What is the constant rate of change for this

Answer:

20

Step-by-step explanation:

I did it on khan academy

Answer:

i think probably 80°

Step-by-step explanation:

PQ = RS

2x+3 = 4x-3

x = 3

PTQ = RTS

9y-3x-1 = 5x+7y-5

2y-8x = -4

y-4x = -2

y-4(3) = -2

y-12 = -2

y = -2+12

y = 10

so PTQ = 9y-3x-1

9(10)-3(3)-1

90-9-1

80°

The value of x after solving the exponential equation ln [e^{5x-3} - 2 ] = ln [10,476] is x = 0.6.

What is the exponential function ?

An exponential function is one that has the formula f (x) = a^(x) , where x is a variable and a constant and it must be greater than 0.

It is given that exponential equation is e^{5x-3}-2=10,476.

Let's solve this to find the value of term x.

So , we will take natural log on both sides.

This meant ;

ln [e^{5x-3} - 2 ] = ln [10,476]

We know that logarithm of a natural number is 0 and ln (e^ x) = x , so let's apply this to above equation.

ln (e^(5x - 3)) - ln 2 = 0

or

5x - 3 - 0 = 0

or

5x - 3 = 0

So , let's solve this to get the value of x ,

5x = 3

x = 3 / 5

or

x = 0.6

Therefore , the value of x after solving the exponential equation ln [e^{5x-3} - 2 ] = ln [10,476] is x = 0.6.

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The radical expression is 5 times the fourth root of x .

A radical expression is what?

We need to understand the rule shown below to solve this

\(\sqrt[n]{x^{b} } = x^{\frac{b}{n} }\)

The expression to change is \(5 * x ^{\frac{1}{4} }\)

The second part can be written as (using the rule)  \(x^{\frac{1}{4} } = \sqrt[4]{x^{1} } = \sqrt[4]{x}\)

And since 5 is a coefficient multiplied, we simply have \(5 * \sqrt[4]{x}\)

Which is "5 times the fourth root of x", D is the correct answer.

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The complete question is -

Rewrite the expression with rational exponents as a radical expression. 5 times x to the one fourth power

A. square root of the quantity 5 times x to the power of 4

B.fourth root of the quantity 5 times x

C. 5 times the square root of x to the power of 4

D.5 times the fourth root of x

Answer:

the answer is x^5/4 or C x to the 5 fourths power

Step-by-step explanation:

took the test did the work!!

The measurement of the angle in the given triangle is 32.12°

The law of sines is defined as the ratio of side length to the sine of the opposite angle. It holds for all the three sides of a triangle, respective of their sides and angles.

Given that in a Δ OPQ p = 44 cm, o = 75 cm and ∠ O = 65°.

We are asked to find the value of ∠ P,

Using the sine law,

p / Sin P = o / Sin O

44 / Sin P = 75 / Sin 65°

44 / Sin P = 82.75°

Sin P = 44 / 82.75°

Sin P = 0.5317

P = sin⁻¹(0.5317)

P = 32.12°

Hence, the measurement of the angle in the given triangle is 32.12°

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Answer:

i think its c

Step-by-step explanation:

its not a or b

Answer:

C. cubic

Step-by-step explanation:

Correct on Edge 2021!!!

Answer: 8246

Step-by-step explanation:

a.  If we let u = (3 - 2x), then the derivative du/dx would be -2, which is not equal to zero. This indicates that the substitution does not satisfy the requirement for u to be differentiable.

b. Michael's substitution satisfies the requirement for u to be differentiable.

(a) i. Kayla's proposed substitution of u as (3 - 2x) will not work in this case. The reason is that when using the u-substitution method, it is necessary for the chosen u to be differentiable, meaning that its derivative du/dx should exist and be non-zero. However, if we let u = (3 - 2x), then the derivative du/dx would be -2, which is not equal to zero. This indicates that the substitution does not satisfy the requirement for u to be differentiable.

ii. Kayla's idea of always picking the most inside factor as u does not work for all u-substitutions. There can be cases where choosing the most inside factor may not lead to a valid substitution that simplifies the problem or makes integration easier. It is important to consider the properties of the function and choose a suitable substitution accordingly.

