Answer:
-30
Step-by-step explanation:
-20-8=-28
-28-12
=-30
Hello there! The solution of your question has been given below.
<h3>Solution:</h3>
![{6}^{ - 2} \\ = ( \frac{1}{6} ) ^{2} \\ = \frac{ {1}^{2} }{ {6}^{2} } \\ = \frac{1}{36}](https://tex.z-dn.net/?f=%20%7B6%7D%5E%7B%20-%202%7D%20%20%5C%5C%20%20%3D%20%28%20%5Cfrac%7B1%7D%7B6%7D%20%29%20%5E%7B2%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B%20%7B1%7D%5E%7B2%7D%20%7D%7B%20%7B6%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%7D%7B36%7D%20)
<h3>Answer:</h3>
Option B.
![\frac{1}{36}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B36%7D%20)
The functions are:
![p(x)=2\cdot4^x](https://tex.z-dn.net/?f=p%28x%29%3D2%5Ccdot4%5Ex)
and
![s(x)=2x+5](https://tex.z-dn.net/?f=s%28x%29%3D2x%2B5)
.
After 2 weeks, under no risk of spiders, the population of the flies is calculated by the function as
![p(2)=2\cdot4^2=2\cdot16=32](https://tex.z-dn.net/?f=p%282%29%3D2%5Ccdot4%5E2%3D2%5Ccdot16%3D32)
.
Similarly, we calculate s(2)=2(2)+5=4+5=9, which means that the spider consumes 9 flies in 2 weeks.
Thus, out of 32 flies, 9 are eaten by the spider, so there are 32-9=23 flies left.
Answer: 23
Answer:
51 in^2
Step-by-step explanation:
Taking apart the two shapes (triangle and square) the square's area is 6*7, or 42. The triangle's area is (6*3)/2 which is 9. Then add those values to get 51