on the same coordinate plane mark all points (x y) that satisfy the rule y=3x-2 SHOW GRAPH

Answer:

Step-by-step explanation:

The recursive form is a(n + 1) = a(n) + 2, with a(1) = 8.

The next term is a(6) = a(5) + 2, which heere is a(6) = 16 + 2 = 18

The equation of the circles graphed below are (x - 2)²+ (y - 3)² = 16 and x² - 4x + y² - 6y + 9 = 0

The circle appears to be centered at points (2,3) and has a radius of 4 units. Therefore, the equation of the circle can be written in the standard form:

(x - 2)²+ (y - 3)² = 16

Alternatively, we can expand the equation and write it in the general form:

x² - 4x + y² - 6y + 9 = 0

Both of these equations represent the same circle with center (2,3) and radius 4.

So, the equation of the circles graphed below are (x - 2)²+ (y - 3)² = 16 and x² - 4x + y² - 6y + 9 = 0.

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Answer:

(x−5)^2+y^2=17

Step-by-step explanation:

trust

The determinant of a skew-symmetric matrix of odd dimension is always 0. A skew-symmetric matrix is a square matrix where the elements below the main diagonal are the negatives of the corresponding elements.

Above the main diagonal. In other words, for a skew-symmetric matrix A, it satisfies the property \(A^T = -A\), where \(A^T\) is the transpose of A.

For any odd-dimensional skew-symmetric matrix, when we take the transpose of the matrix, we end up with the negative of the original matrix. Since the determinant of a matrix is unchanged when taking its transpose, we have \(det(A) = det(A^T) = det(-A)\).

Since -A is a matrix with all the elements negated, each term in the expansion of the determinant will have a corresponding term with the opposite sign. When we sum up these terms, they will cancel each other out, resulting in a determinant of 0.

Therefore, for a skew-symmetric matrix A of odd dimension, the determinant det(A) = 0.

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Answer:

Factor analysis

Step-by-step explanation:

A statistical technique that would allow a researcher to cluster such traits as being talkative, social, and adventurous with extroversion.

The statistical technique that would allow a researcher to cluster is called Cluster Analysis. It is a statistical technique that enables researchers to cluster groups of objects that share certain similarities based on their attributes, observations, or characteristics.What is cluster analysis?Cluster analysis is a data-driven technique that helps in grouping similar objects based on the data provided. It is often used in many fields, including data mining, machine learning, and bioinformatics. Cluster analysis is used to find the natural groupings of objects, which have similar attributes or characteristics. For instance, it is used to group customers based on their behavior, cluster genetic markers in DNA, cluster galaxies in the universe, and much more. Cluster analysis helps in analyzing large datasets by grouping similar objects into smaller groups that are easier to understand.The Cluster analysis technique is a valuable tool in statistical analysis and it is used in different fields like market research, bioinformatics, genetics, etc. It is a method of statistical data analysis that helps researchers identify groups or clusters of data. It is a commonly used technique that is used to identify natural patterns within large datasets.

The profit-maximizing output level and the associated profit are both zero.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

To find the minimum value of SRATC, we need to first find the expression for SRATC:

SRATC = SRTC/q = (200 + 109 + 2q)/q = 309/q + 2

To minimize SRATC, we need to differentiate it with respect to q and set it equal to zero:

d(SRATC)/dq = -309/q² = 0

Solving for q, we get q = √(309).

Substituting q back into the expression for SRATC, we get the minimum value of SRATC:

\(SRATC_{min}\) = 309/√(309) + 2 ≈ 17.22

Therefore, the value of q that minimizes SRATC is √(309) and the minimum cost value of SRATC is approximately $17.22.

If the market price is $90, the profit-maximizing value of q can be found by setting marginal cost equal to price:

MC = d(SRTC)/dq = 109 + 4q/3 = 90

Solving for q, we get q = (3/4)(90 - 109) = -14.25, which is not a feasible value since q has to be non-negative.

Therefore, the firm would not produce any output at a price of $90.

If we assume that the firm can produce any positive amount of output, the profit-maximizing value of q would be where marginal cost equals marginal revenue, which is also equal to price under perfect competition.

Since marginal revenue equals price for a perfectly competitive firm, we have:

MR = price = $90

Setting MR = MC, we get:

90 = 109 + 4q/3

Solving for q, we get q = (3/4)(90 - 109) = -14.25, which is not a feasible value.

Therefore, the firm would not produce any output at a price of $90, regardless of the assumption of being able to produce any positive amount of output.

Hence, the profit-maximizing output level and the associated profit are both zero.

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Answer:

1 pound of blueberries cost $2.75 and 12 pounds of blueberries cost $33

Step-by-step explanation:

Divide $16.50 by 6, that's how you find out how much 1 pound of blueberries costs

Answer:

125%

Step-by-step explanation

125% of 12 is 15

Answer:

0.8 or 80%

Step-by-step explanation:

12/15=0.8 or 80%

8/19 or 42.1%

add all values up to a total, then find the percentage from that total.

8 + 2 + 1 + 3 + 5 = 19 balls total

8 tennis valls to 19 total.

8/19 or 42.1%

The length will then be L = 18(41/19) = 738/19 cm.

As a check, the area should be A = LW = (738/19)(41/19) = 30258 cm2

sorry if this isn't much help but i had a similar problem once and i used the same steps for your question

The present value of Mark's prize, considering the $10,000 annual payments for 10 years and the subsequent $20,000 annual payments for 30 years, with an 8% discount rate, amounts to $171,391.44.

To calculate the present value of Mark's prize, we need to determine the current worth of the future cash flows he will receive. The $10,000 annual payments for 10 years can be considered an annuity, while the subsequent $20,000 annual payments for 30 years can be viewed as a perpetuity starting from the 11th year.

First, we calculate the present value of the annuity using the formula for the present value of an ordinary annuity:

PV_annuity = \(C * [1 - (1 + r)^(-n)] / r\),

where PV_annuity is the present value of the annuity, C is the annual cash flow, r is the discount rate, and n is the number of years. Plugging in the values, we have:

PV_annuity = $10,000\(* [1 - (1 + 0.08)^(-10)] / 0.08\) = $85,394.45.

Next, we calculate the present value of the perpetuity using the formula for the present value of a perpetuity:

PV_perpetuity = C / r,

where PV_perpetuity is the present value of the perpetuity. Plugging in the values, we have:

PV_perpetuity = $20,000 / 0.08 = $250,000.

Finally, we sum up the present values of the annuity and the perpetuity to obtain the total present value:

Total present value = PV_annuity + PV_perpetuity = $85,394.45 + $250,000 = $335,394.45.

Therefore, with an 8% discount rate, the present value of Mark's prize is $171,391.44.

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Answer:

the answer is 130

Step-by-step explanation:

Answer:

130

Step-by-step explanation:

when adding you positive number to a negative number you have to subtract. so to make it easier im going to change it from -240 +370 to

370-240 and solve

370-240=130

have a great day :D

Answer:

E (0,0)

F (10,0)

D (0,10)

G (10,10)

Hope this helps!

Answer:

x=-1

Step-by-step explanation:

6(x-2)=-18

6x-12=-18

6x=-6

x=-1

Answer: x= -1

Step-by-step explanation:

divide both sides by 6

add 2 to each side

The required minimum sample size is 2875

Given that,

A government organization wanted to determine how many drivers between the ages of 16 and 24 had recently engaged in an accident. The agency wanted to make the estimate with a 90% confidence level and within one percentage point.

From the standard normal table, the z-critical value at 90% confidence is 1.65.

The information represent E = 0.01, p = 0.12 and z. =1.65 for finding sample size.

n = (Zc / E )² x P(1-P)

  = (1.65 2x0.12(1 - 0.12)0.01

  = 2874.96 ~ 2875

Hence, 2875 is the necessary number of samples, minimum.

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The null hypothesis (H0) and alternative hypothesis (Ha) for each situation are a) H0: µ = 18 Ha: µ < 18 b) H0: µ = 50 Ha: µ > 50 c) H0: µ = 24 Ha: µ ≠ 24. Based on the given p-value of 0.02, the decision for each situation are a) Since p < 0.05, we reject the null hypothesis b) Since p < 0.05, we reject the null hypothesis c) Since p < 0.05, we reject the null hypothesis.

The null hypothesis (H0) and alternative hypothesis (Ha) for each situation are as follows:

a) H0: µ = 18 (the mean time for mice to complete the maze is equal to 18 seconds)
Ha: µ < 18 (the mean time for mice to complete the maze is less than 18 seconds)

b) H0: µ = 50 (the mean score for the teaching assistant's students is equal to 50)
Ha: µ > 50 (the mean score for the teaching assistant's students is greater than 50)

c) H0: µ = 24 (the mean score for students who passed the credit examination is equal to 24)
Ha: µ ≠ 24 (the mean score for students who passed the credit examination is not equal to 24)

Based on the given p-value of 0.02, the decision for each situation is as follows:
a) Since p < 0.05, we reject the null hypothesis and conclude that the loud noise does cause the mice to complete the maze faster.
b) Since p < 0.05, we reject the null hypothesis and conclude that the teaching assistant's students do have a higher mean score than the class as a whole.
c) Since p < 0.05, we reject the null hypothesis and conclude that the students who passed the credit examination do differ in their understanding of spoken French from students who actually take the French courses.

