Answer:
<h2>The year is 2010.</h2>
Step-by-step explanation:
The population of wolves is given by P(t) = 80(0.98)t.
The study has began in the year of 2000 and will end in 2020.
The difference between 2000 and 2009 is 9 years and the difference between 2009 and 2020 is 11 years.
Hence, the maximum value of t is 11.
The domain is 
.
The population will be 80, that is P(t) = 80.
Hence, 0.98t = 1, or, t = 
≅1.
In (2009 + 1) = 2010, the population of wolves will be 80.
• Factors of 46 =1, 2, 23, 46.
• Distinct Factors of 46 = 1, 2, 23, 46.
Answer:
450 cubic meters
Step-by-step explanation:
- ( 15 X 5 X 3) + ( 15 x 5 x 3)
- 225 + 225
- 450 cubic meters
Austin didn't add the 2 prisms, he multiplied the 1st prism and kept it as the answer.
Sample space for all possible outcomes:
HH, HT, TH, TT
Sample space for event where heads is the first toss:
HT, HH
Answer:Area of the lawn is 1725 ft^2
Step-by-step explanation:
The yard is in the shape of a trapezoid. The area of the lawn can be determined by finding the area of the trapezoid. The formula for determining the area of a trapezoid is expressed as
Area of trapezoid =
1/2(a + b)h
Where
a is the length of one of the parallel sides of the trapezoid
b is the length of the other parallel side of the trapezoid.
h is the perpendicular height of the the trapezoid.
From the diagram,
a = 50 feet
b = 65 feet
h = 30 feet
Area of the lawn = 1/2(50 + 65)× 30
= 1/2 × 115 × 30 = 1725 ft^2
