PLEASEEE HELPPPPP ILL GIVE BRAINLIEST

To graph the equation y = (1/2)x, we can plot points on a coordinate plane and connect them to create a straight line. Here's how to do it:

1. Choose some x-values to evaluate the equation. Let's select a range of x-values, such as -10, -5, 0, 5, and 10.

2. Substitute each x-value into the equation to find the corresponding y-values. For example:

  - For x = -10, y = (1/2)(-10) = -5

  - For x = -5, y = (1/2)(-5) = -2.5

  - For x = 0, y = (1/2)(0) = 0

  - For x = 5, y = (1/2)(5) = 2.5

  - For x = 10, y = (1/2)(10) = 5

3. Plot the points (x, y) on a graph. In this case, the points would be:

  (-10, -5), (-5, -2.5), (0, 0), (5, 2.5), (10, 5)

4. Connect the plotted points with a straight line. The line should pass through all the points.

The resulting graph is a straight line with a slope of 1/2, passing through the origin (0, 0), and extending infinitely in both directions.

Here is a rough sketch of the graph:

```

   |      

6  |         .

   |       .

5  |     .

   |   .

4  | .  

   |

3  |   .

   |

2  |     .

   |      

1  |       .

   |      

0  -----------------------

  -10 -5  0  5  10

```

Note: The above graph is a visual representation and may not be to scale. The line should pass through the plotted points accurately.

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The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

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Answer:

\( \dfrac{x^{5}}{y^{8}} \)

Step-by-step explanation:

\( \dfrac{y^{-8}}{x^{-5}} = \)

\( = \dfrac{x^{5}}{y^{8}} \)

The expression is simplified to give y⁻⁸x⁵

First, it is important to note that index forms are described as mathematical forms that are used to represent numbers of variables that are too large or that are too small in more convenient forms.

These index forms are also known as scientific notations or standard forms

From the information given, we have that;

y to the negative eighth power over x to the negative fifth power

This is represented as;

y⁻⁸/x⁻⁵

Since the forms are not of the same bases, we cannot add the exponents

y⁻⁸x⁵

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The statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

The comparison test states that if 0 ≤ f(x) ≤ g(x) and the integral of g(x) dx diverges, then the integral of f(x) dx also diverges. However, the statement assumes that f(x) and g(x) are equal to zero, which means that 0 ≤ f(x) ≤ g(x) is not satisfied.

Additionally, the assumption that g(x) dx diverges does not necessarily imply that f(x) dx also diverges. For example, let g(x) = 1/x^2 and f(x) = 0 for all x. Then g(x) dx diverges, but f(x) dx converges to zero.

In conclusion, the statement is incorrect due to the invalid assumption of f(x) = g(x) = 0, and the incorrect application of the comparison test.

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Answer:

10

Step-by-step explanation:

according to the formula of y = P(1-r)^x, P is the initial value, and in this case it looks like it is 10 :)

Answer:

well it is 1 beacuse on a numberline you would nedd the opposite of that number

Step-by-step explanation:

Answer:

Step-by-step explanation:

71.28

Answer:

To find the diameter divide the circumference by pi

10÷3.14

=3.2 mm

Answer:

-12p-20

Step-by-step explanation:

{-12-6p-(-2)}−12−6p−(−2)

-12-6p+2−12−6p+2

-12p-20

The probability that the John either hits a Bull’s eye or scores 10 points in the game of darts is 2/5.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event. The probability of an event can not be more than the number 1.

John is playing a game of darts. In this game of dart,

The probability that he either hits a Bull’s eye or scores 10 points is equal to the sum of the probability he hits the bull's eye and the probability that he throws the dart into the 10-points ring.

Let, the probability that he either hits a Bull’s eye or scores 10 points is P. Thus,

\(P=\dfrac{1}{10}+\dfrac{3}{10}\\P=\dfrac{4}{10}\\P=\dfrac{2}{5}\)

Hence, the probability that the John either hits a Bull’s eye or scores 10 points in the game of darts is 2/5.

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Answer:

Option D is the correct answer

Step-by-step explanation:

D.\(\frac{2}{5}\)

A clockwise rotation 90° about the origin followed by a translation

2 units to the right and 6 units down produces Δ X'Y'Z' from Δ XYZ

There are four types of transformations: reflection, rotation, translation, and dilation.

