Answer:
126 people
Step-by-step explanation:
Given that, ratio of people who preferred tea to those who preferred coffee = 9:5
Let number of people who preferred coffee = x
Number of people who preferred tea = x + 36
Total number of people in survey = x + (x+36)
Ratio of people who preferred tea to those who preferred coffee = (x + 36)/x = 9/5
Cross multiply to solve for x
5(x + 36) = x(9)
5x + 180 = 9x
Subtract 5x from both sides
180 = 9x - 5x
180 = 4x
Divide both sides by 4
180/4 = x
45 = x
x = 45
<em>Number of people who preferred coffee = x = 45</em>
<em>Number of people who preferred tea = x + 36 = 45 + 36 = 81</em>
<em>Total number of people in the survey = x + (x + 36) = 45 + 81 = 126 people</em>
Answer: 376.8 cm^2
Step-by-step explanation:
The formula for the surface area of a cylinder is A = 2prh +2pr^2
When:
- A = surface area
- p = value of pi (3.14 in this case)
- r = radius (= 1/2 diameter)
- h = height
When we substitute our values, we get the equation
A = 2(3.14)(4)(11) + 2(3.14)(4^2)
Now, we just multiply, square, and add our numbers to find A
A = 2(3.14)(4)(11) + 2(3.14)(4^2)
A = 2(3.14)(44) + 2(3.14)(16)
A = (6.28)(44) + (6.28)(16)
A = 276.32 + 100.48
A = 376.80
Because the hundredths place is a 0, we don't need to round.
A = 376.8
The unit is in centimeters. Area, and surface area by extent, are written in cm^2 (centimeters squared)
A = 376. 8 cm^2
<h3>Final answer: A = 376.8 cm^2</h3>
Answer:
Step-by-step explanation:
Decay of carbon - 14 is exponential in nature . It decays as follows .
λ is called decay constant .
λ = .693 / T where T is half life .
Half life of carbon-14 is 5700 years
λ = .693 / T
= .693 / 5700
= 12.158 x 10⁻⁵ year⁻¹
N = .71 N₀
Taking ln on both sides
ln .71 = - λ t
ln .71 = - 12.158 x 10⁻⁵ t
-0.3425 = - 12.158 x 10⁻⁵ t
t = .3425 / 12.158 x 10⁻⁵
2817 years .
If the line is parallel they will have the same slope
Answer:
x axis
Step-by-step explanation:
