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AVprozaik [17]
3 years ago
8

The function q(w) = 3+5(w-1) represents the number of quarters in a bowl on week w. What does the value 5 represent in the situa

tion?
A. There were 5 quarters in the bowl on week 1.

B. The value of the quarters in the bowl on week 1 was &5.

C. Five quarters are added to the bowl every week

D. Quarters were added to his bowl for 5 weeks
Mathematics
1 answer:
Zepler [3.9K]3 years ago
6 0
The value of quarters in the bowl on week 1 was &5
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So the car is moving at 651 revolutions per minute, with wheels of a radius of 18inches

so, one revolution, is just one go-around a circle, and thus 2π, 651 revolutions is just 2π * 651, or 1302π, the wheels are moving at that "angular velocity"

now, what's the linear velocity, namely, the arc covered per minute

well   \bf v=rw\qquad 
\begin{cases}
v=\textit{linear velocity}\\
r=radius\\
w=\textit{angular velocity}\\
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r=18in\\
w=1302\frac{\pi }{min}
\end{cases}\implies v=18in\cdot \cfrac{1302\pi }{min}
\\\\\\
v=\cfrac{23436\pi\ in}{min}

now, how much is that in miles/hrs?  well
let's keep in mind that, there are 12inches in 1foot, and 5280ft in 1mile, whilst 60mins in 1hr

thus   \bf \cfrac{23436\pi\ in}{min}\cdot \cfrac{ft}{12in}\cdot \cfrac{mi}{5280ft}\cdot \cfrac{60min}{hr}\implies \cfrac{23436\cdot \pi \cdot 60\ mi}{12\cdot 5280\ hr}

notice, after all the units cancellations, you're only left with mi/hrs
4 0
3 years ago
To prove triangles similar, we only need to prove corresponding angles congruent OR corresponding sides are proportional. Howeve
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we can proove by ASA congruence or SAS congruence rule

6 0
3 years ago
Is 10,070 more than 70+10,000
jeka57 [31]

Answer:

No they are equal

Step-by-step explanation:

6 0
3 years ago
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If sine of the quantity x plus y end quantity equals one half times sine of x plus radical 3 over 2 times cosine of x. What is t
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The value of y from the given trig expression is pi/3 rad

<h3>Trigonometry identity</h3>

These identities are expressed in terms of sine, cosine and tangent

Given the expression

sin(x+y)=\frac{1}{2}sinx+\frac{\sqrt{3}}{2} cosx


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sin(x+y) = sinxcosy + cosxsiny

Compare both equations

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y = arccos(1/2)

y = 60 degrees

y = pi/3 rad

Hence the value of y from the given trig expression is pi/3 rad

Learn more on trig function here: brainly.com/question/24349828

#SPJ1

8 0
2 years ago
Find the distance between the points (10, 12) and (10, -8).<br> units
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pt1= (10,12)

pt2= (10,-8)

_________________

distance = √ (x1 - x2)² + (y2 - y1)²

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=√ (0)² + (-20)²

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=√400

=20 units

3 0
3 years ago
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