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emmasim [6.3K]
4 years ago
11

The lenght of a living room is 12 feet and its width is 10 1/2 feet. The lenght of the room is being expanded by x feet. Choose

an expression to represent the new area of the living room in square feet and the expanded form of the expression. Select all that apply
Mathematics
1 answer:
Aleksandr-060686 [28]4 years ago
8 0

Answer:

Step-by-step explanation:

The length of a living room is 12 feet and its width is 10 1/2 feet. The length of the room is being expanded by x feet. Assuming the increase in length is only on one side of the room, it means that the new length would be (12 + x) feet

The formula for determining the area of a rectangle is expressed as

Area = length × width

Therefore, an expression to represent the new area of the living room in square feet would be

10.5(12 + x)

New area = (126 + 10.5x) square feet

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Which equation is the direct variation equation if f(x) varies directly with x and f(x)=-2 when x=6
Agata [3.3K]

Answer:

f(x)=-x/3

Step-by-step explanation

Given f is a direct variation equation (Direct variation is when one variable is equal to a constant times another variable, with no additions or subtractions alongside).

Now by the above condition let the constant be "c".Then

f(x)=cx

also given that f(x)=-2 whenx=6

on substituting the above values,

-2=c(6)

c=-2/6

c=-1/3

Therefore our equation is f(x)=-x/3

7 0
3 years ago
Researchers want to survey the mass of American alligators in a certain region. They want to maximize the efficiency of this eff
nikdorinn [45]

Answer:

Option B is correct.

An appropriate statistical test that can be used to evaluate the usefulness of this method is; Linear regression with t-test for significance of slope.

Step-by-step explanation:

For this research, they want to measure the lengths of alligators and use the already obtained data relating the lengths of captured and released alligators to their masses, to obtain the masses of alligators whose lengths have been measured.

So, in this research survey, the masses of the alligators is the dependent variable which depends on the lengths.

Basically, the researchers measure the length of an alligator and use the data to work out its mass.

So, an appropriate method to relate the two variables is to use regression analysis on the already obtained data, to obtain the linear relationship between mass of the alligators and their lengths. So that, just by putting on the measured lengths of the alligators surveyed into this expression, their corresponding masses would be immediately obtained.

But the correctness of this expression obtained will be checked by using t-test for the significance of the slope obtained in the linear regression.

So, the appropriate statistical test that can be used to evaluate the usefulness of this method is: Linear regression with t-test for significance of slope.

Hope this Helps!!!

4 0
4 years ago
A researcher investigates whether there is a relationship between hours of sleep and memory for photographs. The researcher assi
ehidna [41]

Answer:

It is the experimental condition.

Step-by-step explanation:

In the experiment given in the question, the amount of sleep is the independent variable and the number of photographs they remember is the dependent variable because it depends on the amount of sleep.

The 8 hours of sleep, which creates the difference in the experiment between the control group and the test group, is the experimental condition.

The experimental condition is the variable that is changed to let the researcher observe the effects on the dependent variable.

I hope this answer helps.

8 0
4 years ago
Read 2 more answers
Donuts cost $9.20 per pound how much would 2 and one fourth pounds cost!
cestrela7 [59]

Answer:

$20.70

Step-by-step explanation:

$9.20 x 2 1/4 (lbs) = $20.70

6 0
3 years ago
What is 6^2 in expanded form. A.12 b.2x2x2x2x2x2 c.36 d.6x6
koban [17]
Anything to the power of 2 is that number times itself. So 5^2 would be 5*5, that means 6^2 is 6*6
4 0
3 years ago
Read 2 more answers
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