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STatiana [176]
3 years ago
14

What is the exact value of the expression √72 - √8 + √128? Simplify if possible.

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0
√72 can be written as 3√8 , √128 as 4√8.. Here, we have to solve √72 -√8 +√128 .. i.e, 3√8 - √8 + 4√8.. which is equal to 6√8 or can be written as 12√2 //
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Half-life of Po-210 is 140 days. If the initial mass of the sample is 5
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Answer:

0.625kg

Step-by-step explanation:

we are given half-life of PO-210 and the initial mass

we want to figure out the remaining mass <u>after</u><u> </u><u>4</u><u>2</u><u>0</u><u> </u><u>days</u><u> </u>

in order to solve so we can consider the half-life formula given by

\displaystyle f(t) = a {0.5}^{t/T}

where:

  • f(t) is the remaining quantity of a substance after time t has elapsed.
  • a is the initial quantity of this substance.
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since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5

thus substitute:

\displaystyle f(420)=5\cdot{0.5}^{420/140}

reduce fraction:

\displaystyle f(420)=5\cdot{0.5}^{3}

By using calculator we acquire:

\displaystyle f(420)=0.625

hence, the remaining sample after 420 days is 0.625 kg

4 0
3 years ago
If an object is dropped from a height of 96ft, the function h(t) = -62 + 96 gives the height of the object after t seconds. When
Shalnov [3]

Answer:

Step-by-step explanation:Since we want to know how much time elapsed since the object was launched until it ht the ground. At the ground, the height is 0.

 

Therefore the equation  h(t) = 80t – 16t2 becomes 0= 80t – 16t2

 

Solving the equation for t gives  80t =16t2 or 16t=80 or t=5sec

 

The object hits the ground 5 seconds after it is launched.

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The common factor is 1.
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