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3 years ago

Evaluate the geometric series below. Please show your work.

Mathematics

1 answer:

lesya692 [45]3 years ago

4 0

Answer:

-1310715

Step-by-step explanation:

By the formula of a geometric sequence, we work out:

$\sum_{k=1}^{18} -5 \cdot 2^{k-1}\\= -5 \cdot \sum_{k=0}^{17} 2^{k}\\= -5 \cdot \frac{2^{18}-1}{2-1}\\= -1310715$

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75° b Arrange the three side lengths in increasing order. 350 c [?]

Virty [35]

Answer:

a < b < c

Step-by-step explanation:

The side opposite the larger angle measure is the longer side.

The side opposite the smallest angle measure is the shortest side.

The sum of the three angles = 180° ; (75° + 35° + ? = 180°). The missing angle is 70°

The angles in order from the smallest to the largest:

35° < 70° < 75°

The side for the shortest to the largest

side opposite 35° is a

side opposite 70° is b

side opposite 75° is c

Answer a < b < c

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2 years ago

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Which linear function has the steepest slope? On a coordinate plane, a line goes through points (0, 3) and (4, 2). y = negative

ExtremeBDS [4]

Answer:

Its d or option 4

Step-by-step explanation:

A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 4, 6, 8. Column 2 is labeled y with entries negative 4, negative 12, negative 20, negative 28. Hope this helps :)

7 0

3 years ago

Read 2 more answers

Which pairs are like terms in expression 2/5y + 1/5x - 0.2y - 6 + (-2)

Gelneren [198K]

The pair of like terms are:

$\frac{2}{5}y \text{ and } -0.2y$

Solution:

Given expression is:

$\frac{2}{5}y + \frac{1}{5}x -0.2y-6+(-2)$

We have to find the pairs that are like terms in the given expression

Like terms means that, terms that have same varibale but different ( or same ) coefficients

Here in the given expression "x" and "y" are the two variables present

Arrange the like terms

$\frac{2}{5}y-0.2y+\frac{1}{5}x-6+(-2)$

So here the first two terms has same varibale "y" but different coefficients. So they form a pair of like terms

"x" is present only once . There is no other term with variable "x"

6 and -2 are constants

So the pair of like terms are: $\frac{2}{5}y \text{ and } -0.2y$

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3 years ago

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Fofino [41]

MN and OL would both have a slope of 2.

You can find this by finding the slope perpendicular to the slope of LM, which is -1/2.
To find the perpendicular slope, find the negative reciprocal. Reciprocal= 2/-1. Then find the negative of -2/1, which is 2/1 or 2.

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3 years ago

PLZ HELP SOLVE: -4 < k + 3 < 8

vaieri [72.5K]

Hope this was what you’re looking for ^.^

(If correct, if you don’t mind can you please mark me as the brainliest, it’s okay if not)

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4 years ago