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zvonat [6]
4 years ago
12

Which expression is equivalent to 1/4m+ 3/4m-3/8(m+1)

Mathematics
1 answer:
snow_lady [41]4 years ago
8 0

Answer:

5/8m-3/8

Step-by-step explanation:

1/4m+3/4m-3/8(m+1)

4/4m-3/8m-3/8

8/8m-3/8m-3/8

5/8m-3/8

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The radius of the tires of a car is 18 inches, and they are revolving at the rate of 651 revolutions per minute. How fast is the
Mumz [18]
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}\\
----------\\
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
3x+4+5x+10 simplify combining like terms
saveliy_v [14]

Answer:

\Large \boxed{8x+14}

Step-by-step explanation:

3x+4+5x+10

Grouping the like terms.

(3x + 5x) + (4+10)

Combining the like terms.

8x+14

8 0
4 years ago
Read 2 more answers
the earths diameter through the equator is about 8,000 what is the earths estimated diameter written as a whole number multiplie
Sauron [17]

Answer:

To write 8000 miles in scientific notation, first find a natural number between 1 and 10.     (8)  

Now, figure out how many decimal places we have to move to the left.

8000.0 --> 8.0000        (Three )

Now, write the number 8 multiplied by 10 to the third power.

( 8 × 10^3 miles )

Step-by-step explanation:

7 0
3 years ago
Sarah is doing research on the average age of first-year resident physicians. She wants her estimate to be accurate to within 1
WINSTONCH [101]

Answer: The number of first-year residents she must survey to be 95% confident= 263

Step-by-step explanation:

When population standard deviation (\sigma)  is known and margin of error(E) is given, then the minimum sample size (n) is given by :-

n=(\dfrac{z^*\sigma}{E})^2, z* = Two-tailed critical value for the given confidence interval.

For 95% confidence level , z* = 1.96

As, \sigma = 8.265, E = 1

So, n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}]

Hence, the number of first-year residents she must survey to be 95% confident= 263

7 0
3 years ago
240,000 rounded to the nearest hundred thousand is
In-s [12.5K]

<em>ANSWER: </em>

<h2> 200,000 </h2>

<em>STEP: </em>

So, the hundred thousand is the "2" in this situation. Since 5 or more rounds up, and 4 or down stays, we stay with the 2. Therefore, the answer is 200,000

6 0
4 years ago
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