Translation, rotation, reflection, and dilation are the four primary categories of transformation.

* Let's update the translation and rotation.

If the point (x, y) rotated.

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Answer:clockwise rotation 90

translation is 2 units

Step-by-step explanation:

Answer:

6,600 cm per minute

Step-by-step explanation:

I got 6,600 by taking 9,900 divided by 1.5 minutes because it took the trout 1.5 minutes to swim 6,600 cm. 9,900/1.5= 6,600. So, the trouts was swimming at a speed of 6,600 cm per minutes.

Answer:

The Answer is 1080x^21 + 2160x^20 + 3

Step-by-step explanation:

Answer: 3+36x+480= 483+36

Step-by-step explanation: That's math for you

Answer:

35

Step-by-step explanation:

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

From the question, we have the following parameters that can be used in our computation:

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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The equation, fine is $5*86 = 430so 430-430 = 0, Lin's account balance is much above zero (0), so she won't be charged $5.95 each day.

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

Lin's sister will be paid $430

here are no other transactions besides this deposit and the daily fee

since fine is $5*86 = 430

so 430-430 = 0

hence,

Lin's account balance is much above zero (0), so she won't be charged $5.95 each day. However, if her account balance were to drop below zero, she would be charged for any further daily deposits made.

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Answer:

1.5

Step-by-step explanation:

20/20 = 3

30/20 = 1.5

Hello,

\( \frac{p(x)}{q(x)} = \frac{ {x}^{2} - x - 12}{x + 3} = \frac{(x - 4)(x + 3)}{x + 3} = x - 4\)

Answer:

Step-by-step explanation:

According to mathematical induction, we have proved that if the statement is true for k, it must also be true for k+1.

To prove that 12 + 22 + 32 + ... + n2 = n(n + 1)(2n + 1)/6 for all n in N:

First, we need to prove that the statement is true for n = 1, which is the base case.

When n = 1, the left-hand side (LHS) of the equation is simply 12, and the right-hand side (RHS) is (1)(1+1)(2(1)+1)/6 = 1. Therefore, the statement is true for n = 1.

Now, we assume that the statement is true for some natural number k, and we need to prove that it is also true for k+1. This is called the induction step.

Assuming the statement is true for k, we have:

12 + 22 + 32 + ... + k2 = k(k + 1)(2k + 1)/6 ---------------(1)

We need to prove that:

12 + 22 + 32 + ... + (k+1)2 = (k+1)(k+2)(2k+3)/6

To prove this, we start by adding (k+1)2 to both sides of equation (1):

12 + 22 + 32 + ... + k2 + (k+1)2 = k(k + 1)(2k + 1)/6 + (k+1)2

Simplifying the right-hand side using a common denominator, we get:

(k+1)(k+2)(2k+3)/6

Hence, by mathematical induction, the statement is true for all natural numbers n.

To prove that 1/12 + 1/23 + 1/34 + ... + 1/n(n+1) = n/(n+1) for all n in N:

First, we need to prove that the statement is true for n = 1, which is the base case.

When n = 1, the left-hand side (LHS) of the equation is simply 1/12, and the right-hand side (RHS) is 1/(1+1) = 1/2. Therefore, the statement is true for n = 1.

Now, we assume that the statement is true for some natural number k, and we need to prove that it is also true for k+1. This is called the induction step.

Assuming the statement is true for k, we have:

1/12 + 1/23 + 1/34 + ... + 1/k(k+1) = k/(k+1) ---------------(2)

We need to prove that:

1/12 + 1/23 + 1/34 + ... + 1/k(k+1) + 1/(k+1)(k+2) = (k+1)/(k+2)

To prove this, we start by adding 1/(k+1)(k+2) to both sides of equation (2):

1/12 + 1/23 + 1/3*4 + ... + 1/k(k+1) + 1/(k+1)(k+2) = k/(k+1) + 1/(k+1)(k+2)

Simplifying the right-hand side using a common denominator, we get:

(k+1)/(k+1)(k+2) + 1/(k+1)(k+2) = (k+2)/(k+1)(k+2) = (k+1+1)/(k+1)(k+2) = (k+1)/(k+2)

Hence, by mathematical induction, the statement is true for all natural numbers n.

