Answer:
The total number of feet travelled by the motorcycle is 396 feet
Step-by-step explanation:
Using the constant speed relationship with the distance:
v = s/t
From the above equation the distance travelled will be:
s = v * t (i)
We are given with the v, that is:
v = 45 miles per hour
Converting in to feet per second.
v = (45 * 5280)/3600 feet / s
v = 66 feet per second
Now, put that v and t in equation (i)
s = 66 * 6
s = 396 feet
Answer:
100
Step-by-step explanation:
We have the sum of first n terms of an AP,
Sn = n/2 [2a+(n−1)d]
Given,
36= 6/2 [2a+(6−1)d]
12=2a+5d ---------(1)
256= 16/2 [2a+(16−1)d]
32=2a+15d ---------(2)
Subtracting, (1) from (2)
32−12=2a+15d−(2a+5d)
20=10d ⟹d=2
Substituting for d in (1),
12=2a+5(2)=2(a+5)
6=a+5 ⟹a=1
∴ The sum of first 10 terms of an AP,
S10 = 10/2 [2(1)+(10−1)2]
S10 =5[2+18]
S10 =100
This is the sum of the first 10 terms.
Hope it will help.
Answer:
2(n + 3) - 6 is the expression that represents the final number.
Step-by-step explanation:
Answer: 
Step-by-step explanation:
Given: The number of bacteria, B, in a refrigerated food is given by the function 
, where t is the temperature of food in degrees Fahrenheit.
The function 
gives the temperature, t, of the food h hours after being removed from the refrigerator.
Now, the number bacteria in the food in h hours is given by:-
So, The number bacteria in the food in h hours is given by:
Answer:
x=11
Step-by-step explanation:
complimentary means the two angles add to 90. Since we already know one angle equals 68, subtract 68 from 90= 22. 2x=22. divide 22 by 2 to isolate the variable. Boom, the answer is x=11
