Jessica bought a rectangular rug. The area of the rug is 108 sq ft. The width of one side is 9 ft. What is the leng of the rug?​

Tertiary consumers are one level above primary producers in a food chain. In a food chain, the transfer of energy and nutrients occurs from one trophic level to another.

The trophic levels are categorized into producers, primary consumers, secondary consumers, and tertiary consumers.

Primary producers, such as plants or algae, are the first trophic level in a food chain. They convert energy from sunlight into organic matter through photosynthesis. Primary consumers, also known as herbivores, are the organisms that feed directly on primary producers.

Secondary consumers are the next trophic level and they feed on primary consumers. They are usually carnivores or omnivores that consume herbivores.

Finally, tertiary consumers occupy the highest trophic level in a food chain. They are the top predators that feed on secondary consumers. These can include large carnivores or even apex predators.

Therefore, tertiary consumers are one level above primary producers in the food chain. They represent the organisms that obtain energy by consuming other organisms higher up in the trophic hierarchy.

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Answer:

(-9,5)

Step-by-step explanation:

the midpoint occurs 5 units to the right of the endpoint. using this we can deduce that the other endpoint should also be 5 units right to the midpoint

Answer:

C) 7 10

Step-by-step explanation:

Answer:

g is your answer lolllllll

Step-by-step explanation:

we simply use the definitions in the main expression.

f(x) = -3x²

therefore,

f(x + h) = -3(x + h)² = -3(x² + 2hx + h²) = -3x² - 6hx - 3h²

so, we have

((-3x² - 6xh - 3h²) - -3x²)/h

(-3x² - 6xh - 3h² + 3x²)/h

(-6xh - 3h²)/h

this is then

-6x - 3h

and for the limit of h going to 0 this is -6x.

The first hypothesis is acceptable because it is testable. The second hypothesis is not acceptable because it is a statement of opinion. The third hypothesis is not acceptable because it is not testable and measurable. The fourth hypothesis is acceptable because it is testable.

The hypothesis " the new formula of puppy chow makes puppies grow 57% faster than the original formula of puppy chow " is a good hypothesis since it is testable and falsifiable.

"Chris Sale was the best pitcher in Chicago baseball history," is an opinion that cannot be verified or disproven via scientific investigation. This hypothesis is not acceptable because it is a statement of opinion.

The phrase "ghosts really do exist" is also neither testable or falsifiable, and hence is not an admissible hypothesis.

The statement "dogs are happy when fed steak" is a broad generalization that may not apply to all dogs, but it may be tested through controlled experiments. So it is also acceptable.

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Answer:

aver aver

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ISBN: 978-607-729-378-1

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The calculated coordinates of point N is  (3, -6)

To find the coordinates of point N, we need to use the fact that LN to NM is 2:1. This means that the distance from L to N is twice the distance from N to M.

Given that

L = (1, -2) and M = (4, -8)

The coordinates is calculated as

N = 1/(m  + n) * (mx2 + nx1, my2 + ny1)

Substitute the known values in the above equation, so, we have the following representation

N = 1/(2  + 1) * (2 * 4 + 1 * 1, 2 * -8 + 1 * -2)

So, we have

N = (3, -6)

Hence, the point is (3, -6)

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Answer:

D. \(-360\,\frac{km}{h}\)

Step-by-step explanation:

Physically speaking, average acceleration (\(\bar a\)), measured in kilometers per square hour, is defined by following formula:

\(\bar a = \frac{v_{f}-v_{o}}{t_{f}-t_{o}}\) (1)

Where:

\(v_{o}\), \(v_{f}\) - Initial and final speed, measured in kilometers per hour.

\(t_{o}\), \(t_{f}\) - Initial and final instant, measured in hours.

The initial and final instants are, respectively:

\(t_{o} = 5\,min\times \frac{1\,h}{60\,min}\)

\(t_{o} = 0.083\,h\)

\(t_{f} = 9\,min \times \frac{1\,h}{60\,min}\)

\(t_{f} = 0.15\,h\)

If we know that \(t_{o} = 0.083\,h\), \(v_{o} = 60\,\frac{km}{h}\), \(t_{f} = 0.15\,h\) and \(v_{f} = 36\,\frac{km}{h}\), then the average acceleration of Kelly is:

\(\bar a = \frac{36\,\frac{km}{h}-60\,\frac{km}{h}}{0.15\,h-0.083\,h}\)

\(\bar a = -358.209\,\frac{km}{h^{2}}\)

The correct answer is D.

Answer:

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

80%of65

(80/100)×65

52

1) The first iteration, n, turns out to be (x1, y1) = ( , ).

2) If the second iteration, n, is (x2, y2) = ( , ).

To find the values of (x1, y1) and (x2, y2), we need additional information or the specific steps of the gradient method applied in MATLAB. The gradient method is an optimization algorithm that iteratively updates the variables based on the gradient of the function. Each iteration involves calculating the gradient, multiplying it by the learning rate (λ), and updating the variables by subtracting the result.

