find domain and range of x²-9/x-3​

Answer:

\(X=12.125\%\)

Step-by-step explanation:

From the question we are told that:

Cost Price \(CP=734\)

Sale Price \(SP=823\)

Generally the equation for Profit  P is mathematically given by

 \(Profit=SP-CP\)

 \(P=823-734\)

 \(P=89\)

Therefore as a percentage

Percentage Profit X is given as

 \(X=\frac{89}{734}*100\)

\(X=12.125\%\)

Answer:

The answer would be A and B

Step-by-step explanation:

I really did not have an explanation because I found out by guessing because I did not understand. :)

Answer:

1.5 white 2 blue

Step-by-step explanation:

Answer:

if i'm not mistaken the answer is B

Answer:

Ans for the solution is B

The account will take approximately 5.72 years to be worth $2,752.00 (rounded to 2 decimal places).

To find the number of years it takes for the account to be worth $2,752.00, we can use the formula for compound interest:

A = P(1 + r/n)^(n*t)

Where:

A = Final amount ($2,752.00)

P = Principal amount ($1,197.00)

r = Annual interest rate (9% or 0.09)

n = Number of times interest is compounded per year (assumed to be 1, annually)

t = Number of years (to be determined)

Plugging in the given values, the equation becomes:

$2,752.00 = $1,197.00(1 + 0.09/1)^(1*t)

Simplifying further:

2.297 = (1.09)^t

To solve for t, we take the logarithm of both sides:

log(2.297) = log((1.09)^t)

Using logarithm properties, we can rewrite it as:

t * log(1.09) = log(2.297)

Finally, we solve for t:

t = log(2.297) / log(1.09)

Evaluating this expression, we find:

t ≈ 5.72 years

Therefore, it will take approximately 5.72 years for the account to be worth $2,752.00.

In final answer format, the number of years is approximately 5.72 (rounded to 2 decimal places).

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Answer:

14

Step-by-step explanation:

add both values and equals them to 180.then solve the equation and find X you will get 14

Answer: I think x = 14

Step-by-step explanation:

7x - 1 + 6x - 1 + 7x -1 + 6x -1

(vertically opposite angles are equal)

collect like terms:

26x - 4 = 360

(angles around a point = 360 degrees)

+4 to both sides

26x = 364

x = 14

The measure of angle ABD is 76° and the measure of angle DBE is 104°.

Given that, the measure of angle ABE is 180°.

∠ABC=3x+5 and ∠CBE=2x+10.

Here, ∠ABC+∠CBE=∠ABE

3x+5+2x+10=180°

5x+15=180°

5x=165°

x=33°

So, ∠ABC=3x+5=104° and ∠CBE=2x+10 = 76°  

Angle CBE = Angle ABD = 76°

Angle ABC = Angle DBE = 104°

Therefore, the measure of angle ABD is 76° and the measure of angle DBE is 104°.

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There is a change of 1/2 for Adam to get strictly more heads than Ben.

The likelihood that Ben will get more heads than Adam is equal to the likelihood that Ben will get more tails than Adam. (by symmetry)

If Ben and Adam each have n+1 (101) coins, then Ben will receive more heads or even more tails than B, but never both.

Considering (1) and (2), we find that there is a 50% chance that Adam will get more heads than Ben.

Thus, there is a change of 1/2 for Adam to get strictly more heads than Ben.

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Answer:

25% of 5000 is 1250, so the man sold it for 3750

Step-by-step explanation:

Answer:a man bought an item for 5000.00 and sold it at a loss of 25%. how much did he sell it​

    answer:

3750?

how i did it:

not sure if this is 100% correct but i did 25% of 5000 which would be 1250 and then did 5000-1250 which would be £3750

Step-by-step explanation:

Please mark me as brainliest .Thank you so much

True. Birth statistics typically include data on both live births and fetal deaths.

Fetal deaths refer to the loss of a pregnancy before the fetus is delivered and can be classified as either early or late fetal deaths, depending on the gestational age at the time of the loss. While the focus of birth statistics is often on live births, tracking fetal deaths is important for monitoring the health of pregnant women and identifying potential risks or problems with pregnancy. In the United States, fetal death statistics are typically collected by state health departments and reported to the National Vital Statistics System. These statistics provide important information for researchers, healthcare providers, and policymakers working to improve maternal and fetal health outcomes.

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The pattern {1, 3, 5, ...} is an arithmetic sequence with the following rule:

\(a_n = 1 + 2(n - 1)\).

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

\(a_n = a_1 + (n - 1)d\)

In which \(a_1\) is the first term.

