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fredd [130]
3 years ago
13

32/96 in its simplest form

Mathematics
2 answers:
NikAS [45]3 years ago
5 0
The answer is 1/3.
To get to this conclusion you must halve both the numerator and the denominator until you reach a point where each number can no longer be halved.
32/96
16/48
8/24
4/12
2/6
1/3 
taurus [48]3 years ago
5 0
32/96
= (32/32) / (96/32)
= 1/3

32/96 in its simplest form is 1/3~
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I^15 = (i feel dumb for not knowing but i hate the i stuff, please solve)
myrzilka [38]

Answer:

C.

Step-by-step explanation:

i ^ {15}

=> i^{14}*i

=> (i^2)^7*i

=> (-1)^7 * i

=> (-1)*i

=> -i

6 0
3 years ago
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Hello, Can I get some help with #30 a and b, please? Don't forget to show your work.
Murljashka [212]

Answer:

a. dy/dx = -2/3

b. dy/dx = -28

Step-by-step explanation:

One way to do this is to assume that x and y are functions of something else, say "t", then differentiate with respect to that. If we write dx/dt = x' and dy/dt = y', then the required derivative is y'/x' = dy/dx.

a. x'·y^3 +x·(3y^2·y') = 0

y'/x' = -y^3/(3xy^2) = -y/(3x)

For the given point, this is ...

dy/dx = -2/3

___

b. 2x·x' +x^2·y' -2x'·y^3 -2x·(3y^2·y') + 0 = 2x' + 2y'

y'(x^2 -6xy^2 -2) = x'(2 -2x +2y^3)

y'/x' = 2(1 -x +y^3)/(x^2 +6xy^2 -2)

For the given point, this is ...

dy/dx = 2(1 -0 +27)/(0 +0 -2)

dy/dx = -28

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The attached graphs show these to be plausible values for the derivatives at the given points.

6 0
2 years ago
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How do you find the lowest common factor of 6 and 14
Gwar [14]
2 divides both numbers, so divide both numbers by 2 to get 3 and 7. These are relatively prime, so 2 is the gcd. The lcm is 6*14/2=42.
3 0
3 years ago
Trains Two trains, Train A and Train B. weigh a total of 196 tons. Train A is heavier than Train B. The
aleksklad [387]

Answer:

Train A = 128

Train B = 68

Step-by-step explanation:

We can set up a system of equations for this problem

Let A = # of tons of Train A

Let B = # of tons of Train B

A + B = 196

A = B + 60

Now, we plug in A for the first equation, using substitution

(B+60) + B = 196

2B + 60 = 196

Subtract 60 from both sides

2B = 136

Divide both sides by 2

B = 68

Plug in 68 for B in the 2nd equation

A = 68 + 60

A = 128

Checking work: 128 + 68 = 196 :D hope this helped

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2 years ago
The expression 12x+15x-11x can be combined because of which property
Kazeer [188]
The answer would be A. Commutative property of addition 
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2 years ago
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