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jeka57 [31]
2 years ago
8

Use the terms 4, 12a 6 2a and 24 to make equivalent expressions use each term only once use substitution to prove that the expre

ssions are equivalent
Mathematics
1 answer:
Vanyuwa [196]2 years ago
4 0

Answer:

12a + 24 = 6(2a + 4)

Step-by-step explanation:

Given the numbers :

4, 12a 6 2a and 24 ; create an equivalent expression :

12a, 2a, 4, 6, 24

We could separate tbe constant terms and those with variables :

12a, 2a ; 6, 4, 24

We could put the larger digit to one side

12a + 24 = 6(2a + 4)

This way the Right hand side is equal to the left hand side.

Check:

12a + 24 = 6(2a + 4)

12a + 24 = 12a + 24

Hence, the proof

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Researchers wanted to determine if there was an association between the level of satisfaction of an individual and their risk of
castortr0y [4]

Answer:

Step-by-step explanation:

Hello!

To see if there is an association between the variables:

"Level of satisfaction of an individual"

"Risk of diabetes of an individual"

The researchers studied 1621 people over 5 years.

Observations recorded:

Interviews of daily lives and hassles and hypothetical situations that were studied to assess their emotions.

Determination, if in the course of these 5 years the individuals experienced any type of diabetes.

Conclusion "Satisfied individuals are less likely to have diabetes"

a) This is a prospective cohort study.

In this type of study, a group of individuals that share the same characteristics is observed over some time, recording the events of interest.

b) Considering that the experiment concluded that "satisfaction" reduces the "risk of diabetes", we can determine that the response variable is "Risk of diabetes of an individual" and the explanatory variable is "Level of satisfaction of an individual".

Remember, the explanatory variable is the one considered to have a direct effect over the response variable.

c) "the research team also hasn't ruled out that a common factor like genetics could be causing both the emotions and the lung cancer."

There is a new variable that may affect the experiment. Be "genetic factor" the new variable and it affects directly "emotions and lung cancer", we can say that if some of those individuals are genetically predisposed to have lung cancer, this affects their emotions (satisfaction) and therefore, modifying their risk of having diabetes.

If this is so, then the genetic factor could be a lurking variable affecting directly the result of the observational experiment. Then the correct answer is:

A. The researchers may be concerned with confounding that occurs when the effects of two or more explanatory variables are not separated or when some explanatory variables were not considered in a study, but that affects the value of the response variable.

I hope it helps!

3 0
2 years ago
Graph matching 50 Points!
Sloan [31]

Step-by-step explanation: To find the graphs, we look at the problem and the graph. Let's do it step-by-step.

No. 1 is y = 1/2.

To find the corresponding graph, we look closely at the graph.

Look at the 2nd graph. Do you see a dot by 1/2? I do!

So, No. 1 matches with the 2nd graph.

No. 2 is y = 2.

Like I said, we look closely at the graph.

Look at the 4th graph. Do you see a dot by 2? I do!

So, No. 2 matches with the 4th graph.

No. 3 is y = 4.

Now, we look closely at the graph.

Look at the 3rd and the 4th graph. Do you see a dot by 4? I do!

So, No. 3 matches with the 3rd and the 4th graph.

Lastly, No. 4 is y = 1/4.

Let's look closely at the graph.

Look at the 1st graph. Do you see a dot by 1/4? I do!

So, No. 4 matches with the 2nd graph.

Therefore, our answers are:

No. 1 matches with the 2nd graph

No. 2 matches with the 4th graph.

No. 3 matches with the 4th and the 3rd graph.

No. 4 matches with the 1st and the 2nd graph.

Download pdf
5 0
2 years ago
Read 2 more answers
cathi scored 6 baskets in each of her last 3 basketball games. Each basket was worth 2 points. how many points did cathi score i
jonny [76]

Answer:

p=36

Step-by-step explanation:

3(6*2)=p  

 3(12)=p

  36=p

Sorry if its hard to understand I'm new to anwering questions on brainly

4 0
3 years ago
3. Kanyla makes and
Triss [41]

Answer:

$23

Step-by-step explanation:

1 phone case = $12

4 phone cases = 12 * 4 = $48

Table = $25

4 phone cases - Table = 48 - 25 = $23

4 0
3 years ago
Read 2 more answers
Louise bought 114 pounds of roast beef at $2.00 per pound and ​ 212 ​pounds of turkey at $1.50 per pound. What was her total cos
BlackZzzverrR [31]
To find the total cost of Roast Beef, multiply 114 lbs by $2 equaling $228. Next to find the total cost of the turkey, multiply 212 lbs by $1.5 equaling $318. The last step is to multiply the two sums giving you a total of $546
6 0
3 years ago
Read 2 more answers
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