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oksano4ka [1.4K]
3 years ago
6

Tell whether −2 is a solution of the inequality. 8−2x<12

Mathematics
1 answer:
kolbaska11 [484]3 years ago
5 0

Answer:

No

Step-by-step explanation:

8−2x<12

Subtract 2 from each side

8-8−2x<12-8

-2x <4

Divide each side by -2, remembering to flip the inequality

-2x/-2 >4/-2

x > -2

Is -2 a solution

-2 >-2

This is false, it is equal

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You have 42,784 grams of a radioactive kind of curium. If its half-life is 18 years, how much will be left after 72 years?
s344n2d4d5 [400]

Answer:

2,674.14 g

Step-by-step explanation:

Recall that the formula for radioactive decay is

N = N₀ e^(-λt)

where,

N is the amount left at time t

N₀ is the initial amount when t=0, (given as 42,784 g)

λ = coefficient of radioactive decay

  = 0.693 ÷ Half Life

  = 0.693 ÷ 18

  = 0.0385

t = time elapsed (given as 72 years)

e = exponential constant ( approx 2.7183)

If we substitute these into our equation:

N = N₀ e^(-λt)

= (42,787) (2.7183)^[(-0.0385)(72)]

= (42,787) (2.7183)^(-2.7726)

=  (42,787) (0.0625)

= 2,674.14 g

6 0
3 years ago
If Carl takes a pizza with 8 slices and has three friends eat a slice, what fraction of the pizza is left?
murzikaleks [220]
Ok so the wording is confusing

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A. 3 friends took 1 slice each (total is 3 slice) or
B. 3 friends took 1 slice total

if A, go to AAAAAA
if B. to to BBBBB


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BBBBBB
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fraction is parts out of whole
what is left
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taken=1
original=8
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7=left
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if 3 slices taken total then 5/8 left
if 1 slice taken totl then 7/8 left
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Answer and workings are in the attachments below.

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