The pattern {1, 3, 5, ...} has first term and common difference given, respectively, by:

\(a_1 = 1, d = 2\)

Hence the rule for the pattern is given by:

\(a_n = 1 + 2(n - 1)\).

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Answer:

6,192

Step-by-step explanation:

Answer:

V =282.6 in ^3

Step-by-step explanation:

The volume of a cylinder is

V = pi r^2 h

We know pi = 3.14 r= 3 and h =10

V = 3.14* 3^2 *10

V =282.6

Answer:

You will need to draw this out yourself.

Step-by-step explanation:

But to map each point, you find the x (left or right) then y (go up or down).

For example, point A is -1,7

so move one block to the left is -1, move your finger up 7 (line inbetween 6 and 8) that is point A.

Draw for all the others, connect each group of three points to draw the triangle

The Balmer series, the second line would have ni = 4, indicating that the electron transitions from the fourth energy level to the second energy level.

The Balmer series is a series of spectral lines in the emission spectrum of hydrogen. It corresponds to transitions of electrons in hydrogen atoms from higher energy levels (initial states) to the second energy level (final state) with nf = 2.

In the Balmer series, the first line is associated with an initial energy level ni = 3. This means that the electron starts in the third energy level and transitions to the second energy level (nf = 2). Each line in the series corresponds to a different transition between energy levels.

Based on this information, the second line in the Balmer series would correspond to a transition where the electron starts from the fourth energy level (ni = 4) and ends up in the second energy level (nf = 2). This transition represents a higher energy change compared to the first line in the series.

Therefore, for the Balmer series, the second line would have ni = 4, indicating that the electron transitions from the fourth energy level to the second energy level.

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The highest point on the graph of the normal density curve is located at its mean represented by μ.

The highest point on the graph of the normal density curve is located at its mean. The normal density curve or the normal distribution is a bell-shaped curve that is symmetric about its mean. The mean of a normal distribution is the measure of the central location of its data and it is represented by μ. It is also the balancing point of the distribution. In a normal distribution, the standard deviation (σ) is the measure of how spread out the data is from its mean.

It is the square root of the variance and it determines the shape of the normal distribution. The normal distribution is an important probability distribution used in statistics because of its properties. It is commonly used to represent real-life variables such as height, weight, IQ scores, and test scores.

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(a) Forecast: Linear regression  the next year is approx 191.6007.

(b) MSE: Mean Squared Error is approximately 249.1585.

(c) MAPE: Mean Absolute Percent Error is approximately 10.42%.

(a) (a) Forecast using linear regression:
To forecast the number of disk drives for the next year, we can use linear regression to fit a line to the given data points. The linear regression equation is of the form y = mx + b, where y represents the number of disk drives and x represents the year.

Calculating the slope (m):
m = (Σ(xy) - n(Σx)(Σy)) / (Σ(x^2) - n(Σx)^2)

Σ(xy) = (1)(140) + (2)(160) + (3)(190) + (4)(200) + (5)(210) = 2820
Σ(x) = 1 + 2 + 3 + 4 + 5 = 15
Σ(y) = 140 + 160 + 190 + 200 + 210 = 900
Σ(x^2) = (1^2) + (2^2) + (3^2) + (4^2) + (5^2) = 55

m = (2820 - 5(15)(900)) / (55 - 5(15)^2)
m = (2820 - 6750) / (55 - 1125)
m = -3930 / -1070
m ≈ 3.6729

Calculating the y-intercept (b):
b = (Σy - m(Σx)) / n
b = (900 - 3.6729(15)) / 5
b = (900 - 55.0935) / 5
b ≈ 168.1813

Using the equation y = 3.6729x + 168.1813, where x represents the year, we can predict the number of disk drives for the next year. To do so, we substitute the value of x as the next year in the equation. Let's assume the next year is represented by x = 6:

y = 3.6729(6) + 168.1813
y ≈ 191.6007

Therefore, according to the linear regression model, the predicted number of disk drives for the next year is approximately 191.6007.

(b) Calculation of Mean Squared Error (MSE):

To calculate the Mean Squared Error (MSE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.

First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.

Predicted values:

Year 1: y = 3.6729(1) + 168.1813 = 171.8542
Year 2: y = 3.6729(2) + 168.1813 = 175.5271
Year 3: y = 3.6729(3) + 168.1813 = 179.2000
Year 4: y = 3.6729(4) + 168.1813 = 182.8729
Year 5: y = 3.6729(5) + 168.1813 = 186.5458
Next, we calculate the squared difference between the predicted and actual values, and then take the average:

MSE = (Σ(y - ŷ)^2) / n

MSE = ((140 - 171.8542)^2 + (160 - 175.5271)^2 + (190 - 179.2000)^2 + (200 - 182.8729)^2 + (210 - 186.5458)^2) / 5

MSE ≈ 249.1585

The Mean Squared Error (MSE) for the linear regression model is approximately 249.1585.

