According to the key of a particular park map, every 8 inches on the map represents 3 miles of trails in the park. How many inches on the map represents 9 miles on the park trails

The person can buy a total of 36 distinct systems from three models of the basic unit, three models of keyboard, and four models of printer.

Given, a person buying a personal computer system is offered a choice of three models of the basic unit, three models of keyboard, and four models of printer.

we have to find the number of distinct systems that can be purchased.

Using the concept of Permutations and Combinations, we get

Choose One model of basic unit from three models, Choose one model of keyboard from three models of keyboards and also choose one model of printer from four models of printers.

C(3 , 1)×C(3 , 1)×C(4 , 1)

= 3×3×4

= 36

So, the total of 36 systems can be purchased.

Hence, the total of 36 systems can be purchased.

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Answer:

-1

Step-by-step explanation:

Answer:

Slope = difference in y / difference in x

slope = 0 - 2 / 2 -0

slope = -2 / 2

slope -1

Step-by-step explanation:

The perimeter of a rectangle is the sum of twice the width and twice the length

The function that gives the cost of fencing is given from the graph by the following function;

The reason why the above function is correct is as follows:

Question: Please find attached the required diagram used to obtain the function;

The given parameters are;

Area of the square rectangle = 250 m²

Length of the side of the pen wall parallel to the coop = x

Cost of fencing per foot, c = $10

The function for the cost in dollars of fencing, C(x) = 10x + 5000

Solution:

Let y represent the length of the other side, we have;

x × y = 250

Therefore;

\(P = x + 2 \times \dfrac{250}{x} = x + \dfrac{500}{x}\)

The total cost of the fencing, C(x) = c × P

Therefore;

\(\mathbf{C(x)} = 10 \times \left(x + \dfrac{500}{x} \right) = 10 \cdot x + \dfrac{5,000}{x}\)

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Answer:

The slope (m) = 2/3

Step-by-step explanation:

Taking any two points on the line:

(0,-2) & (3,0)

Using the slope formula to calculate the slope (m):

m = \(\frac{y2-y1}{x2-x1}\)

= (0-(-2))/(3-0)

= (0+2)/3

= 2/3

Hence, the slope (m) is 2/3.

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

Less

Step-by-step explanation:

Think of it like this:

Four times of 0.36

0.36 + 0.36 + 0.36 + 0.36 = 1.44

So 4 × 0.36 is less than 4

Hope I helped your little sista :)

In summary, fy(a,b) is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

The given expression represents the partial derivative of f(x, y) with respect to y, evaluated at (a, b):

fy(a,b) = lim┬(y→b)⁡〖[f(a,y) - f(a,b)]/(y - b)〗

Geometrically, this partial derivative represents the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

To see why this is the case, consider the following argument:

Let L be the limit in the expression given above.

Let h = y - b be the change in the y-coordinate from b to y.

Then, we can rewrite the limit as:

fy(a,b) = lim┬(h→0)⁡〖[f(a,b + h) - f(a,b)]/h〗

This expression represents the average rate of change of f(x, y) with respect to y over the interval [b, b + h].

As h approaches 0, this average rate of change approaches the instantaneous rate of change, which is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

Therefore, fy(a,b) is the partial derivative of f(x, y) with respect to y, evaluated at (a, b).

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Hey there!

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

\(\fbox{9−7y(7)=6+5−3y−416}\)

Step 1: Simplify both sides of the equation.

\(\fbox{9−7y(7)=6+5−3y−416}\)

\(\fbox{9+−49y=6+5+−3y+−416}\)

\(\fbox{−49y+9=(−3y)+(6+5+−416)}\)(Combine Like Terms)

\(\fbox{−49y+9=−3y+−405}\)

\(\fbox{−49y+9=−3y−405}\)

Step 2: Add 3y to both sides.

\(\fbox{−49y+9+3y=−3y−405+3y}\)

\(\fbox{−46y+9=−405}\)

Step 3: Subtract 9 from both sides.

\(\fbox{−46y+9−9=−405−9}\)

\(\fbox{−46y=−414}\)

Step 4: Divide both sides by -46.

\(\fbox{−46y/−46 = −414/−46}\)

\(\fbox{y=9}\)

Answer:

\(\fbox{y=\fbox{9}}\)

Answer:

p/2 - 25 = 150

Step-by-step explanation:

I'll try my best.