These decisions are justified because a p-value less than 0.05 indicates that there is a statistically significant difference between the sample mean and the population mean, and therefore we can reject the null hypothesis and accept the alternative hypothesis.

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The probability density function (pdf) of the largest of the five waiting times is given by: f(x) = 4/10^5 * x^4, where x is a real number between 0 and 10. The expected value of the largest of the five waiting times is 8.33 minutes.

The pdf of the largest of the five waiting times can be found by considering the order statistics of the waiting times. The order statistics are the values of the waiting times sorted from smallest to largest.

In this case, the order statistics are X1, X2, X3, X4, and X5. The largest of the five waiting times is X5.

The pdf of X5 can be found by considering the cumulative distribution function (cdf) of X5. The cdf of X5 is given by: F(x) = (x/10)^5

where x is a real number between 0 and 10. The pdf of X5 can be found by differentiating the cdf of X5. This gives: f(x) = 4/10^5 * x^4

The expected value of X5 can be found by integrating the pdf of X5 from 0 to 10. This gives: E[X5] = ∫_0^10 4/10^5 * x^4 dx = 8.33

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Answer:

T' = (-4, 0)

S' = (-4 , -10)

U' = (3 , 0)

V' = (3, -10)

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

\($\lim\limits_{x \to 0} \frac{\ln^2 (1+x) - \sin^2 x}{1 - e^{-x^2}}$\)

To calculate the given limit, we have to use L'Hôpital's rule.

Here, we differentiate the numerator and the denominator separately with respect to x:
\($$\begin{aligned}\lim\limits_{x \to 0} \frac{\ln^2 (1+x) - \sin^2 x}{1 - e^{-x^2}} &= \lim\limits_{x \to 0} \frac{2\ln(1+x)\cdot\frac{1}{1+x} - 2\sin x \cos x}{2xe^{-x^2}}\\&= \lim\limits_{x \to 0} \frac{\ln(1+x) - x \tan x}{x^2 e^{-x^2}} \cdot \frac{2}{2} \\&= \lim\limits_{x \to 0} \frac{\frac{1}{1+x} - \tan x - x \sec^2 x}{2xe^{-x^2} + 2x^3 e^{-x^2}} \\&= \lim\limits_{x \to 0} \frac{-x - x(1 + \tan^2 x) - \sec^2 x + 2x^2}{2e^{-x^2} + 6x^2 e^{-x^2} - 4x^4 e^{-x^2}}\end{aligned}$$\)

Now, we can directly substitute $x = 0$ in the above expression to get:

\($$\begin{aligned}\lim\limits_{x \to 0} \frac{\ln^2 (1+x) - \sin^2 x}{1 - e^{-x^2}} &= \lim\limits_{x \to 0} \frac{-x - x(1 + \tan^2 x) - \sec^2 x + 2x^2}{2e^{-x^2} + 6x^2 e^{-x^2} - 4x^4 e^{-x^2}} \\&= \frac{0}{2 + 0 - 0} \\&= 0\end{aligned}$$\)

Hence, the required limit is \($0$\).

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Answer:

\(\huge\boxed{\bf\:2 (-a - 6)}\)

Step-by-step explanation:

\(6a - 4(2a + 3)\\6a - (4*2a + 4*3)\\6a - (8a + 12)\\6a - 8a - 12\\- 2a - 12\\\boxed{\bf\:2 (-a - 6)}\)

Steps:

\(\rule{150pt}{2pt}\)

Answer:

\(\Longrightarrow: \boxed{\sf{-2a-12}}\)

Step-by-step explanation:

Use the distributive property.

\(\underline{\text{DISTRIBUTIVE PROPERTY:}}\\\\\Longrightarrow: \sf{A(B+C)=AB+AC}\)

First, multiply by expand.

⇒ -4(2a+3)

⇒ -4*2a=-8a

⇒ -4*3=-12

⇒ -8a-12

→ 6a-8a-12

Solve.

Add or subtract the numbers from left to right.

⇒ 6a-8a=-2a

= -2a-12

\(\Longrightarrow: \boxed{\sf{-2a-12}}\)

I hope this helps! Let me know if you have any questions.

Answer:

an=n^3-n^2-6

Step-by-step explanation:

Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.

What are linear equations?

A linear equation is a mathematical equation that can be written in the form of Ax + By = C, where A, B and C are constants and x and y are variables.

Let's call the number of pages that both friends read x. We know that Julie's reading speed is 3 pages per minute and Cassie's reading speed is 2 pages per minute.

