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Vilka [71]
3 years ago
13

PLEASE ANSWER!! WILL MARK AS THE BRAINLIEST!! EXPLAIN IT TO ME BECAUSE I AM NOT UNDERSTANDING ANYTHING!!!!!

Mathematics
2 answers:
Gnoma [55]3 years ago
7 0
Short Answer D
The first thing that must be done is to see what e raised to a minus number does. Try a real simple example

y = 5e^-0.05
Put that into your calculator. You get
5 * 
e 
^ 
- 0.05
= 

The result is getting smaller. The answer I get is 4.7 which  is less than 5. That means that our insect population is going to go down. What will happen if you change that -0.05 to a plus 0.05 Try it again.

5*e^0.05 = I get 5.25 The number is increasing 5.25 > 5. 

What have you done? You have just eliminated two possible answers. a and c will both make 26 go up. You don't want either of them.

So now we need to look at B and D 
B won't work. Remember that t is a number in years. Any other number represents millions of insects. So the second equation must be written as P>2 The population must be kept at 2 million insects. Until then the first equation decreases the insect's numbers.

The answer is D
Romashka-Z-Leto [24]3 years ago
4 0
P represents the population in millions.

An exponential function with a positive exponent means function increases with time t.
An exponential function with a negative exponent means function decreases with time t.
So we're looking for a function with a NEGATIVE exponent.

Also, since question says population will remain CONSTANT at the minimum of 2 (millions) insects, so it should not be a function of time t.
Therefore this condition should be written as P>=2 (millions) [and not 2t].

Given the above  information, it will be up to you to choose the correct answer choice.

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A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and
IRINA_888 [86]

Answer:

<em>The approximate percentage of cars that remain in service between 73 and 84 months</em>

<em>P( 73 < x < 84 ) = 0.02145 = 2.1 %</em>

<u>Step-by-step explanation</u>:

<u><em>Explanation</em></u>:-

Given mean of the Population 'μ ' = 51 months

Standard deviation of the Population 'σ' = 11 months

Let 'X' be the random variable of Normal distribution

<em>Let    'X'  = 73</em>

<em></em>Z = \frac{x-mean}{S.D} = \frac{73-51}{11} = 2<em></em>

<em>Let  'X' = 84</em>

<em></em>Z = \frac{84-51}{11} = 3<em></em>

<em>The approximate percentage of cars that remain in service between 73 and 84 months</em>

<em>P( 73 < x < 84 )      = P( 2 < Z < 3)</em>

<em>                               = P( Z<3) - P( Z <2)</em>

<em>                              =  0.5 + A(3) - ( 0.5 + A(2))</em>

<em>                             = A(3) - A( 2)</em>

<em>                             = 0.49865 - 0.4772     ( From Normal table)</em>

<em>                             = 0.02145</em>

<em>  P( 73 < x < 84 ) = 0.02145</em>

<em>The approximate percentage of cars that remain in service between 73 and 84 months</em>

<em>P( 73 < x < 84 ) = 0.02145 = 2.1 %</em>

7 0
3 years ago
What is a reasonable distance between two cities?
deff fn [24]
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8 0
3 years ago
What has the same value as 3/4
ch4aika [34]
The decimal form, which is equivalent to 3/4, is .75

Other fraction forms of 3/4, would be also 6/8, 9/12, 12/16, 15/20, 18/24, 21/28
8 0
3 years ago
Read 2 more answers
Is 3x-5+y=2y-4 linear if so write the equation in standard form and give the values of A B and C
ruslelena [56]
Equation in standard form:
Ax+By=C

We have:
3x-5+y=2y-4
3x+y-2y=-4+5
3x-y=1

Therefore:
A=3
B=-1
C=1

Answer: the equation in standard form would be: 3x-y=1; and the values of A, B and C would be: A=3; B=-1 and C=1.
8 0
3 years ago
Find a recursive formula for the sequence:<br><br> 1, -1, -7, -25
Mumz [18]
<h3>Answer:</h3>

a_n=3a_{n-1}-4

<h3>Step-by-step explanation:</h3>

<em>Try the answers</em>

You can try the answers to see what works. You can expect all of the choices to match the first two terms, so try some farther down. Let's see if we can get -25 from -7.

a) 3*(-7) -4 = -21 -4 = -25 . . . . this one works

b) -7 -2 = -9 . . . . ≠ -25

c) -3(-7) +2 = 21 +2 = 23 . . . . ≠ -25

d) -2(-7) +1 = 14 +1 = 15 . . . . ≠ -25

The formula that works is the first one.

_____

<em>Derive it</em>

All these formulas depend on the previous term only, so we can write equations that show the required relationships. Let the unknown coefficients in our recursion formula be p and q, as in ...

a_n=p\cdot a_{n-1}+q

Then, to get the second term from the first, we have

... 1·p +q = -1

And to get the third term from the second, we have

... -1·p +q = -7

Subtracting the second equation from the first gives ...

... 2p = 6

... p = 3 . . . . . . . this is sufficient to identify the first answer as correct

We can find q from the first equation.

... q = -1 -p = -1 -3 = -4

So, our recursion relation is ...

a_n=3a_{n-1}-4

6 0
3 years ago
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