Answer:
<em> 200cm²</em>
Step-by-step explanation:
Total surface area of the prism = bh + L(s1+s2+s3)
b is the base of the triangle = 15cm
h is the height of the triangle = 8cm
Perimeter of the triangular base = s1 + s2 + s3 = 8+17+15
Perimeter of the triangular base = 40cm
L is the lateral height = 2cm
Substitute the given values into the formula;
Total surface area of the prism = 15(8) + 2(40)
Total surface area of the prism = 120+80
Total surface area of the prism = 200cm²
<em>Hence the total surface area of the prism is 200cm²</em>
240,000 written as a
whole number multiplied by a power of ten:
In the provided number
240,000 if we want to multiply this number by a power of ten then it would be
like 240,000 raised to the power of 10
<span><span>1. </span>In which clearly stating
that 240,000 shall multiply itself by 10 times in 240,000.
</span>
<span><span>2. </span>Hence 240, 000^10 in
numerical form</span>
<span><span>
3. </span>The result is 6.340338097x10^53</span>
<span><span>
4. </span>It seems like the
product is a lot bigger and capsized itself to a smaller scientific reading but
its still big in value because of the its current 53 power.</span>
Hope this helps!
Answer:
Step-by-step explanation:
How is 2 weeks for quick
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
The sum is of37+38+39+40+...130 is 154.13