3) After s many iterations (and perhaps changing the value of λ to achieve convergence), it is obtained that the minimum is found at the point (xopt, yopt) = ( , ).

To determine the values of (xopt, yopt), the number of iterations (s) and the specific algorithm steps or convergence criteria need to be provided. The gradient method aims to reach the minimum of the function by iteratively updating the variables until convergence is achieved.

4) The value of the minimum, once the convergence is reached, will be determined by evaluating the function at the point (xopt, yopt). The specific value of the minimum is missing and needs to be provided.

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the complete question is:

Matlab The Gradient Method Was Used To Find The Minimum Value Of The Function North F(X,Y)=(X^2+Y^2−12x−10y+71)^2 Iterations Start At The Point (X0,Y0)=(2,2.6) And Λ=0.002 Is Used. (The Number Λ Is Also Known As The Size Or Step Or Learning Rate.) 1)The First Iteration N Turns Out To Be (X1,Y1)=( , ) 2)If The Second Iteration N Is (X2,Y2)=( ,

Matlab

The gradient method was used to find the minimum value of the function north

f(x,y)=(x^2+y^2−12x−10y+71)^2 Iterations start at the point (x0,y0)=(2,2.6) and λ=0.002 is used. (The number λ is also known as the size or step or learning rate.)

1)The first iteration n turns out to be (x1,y1)=( , )

2)If the second iteration n is (x2,y2)=( , )

3)After s of many iterations (and perhaps change the value of λ to achieve convergence), it is obtained that the minimum is found at the point (xopt,yopt)=( , );

4)Being this minimum=

Approximately 34.13% of men in the Dinaric Alps region have a height between 68 and 72 inches.

To calculate this percentage, we need to find the area under the normal distribution curve between 68 and 72 inches. We can do this by standardizing the values using the z-score formula:

z = (x - μ) / σ

where x is the height value, μ is the mean height, and σ is the standard deviation.

For x = 68 inches, the z-score is:

z = (68 - 73) / 3 = -1.67

For x = 72 inches, the z-score is:

z = (72 - 73) / 3 = -0.33

Using a standard normal distribution table or a calculator with a normal distribution function, we can find that the area under the curve between z = -1.67 and z = -0.33 is approximately 0.3413 or 34.13%. Therefore, approximately 34.13% of men in the Dinaric Alps region have a height between 68 and 72 inches.

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Answer:

06:56 AM =06:56 H

10:44 AM =10:44 H

10:32 AM =10:32 H

01:09 PM =13:09 H

07:00 AM =07:00 H

Answer:

59/12

Step-by-step explanation:

2 1/4=9/4

9/4+8/3=27/12+32/12=59/12

The tickets in the box model should be:
- 1 ticket with a value of $6 (representing a win)
- 4 tickets with a value of -$2 (representing a loss).

In this gambling game, you have a 4 to 1 payout and a 1 in 5 chance of winning.

To create a box model for this scenario, follow these steps:
Identify the possible outcomes:

In this game, there are two possible outcomes:

winning (with a 1 in 5 chance) and losing (with a 4 in 5 chance).
Determine the payout for each outcome:

If a player wins, they receive a 4 to 1 payout on their $2 bet, so they win $8.

However, they also lose the original $2 bet, so the net gain is $6.

If a player loses, they lose their $2 bet.
Assign tickets to the box model based on the probability of each outcome:

Since there is a 1 in 5 chance of winning, there should be 1 ticket representing a win (net gain of $6) and 4 tickets representing a loss (net loss of $2).

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Answer:

VU = 8

KL = 19

ΔS = 120°

ΔF = 130°

HOPE IT HELP

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In the given problem, random samples of four different models of cars were selected and the gas mileage of each car was measured. The results are shown below:21 226 22 725 21
Given that,The null hypothesis H0: All the population means are equal. The alternative hypothesis H1: At least one population mean is different from the others .

