Answer:
Common ratio = 1/2 and first term = 384
or common ratio = -1/2 and first term = -384.
Step-by-step explanation:
T6/T4 = r^5 / r^3 where r = the common ratio and T6 and T4 are 6th and 4th terms
r^5 / r^3 = 12/48
r^2 = 1/4
so r = +/- 1/2.
The 4th term = a r^3 where a = first term.
If r = 1/2:-
48 = a *(1/2)^3 = a/8
a = 8*48
= 384.
if r = -1/2, then a = -384
F ( x ) = a cos ( b ( x - c ) ) + d
Apmlitude: a = ( 12 - 52 ) / 2 = -40 / 2 = - 20
If the curve takes 6.25 hours from the low to the high tide them it will take 12.50 hours to complete a full cycle.
The period: b = 2π/12.5 ;
c = 9.25; d = 12 + 20 = 32;
Answer:
f ( x ) = - 20 cos ( 2π/12.5 ·( x - 9.25 ) ) + 32 =
= - 20 cos ( 0.5024 ( x - 9.25 ) ) +32
The paper company needs to ship paper to a large printing business. The paper will be
62.5 mg sample will remain after 240 days
Step-by-step explanation:
Given
Half-life = T = 60 days
The formula for calculating the quantity after n half lives is given by:
Here
N is the final amount
N_0 is the initial amount
n is the number of half lives passed
The number of half lives are calculated by dividing the time for which the remaining quantity has to be found by half life
The quantity has to be calculated for 240 days so,
Given
Putting the values in the formula
Hence,
62.5 mg sample will remain after 240 days
Keywords: Half-life, sample
Learn more about half-life at:
#LearnwithBrainly
Hello :
<span>2x+3y=6
3y = - 2x +6
y = (-2/3)x +2
</span>the slope is : (-2/3)
the y- intercept when : x = 0 : y = (-2/3)(0) +2 = 2
