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Ede4ka [16]
3 years ago
8

Since their introduction, the number of toy building blocks that have been sold is equivalent to a population of approximately 2

billion people owning 43 blocks each. About how many blocks have been sold since their introduction? Please help!!!
Mathematics
1 answer:
KengaRu [80]3 years ago
4 0

Answer: 86 billion blocks

Step-by-step explanation:

Here, the total population is 2 billion,

Since, the blocks a person owe = 43

Thus,  

\text{ the blocks 2 billion people owe}= \text{ the block a person owe}\times \text{the total population}

= 43 \times 2

= 86\text{ bilion}

Therefore, total blocks that sold their introduction = 86 billion.

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3 years ago
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nata0808 [166]

Answer:

1125 m

Step-by-step explanation:

Given equation:

h=-5t^2+150t

where:

  • h = height (in metres)
  • t = time (in seconds)

<u>Method 1</u>

Rewrite the equation in vertex form by completing the square:

h=-5t^2+150t

\implies h=-5t^2+150t-1125+1125

\implies h=-5(t^2-30t+225)+1125

\implies h=-5(t-15)^2+1125

The vertex (15, 1125) is the turning point of the parabola (minimum or maximum point).  As the leading coefficient of the given equation is negative, the parabola opens downward, and so vertex is the maximum point.  Therefore, the maximum height is the y-value of the vertex: 1125 metres.

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Differentiate the function:

\implies \dfrac{dh}{dt}=-10t+150

Set it to zero and solve for t:

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Therefore, the maximum height is 1125 metres.

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