what is the measure for the following angle?
AOC​

Alex will have a final amount of $12,772 on deposit at the end of 8 years.

Given data:

Amount deposited per month by Alex = $100

Rate of interest per annum = 6%

Time for which Alex will deposit money in annuity = 8 years

The rate of interest per annum is 6% compounded monthly. Therefore, the rate of interest per month is 6%/12 = 0.5%.

Using the formula for the future value of an annuity:

Final amount Alex will have on deposit = P * ((1 + i)^n - 1)/i

Where,

P = Payment made each period

i = interest rate per period

n = number of periods

By substituting the given values in the formula, we get:

Final amount Alex will have on deposit = $100 * ((1 + 0.005)^96 - 1)/0.005

= $100 * (1.005^96 - 1)/0.005

= $100 * (1.6386 - 1)/0.005

= $100 * 0.6386/0.005

= $12,772

Therefore, Alex will have a final amount of $12,772 on deposit at the end of 8 years.

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There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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Answer:

8x+12=180

8x=168

x=21

3(21)+20= 83 degrees

5(21)-8= 97 degrees

Step-by-step explanation:

5x-8 and 3x+20 are supplementary angles meaning that when added together they equal to 180 degrees. Solve for x and then use to find angle

You need to look at the graph and identify where the x-axis is located.

In this graph Domain is {-2,2,4,6}

To determine the domain of a graph, you need to look at the graph and identify where the x-axis is located.

The domain of a graph is the set of all possible x-values for which the graph is defined.

In other words, it is the set of all x-values that the graph will plot.

For example, if the x-axis of the graph is between 0 and 10, then the domain of the graph is the set of all numbers between 0 and 10, including 0 and 10.

The domain of a sine wave graph is all real numbers. This is because the sine wave graph is periodic and repeats itself over and over again.

In this graph domain is {-2,2,4,6}

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The correct answer is not listed in the options, so there might have been a mistake in the question or the choices provided. To find the fourth ordered pair using the two sequences, we need to apply each rule to the previous result, starting from the given starting points.

Using Rule 1, starting from 1:
- Multiply by 2: 1 x 2 = 2
- Add one third: 2 + (1/3) = 7/3
So the first term of the fourth ordered pair is 7/3.
Using Rule 2, starting from 0:
- Add one half: 0 + 1/2 = 1/2
- Multiply by 4: (1/2) x 4 = 2
So the second term of the fourth ordered pair is 2.
Therefore, the fourth ordered pair is (7/3, 2).

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In Malaysia, landslides are a common and dangerous occurrence, especially during the rainy seasons. There are various factors that can contribute to landslides, including flawed design and improper construction practices.

Here is a step-by-step explanation of the causes and consequences of landslides in Malaysia:

1. Heavy rainfall: Malaysia experiences intense rainfall during the rainy seasons, which saturates the soil and weakens its stability.

2. Deforestation: The extensive clearing of forests for agriculture, urbanization, and logging reduces the natural protection provided by trees and their roots, making slopes more susceptible to erosion and landslides.

3. Improper land use planning: Inadequate consideration of geological conditions and slope stability during land development can lead to unstable slopes and increased landslide risk.

4. Poor construction practices: Faulty design, improper drainage systems, and inadequate slope stabilization measures during construction can contribute to landslides.

5. Consequences: Landslides can result in loss of lives, damage to infrastructure, displacement of communities, and environmental degradation.

To mitigate the risk of landslides, Malaysia has implemented measures such as slope stabilization techniques, reforestation efforts, and stricter regulations for land development. These initiatives aim to minimize the occurrence and impact of landslides, ensuring the safety and well-being of the population.

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The probability is the measure of the chance that the event will occur as a result of and experiment. Mutually exclusive probability of an event complement of event a relative frequency.

What kind of probability is founded on the observed data?

What three forms of probability are there?

Three main categories of probability exist:

Probability in theory. Scientific Probability. Probability axiomatically.

Probability refers to the possibility that a specific occurrence will occur. Probability is the proportion of the number of likely outcomes to the total number of outcomes of an event.

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Answer:

  6√10

Step-by-step explanation:

To simplify the radical, factor out the perfect squares.

  \(\sqrt{360}=\sqrt{36\cdot10}=\sqrt{6^2\cdot10}=\boxed{6\sqrt{10}}\)

Use a second order difference scheme while adhering to the finite difference procedure we discussed in lecture, the rewritten initial value is cos(t)+C.

The k initial differences of a sequence or a function are involved in a difference equation of order k, just as the k first derivatives of a function are related in a differential equation of order k.

The two aforementioned relationships enable the transformation of a recurrence relation of order k into a difference equation of order k and, in the other direction, a difference equation of order k into a recurrence relation of order k. Every transformation is the inverse of every other transformation, and the sequences that satisfy the recurrence relation are the exact ones that provide the solution to the difference equation.

