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Free_Kalibri [48]
3 years ago
5

Simplify the expression. 6w+8−4w−1

Mathematics
1 answer:
IrinaVladis [17]3 years ago
4 0
Combine like terms
6w - 4w and 8 - 1
Final answer: 2w - 7
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Can some also explain it to me how to identify if it’s continuous exponential
sweet-ann [11.9K]
B is the correct answer


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8 0
3 years ago
This robotic arm is made up of two cylinders with equal volume and two triangular prism hands. The volume of each hand is
BaLLatris [955]

Answer:

\frac{r}{3\pi h+r}

Step-by-step explanation:

Since the height isn't given, we assume it to be "h" (of cylinders). And the answer will be in terms of "r" and "h".

The area of 1 arm is given, so the area of 2 arms would be:

A_{arm}=2*(\frac{1}{2}r*\frac{1}{3}r*2r)=\frac{2r^3}{3}

Now, area of 2 cylinders would be the formula:

A_{cyl}=2*(\pi r^2 h)=2\pi r^2 h

So, total area is A_arm PLUS A_cyl. The fractional area the arms are would be gotten by taking expression A_arm  divided  by A_total.

Shown below:

\frac{A_{arm}}{A_{total}}=\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}

We simplify further:

\frac{\frac{2r^3}{3}}{2\pi r^2 h + \frac{2r^3}{3}}\\=\frac{\frac{2r^3}{3}}{2r^2(\pi h + \frac{r}{3})}\\=\frac{r}{3(\pi h + \frac{r}{3})}\\=\frac{r}{3\pi h+r}

THis is the answer.

6 0
3 years ago
Read 2 more answers
Make r the subject of the formula t=r/r-3
trapecia [35]

Answer:

r = t(r-3)

Step-by-step explanation:

t = r/r-3

r/r-3 = t

r = t x (r-3)

6 0
3 years ago
12 men working 8 hours a day complete a piece of work in 10 days to complete a the same work in 8 days working 15 hours a days t
daser333 [38]

12 men : 8 hours : 10 days


// Find if every man works 1 hour

12 x 8 men : 1 hour : 10 days

96 men : 1 hour : 10 days


//Find if every man works 15 hours

96 ÷ 15 men : 15 hours : 10 days

6.4 men : 15 hours : 10 days


//Find if every man works 1 day

6.4 x 10 men : 15 hours : 1 day

64 men : 15 hours : 1 day


//Find if every man works 8 days

64 ÷ 8 men : 15 hours : 8 days

8 men : 15 hours : 8 days


Answer: 8 men is needed

5 0
3 years ago
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zavuch27 [327]

Answer:

If you are rounding to the nearest tens the smallest number is 45. If you are rounding to the nearest whole number, the smallest number is 49.5

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2 years ago
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