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My name is Ann [436]

3 years ago

6

the parent cosine function is transformed to create the function m(x) =-2cos(x+π). which graphed function has the same amplitude

as function m

2 answers:

salantis [7]3 years ago

8 0

Answer: Graph D

Step-by-step explanation: Got it right on plato

marissa [1.9K]3 years ago

6 0

Answer:

Graph D

Step-by-step explanation:

Got it correct on Plato

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What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 144) (one-

Irina18 [472]

The sum of the infinite geometric series is -288.

<h2>Given that</h2>

A finite geometric series with n = 4, a₁ = -144, and r = ½.

<h3>We have to determine</h3>

What is the sum of the infinite geometric series?

<h3>According to the question</h3>

The sum of the infinite is determined by the following formula;

$\rm S\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\$

A finite geometric series with n = 4, a₁ = -144, and r = ½.

Substitute all the values in the formula;

$\rm S\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\S\infty = \dfrac{-144 (1- \dfrac{1}{2}^4)}{1-\dfrac{1}{2}}\\\\S \infty = \dfrac{-144 \times \dfrac{15}{16}}{\dfrac{1}{2}}\\\\S \infty = -270$

Therefore,

The sum of the infinite geometric series is,

$\rm S = \dfrac{a_1}{1-r}\\\\S=\dfrac{-144}{1-\dfrac{1}{2}}\\\\S = \dfrac{-144}{0.5}\\\\S = -288$

Hence, the sum of the infinite geometric series is -288.

To know more about Geometric Series click the link given below.

brainly.com/question/16037289

5 0

2 years ago

Find the slope of the line passing through the points (-2, 5) and (-6, 7).

Vlad1618 [11]

The slope would be - 1/2 !!

you would number the x and y values of the coordinates.

( -2 , 5 ) ( -6 , 7 )
x1. y1. x2. y2

then do the formula that gives you the slope y2 - y1 / x2 - x1

this gives you:

7 - 5 / -6 - (-2) = 2/ -4 (simplify) -1/2

so this would give you m= -1/2

5 0

4 years ago

What is the slope of a line that is perpendicular to the line y=8x+5

statuscvo [17]

Answer:

-1/8

Step-by-step explanation:

Perpendicular slopes are negative reciprocals

The slope of y=8x+5 is 8, because it is in slope intercept form: y=mx+b form, where m is the slope.

Negative:

8/1--> -8/1

Reciprocal:

Flip the numerator and denominator

-8/1--> -1/8

So, the perpendicular slope of 8 is -1/8

4 0

3 years ago

Read 2 more answers

Bill is 4 years older than Harris, who is 5 years old. How old is Bill? Plot Bill’s age on the number line.

Ahat [919]

Answer:

9

Step-by-step explanation:

5+4=9

8 0

3 years ago

There are currently 4,000 Rhinos left in the world and they are going extinct at a rate of 3.7% each year. How many Rhinos will

cupoosta [38]

Answer:

2744 Rhinos will be left after 10 years

Step-by-step explanation:

This question has to do with exponential decay rate. We solve this using the formula:

P(t) = Po(1 - r)^t

Where P(t) = Amount left after t years

Po = Initial amount

r = Decay rate = 3.7% = 0.037

t = time in years = 10 years

P(t) = 4000(1 - 0.037)¹⁰

P(t) = 4000 × 0.963¹⁰

P(t) = 4000 × 0.6859032667003232

P(t) = 2743.6130668

Approximately = 2744 Rhinos will be left after 10 years

3 0

3 years ago