If is a factor of
, then
is a root of
.
Therefore
Two hot-air balloons, one red and one blue, took off at the same time from different platforms. Each began ascending at a consta
nt rate. The following equation gives the height (in meters) of the red hot-air balloon as a function of time (in seconds). h=1/2t+4 The height (in meters) of the blue hot-air balloon as a function of time (in seconds) is given by the following table of values: (Table is attached) Which balloon started at a greater height? A. The red balloon B. The blue balloon C. They are both the same height
1 answer:
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Answer:
And rounded up we have that n=1068
Step-by-step explanation:
We have the following info given:
the confidence level desired
represent the margin of error desired
The margin of error for the proportion interval is given by this formula:
(a)
The confidence level is 95% or 0.95, the significance is and the critical value for this case using the normal standard distribution would be
Since we don't have prior information we can use as an unbiased estimator
Also we know that and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=1068
The picture in the attached figure
we know that
Area of circle=pi*r²
area of the shaded region=364*pi cm²
area of the shaded region=area of the outer circle -area of the<span> inside circle
</span>area of the outer circle=pi*[2x]²----> 4*x²*pi cm²
area of the inside circle=pi*6²------> 36*pi cm²
364*pi=4*x²*pi-36*pi------> 364=4*x²-36
4*x²=364+36-----> 4*x²=400
x²=400/4----> x²=100
x=10 cm
the answer is
x=10 cm
we know that
Area of circle=pi*r²
area of the shaded region=364*pi cm²
area of the shaded region=area of the outer circle -area of the<span> inside circle
</span>area of the outer circle=pi*[2x]²----> 4*x²*pi cm²
area of the inside circle=pi*6²------> 36*pi cm²
364*pi=4*x²*pi-36*pi------> 364=4*x²-36
4*x²=364+36-----> 4*x²=400
x²=400/4----> x²=100
x=10 cm
the answer is
x=10 cm
Answer:
Step-by-step explanation:
Exponential growth function is
Where 'a' is the initial population
r is the rate of growth and x is the time period in years
a steady population of 32,000. So initial population is 32,000
an increase of 8% per year. the rate of increase is 8% that is 0.08
a= 32000 and r= 0.08
Plug in all the values in the general equation