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dybincka [34]
3 years ago
12

If a pair of parallel lines are rotated

Mathematics
1 answer:
Sever21 [200]3 years ago
4 0
They are still parrallel lines

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The​ half-life of radium is 1690 years. If 20 grams are present​ now, how much will be present in 250 ​years?
Aneli [31]

Answer:

  18.05 g

Step-by-step explanation:

The multiplier of the initial quantity is ...

  (1/2)^(t/1690)

so, for t=250, this becomes ...

  (1/2)^(250/1690) ≈ 0.902545

Then the quantity remaining of the initial 20 g is ...

  (20 g)(0.902545) ≈ 18.05 g

3 0
3 years ago
Nancy is buying a new pair of boots. The store is having a sale and all boots are 20% off. Which expression represents the sale
leva [86]
There are two expressions that can work for this: 0.8x and x-0.2x Hope this helps :)
3 0
3 years ago
A recipe calls for 1 2/3 cups of sugar. If you
Kruka [31]

Answer: 5

Step-by-step explanation: You have to multiply 1 2/3 and 3.

I hope this helps you out!

7 0
3 years ago
Read 2 more answers
Liquid measurements charts
grin007 [14]
Whats the questions???
4 0
3 years ago
Let f be a differentiable function such that f(3)=15, f(6)=3, f ' (3)= -8, and f ' (6)= -2. The function g is differentiable and
Ray Of Light [21]

Answer:

A. g'(3)=-\frac{1}{2}

Step-by-step explanation:

We have been given that f be a differentiable function such thatf(3)=15, f(6)=3, f'(3)= -8, and f'(6)= -2. The function g is differentiable and g(x)= f^{-1} (x) for all x.

We know that when one function is inverse of other function, so:

g(f(x))=x

Upon taking derivative of both sides of our equation, we will get:

g'(f(x))*f'(x) =1

g'(f(x))=\frac{1}{f'(x)}

Plugging x=6 into our equation, we will get:

g'(f(6))=\frac{1}{f'(6)}

Since g(x)= f^{-1} (x), then g'(f(6))=g'(3).

g'(3)=\frac{1}{f'(6)}

Since we have been given that f'(6)= -2, so we will get:

g'(3)=\frac{1}{-2}

g'(3)=-\frac{1}{2}

Therefore, g'(3)=-\frac{1}{2} and option A is the correct choice.

8 0
3 years ago
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