Simple ....
we know to find slope is (y1-y2)/(x1-x2)
if we plug in what we know......
(-8,-6),(2,-3)
(-6--3)/(-8-2)
it turns into...
(-6++3)/(-8+-2)
(-3)/(-10)= 3/10
Thus, your answer is that she made no mistake. (C)
Answer:
x = 21
Step-by-step explanation:
(x+6)^1/3 - 5= -2
add 5 to both sides of the equation:
(x+6)^1/3 = 3
cube both sides of the equation:
x + 6 = 27
subtract 6 from each side:
<span>Assuming the reaction is of 1st order, we can
start using the formula for rate of 1st order reaction:</span>
dN / dt = k * N
Rearranging,
dN / N = k dt
Where N = amount of sample, k = rate constant, t = time
Integrating the equation from N = Ni to Nf and t = ti to
tf will result in:
ln (Nf / Ni) = k (tf – ti)
Since k is constant, we can equate to situations.
Situation 1 is triple in size every days, situation 2 is after 20 days.
ln (Nf / Ni) / (tf – ti) = k
ln (3Ni / Ni) / 4 = ln (Nf / 40) / 20
Calculating for Nf,
<span>Nf =
9,720 bacteria </span>
Answer:
47.1 cm
Step-by-step explanation:
The circumference of a circle is denoted by C = 2πr, where r is the radius.
Here, we see that the given radius is 7.5, so r = 7.5 cm. We also are given that we need to use the approximation 3.14 for π, so plug all these into the formula:
C = 2πr
C = 2 * 3.14 * 7.5 = 47.1
To round this to the nearest hundredth... well, there's no hundredth place, so we can leave this as is or just write 47.10 cm.
Thus, the circumference is 47.1 cm.
The probability of obtaining a grid that does not have a 2-by-2 red square 16 2/3%
probability : The probability of an event can be calculated by means of probability formula via honestly dividing the favorable quantity of outcomes by way of the total variety of viable consequences.
<u>Step-by using-step clarification:</u>
<u>given that:</u>
form are both square or circle with both equally likely :
for this reason,
P(square) = half of ; P(circle) = half of
color are either blue, pink or inexperienced with the 3 equally likely ;
P(purple) = 1/3 ; P(green) = 1/three ; P(blue) = 1/three
chance of creating a inexperienced circle :
independent probability
P(green n circle) = p(inexperienced) * p(circle)
P(green n circle) = 1/3 * half of
P(green n circle) = 1/6
= 0.16666
(0.16666 * 100%) = 16.6666%
= 16 2/3%
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