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3 years ago

Find the sum of the first 7 terms in the following geometric series. 1024+512+256+...

Mathematics

1 answer:

BaLLatris [955]3 years ago

5 0

Answer:

2,032

Step-by-step explanation:

Step 1: Figure out the first 7 terms in this geometric series

1024, 512, 256, 128, 64, 32, 16

Step 2: Add

1024 + 512 + 256 + 128 + 64 + 32 + 16

2,032

Answer: 2,032

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If f(x) = -5-4 and g(x) = -3 -2 find (f-g)(x)

asambeis [7]

Answer:

The correct answer option is D. $-5^x+3x-2$

Step-by-step-explanation:

We are given the following two functions:

$f(x)=-5^x-4$

and

$g(x)= -3x-2$

We are to find $(f-g)(x)$ so we will subtract the function g from function f, arrange the like terms together and combine them like shown below to get:

$(f-g)(x) =(-5^x-4)-(-3x-2)$

$(f-g)(x)=-5^x-4+3x+2$

$(f-g)(x)=-5^x+3x-2$

Therefore, $(f-g)(x)$ is equal to $-5^x+3x-2$ so the correct answer option is D. $-5^x+3x-2$ .

5 0

2 years ago

If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest

lawyer [7]

Answer:

$3.5$

Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, $c^2=a^2+b^2-ab\cos \gamma$ , where $a$ , $b$ , and $c$ are the three sides of the triangle and $\gamma$ is the angle opposite to $c$ .

Let $c$ be the side opposite to the 20 degree angle.

Assign variables:

$a\implies 4$
$b\implies 7$
$\gamma \implies 20^{\circ}$

Substituting these variables, we get:

$c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}$

Therefore, the shortest side of this triangle is 3.5.

5 0

2 years ago

PLEASE ANSWER ASAP, THIS IS A TEST QUESTION (NO SCAM ANSWERS PLS + I WILL MARK YOU BRAINLIEST)

vfiekz [6]

Answer:

the answer for this sub-question is 43/90. This is assuming your teacher wants you to write it in fraction form. If she or he wants you to write it in decimal form, then 43/90 = 0.4778 approximately which converts to 47.78%

Answer in fraction form: 43/90

Answer in decimal form: 0.4778 (round this however you are instructed to)

Answer in percent form: 47.78% (round this however you are instructed to)

Step-by-step explanation:

8 0

2 years ago

Solve Spam: bdkenebekebevskzbbwj Wiennerjebbenejdxbddjjdkdkkcshjejd d

Svetach [21]

Answer:439.2$

Step-by-step explanation:

So first there are 52 people who use the cleaning service right? therefore lets do 52 people times the amount paid each month 12.20$ = 634.4$

16 members in the first week times 12.20 = 195.2$