PLEASE HELP ME:

John took a 5-mile walk to his friend's house.
.
He left at 11 a.m. and arrived at his friend's house at 12:45 p.m.
What was his average speed of walking in miles per hour?

Answer:

Step-by-step explanation:

11 8/100 +2 25/100 is 13 33/100

The derivative of the given function: y = ln(x² + 2x - 3) can be found using the Chain Rule. The Chain Rule states that if a function consists of an expression inside of another expression, this is called a composition of functions.

In order to differentiate this function, we need to use the Chain Rule. The Chain Rule states that (f∘g)′(x) = f′(g(x))g′(x).So, here we have a function that has the natural logarithm of a function which is composed of the quadratic function x² + 2x - 3 inside of it.

Let g(x) = x² + 2x - 3 and f(x) = ln(x).

Using the Chain Rule, we have:

y' = f'(g(x))g'(x)Where,

f'(x) = 1/x and

g'(x) = 2x + 2.

Now, we have to find y' in terms of x, we can substitute g(x) in terms of x, as:

g(x) = x² + 2x - 3

∴ y' = f'(g(x))

g'(x) = 1/(x² + 2x - 3) × (2x + 2)

= (2x + 2)/(x² + 2x - 3)

Therefore, the derivative of the given function:

y = ln(x² + 2x - 3) is

y' = (2x + 2)/(x² + 2x - 3).

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For the loan amount based on credit rating, Ethel pay $1681 more than the Jack. The option C is the correct option.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

\(A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\\)

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Here, total time period is six years.

As the loan amount is of $7,725 and the APR of Ethel loan is 9. 14%, compounded monthly.

\(A=7725\times\left(1+\dfrac{9.14}{1200}\right)^{72}\\A=13340.2278\)

The APR of Jack’s loan is 6. 88, compounded monthly.

\(A=7725\times\left(1+\dfrac{6.88}{1200}\right)^{72}\\A=11659.05\)

The difference between both final amount is,

\(A=13340.2278-11659.0500\\A\cong1681\)

Hence, For the loan amount based on credit rating, Ethel pay $1681 more than the Jack. The option C is the correct option.

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Answer:

i got it right ⬇️

Answer:

i think  {x,y} = {-5,-2}  

Step-by-step explanation:

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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Answer:

B: 2 1/3 > 2 1/6

is the correct answer

A,C, and D are false answers and are incorrect

Answer:

2 1/3 > 2 1/6

Step-by-step explanation:

5/6 < - 1/3

2 < -2 1/2

negative cannot be bigger than positive

1 1/4 > 1 1/3 if you divide them you would get 1.25 > 1.333333, so 1 1/4 not bigger than 1 1/4

Given:

The fraction of treaters dressed up us halloween, x=2/15.

Let the total trickers be taken as 1.

Now, the proportion of treakers that were not dressed up as spiderman is,

Answer:

Part A: \(\frac{3}{5}\)

Part B: \(\frac{1}{2}\)

Step-by-step explanation:

We know that Alinn flipped a coin 20 times, and that 12 of those times resulted in heads. The other 8 times resulted in tails.

Part A wants us to find the experimental probability of the coin landing on heads. Experimental probability is the probability determined based on the experiments performed.

Part B wants us to find the theoretical probability of the coin landing on heads. Theoretical probability is determined based on the number of favorable outcomes over the number of possible outcomes.

Experimental probability is determined as # of times something occurred experimentally / total number of times.  

Since 12 of the 20 times that Alinn flipped the coin resulted in heads, this means that the experimental probability of Alinn flipping heads is \(\frac{12}{20}\), which simplifies down to \(\frac{3}{5}\).

Theoretical probability, as stated above, is the number of favorable outcomes / possible outcomes.

Our favorable outcome is flipping heads, and on a coin, there are two sides that a coin can land on: heads and tails. This means that there are two possible outcomes, and only one of them is favorable.

This means that our theoretical probability is \(\frac{1}{2}\).

Answer:

-50x - 66

Step-by-step explanation:

Answer:

-50x - 66

Step-by-step explanation:

In order to aerate and laser-grade a baseball field, a contractor charges $350, plus $25 per hour for a job. The equation c=25h+350 describes the cost, c for a job that takes h hours.

a. Rewrite the equation to isolate h.

b. If a job costs $950, how many hours did it take?

we have the equation

c=25h+350

Solve for h------> that means, isolate the variable h

subtract 350 both sides

c-350=25h+350-350

(c-350)=25h

Divide by 25 both sides

(c-350)/25=h

Part 2

h=(c-350)/25

For c=$950

substitute

h=(850-350)/25

h=500/25

The ordered pair that is the solution of the given system of inequalities is (2, -2)

A relationship between two expressions or values that are not equal to each other is called inequality.

