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Gnoma [55]
3 years ago
8

A graduated cylinder is filled with 20ml of water. Then, an 8g marble is dropped into the cylinder, causing the volume to change

to 24ml. What is the density of the marble?
Mathematics
1 answer:
Tema [17]3 years ago
4 0

Answer:

The density of the marble is 2,000 kg/m³

Step-by-step explanation:

The given parameters for finding the density of the marble are;

The volume of water in the graduated cylinder, v₁ = 20 ml

The mass of the marble dropped into the graduated cylinder, m = 8 g

The new volume of the cylinder after the 8 g marble is dropped into the cylinder, v₂ = 24 ml

Therefore, the volume of the marble, v = v₂ - v₁

Substituting the known values gives;

The volume of the marble, v = 24 ml - 20 ml = 4 ml

Density, ρ = Mass, m/(Volume, v), the units of density is kg/m³

Therefore, the density of the marble, \rho _{marble}, is given as follows;

\rho _{marble} = m/v = (8 g)/(4 ml) = 2 g/ml

1 g/ml = 1 kg/l = 1,000 kg/m³

∴ \rho _{marble} = 2 kg/l = 2,000 kg/m³.

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What is the surface area of the triangular prism shaped toy car ramp
3241004551 [841]

Answer:

400 square inches

Step-by-step explanation:

surface area= summation of area of all the faces the object has

out object has 2 triangular faces, and 3 rectangular faces

S.A = 2(0.5bh) + LW +LW+LW

= 2(0.5 x 8 x 15) + (15x7) + (17 x 7) + (7×8)

= 120+105+119+56

= 400 square inches

6 0
1 year ago
A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes
Anvisha [2.4K]

Answer:

Probability will be 0.5779

Step-by-step explanation:

Number of tablets n = 19

Probability of defect rems that is p = 0.03

Here number of trials is fixed and probability of success = 0.03

Here p = 0.03

So q = 1 - p = 1 -0.03 = 0.97

By using binomial distribution

Probability is given by ^nC_rp^rq^{n-r}

So P(0 or 1) = ^{19}C_0{0.03}^0{0.97}^{19-0}+^{19}C_1{0.03}^1{0.97}^{19-1}=0.5606+0.0173=0.5779

4 0
3 years ago
Tia had a garden that was 2 meters long. Her brother used 458 millimeters of the length at one end as a worm farm
Nastasia [14]

Answer:

154 centimeters

Step-by-step explanation:

Each meter is 1000 millimeters or 100 centimeters, and if Tia's brother used 458 millimeters of 2000 millimeters, you can subtract 458 from 200 and you get 1542. Since the answer options are in centimeters, simply divide by 10 and you get the answer in centimeter form (154)

6 0
3 years ago
Read 2 more answers
The baker broke each of the cookies in half. She counted 6
densk [106]

Answer:

3

Step-by-step explanation:

6/2=3

six halves of cookies put the halves into pairs and you get 3

5 0
3 years ago
Find the common ratio of the geometric sequence 18,-72,288,...
tamaranim1 [39]

Answer:

<em>The common ratio of the geometric sequence is -4</em>

Step-by-step explanation:

<u>Geometric Sequence</u>

A geometric sequence is defined as a series of numbers that follow a fixed pattern: Each term equals the previous term times a fixed number called the common ratio. The recursive formula is:

a_n=a_{n-1}*r

Where r is the common ratio.

We are given three terms of a geometric sequence:

18,-72,288,...

To find the common ratio, just divide each term by the previous term:

\displaystyle r=\frac{-72}{18}=-4

Make sure it's a fixed number and test with the third term:

\displaystyle r=\frac{288}{-72}=-4

Since both numbers coincide, the common ratio of the geometric sequence is -4

5 0
2 years ago
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