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Orlov [11]
2 years ago
15

Which equation should be used to calculate the 43rd partial sum for the arithmetic sequence.

Mathematics
1 answer:
MariettaO [177]2 years ago
6 0

Answer: First Option : Sₙ= n/2(a₁ + aₙ)

Step-by-step explanation:

The nth partial sum of an arithmetic sequence or the sum of the first n terms of the arithmetic series can be defined as the sum of a finite number of term in an arithmetic sequence.

It is calculated using the formula:

Sₙ= n/2(a₁ + aₙ)

Where :

a₁ = First term

aₙ = last term

n = number of terms

You might be interested in
The mean age of 11 women in an office is 31 years old.
BlackZzzverrR [31]

Answer: 30.2

Explanation:

The mean is calculated by taking the sum of the values and dividing by the count.

For instance, for the 6 women, with the mean being 31, we can see that the ages summed to 186:

186

6

=

31

And we can do the same for the men:

116

4

=

29

And now we can combine the sum and count of the men and women to find the mean for the office:

186

+

116

10

=

302

10

=

30.2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
8. Sam packed 15 boxes in 5 days. Dylan packed 60 boxes 4 weeks and 2 days. Who packed the most
kogti [31]

Answer:

sam did the most

Step-by-step explanation:

let's find box packed per day

sam - 15 boxes in 5 days

so 3 boxes in 1 day

Dylan - 60 boxes in 4 weeks and 2 days

that is 60 in 30 days

that will make 2 boxes in 1 day

4 0
2 years ago
An opinion poll asks a random sample of adults whether they favor banning ownership of handguns by private citizens. A commentat
andreev551 [17]

Answer:

(b) H0: p = 0.5; Ha: p > 0.5

Step-by-step explanation:

p represents the population proportion.

A null hypothesis is a statement from the population parameter which is either rejected or accepted (fail to reject) upon testing. It is expressed using the equality sign.

An alternate hypothesis is also a statement from the population parameter which negates the null hypothesis and is accepted if the null hypothesis is rejected. It is expressed using any of the inequality signs.

3 0
3 years ago
One root of f(x) = 2x3 9x2 7x – 6 is –3. explain how to find the factors of the polynomial.
m_a_m_a [10]
<span>We have the following polynomial:

f(x)=2x^{3}+9x^{2}+7x-6

The problem states that one root is -3. Thus, it is true that (x+3) is a factor of the polynomial. Given that this is fulfilled, it is also true that:

</span>f(x)=(x+3)Q(x) \therefore Q(x)=\frac{f(x)}{x+3} \\ \\ where \ Q(x) \ has \ a \ degree \ of \ 2<span>

We can find Q(x) by applying Ruffini's rule, thus:

</span>\ \ \ \ \ \ \ \ \ \ \ \ 2 \ \ \ \ \ \ \ 9 \ \ \ \ \ \ \ \ 7 \ \ \ \ \ \ -6  \\ -3 \\ \rule{50mm}{0.1mm} \\ \ {} \ \ \ \ \ \ \ \ \ \ \ \ 2 \ \ \ \ \ \ \ 3 \ \ \ \ \ -2 \ \ \ \ \ \ \ \ 0<span>

Therefore:

Q(x)=2x^{2}+3x-2

The roots of this polynomial can be get as follows:

x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \rightarrow x_{12}=\frac{-3\pm\sqrt{3^2-4(2)(-2)}}{2(2)}\\x_{1}=\frac{1}{2};\ x_{2}=-2

These are the roots along with -3. Finally, the factored polynomial can be written as follows:

f(x)=(x+3)(x+2)(2x-1)</span>
4 0
4 years ago
Read 2 more answers
Please help! The answer D in the image below is incorrect!
daser333 [38]
It is C. I did the Math.
Hope I helped!
3 0
3 years ago
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