The prompt says that the value at n is equal to 2 times the previous value.
-1, -2, -4, -8, -16, -32
Answer:
y = 7 - 2x
Step-by-step explanation:
Note that:
y = height of the candle
x = hours
The candle starts at 7 inches, and can only grow smaller as it is burnt. It also burns in a constant 2 inches per hour. Note that it is "2 inches per hour, or 2 * h (h = hour). It is also burning, or taking away, from the original, or 7. Therefore, y = 7 - 2x is your answer.
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Answer:
18c - 30d + 36
Step-by-step explanation:
To apply the distributive property, we must "distribute" (multiply) the outer term by the terms in the parentheses. In this case, the outer term is 6, and the inner terms are 3c, 5d, and 6. Then, if there's any like terms, you must combine them.
6(3c - 5d + 6)
(6 · 3c) + (6 · -5d) + (6 · 6)
18c + -30d + 36
As you can see, there's no like terms in this expression, so the equivalent expression to 6(3c - 5d + 6) is <u>18c + -30d + 36</u>.
Answer:
B. 74
Step-by-step explanation:
The surface area is just the area of the two triangular bases plus the area of the three rectangular sides.
Area of a triangle = (1/2)bh, where b is the base and h is the height. Here, b = 4 and h = 3.5. So: (1/2) * 4 * 3.5 = 7. However, we have two triangles, so we multiply 7 by 2: 7 * 2 = 14.
Area of a rectangle = bh, where b is the base and h is the height. Here, b = 5 and h = 4. So: 5 * 4 = 20. However, there are three rectangles, so we multiply 20 by 3: 20 * 3 = 60.
Now, we just add these together: 14 + 60 = 74.
Thus, the answer is B.
Hope this helps!
