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lakkis [162]
3 years ago
8

10 POINTS

Mathematics
1 answer:
hoa [83]3 years ago
7 0
It would be “going up a steady rate through the origin”
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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}\\\\&#10;v=rw\quad &#10;\begin{cases}&#10;r=radius\\&#10;w=angular~speed\\&#10;----------\\&#10;v=32\frac{m}{sec}\\&#10;w=100\frac{rev}{min}&#10;\end{cases}\\\\&#10;-------------------------------\\\\&#10;\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}\\\\&#10;-------------------------------\\\\&#10;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 }&#10;\\\\\\&#10;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
You are making cupcakes and the recipe specifies 6 small eggs for every 27 cupcakes. You need to make 36 cupcakes. How many smal
astra-53 [7]
For every egg you can make 4.5 cupcakes so you will need 8 small eggs because 8 times 4.5 equals 36
6 0
3 years ago
After deducting 10% provident fund a married person draws Rs 40,500 salary per month and one month's salary as festival bonus, t
olasank [31]

The  annual income tax paid by the person is: $4,500.

<h3>Annual income tax</h3>

Using this formula

Annual income tax=[Salary÷(1-percentage deduction)]- Salary

Let plug in the formula

Annual income tax=[40,500÷(1-10%)]-40,500

Annual income tax=45,000-40,500

Annual income tax=4500

Therefore the  annual income tax paid by the person is: $4,500.

Learn more about annual income tax here:brainly.com/question/26316390

#SPJ1

6 0
2 years ago
What are the coordinates<br> Y = 6x +11<br> 2y-4x=14
Marizza181 [45]
2(6x+11)-4x=14
12x+22-4x=14
8x=-8
x=-1

y=6(-1)+11
y=5

(-1,5)
5 0
3 years ago
The straight line 3y = 5x + h - 6 intersect the x-axis at 4k, where h and k are constants. explain h in terms of k
inn [45]

When a function intersects with the x-axis, it's y value must be 0. That means when the straight line intersects with the axis, it's at the point (4k,0), so plugging those numbers into our original equation yields:

0=20k+h-6 \implies\\ 6=20k+h \implies \\ 6-20k=h

3 0
3 years ago
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