This value represents the average squared difference between the predicted values and the actual values, providing a measure of the accuracy of the model.

(c) Calculation of Mean Absolute Percent Error (MAPE):

To calculate the Mean Absolute Percent Error (MAPE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.

First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.

Predicted values:

Year 1: y = 3.6729(1) + 168.1813 ≈ 171.8542
Year 2: y = 3.6729(2) + 168.1813 ≈ 175.5271
Year 3: y = 3.6729(3) + 168.1813 ≈ 179.2000
Year 4: y = 3.6729(4) + 168.1813 ≈ 182.8729
Year 5: y = 3.6729(5) + 168.1813 ≈ 186.5458

Next, we calculate the absolute percent error for each year, which is the absolute difference between the predicted and actual values divided by the actual value, multiplied by 100:

Absolute Percent Error (APE):

Year 1: |(140 - 171.8542) / 140| * 100 ≈ 18.467
Year 2: |(160 - 175.5271) / 160| * 100 ≈ 9.704
Year 3: |(190 - 179.2000) / 190| * 100 ≈ 5.684
Year 4: |(200 - 182.8729) / 200| * 100 ≈ 8.563
Year 5: |(210 - 186.5458) / 210| * 100 ≈ 11.682
Finally, we calculate the average of the absolute percent errors:

MAPE = (APE₁ + APE₂ + APE₃ + APE₄ + APE₅) / n

MAPE ≈ (18.467 + 9.704 + 5.684 + 8.563 + 11.682) / 5 ≈ 10.42

The Mean Absolute Percent Error (MAPE) for the linear regression model is approximately 10.42%.

This value represents the average percentage difference between the predicted values and the actual values, providing a measure of the relative accuracy of the model.

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After making a $150 deposit in the bank in one year, two years, and three years, Homer will have a total of $689 in the bank in four years, considering the interest rate of 5.6%.

Let's break down the problem step by step. In one year, Homer makes a $150 deposit. After one year, his initial deposit will earn interest at a rate of 5.6%. Therefore, after one year, his account balance will be $150 + ($150 * 0.056) = $158.40.

After two years, Homer makes another $150 deposit. Now, his initial deposit and the first-year balance will both earn interest for the second year. So, after two years, his account balance will be $158.40 + ($158.40 * 0.056) + $150 = $322.46.

Similarly, after three years, Homer makes another $150 deposit. His account balance at the beginning of the third year will be $322.46 + ($322.46 * 0.056) + $150 = $494.62.

Finally, after four years, Homer's account balance will be $494.62 + ($494.62 * 0.056) = $689.35, which rounds down to $689. Therefore, Homer will have $689 in the b in four years, considering the interest rate of 5.6%.

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Answer:

62 mph

Step-by-step explanation:

Answer:

A plane extends infinitely in two dimensions. It has no thickness. An example of a plane is a coordinate plane. A plane is named by three points in the plane that are not on the same line.

Step-by-step explanation:

\(\bf Step-by-step~explanation:\)

Remember: In math, a plane is a flat, two-dimensional surface that stretches infinitely far in all directions.

An example of a plane would be the photo below.

The purple rectangle is one plane, and the brown one is another one. If there are points there, then they would be on both planes if the points lie exactly on the intersection between the two planes.

We label planes when they have a letter (K, M, etc.), or if there are three non - collinear points on one plane, we take those letters and make them into the plane's name. (ex: Plane AGE, QDE, etc.)

The height of a cylinder having surface area of 78π and radius of 3 inches is 10 inches.

What is surface area?

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space taken up by its outer surface. Square units are used to measure it as well.

The surface area of a cylinder is = 78π in²

The radius of a cylinder is = 3 in

The total surface area of a cylinder is equal to the sum of the areas of all its faces. The total surface area with radius ‘r’, and height ‘h’ is equal to the sum of the curved area and circular areas of the cylinder.

The formula is given as -

2πr(h + r)

Substitute the values into the equation -

TSA = 2πr(h + r)

78π = 2π(3)(h + 3)

78π = 6π(h + 3)

78π = 6πh + 18π

6πh = 78π - 18π

6πh = 60π

h = 60π/6π

h = 10 in

Therefore, the height is obtained as 10 inches.

