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Anastaziya [24]
3 years ago
5

Threatened monarch butterflies are monitored by measuring the area occupied by overwintering butterflies in Mexico. According to

data collected by World Wildlife Fund Mexico, monarch butterflies occupied 1.13 hectares one recent winter, and 4.01 hectares the following winter (one year later)1. If the population is growing geometrically and grows at the same rate, how much area should the overwintering butterflies occupy one year after that
Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0

Answer:

14.2 hectares

Step-by-step explanation:

Fund Mexico, monarch butterflies occupied 1.13 hectares one recent winter, and 4.01 hectares the following winter (one year later)

The formula of Geometric growth

(Pt/ Po)^1/t

Where Pt = Size after t years = 4.01 hectares

Po = Initial size = 1.13

t = times = 1

=( 4.01/1.13 )^1/1

= 3.5486725664

Hence, Geometric growth rate = 3.5486725664.

It's size in hectares after another 1 year = Current size in hectares × Geometric growth rate

= 4.01 ×3.5486725664

= 14.230176991 hectares

≈ 14.2

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tatiyna

-(-5 - 6x) = 4 (5x +3)

Pretend that there is a -1 in front of the first bracket

-1(-5-6x)= 4(5x+3)

Mutiply the first bracket by -1

(-1)(-5)(-1)(-6x)= 5+6x

Mutiply the second bracket by 4

(4)(5x)(4)(3)= 20x+12

5+6x= 20x+12

move 20x to the other side

5+6x-20x= 20x-20x+12

5+6x-20x= 12

5-14x= 12

move 5 to the other side

sign changes from +5 to -5.

5-5-14x= 12-5

-14x=7

divide by -14

-14x/-14= 7/-14

x= -1/2

Answer: x= -1/2

6 0
3 years ago
For which conditions is p ∨ q false?
faust18 [17]

Answer:

<em>p is false and q is false.</em>

Step-by-step explanation:

<u>Logic Disjunction</u>

Assume p and q are propositions.

The disjunction of p and q, denoted by p ∨ q, is the proposition called <u>"p or q"</u>.

The rule for the 'or' operation is: If any of the propositions are true, then the result is also true.

Thus, the disjunction p ∨ q is false when both p and q are false and is true otherwise.

The correct option is the last one:

p is false and q is false.

7 0
3 years ago
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Much red yarn does Brittany need?
Georgia [21]

Answer:

5 7/8

Step-by-step explanation:

Because 1 3/8 + 5 1/2 = 6 7/8. 12 3/4 - 6 7/8= 5 7/8

Hope I Helped

7 0
3 years ago
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I have no clue how to do this
zalisa [80]

Answer:

$4

Step-by-step explanation:

We are told that Roxanne:

  • Has a checking account only
  • Uses online banking
  • Uses the bank ATM once a month
  • Uses a nonbank ATM twice a month

We need to work out how much it costs for Roxanne to bank with each bank each month, then compare the total costs to see how much Roxanee could save if she switch from East Median to Jasmine bank.

Cost of monthly banking at East Medina Bank:

Checking account services = $6

                   Online banking = $5  (remember, she doesn't have a linked savings a/c)

                         ATM (1 use) = $1

<u>        nonbank ATM (2 uses) = $6</u>

<u>                                     Total = $18</u>

Cost of monthly banking at Jasmine Bank:

Checking account services = $10

                   Online banking = $4

                          ATM (1 use) = $0

<u>        nonbank ATM (2 uses) = $0</u>

<u>                                     Total = $14</u>

To calculate the money Roxanne could save by switching to Jasmine Bank, simply find the difference between the monthly costs:

Savings = $18 - $14 = $4

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