is this table linear, exponential or quadratic?

Answer:

12

Step-by-step explanation:

sum of all angles of triangle =180

3x-12+2x+11x=180

16x-12=180

16x=192

x=12

___________

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3x - 12 + 2x + 11x = 180°

16x - 12 = 180°

16x = 180 + 12

16x = 192

x = 192 ÷ 16

x = 12✔ (D.)

Answer:

Let's first convert 1/6 mile into minutes by multiplying the distance by the number of minutes per mile:

1/6 mile * (1 minute/1/6 mile) = 6 minutes/mile

Next, let's convert the 7/9 minutes into miles:

7/9 minutes * (1/6 mile/minute) = 7/9 * 1/6 mile = 7/54 miles

Now that we have the distance and time in the same units, we can calculate Ed's speed as:

Speed = Distance / Time = 7/54 miles / 7/9 minutes = 7/54 miles / (7/9 * 1 minute) = 7/54 miles / (7/9) minutes = 7/54 miles / (7/9) = 54/7 miles/minute

So, Ed's speed is 54/7 miles per minute.

Step-by-step explanation:

Answer:

x=1

y=2

Step-by-step explanation:

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.

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Answer:

3x^2 + 3  -->  6, 15, 30, 51

2x^2 - 1    -->  1, 7, 17, 31

x^2 + 2     -->  3, 6, 11, 18

Step-by-step explanation:

Let's start with the first equation; 3x^2 + 3

Substitute 1 (the first digit in a sequence) for x.

3(1^2) + 3

3(1) + 3

3 + 3 = 6

3(2^2) + 3 Then the second digit.

3(4) + 3

12 + 3 = 15

Since the two numbers we have so far are 6 and 15, there is only one sequence this could match. 6, 15, 30, 51.

2(1^2) - 1

2(1) - 1

2 - 1 = 1

This equation represents 1, 7, 17, 31.

These same steps apply to the other equation as well.

1^2 + 2, then 2^2 + 2, then 2^2 + 2, and so on. (But we don't need to do extra work to figure that out.)

Answer:

All values of x are solutions.

Step-by-step explanation:

Answer:

-------------------------------

Let's assume the volume of syrup is x, then we set up equation:

The general solution to the system of equations is:

x(t) = c1*[1, 1]*exp(0*t) + c2*[1, -1]*exp(2*t)

where c1 and c2 are constants.

To find a linearly independent pair of solutions for the given system of equations, we first need to find the eigenvalues and eigenvectors of the coefficient matrix.

The coefficient matrix is

[ 1 -1 ]

[ 1 -1 ]

The characteristic equation is:

det(A - λI) = 0

where A is the coefficient matrix, λ is the eigenvalue and I is the identity matrix.

Substituting the values we get,

det( [1-λ -1  ] ) = (1-λ)(-1) - (-1)(-1) = λ^2 - 2λ = 0

    [-1  1-λ]

Solving for λ, we get λ=0, λ=2.

Now we need to find the eigenvectors for each eigenvalue λ.

For λ=0, we have:

(A - 0I)x = 0

[1  -1] [x1]   [0]

[1  -1] [x2] = [0]

This gives us the equation x1 = x2. Thus, any vector of the form [t, t] where t is any non-zero constant will be an eigenvector corresponding to λ=0.

For λ=2, we have:

(A - 2I)x = 0

[-1  -1] [x1]   [0]

[ 1  -1] [x2] = [0]

This gives us the equation x1 + x2 = 0. Thus, any vector of the form [t, -t] where t is any non-zero constant will be an eigenvector corresponding to λ=2.

Therefore, a linearly independent pair of solutions is:

x1 = [1, 1], corresponding to λ=0

x2 = [1, -1], corresponding to λ=2

So the general solution to the system of equations is:

x(t) = c1*[1, 1]*exp(0*t) + c2*[1, -1]*exp(2*t)

where c1 and c2 are constants.

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The K&N stand after the name of the owners of the company,the K & N filter is named after Ken Johnson and Norm McDonald .

Yes, K&N intakes do in fact guarantee an improvement in horsepower and torque. Installing a cold air intake is among the quickest ways to increase your car's airflow, power, and throttle response.

The features of k& N filter include, a cutting-edge design of oiled, layered cotton media created to improve performance and offer outstanding engine protection. From off-road to the on-ramp, shield your engine with the filter that countless motorists have relied on since 1969.

The K & N filter is named after Ken Johnson and Norm McDonald when they decided to go into business together and opened a motorcycle shop.

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Answer:

0.555dollar=55.5 cents

Answer:

19

Step-by-step explanation:

tigers=38 goals

clubs=19 fewer than tigers

equation: 38-19=19

Answer:

x=29

Step-by-step explanation:

4x-18+5x-71=180

9x=269

x=29

Answer:

1. 8(3 + 7)  2. 80

Step-by-step explanation:

the sum, +, of 3 and 7  so 3 + 7. multiplied, (), by eight so 3 + 7 times 8 or

8(3 + 7)

which is

24 + 56

80

Answer:

(-2,1 ) (1,4) (-2,4)

Step-by-step explanation:

x= 3

Step-by-step explanation:

=> -4x – 5 + 2x = -11

=> -2x = -11+5

=> -2x = -6

=> x= 6/2

=> x= 3

Answer:

x = 3

Step-by-step explanation:

-4x  + 2x - 5 = -11

Combine like terms

-2x - 5 = -11

Add 5 to both sides

-2x = -11 + 5

-2x = -6

Divide both sides by (-2)

x = -6/-2

x = 3

Answer:

40 Hours

Step-by-step explanation:

20=4

40=8

60=12

80=16

100=20

120=24

140=28

160=32

180=36

200=40

At t = 4π, dx/dy = 0 and d²y/dx² is undefined.

To find dx/dy, we differentiate both x and y with respect to t and then divide dx/dt by dy/dt:

Given:

x = 2cos(t)

y = 2sin(t)

Differentiating with respect to t:

dx/dt = -2sin(t)

dy/dt = 2cos(t)

Now, we can calculate dx/dy:

dx/dy = (dx/dt) / (dy/dt)

= (-2sin(t)) / (2cos(t))

= -tan(t)

To find d²y/dx², we differentiate dx/dy with respect to t and divide by dy/dt:

Differentiating dx/dy with respect to t:

d(dx/dy)/dt = d/dt(-tan(t))

= -sec²(t)

Now, we can calculate d²y/dx²:

d²y/dx² = (d(dx/dy)/dt) / (dy/dt)

= (-sec²(t)) / (2cos(t))

= -sec(t) / (2cos(t))

= -1 / (2sin(t))

To evaluate dx/dy and d²y/dx² at t = 4π,

substitute t = 4π into the expressions:

dx/dy = -tan(4π) = 0 (since tan(4π) = 0)

d²y/dx² = -1 / (2sin(4π)) = -1 / (2(0)) = undefined

Therefore, at t = 4π, dx/dy = 0 and d²y/dx² is undefined.

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Answer:

p = 7

Step-by-step explanation:

Look at the picture hope this helps!

Answer:

option 6b):) is correct

Answer:

Inequality

\(-22<m<12\)

Interval Notation

\((-22,12)\)

Reasoning:

First of all, subtract nine on both sides.

\(| m + 5|<17\)

Now make two equations

\(|m+5|=-17\)

\(m=-22\)

\(|m+5|=17\)

\(m=12\)

Now you can make an inequality for m:

\(-22<m<12\)

Answer:

\(\sqrt{-16} +8\)

\(=4i+8\)

OAmalOHopeO

Answer:

The normal heart rate of the bear is 50 bpm

Step-by-step explanation:

20% of the normal rate (let's assign the letter 'x' to this) is 10 bpm.

So we can write the equation:

\(0.2\,*\,x =10\\x=\frac{10}{0.2} \\x=50\)

Answer:

median

Step-by-step explanation:

in a box plot, it does not represent the mean, just so you know.

mode =  largest number.

range =  difference between largest number and smallest number

Step-by-step explanation:

So,

We can tell that the most expensive medication costs $40 and the cheapest costs $24.  Thus, only options A and C are left.

To see which inequality is true, test a value, such as $30, in the equation in option C.

|30 - 32| ≤ 8

|-2| ≤ 8

2 ≤ 8

Option C is correct.

Credit to: SchwarzschildRadius

Answer:

c

Step-by-step explanation:

Answer:

I don't understand the question but I think the answer is either 10 or 30

Answer:

the answer is: The store sold 25 computers and 11 hard drives.

Step-by-step explanation:

Answer:

x = -3

y = -11

Step-by-step explanation:

You want to substitute one of the y's

3x - 2 = 2x - 5

     +2         +2

3x = 2x - 3

-2x   -2x

x = -3

now that you have x, you need to substitute the x to get y

y = 3x - 2

y = 3(-3) - 2

y = -9 - 2

y = -11

or

y=2x-5

y = 2(-3) - 5

y = -6 - 5

y = -11

*they will both be the same no matter which equation you use

Hope this helped!

C. The probability of the type I error best defines the notion of the significance position of a thesis test.

The significance position, denoted by alpha( α), is the probability of rejecting the null thesis(H_o) when it's actually true. This is also known as a type I error, which occurs when we inaptly reject a true null thesis.

Option a isn't correct because the probability of rejecting H_o, whether it's true or not, isn't fixed and depends on the sample and the chosen significance position.

Option b isn't correct because it describes the p- value, which is a affiliated conception but not the significance position. The p- value is the probability of observing a sample statistic as extreme or more extreme than the one actually attained, assuming the null thesis is true.

Option d is also not correct because it describes the probability of a type II error, which occurs when we fail to reject a false null thesis. The probability of a type II error is denoted by beta( β) and is told by factors similar as sample size and effect size.

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