The population of the bacteria after 8 hours is 1639 bacteria.
An exponential function is given by:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population of bacteria after x hours.
Given that he starts his experiment with 500 bacteria, hence
a = 500
The bacteria grow at a rate of 16% per hour, hence:
b = 100% + 16% = 1.16
The exponential equation becomes:
y = 500(1.16)ˣ
After 8 hours:
y = 500(1.16)⁸ = 1639
The population of the bacteria after 8 hours is 1639 bacteria.
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We're going to assume that x = # of days.
Plug 12 in as x:
4 × 12 = 48
48 + 6 = 54
They produced 54 boats in 12 days.
Answer:
a. Inscribed angle = <WXY
b. Minor arc = arc(XY)
c. VWX
d. m(VWX) = 180°
e. m<VUW = 110°
Step-by-step explanation:
a. The angle, <WXY has its vertex on the circumference of the circle. Therefore, it can be referred to as an inscribed angle of the circle with center U.
Inscribed angle = <WXY
b. Arc(XY) is a minor arc because it is smaller than half of circle with center U.
Minor arc = arc(XY)
c. A semicircle is half of a full rotation for a circle. From the diagram, a semicircle is VWX
d. m(VWX) = Half the rotation of a full circle = 180°
e. m<VUW = arc(VW) (measure of central angle = measure of arc)
m<VUW = 110° (Substitution)
Answer:
C
Step-by-step explanation:
Since all the graphs have the same line, you’re just looking for the correct shaded region. Since for both equations you want the shaded region to be less than the line, answer c solves the inequality.
