Question

the approximate diameter of four microorganisms are shown in the table. microorganism poliovirus corn pollen spanish moss pollen epstein - barr virus approximate diameter (centimeters) 3×10^(-6) 9×10^(-3) 3×10^(-2) 1.5×10^(-5) which statements correctly compare the approximate diameters of the microorganisms. choose all that apply. a. the diameter of an epstein - barr virus is about 5 times as large as the diameter of a poliovirus. b. the diameter of a poliovirus is about 4 times as large as the diameter of spanish moss pollen. c. the diameter of corn pollen is about 30 times as large as the diameter of spanish moss pollen. d. the diameter of corn pollen is about 300 times as large as the diameter of a poliovirus. e. the diameter of corn pollen is about 600 times as large as the diameter of an epstein - barr virus. what is the value of (9.1×10^(-3))-(3.7×10^(-4))? a. 5.4×10^(-4) b. 5.4×10^(-3) c. 8.73×10^(-4) d. 8.73×10^(-3)

Explanation:

Step1: Identify the diameters in scientific - notation

Polio - virus diameter: $d_1 = 3\times10^{-6}$ cm, Corn pollen diameter: $d_2 = 9\times10^{-3}$ cm, Spanish moss pollen diameter: $d_3 = 3\times10^{-2}$ cm, Epstein - Barr virus diameter: $d_4 = 1.5\times10^{-5}$ cm.

Step2: Check option A

Calculate $\frac{d_4}{d_1}=\frac{1.5\times 10^{-5}}{3\times10^{-6}}=\frac{1.5}{3}\times10^{-5 + 6}=0.5\times10 = 5$. So the diameter of an Epstein - Barr virus is about 5 times as large as the diameter of a poliovirus. Option A is correct.

Step3: Check option B

Calculate $\frac{d_1}{d_3}=\frac{3\times10^{-6}}{3\times10^{-2}} = 1\times10^{-6+2}=10^{-4}
eq4$. Option B is incorrect.

Step4: Check option C

Calculate $\frac{d_2}{d_3}=\frac{9\times10^{-3}}{3\times10^{-2}}=\frac{9}{3}\times10^{-3 + 2}=3\times10^{-1}=0.3
eq30$. Option C is incorrect.

Step5: Check option D

Calculate $\frac{d_2}{d_1}=\frac{9\times10^{-3}}{3\times10^{-6}}=\frac{9}{3}\times10^{-3+6}=3\times10^{3}=3000
eq300$. Option D is incorrect.

Step6: Check option E

Calculate $\frac{d_2}{d_4}=\frac{9\times10^{-3}}{1.5\times10^{-5}}=\frac{9}{1.5}\times10^{-3 + 5}=6\times10^{2}=600$. So the diameter of corn pollen is about 600 times as large as the diameter of an Epstein - Barr virus. Option E is correct.

Step7: Solve $(9.1\times10^{-3})-(3.7\times10^{-4})$

Rewrite $9.1\times10^{-3}$ as $91\times10^{-4}$. Then $(91\times10^{-4})-(3.7\times10^{-4})=(91 - 3.7)\times10^{-4}=87.3\times10^{-4}=8.73\times10^{-3}$.

Answer:

For the first part: A. The diameter of an Epstein - Barr virus is about 5 times as large as the diameter of a poliovirus; E. The diameter of corn pollen is about 600 times as large as the diameter of an Epstein - Barr virus.
For the second part: D. $8.73\times10^{-3}$