a controlled experiment has one or more test variables (also called independent, or manipulated, variables) and one or more outcomes (also called dependent, or responding, variables). identify the test and responding variables in part 1 of the investigation.

dx/dt is equal to -10/3 when x=1 and y=-3. This can be answered by the concept of Differentiation.

To find dx/dt, we need to use implicit differentiation. Taking the derivative of both sides of y² + xy - 3x = 1 with respect to t, we get:

2y(dy/dt) + y(dx/dt) + x(dy/dt) - 3(dx/dt) = 0

Now we can substitute the values given in the problem: y = -3, dy/dt = 4, x = 1. Plugging these in, we get:

2(-3)(4) + (-3)(dx/dt) + 1(4) - 3(dx/dt) = 0

Simplifying, we get:

-24 - 3(dx/dt) + 4 - 3(dx/dt) = 0

-6(dx/dt) = 20

dx/dt = -20/6 = -10/3

Therefore, dx/dt is equal to -10/3 when x=1 and y=-3.

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Answer:

(c + 7) ( c - 9)

Step-by-step explanation:

Answer:

(c + 7)(c - 9)

Step-by-step explanation:

Answer:

Continuous

A continuous random variable has infinitely many values, and those values can be associated with measurements on a continuous scale in such a way that there are no gaps or interruptions.

answer :

9(2p+1)

steps

(10p+10)+(8p−1)

18p+9

9(2p+1)

chatgpt

Yes, when graphing two variables and observing an upward slope as you move from left to right, it indicates a positive relationship between the variables.

As one variable increases, the other variable also tends to increase. This positive correlation can be visually represented by a line that slopes upward in a graph. It implies that there is a direct and proportional relationship between the variables being studied.

But downward-sloping line indicate a negative relationship, where as one variable increases, the other variable tends to decrease. The slope of the line provides insights into the magnitude and direction of the relationship between the variables.

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Answer:

c

Step-by-step explanation:

cause R+S=180 which is supplementary then we subtract from both side R and it will be S=180-28=152

Answer:

C. 152º

Step-by-step explanation:

Supplementary angles add up to 180º

so that means...

Angle R + Angle S = 180

28 + x = 180

When we do 180 - 28 = 152º

Therefore the final answer is C, 152º

The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

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Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

A threat to internal validity occurs only if a potential design confound varies systematically with the independent variable.

In experimental research, an independent variable is a variable that the researcher manipulates or systematically varies in order to study its effect on the dependent variable. It is called "independent" because it is not influenced by any other variables in the experiment, and its effects on the dependent variable can be observed and measured independently of any other factors.

Only when a possible design confound fluctuates systematically with the independent variable does internal validity come under threat. In other words, it might be challenging to distinguish between the effects seen on the dependent variable and the independent variable if there is a component that fluctuates consistently or predictably with changes in the independent variable. Internal validity is less likely to be threatened by random or unplanned variation.

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A threat to internal validity occurs only if a potential design confound varies systematically with the independent variable. This means that if the confound varies randomly or haphazardly, it is less likely to affect the results of the study.

This means that the confound is consistently related to the independent variable, making it difficult to determine if the observed effects are due to the independent variable or the confound. If the confound varies spontaneously or haphazardly, it is less likely to pose a threat to internal validity, as it would not be consistently associated with the independent variable.

However, if the confound is related to the independent variable in a consistent and predictable way, it can introduce bias and undermine the internal validity of the study. It is important for researchers to carefully control for potential confounds and ensure that any observed effects are truly due to the independent variable and not some other factor.

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Answer:

Math.way Algebra Calculator

Math.papa Algebra Calculator

Step-by-step explanation:

Im more of a "do it on a piece of paper" guy, but according to some comments, these are good sources.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

(a) The firm's output supply function is given by q = (p + 199) / 2.

(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.

(c) Each firm sells 70 computers in the long run.

(39 - 0.009q) = (2q - 2) / q

Simplifying the equation, we find:

q = (p + 199) / 2

This represents the firm's output supply function.

p = 39 - 0.009((p + 199) / 2)

Simplifying and solving for p, we get:

p ≈ $32.56

Substituting this price back into the output supply function, we find:

q = (32.56 + 199) / 2 ≈ 115.78

Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:

Number of firms = q / 70 ≈ 10

70 * 10 = 700

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Answer:

the first option

Step-by-step explanation:

because x^3 is exponential while ab^2 is linear

Answer:

0.1 centimeter

Step-by-step explanation:

Answer:

Step-by-step explanation:

4/5 x - 2 > 3/10 * 2x

4/5 x - 2 > 3/5 x

4/5 x - 2 - 3/5x> 0

1/5x > 2

x > 10

The predicted value of y when x = 3, based on the least-squares regression line equation y = 50 - 15x, is y = 50 - 15(3) = 5.

The given least-squares regression line equation y = 50 - 15x represents a linear relationship between the variables x and y. In this equation, the coefficient of x (-15) represents the slope of the line, and the constant term (50) represents the y-intercept.

To find the predicted value of y when x = 3, we substitute x = 3 into the equation and solve for y. Plugging in x = 3, we have y = 50 - 15(3). Simplifying this expression, we get y = 50 - 45 = 5.

