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vaieri [72.5K]
3 years ago
13

You need to determine the mass of a sample of an element for a science project. The element is in the shape of a rectangular pri

sm with a length of 0.5 centimeters, a width of 0.2 centimeters, and a height of 0.3 centimeters. The density of the element is 2.7 grams per cubic centimeter. Find the mass of the element. (round to the nearest hundredth)
Mathematics
1 answer:
zheka24 [161]3 years ago
4 0

Answer:

The mass of the prism is approximately 0.08 grams.

Step-by-step explanation:

The first step to determine the mass, is to calculate the volume of the prism, this can be done using the formula below:

volume = height*length*width

volume = 0.3*0.5*0.2 = 0.03 cm³

Now we need to multiply the volume by the density of the material in order to find it's mass.

mass = volume*density

mass = 0.03*2.7 = 0.081 grams

The mass of the prism is approximately 0.08 grams.

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Aleks04 [339]

Answer:

9 square root of 7

Step-by-step explanation:

You’re going to break apart radical 28 into square root of 4 and square root of 7.

The square root of 4 is 2 so you add the 2 to the 3 and it equals 5 and since the square root of 7 can’t be simplified and it stays the same. So all you do is add 4 radical 7 and 5 radical 7 which equals 9 radical 7.

Radical- is square root sign

6 0
3 years ago
How do you work the problem -2=m over 16
siniylev [52]
You multiply each side of the equation by 16 .
4 0
3 years ago
A car and a motorcycle leave the city at the same time and drive to a lake that is 120 km away. The speed of the motorcycle is 2
iris [78.8K]

Answer:

  • 40 km/h and 60 km/h

Step-by-step explanation:

Let the speed of the car is x, then the speed of motorcycle is x + 20

The distance = 120 km

<u>Time:</u>

  • 120/x = 120/(x + 20) + 1
  • 120(x + 20) = 120x + x(x +20)
  • 120x + 2400 = 120x + x² + 20x
  • x² + 20x = 2400
  • x² + 2*10x + 10² = 2500
  • (x + 10)² = 50²
  • x  + 10 = 50
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Speed of the car is 40 km/h

Speed of the motorcycle is 60 km/h

3 0
3 years ago
Read 2 more answers
A service center receives an average of 0.6 customer complaints per hour. Management's goal is to receive fewer than three compl
True [87]

Answer:

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

Step-by-step explanation:

We have the mean during a time-period, which means that the Poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

A service center receives an average of 0.6 customer complaints per hour.

This means that \mu = 0.6h, in which h is the number of hours.

Determine the probability that exactly four complaints will be received during the next eight hours.

8 hours means that h = 8, \mu = 0.6(8) = 4.8.

The probability is P(X = 4).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 4) = \frac{e^{-4.8}*4.8^{4}}{(4)!} = 0.18203

0.18203 = 18.203% probability that exactly four complaints will be received during the next eight hours.

5 0
3 years ago
The ordered pair D (-4,-2) has been plotted for you. If you reflected coordinate d over the x-axis, which point from part A woul
Serjik [45]
A= (-4,2)

The x value (-4) stays the same when reflected over the x-axis, so only the y-value gets reflected and therefore changed.
The resultant coordinate is (-4,2)
6 0
3 years ago
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