Which shows the expression below in simplified form? (5.9 × 10^1) - (2.8 × 10^4) a. 5.872 × 10^1 b. 5.8972 × 10^1 c. 5.8972 × 10^2 d. 5.872 × 10^2

The simplified form of the difference ...

... (5.9×10¹) - (2.8×10⁴)

is ....

... 59 - 28,000 = -27941

... = -2.7941×10⁴

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For the problem given here, no answer choice is correct.

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Comment on the problem

When none of the choices comes even close, I like to recommend you ask your teacher to show you how to work this problem. In most cases, the teacher will recognize the error in the question or answer choices.

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4