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3 years ago

A car was traveling 35 miles per hour for a number of hours.

Mathematics

1 answer:

Firlakuza [10]3 years ago

5 0

Answer:

how much hours and where is it going.

Step-by-step explanation:

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Find the value of x³+ y³ + z³ – 3xyz if x² + y² + z² = 83 and x + y + z = 15

raketka [301]

identity used is

x³ + y³+ z³– 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx).

then use

(x+y+z)² = x²+y²+z²+2(xy+yz+xz)

225= 83 + 2(xy+yz+xz)

xy+yz+xz = (225-83)/2

xy+yz+xz= 142/2

xy+yz+xz= 71

now use identity

x³ + y³+ z³– 3xyz = (x + y + z) (x² + y² + z² – xy – yz – zx).

now

x³ + y³+ z³– 3xyz = 15 (83 – xy – yz – zx).

= 15[83 - (71)]

= 15×12

=180

4 0

3 years ago

Please help me with precalculus??<br>linear and angular speed

Anit [1.1K]

13)

there are 2π radians in 1 revolution, and there are 60 seconds in 1 minute, so keeping that in mind, then,

$\bf \cfrac{4\underline{\pi} }{5~\underline{s}}\cdot \cfrac{rev}{2\underline{\pi} }\cdot \cfrac{60~\underline{s}}{min}\implies \cfrac{4\cdot 60~rev}{5\cdot 2~min}\implies \cfrac{240~rev}{10~min}\implies 24\frac{rev}{min}$

14)

$\bf \textit{linear velocity}\\\\
v=rw\quad 
\begin{cases}
r=radius\\
w=angular~speed\\
----------\\
v=32\frac{m}{sec}\\
w=100\frac{rev}{min}
\end{cases}\\\\
-------------------------------\\\\
\textit{let's convert \underline{w} to }\frac{radians}{sec}$

$\bf \cfrac{100~\underline{rev}}{\underline{min}}\cdot \cfrac{2\pi }{\underline{rev}}\cdot \cfrac{\underline{min}}{60~sec}\implies \cfrac{100\cdot 2\pi }{60~sec}\implies \cfrac{10\pi }{3~sec}\implies \cfrac{10\pi }{3}\frac{radians}{sec}\\\\
-------------------------------\\\\
v=rw\implies \cfrac{v}{w}=r\implies \cfrac{\frac{30~m}{sec}}{\frac{10\pi }{3~sec}}\implies r=\cfrac{30~m}{\underline{sec}}\cdot \cfrac{3~\underline{sec}}{10\pi }
\\\\\\
r=\cfrac{90}{10\pi }m$

15)

what is the radians per seconds "w" in revolutions per minute? just another conversion like in 13)

$\bf \cfrac{\underline{\pi} }{3~\underline{sec}}\cdot \cfrac{rev}{2\underline{\pi }}\cdot \cfrac{60~\underline{sec}}{min}\implies \cfrac{60 ~rev}{3\cdot 2 ~min}\implies \cfrac{60 ~rev}{6 ~min}\implies 10\frac{rev}{min}$

4 0

4 years ago

What is 2+2 I just wanted to give some points

Arturiano [62]

2+2 is 4 hahaha ty i appreciate the free points

4 0

3 years ago

Read 2 more answers

The graph represents the distance in miles, y that Car A travels in x minutes. The function y =

dusya [7]

<h2>Explanation:</h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. Here you have provided neither the graph nor the equation, so I could help you providing my own graph and equation. From physics, we know that speed, time and distance are related in the following form:

$distance=speed \times time \\ \\ \\ If: \\ \\ d:distance \\ v:speed \\ t:time \\ \\ \\ Then: \\ \\ d=vt$

So $v$ is the slope of a line that passes through the origin where $d$ matches the y-axis and $t$ matches the x-axis. So we can write:

$y=mx \\ \\ \\ y\rightarrow d \\ \\ m\rightarrow v \\ \\ x\rightarrow t$

From the graph, we can know that:

$y=40x \\ \\ \\ \text{Because the slope is:} \\ \\ m=\frac{40-0}{1-0}=40$

And the equation that I provide is:

$y=60x$

If both speeds are given in mi/h, then by comparing them, we can say that <em>the speed (rate) of the first car (graph) is 20mi/h less than the speed of the second car (equation)</em>

8 0

3 years ago

PLEASE HELP ME....ASAP

olchik [2.2K]

Answer:

1681 for area of <em>rectangle</em>

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3 years ago