixing the range of each variable, resulting in a rectangular pyramid-like region.

It is not possible to have the exact same region represented with only constants in both cylindrical and spherical coordinates simultaneously. This is because the two coordinate systems have different geometric shapes and different ways of representing the variables. However, it is possible for the regions to have similar shapes and for the bounds to have similar numerical values in both systems.

For more about cylindrical coordinates:

https://brainly.com/question/31046653


#SPJ11

AYUDEEEEEEEEEEEEEENME EESS PARA HOY!!!!

AYUDEEEEEEEEEEEEEENME EESS PARA HOY!!!!
AYUDEEEEEEEEEEEEEENME EESS PARA HOY!!!!

Answers

Answer:

(x+3)(x-3) = x²-9

(a+4)(a-4) = a²-16

(2/3x²y+1/4)(2/3x²y-1/4) = ((4x^4)y²)/9-1/16

(2x²+3y³)(2x²-3y³) = 4x^4-9y^6

(b-2)(b-2)(b-2) = b³-6b²+12b-8

Step-by-step explanation:

(x+3)(x-3) = x²-9

(a+4)(a-4) = a²-16

(2/3x²y+1/4)(2/3x²y-1/4) = ((4x^4)y²)/9-1/16

(2x²+3y³)(2x²-3y³) = 4x^4-9y^6

(b-2)(b-2)(b-2) = b³-6b²+12b-8

6- A two-dimensional strain field is given by: Ex =c(-4.5x2+10.5y?) &y=c(1.5x27.5y?) Yxy =1.5bxy where b and c are nonzero constants. a) What should the relationship between b and c be if this field is to satisfy the strain compatibility conditions? b) Determine the displacements u and v corresponding to this field of strain at point (3,7) if they are zero at point(0,0). Use as a value of 2.5 for c.

Answers

a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

To learn more about derivatives visit;

https://brainly.com/question/29144258

#SPJ4

what is the probability of getting all tails? express your answer as a simplified fraction or a decimal rounded to four decimal places.

Answers

The probability of getting all tails when flipping a coin three times can be calculated using the multiplication rule of probability. For each flip of the coin, there are two possible outcomes: heads or tails.

Assuming the coin is fair, both outcomes are equally likely, so the probability of getting tails on any one flip is 1/2.

To calculate the probability of getting all tails in three flips, we need to multiply the probabilities of getting tails on each individual flip. Since the flips are independent events (i.e. the outcome of one flip does not affect the outcome of another flip), we can simply multiply the probabilities together:

P(all tails) = P(tails on first flip) x P(tails on second flip) x P(tails on third flip)

= (1/2) x (1/2) x (1/2)

= 1/8

Therefore, the probability of getting all tails when flipping a coin three times is 1/8 or 0.125 when expressed as a decimal rounded to four decimal places.

To learn more about “probability” refer to the https://brainly.com/question/13604758

#SPJ11


The output values for y = x² and y = 15 + x show patterns. Describe in words how the patterns differ. Use the words increase and decrease in your description.

Answers

The pattern in y = x² exhibits a nonlinear increase in y as x increases, forming a U-shaped curve, while the pattern in y = 15 + x shows a linear increase in y as x increases at a constant rate.

The patterns in the equations y = x² and y = 15 + x differ in terms of the direction of change. In the equation y = x², the pattern shows an increase in y as x increases.

As x increases from negative to positive values, the corresponding y values also increase, forming a symmetric U-shaped curve. The rate of increase for y becomes steeper as x moves further away from zero.

On the other hand, in the equation y = 15 + x, the pattern shows a linear increase in y as x increases. As x increases, the corresponding y values increase in a straight line.

The rate of increase for y remains constant at one unit per increase in x. This linear pattern reflects a constant upward shift of the graph as x increases.

For such more questions on Nonlinear:

https://brainly.com/question/30294608

#SPJ11

3x^3 + 3ax +2ax^2 + 2a^2

Show work if possible. Thanks!

