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AveGali [126]
2 years ago
9

If 16x = 1/64, find the value of x

Mathematics
1 answer:
Ahat [919]2 years ago
8 0

Answer:

16^x = 1/64

(2^4)x=64-^1=(2^6)=2-^6

2^4x=2-^6

4x=-6

x =  -  \frac{6}{4}  =  -  \frac{3}{2}

Step-by-step explanation:

Thanks!!!

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When a farmer harvests apples he expects 6% of the apples to be rotten how many apples would the farmer expect to be rotting whe
guapka [62]

The question is incomplete had the number of harvested apples isn't given.

Answer:

0.06n

Step-by-step explanation:

When a farmer harvests apples he expects 6% of the apples to be rotten how many apples would the farmer expect to be rotting when harvesting apples

The expected percentage of rotten apples when harvesting = 6%

The expected number of rotten apples can be obtained by taking the product of the expected percentage and the number of apples to be harvested.

Since the number of harvested apples isn't given,

Let the number of harvested apples = n

Therefore, the expected number of rotten apples will be :

6% * n

0.06n

Note : you can easily substitute the actual number of harvested apples for n in the equto get the actual answer

8 0
3 years ago
If LK=MK, LK=7x-10,KN=x+3, MN=9x-11 and KJ=28 find LJ
beks73 [17]
Suppose J, K, L, M, N are points on the same line.

MK = MN + (-KN) = MN - KN = 9x - 11 - x - 3 = 8x - 14

Since LK = MK and LK = 7x - 10, then

7x - 10 = 8x - 14

8x - 7x = -10 + 14

x = 4

LJ = MK + KJ

MK = LK = 7x - 10 = 7(4) - 10 = 28 - 10 = 18

LJ = 18 + 28 = 46
3 0
3 years ago
(a) If you toss 10 coins, what percent of the time will you get the three most likely macrostates (6 heads and 4 tails, 5 heads
FromTheMoon [43]

This question is incomplete, the microstates table is left out which will be uploaded along this answer;

Answer:

a) the required is 65.6%

b) the required time is 4.2666 hrs

Step-by-step explanation:

using the microstates from the table in the diagram;

a)

the percent times the above any of the above microstates occurs is;

% (6 heads and 4 tails, 5 heads and 5 tails, 4 heads and 6 tails)

=   ((210 + 252 + 210)/1024) × 100

= 0.6562 × 100

= 65.6%

Therefore the required is 65.6%

b)

the probability of getting 10 heads and 0 tail or 0 tail head and 10 tails is;

p( 10H, 0T or 0H, 10T = 2/1024

= 1/512

so on average, it will take 512 trails or at a rate of 2 trials/min, 256 mim in hours;

(256 min) ( 1h/60min) = 4.2666 hrs

Therefore the required time is 4.2666 hrs

8 0
2 years ago
Need Help With Functions. Screenshot attatched
FinnZ [79.3K]

Answer:

4x² -29x +51

Step-by-step explanation:

Put x-3 where x is in the original function definition, then "simplify". I think you'll find it convenient to rewrite the original function definition first.

... g(x) = 4x² -5x = x(4x -5)

Substituting, we have

... g(x-3) = (x -3)(4(x -3) -5)

... = (x -3)(4x -17) . . . . . simplify right factor

... = 4x² -12x -17x +51

... g(x -3) = 4x² -29x +51

3 0
3 years ago
Gabriel makes a model of a pyramid with the dimensions shown.
professor190 [17]

Answer:

The Area of the square base is 114 In .2

The Area of each triangle face is 66 in .2

Gabriel will need 408 in .2 of paint

6 0
3 years ago
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