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3 years ago

Evaluate the function

Mathematics

1 answer:

Sedaia [141]3 years ago

4 0

$f(0) = {4}^{3 \times 0 + 3} = {4}^{0 + 3} = {4}^{3} = 64$
The answer is above.
Additional note 1:
${4}^{3} = 4 \times 4 \times 4 = 16 \times 4 = 64$
Additional note 2:
In the answer I filled in "0" at the place where "n" was. This is because the question tells us n=0

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3 years ago

How do you do series with an n

SOVA2 [1]

The problem can be solved step by step, if we know certain basic rules of summation. Following rules assume summation limits are identical.
$\sum{a+b}=\sum{a}+\sum{b}$
$\sum{kx}=k\sum{x}$
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Armed with the above rules, we can split up the summation into simple terms:
$\sum_{r=1}^n{40r-21n+8}=n$
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2 years ago

A concert hall has three sections: the main floor, the balcony, and the gallery. For a recent concert, 1020 tickets were sold. T

Angelina_Jolie [31]

Answer:

Let the number of balcony seats be b

Let the number of gallery tickets be g

Let the number of main floor tickets be m

b + g + m = 1020

b = 2g

m = b + 225

The number of balcony tickets = 318

The number of gallery tickets = 159

The number of main floor tickets = 543

Step-by-step explanation:

Let the number of balcony seats be b

Let the number of gallery tickets be g

Let the number of main floor tickets be m

i) Therefore we can write b + g + m = 1020

ii) there were twice as many balcony tickets sold as gallery tickets

therefore b = 2g $\Rightarrow$ g = 0.5b

iii) there were 225 more main floor tickets than balcony tickets

therefore m = b + 225

iv) using equation ii) and equation iii) in equation i) we can write

b + g + m = b + 0.5b + b + 225 = 1020 $\Rightarrow$ 2.5b = 795 $\Rightarrow$ b = 318

v) g = 0.5 b = 0.5 $\times$ 318 = 159

vi) m = b + 225 = 318 + 225 = 543

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3 years ago

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