Answer:
1. false
2. false
3. true
4. true
5. true
6. false
Step-by-step explanation:
1. The value of the first expression when t = 3 is not equal to the value of the second expression when t = 3.
2. The value of the first expression when t = 7 is not equal to the value of the second expression when t = 7.
3. The value of both expressions when t = 3 is 30.
4. The value of both expressions when t = 7 is 54.
5. The expressions are equivalent.
6. The expressions are not equivalent.
6t + 12 = 6(t + 2)
6(3) + 12 =6((3) + 2)
18 + 12 = 6(5)
30 = 30
6(7) + 12 = 6((7) + 2)
42 + 12 = 6(9)
54 = 54
Answer:
4: A
Step-by-step explanation:
Mathematically, the average speed over a particular range will be;
f’(b)-f’(a)/(a-b)
In this case; a = 2 and b = 10
So we have the following;
f’(x) = 4t + 1
f’(10) = 4(10) + 1 = 41
f’(2) = 4(2) + 1 = 9
So we have the average speed change as;
(41-9)/(10-2)
= 32/8 = 4
Answer:
3x3x12= volume of large prism= 108
1x1x12= volume of hole= 12
(Volume of prism)-(volume of hole)= 96
Step-by-step explanation:
(180-14):2= 166:2= 83° (smaller angle)
(180-14):2+14= 166:2+14= 83+14= 97° (bigger angle)
C. formula
I hope this helps, thank you.