Answer:
n = 9
Step-by-step explanation:
Note that
256 =
, thus
= 
Since the bases on both sides are equal (2) equate the exponents
n - 1 = 8 ( add 1 to both sides )
n = 9
Answer:
sorry i cant help , not smart enough ,but i wish i was tho
Step-by-step explanation:
Your answer is c)3/10
for the future calculator soup has a good Fraction<span> to Decimal Calculator all you have to do it type in the fraction and it will give you the decimal version.</span><span />
Answer:
- 700 initial cells
- 2486 cells after 25 hours
Step-by-step explanation:
#1 There are 700 yeast cells when Phillipa starts her experiment. (This value is given in the problem statement.)
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#2 For this, we must assume the time period that is associated with the 5.2% growth. (The problem statement does not specify it.)
The general form of the equation for exponential growth is ...
f(t) = (initial value)×(growth multiplier in time period)^(number of periods)
When the growth (or decay) rate is indicated as a percentage (r), the "growth multiplier in time period" is generally ...
growth multiplier = 1+r
Here, the value of "r" is 5.2% = 0.052, so the growth multiplier in the time period is ...
1 + 0.052 = 1.052
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As we said, the time period is not specified. Since the only time period mentioned in the problem is 25 hours, we might reasonably assume that the 5.2% growth occurs in one hour. Then the cell population is ...
f(t) = 700×1.052^t . . . . . . for t in hours
After 25 hours, ...
f(25) = 700×1.052^25 ≈ 700×3.55135 ≈ 2485.9 ≈ 2486
The number of yeast cells present after 25 hours is about 2486.
Answer:
x + 4
Step-by-step explanation:
Area of rectangle= length × breadth
In this question, one length is 5x + 3 and the area is 5x^2 + 23x + 12
This means that;
5x2 + 23x + 12 = 5x + 3 (b)
Hence, to get the other length (b) = 5x2 + 23x + 12/ 5x + 3
To get the other length, we can factorize the algebraic expression;
5x2 + 23x + 12
Product: 60x^2 (20x × 3x)
Sum: +23x (20x + 3x)
Hence;
= 5x^2 + 20x + 3x + 12
Next, we find factors;
5x (x+4) + 3 (x+4)
Therefore, the factors are (5x + 3) and (x +4)
This means that the other length is (x +4)