Answer:
A one-to-one function is a function of which the answers never repeat. For example, the function f(x) = x + 1 is a one-to-one function because it produces a different answer for every input
![\bf (6n-5)^{\frac{1}{2}}+3=-2\\\\ -----------------------------\\\\ a^{\frac{{ n}}{{ m}}} \implies \sqrt[{ m}]{a^{ n}} \qquad \qquad \sqrt[{ m}]{a^{ n}}\implies a^{\frac{{ n}}{{ m}}}\\\\ -----------------------------\\\\ thus \\\\\\ (6n-5)^{\frac{1}{2}}+3=-2\implies \sqrt{6n-5}+3=-2\implies \sqrt{6n-5}=-2-3 \\\\\\ \textit{now squaring both sides} \\\\\\ (\sqrt{6n-5})^2=(-5)^2\implies 6n-5=25\implies 6n=25+5 \\\\\\ n=\cfrac{25+5}{6}](https://tex.z-dn.net/?f=%5Cbf%20%286n-5%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%2B3%3D-2%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0Aa%5E%7B%5Cfrac%7B%7B%20n%7D%7D%7B%7B%20m%7D%7D%7D%20%5Cimplies%20%20%5Csqrt%5B%7B%20m%7D%5D%7Ba%5E%7B%20n%7D%7D%20%5Cqquad%20%5Cqquad%0A%5Csqrt%5B%7B%20m%7D%5D%7Ba%5E%7B%20n%7D%7D%5Cimplies%20a%5E%7B%5Cfrac%7B%7B%20n%7D%7D%7B%7B%20m%7D%7D%7D%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0Athus%0A%5C%5C%5C%5C%5C%5C%0A%286n-5%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%2B3%3D-2%5Cimplies%20%5Csqrt%7B6n-5%7D%2B3%3D-2%5Cimplies%20%5Csqrt%7B6n-5%7D%3D-2-3%0A%5C%5C%5C%5C%5C%5C%0A%5Ctextit%7Bnow%20squaring%20both%20sides%7D%0A%5C%5C%5C%5C%5C%5C%0A%28%5Csqrt%7B6n-5%7D%29%5E2%3D%28-5%29%5E2%5Cimplies%206n-5%3D25%5Cimplies%206n%3D25%2B5%0A%5C%5C%5C%5C%5C%5C%0An%3D%5Ccfrac%7B25%2B5%7D%7B6%7D)
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A] From the diagram given, the gray shape that has been formed by dashed line is rectangular in shape, thus:
The cross section is a rectangle.
b] The area of the cross section will be given by:
A=length*width
length=8 cm
width=6 cm
hence
A=8×6
A=48 cm²
Answer:
259874004351.95
Step-by-step explanation:
diameter = 7,917.5
radius (r) = 7,917.5/2 = 3,958.75
= 259874004351.95
Answer:
4.6.
Step-by-step explanation:
The rocket hits the ground when h(t) = 0. So

Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots
such that
, given by the following formulas:



In this question:

So

Then



Time is a positive measure, so the answer is 4.6.