Therefore, when x = 3, the predicted value of y based on the least-squares regression line is 5. This means that according to the regression line, when x is 3, the expected or estimated value of y is 5.

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Answer:

32

Step-by-step explanation:

Hope it helps!!

Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

To find the distance Alice is from her starting point after walking along the perimeter of the park, we can use the concept of congruent sides in a regular hexagon.

The perimeter of a regular hexagon is equal to the sum of its six congruent sides. Given that each side of the hexagon is 22 km long, the total perimeter of the hexagon is 6 * 22 km = 132 km.

Since Alice walks a distance of 55 km along the perimeter of the park, we can determine the number of complete laps she makes around the hexagon by dividing the distance she walked by the perimeter of the hexagon: 55 km / 132 km = 0.4167 laps.

As Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

To find the remaining distance from Alice's current position to the starting point, we calculate the fractional part of the number of laps and multiply it by the perimeter of the hexagon: 0.4167 * 132 km = 55 km.

A regular hexagon is a polygon with six congruent sides. In this problem, the regular hexagon represents the shape of the park, and each side of the hexagon has a length of 22 km. The perimeter of the hexagon is found by multiplying the length of one side by the number of sides, which is 6. Therefore, the perimeter of the hexagon is 6 * 22 km = 132 km.

When Alice walks along the perimeter of the park for a distance of 55 km, we need to determine how many complete laps she makes around the hexagon. By dividing the distance she walked by the perimeter of the hexagon, we find that she completes approximately 0.4167 laps.

Since Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

In this case, multiplying 0.4167 by 132 km gives us a result of approximately 55 km. Therefore, Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

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Answer:

x=10 degrees

Step-by-step explanation:

Becuase we know this is a 90 degree angle, we can just say that angle BAF+FAE=90 degrees.

Simplifying, we get

9x=90

or x=10

Answer:

18 degrees hope this helps

Step-by-step explanation:

please give me brainliest i need 4 more brainliests so plz be a good friend and help me plz.

Answer:

They are quadrilaterals that have opposite sides equal in length.

Answer:

D. They are quadrilaterals that have opposite sides equal in length.

Step-by-step explanation:

Rectangles and parallelograms both have 2 sets of parallel sides.  The parallel sides are of equal length.

Rectangles are special parallelograms that have 2 sets of corners that have 90 degree angles

Squares are special rectangles that have all 4 sides of equal lengths.

The probability of rolling an odd number, then a 3, and then an even number is 1/24.

To find the probability of rolling an odd number, then a 3, and then an even number, we need to break it down into three separate events and multiply their probabilities together.
Event 1: Rolling an odd number on the first roll
There are three odd numbers on the number cube (1, 3, and 5) and six total possible outcomes. Therefore, the probability of rolling an odd number on the first roll is 3/6 or 1/2.
Event 2: Rolling an even number on the third roll
There are three even numbers on the number cube (2, 4, and 6) and six total possible outcomes. Therefore, the probability of rolling an even number on the third roll is 3/6 or 1/2.
To find the probability of all three events occurring in order, we need to multiply their individual probabilities together:
(1/2) * (1/6) * (1/2) = 1/24

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Answer:

432 cm²

Step-by-step explanation:

Diagonal of Square = √2a

=> 12√6 = √2a

=> a = 12√6 / √2

=> a = 12√3 ( because √6 can be written as √2 × √3 , so √2 and √2 cancel out)

Now the Area = a²

= (12√3)²

= 144 × 3

= 432 cm²

Answer:

Below in bold.

Step-by-step explanation:

The diagonal forms 2 right triangles in the square,

Applying the Pythagoras Theorem to a triangle:

(12√6)^2 = x^2 + x^2     where x is the side of the square.

144*6 = 2x^2

x^2 (which is the area of the square)

= 144*6 / 2

= 144*3

= 432 cm^2.

Answer:

Step-by-step explanation:

Answer:

It's definitely D.

The probability of obtaining the same number of heads is 3/8 or 0.375 when each of two persons tosses three fair coins.

The probability that two persons will obtain the same number of heads depends on the number of possible combinations of heads and tails that can be obtained by each person.

Since each coin flip results in either a heads or tails, there are 2 possible outcomes for each flip. Therefore, for three coin flips,

there are 2^3 or 8 possible combinations of heads and tails.

Out of these 8 combinations, there are 3 in which both persons have the same number of heads (i.e., 0 heads, 1 head, or 3 heads).

So, the probability of obtaining the same number of heads is 3/8 or 0.375.

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In the video about the construction of the insect phylogeny, the researchers faced the problem that there was not enough computational power in all of the world to construct every possible tree.

The use of computing algorithms, tools, and programmes to phylogenetic analysis is known as computational phylogenetics. The purpose is to create a phylogenetic tree that represents a hypothesis about a set of genes, species, or other taxa's evolutionary ancestry.

There was not enough computational power to construct every possible tree in all of the world. So the probable solution for this problem will be:

Use math to avoid constructing improbable trees

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Answer: 35

Step-by-step explanation:

Answer:

Need more points lang sorry

Answer:

Segment U T is congruent to segment X V

Segment S T is congruent to segment W V

Angle V is congruent to angle T