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In a case whereby Sam owns 30 acres of land percentage of Sam’s land is marsh is 10%

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per cent refers to one hundred percent.

Given that there are

15 acres are grass.

12 acres are woodland.

The rest is marsh.

Marsh =30- (15 + 12) = 3

The percentage of Sam’s land is marsh = \(\frac{3}{30} = 0.1*100 =10%\)

=10%

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To make a 300 mL buffer solution with a pH of 3.5, the mass of NaF required is 7.17 grams.

The buffer solution is created by mixing HF with NaF. The two ions, F- and H+, react to create HF, which is the acidic component of the buffer. The pKa is used to determine the ratio of the conjugate base to the conjugate acid in the solution. Let us calculate the mass of NaF required to make a 300 mL buffer solution with a pH of 3.5.

To calculate the mass of NaF, we need to know the number of moles of NaF needed in the solution. We can calculate this by first determining the number of moles of HF and F- in the buffer solution. Here's the step-by-step solution:

Step 1: Calculate the number of moles of HF needed: Use the Henderson-Hasselbalch equation to calculate the number of moles of HF needed to create a buffer with a pH of 3.5.pH

\(= pKa + log ([A-]/[HA])3.5\)

\(= -log(7.2*10^{-4}) + log ([F-]/[HF])[F-]/[HF]\)

= 3.16M/0.1M = 31.6mol/L.

Since we know that the volume of the buffer is 0.3L, we can use this value to calculate the number of moles of HF needed. n(HF) = C x Vn(HF) = 0.1M x 0.3Ln(HF) = 0.03 moles

Step 2: Calculate the number of moles of F- needed: The ratio of the concentration of F- to the concentration of HF is 31.6, so the concentration of F- can be calculated as follows: 31.6 x 0.1M = 3.16M. The number of moles of F- needed can be calculated using the following formula: n(F-) = C x Vn(F-) = 3.16M x 0.3Ln(F-) = 0.95 moles

Step 3: Calculate the mass of NaF needed: Now that we know the number of moles of F- needed, we can calculate the mass of NaF required using the following formula:

mass = moles x molar mass

mass = 0.95 moles x (23.0 g/mol + 19.0 g/mol)

mass = 7.17 g

So, the mass of NaF required to make a 300 mL buffer solution with a pH of 3.5 is 7.17 grams. Therefore, the correct answer is 7.17g NaF.

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The correct question would be as

Calculate the mass of NaF in grams that must be dissolved in a 0.25M HF solution to form a 300 mL buffer solution with a pH of 3.5. (Ka for HF= 7.2X10^(-4))

Answer:

95°

Step-by-step explanation:

The angles have the same degrees

Answer:

26

Step-by-step explanation:

square root of 144 is 12, square root of 196 is 14, 12+14 is 26, any number to the 0 power is 1 so 26×1 equals 26.

Answer: 26

Step-by-step explanation:

(\(\sqrt{144}\) + \(\sqrt{196}\)) * 2^0

(12+14) * 1

26

Answer:

Not a right triangle

Step-by-step explanation:

Find AC by doing 22-13=9

Use Pythagorean Theorem to determine if it is a right triangle.

8 squared plus 5 squared=89

Square rt= 9.43

And 9.43 is not equal to 9.

Answer:

square root of 654

Step-by-step explanation:

The number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. In scientific notation, a number is expressed as the product of a coefficient and a power of 10.

In this case, the coefficient is 3.23, and the power of 10 is 6. To convert this number into standard decimal notation, we need to multiply the coefficient by the corresponding power of 10. The power of 10, in this case, is 10^6, which means 10 raised to the power of 6. This is equivalent to 1 followed by six zeros: 1,000,000. To obtain the standard decimal notation, we multiply the coefficient, 3.23, by 1,000,000.

Calculating the multiplication, we have:

3.23 × 1,000,000 = 3,230,000.

Hence, the number 3.23×10^6, expressed in standard decimal notation, is 3,230,000. This means that the number is equal to 3.23 million.

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