Calculations:

syms y(t) z(t)

eqns = [diff(y,t)==z, diff(z,t)==-y];

[ySol(t),zSol(t)] = dsolve(eqns)

ySol(t) = C

cos(t)+C

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Answer:

9/10

Step-by-step explanation:

We know that every equation expressed in terms of x can be graph in an x-y plane, in this case the equation is

if we want to move it up or down we add or substract the quantity of unities we are moving it. If we want to move it down two unities we substract 2 on the whole equation:

If we want to move it to the left or to the right we add or substract the quantity of unities we are moving it to the x term. If we add it means it is going to the left and if we substract it means it is going to the right. If we want to move it one unity to the right then we substract 1 from the x :

Then, the function:

is the result of moving

f(x) = x³

1 unit to the right and 2 units down

Answer:

y=7×+2 is the equation

Answer:

The answer is 27

Step-by-step explanation:

all you do is raise 3 to the third power.

Answer:

1. x = 58

2. x = 44

Step-by-step explanation:

#1:

2x + 5 + x + 2x + 7 + x = 360

Step 1: Combine 2x, x, 2x, and x to get 6x.

6x + 5 + 7 = 360

Step 2: Add 5 & 7 to get 12.

6x + 12 = 360

Step 3: Subtract 12 from both sides

6x = 360 - 12

6x = 348

Step 4: Divide both sides by 6.

x = 348/6

x = 58

#2:

3x + 2 + 2x + 2x + 1 + x + 5 = 360

Step 1: Combine like terms.

8x + 2 + 1 + 5 = 360

8x + 8 = 360

Step 2: Subtract 8 from both sides.

8x = 360 - 8

8x = 352

Step 3: Divide both sides by 8.

x = 352/8

x = 44

Answer:

12/5

also written as

2 & 2/5 miles

Step-by-step explanation:

just multiply numerator by 4

give brainliest please

Answer:

x = - \(\frac{3}{2}\)

Step-by-step explanation:

Given

4(x + 3) = 6 ← distribute left side

4x + 12 = 6 ( subtract 12 from both sides )

4x = - 6 ( divide both sides by 4 )

x = \(\frac{-6}{4}\) = - \(\frac{3}{2}\)

The term with its description is: 1- comprehensive insurance -(2), 2. Premium - 4, 3. Liability insurance -3 -4. Collision insurance-1.

What is liability insurance?

Liability insurance is a type of insurance coverage that protects individuals and businesses from financial losses resulting from claims or lawsuits filed against them for alleged negligence or wrongdoing. It provides coverage for legal expenses, settlement costs, and judgments that may arise if the insured party is found legally responsible for causing bodily injury, property damage, or other harm to a third party.

Premium: The premium refers to the amount of money an individual or business pays to an insurance company in exchange for insurance coverage. It is typically paid on a regular basis, such as monthly, quarterly, or annually.

Collision Insurance: Collision insurance is a type of auto insurance coverage that helps pay for repairs or replacement of a vehicle if it is damaged in a collision, regardless of who is at fault. It covers the costs of repairing or replacing the insured vehicle up to its actual cash value, minus the deductible.

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the complete question is:

Drag and drop to match the term with its description.1. Comprehensive insurance2. Premium3. Liability insurance4. Collision insurance

1-Covers the cost of your car's collision damage.

2-Covers damage caused by fire, theft, vandalism, and weather

3. Protects you against harm to other people's bodies and possessions.

4- The insurance premiums you pay

The term utilized to make inferences about certain population parameters is a) samples.

In statistical analysis, samples are a subset of a larger population that are selected for observation and analysis. By studying the sample, statisticians can make inferences about the larger population from which it was drawn. This allows for predictions to be made about the entire population, based on information gathered from a smaller subset.

Equations and metrics are important in statistical analysis, but they are not used to make inferences about population parameters. Equations are used to model relationships between variables and to test hypotheses, while metrics are used to quantify the properties of data sets.

Statistics, on the other hand, is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. Statistics is used to make sense of data and to draw conclusions about the larger population from which the sample was drawn.

In summary, samples are an important tool for statisticians to make inferences about certain population parameters, and statistics is the field that studies these methods of data analysis.

Therefore, the correct answer is a) samples.

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Answer:

sad

Step-by-step explanation:

A triangle cannot be formed with side lengths of 8 feet and 11 feet.

In order for a triangle to be formed, the sum of the lengths of any two sides must be greater than the length of the third side. Let's consider the given side lengths of 8 feet and 11 feet. If we add these two lengths together, we get 19 feet. However, this sum is still smaller than the third side length, which means it is not possible to form a triangle using these side lengths.

