Mathematics, 14.07.2019 17:00 DJEMPGYT

What is the value of the expression 2 point 8 multiplied by 10 to the power of 7 over 1 point 4 multiplied by 10 to the power of 3? 2.0 ⋅ 104 2.0 ⋅ 1010 1.4 ⋅ 104 1.4 ⋅ 1010

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Your answer would be 2.0 × 10⁴.

We can first write out the fraction to make it easier to see how to get the

$\frac{2.8 \: \times \: {10}^{7} }{1.4 \: \times \: {10}^{3} }$

Because all terms in the numerator and denominator are being multiplied, we can just divide each term individually, which gives us:

2.8 ÷ 1.4 = 2
${10}^{7}\div \: {10}^{3} = \: {10}^{4}$

We know that this is true as the rule for dividing exponents with the same base is to subtract them, and 7 - 3 = 4.

Putting these two results together, we get the answer of 2.0 × 10⁴.

I hope this helps!

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

Answer from: Quest

all group life insurance is term insurance. actually it is annual renewable term and it is rated on the average age and claims experience of the entire group, which is called "experience rating." remember, this type of insurance has a 31-day grace period and is convertible to whole life upon leaving employment. a contributory group plan requires that both the employer and the employees pay part of the premium. at least 75% of those eligible must participate, so the group is sure to get most of the healthy employees as well as those that are sick.

step-by-step explanation:

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