Please help and explain. I am very confused and frustrated.

Answer: D

Step-by-step explanation:

When you are asked what is the domain, you are basically asked what x values work for the function.

Multiply the function to get \(xe^x + 6e^x\)

\(e^n\), n being any real number, is defined for every value you input for n. So its domain is all real numbers

Its range is also all real numbers because the domain is continous for every single value you plug in

Answer:

60 degrees

Step-by-step explanation:

Since the two lines are intersecting, the angles formed by them are vertical angles. Therefore:

2x+24=144

2x=144-24=120

x=120/2=60

Hope this helps!

Step-by-step explanation:

Therefore,

2x+24= 144° [ Vertically positive angles]

Or, 2x= 144-24

Or, 2x= 120

Or, x= 120/2

Therefore, x= 60°

Answer: 2.25 or 2 1/4 or 9/4

y2 - y1 / x2 - x1

5 - (-4) / 3 - (-1)

9/4

2 1/4

Answer:

  2 hours, 150 miles

Step-by-step explanation:

The relation between time, speed, and distance can be used to solve this problem. It can work well to consider just the distance between the drivers, and the speed at which that is changing.

Jason got a head start of 20 miles, so that is the initial separation between the two drivers.

Jason is driving 10 mph faster than Britton, so is closing the initial separation gap at that rate.

The relevant relation is ...

  time = distance/speed

Then the time it takes to reduce the separation distance to zero is ...

  closure time = separation distance / closure speed = 20 mi / (10 mi/h)

  closure time = 2 h

Britton will catch up to Jason after 2 hours. In that time, Britton will have driven (2 h)(75 mi/h) = 150 miles.

__

Additional comment

The attached graph shows the distance driven as a function of time from when Britton started. The distances will be equal after 2 hours, meaning the drivers are in the same place, 150 miles from their starting spot.

The dividend in the formula P3 = Dx/(R - g) is for period e. three.

In the given formula P3 = Dx/(R - g), the dividend, Dx, refers to the cash flow or payment made during a specific period. The subscript "3" in P3 indicates the period of time for which the dividend is associated.

In the given formula, P3 = Dx/(R - g), the subscript 3 represents the period of time for which we are calculating the dividend.

The dividend, Dx, represents the cashflow or payment made during a specific period. In this case, the dividend is associated with period 3.

Therefore, the dividend in the formula corresponds to period e. three.

The dividend in the formula P3 = Dx/(R - g) is for period e. three

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To show that the general term of the quadratic number pattern is given by \(tn = n^2 + 4n - 12\) , we need to find a quadratic expression that fits the given pattern.

Let's examine the given sequence: -7, 0, 9, 20. We notice that each term is increasing by a certain amount.

First, let's find the differences between consecutive terms:
0 - (-7) = 7
9 - 0 = 9
20 - 9 = 11

We observe that the differences between consecutive terms are not constant, so this indicates that the sequence is not linear.

To determine if the sequence follows a quadratic pattern, let's find the second differences:
9 - 7 = 2
11 - 9 = 2

The second differences are constant, which suggests a quadratic pattern.

Now, let's find the quadratic expression. We know that the general term of a quadratic sequence can be written as \(tn = an^2 + bn + c\), where a, b, and c are constants to be determined.

Using the given terms, we can form three equations:

1.\(For n = 1: -7 = a(1)^2 + b(1) + c\)
2. \(For n = 2: 0 = a(2)^2 + b(2) + c\)
3.\(For n = 3: 9 = a(3)^2 + b(3) + c\)

Simplifying these equations, we get:
1. a + b + c = -7
2. 4a + 2b + c = 0
3. 9a + 3b + c = 9

Solving this system of equations, we find a = 1, b = 4, and c = -12.

Therefore, the general term of the quadratic number pattern is given by\(tn = n^2 + 4n - 12\).

The general term of the quadratic number pattern is \(tn = n^2 + 4n - 12\).

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Answer:

Step-by-step explanation:

\(\tan(23^o)=\dfrac{25}x\\\\\ x\tan(23^o)=25\\\\x=\dfrac{25}{\tan(23^o)}\\\\x\approx 58.9\)

Answer:

25t + 100 = 550

Step-by-step explanation:

Notice that for every week, the balance increases by $25. That means t will be multiplied by 25 like this: 25t

There is already $100 on top of that, so add 100 to it like this: 25t + 100

Since Adam is saving for a $550 computer, this sum has to equal 550

25t + 100 = 550

If you want to find out how many weeks it will take to get that computer, subtract 100 from both sides

25t + 100 = 550

      - 100   - 100

25t = 450

Divide both sides by 25

25t/25 = 450/25

t = 18

It will take Adam 18 weeks to save up and buy that computer.

Answer:

oh its simple .