$150 would be the initial value, so we would use that for the base.

$25 less means subtract 25 dollars in this context.

2 times means multiply by 2.

"$150 was $25 less than 2 times the amount he paid for it (\(p\))."

\(\frac{p}{2} -25 = 150\)

If you were to solve this:

\(\frac{p}{2} -25 = 150\)

\(\frac{p}{2} =175\)

\(p=350\)

The answer I get from the equation would be $350.

If you input 350 into it:

\(\frac{(350)}{2} -25\)

\(175 -25\)

\(150\)

Answer:

P = 150 ÷ 2 - 25 = p

Step-by-step explanation:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

Given: Harry bought a broken motor scooter, fixed it, and sold the scooter for $150. $25 less than 2 times the amount he paid for it.

To find: Which equation can be used to find, p, the amount of money Harry originally paid for the scooter?

Solution: It says; "That was $25 less than 2 times the amount he paid for it"

With that said, find the amount that is 2 times more than 150. To find that, the opposite of times is division, so divide 150 by 2

\(150\) ÷ \(2 =\) \(75\)

Now that has been found, the next thing to find is $25 less, less means subtract. To calculate the amount Harry originally paid for the scooter, subtract 25 from 75

\(75 - 25 = 50\)

Therefore, the amount of money Harry originally paid for the scooter is $50

Hence, the equation can now be found as; P = 150 ÷ 2 - 25 = p

Answer:

In some circumstances these displays may allow the female to observe the performance of males and to evaluate them as potential mates. To elicit displays from a group of males, a female Mallard may swim with her neck outstretched and her head just above the water

Step-by-step explanation:

hope this helps

To sum up, Edgar's behavior is an example of positive reinforcement as he has learned to associate finishing his work before going to bed with positive consequences.

Edgar's behavior is an example of a learning process known as operant conditioning. Operant conditioning is the concept that we learn to associate our behavior with its consequences, either positive or negative. We are motivated by rewards, such as praise, and punishments, such as criticism, that we experience as a result of our behavior.

In Edgar's case, his relief and ability to fall asleep after completing his research paper can be considered a reward. Thus, he has been conditioned to associate finishing his work before going to bed with positive consequences. This learning process is an example of positive reinforcement.

Positive reinforcement, in which a positive stimulus is used to encourage a desired behavior, is the most effective way to promote good behavior and discourage undesirable behavior. Positive reinforcement can take many forms, including praise, recognition, and tangible rewards.

By contrast, negative reinforcement, which involves removing an unpleasant stimulus, can also be used to encourage a desired behavior, but it is not as effective as positive reinforcement in the long term.

To sum up, Edgar's behavior is an example of positive reinforcement as he has learned to associate finishing his work before going to bed with positive consequences.

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Answer:

0%

Step-by-step explanation:

ITS A CUBE BRUH!!!!

For the total expenditures to be similar, each car must travel  165.79 x 10^3 miles or 1.6579 x 10^5  miles during its lifetime.

The cost of the first automobile is $3.25 x 10^4, and its fuel efficiency is 25.0 miles/gallon of fuel.

The cost of the second automobile is $4.71 x 10^4, and its fuel efficiency is 17.0 km/liter of fuel.

The cost of fuel is $3.50/gallon.

The lifetime of each vehicle requires calculating the number of miles that each automobile must travel for the total cost (purchase cost + fuel cost) to be equivalent.

The total fuel cost of the first vehicle is:

Total Fuel Cost 1 = Fuel Efficiency 1 / Fuel Cost Per Gallon

= 25.0 / 3.50

= 7.1429

The total fuel cost of the second vehicle is:

Total Fuel Cost 2 = Fuel Efficiency 2 * Fuel Cost Per Gallon / Km Per Mile

= 17.0 * 3.50 / 0.621371

= 95.2449

The total cost of the first vehicle for a lifetime of x miles driven is:

Total Cost 1 = Purchase Cost 1 + Fuel Cost 1x

= $3.25 x 10^4 + 7.1429x

The total cost of the second vehicle for a lifetime of x miles driven is:

Total Cost 2 = Purchase Cost 2 + Fuel Cost 2x

= $4.71 x 10^4 + 95.2449x

To find the number of miles each vehicle must travel in its lifetime for the total costs to be equivalent, we need to solve these simultaneous equations by setting them equal to each other:

$3.25 x 10^4 + 7.1429x = $4.71 x 10^4 + 95.2449x

Simplifying the equation:

-$1.46 x 10^4 = 88.102 x - $1.46 x 10^4

Solving for x:

x = 165.79

Therefore, the number of miles that each vehicle must travel in its lifetime for the total costs to be equivalent is 165.79 x 10^3 miles or 1.6579 x 10^5 miles.

