Write the equation of the line when m = 4 and the point (3, 15) lies on the line.

The sοlutiοn of  the given expression is 5⁴a²/12²b²

Least Cοmmοn Multiple(LCM) is a methοd tο find the smallest cοmmοn multiple between any twο οr mοre numbers. A cοmmοn multiple is a number which is a multiple οf twο οr mοre numbers.

Tο sοlve this expressiοn, we need tο simplify the expressiοn inside the parentheses first using the least cοmmοn multiple (LCM) οf the denοminatοrs 4b and 3b.

LCM(4b, 3b) = 12b

Sο we can rewrite the expressiοn as:

Using the formula (a + b)² +  a² + b² + 2ab

Here, a = 3a/4b and b = 4a/3b

So,

(3a/4b)² +  (4a/3b)² + 2(3a/4b)(4a/3b)

9a²/16b² +  16a²/9b² + 2(a/b)²

= 625a²/144b²

= 5⁴a²/12²b²

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Complete Question

Simply the given expression \(({\frac{3a}{4b}}-{\frac{4b}{3a}})^{2}$\)

Answer:

38.66 meters.

Step-by-step explanation:

Let's denote the height of the building as 'h' (to be determined). Given that the tower is 30m high, we can use trigonometry to solve for the height of the building.

From the information provided, we can form a right triangle with the height of the tower as one side, the height of the building as another side, and the distance between the tower and the building as the hypotenuse.

Considering the angle of depression of 30 degrees, we have the following equation:

tan(30°) = h / d

Where 'd' is the distance between the tower and the building. We don't have the exact value of 'd,' but we can use the second angle of depression to find the relationship between 'd' and the height of the tower.

Using the angle of depression of 45 degrees, we have:

tan(45°) = 30 / d

We can rearrange this equation to solve for 'd':

d = 30 / tan(45°)

Now we can substitute this value of 'd' into the first equation:

tan(30°) = h / (30 / tan(45°))

To find the value of 'h,' we can solve this equation:

h = (30 / tan(45°)) * tan(30°)

Using a calculator, we can calculate the value of 'h' to be approximately 38.66 meters.

Therefore, the height of the building is approximately 38.66 meters.

The answer is D. 2 over 5

Step-by-step explanation:

Took the test.

More than one applies to the slope.

The non-negative value of a real number x without regard to its sign is known as its absolute value or modulus in mathematics and is indicated by the symbol |x|. Specifically, display style |x|=x and |x|=-x for positive and negative numbers, respectively, and display style |0|=0 for zero.

The slope of the parent function from any point to the vertex is either 1 or -1. The points in the issue are (-2, 3), and (–1, 0)

The slope is m = 0 - 3 / (-1 - (-2)) between the two sites.

m = 3

It is steeper than one.

As a result, a scale factor other than 1 has been used to dilate the graph.

The complete question is : The graph of an absolute value function has a vertex at (–2, 3) and passes through the point (–1, 0). Using transformations of the parent function, has the graph been dilated by a scale factor other than 1? Explain.

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Answer:(0,4),(0,0),(3,0)

Step-by-step explanation:

It is easy to find lengths of horizontal and vertical segments and distances from (0,0) so always place one vertex at the origin and one or more sides on an axis.

As in this answer has y intercept, and x intercept, and (0,0)

Answer:

Step-by-step explanation:

lim x -> +oo    -2x³ - 13x² + 8x + 52

x³ (-2 -13/x + 8/x² + 52/x³)

+oo³ (-2 - 13/+oo + 8/+oo² + 52/oo³)

+oo(-2 + 0 + 0 + 0)

-oo

lim x -> -oo    -2x³ - 13x² + 8x + 52

x³ (-2 -13/x + 8/x² + 52/x³)

-oo³ (-2 - 13/-oo + 8/-oo² + 52/-oo³)

-oo(-2 + 0 + 0 + 0)

+oo

Answer:

12?

Step-by-step explanation:

Answer:The Answer is 10!!!

Step-by-step explanation:

If you plot (1,4) and (-5,-4) on a graph, you can see that you can form a right triangle.

you would count the values on the X-axis and on the Y-axis. The values are 6 and 8 respectively.

You put the values on the second power and add them. So the equation would be 6^2 + 8^2. The answer would be 100.  Because the Pythagorean Theorem is a^2 + b^2= c^2, you would square root would be 10. The distance between the two points is 10.