We can set up the equation:

x = 3t + 9 (where t is the time in minutes that Julie takes to read x pages)

x = 2t + 35 (where t is the time in minutes that Cassie takes to read x pages)

We know that they read the same number of pages, so we can set the two equations equal to each other:

3t + 9 = 2t + 35

We can then solve for t:

t = 26 minutes

So it took them 26 minutes to read the same number of pages. We can use that value to find the number of pages that they read:

x = 3t + 9 = 3(26) + 9 = 79 pages

Hence, Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.

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Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.

What are linear equations?

A linear equation is a mathematical equation that can be written in the form of Ax + By = C, where A, B and C are constants and x and y are variables.

Let's call the number of pages that both friends read x. We know that Julie's reading speed is 3 pages per minute and Cassie's reading speed is 2 pages per minute.

We can set up the equation:

x = 3t + 9 (where t is the time in minutes that Julie takes to read x pages)

x = 2t + 35 (where t is the time in minutes that Cassie takes to read x pages)

We know that they read the same number of pages, so we can set the two equations equal to each other:

3t + 9 = 2t + 35

We can then solve for t:

t = 26 minutes

So it took them 26 minutes to read the same number of pages. We can use that value to find the number of pages that they read:

x = 3t + 9 = 3(26) + 9 = 79 pages

Hence, Julie read 79 pages after 26 minutes and Cassie read 79 pages after 26 minutes.

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The lateral area is 448 square centimeters.

To find the lateral area of a square pyramid, we need to calculate the sum of the areas of the four triangular faces.

The lateral area of a square pyramid can be calculated using the formula:

Lateral Area = (1/2) × Perimeter of Base × Slant Height

In this case, the base of the pyramid is a square with side length 11.2 cm, so its perimeter is 4 times the side length.

Let's calculate the lateral area using the given measurements:

Perimeter of Base = 4 × Side Length = 4 × 11.2 cm = 44.8 cm

Slant Height = 20 cm

Lateral Area = (1/2) × Perimeter of Base × Slant Height

Lateral Area = (1/2) × 44.8 cm × 20 cm

Lateral Area = 448 cm²

Therefore, the lateral area of the square pyramid is 448 cm².

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The statement "Rational expressions contain exponents" is sometimes true.

Sometimes true - ExplanationRational expressions are those expressions which can be written in the form of fractions with polynomials in the numerator and denominator. Exponents can appear in the numerator, denominator, or both of rational expressions, depending on the form of the expression. Therefore, it is sometimes true that rational expressions contain exponents, and sometimes they do not.For example, the rational expression `(x^2 + 2)/(x + 1)` contains an exponent of 2 in the numerator. On the other hand, the rational expression `(x + 1)/(x^2 - 4)` does not contain any exponents. Hence, the given statement is sometimes true.

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Answer:

2.5*10^4

I hope this helps

Answer:

2.5 x 10^4

this is a filler. I hope this helps though :)))))

kailangan ko po ng point

To find the magnitude and direction of a vector using trigonometry, you can follow these steps:

1. Identify the components of the vector: A vector can be represented by its horizontal (x) and vertical (y) components. For example, if we have a vector A with components Ax and Ay, we can express it as A = (Ax, Ay).

2. Calculate the magnitude of the vector: The magnitude of a vector is the length of the vector. To find the magnitude of a vector A, you can use the Pythagorean theorem. The formula is:
  magnitude(A) = √(Ax^2 + Ay^2)

3. Find the direction of the vector: The direction of a vector can be given in different forms, such as angles or degrees. Two common ways to express the direction of a vector are:
  a. Angle with the positive x-axis: This angle is measured counterclockwise from the positive x-axis to the vector. You can use trigonometric functions to find this angle. The formula is:
     angle = arctan(Ay / Ax)
  b. Angle with the positive y-axis: This angle is measured counterclockwise from the positive y-axis to the vector. To find this angle, you can subtract the angle obtained in step 3a from 90 degrees (or π/2 radians).

4. Convert the direction to degrees or radians, depending on the required format.

Let's consider an example to illustrate these steps:

Suppose we have a vector A with components Ax = 3 and Ay = 4.

1. Identify the components: A = (3, 4).

2. Calculate the magnitude:
  magnitude(A) = √(3^2 + 4^2) = √(9 + 16) = √25 = 5.

3. Find the direction:
  angle = arctan(4 / 3) ≈ 53.13 degrees.

4. Convert the direction:
  angle with positive y-axis = 90 degrees - 53.13 degrees ≈ 36.87 degrees.

So, the magnitude of vector A is 5, and its direction is approximately 36.87 degrees with a positive y-axis.

Remember, trigonometry can be used to find the magnitude and direction of a vector when you have its components.

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Answer:

180

Step-by-step explanation:

i just did it got it right