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Tpy6a [65]
3 years ago
10

PLEASE HELP AND EXPLAIN

Mathematics
2 answers:
GREYUIT [131]3 years ago
7 0

Answer:

It's 8.

Step-by-step explanation:

ab = 2, bc = 4 and ac = 8.

a^2bc = ab  * ac = 2*8 = 16

ab^2 c =  2 * 4 = 8

abc^2 = 32

From the second equation:

b^2 = 8/ac = 8/8 = 1. so b = 1.

Therefore abc =  ac*1 = ac = 8

guapka [62]3 years ago
6 0

Answer:

abc = 8

Step-by-step explanation:

ab=2, bc=4 and ac=8

Multiply all of these together

ac = 2

Multiply by bc =4 (the left on the left and the right on the right)

ac * bc  = 2*4

ab^2c =8

Multipy by ac =8  (the left on the left and the right on the right)

ab^2c *ac = 8*8

a^2 b^2 c^2 = 64

Take the square root of each side

sqrt(a^2 b^2 c^2) = ±sqrt(64)

abc = ±8

Since a,b,c are positive numbers

abc = 8

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Burka [1]
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7y-1=-1+9(y-9)

Add 1 on both sides.
7y=9(y-9)
Distribute.
7y=9y-81
Subtract 7y and add 81 on both sides.
2y=81
y=40.5
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<span>4c+3=-12+c-1
</span>Subtract 3 on both sides.
4c=-12-1-3+c
Subtract c on both sides.
3c=-16
c=-16/3
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<span>-(k+1)-10=-5k+3
</span>Add 10 on both sides.
-(k+1)=-5k+13
Distribute.
-k-1=-5k+13
Add 1 and add 5k on both sides.
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-w-10=-9-2(w-8)
Distribute.
-w-10=-9-2w+16
Simplify.
-w-10=-2w+7
Add 2w and 10 on both sides.
w=17
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-2(n-3)-5=-5n+1
Distribute.
-2n+6-5=-5n+1
Simplify.
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Add 5n and subtract 1 on both sides.
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______________________________________________________

To make sure you got the right answer, you can check your work by plugging the result back into the question and seeing if both sides become equal. If both sides are equal, then the result is correct.
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4 0
3 years ago
Consider a series system composed of 4 separate components where each component has a 30% chance of failing. Assume each compone
Marina86 [1]

Answer:

16.15% probability that exactly 3 of them would function

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability of each system working:

4 components, which means that n = 4

Each has a 30% probability of failing, so p = 1 - 0.3 = 0.7

For the system to work, all 4 components have to work. This is P(X = 4).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401

0.2401 probability of a system working.

If you have 7 of these systems, what is the probability that exactly 3 of them would function?

Now 7 systems, so n = 7

0.2401 probability of a system working.

We have to find P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{7,3}.(0.2401)^{3}.(0.7599)^{4} = 0.1615

16.15% probability that exactly 3 of them would function

5 0
3 years ago
Given f(x)=2x+1, find x if f(x)=17<br> Given f(x)=x+3, find x if f(x)=6
n200080 [17]
X=8
X=3
Sorry if it’s wrong
4 0
3 years ago
PLS HELP SHOW ALL YOUR WORKING OUT AND THE CORRECT ANSWER WILL RECIEVE BRAINLIEST
EastWind [94]
So the length is 4*28=112mm
The width would be calculated like this:

you draw an equilateral triangle in the middle with sides or 2r(56mm). The based on pythagorean theorem u know that
h=rad(56^2-28^2)=48.497
28+28+h=104.497

The area would be S=l*w which is 11703.7113mm

5 0
3 years ago
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Neporo4naja [7]
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