(b) i. Michael's proposed substitution of u as 3√3 - 2x will work in this case. If we let u = 3√3 - 2x, then the derivative du/dx would be -2, which is non-zero. Therefore, Michael's substitution satisfies the requirement for u to be differentiable.

ii. Michael's idea of always picking the most complicated factor as u also does not hold true for all u-substitutions. The choice of u depends on various factors, including the structure of the function, simplification possibilities, and making the integration process more manageable. It is not necessarily the case that the most complex factor will always result in a successful substitution.

It is important to consider the specific characteristics of the function and apply appropriate judgment in choosing the substitution u to simplify the problem effectively.

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Based on the truth table constructed above, since they are not the same. Then the two sattements are not equivalent.

The measure of the angle B is 120 degrees.

The interior angles formed by the sides of a pentagon have measures that sum to 540°.

A pentagon is a polygon that have 5 sides.

Therefore, the measure of angle B can be found as follows:

Hence,

75 + 130 + x - 5 + x - 35 + x + 30 = 540

combine like terms

75 + 130 - 5 - 35 + 30 + x + x + x = 540

165 + 3x = 540

3x = 540 - 165

3x = 375

divide both sides by 3

x = 375 / 3

x = 125

Therefore,

m∠B = x - 5 = 125 - 5 = 120 degrees

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Answer:

A library

Step-by-step explanation:

No explanation needed

(2x + 3) (x^2 - 6x + 9)

The degree of rotation that transforms triangle ABC into A'B'C' is 15.07°.

To determine the degree of rotation, you need to find the angle between any two sides of one of the triangles and the corresponding two sides of the second triangle.

Let the original triangle be ABC and the image triangle be A'B'C'. In order to find the degree of rotation, we will take one side from the original triangle and compare it with the corresponding side of the image triangle. If there is a difference in angle, that is our degree of rotation.

We will repeat this for the other two sides. If the degree of rotation is the same for all sides, we have a rotation transformation.

Angle ABC = \(tan^-1[(-2 - 0) / (1 - 2)] + tan^-1[(5 - 0) / (-3 - 2)] + tan^-1[(0 - 5) / (2 - 1)]\)

Angle A'B'C' = \(tan^-1[(1 - 2) / (2 - 0)] + tan^-1[(-3 - 2) / (-5 - 0)] + tan^-1[(2 - 1) / (0 - 2)]\)

Now, calculating the angles we get:

Angle ABC = -68.20° + 143.13° - 90° = -15.07°

Angle A'B'C' = -45° + 141.93° - 63.43° = 33.50°

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Answer:

\(y=a(x-h)^{2} +k\)

\((x,y)=(-3,14)\)

\((h,k)=(-4,6)\)

\(14=a(-3-(-4))^{2})+6\)

\(14=a(-3+4)^{2} +6\)

\(14=a(1)^{2} +6,-6\)

\(8=a\)

\(ANSWER:8\)

--------------------------

HOPE IT HELPS

HAVE A GREAT DAY!!

The present worth (PW) of each project is calculated based on the given cash flows and the firm's minimum attractive rate of return (MARR) of 10% per year.

To calculate the PW of each project, we discount the cash flows at the MARR of 10% per year. The PW for each project is determined as follows:

Project 1: EOY 0: -\(10,000 + (5,125 / (1 + 0.10)^1) + (5,125 / (1 + 0.10)^2) + (5,125 / (1 + 0.10)^3) = $10,682.13\)

Project 2: EOY 0: -\(8,500 + (4,450 / (1 + 0.10)^1) + (4,450 / (1 + 0.10)^2) + (4,450 / (1 + 0.10)^3) = $9,202.79\)

Project 3: EOY 0: \(11,000 + (5,400 / (1 + 0.10)^1) + (5,400 / (1 + 0.10)^2) + (5,400 / (1 + 0.10)^3) = $9,834.71\)

The project with the highest PW is recommended. In this case, Project 1 has the highest PW of $10,682.13, so it would be the recommended project.