Given is a system of inequalities, y < -x and 2x+y > 2, we need to determine solution set of the given system of inequalities,

The inequalities are,

y < -x....(i)

2x+y > 2

y < 2-2x...(ii)

To find the ordered pair, put y = -x in equation Eq(ii) and replace < by =

-x = 2 - 2x

x = 2

y = -2

Therefore, the ordered pair, is (2, -2) {look at the graph attached}

Hence, the ordered pair that is the solution of the given system of inequalities is (2, -2)

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Answer:Without additional information, it is not possible to determine specific points that lie on the line of fit given by the equation y = 24x + 55.

However, we can use the equation to find the y-coordinate for any given x-coordinate or the x-coordinate for any given y-coordinate that lies on the line of fit. For example, if we plug in x=1 to the equation, we get y=79. This means that the point (1, 79) lies on the line of fit.

Similarly, if we plug in y=103 to the equation, we get x=2. This means that the point (2, 103) also lies on the line of fit.

In general, we can find any number of points that lie on the line of fit by selecting different x-values (or y-values) and then using the equation to calculate the corresponding y-values (or x-values)

Step-by-step explanation:

(i) Assumptions of classical linear regression: linearity, independence, homoscedasticity, no perfect multicollinearity, zero conditional mean, and normality. Violation: perfect multicollinearity between X2, X3, and X4.

(ii) Omitted variable bias occurs when X4 is omitted from the model, leading to a biased estimate of β2 compared to α2 if X2 and X4 are correlated.

In the given model, the assumption of no perfect multicollinearity is violated when the regressors X2, X3, and X4 are defined as the log of per capita GDP, the log of the square of per capita GDP, and the proportion of population with graduation, respectively. X3 is a function of X2, and X4 may be correlated with both X2 and X3. This violates the assumption that the independent variables are not perfectly correlated with each other.

Omitted variable bias in β2 compared to α2 occurs when X4 is omitted from the model. This bias arises because X4 is a relevant explanatory variable that affects the dependent variable (Y), and its omission leads to an incomplete model. The bias in β2 arises from the correlation between X2 and X4. If X2 and X4 are not correlated, β2 will equal α2, and there will be no omitted variable bias. However, if X2 and X4 are correlated, omitting X4 from the model will result in a biased estimate of β2 because the omitted variable (X4) affects both Y and X2, leading to a bias in the estimation of the relationship between Y and X2.

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The suppression ratio is calculated using the equation: Suppression Ratio (SR) = 10 * log10(Punaffected / Paffected), where Punaffected is the power of the unaffected signal and Paffected is the power of the affected signal.


The suppression ratio (SR) is a measure of the effectiveness of a suppression system in attenuating or reducing an unwanted or interfering signal. The equation to calculate SR is SR = 10 * log10(Punaffected / Paffected), where Punaffected represents the power of the unaffected signal and Paffected represents the power of the affected signal.

The power values are usually measured in watts or decibels (dB). By taking the logarithm of the ratio between the two powers and multiplying it by 10, the suppression ratio is obtained. A higher suppression ratio indicates a more efficient suppression system, as it signifies a greater reduction in the power of the unwanted signal compared to the desired signal.

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The corresponding polar coordinates are (10, 2π/3). Option B

From the information given, we have;

(-5, 5√3)

Given that the polar coordinates are represented as;

r = √(x² + y²)

θ = arctan(y / x)

We get;

\(r = \sqrt{(-5)^2} + (\sqrt{5} /3)^2\)

Find the value of square, we have;

r = \(\sqrt{25 + 75}\)

Add the values, we get;

r = \(\sqrt{100}\)

Find the square root

r = 10

To determine the value of theta, we get;

θ = arctan((-5√3) / -5)

Divide the values, we have;

θ = arctan(√3)

θ = 60 degrees

Then, we have; (10, 2π/3)

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The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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Answer:

28g.

Step-by-step explanation:

35% of 80g

= 0.35*80

= 28.

