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amid [387]
4 years ago
12

A person in a rowboat two miles from the nearest point on a straight shoreline wishes to reach a house six miles farther down th

e shore. if the person can row at a rate of 3 mi/h and walk at a rate of 5 mi/h, find the least amount of time required to reach the house. how far from the house should the person land the rowboat?

Mathematics
1 answer:
DanielleElmas [232]4 years ago
6 0
To solve this problem, we know that time it takes the person to travel at distance is given by t = distance / rate .So in the attached file, you can see the step by step solution for this problem.
And the answer for this question is: The person should walk 6 - 1.5 miles or 4.5 miles along the shore

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velikii [3]

This function is Exponential

 

  • Reason:  Exponential graphs tend to get very big quickly, and though they start out smaller than polynomial functions or vice versa

Hope that helps!

4 0
3 years ago
5,342 round to hundred<br> place value
tester [92]
This is what you have to do 5,342 / 100 = 53.42
8 0
4 years ago
Read 2 more answers
The equation C = 5 9 F − 160 9 gives the relation between temperature readings in Celsius and Fahrenheit.
Pavel [41]

Step-by-step explanation:

The question is wrong. The correct equation is :

C=\frac{5}{9}F-\frac{160}{9}

We know that the equation gives the relation  between temperature readings in Celsius and Fahrenheit.

Therefore, giving that we know the value in Fahrenheit ''F'' we can find the reading in Celsius ''C''. This define a function C(F) that depends of the variable ''F''.

So for the incise (a) we answer Yes, C is a function of F.

For (b) we need to find the mathematical domain of this function. Giving that we haven't got any mathematical restriction, the mathematical domain of the function are all real numbers.

Dom (C) = ( - ∞ , + ∞)

For (c) we know that the water in liquid state and at normal atmospheric pressure exists between 0 and 100 Celsius.

Therefore the range will be

Rang (C) = (0,100)

Now, we need to find the domain for this range. We do this by equaliting and finding the value for the variable ''F'' :

For C = 0 :

0=\frac{5}{9}F-\frac{160}{9} ⇒ F=32

And for C = 100 :

100=\frac{5}{9}F-\frac{160}{9} ⇒ F=212

Therefore, the domain as relating temperatures of water in its liquid state is

Dom (C) = (32,212)

For (d) we only need to replace in the equation by F=71 and find the value of C ⇒

C=\frac{5}{9}F-\frac{160}{9} ⇒

C=(\frac{5}{9})(71)-\frac{160}{9}

C=\frac{65}{3} ≅ 21.67

C(71) = 21.67 °C

4 0
3 years ago
Is <img src="https://tex.z-dn.net/?f=2%5E%7B-3%7D" id="TexFormula1" title="2^{-3}" alt="2^{-3}" align="absmiddle" class="latex-f
TEA [102]

Answer:

Rational

Step-by-step explanation:

2^{-3} simplifies to \frac{1}{8}.

Therefore, it is rational.

2^{-3}\\\\\text {Apply negative exponent rule: } a^{-n} = \frac{1}{a^n} \\2^{-3}= \frac{1}{2^3}\\ \rightarrow 2^3 = 2*2*2=8\\\boxed{2^{-3}=\frac{1}{8}}

<em>Brainliest Appreciated. </em>

5 0
3 years ago
Identify the solution(s) of the system of equations, if any:<br>x+4y=4<br> 6x-8y=0 
Cerrena [4.2K]
I hope that is was helpful to you

7 0
4 years ago
Read 2 more answers
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