Answer: Y = -y - 12
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It will take 8 seconds for all of the dominoes to fall over.
This will be an exponential function. To find the growth rate, we can write out the terms of the sequence that goes along with it: 10, 20, 40, ...
"Growth rate" is the same as percent of increase or decrease. We find the amount of increase and divide by the original amount: 20-10 = 10 increase; 10/10 = 1.
The exponential function is of the form
f(x) = a*(1+r)ˣ, where a is the initial value (10), r is the growth rate (1), and x is the number of time periods. Using the variables given to us in the problem along with this information, we have:

Divide both sides by 10:

We will use logarithms to solve this:
9514 1404 393
Answer:
- surface area: 456 cm²
- volume: 408 cm³
Step-by-step explanation:
The surface area of the figure is the total of the areas of the two triangular bases and the three rectangular faces.
SA = 2(1/2)(8 cm)(6 cm) + (17 cm)(6 cm + 8 cm + 10 cm)
= 48 cm² + 408 cm²
SA = 456 cm²
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The volume is the product of the area of the triangular base and the length of the prism.
V = (1/2)(8 cm)(6 cm)×(17 cm) = (24 cm²)(17 cm)
V = 408 cm³