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The boxes filled by the machine are underweight if the standard deviation is 0. 3 oz  is 0.62%

we are given a box of oatmean containing 16 oz, a  machine that fille the oatmeal boxes on an average  of 16.5 oz boxes and the boxes filled by the machine have weights that can be closely approximated by a normal curve, at last, we are given the standard deviation of  0. 3 oz .The formula we are referring to for calculating the z score is  

z = x- mean /standard deviation , where x is the observed value

So for the standard  value of  0.3 oz, z= 16-16.5/0.3 = -2.5

The probability for the  score -2.5 is s 0.0062 or 0.62%

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The correct statement is d) None of the above. In fact, the order of the group E(Fp) can be any prime or power of a prime, so it is unlikely that n would be equal to it.

The order of P and Q are not necessarily equal in an elliptic curve, and neither of them necessarily equals the order of the group E(Fp).
If P has order r and Q is a multiple of P, then Q has order s = n*r. In general, the order of a point on an elliptic curve can be any divisor of the order of the group E(Fp), so it is not necessarily equal to the group order.

a) n is the order of P: This is not necessarily true. The order of P can be any divisor of the order of the group E(Fp). The only thing we know for sure is that n is a multiple of the order of P, since Q is a multiple of P.
b) n is the order of Q: This is also not necessarily true. Q has order s = n*r, where r is the order of P. Again, the order of Q can be any divisor of the order of the group E(Fp).
c) n is the order of the group E(Fp): This is not true either. In fact, the order of the group E(Fp) can be any prime or power of a prime, so it is unlikely that n would be equal to it.
Therefore, the correct answer is d) None of the above.

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There are 130 positive integers less than 1000 that are divisible by 7 but not by 11.

The rule used to find the number of positive integers less than 1000 that are divisible by 7 but not by 11 is the inclusion-exclusion principle. This principle states that if we want to find the number of elements that belong to at least one of two sets, we can add the sizes of the sets together and then subtract the size of the intersection of the sets. In this case, we first find the number of positive integers less than 1000 that are divisible by 7 (which is 142), then the number that are divisible by 11 (which is 90), and finally the number that are divisible by both (which is 12). Using the inclusion-exclusion principle, we can find the number of positive integers less than 1000 that are divisible by 7 but not by 11 by subtracting the number that are divisible by both from the number that are divisible by 7: 142 - 12 = 130. Therefore, there are 130 positive integers less than 1000 that are divisible by 7 but not by 11.
To find the number of positive integers less than 1000 that are divisible by 7 but not by 11, you can use the Inclusion-Exclusion Principle.

First, find the number of integers divisible by 7: there are 999/7 = 142.71, so 142 integers are divisible by 7.

Next, find the number of integers divisible by both 7 and 11 (i.e., divisible by their LCM, which is 77): there are 999/77 = 12.97, so 12 integers are divisible by 77.

Now, apply the Inclusion-Exclusion Principle: Subtract the number of integers divisible by both 7 and 11 from the number of integers divisible by 7: 142 - 12 = 130.

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Suppose after the shock, the economy temporarily stays at the short-run equilibrium, then the output gap Y2−Y1 is: B< (less than)As the output gap measures the difference between the actual output (Y2) and potential output (Y1), when the output gap is less than zero, that is, the actual output is below potential output.

The inflation gap π2−π1 is 0. C= (equal)When the inflation gap is zero, it means that the current inflation rate is equal to the expected inflation rate.12. Suppose there is no government intervention, the economy will adjust itself from short-run equilibrium to long-run equilibrium, at such long-run equilibrium, output gap Y3−Y1 is 0. C= (equal). As the long run equilibrium represents the potential output of the economy, when the actual output is equal to the potential output, the output gap is zero.13.

