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3 years ago

Question 3. Simplify the following in four steps.

Mathematics

2 answers:

miss Akunina [59]3 years ago

3 0

Answer:

X ¹/₅

Step-by-step explanation:

X ⁷/₁₀

X ¹/₂

apply the exponent rule:

= X ⁷/₁₀ - ¹/₂

= X ¹/₅

podryga [215]3 years ago

3 0

Answer:

$\frac{x {}^{7} }{10} \div x {}^{ \frac{1}{2} }$

$= \frac{x {}^{7} }{10} \times \frac{1}{x {}^{ \frac{1}{2} } }$

$= \frac{x {}^{ \frac{13}{2} } }{10}$

$= \frac{ \sqrt{x {}^{13} } }{10}$

$= \frac{x {}^{6} \sqrt{x} }{10}$

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SashulF [63]

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Step-by-step explanation:

Don't know ur answer make q clear

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Read 2 more answers

This is a Differential Equations problem, I only need help on part 1 from question five. I need steps as well, thank you.

jolli1 [7]

Answer:

a) $y(t) = \sqrt{2t + 1 }$

b) 1.5 hours after thickness will be 2 inches.

Step-by-step explanation:

$\frac{dy}{dt} = \frac{1}{y} \\ \\ ydy = dt \\ \\ integrating \: both \: sides \\ \\ \int y \: dy = \int 1 \: dt \\ \\ \frac{ {y}^{2} }{2} = t + c \\ \\ {y}^{2} = 2t + 2c \\ \\ y (t)= \sqrt{2t + 2c} ...(1) \\ \\ a) \: \: \: plug \: t = 0 \: in \: (1) \\ \\ y (0)= \sqrt{2(0) +2 c} \\ \\ y (0)= \sqrt{0 +2 c} \\ \\ 1 = \sqrt{2c} \: \: ( \because \: y (0)=1) \\ \\ 2c = 1 \: \implies \: c = \frac{1}{2} \\ \\ plug \: c = \frac{1}{2} \: in \: (1) \\ \\ y(t) = \sqrt{2t + 2 \times \frac{1}{2} } \\ \\ \huge \: \red {y(t) = \sqrt{2t + 1 } } \\ \\b) \: \: plug \: y(t) = 2 \: in \: above \: equation \\ \\ 2 = \sqrt{2t + 1} \\ \\ 4 = 2t + 1 \: \\ (squaring \: both \: sides) \\ \\ 4 - 1 = 2t \\ \\ 2t = 3 \\ \\ t = \frac{3}{2} \\ \\ t = 1.5 \: hours \\$

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2 years ago