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2 years ago

A bicycle wheel with a radius of 12 inches makes 5.2 revolutions per second. what is the speed of the bicycle

1 answer:

7 0

πr^2
π x 12^2 = 452.3
452.3 * 5.2(RPS) = 2352.4
Conversion from inches p/s to mph
2352.4ip/s = 2.23mph.

Hope this helps.

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Can I get help solving this graph please?

Daniel [21]

see the attached figure with the letters

1) find m(x) in the interval A,B
A (0,100) B(50,40) -------------- > p=(y2-y1(/(x2-x1)=(40-100)/(50-0)=-6/5
m=px+b---------- > 100=(-6/5)*0 +b------------- > b=100
mAB=(-6/5)x+100

2) find m(x) in the interval B,C
B(50,40) C(100,100) -------------- > p=(y2-y1(/(x2-x1)=(100-40)/(100-50)=6/5
m=px+b---------- > 40=(6/5)*50 +b------------- > b=-20
mBC=(6/5)x-20

3) find n(x) in the interval A,B
A (0,0) B(50,60) -------------- > p=(y2-y1(/(x2-x1)=(60)/(50)=6/5
n=px+b---------- > 0=(6/5)*0 +b------------- > b=0
nAB=(6/5)x

4) find n(x) in the interval B,C
B(50,60) C(100,90) -------------- > p=(y2-y1(/(x2-x1)=(90-60)/(100-50)=3/5
n=px+b---------- > 60=(3/5)*50 +b------------- > b=30
nBC=(3/5)x+30

5) find h(x) = n(m(x)) in the interval A,B
mAB=(-6/5)x+100
nAB=(6/5)x
then
n(m(x))=(6/5)*[(-6/5)x+100]=(-36/25)x+120
h(x)=(-36/25)x+120
find h'(x)
h'(x)=-36/25=-1.44

6) find h(x) = n(m(x)) in the interval B,C
mBC=(6/5)x-20
nBC=(3/5)x+30
then
n(m(x))=(3/5)*[(6/5)x-20]+30 =(18/25)x-12+30=(18/25)x+18
h(x)=(18/25)x+18
find h'(x)
h'(x)=18/25=0.72

for the interval (A,B) h'(x)=-1.44
for the interval (B,C) h'(x)= 0.72

 h'(x) = 1.44 ------------ > not exist

8 0

2 years ago

PLZ HELP ASAP AND SHOW UR WORK!!!! THE ≤. WITHOUT THE LINE IN THE BOTTOM

Marina86 [1]

Answer:

Step-by-step explanation:

$\frac{2}{3}x +6$

subtract 6 from both sides

$\frac{2}{3}x$

divide by 2/3(or multiply by 3/2)

$x$

and thats your answer

3 0

3 years ago

Each member of Mark’s school band sold the same number of tickets to their concert.

shepuryov [24]

13, because 442/34 is 13 meaning each person sold an equal amount

6 0

3 years ago

2x+5y=60 2x-5y=-20 Please show work!

sergejj [24]

(2x+5y=60)
- (2x-5y=-20)
-------------------
10y=80
y=8

2x+5(8)=60
2x+40=60
2x=20
x=10

8 0

3 years ago

( LETS SEE IF YOUR SMART )

ratelena [41]

Answer:

$6\leq x\leq 12$

Step-by-step explanation:

First we have to write down what it says in the question in as an expression. So we know that there is already 3 people on Britany's team (herself and the two friends), that in order to participate in the league you will need at least 9 players, and that the team can have a maximum of 15 player. So....

Let "x" be the number of people who decided to join Britany and her friends

Let "y" be the total number of people on Britanie's team, then .....

3 + x = y

Now we need to remember that in order to participate in the league you will need at least 9 players, and that the team can have a maximum of 15 player. We can write that down as......

$9\leq y\leq 15$

Now from this we know that the minimum value that x would need to take in order for Brittany's team to participate can be found by solving 3 + x = 9. The maximum value that x would need to take in order for Brittany's team to participate can be found by solving 3 + x = 15. And so we get.....

Minimum value:

3 + x = 9

x = 9 -3

x = 6

Maximum value:

3 + x = 15

x = 15 - 3

x = 12

Now we know that x will be equal to any integer between 6 and 12 so

$6\leq x\leq 12$

4 0

3 years ago