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liubo4ka [24]
3 years ago
12

[8-(-12)]÷(2x-2)-(-8)

Mathematics
1 answer:
WITCHER [35]3 years ago
6 0

Answer:

3

Step-by-step explanation:

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There are 70,000 bacteria present in a culture. An antibiotic is introduced to the culture and the number of bacteria is reduced
Harlamova29_29 [7]

Answer:

24 hours after the antibiotic is introduced, the number of bacteria in the culture is reduced to 1093; The amount of bacteria present in the culture during the 24 hours after the antibiotic is introduced is an example of exponential decay; The function B(x) = 70000(0.5)ˣ, where x represents the number of 4 hour periods, represents the amount of bacteria present after the antibiotic is introduced.

Step-by-step explanation:

In any situation where an amount grows or declines by a set percent every time period can be represented using an exponential function.  Since the amount of bacteria is reduced by half, or 50%, every 4 hours, this is exponential decay.

Exponential functions such as this are of the form

y = a(1+r)ˣ, where a represents the initial population, r is the percent of growth or decrease, and x is the number of time periods.  In this situation, the initial population, a, is 70000.  Since the number of bacteria decreases by half, r = -0.50.  This gives us

y = 70000(1+-0.50)ˣ, or y = 70000(0.50)ˣ.

In 24 hours, there are 6 4-hour periods.  This means x = 6; this gives us

y = 70000(0.50)⁶ = 1093.75.

6 0
3 years ago
For rhombus LMNO, m∠LON = 102° and NP = 5 units. Use the diagram of rhombus LMNO to find the missing measures. The measure of ∠L
aivan3 [116]
LPM = 90

PMN = 51

LN = 10
8 0
3 years ago
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Rewrite the following statement in the form ∀x ______, if _______ then _______ (where each of the second two blanks are senten
Bumek [7]

Answer:

"Vx: if x is a valid argument with true premises then x has a true conclusion"

In a symbol form

Vx ( P(x) ⇒ 2(x) )

Step-by-step explanation:

The Following statement in the form  âˆ€x ______, if _______ then _______ is a valid argument and this because any valid argument with "true premises" has a "true conclusion" as well

we will rewrite this statement in a universal condition statement form

assume x is a valid argument with true premises

then the following holds true

p(x) : x is a valid argument with true premises

q(x) : x has true conclusion

applying universal conditional statement

"Vx, if x is a valid argument with true premises then x has a true conclusion"

In a symbol form

Vx ( P(x) ⇒ 2(x) )

7 0
2 years ago
One method of slowing the growth of an insect population without using pesticides is to introduce into the population a number o
mezya [45]

Answer:

I don't know while not enquire from others

8 0
2 years ago
The Movie Haven is planning to order new medium-size popcorn containers. It has a choice of four different containers. It costs
murzikaleks [220]

Answer:

the answer is container c

b=11.14in2

12in

Step-by-step explanation:

6 0
3 years ago
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