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Ksju [112]
3 years ago
12

5. Find a counterexample to show that the following con-

Mathematics
1 answer:
Bess [88]3 years ago
7 0

Answer:  see below

<u>Step-by-step explanation:</u>

Any value x such that |x| < 1 will make the conjecture false

<em>In simpler words, let x be a fraction between 0 and 1.</em>

One example: Let x = \dfrac{1}{2}

Then x⁴ = \bigg(\dfrac{1}{2}\bigg)^4

             = \dfrac{1}{16}

\dfrac{1}{16} < \dfrac{1}{2}

so the conjecture is false.

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An adult takes 800 mg of ibuprofen. Each hour, the amount of ibuprofen in the person's
ss7ja [257]

Answer:

116.31468544 mg ibuprofen left

Step-by-step explanation:

Since there are 800 mg at the beginning and the system decreases by about 32% of the ibuprofen

After 1 hour

→ 800 - (800x32/100) = 800 - 256 = 544 mg ibuprofen left

After 2 hours

→ 544 - (544x32/100) = 544 - 174.08 = 369.92 mg ibuprofen left

After 3 hours

→ 369.92 - (369.92x32/100) = 369.92 - 118.3744 = 251.5456 mg ibuprofen left

After 4 hours

→ 251.5456 - (251.5456x32/100) = 251.5456 - 80.494592 = 171.051008 mg ibuprofen left

After 5 hours

→ 171.051008 - (171.051008x32/100) = 171.051008 - 54.73632256 = 116.31468544 mg ibuprofen left

3 0
2 years ago
A culture starts with 4000 bacteria after 5 hours it has 4800 how many bacteria after 15 hours
iogann1982 [59]

Answer:

6400

Step-by-step explanation:

so every 5 hours it gains 800 bacteria so 4800+800=5600 (hour 10)

and 5600+800=6400 (hour 15)

8 0
2 years ago
Read 2 more answers
Consider the relationship chart for the a fast-food restaurant,
boyakko [2]

The layout of the fast-food restaurant of dimensions 6 by 8 5 feet squares is presented in the attached table created with Sheets.

<h3>How can the required layout be found?</h3>

The dimensions of the facility are;

Horizontal = 6 squares

Vertical = 8 squares

The side length of each square = 5 feet

Therefore;

Area of each square = 5² ft.² = 25 ft.²

Number of squares, <em>n</em>, required by each dependent are therefore;

CB department, <em>n </em>= 300 ÷ 25 = 12 squares

CF department, <em>n</em> = 200 ÷ 25 = 8 squares

PS department, <em>n </em>= 8 squares

DD department, <em>n</em> = 8 squares

CS department, <em>n</em> = 12 squares

A layout for the fast-food restaurant is therefore;

  • The first three vertical columns of 8 squares each are occupied by the CF, PS, and DD departments. The remaining 3 by 8 squares are occupied by the CB department, (3 by 4 squares), and the CS department, (3 by 4 squares)

Please see the attached table layout created using Sheets.

Learn more about finding the area of regular figures here:

brainly.com/question/316492

#SPJ1

8 0
1 year ago
ABC has side lengths that are each equal to
likoan [24]

Answer:

Step-by-step explanation:no

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2 years ago
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A car is traveling at a constant velocity. After two hours the car has traveled 110 miles. After four hours the car has traveled
Likurg_2 [28]
The answer here is 275 miles, because it is going at 55 miles per hour. you can find this out by dividing the miles by the hours. Hope this helps.
3 0
3 years ago
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