Answer:
336 squirrels
Step-by-step explanation:
-This is a Mark-Recapture method.
-The population is estimated using the formula:
where:
- N-is the estimated population size.
- M-is the number of individuals tagged
- C- is the total number captured the second time(both tagged and untagged)
- R-is the total number of tagged individuals recaptured.
#We substitute our values as follows to estimate N:
Hence, there are approximately 336 squirrels in the conservation area.
*population is always rounded up to the next whole number.
Answer:
240$
Step-by-step explanation:
we know that
The simple interest formula is equal to
I=P(rt)
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
Sandra
t = 1 year
I= $75
P= $2,500
r= ?
substitute in the formula above
75=2,500 (r(1))
solve for r
r=75/2,500)
r= 0.03
Convert to percentage form
r= 0.03 * 100 = 3%
Ron
t=1 year
I = ?
P= 8,000
r= 0.03
substitute in the formula of interest
I = 8,000(0.03 *1)
I = $240
The answer, in short, is that the short leg equals 15 mm, the long leg equals 20 mm, and the hypotenuse equals 25mm. but if you'd like to see how I solved it, here are the steps.
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The Pythagorean theorem (also known as Pythagoras's Theorem) can be used to solve this. This theorem states that one leg or a right triangle squared plus the other side of that same triangle squared equals the hypotenuse of that triangle squared. To put it in equation form, L² + L² = H².
Let's call the longer leg B, the shorter leg A, and the hypotenuse H.
From the question, we know that A = B - 5, and H = B + 5.
So if we put those values into an equation, we have (B - 5)² + B² = (B + 5)²
Now, to solve. Let's square the two terms in parentheses first:
(B² - 5B - 5B + 25) + B² = B² + 5B + 5B + 25
Now combine like terms:
2B² -10B + 25 = B² + 10B + 25
And now we simplify. Subtract 25 from each side:
2B² - 10B = B² + 10B
Subtract B² from each side:
B² - 10B = 10B
Add 10B to each side:
B² = 20B
And finally, divide each side by B:
B = 20
So that's the length of B. Now to find out A and H.
A = B - 5, so A = 15.
H = B + 5, so H = 25.
And your final answer is A = 15mm, B = 20mm, and H = 25mm
To solve this problem, we are going to use the percent proportion, a/b = p/100, where a is the part of a number b, the whole, and p is the percentage out of 100.
When we fill in our known integers into this equation, we get
21.12 / b = 25.6 / 100
Next, to simplify this equation, we should use cross products (means - extremes products theorem). This means multiplying the numerator of one fraction and the denominator of the other fraction and setting them equal to one another.
21.12(100)=25.6(b)
When we multiply, you get
2112 = 25.6b
Finally, we divide both sides by 25.6, to get our variable b, alone, and without a coefficient.
82.5 = b
Therefore, 25.6% of the number 82.5 is 21.12.
Answer:
D 1 and -1
Step-by-step explanation:
divided by 8
(x+1)(x+1)=0
so x=+-1