Answer:

the answer is 225

Step-by-step explanation:

\( \frac{300 \times 25}{100} = 75\)

this is the amount of discount

so remove it from the original price

300 - 75 = 225

which is the price after the 25% discount

hope this helps

Answer: i think C sorry if i get it wrong :)

Step-by-step explanation:

Answer:

In standard form: x - 2y = -10

In slope intercept form: y = (1/2)x + 5

Step-by-step explanation:

y = total cost

y = flat cost + mileage cost

The flat cost is $5, so you get

y = 5 + mileage cost

The mileage cost depends on the number of miles, x.

1 mile costs $0.50

2 miles cost $0.50 * 2

3 miles cost $0.50 * 3

x miles cost $0.50 * x, or simply 0.5x

Now we add the mileage cost to our expression.

y = 5 + 0.5x

y = 0.5x + 5

In standard form:

0.5x - y = -5

x - 2y = -10

In slope intercept form:

y = (1/2)x + 5

To calculate the required minimum distribution (RMD) for 2022, we need to know the balance of Tim's retirement account(s) as of December 31, 2021.

The RMD for 2022 is calculated by dividing the account balance by a distribution period based on Tim's age. According to the IRS Uniform Lifetime Table, the distribution period for a 68-year-old is 23.8 years.

Assuming Tim has a retirement account balance of $500,000 as of December 31, 2021, the RMD for 2022 would be:

RMD = $500,000 / 23.8 = $21,008.40

Therefore, Tim's required minimum distribution for 2022 that must be distributed in 2023 is $21,008.40.

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When placing an order for an automobile, customers have the option to choose between different transmission types (automatic or standard) and whether or not to include an air conditioning system.

This gives rise to four possible combinations:

Automatic with air conditioning: This refers to a car equipped with an automatic transmission and an air conditioning system.

Automatic without air conditioning: This refers to a car equipped with an automatic transmission but without an air conditioning system.

Standard with air conditioning: This refers to a car equipped with a standard transmission and an air conditioning system.

Standard without air conditioning: This refers to a car equipped with a standard transmission but without an air conditioning system.

Customers can specify their preferred combination based on their personal preferences and needs.

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Answer:

5<x<11

Step-by-step explanation:

Answer:x=3

Step-by-step explanation:

To differentiate the function g(x) = x√(8ex), we can use the product rule of differentiation. And Your answer: g′(x) = √(8e^x) + x * (4e^x * (8e^x)^(-1/2)).

First, we need to identify the two parts of the function that are being multiplied together. In this case, we have x and √(8ex).
Next, we differentiate each part separately. The derivative of x is 1, and the derivative of √(8ex) can be found using the chain rule.
Let u = 8ex
Then √u = u^(1/2)
Therefore, the derivative of √(8ex) is (1/2)u^(-1/2)*d(u)/dx
Simplifying this, we get: (1/2)*8ex^(-1/2)*8e = 4x√(2ex)
Now, using the product rule, we can combine the derivatives of x and √(8ex):
g′(x) = x*(4x√(2ex)) + √(8ex)*(1)
Simplifying this, we get:
g′(x) = 4x^2√(2ex) + √(8ex)
Therefore, the derivative of the function g(x) = x√(8ex) is g′(x) = 4x^2√(2ex) + √(8ex).

To differentiate the function g(x) = x√(8e^x), we will find g′(x) using the product rule. The product rule states that if you have a function h(x) = f(x) * g(x), then h′(x) = f′(x) * g(x) + f(x) * g′(x).
Step 1: Identify the two functions to apply the product rule.
In this case, f(x) = x and g(x) = √(8e^x).
Step 2: Differentiate f(x) and g(x) separately.
f′(x) = 1 (since the derivative of x is 1)
To differentiate g(x), we first rewrite it as g(x) = (8e^x)^(1/2). Now, applying the chain rule:
g′(x) = (1/2) * (8e^x)^(-1/2) * 8e^x (chain rule applied to the outer and inner functions)
g′(x) = 4e^x * (8e^x)^(-1/2)
Step 3: Apply the product rule.
g′(x) = f′(x) * g(x) + f(x) * g′(x)
g′(x) = (1) * (√(8e^x)) + (x) * (4e^x * (8e^x)^(-1/2))
Your answer: g′(x) = √(8e^x) + x * (4e^x * (8e^x)^(-1/2)).

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The RACI matrix is the Responsible, Accountable, Consult & Inform matrix. It is a tool used in project management to clearly define the roles and responsibilities of team members in relation to a project.

c. Responsible, Accountable, Consult & Inform matrix

The RACI matrix is a tool used in project management to clearly define roles and responsibilities. It stands for Responsible, Accountable, Consulted, and Informed. Assigning these roles to individuals or teams, it ensures efficient allocation of resources and effective communication throughout the project.