The 80g solution contains 28g of salt and 52g of water.

To calculate the amount of salt you would get by evaporating all the water from a 35% salt solution weighing 80g.

To find out how much salt is in the 80g of the 35% salt solution, we'll first need to determine the amount of salt and water present in the solution.

Let's assume:

- Mass of salt (NaCl) in the solution = m salt

- Mass of water (H₂O) in the solution = m water

The concentration of the salt solution is given as 35%, which means 35g of salt is present in every 100g of the solution.

1. First, we'll find the mass of salt (m salt) in the 80g solution:

  m salt = 35% of 80g

  m salt = 0.35 * 80g

  m salt = 28g

2. Next, we'll find the mass of water (m water) in the 80g solution:

  m water = Total mass of the solution - Mass of salt

  m water = 80g - 28g

  m water = 52g

Now, if we evaporate all the water from the solution, the salt will be left behind. So, the mass of the salt remaining after evaporation will be 28g (m salt).

Therefore, by evaporating all the water from the 80g of the 35% salt solution, you will get 28g of salt.

To summarize, we found that the 80g solution contains 28g of salt and 52g of water. By evaporating all the water, we are left with 28g of salt, as per our calculations.

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Answer:72

Step-by-step explanation:

115+115=230

230-158=72

If you add the 115 a month that she earns from babysitting, then add both the months pay together, than subtract 158(cost of the bicycle) by the total pay, you should get 72$

Answer:  D. $72

Step-by-step explanation:

If she earns $115 a month and June and July is a combination of two months then we will have to find the amount she earn toegther in June and July by multiplying 2 by $115.

2(115) = 230

She earned $230 in those months, and if the bicycle cost $158 , then we will have to subtract $158 from $230 to find her remaining amount.

$230 - $158 = $72  

please help me with my homework

Answer:

it's 9

Step-by-step explanation:

type it in a calculater

A CR less than or equal to 0.1 is considered acceptable, indicating a consistent set of judgments in comparing the criteria. If the CR is greater than 0.1, it is advised to revise the pairwise comparisons to improve consistency.

The Consistency Ratio (CR) in the context of the GEAR Matrix (which is related to bikes, not fruit) measures the level of consistency in judgments made when comparing criteria in a decision-making process, such as the Analytic Hierarchy Process (AHP). To calculate the CR for the Criteria in the GEAR Matrix, follow these steps:

1. Determine the pairwise comparison matrix by comparing the importance of each criterion against the others.
2. Calculate the weights of each criterion by normalizing the columns and finding the average for each row.
3. Multiply the pairwise comparison matrix by the weight vector to obtain a new vector.
4. Divide each element of the new vector by its corresponding weight to obtain the Consistency Vector.
5. Calculate the average of the Consistency Vector to get the Consistency Index (CI).
6. Divide the CI by the Random Index (RI) for the specific matrix size (this value can be found in AHP literature) to obtain the Consistency Ratio (CR).

A CR less than or equal to 0.1 is considered acceptable, indicating a consistent set of judgments in comparing the criteria. If the CR is greater than 0.1, it is advised to revise the pairwise comparisons to improve consistency.

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Answer:

14(x)+14(1)

Step-by-step explanation:

Multiply 14 by each number inside the parentheses and add them together.

Answer:

14x + 14

Step-by-step explanation:

When you use Distributive property, you distribute the number outside the parenthesis into the numbers inside the parenthesis.

14 * x = 14x

14 * 1 = 14

The end product = 14x + 14

The expression 3g in the numerator represent the total amount of money paid for the gallons of gas.

Given expression:3g / 4

where,

Therefore, the expression 3g in the numerator represent the total amount of money paid for the gallons of gas.

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The integer that represents this change is -5.

We have,

The change in temperature is represented by the difference between the temperature before and after the storm.

In this case,

The temperature dropped, which means it decreased.

The integer that represents the change in temperature is negative because it indicates a decrease or a loss.

In particular,

The integer that represents a decrease of 5 degrees is -5.

Therefore, if the temperature before the storm was, for example, 20 degrees, the temperature after the storm would be 20 - 5 = 15 degrees, which is 5 degrees lower.

Thus,

The integer that represents this change is -5.

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Answer: A, arithmetic

Step-by-step explanation:

An arithmetic sequence has a constant difference between each term. If she spend 36 dollars each week, the first week would be 36 the second week would be 72, and so on.