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3 years ago

13

Write the sum using summation notation, assuming the suggested pattern continues. 2 - 8 + 32 - 128 + ...

1 answer:

erma4kov [3.2K]3 years ago

4 0

This is a geometric series with first term 2 and common ratio -4. The general term of such a series (an) in terms of the first term (a1) and common rato (r) is written as
an = a1*r^(n-1)

The sum is the sum of such terms.
$sum=\sum\limits_{n=1}^{\infty}{2(-4)^{(n-1)}}$

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Trigonometry. This is an Tangent question.

spin [16.1K]

Answer:

28/21

Step-by-step explanation:

tan= opposite/adjacent

6 0

3 years ago

Each month, Molly budgets $1450 for fixed expenses, $600 for living expenses, and $340 for annual expenses. Her annual net incom

den301095 [7]

Answer:

surplus of 150$

Step-by-step explanation:

1853.68 + 178. times .249 = ......................owed at the end of the month

1450 +600 + 340 = $2390. * 12= $28 680. annually ..

30480 - 28680 = $1800. surplus at the end of the year divided by 12 = $150.00 monthly surplus

4 0

3 years ago

Read 2 more answers

The heights of the trees in a forest are normally distributed, with a mean of 25 meters and a standard deviation of 6 meters. Wh

Alla [95]

Answer:

2.3%

Step-by-step explanation:

The formula to convert x into z distribution is

$z=\frac{x-\mu}{\sigma}$

Where z is the test statistic

x is what we are looking for (in this case 37)

$\mu$ is the mean (in this case, it is 25)

$\sigma$ is the standard deviation (we have 6)

<em>Plugging these into the formula, we get:</em>

$z=\frac{x-\mu}{\sigma}\\z=\frac{37-25}{6}\\z=2$

Thus we can say we want $P(z\geq 2)$

<u>Note: </u> $P(z\geq a)=1-P(z\leq a)$

The table given is for any z where $P(z\leq a)$

Thus, now we have:

$P(z\geq 2)\\=1-P(z\leq 2)\\=1-0.9772\\=0.0228\\$

0.0228 into percentage is 0.0228 * 100 = 2.28%

Rounded, we get 2.3%

Third answer choice is right.

3 0

3 years ago

150+75x=400+25x<br>For how many hours of service will both companies charge the same amount?

sweet-ann [11.9K]

Just do inverse operation.

7 0

3 years ago

Can you check my answers and help with number 3?

mamaluj [8]

Answer: Question 1 :B,D.

Question 2:option B,

Question 3:Degree=5.

Question 4:option D.

Question 5: option c.

Step-by-step explanation:

1) A polynomial can not have any exponent as a variable or a fraction.

Options B and D are polynomials.

2) The polynomial is having 3 terms and is of degree 3.so it is a cubic trinomial Option B.

3) Degree is the highest power of the variables in the terms .The term $6x^{3} y^{2}$ has the power=3+2=5

So degree =5.

4) $(5x-2+3x^{2} )+(4x+3)=3x^{2} +5x+4x-2+3=3x^{2}+9x+1.$

Option D

5) $(5x^{2} +2x-5)-(3x^{2}+3x+1)= 5x^{2}+2x-5-3 x^{2}-3x-1$

Simplifying like terms,

= $2x^{2}-x-6.$

Option c.

6 0

3 years ago