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SIZIF [17.4K]
3 years ago
7

A rectangular box 4 meters long, 3 meters wide and 2 meters tall. On the box is a cat, and the box is floating in water such tha

t half the box is under water. The density of the box is 300 kg/m³. What is the mass of the cat?
Mathematics
1 answer:
Vikentia [17]3 years ago
8 0

Answer:

Mass of the cat  = 16800kg

Step-by-step explanation:

The volume of the box = its length * its breath * its height- 4m × 3m × 2m = 24m^{3}

The standard density of water is 1000 Kg/m^{3}

By Archimedes principle, the mass of a body  floating body is equivalent to the mass of the volume liquid displaced

in this case we have

Mass of water displaced = Density of the water × Volume of the water  displaced =   1000 Kg/m^{3} × 24m^{3} = 24000kg

The mass of the box = Box density × Box volume = 24m^{3} × 300kg/m^{3} = 7200 kg Hence the mass of water displaced = mass of the foating box + mass of th cat

24000kg =  mass of cat +7200kg

mass of cat = 24000kg - 7200kg = 16800kg

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Use your TVM Solver to determine the future balance in a mutual fund account (a type of investment account) if you make weekly p
Paladinen [302]

Answer:

  $46,141.71

Step-by-step explanation:

This looks about right, based on weekly deposits for the duration. However, I cannot vouch for it entirely, as the number of weekly deposits in 15 years will actually be 782.

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Computing this by hand doing the initial balance separately from the weekly deposits, I get a total of $46,252.10 using 782 weekly deposits. For that purpose, I tried to figure an equivalent weekly interest rate given monthly compounding and the fact there are 52 5/28 weeks in a year on average.

I suspect the only way to get this to the cent would be to build a spreadsheet with payment dates and interest computation/payment dates. Some months, there would be 5 deposits between interest computations; some years there would be 53 deposits.

5 0
3 years ago
The coordinates of a triangle are P(1, 4), Q(3, 6), and R(5, 2). The triangle is reflected over a line and its image coordinates
natta225 [31]

Answer:

Option 4. x = 0

Step-by-step explanation:

we know that

The rule of the reflection of a point across the y-axis is equal to

(x,y) -----> (-x,y)

The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the y-value the same

The coordinates of triangle PQR are

P(1, 4), Q(3, 6), and R(5, 2)

Applying the rule of the reflection across the y-axis we have

P(1, 4) -----> P'(-1, 4)

Q(3, 6) ----> Q'(-3, 6)

R(5, 2)----> R'(-5, 2)

The reflection line is the y-axis

Remember that the equation of the y-axis is x=0

therefore

The equation of the reflection line is x=0

8 0
3 years ago
Read 2 more answers
A function h(x) has zeroed at x=-6 and x=12 where does the function g(x) =h(3x) have zeroed?
saul85 [17]

Answer:.

Step-by-step explanation:.

7 0
2 years ago
Is -8-2(3+2n)+7n equivalent to -30-13n. Explain why or why not.
seropon [69]

No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

Step-by-step explanation:

Let us revise the operation of the negative and positive numbers

  • (-) + (-) = (-)
  • (-) × (-) = (+)
  • (-) + (+) = the sign of greatest [(-) if the greatest is (-) or (+) if the greatest is (+)]
  • (-) × (+) = (-)
  • (-) - (+) = (-)
  • (+) - (-) = (+)

∵ The expression is -8 - 2(3 + 2n) + 7n

- Simplify it

∵ 2(3 + 2n) = 2(3) + 2(2n) = 6 + 4n

∴ -8 - 2(3 + 2n) + 7n = -8 - (6 + 4n) + 7n

- Multiply the bracket by (-)

∴ -8 - (6 + 4n) + 7n = -8 - 6 - 4n + 7n

- Add the like terms

∴ -8 - (6 + 4n) + 7n = (-8 - 6) - 4n + 7n

∴ -8 - (6 + 4n) + 7n = -14 + 3n

∴ -8 - 2(3 + 2n) + 7n is equivalent to -14 + 3n

∵ -14 + 3n ≠ -30 - 13n

∴ -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

No, -8 - 2(3 + 2n) + 7n is not equivalent to -30 - 13n

Learn more:

You can learn more about the directed numbers in brainly.com/question/10364988

#LearnwithBrainly

8 0
3 years ago
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Andrei [34K]

Answer:

5×3+5×w

Step-by-step explanation:

3 0
2 years ago
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