Answer:
k - 2e + 9 = 0
k - e - 4 = 0
Step-by-step explanation:
Given that Elena is currently e years old and Katie is k years old. Now, nine years ago, Katie was twice as old as Elena was.
So, k - 9 = 2(e - 9)
⇒ k - 2e + 9 = 0 .............. (1)
And, in four years, Elena will be as old as Katie is now.
So, k = e + 4
⇒ k - e - 4 = 0 ............... (2)
Therefore, the equations (1) and (2) matches the conditions. (Answer)
Answer:
- 5 min: 3,029,058
- 10 min: 3,398,220
- 60 min: 10,732,234
Step-by-step explanation:
The given function is evaluated by substituting the given values of t. This requires using the exponential function of your calculator with a base of 'e'. Many calculators have that value built in, or have an e^x function (often associated with the Ln function).
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<h3>5 minutes</h3>
The number of bacteria present after 5 minutes is about ...
f(5) = 2.7×10^6×e^(0.023×5) ≈ 3,029,058
<h3>10 minutes</h3>
The number of bacteria present after 10 minutes is about ...
f(10) = 2.7×10^6×e^(0.023×10) ≈ 3,398,220
<h3>60 minutes</h3>
The number of bacteria present after 60 minutes is about ...
f(60) = 2.7×10^6×e^(0.023×60) ≈ 10,732,234
43 and 44, but it's closer to 43
Answer:
6
Step-by-step explanation:
the hypotenuse should be 3√2*√2=6
namely, let's rationalize the denominator in the fraction, for which case we'll be using the <u>conjugate</u> of that denominator, so we'll multiply top and bottom by its <u>conjugate</u>.
so the denominator is 5 + i, simply enough, its conjugate is just 5 - i, recall that same/same = 1, thus (5-i)/(5-i) = 1, and any expression multiplied by 1 is just itself, so we're not really changing the fraction per se.