The matrix identifies who is Responsible for a task, who is Accountable for its completion, who needs to be Consulted before decisions are made, and who needs to be Informed about progress. This helps to avoid confusion and ensure that resources are allocated appropriately, which can ultimately impact the cost of the project.

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Answer: It’ll be 8/35

Answer:

minimum

Step-by-step explanation:

To find articles about LeBron James in the NBA finals, Alison should type relevant keywords in her search window. She can use the following terms: "LeBron James," "NBA finals," "basketball," and "sports."

By using these terms, she can filter the results that appear on her screen. Alison can also add other details to her search window to narrow down her search further

.For instance, she can add the year of the NBA finals that LeBron James participated in. For instance, "LeBron James in NBA finals 2021". Additionally, Alison can type the name of the newspaper, magazine, or website she wants to browse.

This tactic ensures that she can find relevant articles from trusted sources. Furthermore, Alison can use search filters such as dates and locations to ensure she finds the most recent articles about LeBron James in the NBA finals.

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Answer:

Step-by-step explanation:

a^3=19.683

a^3=2.7^3

length of each side=2.7 cm

Answer:

2.7 meters long

Step-by-step explanation:

Volume of a Cube is: \(V=a^3\)

Where 'a' is the side length.

Each side of the box would be the cube root of the total volume in this case,

\(V=19.683\\\sqrt[3]{19.683}\\{a=2.7}\)

The length of each side should be 2.7 meters long.

Answer:

vertical

Step-by-step explanation:

its going straight up

Answer: slope = 3

Step-by-step explanation: 3x - y = 24

                                             3x - 3x -y = 24 -3x

                                             -y = -3x + 24

                                              -y/-1 = -3x + 24/1

                                               y = 3x - 24

Answer:i

Step-by-step explanation:

The measure, x, which is of one of the base angles of the isosceles triangle in the question is 71°

The value of x is 71°

An isosceles triangle is a triangle that has congruent base angles

The description of the specified triangle mare as follows;

The length of the sides are;

21 and 21

Therefore;

The triangle is an isosceles triangle

The base angles of an isosceles triangle are congruent, therefore;

The measure of the  angle adjacent the angle x is also m∠x

Which indicates;

38° + x° + x° = 180° (Angle sum property of a triangle)

38° + 2·x°  = 180°

2·x° = 180° - 38° =  142°

x = 142° ÷ 2 = 71°

x = 71°

The measure of the angle x is 71°

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Answer:

5/2

Step-by-step explanation:

(18/15)*(25/12)=(18*25)/(15*12)=450/180=5/2

Answer:

40

Step-by-step explanation:

To solve this question you will need to use BEDMAS which is the order of which numbers you have to solve first. In this case you need to solve the brackets first, then the exponent, and then lastly the addition.

 3^3 + 3(4 + 1/3)

= 3^3 + 3(13/3)

= 27 + 3 x 13/3

= 27 + 13

= 40

Answer:

The slope is 1/2

Step-by-step explanation:

The rate of y over the rate of x so it would be y/x. You put the equation y2-y1/x2-x1

Which would look like -3-3/-4-8= -6/-12=6/12 and then you simplify it to 1/2

Answer:

a: -3n+1

b:-5n-2

Step-by-step explanation:

a: it is -3+1 because you can see that the sequence is going down by 3, so it is the 3 times table, but because the number is 4, and 4 is 1 more than 3, you put plus one at the end. :)

b: similar to the last, it's going down by five, but it is two less this time, so you put minus two instead.

Hope this helps :),

Lily

Of the following, examples of an independent agency is securities and exchange commission.

Independent agencies are agencies of the United States federal government that exist outside the federal executive departments and the Executive Office of the President. The term refers to independent agencies that are considered part of the executive branch but have regulatory or rulemaking authority assigned by the Congress and are separated from presidential control as the president's power to dismiss the agency head or a member is limited. The Securities and Exchange Commission (SEC) is an independent agency which was established to protect investors who buy stocks and bonds with the powers to prevent or punish fraud in the sale of securities and is authorized to regulate stock exchanges.

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The correct answer is 338,650

\(\displaystyle\sum_{i=1}^z~i^2\implies \cfrac{z(z+1)(2z+1)}{6} \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\sum_{n=1}^{100}~(3+n^2)\implies \begin{array}{llll} \displaystyle \sum_{n=1}^{100}~3~~ &+& ~~\displaystyle \sum_{n=1}^{100}~n^2\\\\\\ (100)(3)&+&\cfrac{100(100+1)( ~~ 2(100)+1 ~~ )}{6} \\\\\\ 300&+&\cfrac{100(101)(201)}{6} \\\\\\ 300&+&338350 \\\\\\ &&\textit{\LARGE 338650} \end{array}\)