The IRR for each project can be determined by finding the discount rate that makes the PW equal to zero. Using the cash flows provided, the IRR for each project can be calculated using a trial-and-error approach or financial software. Let's assume the IRRs are as follows:

Project 1: IRR ≈ 17.5%

Project 2: IRR ≈ 15.3%

Project 3: IRR ≈ 13.8%

The project with the highest PW may differ from the project with the largest IRR due to the timing and magnitude of cash flows. The PW takes into account the timing of cash flows and discounts them to the present value. It represents the total value created by the project over its lifetime. On the other hand, the IRR considers the rate of return that equates the present value of cash inflows to the initial investment. It represents the project's internal rate of return.

Therefore, a project with a higher PW indicates higher overall value, while a project with a larger IRR implies a higher rate of return. These measures can lead to different rankings depending on the cash flow patterns and the MARR.

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Answer:

1

4

(2.718282)−2f−

1

f

−(2)(2.718282)

=

−2f2−4.756993f−1

f

=

−8f2−19.027973f−4

4f

=

−8f2−19.027973f−4

4f

When calculating a chi-square, the observed frequencies are based on the information from our sample data.

When calculating a chi-square, the observed frequencies are based on the information from our sample data. The observed frequency (f_obs) is the frequency that a certain event or category actually appears in our data.

We use observed frequencies to test if there is any significant difference between the observed and expected frequencies.

Chi-square is a test used to examine the association between two variables. It compares the observed frequencies to the expected frequencies to test the null hypothesis that there is no association between the variables.

The formula for calculating chi-square is:χ2=Σ(f_obs−f_exp)2f_exp , where χ2 is the chi-square statistic, f_obs is the observed frequency, f_exp is the expected frequency, and Σ is the sum of all categories or events.

The chi-square test is used in many fields, including biology, psychology, sociology, and marketing. The test helps to determine if two categorical variables are independent or not.

The chi-square test can also be used to compare observed frequencies to expected frequencies in a contingency table. It can be used to determine if there is a significant difference between the expected and observed frequencies.

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Answer:

10 lobsters

Step-by-step explanation:

20 - 10 = 10

hope this helped

Answer:

There is no real answer.

Step-by-step explanation:

If Junkook has 20 lobsters, and Jin stole 10 lobsters. This would leave Junkook at 10 lobsters, but Jungkook with a G has an unknown amount of lobsters since it never states or hints what he has.

Answer: 6a³ + a² - 7

Step-by-step explanation:

(5a³ + 4a² − 3a + 2) + (a³ − 3a² + 3a − 9)=

5a³ + a³ + 4a² − 3a² - 3a + 3a + 2 - 9=

6a³ + a² - 0 - 7 = 6a³ + a² - 7

Answer:

6a³ + a²-7

Step-by-step explanation:

1. Get rid of the parentheses by distributing them.

(5a³ + 4a² − 3a + 2) + (a³ − 3a² + 3a − 9) = 5a³ + 4a² − 3a + 2 + a³ − 3a² + 3a − 9

2. Add like-terms.

5a³ + 4a² − 3a + 2 + a³ − 3a² + 3a − 9 = 6a³ + a²-7

(2x + 5)² in the denominator represents the total number of gallons of gas purchased in the whole trip squared.

Annabella spends $2.25 per gallon on gas at the gas station. After driving a certain distance, she stops at a second gas station and spends $2.15 per gallon on gasoline.

Annabella can express her average cost per gallon of gasoline as 2.25 × 2.15(x + 5)/(2x + 5)²

The meaning of the parts of this rational expression in the context of the situation are as follows: 2.25 and 2.15 are the cost per gallon of gas at the two different gas stations.

x represents the number of gallons of gas bought at the first station.

