1. Which expression is equivalent to −2.1+(−5.9)+(−3.7) ?
2 answers:
Answer:
1. Option b)
2. Option b)
3. Associative property
4. Commutative property
5. -43
Step-by-step explanation:
1. We are given the expression:
Now, if we take minus common from the last two terms, then, the expression would be of the form:
Hence, the given expression is equivalent to option b)
2. We are given the expression:
Now, if we rearrange the terms in the expression, then, the expression would be of the form:
Hence, the given expression is equivalent to option b)
3. The property mentioned here is the associative property.
4. The property mentioned here is the commutative property.
5.
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I suppose you mean
Differentiate one term at a time.
Rewrite the first term as
Then the product rule says
Then with the power and chain rules,
Simplify this a bit by factoring out :
For the second term, recall that
Then by the chain rule,
So we have
and we can simplify this by factoring out to end up with
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