can someone explain and answer this for me.... my math final is tomorrow and this is the only thing im confused on
1 answer:
Answer:
937,381
Step-by-step explanation:
The problem statement explains the exponential formula for the population. It is written in terms of doubling time. You are told what the variables are, and you are given their values. All you need to do is substitute them into the formula and do the arithmetic.
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The population of the culture after 10 hours is 937,381.
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Answer:
Step-by-step explanation:
Please refer to the image attached with this answer. Assuming our triangle to be ΔABC and Line AD meeting BC at D.
As we are given that side b = side c
The angle subtended by them ∠B and ∠C must be equal . Let us assume them to be x each . hence
x + x + 52° +31° = 180°
2x + 73° = 180°
2x = 180°- 73°
2x = 107 °
x = 53.5°
Hence in ΔACD
x+ 31°+∠2= 180°
53.5°+31°+ ∠2 = 180°
∠2=180°-84.5°
∠2=95.5°
Also
∠1 + ∠2 = 180°
∠1 + 95.5° = 180°
∠1 = 180°-95.5°
∠1 =84.5°
Now applying Sine rule in ΔABD
Hence we have c as 15.14
as we are given that side c = side b , b=15.14
The properties of any triangle says that the sum of two sides of any triangle is always greater than the third side. Hence
a<b+c
12+2x-6<15.14+15.14
6+2x<30.28
2x<30.28-6
2x<24.28
x<12.14
also side a must be greater than 0
12+2x-6>0
6+2x>0
2x>-6
x>-3
Hence the range of x will be
-3 <x < 12.14
Answer:
Left ends is +ve infinity and Right end is -ve infinity. however both tends to be infinity.
Step-by-step explanation:
Let us under stand the basics of determining the end behavior of a graph , by just analyzing the degrees and coefficient of a polynomial.Please refer to the image we have shared with this for a better understanding also.
The rule is bifurcated in two broad category and and two sub category in them.
Category .
The nature of degree (Even / Odd )
Subcategory .
The coefficient of term containing degree ( Negative/Positive )
Rule 1 :
Degree : Even
If coefficient is
Rule 1(a) : Positive ⇒Both ends are towards +ve infinity
Rule 1(b) : Negative⇒Both ends are towards -ve infinity
Rule 2 :
Degree : Odd
If coefficient is
Rule 2(a) : Positive ⇒ Left ends is -ve infinity and Right end is +ve infinity
Rule 2(b) : Negative ⇒ Left ends is +ve infinity and Right end is -ve infinity
Let us see our function f(x) = now
Here
Degree is 3 which is Odd
Its coefficient is (-2) which is negative
Hence we go to rule 2(b)
That is the Left ends is +ve infinity and Right end is -ve infinity. however both tends to be infinity.