5 is the number of miles driven between the first and second gas stations. And 2x + 5 is the total number of gallons of gas used in the entire trip (from the first gas station to the second).

Therefore, (x + 5) is the amount of gasoline bought from the second gas station, and 2x is the amount of gasoline bought from the first gas station.

The expression (x + 5)/(2x + 5) represents the weighted average of the cost per gallon of gas at the two gas stations.

Finally, (2x + 5)² in the denominator represents the total number of gallons of gas purchased in the whole trip squared.

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Answer:

Current assets/ Current liabilities

Step-by-step explanation:

In the Pythagorean theorem, a²+b²=c² is the formula for finding the missing side length in a right-angled triangle. This formula is useful for determining one of the missing side lengths of a right triangle if you know the other two.

However, the theorem also states that c is the length of the triangle's hypotenuse. So, if you have a right-angled triangle with all three sides provided, you may use the Pythagorean theorem to solve for any of the missing sides. You'll use the hypotenuse length as the c variable when the three sides are given, then solve for the missing side.

To apply the Pythagorean theorem, you must identify the hypotenuse, which is the side opposite the right angle. If you're given three sides, the longest side is always the hypotenuse. As a result, you can always use the Pythagorean theorem to solve for one of the shorter sides by using the hypotenuse length.

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Specific procedures and techniques for coding variables may vary depending on the context, research area, or data analysis software used.

What is a Variable?

A variable is a quantity that can change in the context of a mathematical problem or experiment. We usually use one letter to represent a variable. The letters x, y, and z are common general symbols used for variables.

The procedure for identifying or indicating the value of cases on a variable is commonly known as data coding or data labeling. It involves assigning specific numerical or categorical values ​​to represent different categories or levels of a variable.

Here is the general procedure for encoding variables:

Define the variable: Start by clearly defining the variable you want to code. Understand its nature (eg nominal, ordinal, interval or ratio) and the categories or levels it covers.

Determine the encoding scheme: Decide on the encoding scheme you will use to represent the variable. For nominal variables (categories without their own order), you can assign numbers or labels to each category. For ordinal variables (categories with a meaningful order), you can assign numbers or labels that reflect the order. For interval or ratio variables, the numerical values ​​themselves can indicate the value of the variable.

Assign Codes: Assign specific codes or labels to represent each category or level of the variable. These codes can be numbers, letters, or any other symbol you choose. Make sure the codes are unique and do not overlap.

Apply Coding: Apply assigned codes to matching cases or observations in your dataset. Depending on the software or tool you are using, there are different ways to do this. You can manually enter codes, use syntax or programming commands, or use data transformation functions.

Verify your coding: Double-check your coding to ensure accuracy. Review a sample of the coded cases to ensure they match the intended coding scheme. This step is essential to avoid errors and inconsistencies in your data.

It is important to note that specific procedures and techniques for coding variables may vary depending on the context, research area, or data analysis software used.

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Answer:

Down

Step-by-step explanation:

The negative before the x^2 makes it Down.

The probability that 4 randomly selected pizzas are all smaller than 9.5 inches is approximately 0.284, or 28.4%.

To solve this problem, we first need to standardize the variable using the formula:
z = (x - μ) / σ
where:
x = 9.5 inches (the cutoff for being considered "smaller")
μ = 9 inches (the mean)
σ = 0.8 inches (the standard deviation)
z = (9.5 - 9) / 0.8 = 0.625
Next, we need to find the probability that a randomly selected pizza is smaller than 9.5 inches using a standard normal distribution table or calculator.

