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Scilla [17]
3 years ago
13

Which table represents a linear function?

Mathematics
1 answer:
nalin [4]3 years ago
7 0
The third one is linear because it goes down by -8 each time,
Hope this helps! :)
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WILL MARK BRAINIEST FOR FIRST PERSON TO ANSWER WITH THE STEPS
kondaur [170]

Answer:

  a. 1.2 ohms

  b. 6 ohms

Step-by-step explanation:

As with any problem involving evaluation of a formula, substitute the given values for the corresponding variables and do the arithmetic.

a.

  R=\dfrac{1}{\dfrac{1}{R_1}+\dfrac{1}{R_2}}=\dfrac{1}{\dfrac{1}{2}+\dfrac{1}{3}}=\dfrac{1}{\left(\dfrac{5}{6}\right)}=\boxed{\dfrac{6}{5}=1.2}

__

b.

  R=\dfrac{1}{\dfrac{1}{R_1}+\dfrac{1}{R_2}}=\dfrac{1}{\dfrac{1}{10}+\dfrac{1}{15}}=\dfrac{1}{\left(\dfrac{5}{30}\right)}=\dfrac{30}{5}=\boxed{6}

_____

<em>Comment on these problems</em>

You will notice that the values in part (b) are 5 times those in part (a). So, it is no surprise that the answer in part (b) is 5 times the answer in part (a).

7 0
3 years ago
Martha estimated the quotient of -71.81 and -8.02 using
steposvetlana [31]

Option 2

Martha estimated the quotient. Martha error was she should have rounded -8.02 to -8.

<u>SOLUTION: </u>

Given that, Martha estimated the quotient of -71.81 and -8.02 using rounding to the nearest whole number.

And she committed an mistake. We have to find the error made by Martha while calculating quotient.

She treated -71.81 to be 72 and -8.02 to be 9. As both the number are negative there will be no problem when we get quotient.

When treated as above she got quotient as 8.

But in general, the quotient is not 8.

If we see options, we derive an conclusion.

<u>Option (1) </u>

she should have rounded 71.81 to 70, no this is not correct as 72 is nearest whole number.

<u>Option (2)</u>

she should have rounded 8.02 to 8, yes this is correct conclusion.

<u>Option (3)</u>

she should have divided 8 by 72, no this is not correct, we should divided 72 by 8.

<u>Option (4) </u>

she didn’t make an error, this is wrong as in 2nd option we caught an error.

Hence, second option is correct.

6 0
3 years ago
Read 2 more answers
Find the value of S for an infinite geometric series with r= 1/6 and a1=10
Lelu [443]
S=a1/1-r=10 x 6/5 = 12
5 0
2 years ago
HELP ASAP!!!! <br><br> What is the surface area of the rectangular prism??
il63 [147K]
The surface area of a rectangular prism is measured by multiplying length, width, and height:

a = l•w•h

4 • 5 • 15

20 • 15 = 300

So the area of this rectangular prism is 300<span>in².</span>
7 0
3 years ago
Jose is wrapping a stack of 100 coins in a paper holder. Each coin is 1/8 inch thick and has a diameter of 1 inch. How many squa
kodGreya [7K]

Answer:

Jose will need 39.25 square inches of paper to wrap the stack of coins

Explanation:

The resulting figure of a stack of 100 coins will be a right circular cylinder. We assume that Jose wraps around the cylinder (so it means not including the bases). Therefore we are solving for the lateral surface area of the cylinder: LSA = 2πrh.

To solve for height h, we multiply the thickness of the coin 100 times.

h = 100 * 1/8 in = 12.5 inches

Solving for radius r:

r = 1 inch/2 = 0.5 inches

LSA = 2(3.14)(0.5 in)(12.5 in) = 39.25 square inches 

8 0
3 years ago
Read 2 more answers
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