A botanist (plant biologist) studies a plant called Foxtail Ferns for a living.


(How exciting.) She is interested in doing an experiment to see what


combination of temperature and humidity they grow best in. So, she sets up


four different rooms: ROOM ONE is High Temp, High Humidity. ROOM


TWO is High Temp, Low Humidity. ROOM THREE is Low Temp, High


Humidity. ROOM FOUR is Low Temp, Low Humidity. She puts ten Foxtail


Ferns in each of these rooms. At the end of the week-long experiment, she


measures the Ferns' height and finds the average height of the plants in each


room. For this experiment, what is the I.V. (Independent Variable)?


O The height of the plants after one week


O Foxtail Ferns


Which room (temp/humidity combination) the plants are in

Answer:

just cause

Step-by-step explanation:

Slope:

8

y-intercept:

2

Answer:

c

Step-by-step explanation

because 2 is the y intercept and 3 is the slope so you plot (0,2) than do the slope.

When the beam of light emerges into the air after passing through the entire stack, it makes an angle of approximately 29.4° with the normal.

We need to apply Snell's Law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the indices of refraction for two different media.

Step 1: Calculate the angle of refraction in the first material using Snell's Law.
n1 * sin(i1) = n2 * sin(r1)
1 * sin(60°) = 1.20 * sin(r1)
sin(r1) = 0.5/1.20
r1 ≈ 25.4°

Step 2: Repeat the process for the remaining materials, using the previous angle of refraction as the new angle of incidence. Calculate the final angle of refraction in the last material.

For the second material:
1.20 * sin(25.4°) = 1.40 * sin(r2)
r2 ≈ 21.4°

For the third material:
1.40 * sin(21.4°) = 1.32 * sin(r3)
r3 ≈ 22.9°

For the fourth material:
1.32 * sin(22.9°) = 1.28 * sin(r4)
r4 ≈ 23.3°

Step 3: Calculate the angle of emergence in air.
1.28 * sin(23.3°) = 1 * sin(e)
e ≈ 29.4°

When the beam of light emerges into the air after passing through the entire stack, it makes an angle of approximately 29.4° with the normal.

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Answer:

24/11 approx 2.181818

Step-by-step explanation:

11x -4 = 20

11x= 20 +4

11x = 24

x = 24/11 approx 2.1818181818182

Answer:

x = \(\frac{24}{11}\)

Step-by-step explanation:

Given

11x - 4 = 20 ( add 4 to both sides )

11x = 24 ( divide both sides by 11 )

x = \(\frac{24}{11}\)

Answer:

1. y = 2x + 3

2. y = -3x + 1

3. y = 1/2x

Step-by-step explanation:

y=kx+m

k=y2-y1 / x2-x1

1. k=7-5/2-1= 2/1=2

y=2x+m

we want to find out what m is. to do so insert one of the points and solve the equation.

I'll choose (1.5)

5=2×1+m

m= 3

to make sure it's correct I'll use the other point too and see if I get the same answer.

(2.7)

7=2×2+m

m=3

the equation you'll end up with is

\(1) \: \: \: \: \: y = 2x + 3\)

do the same to the other ones.

\(2) \: \: \: \: y = - 3 + 1\)

try doing the 3 one yourself

The grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.

To determine the number of trees the plum grower should plant per acre to maximize her harvest, we can set up an equation and use calculus to find the optimal solution. Let's denote the number of additional trees planted as x.

The yield of each tree can be represented by the equation:

Yield = 126 - 2x

The total yield per acre is then given by:

Total Yield = (26 + x) * (126 - 2x)

To maximize the harvest, we need to find the value of x that maximizes the total yield. We can achieve this by finding the maximum point of the quadratic equation representing the total yield.

Differentiating the equation with respect to x and setting it equal to zero, we can find the critical point:

d(Total Yield)/dx = -4x + 252 - 2(26 + x) = 0

Simplifying the equation, we get:

-4x + 252 - 52 - 2x = 0

-6x + 200 = 0

x = 200/6

x ≈ 33.33

Since we cannot have a fraction of a tree, the grower should plant 33 additional trees per acre to maximize her harvest. This gives a total of 26 + 33 = 59 trees per acre.

To find the maximum harvest, we substitute the value of x into the equation for the total yield:

Total Yield = (26 + 33) * (126 - 2 * 33)

Total Yield ≈ 59 * 60

Total Yield ≈ 3540 bushels

Therefore, the grower should plant 59 trees per acre to maximize her harvest, and the maximum harvest she can achieve is approximately 3540 bushels.

