Trains A and B, 200 km apart on the same straight track, travel at speeds of 50 km/hr and 65 km/hr respectively. At the end of 1
1 answer:
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Answer:
- 8
Step-by-step explanation:
Given the expression
(3x² - 5)(4 + 4x²)
Each term from the second factor is multiplied by every term in the first factor, meaning
3x²(4 + 4x²) - 5(4 + 4x²) ← distribute both parentheses
= 12x² + 12 - 20 - 20x² ← combine like terms
= 12 - 8x² - 20
The coefficient for the x² term is - 8
Answer:
Approximately 59 stacked cups.
Step-by-step explanation:
We have the following measurements:
Height of one cup = 12.5 cm,
Height of two cups stacked = 14 cm,
Height of three cups stacked = 15.5 cm,
...and so on.
This situation can be described by an arithmetic sequence,
12.5, 14, 15.5,....
The first term is defined as a = 12.5,
with a common difference of d = 1.5 cm.
Thus, the height of x stacked cups is given by
As per the problem,
h(x) = 200
⇒ 1.5x + 11 = 200
⇒ 1.5x = 189
⇒ x = 59.3333333333 ≈ 59.
Therefore, you will need approximately 59 stacked cups.
Answer:
The initial goal was $25019.154.
Step by step Explanation:
Assuming the original goal is denoted as x.
As stated
Another Kickstarter initiative for an iPad stylus secured 1,253% of its target, accumulating a total of $313,490.
1253% can be expressed as a decimal.
= 12.53
Thus, the equation is rearranged to
12.53 × x = 313490
12.53x = 313490
x = $ 25019.154
This means the initial goal stands at $25019.154.