To find the hypothesis test, we will use the one-way ANOVA test. We calculate the grand mean (X-bar) and the sum of squares between and within to obtain the F-test statistic. Let's find out the sample size (n), the total number of samples (N), the degree of freedom within (dfw), and the degree of freedom between (dfb).
Sample size (n) = 4 Number of samples (N) = n × 4 = 16 Degree of freedom between (dfb) = n - 1 = 4 - 1 = 3 Degree of freedom within (dfw) = N - n = 16 - 4 = 12 Total sum of squares (SST) = ∑(X - X-bar)2
From the given data, we have X-bar = (21 + 22 + 26 + 25) / 4 = 23.5
So, SST = (21 - 23.5)2 + (22 - 23.5)2 + (26 - 23.5)2 + (25 - 23.5)2 = 31.5 + 2.5 + 4.5 + 1.5 = 40.0The sum of squares between (SSB) is calculated as:SSB = n ∑(X-bar - X)2
For the given data,SSB = 4[(23.5 - 21)2 + (23.5 - 22)2 + (23.5 - 26)2 + (23.5 - 25)2] = 4[5.25 + 2.25 + 7.25 + 3.25] = 72.0 The sum of squares within (SSW) is calculated as:SSW = SST - SSB = 40.0 - 72.0 = -32.0
The mean square between (MSB) and mean square within (MSW) are calculated as:MSB = SSB / dfb = 72 / 3 = 24.0MSW = SSW / dfw = -32 / 12 = -2.6667
The F-statistic is then calculated as:F = MSB / MSW = 24 / (-2.6667) = -9.0
Since we are testing whether at least one population mean is different, we will use the F-test statistic to test the null hypothesis. If the p-value is less than the significance level, we will reject the null hypothesis. However, the calculated F-statistic is negative, and we only consider the positive F-values. Therefore, we take the absolute value of the F-statistic as:F = |-9.0| = 9.0The p-value corresponding to the F-statistic is less than 0.01. Since it is less than the significance level (α = 0.05), we reject the null hypothesis. Therefore, we can conclude that at least one of the population means is different from the others.

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Answer:

B

Step-by-step explanation:

The equilibrium wage rate as a function of labor demand N is w = z, and the firm's profit π = 0.

a. To find the equilibrium wage as a function of labor demand N, we need to maximize the profit of the firm while taking into account the utility function of the consumer.

The firm's profit function is given by π = zN - wN, where w represents the wage rate.

To maximize the firm's profit, we take the derivative of the profit function with respect to N and set it equal to zero:

dπ/dN = z - w = 0

This implies that the equilibrium wage rate w is equal to z.

Therefore, the equilibrium wage as a function of labor demand N is simply w = z.

b. The firm's profit π is given by π = zN - wN, where w represents the wage rate. In this case, we have already established that the equilibrium wage rate is w = z.

Substituting w = z into the profit function, we have:

π = zN - zN = 0

Therefore, the firm's profit π is zero.

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Answer:

The answer is 153.8

Step-by-step explanation:

To find the perimeter you sum all the sides. 5.9+12.3+12.3+10.9+12.3+23.2+18.2+10.9+12.3+35.5= 153.8

Answer:

\(15 - 3x = - 6 \\ - 3x = - 6 - 15 \\ = 21 \\ x = \frac{21}{ - 3} \\ x = - 7\)

Step-by-step explanation:

Please mark me as the brainliest answer

Answer:

x^3 - 7x^2 + 72

Step-by-step explanation:

you just subtract both equations

a) 10 additional days are required for both to cost the same.

b) The cost is 70$.

At Johan's Rental:

Rent= (50+2x)$

At Martinez Rent:

Rent= (30+4x)$

For both the cost same

By using Elimination method,

50+2x = 30+4x

50-30 = 4x-2x

20 = 2x

x = 10

10 additional days are required for both to cost the same.

Cost = 50+2x

= 50+2*10

=50+20

=70.

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Answer:

c

Step-by-step explanation:

Answer:

41 yards by 118 yards

Step-by-step explanation:

Let W and L be the Width and Length of the playing field:

The perimeter, P, would be P = 2W + 2L

We are told that P = 318 yards.

We learn that L = 3W - 5

Combining this information, we can say:

P = 2W + 2L                         [Oriinal equation]

318 = 2W + 2L                      [P is 318]

318 = 2W + 2(3W-5)             [ Use the definition of L = 3W - 5]

318 = 2W + 6W - 10

328 = 8W

W = 41 yards

Use this value of W to find L:

L = 3W - 5

L = 3(41) - 5

L = 123 - 5

L = 118

CHECK

Does 2*(118) + 2*(41) = 318?  YES

Is the length 5 yards less than triple the width?

3*(41) - 5 = 118  YES

Answer: 26

Step-by-step explanation:

There are 4 common factors of 26 and 52, that are 1, 2, 26, and 13. Therefore, the greatest common factor of 26 and 52 is 26.

Answer:

D

Step-by-step explanation:

Cos(D) = adjacent / hypotenuse

The adjacent side is the one making up angle  D

adjacent side = f

hypotenuse = e

Cos(D) = f/e

D = cos-1(f/e)

Answer:

If y varies directly as x, then we can express this relationship using a proportionality constant k, such that:

y = kx

To solve for k, we can use the initial condition given:

y = 21 when x = 3

Substituting these values into the equation above, we get:

21 = k * 3

Solving for k, we get:

k = 7

Now that we have k, we can use the equation to find y when x = 2:

y = kx

y = 7 * 2

y = 14

Therefore, when x = 2, y = 14.

Step-by-step explanation:

Answer:

n =   -b                    a

        ⁻           +        ⁻

        13                  13