Which relation is not a function?
a) y = 1x + 7
by=- 4(x + 3)2 + 10
c) -2y = - 3x + 9
d) x2 + y2 = 25

Answer:

Step-by-step explanation:

(x1, y1) = (-4 , -9)   ; (x2, y2) = (-10,  -3)

\(Midpoint(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\\\=(\frac{(-4)+(-10)}{2},\frac{(-9)+(-3)}{2})\\\\\\=(\frac{-14}{2},\frac{-12}{2})\\\\\\=(-7 , -6)\)

Answer:

Step-by-step explanation:

Hello!

10*17 = > 170 cm²

(3,14 * 8)/4 =>6,28cm²

170 + 6,28 => 176,28cm²

Answer:

182.56

Step-by-step explanation:

Area of the rectangle = 10 * 17 = 170cm^2

Area of Circle = 8 * 2 * \(\pi\) * 1/4

=> 12.56

=> 170 + 12.56

=> 182.56 is the area

Hope it helps :)

Answer:195

Step-by-step explanation:

516+489=1005

1200-1005=195

The correct option is B) x[] = {36, 78, 12, 24} and y[] = {36, 78, 12, 24}.

The results after the given code was executed is x[] = {36, 78, 12, 24} and y[] = {36, 78, 12, 24}.

An array is a group of elements the same type that are stored in adjacent memory locations and may be accessed individually by using a reference to a unique identifier.

Some key features regarding the array are-

Now, for the given programme,

for(int a = 0; a < x.length; a++)

{

x[a] = y[a];

y[a] = x[a];

}

After execution of the programme, the result obtain will be;

x[] = {36, 78, 12, 24}

y[] = {36, 78, 12, 24}.

Therefore, the output of the given programme is obtained.

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The complete question is-

What would be the results after the following code was executed?

int[] x = {23, 55, 83, 19};

int[] y = {36, 78, 12, 24};

for(int a = 0; a < x.length; a++)

{

x[a] = y[a];

y[a] = x[a];

}

A) x[] = {36, 78, 12, 24} and y[] = {23, 55, 83, 19}

B) x[] = {36, 78, 12, 24} and y[] = {36, 78, 12, 24}

C) x[] = {23, 55, 83, 19} and y[] = {23, 55, 83, 19}

D) This is a compilation error.

The volume of inhaled air at a maximum at t = 2, 4, 6, ...

The volume of inhaled air is at a maximum when the function V(t) is at a maximum. This occurs when the derivative of V(t) is equal to zero.

The derivative of V(t) is:

V'(t) = (3/5) pi * (pi/2) * sin(pi t/2)

Setting this equal to zero gives:

(pi/2) * sin(pi t/2) = 0

This occurs when pi t/2 is equal to a multiple of pi. This means that t/2 is equal to a multiple of 1, or t is equal to a multiple of 2. Therefore, the volume of inhaled air is at a maximum when t = 2, 4, 6, ...

The correct answer is: t = 2, 4, 6, ...

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The only price at which consumer and producer plans can be reconciled is the equilibrium price, which is reached when the quantity of the good that consumers wish to purchase, or quantity demanded, equals the quantity that producers wish to sell, or quantity supplied. The equilibrium quantity is the name given to this common quantity..

What is  equilibrium quantity?

What are the equilibrium quantity and price?

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Answer: So the correct answer would be 256 bulbs.

Step-by-step explanation:

Well, it sounds like Geoff has quite the green thumb! It's great to see his garden growing so well. Well anyway based on the pattern of bulb production you mentioned, where the number of bulbs doubles each year, Geoff should expect 64 bulbs in the fourth year, 128 bulbs in the fifth year, and 256 bulbs in the sixth year. Hope you do good on the rest!

Answer: its 1

Step-by-step explanation:

To be classified as rain, water droplets that fall from a cloud must have a minimum diameter of 0.5 millimeters.

To be classified as rain, water droplets that fall from a cloud must have a minimum diameter of 0.5 millimeters (0.02 inches).

In geometry, the diameter of a circle is the part of a straight line that goes through the center and ends in the circle. It can also be defined as the longest chord of a circle. These two concepts also apply to the diameter of a sphere.

In modern usage, the length d of a diameter is also called a diameter. In this sense, we speak of diameter rather than diameter (referring to the line segment itself), because all diameters of a circle or sphere have the same length, which is twice the radius r.

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Answer:

Alternate exterior angles

Step-by-step explanation:

If they shared a vertex, they would be vertical angles, but since they are on different lines, and alternate sides, the dark blue (alternate exterior angles) answer is correct.

