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andrey2020 [161]
3 years ago
13

A plane traveled 924 miles to Lagos and back. The trip there was with the wind. It took 11 hours. The trip back was into the win

d. The trip back took 22 hours. Find the speed of the plane in still air and the speed of the wind.
Mathematics
1 answer:
ankoles [38]3 years ago
7 0

Answer:84mph there and 42mph back

Step-by-step explanation:do 924 divided by 11 and 924 by 22

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You have 480 grams of a radioactive kind of samarium. If its half-life is 90 years,
lisov135 [29]

Answer:

120 grams will be left after 180 years.

Step-by-step explanation:

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay and its given by

                                             N(t)=N_0(\frac{1}{2})^\frac{t}{t_{1/2}}

where,

N(t) = quantity of the substance remaining

N_0 = initial quantity of the substance

t = time elapsed

t_{1/2} = half life of the substance

From the information given we know that:

  • The initial quantity is 480 g,
  • The half-life is 90 years,
  • 180 years is the time elapsed.

And we want to find how much will be left. For this we use the above formula.

N(t)=480\left(\frac{1}{2}\right)^{\frac{180}{90}}\\\\N(t)=480\left(\frac{1}{2}\right)^2\\\\N(t)=480\cdot \frac{1}{2^2}=120

120 grams will be left after 180 years.

3 0
3 years ago
20 hundreds equals how many thousands?
RideAnS [48]
I think you mean how many thousands equal 20 hundreds. Well it's simple, 20 hundreds equal 20*100 which equals 2,000. Therefore, 20 hundreds equals 2 thousands.
8 0
3 years ago
Read 2 more answers
The circumference is 1 mile. What is the diameter?
iren2701 [21]

Answer:

Step-by-step explanation:

circumference  = 2* pi * radius = 1

-> radius = 0.1592 mile

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> diameter = 2* radius = 0.31847 mile

8 0
3 years ago
BRAINLY FOR THE FASTEST WITH GOOD EXPLANATIONS
Neporo4naja [7]

So, when we're tasked with things like this, rewriting everything in terms of sine and cosine and combining fractions often trivializes things, so doing just that gives us:

\frac{\frac{1}{\cos{x}}-\frac{1}{\sin{x}}}{\frac{\cos{x}}{\sin{x}}-1}= \\\frac{\frac{=(\cos{x}-\sin{x})}{\cos{x}\sin{x}}}{\frac{\cos{x}}{\sin{x}}-\frac{\sin{x}}{\sin{x}}}=\\\frac{-(\cos{x}-\sin{x})}{\cos{x}\sin{x}}*\frac{\sin{x}}{\cos{x}-\sin{x}}=\\-\frac{1}{\cos{x}}

So out expression is 1/cos(x).

4 0
2 years ago
Hey what's the answer<br>thanks. <br>​
k0ka [10]

Step-by-step explanation:

if b+c=0

b=-c

x^b=x^-c

so

1/[2(x^b)+1]

6 0
2 years ago
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