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konstantin123 [22]
3 years ago
13

Are the square root of 5/4 and the square root of 3/4 irrational or rational?

Mathematics
1 answer:
natka813 [3]3 years ago
5 0
Well i bevel that you r cool an dcan answer it by your self <span />
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Can someone SMART actually help me
lisov135 [29]
The answer is 196/3 pi in^3. All you have to do is multiply 7x7, then you have to multiply that by 1/3 and 4, and you get 65.333333333. Then, you have to turn it into a fraction. You have to multiply 65 by 3, then add one, and you get 196/3 pi in^3.
7 0
3 years ago
from 1970 to 1980 the consumer price index increased from 38.8 to 82.4. If a container of onion dip cost $0.48 in 1970 and the p
Vikki [24]
We need to find the percent increase from 38.8 to 82.4, so

x * 38.8 = 82.4
x = 82.4/38.8
x = 2.1237

Multiply by 100 to convert to percentage (move decimal 2 places to the right)

2.1237 = 212.37%

Now we can apply this percentage increase to the onion dip...

0.48 x 212.37% =
0.48 x 2.1237 = 1.019 
 
Round to the nearest cent $1.02 is the amount of increase.  Now add it to the original price to get today's price...

$1.02 + .48 = $1.50
 
5 0
3 years ago
Read 2 more answers
Simplify (x/3-2)(x/2-3)​
Rudik [331]

x²/6 - 2x + 6

<em> </em>I am not too sure but I hope that this helps

7 0
3 years ago
The rate of transmission in a telegraph cable is observed to be proportional to x2ln(1/x) where x is the ratio of the radius of
sergij07 [2.7K]

Answer:

The value of x that gives the maximum transmission is 1/√e ≅0.607

Step-by-step explanation:

Lets call f the rate function f. Note that f(x) = k * x^2ln(1/x), where k is a positive constant (this is because f is proportional to the other expression). In order to compute the maximum of f in (0,1), we derivate f, using the product rule.

f'(x) = k*((x^2)'*ln(1/x) + x^2*(ln(1/x)')) = k*(2x\,ln(1/x)+x^2*(\frac{1}{1/x}*(-\frac{1}{x^2})))\\= k * (2x \, ln(1/x)-x)

We need to equalize f' to 0

  • k*(2x ln(1/x) - x) = 0 -------- We send k dividing to the other side
  • 2x ln(1/x) - x = 0 -------- Now we take the x and move it to the other side
  • 2x ln(1/x) = x -- Now, we send 2x dividing (note that x>0, so we can divide)
  • ln(1/x) = x/2x = 1/2 -------  we send the natural logarithm as exp
  • 1/x = e^(1/2)
  • x = 1/e^(1/2) = 1/√e ≅ 0.607

Thus, the value of x that gives the maximum transmission is 1/√e.

7 0
4 years ago
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 152,149,146
Serhud [2]

Answer:

the 30th term is 239

Step-by-step explanation:

The computation of the 30th term is as follows:

As we know that

a_n = a_1 + (n-1)d

where

a_1 is the first number is the sequence

n = the term

And, d = common difference

Now based on this, the 30th term is

= 152 + (30 - 1) × 3

= 152 + 29 × 3

= 152 + 87

= 239

Hence, the 30th term is 239

7 0
3 years ago
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