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The surface area of a cylinder with a radius of 3 inches is 78π square inches. What is the height of the cylinder in inches? (Do not enter units)

Answer:

Down below

Step-by-step explanation:

P = 2L + 2W

P = 108

L = 2W+12

108 = 2(2W+12) + 2W

108 = 4W + 24 + 2W

108 = 6W + 24

84 = 6W

14 = W

W = 14

If the width is 14, then the length is twice that plus 12, or 38

38 + 38 + 14 + 14 = 108

Answer:

The third answer is correct.

Step-by-step explanation:

You are going to translate the smaller quadrilateral (4 sided figure) to the larger quadrilateral.  Then you need the scale factor from the smaller figure to the larger.  

Side EF times the scale factor will give you side AB.  Let's call the scale factor s then our equation would be:

EF x s = AB  To find s divide both sides by EF

\(\frac{EF(s)}{EF}\) = \(\frac{AB}{EF}\)

s = \(\frac{AB}{EF}\)  This is our scale factor.

Helping in the name of Jesus.

Step-by-step explanation:

3(4 *to the power of 2* - 3*to the power of 2*)

24-23 x 3

3*to the power of 3* - 3*to the power of 2

(6*to the power of 2* - 3) (9*to the power of 2* - 70)

Hence, Option d. is the correct answer because it gives answer 3 when it is solved.

The value of the double integral ∬R (y/(1 + x²)) dA over the region R, bounded by the graphs of y = 0, y = x, and the line x = 4, is (1/2) * ln|17|.

To evaluate the double integral ∬R (y/(1 + x²)) dA over the region R, bounded by the graphs of y = 0, y = x, and the line x = 4, we need to set up the integral using appropriate limits of integration.

Since y ranges from 0 to x and x ranges from 0 to 4, the integral can be expressed as:

∬R (y/(1 + x²)) dA = ∫[0,4]∫[0,x] (y/(1 + x²)) dy dx

Now, let's integrate with respect to y first:

∫[0,x] (y/(1 + x²)) dy = (1/(1 + x²)) * (y^2/2) |[0,x]

                            = (1/(1 + x²)) * (x^2/2)

Substituting this into the remaining integral:

∫[0,4] (1/(1 + x²)) * (x^2/2) dx

Next, integrate with respect to x:

(1/2) * ∫[0,4] (x²/(1 + x²)) dx

To solve this integral, we can use a substitution. Let's substitute u = 1 + x², then du = 2x dx:

(1/2) * ∫[1,17] (1/u) du = (1/2) * ln|u| |[1,17]

                        = (1/2) * ln|17| - (1/2) * ln|1|

                        = (1/2) * ln|17|

Therefore, the value of the double integral ∬R (y/(1 + x²)) dA over the region R bounded by y = 0, y = x, and x = 4 is (1/2) * ln|17|.

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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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The area of the page is 28 square inches. Width of the rectangular page is 4 inches and its length is 4 + 3 = 7 inches. Hence, the area of the page is 28 square inches.

Why will be the area of the page is 28 square inches ?

A rectangular page is to contain 36 square inches of print. The margins on each side are 1.5 inches. What is the area ?to find the dimensions of the page, follow the steps below :Let the width of the rectangular page be x inches. Let the length of the rectangular page be y inches. Area of the page is given by :x × y = 36 square inches.(1)Margins on each side are 1.5 inches. Width of the printable region is: x − (2 × 1.5) = x − 3 inches Length of the printable region is: y − (2 × 1.5) = y − 3 inches. Area of the printable region is:(x − 3) × (y − 3) square inches.(2)The least amount of paper used will be when the area of the printable region is maximized or the dimensions of the page are minimized. To maximize the area of the printable region, take the derivative of (2) with respect to x and equate it to zero. Then solve for y. dx/dt = y - 3 = 0y = 3Therefore, length of the printable region is 3 inches more than the width. Thus, the dimensions of the page are :x × (x + 3) = 36 square inchesx2 + 3x - 36 = 0(x + 9)(x - 4) = 0x = 4 inches Therefore, the width of the rectangular page is 4 inches and its length is 4 + 3 = 7 inches .Area of the rectangular page is:4 × 7 = 28 square inches.

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Answer:

Option D: 7/3x

Step-by-step explanation:

Because this line passes through the origin (0,0), we know that there is know b-value according to the equation y = mx + b. To figure out the equation, we must first calculate the slope of the linear function.

Slope = △y/△x

△y (change in y) = -7

△x (change in x) = -3

Therefore, the slope is 7/3 and the equation is y = 7/3x.