Answer:
P(t) = 200·0.95^t
Step-by-step explanation:
Each year, the population drops to 95% of its previous value. That is, the population is multiplied by 0.95 each year. Repeated multiplication is signified by an exponent. Here, that exponent is the number of years from today (t).
The population function can be written as ...
P(t) = 200·0.95^t
Answer:
25
Step-by-step explanation:
7^2+24^2=625 the sqr root of 625 is 25
Answer:
Step-by-step explanation:
What we're looking for here is the volume of this ball, which is the volume of a sphere:
If our diameter is 3, then the radius is 1.5:
In terms of π, the solution is
which can also be expressed as 
Or if you have to multiply in the pi, the solution is
V = 14.14 cubic inches
<h2>Answer:</h2>
[1] Area of base = 13 × 13 = 169in².
Area of faces = 4 (1/2 × 13 × 8) = 208in².
Surface area = (169 + 208)in² = 377in².
[2] Area of base = 1/2 × 5.2 × 4.5 = 11.7in².
Area of faces = 3 (√3/4 × 5.2²) = 35.1in².
Surface area = (35.1 + 11.7)in² = 46.8in².
[3] Area of base = 7 × 10 = 70in².
Area of faces = 2(1/2 × 7 × 6) + 2(1/2 × 10 × 4.8)
= 98in².
Surface area = (70 + 98)in² = 168in².
Answer:
Step-by-step explanation:
<u>Perpendicular lines have negative reciprocal slopes, so the line is:</u>
<u>Finding the value of b, using the given point (-9, -2)</u>
- -2 = -1/3*(-9) + b
- -2 = 3 + b
- b = -2 - 3
- b = -5
<u>The line is</u>
