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Alex_Xolod [135]
3 years ago
12

Given a vector with the initial point, (4,2) and the terminal point, (-3,1), find the vector in component form.

Mathematics
1 answer:
ioda3 years ago
7 0

\bf (-3,1),(4,2)\implies \implies \implies

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If f(n)=(n-1)2+<br><img src="https://tex.z-dn.net/?f=f%28n%29%20%3D%20%28n%20-1%292%20%2B%20%20%20%203n" id="TexFormula1" title=
Liono4ka [1.6K]

Distribute the 2 first.

f(n) = 2n - 2 + 3n

Combine like terms.

f(n) = 5n - 2

8 0
3 years ago
A bacteria culture begins with 15 bacteria which double in amount at the end of every hour. How many bacteria are grown during t
elixir [45]
We use P = i•e^rt for exponential population growth, where P = end population, i = initial population, r = rate, and t = time
P = 2•i = 2•15 = 30, so 30 = 15 [e^(r•1)],
or 30/15 = 2 = e^(r)
ln 2 = ln (e^r)
.693 = r•(ln e), ln e = 1, so r = .693
Now that we have our doubling rate of .693, we can use that r and our t as the 12th hour is t=11, because there are 11 more hours at the end of that first hour
So our initial population is again 15, and P = i•e^rt
P = 15•e^(.693×11) = 15•e^(7.624)
P = 15•2046.94 = 30,704
4 0
3 years ago
Read 2 more answers
What is the answer? ;3
aleksandrvk [35]
First you add the numbers

6/2*3

Now you calculate the expression

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The answer is 9, therefore 9 is your answer
3 0
3 years ago
1.) Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not ha
Mazyrski [523]

9514 1404 393

Answer:

  1. x = x+1
  2. 0 = x+1
  3. x+1 = x+1

Step-by-step explanation:

1. There will be no solution if the equation is a contradiction. Usually, it is something that can be reduced to 0 = 1.

If we choose to make our equation ...

  x = x +1

Subtracting x from both sides of the equation gives ...

  0 = 1

There is no value of the variable that will make this be true.

__

2. Something that reduces to x = c will have one solution. One such equation is ...

  0 = x+1

  x = -1 . . . . subtract 1 from both sides

__

3. Something that reduces to x = x will have an infinite number of solutions.

One such equation is ...

  x+1 = x+1

Subtracting 1 from both sides gives ...

  x = x . . . . true for all values of x

3 0
3 years ago
Helpppppppppp asappppppppp 20 points
Lesechka [4]

Here’s a small hint: “miles per hour”

Put the amount of miles over the amount of hours then calculate the amount from there! It’s either the 2nd option or the 4th one! Hope it’s helpful!

4 0
2 years ago
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