Answer:
The formula to determine the population of penguins at the end of the 7th year is:
Step-by-step explanation:
With this information, we know that the initial population at end of year 0 is 1000 penguins.
The first year will born 500 chicks (50% of the population) and also 20% of the total population will die.
We can then model the population for the end of year 1 as:
As this dynamic will continue with the years, we can generalize as:
Then, the value of the population at the end of the 7th year should be:
Answer:
miles.
Step-by-step explanation:
It is given that,
Total length of park trail = 
miles
Total length traveled by hiker = 
miles
We need to find the length of trail hiker need to travel to get to the end of the trail.
Required length 
Therefore, hiker need to travel miles to get to the end of the trail.
Answer:
The answer would be B.2100
Step-by-step explanation:
To find the surface area of a triangular prism, first find the lateral area. The lateral area is the product of the perimeter of the base and the height. The perimeter of the base is 15 in.+20 in.+25 in.=60 in., so the lateral area is 60 in.⋅30 in.=1800 in.2. The surface area of any prism is the lateral area plus the base area. Because each base is a right triangle, the area of each base is 12bh. Because the legs of the right triangle are perpendicular, you can use one of them as the base and one as the height. So, the base area is 12⋅20 in.⋅15 in.=150 in.2. There are two bases, so the surface area is 1800 in.2+150 in.2+150 in.2=2100 in.2.
Answer:
B
Step-by-step explanation:
Letter B as no solution. Because there are no values of x that make the equation true.
