A species of plant experiences exponential growth after it is introduced into an area where it has never been. Which statement best describes exponential growth?
Answers
Answer:
C. Within a few years the population increases dramatically
True. As we can see on the function if we increase the time by 10 units for example the final amount is increasing by a factor of
and that represent a dramatically increase.
Step-by-step explanation:
When we have a exponential growth model the general formula is given by:
Since says "growth" the rate of increase r>0, represent the initial amount and A the amount after the time t.
Assuming the possible options for the answer. We analyze one by one
A. Each individual plant grows much larger than usual
False, for this model we assume that all the individuals in the population modeled have similar characteristics, because if the individuals are different we can't use a deterministic model like this one.
B. The population immediately decreases
False. We are assuming that the model is for a growth rate so then is not possible to have a decrease.
C. Within a few years the population increases dramatically
True. As we can see on the function if we increase the time by 10 units for example the final amount is increasing by a factor of
and that represent a dramatically increase.
D. The specie's reproductive potential declines
False, we are considering a growth model in which it makes no sense to consider that the potential, population or quantity measured decrease.
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Explain why all squares are similar????? and please help with question below!!!!!!!!!!!!!
A bag contains 5 yellow marbles, 7 pink marbles, and 3 purple marbles. Gordon selects a marble without looking. What is the probability that he selects a yellow marble or a purple marble? A.8/15 B.1/15 C.7/15 D.2/45
7(m-12)=5ma) -7b) 6c) 42d) -42
What is the slope of a line that is perpendicular to the line y = 8x + 5?
Part A
Go to your math tools and open the Graph tool to graph the two sets of equations. To see where the two lines intersect, change the scale so that the x-axis goes from 0 to 30 and the y-axis goes from 0 to 12. Paste a screenshot of the resulting graph in the answer space.
Part B
At which point do the lines intersect?
Part C
Do the coordinates of the point of intersection satisfy both equations simultaneously?
Answers
Answer:
Part-A: refer to the attachment
Part-B: (10,11)
Part-C: yes
step-by-step explanation:
Part-A:
refer to the attachment
(I used a online graphing calculator to graph the equations which made the work easy)
Part-B:
When two lines share exactly one common point, they are called the intersecting lines and thepointis called thepointof interception
Looking at the graph,we can understand that the two lines share a common point at (10,11),
hence,
The lines intercept at the point (10,11)
PartC:
well, to find the answer of this part, we can consider doing equality check by substituting the value of the point we got.
The point (10,11) means that the left and right hand side of both of the equations i.e are equal when x and y equal to 10 and 11 respectively.
So let's justify the points:
equation-1:
- y = x + 1
substitute the value of x and y respectively:
simplify addition:
equation-2:
- y = -x + 21
substitute the value of x and y respectively:
simplify addition:
so,
Yes,the coordinates of the point of intersection satisfy both equations simultaneously
Answer:
h
Step-by-step explanation:
Answers
Answer: 62.8 centimeters
Step-by-step explanation:
We know that the circumference of a circle is given by :_
, where r is the radius of the circle.
Given : The radius of the circle : r= 10 centimeters.
Then , the circumference of the circle is given by :-
Hence, the circumference of the circle = 62.8 centimeters
Answers
Area = πr^2 (α / 360°)
We obtain the angle by manipulating the equation.
α = (Area x 360°) / πr^2
α = (2.512 cm^2 x 360°) / (π x 4^2)
α =35.98°
Answers
The required simplified solution of the given expression is -4.
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= -6 - |3 - 7| × 4 ÷ 8 - (-2)
Simplifying the above expression using the PEMDAS rule,
= -6 -|-4|×4÷8+ 4
= -6 - 16÷18 + 4 [∵ |-4| = 4]
= -6 - 2 + 4
= -4
Thus, the required simplified solution of the given expression is -4.
Learn more about simplification here:
#SPJ2
-6-4*4/8-(-2)
-6- 16 /8-(-2)
-6 -2 - (-2)
-8 - (-2)
-6
Hope this helped
Answers
Answer:
Length = 40 cm
Width = 16 cm
Step-by-step explanation:
Length = x
Width = 1/2x -4
2 times length + 2 times width = perimeter
2x + 2(1/2x - 4) = 112 cm
2x + 2/2 x - 8 = 112 cm
2x + x = 112 + 8
3x = 120
x = 120/3
x = 40
Width = 40/2 - 4