Answer:
17 /6 t
Step-by-step explanation:
3t2+4t3
=32t+43t
Combine Like Terms:
=32t+43t
=(32t+43t)
=176t
Answer:
She attempt 1,000 free throws
Step-by-step explanation:
X • 0.2 = 200
X = 200/0.2
X = 1,000
The answer will be 0.40 because 2 divided by 5 is 0.40
Answer:
<em>There are approximately 114 rabbits in the year 10</em>
Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
We are given two measurements of the population of rabbits on an island.
In year 1, there are 50 rabbits. This is the point (1,50)
In year 5, there are 72 rabbits. This is the point (5,72)
Substituting in the general model, we have:
![50=P_o(1+r)\qquad\qquad[1]](https://tex.z-dn.net/?f=50%3DP_o%281%2Br%29%5Cqquad%5Cqquad%5B1%5D)
![72=P_o(1+r)^5\qquad\qquad[2]](https://tex.z-dn.net/?f=72%3DP_o%281%2Br%29%5E5%5Cqquad%5Cqquad%5B2%5D)
Dividing [2] by [1]:
Solving for r:
![\displaystyle r=\sqrt[4]{\frac{72}{50}}-1](https://tex.z-dn.net/?f=%5Cdisplaystyle%20r%3D%5Csqrt%5B4%5D%7B%5Cfrac%7B72%7D%7B50%7D%7D-1)
Calculating:
r=0.095445
From [1], solve for Po:
The model can be written now as:
In year t=10, the population of rabbits is:
P = 113.6
There are approximately 114 rabbits in the year 10
1st you have to know that in mathematiques the signs preceding any number are of paramount importance:
1) addition of 2 digits with different signs:
a) 8 - 3 = 5
b)-8 + 3 = -5 (if the negative sign is associated with largest digit, then the subtraction will be negative and vice versa
c) addition of 2 digits with both negative sign
- 5 - 8 = -13 .You jus add up both by keeping the negative sign
2) Multiplication: 2 digits with different signs:
a) (8) x (-3) = -24
b) (-8) x (3) = -24 so (-) x (+) or (+) x (-) is ALWAYS negative
3) Multiplication: 2 digits with SAME signs;
a) +8 x +3 = 24
b) (-8) x (-33) =24 so (-) x (-) or (+) x (+) is ALWAYS POSITIVE
4) what applies on multiplication applies also on division (same principle)
5) Now we come to parenthesis: When you have parenthesis, the sign preceding the parenthesis is also of paramount importance:
a) a positive sign preceding a parenthesis doesn't affect the consents if you remove these parenthesis: +(5 + 3y) = 5+3y or 2(5+3y) = 10+6y
b) a NEGATIVE sign preceding a parenthesis DOES affect the consents if you remove these parenthesis:
-2(4x -2y -3) ==> If you remove the parenthesis by multiplying by (-2), all signs inside will change: the (+) become ( -) and vice versa,. However mind you, if you have a negative
Now let's take your equation: -15 - ( - 8 ) = -15 +8, remember a negative sign preceding any parenthesis will change all signs inside if you REMOVE the parenthesis: some examples:
a) -15 + 10 -(4-32x -4y)
1st (-15 + 10) = -5 since the largest number is preceded by a NEGATIVE sign
so : -5 - (4-32x -4y) remove the parenthesis -5 -4 + 32x +4y
b) -(-5-8) -(+5+8) ==> -5-8 -5-8 = -10 - 16 => - 26
.
