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blondinia [14]
2 years ago
10

600 can be written as 2a x b x cd where a,b,c and d are all prime numbers find the values of a, b, c and d

Mathematics
1 answer:
mihalych1998 [28]2 years ago
4 0
The prime factorisation of 600 is given by

600 = 2 \times 2 \times 2 \times 3 \times 5 \times 5 = 2^3 \times 3 \times 5^2

Therefore, a = 3, b = 3, c = 5 and d = 2.
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A sample of bacteria is growing at a rate of 8% per hour compound continuously. How many hours will it take for the sample to do
Anettt [7]

Answer:

The sample would double in 9 hours

Step-by-step explanation

The number of hours it will take for the sample to double can be found using the 72 rule.

The 72 rule is such that a growth rate would double itself by it is used in dividing the number 72 as shown below:

number of hours =72/8=9 hours

The number of hours it would take the sample to double is 9 hours as computed above.

6 0
2 years ago
The young wizard, Darpinido, got 16 dragons and 12 griffins for his birthday. But his sister, Ingrid, left the gate open and mor
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Answer:

8

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6 0
2 years ago
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The total area of the polygon is 176 square feet. Find the value of x.
My name is Ann [436]

Answer:

x = 6 ft

Step-by-step explanation:

Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3

Area of triangle 1 = Area of triangle 3 = \frac{1}{2}(\text{Base})(\text{Height})

                                                              = \frac{1}{2}(x)(8)

                                                              = 4x square feet

Area of rectangle 2 = Length × Width

                                 = 16 × 8

                                 = 128 square feet

Total area of the given polygon = 4x + 128 + 4x

176 = 8x + 128

8x = 176 - 128

x = \frac{48}{8}

x = 6 ft

5 0
1 year ago
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The amount of bacteria in a Petri dish increases at a rate proportional to the amount present. At time t=0, the amount of bacter
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Answer:

C. 270 grams

Step-by-step explanation:

-This is an exponential growth function which can be expressed using the formula:

P_t=P_oe^{rt}

Where:

  • P_t  is the size at time t.
  • P_o is the initial size
  • r is the growth rate
  • t is the time

Given the size at t=2 and at t=0, we substitute in the growth function to solve for r:

30=10e^{2r}\\\\3=e^{2r}\\\\r=\frac{In \ 3}{2}\\\\=0.54931

We use this calculated rate to determine the population at t=6

P_t=P_oe^{rt}\\\\=10e^{6\times \frac{In \ 3}{2}}\\\\=270\ grams

Hence, the bacteria's size at t=6 is 270 grams

8 0
1 year ago
Jake is the kicker on the football team and has an amazing kick during the game. The path of the football can be measured by the
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The height of the ball when it is 5 meters away from Jake to the nearest whole number is 160 meters:
h=-.625*5(5-56)=159.375 meters exact.
3 0
2 years ago
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