Reece is setting up a large fish tank. The tank is 1.8metres long and 0.6 metres wide. The water in the tank is 50 cm deep. Reece needs to add a liquid treatment to the water. The instructions tell him to add 5 ml of treatment for every 0.18 m3. How many treatment does Reece need to add?​

Answers

Answer 1
Answer:

Reece needs to add 3 treatments to the fish tank.

How to determine How many treatment does Reece need to add

First, we need to calculate the volume of the fish tank in cubic meters.

Volume = Length × Width × Depth

Volume = 1.8 m × 0.6 m × 0.5 m (converting 50 cm to meters by dividing by 100)

Volume = 0.54 m³

Now, we can calculate how many treatments Reece needs to add using the given ratio of 5 ml per 0.18 m³.

Number of treatments = Volume of tank / Volume per treatment

Number of treatments = 0.54 m³ / 0.18 m³

Number of treatments = 3 treatments

Therefore, Reece needs to add 3 treatments to the fish tank.

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Answer 2
Answer:

Answer:

15 ml

Step-by-step explanation:

Find the volume of the tank which is 1.8m*0.6m*0.5m=0.54m^3

For every 0.18m^3,5ml of treatment is added,what of 0.54m^3

(0.54m^3*5ml)/(0 18m^3)=15ml


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For a certain breed of dog, suppose the offspring of a black dog is black with probability 0.6 and brown with probability 0.4. Also for this breed, suppose the offspring of a brown dog is black with probability 0.2 and brown with probability 0.8. If Rex is a brown dog of this breed, what is the probability that his grand-pup will be black?

Answers

Answer:

0.28

Step-by-step explanation:

For a certain breed of dog,

OFFSPRING OF A BLACK DOG:

Is black = 0.6          Is brown = 0.4

OFFSPRING OF A BROWN DOG:

Is black = 0.2          Is brown = 0.8

If REX is a brown dog of this breed, what is the probability that his grand puppy will be black?

The probability that his grand pup will be black = Probability that his black pups produce black pups + the probability that his brown pups produce black pups.

The probability that his black pups produce black pups:

0.2 × 0.6 = 0.12

The probability that his brown pups produce black pups:

0.8 × 0.2 = 0.16

The probability that his grand pup will be black = 0.12 + 0.16 = 0.28

Final answer:

The probability that the grand-pup of a brown dog (like Rex) will be black is calculated by multiplying the probability that a brown dog will produce a black offspring (0.2) by the probability that a black dog will produce a black offspring (0.6). This results in a probability of 0.12, or 12%.

Explanation:

In this problem, you're looking at the probability of a twice-removed descendent (a grand-pup) being a certain color, given the starting color of the ancestor (Rex). Since the color of the offspring is dependent on the color of the parent, this is a conditional probability problem.

The probability that the offspring of a brown dog will be black is 0.2. If that dog is black, the probability of its own offspring being black is 0.6. So, you multiply those probabilities together to find the probability that a brown dog will have a black grandpup, which is 0.2 * 0.6 = 0.12, or 12%. Therefore, the probability that Rex's grandpup will be black is 12%.

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Below, the two-way table is given for a class of students. Freshmon Sophomora fontores Seniors Male 4 6 2 2 Female 3 4 6 б 3 Total If a student is selected at random, find the probability the student is a junior. Round to the nearest whole percent.​

Answers

Answer:

22% probability the student is a junior.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes:

The table says that:

There are 4 + 6 + 2 + 2 + 3 + 4 + 6 + 6 + 3 = 36 total students.

2 + 6 = 8 are juniors.

If a student is selected at random, find the probability the student is a junior.

8/36 = 0.2222 = 22.22%

Rounding to the nearest whole percent, 22% probability the student is a junior.

Answer:

27%

Step-by-step explanation:

The hypotenuse of the triangle shown below is 12 inches. What is the lengthof a side in inches?

Answers

Can you send a picture of the triangle ?

In the 1980s land prices in Japan surged upward in a ""speculative bubble."" Land prices then fell for 11 straight years between 1990 and 2001. What can we safely assume happened to land rent in Japan over those 11 years? Use graphical analysis to illustrate your answer.

Answers

Answer:

Step-by-step explanation:

Given the supply of land is perfectly inelastic, the drop in prices must have resulted from decreased demand for land. The demand for land would fall if there were less of a return on the land (i.e., rent), so we can safely assume that land rent fell in Japan between 1990 and 2001. The shifts from D3 to D2 to D1 demonstrate graphically what happened in Japan.

Consider an investment of $6000 that earns 4.5% interest. How long would it take for the investment to reach 1500 if the interest is compounded monthly?

Answers

Answer:

  20.4 years

Step-by-step explanation:

The future value formula is ...

  FV = P(1 +r/n)^(nt)

where P is the principal invested (6000), n is the number of times per year compounding occurs (12), r is the interest rate (.045), and t is the number of years.

Perhaps you're interested in a future value of $15,000 (not 1500). Then we can find t from ...

  15000 = 6000(1 +.045/12)^(12t)

  2.5 = 1.00375^(12t) . . . . . divide by 6000

  log(2.5) = 12t·log(1.00375) . . . . . take logarithms

  log(2.5)/(12log(1.00375)) = t ≈ 20.4

It will take 20.4 years for the investment to reach $15,000.

Which of these is a set of inputs and outputs for the function f(x) = 2x + 4 ?

Answers

The set of inputs for the equation f ( x ) = 2x + 4 is

( 1 , 6 ) , ( 2 , 8 ) , ( 3 , 10 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be f ( x ) = 2x + 4

f ( x ) = y

Now ,

Let the first point be A ( 1 , 6 )

Let the second point be B ( 2 , 8 )

Let the third point be C ( 3 , 10 )

a)

A ( 1 , 6 )

Substitute the value of x and y in the equation , we get

y = 2x + 4

6 = 2 ( 1 ) + 4

6 = 2 + 4

6 = 6

Hence , the input A ( 1 , 6 ) satisfies

b)

B ( 2 , 8 )

Substitute the value of x and y in the equation , we get

y = 2x + 4

8 = 2 ( 2 ) + 4

8 = 4 + 4

8 = 8

Hence , the input B ( 2 , 8 ) satisfies

c)

C ( 3 , 10 )

Substitute the value of x and y in the equation , we get

y = 2x + 4

10 = 2 ( 3 ) + 4

10 = 6 + 4

10 = 10

Hence , the input C ( 3 , 10 ) satisfies

Hence , The set of inputs for the equation f ( x ) = 2x + 4 is

( 1 , 6 ) , ( 2 , 8 ) , ( 3 , 10 )

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Answer:

(1, 6), (2, 8), (3, 10)

2(1) + 4 = 6, 2(2) + 4 = 8 and 2(3) + 4 = 10.

Step-by-step explanation: