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Goshia [24]
3 years ago
11

The product of a rational and irrational number is rational

Mathematics
2 answers:
Yakvenalex [24]3 years ago
5 0

Answer:

False

Step-by-step explanation:

Ight so any irrational number times a rational number is irrational. But keep in mind that If its 0 times an irrational number, its going to be 0, which is a rational number. So irrational x rational = irrational. Irrational x 0=rational 0.

Hope this helped

nikklg [1K]3 years ago
3 0

Answer:

False

Step-by-step explanation:

I think this is a true or false question.

The statement is false.

Here is an example of it being false:

Choose the irrational number to be \sqrt{2} and the rational to be 1.

The product of these numbers is \sqrt{2} which is irrational, not rational.

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Consider a series circuit consisting of a resistor of R ohms, an inductor of L henries, and variable voltage source of V(t) volt
ser-zykov [4K]

Answer:

I(t)=\frac{1}{3}(1-e^{-30t})

Step-by-step explanation:

We are given that

\frac{dI}{dt}+\frac{R}{L}I=\frac{V(t)}{L}

R=150 ohm

L=5 H

V(t)=10 V

P=\frac{R}{L}=\frac{150}{5}=30

I.F=e^{\int Pdt}=e^{\int 30 dt}=e^{30 t}

I(t)\times I.F=\int e^{30 t}\times 10 dt+C

I(t)\times e^{30 t}=\frac{10}{30}e^{30 t}+C

I(t)=\frac{1}{3}+Ce^{-30 t}

I(0)=0

Substitute t=0

0=\frac{1}{3}+C

C=-\frac{1}{3}

Substitute the values

I(t)=\frac{1}{3}-\frac{1}{3}e^{-30 t}

I(t)=\frac{1}{3}(1-e^{-30t})

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3 years ago
Which group of numbers is listed from greatest to least
soldier1979 [14.2K]
D because you have to use absolute value to solve.
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3 years ago
What is the answer to this picture? Thanks to anyone who helps!
Nastasia [14]
A) 3000 * 0.5 = 1500 minutes, or 25 hours.
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10.79/1200=.009
.009*1200=10.79 this is a double check to make sure our price per square foot is correct.

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7 0
2 years ago
Can someone please help me solve this
AURORKA [14]

Answer:

1. 1.25

2. 0.8

Step-by-step explanation:

1. 2 : 2.5 = 1.25 Ratio from P To Q - 1 : 1.25

2. 2.5 : 2 = 0.8 Ratio from Q to P - 1 : 0.8

1. All you have to do is find the corresponding sides(meaning similar) and the compare them from one to another.

Example:

I know 5 and 4 are corresponding sides because they are similar. The ratio is Q to P we can find by writing them down. It can be written like this.

5:4 is so when we multiply this ratio from any side of Q we will get the correpoding side from P.

5:4 ratio = 1 : 0.8 - So the ratio is 0.8

There this is another ratio that we can compare to.

Now let’s say we need to find when the one of the P side is 4 and what would be the corresponding side.

4 x 1.25(ratio from P to Q) = 5

We can also find when the P side is 3 what would be Q’s corresponding side. Which is the ratio from P to Q or 1.25.

So just multiply 3 by 1.25.

3 x 1.25 = 3.75

3.75 x 0.8 = 3

4 0
2 years ago
Read 2 more answers
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