Cindy did an experiment. She started out with 600 bacteria cells. She found that the growth rate of the bacteria cells was 4.1%. Create an equation for the situation that would work for any time, x. Pls Help thx
Answers
Answer: P(t) = 600*(1.041)^t.
Step-by-step explanation:
An exponential growth can be written as:
P(t) = A*(1 + r)^t
Where:
A = initial population = 600
r = rate of growth in decimals = 4.1%/100% = 0.041.
t = number of units of time.
Now we have a problem, we know that the growth rate is 4.1 %, but we do not know in which time units are we working.
Because is not the same if the bacteria grows a 4.1% in one day, than if the bacteria grows a 4.1% in a hour.
But that does not matter for the actual equation, because we can just define "t" as the time (like the question asks) and the equation will be:
P(t) = 600*(1 + 0.041)^t
P(t) = 600*(1.041)^t.
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How many solutions does the following equation have (6x +12) =-18
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Which of the following is an arithmetic sequence?A. -4,-2, 0, 2, ...B. -8, -4,-2, -1, ...C.-4, -3, -1, 2, ...D. -4, 0, -4, 0, ...
Which of the following correctly identifies the set of outputs?
{(5,-2), (1, -1), (-2, 2), (2,5)}
{(-2,5), (-1, 1), (2,-2), (5, 2)}
{-2,-1,2,5)
{-2, 1, 2,5)
Answers
Answer:
the second answer
Step-by-step explanation:
it goes from x to y from graphing points
B-240cm
C-225cm
D “Not here”
Answers
Answer: 120 sq in.
Step-by-step explanation:
Answers
The total area of the covered box is 108 square feet.
We have the specifications of the box -
length (L) = 4 ft
width (B) = 3 ft
height (H) = 6 ft
We have to find the total area of the box.
What is the formula to calculate the total surface area of a cuboid ?
The total surface area will be -
A = 2(LB + BH + LH)
Using the formula above, we get -
A = 2(4 x 3 + 3 x 6 + 4 x 6)
A = 2(12 + 18 + 24)
A = 2 x 54
A = 108 square feet
Hence, the total area of the covered box is 108 square feet.
To solve more questions on surface area, visit the following link -
#SPJ5
The top and bottom will be 4 x 3 = 12 sq ft.
2 sides each 4 x 6 = 24 x 2 = 48 sq ft.
2 sides each 3 x 6 = 18 x 2 = 36 sq ft.
Area = 24 + 36 + 48 sq ft = 108 sq ft.
Answers
140% × number = 14
(140% =
1.4 × n = 14
Divide by 1.4 to isolate n
1.4 and 1.4 cancels out
n = 10
140% of 10 is 14
Check:
1.4 × 10 = 14
14 = 14
B.)sin -1 y/100
c.)tan -1 y/100
D.)cos -1 100/y
E.)sin -1 100/y
Answers
Answer: Hello there! The correct answer is A.
If the bird flies 100 yards with an angle of elevation of x from the ground, then you could think this as a tringle rectangle, where the hypotenuse is 100 yards, the opposite cathetus is sin(x)*100 and this represents the height at which the bird dropped the fish, not really useful here.
The adjacent cathetus us 100*cos(x), in this case, you are calculating the displacement adjacent to them (because the angle is with respect to the ground) and knowing that the fish lands in a translated y yards horizontally we could write: y = cos(x)*100
now we want to isolate x:
y/100 = cos(x)
arcos(y/100) = arcos(cos(x)) = x
x = arcos(y/100) (or cos-1(y/100) like in the option A)
then, knowing the value of y, we could obtain the angle x with that equation.
b.) 2/9
c.) 3/8
d.) 4/7
Answers
Answer: The correct option is (C)
Step-by-step explanation: We are given to select the fraction that converts to a terminating decimal number.
(a) The first fraction is
We have
Since this decimal is non-terminating, so this option is NOT correct.
(b) The second fraction is
We have
Since this fraction is non-terminating, so this option is NOT correct.
(c) The second fraction is
We have
Since this fraction is terminating, so this option is CORRECT.
(d) The second fraction is
We have
Since this fraction is non-terminating, so this option is NOT correct.
Thus, option (C) is CORRECT.
1/6 = 1.66 (with a line over the 66 because it does not end)
2/9 = 0.22 (with a line over the 22 because it does not end)
3/8 = 0.375
4/7 = 0.571428 (with a line over 571428 because it does not end)
so ur answer is : 3/8