Step-by-step explanation:

just listen to whatever that guy above me told u .

Answer:

SU = 70

Step-by-step explanation:

First, we need to find the value of x. Since M is the midpoint of SU, that means that SM = MU, therefore:

x + 15 = 4x - 45

15 = 3x - 45

60 = 3x

x = 20

We know that SU = SM + MU = (x + 15) + (4x - 45) = 5x - 30 and that x = 20 so SU = 5x - 30 = 5 * 20 - 30 = 100 - 30 = 70.

The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.

If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:

nPr = n!/{(n - r)!}.

In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.

Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.

Substituting n = 8, and r = 4 in the formula, we get:

8P4 = 8!/{(8 - 4)!}

= 8!/4!

= 5 * 6 * 7 * 8

= 1680.

Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

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Answer:

(2,-16) (4,-32) (8,-64)

Step-by-step explanation:

A line segment is best defined as a piece of a line with two endpoints.

This refers to the part of a line that is bounded by two distinct end points which contains point on the line in between.

Hence, the line segment is best defined as a piece of a line with two endpoints.

Therefore, the Option C is correct.

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Answer: B. a piece of a line with two endpoints

Step-by-step explanation: Right on edge 2023

Answer:

x = -1

Step-by-step explanation:

factor and you get

(x + 1)(x + 1) or (x + 1)^2

now set it equal to zero

x + 1 = 0

subtract one from both sides

x = -1

Answer:

D i searched it up and thats what the answer is

Answer:

C. is the right answer.

Step-by-step explanation:

by using pythagoras theorem which is:

C^2=a^2+b^2

the square root of 5 is 25

and the square root of 8 is 64

C^2=25+64

C^2=89

now get rid of the square

C=the square root of 89

a) The decrease of the computer component, which is decreasing at a rate of 13% per year, is an exponential decay.

b) If the component costs $120 today, and continue to decrease at 13% annually, it will cost $79.02 in three years.

Exponential decay shows that a value continues to decrease at a constant rate per annum.

Exponential decay or decrease is the opposite of exponential growth, which is the other type of exponential function.

Annual decreasing rate = 13%

Decreasing factor = 0.87 (1 - 0.13)

Cost of the component today = $120

Number of years, n = 3

Decreased value in three years = $79.02 ($120 x 0.87^3)

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The Central Limit Theorem is a fundamental concept in statistics that states that the sampling distribution of the mean of a random sample approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

To validate the Central Limit Theorem, you can follow these steps in any computation language of your choice:

1. Define the population distribution: Choose a probability distribution, such as a uniform, exponential, or binomial distribution, to represent the population from which samples will be drawn.

2. Generate random samples: Use the chosen distribution to generate random samples of different sizes. For example, you can generate 100 samples of size 10, 100 samples of size 30, and so on. Make sure to record the means of these samples.

3. Calculate the sample means: For each sample, calculate the mean by summing up all the values in the sample and dividing by the sample size.

4. Plot the sampling distribution: Create a histogram or a density plot of the sample means. This plot will show the distribution of the sample means.

5. Compare with the theoretical distribution: Overlay the theoretical normal distribution on the plot of the sample means. The mean of the sample means should be close to the mean of the population, and the shape of the distribution should resemble a normal distribution.

6. Repeat the process: Repeat steps 2-5 with different sample sizes to observe how the shape of the sampling distribution changes as the sample size increases. The Central Limit Theorem predicts that the distribution of the sample means will approach a normal distribution as the sample size increases.

By following these steps and comparing the distribution of the sample means with the theoretical normal distribution, you can validate the Central Limit Theorem in your chosen computation language.

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Answer:

4 should be the answer to the question

Answer:

11 1/5 divided by 2 3/4:

11 1/5 is a bit less than 12, and 2 3/4 is a bit less than 3  

The answer, therefore, should be fairly close to 12 ÷ 3

12 ÷ 3 is 4

Answer is 4

Step-by-step explanation:

Therefore, the sludge volume index (SVI) for this particular sludge sample is approximately 9 mL/g.

A process control measure called Sludge Volume Index is used to characterise how sludge settles in the aeration tank of an activated sludge process. It was first presented by Mohlman in 1934 and has since evolved into one of the accepted metrics for assessing the physical traits of activated sludge processes.

The volume of settled sludge (in mL) divided by the dry weight of the sludge (in grammes) yields the sludge volume index (SVI), a measurement of the settleability of sludge.

Given: The settled sludge's volume equals 27 cm3.

Sludge weighs 3 grammes when dry.

Since the SVI is normally given in mL/g, we must convert the volume from cm3 to mL in order to compute it:

The settled sludge volume is 27 millilitres.

SVI = Dry weight of sludge (in grammes) / Volume of settled sludge (in mL).

