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2 years ago

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The recursive formula An+1 = 2∙An number of people with a virus in a school each week. If there are 96 people infected with the

virus after 3 weeks, how many people will be infected after 6 weeks? What is the explicit formula?

1 answer:

Alex777 [14]2 years ago

3 0

Each week the number infected doubles. the formula would be 2(2(2(96))). the sum is equal to 768.

768.

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Pleaseeeeeee help mee

BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos( 3x - \frac{\pi }{3} ) = cos (\frac{\pi }{6} )$

$3x - \frac{\pi }{3} = \frac{\pi }{6}$

$3x - \frac{\pi }{3 } + \frac{\pi }{3} = \frac{\pi }{6} + \frac{\pi }{3}$

$3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}$

$x = \frac{\pi }{6}$

<u><em>Step(ii)</em></u>:-

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

<u><em>verification </em></u>:-

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

put $x = \frac{\pi }{6}$

$cos( 3(\frac{\pi }{6}) - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} = \frac{\sqrt{3} }{2}$

Both are equal

∴The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

4 0

2 years ago

Find the value of each variable that makes the equation true.

Anastaziya [24]

What’s the equation?

3 0

2 years ago

Read 2 more answers

At Elisa's printing company llc there are two kinds of printing presses: model a which can print 70 books per day and model b wh

Vilka [71]

70a + 55b = 905
a + b = 14
55a + 55b = 770

(70a-55a) + (55b-55b) = 905 - 770
15a = 135
a = 9

a + b = 14
9 + b = 14
b = 5

7 0

3 years ago

Which umber is greater? Square root of 220 or 14 3/4?

vodomira [7]

Square root is 220 the number is way bigger than 14 3/4

5 0

3 years ago

What is the volume of the figure below?

Alja [10]

Answer:

312

Step-by-step explanation:

Volume of the parallalelepiped:

base x width x height

V = 5 x 4 x 12 = 240

for triangular prism:

base = 8-5 = 3

base area = (base x height)/2 = (3x4)/2 = 6

V = base area x 12

V = 6 x 12 = 72

Total volume = 240 + 72 = 312

7 0

2 years ago