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To be an active listener, Moritz should watch how the judges react, nod when he agrees with Giovanna, consider possible responses, and avoid interrupting Giovanna to ask questions.

Being an active listener involves actively engaging in a conversation and demonstrating attentive behavior. In the given scenario, Moritz can employ several strategies to enhance his active listening skills.

Firstly, Moritz should watch how the judges react. Observing their facial expressions, body language, and nonverbal cues can provide valuable insights into their thoughts and opinions. By paying attention to their reactions, Moritz can better understand their perspectives and adapt his own responses accordingly.

Secondly, nodding when he agrees with Giovanna is an effective way to demonstrate active listening. Nodding serves as a nonverbal cue that shows Moritz is actively processing and acknowledging Giovanna's points. It signals his agreement and encourages her to continue sharing her thoughts.

Furthermore, Moritz should consider possible responses while listening to Giovanna. Instead of passively absorbing information, active listeners actively think about what is being said. This involves analyzing and reflecting on the points made, formulating thoughtful responses, and preparing to contribute to the conversation in a meaningful way.

However, it is important for Moritz to avoid interrupting Giovanna to ask questions. Interrupting can disrupt the flow of conversation and hinder effective communication. It may also be perceived as rude or disrespectful. Instead, Moritz should allow Giovanna to complete her thoughts and then pose his questions or seek clarification in an appropriate manner.

In summary, to be an active listener, Moritz should watch how the judges react, nod when he agrees with Giovanna, consider possible responses, and refrain from interrupting Giovanna to ask questions. These active listening strategies will help Moritz actively engage in the conversation, show his attentiveness, and contribute to effective communication.

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To create a nested formula using the AVERAGE and ROUND functions to find the average number of a range and round the answer to 0 digits, you can follow these steps:

1. Start by typing the following formula in the desired cell:

  =ROUND(AVERAGE(range),0)

2. Replace "range" with the actual range of numbers for which you want to calculate the average. For example, if you want to find the average of numbers in cells A1 to A10, the formula would be:

  =ROUND(AVERAGE(A1:A10),0)

3. The AVERAGE function calculates the average of the numbers in the specified range.

4. The ROUND function is nested within the AVERAGE function and rounds the result to the specified number of digits. In this case, we use 0 as the second argument of the ROUND function to round to 0 digits, effectively rounding to the nearest whole number.

5. Press Enter to calculate the result. The nested formula will return the average of the range, rounded to 0 digits.

Note: You can adjust the range and the number of digits to round according to your specific needs.

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here is your answer. Please like it rate it and mark me as brainly.

Answer: experimental

Step-by-step explanation:

In a research design such as the one described in the scenario above, participants are separated into two distinct groups. The hypothesis (if swimming with paddles is faster than without paddles) being tested is applied on one of the two groups while the other group remains as before. Hence, the group which receives the treatment which is to be tested (those who swim with paddles) are called the experimental group. The other group of participants who continue to swim without paddles are the control group.

Hence, the other group of three member who were asked to swim with paddles for two weeks are the experimental group because they are the ones who received the actual treatment in the experiment.

Answer:

161453.307585

Step-by-step explanation:

139,594(1 + 0.021)^7

139,594(1.021)^7

139,594 x 1.1565920282

161453.307585

We solved a problem after several missteps. One thing we are not certain of. We should:

When we are unsure about a part of a calculation, it is a good idea to check for hints that address that part of the calculation. This can help us confirm or correct your understanding of the problem. In addition, speaking with an instructor or classmate can provide valuable insight and help clarify any confusion.

Finally, if we still feel unsure, submitting our answer and then adjusting it based on feedback can help us improve our understanding and knowledge of the material. All of these options can help ensure that we have the most accurate and complete understanding of the problem.

This question should be provided with answer choices, which are:

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Given:

The area model.

The area of the shape is 82 square units.

To find:

The correct equation for the given situation.

Solution:

We know that, area of a rectangle is

\(Area=Length \times Width\)

The figure is divided into 3 rectangles. Using this formula, the area of each rectangle is

\(A_1=(x)\times (3x)=3x^2\)

\(A_2=(x)\times (4)=4x\)

\(A_3=(3)\times (3x)=9x\)

Now, the total area is equation to 82 square units.

