3/(5 - 6i)
To simplify this, we need to multiply both sides by the conjugate of the denominator, which is 5 + 6i
3(5 + 6i)
Distributive property.
15 + 18i
(5 - 6i)(5 + 6i)
25 + 30i - 30i - 36i^2
25 - 36i^2
i^2 = -1
25 + 36
61
<h3><u>The simplified expression is (15/61) + (18i/61).</u></h3>
We know that 60 minutes = 1 hour and 1 mile = 5280 feet. We just need to multiply and simplify:
651 miles/hour = 651 *5280/60 feet/minutes = 651*88 feet/minutes = 57288 feet/minutes
Answer:
slope = - 6
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 15 = - 6(x + 7) ← is in point- slope form
with slope m = - 6
Answer:
81 times the original size
Step-by-step explanation:
AA0ktA=3A0=?=?=25hours=A0ekt
Substitute the values in the formula.
3A0=A0ek⋅25
Solve for k. Divide each side by A0.
3A0A0=e25k
Take the natural log of each side.
ln3=lne25k
Use the power property.
ln3=25klne
Simplify.
ln3=25k
Divide each side by 25.
ln325=k
Approximate the answer.
k≈0.044
We use this rate of growth to predict the number of bacteria there will be in 100 hours.
AA0ktA=3A0=?=ln325=100hours=A0ekt
Substitute in the values.
A=A0eln325⋅100
Evaluate.
A=81A0
At this rate of growth, we can expect the population to be 81 times as large as the original population.
a. She divided the fraction strip into 8 parts
b. she converted 3.4 into a fraction with a numerator of 6.
c. she erased one eighths of the shaded area