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bixtya [17]
3 years ago
10

If a^ 1/n = n What is an equivalent form of 7? Show steps plz!

Mathematics
1 answer:
Scrat [10]3 years ago
6 0

Answer:

7⁷

Step-by-step explanation:

a^(1/7) = 7

a = 7⁷

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Simplify the expression: 14x-5(6x-7)+18​
USPshnik [31]

Answer:

−16x+53

Step-by-step explanation:

Distribute

14−5(6−7)+18  

↓

14−30+35+18

Add

14−30+35+18

↓

14−30+53

Combine like terms

14−30+53

↓

−16+53

8 0
3 years ago
Harper has $14 in her piggy bank. Her mom pays her $12 for chores. How much does Harper now have in the piggy bank?
vovikov84 [41]

Answer:

26

Step-by-step explanation:

14+12=26

1+1=2

4+2=6

7 0
3 years ago
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Find the product of the sum of 57 and 16 and the difference of 61 and 31​
Sergio039 [100]

Step-by-step explanation:

???

what is the problem ? you don't know how to add, subtract or multiply yet ?

sum of 57 and 16 : 57 + 16 = 73

difference of 61 and 31 : 61 - 31 = 30

the product of the sum and the difference :

73 × 30 = 2190

3 0
2 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
Use the circle. what is the radian measure for the angle to the nearest hundredth? use 3.14 for pi
slamgirl [31]

Answer: 2.36 radians

Step-by-step explanation:

7 0
3 years ago
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