Answer:
A
Step-by-step explanation:
Given the exponential function
f(t) = 228
← where t is time in years
Substitute t = 20 into f(t), that is
f(20) = 228 × 
= 228 × 0.60268.... ≈ 137 → A
Answer:
39 ft²
Step-by-step explanation:
Area of a triangle = 1/2bh
Let:
base = b = 4 ft
height = h = 3 ft
Solve for the area of the triangle:
A = 1/2(4)(3)
A = 2 * 3
A = 6 ft²
Area of a rectangle = bh
Let:
base = b = 9 ft
height = h = 5 ft
Solve for the area of the rectangle:
A = (9)(5)
A = 9 * 5
A = 45 ft²
Subtract the area of the triangle from the area of the rectangle:
45 - 6 = 39 ft²
39 ft² is your answer.
~
It is being distributed ( ex: 5(1), bring the 5 over and multiply: 5). Since -1 is the term that is distributing for both 8m and 32, multiplying both would equal= -8m (8m x -1, + x - = negative), +32 (notice the positive, - x - = positive). In conclusion, this would be -8m+32.
The x-value at the point, denoted by d, is 18
<h3>Slope of a line </h3>
From the question, we are to determine the x-value at point B on the line
Given the points (x₁, y₁) and (x₂, y₂) on a line.
The slope, m, of a line with two points (x₁, y₁) and (x₂, y₂) on the line is given by the formula
m = (y₂ - y₁)/(x₂ - x₁)
From the given information,
Point A is (2, 1)
Point B is (d, 81)
That is,
x₁ = 2
y₁ = 1
x₂ = d
y₂ = 81
and
slope, m = 5
Thus,
5 = (81 - 1) / (d - 2)
5 = 80/(d -2)
5(d - 2) = 80
5d - 10 = 80
5d = 80 + 10
5d = 90
d = 90/5
d = 18
Hence, the x-value at the point, denoted by d, is 18
Learn more on Slope of a Line here: brainly.com/question/19012287
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Remark
<em><u>Two remarks</u></em>.
1. The weight of the ostrich is on the numerator of the ratio.
2. You have to change units of one of them to make the units the same.
Step One
Change the 150 kg to grams
150 kg * 1000 gram/1 kg = 150,000 grams
Step Two
Find the % of ostrich to hummingbird
Percent = (150,000 / 2) * 100%
Percent = 75000 * 100% = 7 500 000% larger.