In a triangle, the longest side is always shorter than the sum of the other two sides. This is known as the Triangle Inequality Theorem. In the case of 8 feet and 11 feet, the sum of these two side lengths is 19 feet, which is still shorter than the length of the third side. Thus, no triangle can be formed using these side lengths. To form a unique triangle, the sum of the two shorter sides must be greater than the length of the longest side. In this scenario, the sum falls short, indicating that the given side lengths do not satisfy the conditions for triangle formation. Therefore, no triangle can be formed with side lengths of 8 feet and 11 feet.

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Answer: Answer is 0.52

Step-by-step explanation:

So we have the fraction 13 Out of 25.

step 1: here we divide numerator(which is 13) by denominator(which is 25).

step 2: first we make denominator 100 by multiplying by 25 with 4 and also 13 with 4.

ie. \(\frac{13 * 4}{25 * 4}\)

step 3: we get \(\frac{52}{100}\)

step 4: now we can easily write the decimal fraction. ie. 0.52

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Vector a = (3, 2), then;

Also, vector b = (-5, 6), then;

Then, -3a + 2b = (-9, -6) + (-10, 12)

The answer is (-19,6)

Answer:

-35 feet each second

Step-by-step explanation:

Divide -420 by 12:

-420/12

= -35

So, the change in the plane' elevation is -35 feet each second

Answer:

-35 feet per second

-420/12 = -35

The value of the number expression 42 divided by (15-2 to the 3rd power) or  42 ÷ (15 - 2³) is 6.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that:

42 divided by (15-2 to the 3rd power)

Mathematically,

= 42 ÷ (15 - 2³)

After applying the properties of integer exponent:

= 42 ÷ (15 - 8)

Because 2³ = 8

= 42 ÷ 7

After dividing

= 6

Thus, the value of the number expression 42 divided by (15-2 to the 3rd power) or  42 ÷ (15 - 2³) is 6.

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The equation of the tangent line to the curve `y = 2ex cos(x)` at the point (0,2) is given by `y = 2ex + 2`.

To find an equation of the tangent line to the curve at the given point (0,2) whose equation is given by `y = 2ex cos(x)`, we need to determine the derivative `y'` of `y = 2ex cos(x)` first. Using the product rule, we have;

`y = 2ex cos(x)`...let `u = 2ex` and `v = cos(x)`, then `u' = 2ex` and `v' = -sin(x)`.`y' = u'v + uv'` `= 2ex cos(x) - 2ex sin(x)` `= 2ex(cos(x) - sin(x))`

Therefore, the derivative of `y = 2ex cos(x)` is `y' = 2ex(cos(x) - sin(x))`.

The equation of the tangent line to the curve at the point (0,2) is obtained by using the point-slope formula, which is given by: `y - y1 = m(x - x1)`where `(x1,y1)` is the point of tangency, `m` is the slope of the tangent line.

Substituting the values of `m`, `x1` and `y1`, we obtain: `m = y' |(0,2)` `= 2e(1 - 0)` `= 2e`Using the point-slope formula with `(x1,y1) = (0,2)` and `m = 2e`, we have: `y - 2 = 2e(x - 0)` `y - 2 = 2ex` `y = 2ex + 2`

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This riddle does not have any mathematical formula or calculation associated with it.

This is an impossible situation, as it is not possible for a doctor to be the patient's parent. It is also not possible for a person to be taller than a building that is 43 stories tall.

The phrase "How is a raven like a writing desk?" is a riddle posed by Lewis Carroll in his novel Alice's Adventures in Wonderland. The answer to the riddle is "they both have the potential to produce a few notes, though they are very different". This phrase does not have any mathematical formula or calculation associated with it.

This riddle does not have any mathematical formula or calculation associated with it.

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they are equal to each other

The power series representation for the function f(x) = 27 - x centered at x = 0 is f(x) = 27 - x.

To find a power series representation for the function f(x) = 27 - x centered at x = 0, we can expand it as a Taylor series.

Step 1: Calculate the derivatives of the function:

f'(x) = -1

f''(x) = 0

f'''(x) = 0

...

Step 2: Evaluate the derivatives at x = 0:

f(0) = 27

f'(0) = -1

f''(0) = 0

f'''(0) = 0

...

Step 3: Write the general form of the Taylor series:

f(x) = f(0) + f'(0)x + (f''(0)x²)/2! + (f'''(0)x³)/3! + ...

Step 4: Substitute the evaluated derivatives into the general form:

f(x) = 27 - x + 0 + 0 + ...

Step 5: Simplify the series:

f(x) = 27 - x

Therefore, the power series representation for the function f(x) = 27 - x centered at x = 0 is simply the function itself, as no further terms are involved in the series expansion.

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Answer:

Subtract 2 from both sides to get:

2 x = 4 w

Then, you could divide both sides by 2 to get:

x = 2 w

Therefore, the value of x is 2 w.