\(A_1+A_2+A_3=82\)

\(3x^2+4x+9x=82\)

\(3x^2+13x=82\)

Since the required equation is \(3x^2+13x=82\), therefore, the correct option is C.

Answer:

Solving for x;

2x + 85 + 5x + 29 = 930

combine like terms:

7x + 114 = 930

-114          -114

7x = 816

/7      /7

x = 116.57, now we replace the x with it's actual value:

∠ZT = 2(116.57) + 85 = 318.14°

∠ZV = 5(116.57) + 29 = 611.85°, lets double check if they both equal 930;

318.14 + 611.85 = 929.99, which is close to 930 so we are correct.

Answer:

this graph is a non linear function

the y intercept of the graph is the function value y=0

the smallest positive x intercept of the graph is located at x= pi/2

the greatest value of y is y=2

for x between x=-pi and, the function value y>0

Step-by-step explanation:

its on khan i hope this is right for your test

The complete sentences are as follows:

This is the graph of a non  linear function.

This is a nonlinear function's graph.

The function value y=1 is the graph's y-intercept.

The graph's smallest positive x-intercept is found at x=π.

When x=0, the value of y that is greatest is y=1.

The function value for x between x=pi and x=2π is y0.

What are the various intercept forms?

The location where the graph and axes cross is known as an intercept. Typically, we operate in two dimensions, which means that the x-axis (abscissa) and y-axis exist (ordinate). There are two sorts of intercepts: x-intercept and y-intercept, which correspond to axes. The point where the graph intersects the x-axis is known as the x-intercept if the graph crosses the x-axis. The point at which a graph contacts the y-axis is referred to as the y-intercept.

Solution:

The graph does not represent a straight line which means it is a non linear function.

To find y-intercept make the value of x as 0 and solve for y.Hence we got the value for y-intercept as 1.

The x intercept is the point where the line on the graph crosses the x-axis.so we get the smallest x intercept as π.

Next to the greatest y intercept form is 1.

Finally through the graph we can make out that the relation between x= π and x=2π is a function of y0.

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Answer and Step-by-step explanation:

Given the function y = 5x where x is the total number of cars parked in her lot and y is the total money earned. Since x is the independent variable as the money earned, y, depends on the amount of cars parked, we can say that the domain (the actual values the independent variable can assume) of this function is:

x = {0, 1, 2, 3, . . .}

This is because x, the number of cars, can never be a negative number..

Also, the range, the set of all the values of the dependent variable y, is: {all the numbers divisible by 5, including 0}

Answer:

23 cats

Step-by-step explanation:

So the ratio is basically saying that for every 4 dogs at the store there is one more cat, or 5 cats. 16 dogs there would be 20 cats. 18 dogs there would be approximately 23 cats if you would round up.

The number of students in the class is 9200.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

Given that,

The percent of students pursuing economics is 29%.

And, the number of students pursuing economics is 2688.

Suppose the total number of students are x.

Then, the following equation can be written for the given case,

29% of x = 2668

=> 29/100 × x = 2668

=> x = 2668 × 100/29

       = 9200

Hence, the total number of students in the freshman class is 9200.

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Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

The question is basically saying that f is equal to \(\frac{k}{\sqrt{g} }\)

when f=8, g=81. Therefore 8=\(\frac{k}{\sqrt{81} } =\frac{k}{9}\).

Then the next step is to simplify the equation, so k = 72.

The next step is to plug k=72 back into the original equation.

f=\(\frac{72}{\sqrt{g} }\)

Then you do the last step which is to plug f=4 into the equation which will result in 4=72/sqrt(g) => 4*sqrt (g) =72. Therefore sqrt (g) = 72/4 = 18. Then you square both sides and you get g=324.

Answer:

x and y can be any two numbers greater than zero such that y is also greater than x

D.no more than 45

C.50 miles per hour

Step-by-step explanation:

Let the two numbers be such that x< y because we have been given y/x>1 and x/y< 1 .

Suppose we take y= 9 and x= 3 then

9/3 > 1

3>1

Also

3/9 < 1

1/3 < 1

x and y can be any two numbers greater than zero such that y is also greater than x

2. Total weight that can be carried is 3000 pounds.

The big machine is 300 pounds. The weight that the truck can carry beside the big machine is 3000-300= 2700 pounds.

