Answer:
Speed of Carol is 78 mph and that of Steve is 84 mph.
Step-by-step explanation:
Let the speed of Carol is x mph and that of Steve is (x + 6) mph.
If they move towards each other with that speed, then the resultant speed will be (x + x + 6) = (2x + 6) mph
With this resultant speed, they cover 405 miles in 2.5 hours.
So,
⇒ 2x = 156
⇒ x = 78 mph
So, speed of Carol is 78 mph and that of Steve is (78 + 6) = 84 mph. (Answer)
Answer:
- exponential
- linear
Step-by-step explanation:
1. Any time you see "half-life", "doubling time", "compound interest", "change proportional to quantity", or similar, the model is exponential.
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2. The differences from one term to the next are -3.5. When differences are constant, the function is linear.
Answer:
1058.4 in^2
Step-by-step explanation:
Find the surface areas of the rectangular prism and the triangular prisms separately.
Triangular: S = (1/2)lP+B, where l is slant height, P perimeter, and B base area.
14(4)= 56 perimeter of base
13 slant height
B = 14x14 = 196
put together:
S = (1/2)(13 x 56) + 196
S = 560 in^2
Now the rectangular prism
S = 2lw + 2lh + 2wh, where l is length, h height, w width. (delete the first 2lw since they share one side/they're combined shapes.
S = 2(14x8.9) + 2(14x8.9)
S = 498.4 in^2
Add them together: 498.4 + 560 = 1058.4 in^2