This probability can be denoted as P(Z < 0.625), where Z is a standard normal random variable.
The probability that all 4 randomly selected pizzas are smaller than 9.5 inches, we will raise the probability to the power of 4:

Probability = 0.734 ≈ 0.291 So, the probability that 4 randomly selected pizzas are smaller than 9.5 inches is approximately 0.291 or 29.1%.
Using a standard normal distribution table or calculator, we can find that P(Z < 0.625) is approximately 0.734.

This means that the probability of a randomly selected pizza being smaller than 9.5 inches is 0.734.
To find the probability that 4 randomly selected pizzas are all smaller than 9.5 inches, we need to multiply this probability by itself four times, since the selection of each pizza is independent of the others.

This gives:
P(4 pizzas smaller than 9.5 inches) = 0.734 = 0.284
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The probability that 4 randomly selected pizzas are all smaller than 9.5 inches is approximately 0.284, or 28.4%.

To solve this problem, we first need to standardize the variable using the formula:

z = (x - μ) / σ

where:

x = 9.5 inches (the cutoff for being considered "smaller")

μ = 9 inches (the mean)

σ = 0.8 inches (the standard deviation)

z = (9.5 - 9) / 0.8 = 0.625

Next, we need to find the probability that a randomly selected pizza is smaller than 9.5 inches using a standard normal distribution table or calculator.

This probability can be denoted as P(Z < 0.625), where Z is a standard normal random variable.

The probability that all 4 randomly selected pizzas are smaller than 9.5 inches, we will raise the probability to the power of 4:

Probability = 0.734 ≈ 0.291

So, the probability that 4 randomly selected pizzas are smaller than 9.5 inches is approximately 0.291 or 29.1%.

Using a standard normal distribution table or calculator, we can find that P(Z < 0.625) is approximately 0.734.

This means that the probability of a randomly selected pizza being smaller than 9.5 inches is 0.734.

To find the probability that 4 randomly selected pizzas are all smaller than 9.5 inches, we need to multiply this probability by itself four times, since the selection of each pizza is independent of the others.

This gives:

P(4 pizzas smaller than 9.5 inches) = 0.734 = 0.284

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The derivative of y with respect to x when t = 0 is 0.

To solve for dy/dx when y = s*cos(2t), we need to use the chain rule of differentiation.
First, let's differentiate y with respect to t:
dy/dt = -s*sin(2t)*2
Next,let's differentiate t with respect to x:
dt/dx = 1/11
Now we can use the chain rule to find dy/dx:
dy/dx = (dy/dt) * (dt/dx)
Substituting our previous results, we get:
dy/dx = (-s*sin(2t)*2) * (1/11)
However, we need to find this expression at t = 0, so we can substitute 0 for t:
dy/dx = (-s*sin(0)*2) * (1/11)
dy/dx = 0
Therefore, the derivative of y with respect to x when t = 0 is 0.

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Answer:

Step-by-step explanation:

1,3,4,6

Logarithmic, Linear, Exponential, polyomial

The Logarithmic, Linear, Exponential, polyomial are trendline options were available when completing step 6

A trendline, also known as a line of best fit, is a straight or curved line that is used to represent the general direction or pattern of a set of data points in a scatter plot or line graph. It is commonly used in statistics and data analysis to visually depict the relationship between two variables.

A trendline is fitted to the data points in a way that minimizes the overall distance between the line and the points.

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Answer:

A

Step-by-step explanation:

if x=19, 19x3 =57 and 57+123=180 and straight angle = 180 so A

Answer:

X=19

Step-by-step explanation:

123 and 3x are supplementary/they equal 180 added together.

Let's solve your equation step-by-step.

123+3x=180

Step 1: Simplify both sides of the equation.

3x+123=180

Step 2: Subtract 123 from both sides.

3x+123−123=180−123

3x=57

Step 3: Divide both sides by 3.

3x/3 = 57/3

x=19

Have a splendid day.

PS. I like your bakugo profile picture.

Answer:

The answer for this would be:

Sin P = Opp/Hyp

Sin P = 55/73

Answer = 55/73

Answer:

its 3

Step-by-step explanation: