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zmey [24]
3 years ago
14

Given the following exponential function, identify whether the change represents

Mathematics
1 answer:
Arlecino [84]3 years ago
7 0

Answer:

It is a growth rate of 86%.

Step-by-step explanation:

Hi, to answer this question we have to analyze the exponential function:  

A = P (1 + r) t  

Where:  

p = original population  

r = change rate (decimal form)  

t= time (x)

A = population after t years  

Replacing with the values given:  

y = 270(1.86)^x

Since the term 1.86 is equal to 1+ 0.86, it is a exponential growth because the rate is positive. (r =0.86)

In percentage form: 0.86 x 100 =86%

Feel free to ask for more if needed or if you did not understand something.

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The size of angle aob is equal to 132 degrees and the size of angle cod is equal to 141 degrees. find the size of angle dob.
Varvara68 [4.7K]

angle AOB = 132 and is also the sum of angles AOD and DOB. Hence 
angle AOD + angle DOB = 132°    ---> 1 

angle COD = 141 and is also the sum of angles COB and BOD. Hence 
angle COB + angle DOB = 141°    ---> 2

Now we add the left sides together and the right sides of equations 1 and 2 together to form a new equation. 

angle AOD + angle DOB + angle COB + angle DOB = 132 + 141       ---> 3 

We should also note that: 
angle AOD + angle DOB + angle COB = 180° 

Therefore substituting angle AOD + angle DOB + angle COB in equation 3 by 180 and solving for angle DOB:
180 + angle DOB = 132 + 141 
angle DOB = 273 - 180 = 93° 

8 0
3 years ago
Jada walks up to a tank of water that can hold up to 15 gallons. When it is active, a drain empties from the tank at a constant
zloy xaker [14]

Answer:

3 minutes 6 gallons of water is gone so therefor it would take 6 complete minutes but 3 more minutes

Step-by-step explanation:

8 0
2 years ago
Check all that apply please
love history [14]

As, synthetic division by -4 gives remainder 0. Hence, Option B is correct. -4 is a root of 3x^{2} +7x-20

As, x+4=0 gives x=-4.

So, option C is correct,

(x+4) is factor of 3x^{2} +7x-20

Option E is correct

\frac{3x^{2} +7x-20 }{x+4}=3x-5

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2 years ago
If i have a forest composed of 25 species of trees, each with a known abundances, how many events are there in the sample space
Vsevolod [243]
There are 25 species of trees, each with a known abundances. The question is how many possible ways to randomly select one tree there are.
We should calculate the number of combinations. Combinations, because we select item/s from a collection. In this case, when we select only one item, the combination is also a permutation. From set of n objects we select r. In our case: n=25, r=1. 
The equation is: n!/r!(n-r)!= 25!/1!*24!=25*24!/24!=25
There are 25 different outcomes (events).
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3 years ago
Solve for z <br> W=X+Xyz for x
kogti [31]
Is there any sums that you needed to solve this with?
7 0
2 years ago
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