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Vikki [24]
2 years ago
10

The answer to this question. i’m confused and don’t understand it.

Mathematics
1 answer:
Georgia [21]2 years ago
3 0

Answer:

5,120 bacterias

Step-by-step explanation:

Given the amount of bacteria after x hours modelled by the equation:

f(x) = 20(2)^x/12

Note that x is in hours not days

To calculate the number of bacteria that will be contained within the culture after 4 days, we will first convert 4days into hours since x is in hours.

24hours = 1day

xhours = 4days

x = 24×4

x = 96hours

Substituting x = 96 into the equation

f(96) = 20(2)^96/12

f(96) = 20(2)^8

f(96) = 20×2^8

f(96) = 20×256

f(96) = 5,120

The number of bacteria that will be contained after 4days is 5,120bacterias

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What is the probability that a point chosen at random in the given figure will be inside the larger square and outside the small
liraira [26]

Answer:

  • 51/100

Step-by-step explanation:

<em>The probability that a point chosen at random in the given figure will be inside the larger square and outside the smaller square</em> is equal to the ratio of the area of interest to the total area:

<em>P(inside larger square and outside smaller square)</em> = area of interest / total area

<em>P(inside larger square and outside smaller square)</em> = area inside the larger square and outside the smaller square / area of the larger square

<u>Calculations:</u>

<u />

1. <u>Area inside the larger square</u>: side² = (10 cm)² = 100 cm²

2. <u>Area inside the smaller square </u>= side² = (7cm)² = 49 cm²

3. <u>Area inside the larger square and outside the smaller square</u>

  • 100 cm² - 49 cm² = 51 cm²

4.<u> P (inside larger square and outside smaller squere)</u>

  • 51 cm² / 100 cm² = 51/100
5 0
2 years ago
Which three side lengths could make a triangle?
Tpy6a [65]

Answer:

9cm 5cm 12cm

Step-by-step explanation:

6 0
2 years ago
A rectangular corral is enclosed using 120 m of fencing. The corral uses the side of a barn as one of its sides, so fencing is r
Yuliya22 [10]
The dimensions would be 40 m by 40 m.

To maximize area and minimize perimeter we make the dimensions as close to equal as possible.  Since we only need fencing on 3 sides, 120/3 = 40; we can use 40 for each side.  
8 0
3 years ago
This is due tomorrow and i have answers but i think ive done it wrong! please help
Eva8 [605]

Answer:  i) 1 - 9x² - 12x

               ii) 17 - 3x²

             iii) - 20 + 10x² - x⁴

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

g(x) = 3x + 2       h(x) = 5 - x²

i) h(g(x))

  h(3x + 2) = 5 - (3x + 2)²

                  = 5 - (9x² + 12x + 4)

                  = 5 - 9x² - 12x - 4

                  = 1 - 9x² - 12x

ii) g(h(x))

   g(5 - x²) = 3(5 - x²) + 2

                 = 15 - 3x² + 2

                 = 17 - 3x²

iii) h(h(x))

   h(5 - x²) = 5 - (5 - x²)²

                 = 5 - (25 - 10x² + x⁴)

                 = 5 - 25 + 10x² - x⁴

                 = -20 + 10x² - x⁴

4 0
3 years ago
A basketball is price at 37.00 if there is a 7% sales tax what is the final cost of the basketball
Vladimir79 [104]

Answer:

$39.59

Step-by-step explanation:

37 increase 7% =

37 × (1 + 7%) = 37 × (1 + 0.07) = 39.59

6 0
3 years ago
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