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jenyasd209 [6]
2 years ago
8

Which ordered pair is a solution of the equation? y=3x+5

Mathematics
1 answer:
madam [21]2 years ago
6 0
I hope you’re having a good day so far
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When an electric current passes through two resistors with resistance r1 and r2, connected in parallel, the combined resistance,
kondaur [170]

Answer:

a)

The combined resistance of a circuit consisting of two resistors in parallel is given by:

\frac{1}{R}=\frac{1}{r_1}+\frac{1}{r_2}

where

R is the combined resistance

r_1, r_2 are the two resistors

We can re-write the expression as follows:

\frac{1}{R}=\frac{r_1+r_2}{r_1r_2}

Or

R=\frac{r_1 r_2}{r_1+r_2}

In order to see if the function is increasing in r1, we calculate the derivative with respect to r1: if the derivative if > 0, then the function is increasing.

The derivative of R with respect to r1 is:

\frac{dR}{dr_1}=\frac{r_2(r_1+r_2)-1(r_1r_2)}{(r_1+r_2)^2}=\frac{r_2^2}{(r_1+r_2)^2}

We notice that the derivative is a fraction of two squared terms: therefore, both factors are positive, so the derivative is always positive, and this means that R is an increasing function of r1.

b)

To solve this part, we use again the expression for R written in part a:

R=\frac{r_1 r_2}{r_1+r_2}

We start by noticing that there is a limit on the allowed values for r1: in fact, r1 must be strictly positive,

r_1>0

So the interval of allowed values for r1 is

0

From part a), we also said that the function is increasing versus r1 over the whole domain. This means that if we consider a certain interval

a ≤ r1 ≤ b

The maximum of the function (R) will occur at the maximum value of r1 in this interval: so, at

r_1=b

6 0
3 years ago
4. Compare: 63% and 0.8 *
vovangra [49]

Answer:

.8>63%

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
REwaRDiNG BRAINLY TO CORRECT
vfiekz [6]

Answer:

54 millimeters

Step-by-step explanation:

The median length would be in the middle of the values in order, so you could order the numbers 50,50,52,53,54,55,55,55,57. You would then find the middle value which would be the 5th value in a list of 9. In this case, it would be 54 millimeters.

6 0
2 years ago
Read 2 more answers
Does 2 1/4-6/7=1 3/4
dimulka [17.4K]

Answer: No, it would be 2/5.


Step-by-step explanation: 2 1/4 - 6/7 is equal to about 1.4 when rounded to the nearest tenth. 1.4 as a fraction would be 4/10. 4/10 is simplified to 2/5 by dividing each number by 2.


7 0
3 years ago
3) -5
xxMikexx [17]

Answer:

Constant monomial

Step-by-step explanation:

Monomial means that there is only one term, so constant trinomial cannot be correct.

Quintic monomials have a degree of 5 and quadratic monomials have a degree of 4, but this has a degree of zero, so this must be a constant monomial.

I hope this helps you. Have a nice day.

8 0
3 years ago
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