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asambeis [7]
3 years ago
7

What is 1/5 times 243

Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0

Answer:

48.6

Step-by-step explanation:

(1÷5)×243=48.6

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The population of rabbits on an island is growing exponentially. In the year 1990, the population of rabbits was 1200, and by 19
kobusy [5.1K]

Answer:

2023 rabbits

Step-by-step explanation:

The exponential model consists of the following expression:

y = A \cdot r^{t}

Where:

A - Initial population.

r - Increase rate.

t - Time

y - Current population.

The initial population and increase rate are, respectively:

1200 = A \cdot r^{0}

A = 1200

1700 = 1200 \cdot r^{4}

r^{4} = \frac{1700}{1200}

r^{4} = \frac{17}{12}

r = \sqrt[4]{\frac{17}{12} }

r \approx 1.091

The exponential model that predicts the population of rabbits is:

y = 1200\cdot 1.091^{t}

Lastly, the expected population for the year 1996 is:

y = 1200\cdot 1.091^{6}

y\approx 2023.624\,rabbits

5 0
3 years ago
If a pool deck of 650 square feet is to be laid with concrete 3" thick, what volume of concrete will have to be poured in cubic
AVprozaik [17]

Volume is a three-dimensional scalar quantity. The volume of concrete that will have to be poured into the pool deck is 6.0185 cubic yards.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Since an inch is equal to 1/12 of a foot. Therefore, the thickness of the pool deck is,

3 inches = 0.25 foot

If a pool deck of 650 square feet is to be laid with concrete 3" thick, then the volume of concrete that will be needed is,

Volume of concrete = 650 ft² × 0.25 ft = 162.5 ft³

Now, one yard is equal to 3 feet, therefore,

1 cubic foot = 1/27 cubic yards

162.5 cubic feet = 6.0185 cubic yards

Hence, the volume of concrete that will have to be poured into the pool deck is 6.0185 cubic yards.

Learn more about Volume:

brainly.com/question/13338592

#SPJ1

6 0
2 years ago
1.) Are the two expressions
Gnom [1K]

Answer:

yes

Step-by-step explanation:

if you distribute the 9 into the parenthesis you get 9y + 45. Therefore, both equations are equivalent seeing that they both equal to 9y + 45.

8 0
2 years ago
Read 2 more answers
2. In a class 70 students, 44 like Bookkeeping, 36 like- Commerce, and 17 like both bookkeeping and commere How many student lik
tigry1 [53]

Answer:

17

Step-by-step explanation:

you said that in the problem lol

5 0
2 years ago
Read 2 more answers
Can you guys help we with this question. ​​​​​​
satela [25.4K]

Answer:

40

Step-by-step explanation:

(2x+1/(2x))^5 *(2x -1/(2x))^5

= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2

= (4x^2-1/4(x)^2)^5

now

x =4x^2. ,a = 1/4(x)^2 ,n =5

we have

general term = Cr *x^r *a^(n-r)

= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)

= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)

= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)

= Cr * 4(2r-n) *x(4r-2n)

now for x^2

4r-2n = 2

4r -10=2

4r =12

r = 3

now for coeff

C(5,3) * 4^(2*3-5)

5!/(3!*(5-3)!) * 4

5*4/(2*1)*4

40

4 0
2 years ago
Read 2 more answers
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