The inflation gap π3−π1 is 0. C= (equal) Again, when the inflation gap is zero, it means that the current inflation rate is equal to the expected inflation rate.14. (1 point) Suppose the Fed takes price stability as their primary mandates, then which of the following should be done to address the shock. B monetary tightening When the central bank takes price stability as its primary mandate, it aims to keep the inflation rate low and stable. In the case of a positive shock, which can lead to higher inflation rates, the central bank may implement a monetary tightening policy to control the inflation.

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Answer:

The car's rate is 50 miles per hour, and it will travel 150 miles in 3 hours

Step-by-step explanation:

There are about 1.6 kilometres in a mile, meaning that in 80 miles there are about 50 miles. This means that the car's rate in miles per hour is about 50. This means that in 3 hours, it will travel about 50*3=150 miles. Hope this helps!

The Laplace domain equation X(s) is found to be X(s) = (s + 2)/(s^2 + 5s + 6). The time domain equation x(t) can be obtained by applying the inverse Laplace transform to X(s), resulting in x(t) = e^(-t) - e^(-2t).

Given the Laplace domain equation X(s), we need to substitute the given parameters and find its expression in terms of s. The equation provided is X(s) = (s + 2)/(s^2 + 5s + 6).

To obtain the time domain equation x(t), we need to apply the inverse Laplace transform to X(s). The inverse Laplace transform of X(s) will give us x(t) in terms of t.

Applying the inverse Laplace transform to X(s) involves finding the inverse transform of each term separately. The inverse Laplace transform of (s + 2) is simply 1, representing the unit step function. The inverse Laplace transform of (s^2 + 5s + 6) is e^(-t) - e^(-2t), which can be obtained through partial fraction decomposition.

Therefore, the time domain equation x(t) is given by x(t) = e^(-t) - e^(-2t), where t represents time.

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Answer: x = -\(\sqrt[3]{2}\)

Step-by-step explanation: sorry if i am wrong

Answer:

Slope = -3

Step-by-step explanation:

From (-1,0) to (0,-3), the line has a change of -3/1 (change in y/change in x) or -3

Answer:

1. A) -12, 3 B) -6, 9 C) 0, -6 D) -15, -6

2. L) 1, -4 M) 6, 4 N) 7, -2

3. P) 4, 12 Q) 12, 12 R) 12, 8 S) 4, 8

4. W) 3, -6 X) 9, -3 Y) 15, -6 Z) 9, -9

5. M) -14, -8 N) -8, -6 O) -6, -12 P) -12, -14

6. D) -1, 3 E) 2, 2 F) 2, 1 G) -1, 0

Rashid spent a total of 1 hour and 30 minutes on homework for these three subjects.

If Rashid spent 30 minutes on each piece of homework for three subjects, we can calculate the total time he spent by multiplying the time spent per subject (30 minutes) by the number of subjects (3).

30 minutes * 3 = 90 minutes.

To convert this into hours and minutes, we divide 90 minutes by 60 since there are 60 minutes in an hour.

90 minutes ÷ 60 = 1 hour and 30 minutes.

Therefore, Rashid spent a total of 1 hour and 30 minutes on homework for these three subjects.

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ANSWER. My answer might be wrong also.

First we need to decide a message:

"Irene has a party"

Then we need to break the message and replace every letter with a number

Ire ; ne- ; has ; -a- ; par ; ty-

becomes...

IRE = [9;18;5]

NE- = [14;5;27]

HAS = [8;1;19]

-A- = [27;1;27]

PAR = [16;1;18]

TY- = [20;25;27]

Please, take into account that [a;b;c] is writen as:

Now, we need to select a 3x3 matriz that has an inverse

Matrix M has an inverse M^-1

Now, we need to mutiply each column matrix by M

IRE = [9;18;5]

NE- = [14;5;27]

HAS = [8;1;19]

-A- = [27;1;27]

PAR = [16;1;18]

TY- = [20;25;27]

Now let's write this codes as a string of numbers:

12 0 15 -62 -23 81 -48 -15 57 -53 -53 81 -37 -31 54 -36 -15 81

Answer:

450 per month

Step-by-step explanation:

5000-1400=3600

3600/8=450

Since Peter already has 1400 dollars saved you can subtract that form the total amount and since he is trying to get the rest in eight months you just divide the difference by eight.

Answer:

-7(x+2)

Step-by-step explanation:

-3(2x+5)-(x-1)

↦ -6x+(-15)-x+1

↦-6x-x-15+1

↦7x-14

↦2(x-7)