We are given the equation <span>3^x = 2x + 1 in which x as the number of days of the population of flies and the number of flies consumed by iguana each week. In this case, the other equation described when x =7 population is not more than 8. The graph is a logarithmic graph</span>
Answer:
37.5
Step-by-step explanation:
3/8
3 divided by 8= .0375
.0375 times 100= 37.5
Answer: B) 4 & 1/6
Nice work on getting the correct answer.
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Explanation:
x is opposite the marked acute angle
5 is opposite the corresponding acute angle
So x and 5 are proportional to each other. We can form the ratio x/5
Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.
Set those ratios equal to each other and solve for x
x/5 = 10/12
12x = 5*10 ... cross multiply
12x = 50
x = 50/12 ...... divide both sides by 12
x = (25*2)/(6*2)
x = 25/6
x = (24+1)/6
x = 24/6 + 1/6
x = 4 + 1/6
x = 4 & 1/6 which shows why <u>choice B</u> is the answer.
Side note: 25/6 = 4.167 approximately
The question is find the equation, in the function and standard notations, that represent the amount spent in the range of 0 to 5 rides.
Constant cost: $30
Independent variable, number of rides: r
Variable cost: $2r
Total spend, s(r): 30 + 2r
Function: s(r) = 30 + 2r, for 0 ≤r ≤ 5 ----- this is the function notation
Standard form: s(r) is the dependent variable = s
s = 30 + 2r => s - 2r = 30 =>
s + (-2)r = 30, for 0 ≤ r ≤ 5 ------ this is the standard form
Given:
Rectangle inside a circle.
To find:
The area of the shaded region.
Solution:
Length of a rectangle = 3 cm
Width of a rectangle = 3 cm
Area of a rectangle = length × width
= 3 × 3
Area of a rectangle = 9 cm²
Radius of a circle = 4 cm
Area of a circle = πr²
= 3.15 × 4²
Area of a circle = 50.24 cm²
Area of shaded region = Area of circle - Area of rectangle
= 50.24 - 9
= 41.24 cm²
The area of the shaded region is 41.24 cm².
