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tatyana61 [14]
3 years ago
13

Given the expression (8 + 6i) − (−2 + 7i), perform the indicated operation and write the answer in the form a + bi

Mathematics
1 answer:
Oliga [24]3 years ago
6 0
We can distribute the negative to get 8 + 6i + 2 - 7i, and we can simplify that to get 10 - i.
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Hope this helps!
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The amount y (in grams) of the radioactive isotope fermium-253 remaining after t hours is y=a(0.5)t/72, where a is the initial a
almond37 [142]

Answer:

Per hour decay of the isotope is 0.96%.

Step-by-step explanation:

Amount of radioactive element remaining after t hours is represented by

y=a(0.5)^{\frac{t}{72}}

where a = initial amount

t = duration of decay (in hours)

Amount remaining after 1 hour will be,

y=a(0.5)^{\frac{1}{72} }

y = 0.9904a

So amount of decay in one hour = a - 0.9904a

                                                      = 0.0096a gms

Percentage decay every hour = \frac{\text{Amount of decay}}{\text{Initial amount}}\times 100

                                                  = \frac{0.0096a}{a}\times 100

                                                  = 0.958 %

                                                  ≈ 0.96 %

Therefore, per hour decay of the radioactive isotope is 0.96%.

7 0
3 years ago
If it takes Mr. French 22 min to get to school in the morning and he is traveling at a rate of 100 m per min how far is his hous
Nimfa-mama [501]

Answer:

220 m

Step-by-step explanation:

since it takes him 22 min, and each min he travels 100 m, you just have to multiply 22 by 100

22 x 100 = 220

3 0
3 years ago
The slope of a given line is shown below. Find the slope of a line parallel to the given line and the slope of a line perpendicu
Sphinxa [80]

Answer:

The slope of a line parallel to the given line = 5

The slope of a line perpendicular to the given line = - 1/5

Step-by-step explanation:

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Jenny missed 7 problems on the 120 point test
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KonstantinChe [14]

(10y - 4) + (7y + 8) + (7y - 5) + (4y - 5) =

= 10y - 4 + 7y + 8 + 7y - 5 + 4y - 5 =

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3 years ago
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