Answers

Answer:

(2a + 3x)(x^2 + a)

Step-by-step explanation:

Factor 3x3 +3ax+ 2ax^2 +2a^2

2ax^2 + 3x^3 + 2a^2 + 3ax

=(2a+3x)(x^2+a)

Other Questions
Name two reasons why having an advanced road system as the Romans had was beneficial. It's important! And due today! How do novelists, like the author of Julie of the Wolves, use a novel's conflicts to develop its themes? (b) If the Stock's risk free (Rf) is 8%, the expected market return (ERm) is 14% and the stock's Beta (B) is 0.7. A Stock's expected dividend (D1) is K1.43 and it has a growth rate of 6.6%. The stock sells for K25.54 Find the cost of each stock using i. The Dividend Growth Model Ke = D1/P0 + g% 2 marks ii. CAPM model Rf + B(ERM -Rf) 2 marks (c) Assume the equity beta for company XYZ is 0.55. The yield on a 10 year Treasury Bill is 3% and you estimate the market risk premium to be 6%. Furthermore, XYZ issues dividends at an annual rate of K2.81. Its current stock price is K92 and you expect dividends to increase at a constant rate of 4% per year. Estimate the cost of equity in two ways: - (i) CAPM Model 2 marks (ii) The Dividend Growth Model 2 marks Here is a data set: 40 35 31 34 34 67 48 43 41 42 49 50 30 41 52 30 42 48 43 58 49 48 40 38 38 43 62 57 63 53 You are examining the data with a stem-and-leaf plot. Here is the start of the plot. Finis what is important of Trade Leah has five older brothers and one identical twin sister.Identify all the logical conclusions regarding Leah's siblings.There are two girls in Leah's family.There is one girl in Leah's family.The firstborn child in Leah's family is a boy.There are seven children in Leah's family.Leah is the firstborn child in her family.Leah and her sister look alike.There are five boys in Leah's family.There are six children in Leah's family. Mrs. Joyce calculated the class mode on her latest test. 18 students took it and the mode was 83. Three days later the four absent kids made it up and scored 77, 83, 68, and 80. What is the new mode Kyle spent 37 minutes swimming last night. How many seconds did hespend swimming? what is a common obstacle that every civilization must face DLearning Task No. 2: Based on your observations, determine if the given solu-tions are either saturated or unsaturated.1.A 500 g of flour completely dissolved in 1 liter of water.2. When another 200 g of flour was added in the solution, the additional flour was not dissolved com-pletely and settled3. The solutions cannot hold any more solute when added in the solution.One pack of gelatin powder completely dissolved in 400 g water.5. The milk powder cannot be dissolved anymore in a cup of water.i need answer D is the midpoint of AB. If AD=2x+11 and DB=4x-5, find the value of x and AB which of the following is true of convenience sampling? multiple choice it allows researchers to measure the representativeness of a sample. it allows researchers to generalize the data collected to a defined target population. it is commonly used in the later stages of research. it is a nonprobability sampling method. it is a time-consuming process if there is a large number of respondents. How did early hunter-gatherers affect the physical environment?PLZZZZZZZ HURRY 6. What is Ponyboy comparing Two-Bit to when he calls him a "chessy cat" on page 27? If the united state president doae not like a law, he can it Overall, which of the following best describes the function of the second paragraph of the passage?It defines the reasons for Kennedy's frustration with the steel company executives.It establishes a sense of patriotism through which Kennedy will develop his speech.OIt explains the conditions Kennedy will claim are contributing to the rise in steel prices.It itemizes the grievances Kennedy will then use to rally the audience to action.It provides the foundation on which Kennedy will call for a boycott of steel. Use the Commutative and Associative Properties to find the expressionequivalent to (-3.3x + (-3.2)) + (5.7x + (1)).-3.3x + (-3.2) + 5.7x + (-1)(-3.3x (-1)) + ((-3.2)x - 5.7)(-3.3x + (-3.2)) + (5.7x- (-1))(-3.3x + 5.7x) + ((-3.2) + (-1)) Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.Sean asked 10 of his classmates the amount of their weekly allowance. He recorded the information in this table.$15 $15$22 $14$12 $24$16 $25$15 $15Match the measures with their values.1512227713third quartilefirst quartileinterquartile rangerange What is the equation for a circle with a radius of 7 and center at (- 6,2)? solve the inequality plz i need help asapx/3-2