SVI = 27 mL/3 g

9 mL/g SVI

So, for this specific sludge sample, the sludge volume index (SVI) is roughly 9 mL/g.

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Answer:

A

Step-by-step explanation:

If the volume of the cube is 1 ft cubed each side of this cube is 1 cube.

In Mathematics, the volume of a cube is calculated by using this following formula:

V = m³

Where:

Substituting the given points into the volume of a cube formula, we have the following;

1 = m³

By taking the cubic root of both sides of the equation, we have the following:

Side length, m = ∛1

Side length, m = 1

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Answer:

(c)

Step-by-step explanation:

-8 +3x +10 -x = (3x-x) + (-8+10) = 2x + 2

Answer:

i just worked them all... the answer is C. i'm sure!

The graph of the function is attached

The asymptotes are x = 0 and y = 0

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

y = -2/x

The above function is not a parabola

This means that it does not have representations of h and k

However, the value of a is

a = -2

For the asymptotes, we have

y = -2/x

The domain is

x ≠ 0

This means that

x = 0 ---- vertical asymptote

The function has no value at x = 0

This means that the function has no value at y = 0

i.e. y ≠ 0

So, we have

y = 0 ---- horizontal asymptote

See attachment for the graph

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The attached graph represents the location of the pH values 0 and 1

The given parameters are:

pH value 0 = (1, 0)

pH value 1 = (0.1, 1)

This means that we plot a point at the coordinate (1, 0) and another point at the coordinate (0.1, 1).

See attachment for the graph

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Complete question

The pH value is 0 at (1, 0) and 1 at (0.1, 1).

Using desmos

A. Locate, plot, and label on your graph where the pH value is 0.1

B. Locate, plot, and label on your graph where the pH value is 1.

Answer:

153.9

Step-by-step explanation:

the circumference is equal to the radius times 2 times pi or 3.14

the radius is equal to half the diameter.

39/2=24.5

24.5x2x3.14=153.86 but it tells us to round to the nearest tenth and when rounded it equals 153.9

Answer:

Rule: multiply by two

100 = 200

n = 2n

Step-by-step explanation:

First pay attention to the information given to you. 1 goes to 2, 2 to 4, 3 to 6, and 4 to 8. You need to find the rule, or how exactly the input goes into the output. Let's start with 1 x 2 = 2. That would fit for the first one. So we will try that for the next one. 2 x 2 = 4. The rule of multiplying by two works for the second one too. Now we do the third. 3 x 2 = 6. Works again. Next, 4 x 2 = 8. So the rule of multiplying by 2 works for all of the given information.

Now that we have the rule, we can use it to find the missing information. 100 x 2 = 200. So that's your first answer. The second one is a little more tricky if you think about it too hard. The simple answer is 2n. Because n is only a variable and not a real number, it can't be completely multiplied like the rest. It becomes 2n or, 2 times n.

I hope this helped :)

Have a great day

Answer:B

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

10+7+8=25 this is because her cat weighs 8 pounds and her dog weighs 10 pounds more so that's 18 lb. after words it says Cameron's dog weighs 7 pounds less than bills so you do 18+7 and that equals 25

To find the Taylor polynomial of degree 3 for the function f(x) = 1/(1+2.5x), we can use the binomial series expansion.

The binomial series expansion for (1+x)^n, where n is a positive integer, is given by:

\((1+x)^n = 1 + nx + (n(n-1)/2!)x^2 + (n(n-1)(n-2)/3!)x^3 + ...\)

In this case, we have f(x) = 1/(1+2.5x), which can be written as f(x) = (1+2.5x)^(-1).

Using the binomial series expansion, we can express f(x) as:

\(f(x) = 1/(1+2.5x) = 1 - (2.5x) + (2.5x)^2 - (2.5x)^3 + ...\)

Now, let's find the Taylor polynomial of degree 3 for f(x) by keeping terms up to x^3:

\(T3(x) = 1 - (2.5x) + (2.5x)^2 - (2.5x)^3\)

Simplifying:

\(T3(x) = 1 - 2.5x + 6.25x^2 - 15.625x^3\)

Therefore, the Taylor polynomial of degree 3 for the function f(x) =

\(1/(1+2.5x) is T3(x) = 1 - 2.5x + 6.25x^2 - 15.625x^3.\)

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In a convex polygon, the sum of all the exterior angles is always equal to 360 degrees. Given that the four of the exterior angles each measure 56 degrees, we can find the measure of the fifth angle by following these steps:

Here is the step by step explanation

1. Calculate the sum of the four exterior angles that is  4 x 56 = 224 degrees.

2. Subtract the sum of the four angles from the total sum of exterior angles in a convex polygon (360 degrees): 360 - 224 = 136 degrees.

Therefore, the measure of the fifth exterior angle is 136 degrees.

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