The smaller machines weigh 60 pounds

The number of smaller machines that can be carried is 2700 ÷ 60= 45 other than the big machine.

3. Total distance = Speed * time

                           = 48 * (40/60) = 32 miles

New distance = 32+ 8= 40 miles

New time = 48 minutes

Speed = distance / time = 40/ 48/60=  50 miles per hour

Answer:

-1141

Step-by-step explanation

When subtraction two negatives it becomes it bigger negative, so basically your adding to two numbers but its actually making a bigger negative.

Answer:

Step-by-step explanation:

-330 - 811 = - 1,141

Answer:

x = 6.4

Step-by-step explanation:

ignore the rectangle part and cut it off. You'd get a triangle with legs of 5 and 4. do the hypotenuse thing. a squared + b squared = c squared. 5 squared + 4 squared = x squared. when you solve, you get rad 14, which simplifies to 6.4

Answer:

x=5

Step-by-step explanation:

see image

i used the pythagorean theorem, although if you know about 345 triangles, thats also a suitable explanation.

The function g(x) that represents the three transformations is g(x) = - f(x - 1) - 6.

Before answering, we shall remind the reader that this statement offers an open problem, that is, a problem that offers the posibility of more than a solution. Herein we show only one of all possible solutions to obtain a given point and the function behind the point:

First transformation - Translate the point and the function a unit in + x direction:

(x, y) = (1, 1) + (1, 0)

(x, y) = (2, 1)

f'(x) = f(x - 1)

Second transformation - Translate the point and the function six units in + y direction:

(x, y) = (2, 1) + (0, 6)

(x, y) = (2, 7)

f''(x) = f'(x) + 6

f''(x) = f(x - 1) + 6

Third transformation - Reflect the point and the function about the x-axis:

(x, y) = (2, - 7)

g(x) = - f''(x)

g(x) = - f(x - 1) - 6

The function g(x) that represents the three transformations is g(x) = - f(x - 1) - 6.

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Total number of outcomes for randomly choosing a vehicle = 25

What is outcome of an event?

Suppose an event is happening. The results which are possible in that event is known as outcome of that event.

Number of sportscar a car dealership has = 12

Number of sports utility vehicle a car dealership has = 6

Number of luxury car a car dealership has = 7

Total number of outcomes for randomly choosing a vehicle

                                                                                  = 12 + 6 + 7 =              

                                                                                  =  25

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Answer:

The correct answer is (x)² + (y)² = r².

Step-by-step explanation:

The standard equation for a circle is (x - h)² + (y - k)² = r². Since our circle is centered at the origin, or (0, 0), our values for h and k are simply 0 and 0, so there is no need to list these values within the equation.

Now, it is time to determine r, or the radius of the circle. The circle passes through the point (-3, 4), so (-3)² + (4)² = 25², so r = 25.

Therefore, your equation is x² + y² = 25.

Answer:

she is going to make $408.90 in 18.2518.25 hours

Answer:

\(= \frac{2m^2n^8}{3}\)

Step-by-step explanation:

Given expression is

\((\frac{4m^{-2}n^8}{9m^{-6}n^{-8}} )^{\frac{1}{2}\)

The correct simplified form is shown below:-

From the above equation, we will simplify

we will shift \(m^{-6}\) to the numerator and we will use the negative exponent rule, that is

\(= (\frac{4m^{-2}n^8m^6}{9n^{-8}} )^{\frac{1}{2}\)

now we will shift the \(n^{-8}\) to the numerator and we will use the negative exponent rule, that is

\(= (\frac{4m^{-2}n^8m^6n^8}{9} )^{\frac{1}{2}\)

here we will solve the above equation which is shown below

\(= (\frac{4m^4n^{16}}{9}) ^\frac{1}{2}\)

So,

\(= (\frac{(2)^2(m^2)^2(n^8)^2}{(3)^2} ^\frac{1}{2}\)

Which gives result

\(= \frac{2m^2n^8}{3}\)

Answer: 2.95x+39.95(12)

Step-by-step explanation:

Hi, to answer this question we have t write an expression with the information given:

The yearly cost for x movie rentals is equal to : the product of the cost of each movie (2.95) and the number of movies (x) ;plus the product of the monthly fee (39.95) and the number of months in a year (12)

Mathematically speaking:

2.95x+39.95(12)

Answer:

D-295x+39.95(12)​

Step-by-step explanation:

EDG2021