50 years. 2 times 5 is 10. Add a zero. 1,000,000
Answer:
4 litres of 12% solution
2 litre of 24% solution
Step-by-step explanation:
Let the 12% solution = l
Let the 24% solution = h
Dimitri needs a total of 6 litres of both :
l + h = 6 - - - - - - - - (1)
He needs a mixture of both volumes of both to give a 16% volume
12%l + 24%h = 16% * 6
0.12l + 0.24h = 0.96 ----(2)
From (1)
l + h = 6;
l = 6 - h
Substitute l =6-h into (2)
0.12(6 - h) + 0.24h = 0.96
0.72 - 0.12h + 0.24h = 0.96
0.72 + 0.12h = 0.96
0.12h = 0.96 - 0.72
0.12h = 0.24
h = 0.24 / 0.12
h = 2
From ;
l = 6 - h
l = 6 - 2
l = 4
The correct answer for this question is this one: <span>(-4, -11)
</span>In order to solve this,
Let k1 = 7/10 = fraction of the first part
Let k2 = 3/10 = fraction of the second part
Then, use solve for x and y
x = (k1(x2) +k2(x1)) / (k1+k2)
y = (k1(y2) +k2(y1)) / (k1+k2)
x = (7/10 * 5 + 3/10 * -25) / (7/10 + 3/10 )
<span>x = -8 / 2
x = -4
y = (7/10 * -25 + 3/10 * 10) / (7/10 + 3/10)
y = -14 + 3
y = -11
Hope this helps answer your question. Have a nice day!</span>
The function given to us is : 
We want to see which function represents the horizontal compression of f(x) by a factor of 4
We can compress a function horizontally by multiplying the x by a constant number, in this case multiplying x by 4
So horizontal compression of 
This matches with the option B = 
Hence, your answer (B) is correct.
Answer:
a = 20, b = 5
Step-by-step explanation:
| x-a| ≥ b
| x - 20 | ≥ 5
a = 20 ... car speed
b = 5 ... either 5 m/h above or lower than the limit speed 20 m/h
