Answer:
The linear speed in which Darlene is traveling is 24.74 miles per hour.
Step-by-step explanation:
The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed (
), measured in inches per second, is defined by following expression:
(1)
Where:
- Radius of the wheel, measured in inches.
- Angular speed, measured in radians per second.
If we know that 
and 
, then the linear speed, measured in miles per hour, in which Darlene is traveling is:
The linear speed in which Darlene is traveling is 24.74 miles per hour.
Answer:
0.343
Step by step explanation:
0. 3 4 3
8 2. 7 5 0
− 0
2 7
− 2 4
3 5
− 3 2
3 0
− 2 4
6
1) The average increase in the level of CO2 emissions per year from years 2 to 4 is:
Average=[f(4)-f(2)]/(4-2)=(29,172.15-26,460)/2=2,712.15/2=1,356.075 metric tons. The first is false.
2) The average increase in the level of CO2 emissions per year from years 6 to 8 is:
Average=[f(8)-f(6)]/(8-6)=(35,458.93-32,162.29)/2=3,296.64/2=1,648.32 metric tons. The second is false.
3) The average increase in the level of CO2 emissions per year from years 4 to 6 is:
Average=[f(6)-f(4)]/(6-4)=(32,162.29-29,172.15)/2=2,990.14/2=1,495.07 metric tons. The third is false.
4) The average increase in the level of CO2 emissions per year from years 8 to 10 is:
Average=[f(10)-f(8)]/(10-8)=(39,093.47-35,458.93)/2=3,634.54/2=1,817.27 metric tons. The fourth is true.
Answer: Fourth option: The average increase in the level of CO2 emissions per year from years 8 to 10 is 1,817.27 metric tons.
4 / 1 = 1 / x....4 miles to 1 hr = 1 miles = x hrs
cross multiply
4x = 1
x = 1/4.....it would take 1/4 of an hr (or 15 minutes) to walk 1 mile
Answer:
Step-by-step explanation:
to compare them, we need to convert them into like fractions
4/3 and 5/2
lcm of 3 and 2 is 6
4/3 × 2/2 = 8/6
5/2 × 3/3 = 15/6
15/6 is greater than 8/6
<em><u>so 5/2 is greater than 4/3</u></em>
similarly,
-3/2 and -4/5
we need to convert them into like fractions
lcm of 2 and 5 is 10
-3/2 × 5/5 = -15/10
-4/5 × 2/2 = -8/10
-8/10 is greater than -15/10
<u><em>so -4/5 is greater than -3/2</em></u>
Hope this helps
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