1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sergio039 [100]
3 years ago
7

(vii) log32 8=m Again please

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0

Answer:

log_(32)8= 3/5

Step-by-step explanation:

Log_(32)8 = m

write is as

32^m=8

(2^5)^m = 2^3

2^5m = 2^3

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

5m = 3

divide 5 on both sides to remove it from m

m= 3/5

Hope this helps!

You might be interested in
<img src="https://tex.z-dn.net/?f=%20%7B9%7D%5E%7B2%7D%20-%202%281%20%2B%203%29" id="TexFormula1" title=" {9}^{2} - 2(1 + 3)" al
Dmitrij [34]
The answer is 73 because you solve 9^ 2 which is 81 then multiply 2 times 4 which is 8 then subtract 81 and 8 which is 73
8 0
3 years ago
Read 2 more answers
Ex 7) Imagine a mile-long bar of metal such as the rail along railroad tracks. Suppose that the rail is anchored on both ends an
Fantom [35]

9514 1404 393

Answer:

  about 44.5 feet

Step-by-step explanation:

We can write relations for the height of the rail as a function of initial length and expanded length, but the solution cannot be found algebraically. A graphical solution or iterative solution is possible.

Referring to the figure in the second attachment, we can write a relation between the angle value α and the height of the circular arc as ...

  h = c·tan(α) . . . . . . where c = half the initial rail length

Then the length of the expanded rail is ...

  s = r(2α) = (c/sin(2α)(2α) . . . . . . where s = half the expanded rail length

Rearranging this last equation, we have ...

  sin(2α)/(2α) = c/s

It is this equation that must be solved iteratively. We find the solution to be ...

  α ≈ 0.0168538794049 radians

So, the height of the circular arc is ...

  h = 2640.5·tan(0.0168538794049) ≈ 44.4984550191 . . . feet

The rail will bow upward by about 44.5 feet.

_____

<em>Additional comments</em>

Note that s and c in the diagram are half the lengths of the arc and the chord, respectively. The ratio of half-lengths is the same as the ratio of full lengths: c/s = 2640/2640.5 = 5280/5281.

We don't know the precise shape the arc will take, but we suspect is is not a circular arc. It seems likely to be a catenary, or something similar.

__

We used Newton's method iteration to refine the estimate of the angle from that shown on the graph. The iterator used is x' = x -f(x)/f'(x), where x' is the next guess based on the previous guess of x. Only a few iterations are required obtain an angle value to full calculator precision.

3 0
3 years ago
A 52 foot ladder is set against the side of a house so that it reaches up 48 feet. If Jace
Alik [6]

Answer:

34.3

Step-by-step explanation:

no

8 0
3 years ago
A shop sells apples and oranges in the ratio 5:2.
atroni [7]
Found a great explanation + 1105p = £11.05

5 0
2 years ago
4 friends share 5 bars what is each person's shere
Papessa [141]
Each person gets 1 1/4 bars. 

You divide the 5 bars by 4 people: 5/4 = 1 1/4
4 0
3 years ago
Read 2 more answers
Other questions:
  • Find the slope between each pair of points. (-7, 8) and (-7, 5)
    11·2 answers
  • Divide. (20x^2-12x+8)/(2x+8)
    13·2 answers
  • Alsion saves $29.26 each month. How many months will it take her to save enough money to buy a stereo for $339.12?
    6·1 answer
  • one day a corn stalk was 0.85m tall. A tomato plant was0.850m. A carrot top was 0.085m.Which plant was the shortest?
    10·2 answers
  • Please help me there is a picture below,will mark you as brainlest!<br> Thank You :)
    12·2 answers
  • Measure of missing angle
    6·2 answers
  • The tape diagram represents an equation.
    7·1 answer
  • Use logarithm tables to evaluate<br>the following<br> 723.7 X 0.0667​
    13·1 answer
  • Which pairs of figures are congruent? Which pairs are similar?
    8·1 answer
  • PLEASE HELP! WILL MARK BRAINLIEST
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!