What is the math definition for 'counterexample'? When is counterexample used?

Answers

Answer 1

Answer: A counterexample is something that proves a statement, or equation, wrong. A counterexample is used in math when someone creates a theorem, writes an equation, or creates a new rule and someone proves it to be false.

For Example:
Let's say that I said an even number plus an odd number always equals an even number. A counterexample of that would be 4 + 5 = 9, because 9 is odd, therefore proving the statement wrong.

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Someone help me asap

what is the difference between dependent variable independent variable vs response variable explanatory variable?

Answers

Answer:

Step-by-step explanation:

we are to distinguish between

dependent variable independent variable

response variable explanatory variable

An independent variable is one which is not affected by any other variable for example, the amount we spend, the time we study ,etc.

An explanatory variable is a type of independent variable but not fully independent but depends on some factors.

Though explanatory and independent variables are practically used interchangeably the main difference is explanatory variable is not independent but explains the variations in the response varaible.

A triangular window has base eight feet and height six feet. What is its area?

Answers

Answer:

24 ft^2

Step-by-step explanation:

Area of a triangle

A = 1/2 b*h

We know the base is 8 ft and the height is 6 ft

A = 1/2 (8) (6)

= 1/2 (48)

= 24 ft^2

-4x-8 and -4(x-2) *
A: Yes, they are equivalent
B: No, they're not equivalent

Answers

Answer:

Step-by-step explanation:

The problem on the right works out to -4x+8 and the right is -4x-8

so one is + and one is -

Firewood is often sold by the cord. A cord of wood is a bundle measuring 4 feet by 4 feet by 8 feet. What's the volume of a cord of wood in cubic feet?

Answers

4 x 4 x 8 = 128 cubic feet

4x4x8=volume
So it 16x8
16x8=128

If P(x,y) is the point on the unit circle defined by real number theta , then csc theta= _____.x/y
y/x
1/x
1/y

Answers

csc thta =r/ y=1 /sin theta
see attachment below

Answer:1/y

Step-by-step explanation:

Lily is making granola. She uses almonds, walnuts, and pecans in the ratio 4 : 3 : 8. Lily uses 40 ounces of pecans. A) find the weight of the walnuts. B) find the total weight of the granola

Answers

3*5=15 =75 ounces, so 75 ounces is your answer

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