It will take 15/2 hours for Mitch to run 1 mile. Cancelling out the common factors from numerator and denominator, the ratio reduces to 15/2.

Mitch ran 5/2 of a mile in 1/3 of an hour. To calculate how many hours it will take Mitch to run 1 mile, we need to use a ratio. The ratio is (5/2)/(1/3). To solve this, we need to multiply the numerator and denominator of the first fraction with the denominator of the second fraction, and then multiply the numerator and denominator of the second fraction with the denominator of the first fraction. So, the ratio becomes (5/2)*(3/1)/(1/3)*(2/1). Cancelling out the common factors from numerator and denominator, the ratio reduces to 15/2. This means that it will take 15/2 hours for Mitch to run 1 mile.

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The probability of rolling a 4 on the first toss of a standard six-sided die and a 6 on the second toss is 1/36 or approximately 0.0278.

Each toss of a standard six-sided die is an independent event with six possible outcomes (numbers 1 to 6). To find the probability of rolling a 4 on the first toss and a 6 on the second toss, we need to consider the probabilities of each event separately and then multiply them together.

The probability of rolling a 4 on the first toss is 1/6 since there is one favorable outcome (rolling a 4) out of six possible outcomes. Similarly, the probability of rolling a 6 on the second toss is also 1/6.

To find the probability of both events occurring, we multiply the individual probabilities together: (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a 4 on the first toss of a standard six-sided die and a 6 on the second toss is 1/36 or approximately 0.0278.

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The volume of the cylinder with radius r = x - 3 and height h = 2x + 7 is given by the expression V = π ( 2x³ - 5x² - 24x + 63 )

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the radius of the cylinder r = ( x - 3 ) units

Let the height of the cylinder be h = ( 2x + 7 ) units

And , Volume of Cylinder = πr²h

On simplifying the equation , we get

Volume of Cylinder = π ( x - 3 )² ( 2x + 7 )

Volume of Cylinder = π ( x² - 6x + 9 ) ( 2x + 7 )

On further simplification , we get

Volume of Cylinder = π ( 2x³ - 5x² - 24x + 63 )

Hence , the expression for the cylinder is V = π ( 2x³ - 5x² - 24x + 63 )

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D) The example (2x^2 + 5x) + (4x^2 - 4x) = (4x^2 - 4x) + (2x^2 + 5x) illustrates the commutative property of addition for polynomials.

The commutative property of addition for polynomials states that the order in which polynomials are added does not affect the result of the sum. In other words, it states that if we have two polynomials A and B, the result of adding A and B (A+B) will be the same as adding B and A (B+A).

For example, consider the polynomials (2x^2 + 5x) and (4x^2 - 4x). If we add these two polynomials in the order given, (2x^2 + 5x) + (4x^2 - 4x) = 6x^2 + x. Now, if we add these two polynomials in the reverse order, (4x^2 - 4x) + (2x^2 + 5x) = 6x^2 + x. We can see that the order of the polynomials does not affect the result of the sum, and thus it holds the commutative property of addition.

Option (2x^2 + 5x) + (4x^2 - 4x) = (4x^2 - 4x) + (2x^2 + 5x) illustrates the commutative property of addition for polynomials, because it shows that the order of the polynomials does not matter and it gives the same answer.

It is important to note that the other options does not illustrate the commutative property.

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Step-by-step explanation:

Y is directly proportional to X" can be rewritten as a mathematical expression of the form Y = KX

"K" is the constant of proportionality and must be determined from the initial information.

If Y = 2/3 when X=1/12means 2/3=1/12

K = 2/3÷1/12 = 8

Now that we know the value of K, we can use it to calculate the value of Y when X=1/2

Y = (8)(1/2) = 8/2=4

Y=4

Answer:

18

Step-by-step explanation:

18+18+18=54

hope it helps

X+x+x=54

3x=54

X=54/3

X=18

For the answer of factors of expression (12 + 54), in the form of a(b + c), where a is the GCF of 12 and 54 is equals to 6( 2 + 9).

In math, to factor a number means to express it as a product of (other) whole numbers, called its factors. For example, if 7x5 = 35, 7 and 5 are both factors. The divisors that give the remainder to be 0 are the factors of the number. We have an expression of numbers, 12 + 54. We have to write this expression in form of a( b + c), where a is GCF of 12 and 54. Now, we can write the factors of 12 and 54 are 12 = 2×2×3

54 = 2×3 ×3×3

The greatest common factor, GCF of 12 and 54 is 2×3 = 6. So, 12 + 54 = 6× 2 + 6×9

Taking out the common factor 6 from above expression, 6( 2 + 9) which is required form a( b + c). Hence, required expression is 6( 2 + 9).

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A regression model can only predict values that are lower or higher than the actual value. As a result, the only way to determine the model's accuracy is through residuals.

What is regression ?

Regression is a statistical technique used in the fields of finance, investing, and other disciplines that aims to establish the nature and strength of the relationship between a single dependent variable (often represented by Y) and a number of independent variables (known as independent variables).

The most popular variation of this method is linear regression, which is also known as simple regression or ordinary least squares (OLS).

Based on a line of best fit, linear regression determines the linear relationship between two variables.

The slope of a straight line used to represent linear regression thus indicates how changing one variable affects changing another..

In a linear regression connection, the value of one variable when the value of the other is zero is represented by the y-intercept. Regression without linearity.

Hence, A regression model can only predict values that are lower or higher than the actual value.

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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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Step-by-step explanation:

also provide box plot..

Answer:

the answer is 45.4565

Step-by-step explanation:

Answer:

∠ B = 123°, ∠ D = 57°

Step-by-step explanation:

Each lower base angle is supplementary to the upper base angle on the same side.

∠ A and ∠ D are on the same side, then

6x + 12 + 2x + 20 = 180

8x + 32 = 180 ( subtract 32 from both sides )

8x = 148 ( divide both sides by 8 )

x = 18.5

Thus

∠ A = 6x + 12 = 6(18.5) + 12 = 111 + 12 = 123°

∠ D = 2x + 20 = 2(18.5) + 20 = 37 + 20 = 57°

The lower base angles and the upper base angles are congruent, so

∠ B = ∠ A = 123°

∠ C = ∠ D = 57°

Answer:

Step-by-step explanation:

#1). It could be good to provide us with the picture, because the answer depends from the angle we choose for letter A.

--- If angle A is acute, then m∠A = m∠D

and

6x + 12 = 2x + 20 ⇒ x = 2

m∠A = m∠D = 24°

m∠B = m∠C = 180° - 24° = 156°

--- If angle A is obtuse, then m∠A + m∠D = 180°

and

6x + 12 + 2x + 20 = 180 ⇒ x = 18.5

m∠A = m∠B = 6(18.5) + 12 = 123°

m∠D = m∠C = 2(18.5) + 20 = 57°

#2). 12k + 5 = 145

12k = 140

k = \(\frac{35}{3}\) = \(11\frac{2}{3}\)

Answer:

$17

Step-by-step explanation:

15×20=300

300÷100=3

20-3=17

Answer:

The bill would be $17

Step-by-step explanation:

Answer:

12 and 16

Step-by-step explanation:

Turn it into algebra.

Make one of the pieces x. So x+4 is the piece that is 4 feet longer and x is the piece that it is 4 feet longer than.

So x+4+x=28, which is the total length, and if you simplify it, it makes 2x+4=28.

Then you just solve it, so do 28-4=24, and then divide that by 2, which gets 12.

Then you substitute 12 where x has been substituted for the pieces.

One piece is x feet, so that just stays 12, and another piece is x+4, so 12+4 which is 16.

To make sure it's correct, you can check it by doing 16-12=4 and add 12 and 16 together which gets the correct total of 28.

Answer:108 inches

Step-by-step explanation:

to find the area of one of the right triangles you do.

base = 6/2 =3

3x6=18

18/2=9

there are 8 right triangles so you would do

9x8 = 72.

then you would add 72 and the area of the square in the middle

6x6=36

36+72= 108

so Area of SA = 108 inches ^2

What’s the description of the ridged motions

Answer:

6 x 1100% = $66

Step-by-step explanation:

AB/DE = BC/EC = AC/DC

This proportion can help us find the scale factor between the two triangles.

To find the value of x and the scale factor from △DEC to △ABC, we need more information about the problem.

Specifically, we need to know the corresponding sides or ANGLEs that are proportional between the two triangles.

If the triangles are similar, we can establish a ratio between corresponding sides or angles. Let's assume that the corresponding sides are AB and DE, and the corresponding angles are ∠BAC and ∠EDC.

In a similar triangle, the corresponding sides are proportional. We can set up the following proportion:

If you provide more details about the problem, such as the lengths of some sides or angles, I would be able to assist you further and provide a more accurate answer.

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Answer:

−2/3 (10x3 ( raised to the third power) −9 +69)

Step-by-step explanation: