The complete question is
A colony of <span>2^120 bacteria occupies a total volume of </span><span>1.3 x 10^15 m^3. The surface area of a planet is approximately 5.42 x 10^14 m^2. </span>
<span>Complete parts (a) and (b) below. </span>
<span>a) Assume that the bacteria are distributed uniformly over the planet's surface. How deep would the bacterial layer be? (You can find the approximate depth by dividing the bacteria volume by the planet's surface area.) </span>
<span>____m </span>
<span>b) Would the bacteria be knee-deep, more than knee-deep, or less than knee-deep? </span>
<span>A. The bacteria would be less than knee-deep. </span>
<span>B. The bacteria would be more than knee-deep. </span>
<span>C. The bacteria would be knee-deep. </span>
<span>D. It depends on the height of the person
</span>
Part a)
Find the approximate depth
<span>= (bacteria volume / planet surface area) </span>
<span>= (1.3 x 10^15 m³) / (5.42 x 10^14 m²) </span>
<span>= 2.4 m
</span>
the answer Part a) is
2.4 m
Part b)
No information is given about the height of the 'people' on this planet, and hence we cannot guess at their average knee height.
<span>2.4 meters is about 7.9 feet. That is obviously above the knee for any human, but. again, the question does not explicitly state that we are talking about Earth and humans
</span>
therefore
the answer part b) is the option
D. It depends on the height of the person
The area of the kite in the picture is 5m
Answer:
اhello : tan θ = - 12/5
Step-by-step explanation:
tan θ = sin θ / cos θ .... (*)
(cosθ)² + (sinθ)² = 1 ... (**)
theta is in quadrant 2 : cosθ ≤ 0
Substitute sinθ = 12/13 into (**) and solve for cosθ :
(cosθ)² + (12/13)² = 1
(cosθ)² = 1 - 144/169
(cosθ)² = 25/169
cosθ = - 5 /13 because cosθ ≤ 0
by (*) : tan θ = (12/13)/ (-5/13) = (12/13) ×(-13/5)
tan θ = - 12/5
Answer:
x = - 4 , x = 
Step-by-step explanation:
given 2x² + 7x = 4
rearrange into standard form : ax² + bx + c = 0 : a ≠ 0
subtract 4 from both sides
2x² + 7x - 4 = 0 ← in standard form
Consider the product of the factors of the coefficient of the x² term and the constant term which sum to give the coefficient of the x term, that is
product = 2 × - 4 = - 8 and sum = + 7
The factors are + 8 and - 1
use these factors to split the middle term
2x² + 8x - x - 4 = 0 ( factor by grouping first/second and third/fourth terms )
2x(x + 4) - 1(x + 4) = 0 ( take out the common factor (x + 4) )
(x + 4)(2x - 1) = 0
equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
2x - 1 = 0 ⇒ 2x = 1 ⇒ x =
Answer:
471.24
Step-by-step explanation:
The formula for circumference is 2×pi×r. Replace the r with 75 and multiply.
