Mathematics: Describe in one paragraph what you now know about systems of equations!

Step-by-step explanation:1)Rewriting it properly:2) Let s calculate the time (in hours), based on this relation:3) Testing it. We must find something around the half of 28850, due to some rounding in logarithms.4) So, h≈ 2.40 hours or 2 hours 24...

Describe in one paragraph what you now know about

Ответ:

lucyfox8165

08.02.2022

Mathematics

A system of equations is a collection of two or more equations with a same set of unknowns.
The equations in the system can be linear or non linear.
The problem can be expressed in narrative form or the problem can be expressed in algebraic form.

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Ответ:

originalbeast6p2799m

08.01.2023

Mathematics

$h=2.4 hours \: 2hours\:24'$

Step-by-step explanation:

1)Rewriting it properly:

$Q(t)=28850*\left ( \left ( \frac{3}{4}\right )^{h} \right )^{\frac{t}{h}}\, if \left ( \frac{3}{4} \right )^{h}=\frac{1}{2}$

2) Let's calculate the time (in hours), based on this relation:

$\left ( \frac{3}{4} \right )^{h}=\frac{1}{2} \Rightarrow log_{\frac{3}{4}}\frac{1}{2} \Rightarrow h \approx 2.4\: hours$

3) Testing it. We must find something around the half of 28850, due to some rounding in logarithms.

$Q(t)=28850*\left ( \left ( \frac{3}{4}\right )^{h} \right )^{\frac{t}{h}}\, if \left ( \frac{3}{4} \right )^{h}=\frac{1}{2}\Rightarrow h=\\Q(t)=28850(\frac{1}{2})^{\frac{t}{h}}\Rightarrow Q(t)=28850(\frac{1}{2})^{\frac{t}{2.4}}\\28850(\frac{1}{2})^{\frac{t}{2.4}}=14425 \Rightarrow (\frac{1}{2})^{\frac{t}{2.4}}=\frac{14425}{28850}\Rightarrow (\frac{1}{2})^{\frac{t}{2.4}}=\frac{1}{2}\Rightarrow t=2.4\\Q(2.4)=28850*\left ( \left ( \frac{3}{4}\right )^{2.4} \right )^{\frac{2.4}{2.4}}\Rightarrow Q\approx14464$

4) So, h≈ 2.40 hours or 2 hours 24'

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