The average score on a biology test was 72.1 write the average score using a fraction
1 answer:
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The correct answer is C) t₁ = 375, 
.
From the general form,
, we must work backward to find t₁.
The general form is derived from the explicit form, which is
. We can see that r = 5; 5 has the exponent, so that is what is multiplied by every time. This gives us
Using the products of exponents, we can "split up" the exponent:
We know that 5⁻¹ = 1/5, so this gives us
Comparing this to our general form, we see that
Multiplying by 5 on both sides, we get that
t₁ = 75*5 = 375
The recursive formula for a geometric sequence is given by
, while we must state what t₁ is; this gives us
From the general form,
The general form is derived from the explicit form, which is
Using the products of exponents, we can "split up" the exponent:
We know that 5⁻¹ = 1/5, so this gives us
Comparing this to our general form, we see that
Multiplying by 5 on both sides, we get that
t₁ = 75*5 = 375
The recursive formula for a geometric sequence is given by
For this case, the first thing to do is to model the rectangular sandbox as a rectangular prism.
The volume of the prism is given by:
Where,
- <em>w: width </em>
- <em>l: length </em>
- <em>h: height </em>
Therefore, replacing values we have:
We observed that:
Therefore, the sandbox is not completely filled.
Answer:
the sandbox will hold of sand
Jodi purchase is not enough sand to fill the sandbox to the top.