Identify the explanatory and response variables in the following situation:There is a strong negative correlation between latitude above the equator and average temperature on December 21.

A: Explanatory: Latitude
Response: Daylight hours
B. Explanatory: Latitude
Response: Average temperature
C. Explanatory: Daylight hours
Response: Latitude
D. Explanatory: Time of year
Response: Daylight hours

Answers

Answer 1
Answer: Negative correlation refers to an inverse relationship between two variables. When one variable increases, the other decreases.

The variables are latitude and average temperature.

The explanatory variable is latitude and the response is the average temperature. Choice B.

As the latitude increases, the average temperature decreases. This is a strong negative correlation of between the two variables.
Answer 2
Answer: The best answer would be letter B. The explanatory variable in the situation given above would be the latitude, while the response variable would be the average temperature. The explanatory variable is another term for the independent variable while the response variable is another term for dependent variable.

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Which equation matches the graph of the greatest integer function given below?

Answers

where are the graphs?

If ΔABC is similar to ΔDEF, the m∠A = 50°, and m∠E = 70°, what is m∠C?A) 60°
B) 70°
C) 90°
D) 120°

Answers

Answer: A) 60^(\circ)

Step-by-step explanation:

Given: ΔABC is similar to ΔDEF

Therefore,

∠A=∠D=50°

∠B=∠E=70°

∠C=∠F

Using Angle sum property, in triangle ABC, we get

\angle{A}+\angle{B}+\angle{C}=180^(\circ)\n\n\Rightarrow\ 50^(\circ)+70^(\circ)+\angle{C}=180^(\circ)\n\n\Rightarrow\ 120^(\circ)\angle{C}+=180^(\circ)\n\n\Rightarrow\ \angle{C}=180^(\circ)-120^(\circ)\n\n\Rightarrow\ \angle{C}=60^(\circ)

The angle sum property of a triangle says that, the sum of all the angles in a triangle is 180^(\circ).

Ok so if they are similar that means equal angles so 50+70=120 then 180-120=60 so the answer is A. #TeamAlvaxic

Frank solves the system of equations using the linear combination method. 2x+3y=−13x−5y=10

Which steps would allow him to eliminate the y terms in the system of equations?


Multiply 2x+3y=−1 by 3. Multiply 3x−5y=10 by 5. Add the resulting equations together.


Multiply 2x+3y=−1 by 3. Multiply 3x−5y=10 by 2. Add the resulting equations together.


Multiply 2x+3y=−1 by 2. Multiply 3x−5y=10 by 5. Add the resulting equations together.


Multiply 2x+3y=−1 by 5. Multiply 3x−5y=10 by 3. Add the resulting equations together.

Answers

Answer:

Multiply 2x + 3y = −1 by 5. Multiply 3x − 5y = 10 by 3. Add the resulting equations together.

Step-by-step explanation:

To eliminate the y-term. we must multiply both equations by values that make the coefficients of y opposite in sign.

2x + 3y =  -1     (1)

3x -  5y = 10     (2)

The easiest way to do this is to multiply Equation (1) by 5

and Equation (2) by 3.

5 × [2x + 3y =  -1]

3 × [3x  - 5y = 10]

Then, add the two equations.

10x + 15y =  -5

9x  - 15y = 30

19x          = 25

Conclusion: Multiply 2x + 3y = −1 by 5. Multiply 3x − 5y = 10 by 3. Add the resulting equations together.

What additional information do you need to prove that ∆LMO ≅ ∆LNO by the HL Theorem? ∠NLO ≅ ∠MLO ∠MOL ≅ ∠NOL

Answers

The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
The triangles ΔLNO and ΔLMO have the same leg Lo, therefore you need the equality of hypotenuses LM=LN.

For a better understanding of the solution given here please find the diagram in the file attached.

We know from the Hypotenuse Leg Theorem (the HL theorem) that "if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent."

Thus, as can be seen from the diagram, Side LO (also called leg LO) is common to both the triangles LMO and LNO. Therefore, the additional information that will be required to prove the congruence is that the respective hypotenuses, MO and NO are equal.

How do I factor this polynomial? q^2-121

Answers

q^2-121 =q^2-11^2=(q-11)(q+11)\n \n \na^2-b^2 =(a-b)(a+b)


The coverage included in an automobile insurance policy that covers property damage is _______ insurance

Answers

Answer: The coverage included in an automobile insurance policy that covers property damage is Liability insurance

Step-by-step explanation:

The coverage included in an automobile insurance policy that covers property damage is liability insurance.

Liability insurance is a part of general insurance is also known as "Third party insurance", which is compulsory insurance without this insurance no vehicle can be plied on road , is a system of risk financing to prevent the customer from any lawsuits imposed for any accident.


This is liability insurance, and it covers the damage made by others to your property.