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rewona [7]
2 years ago
15

Jeremy wants to know the density of a rock in grams per cubic centimeter. The rock has a mass of 1.08 kilograms and a volume of

400 cubic centimeters.
What is the density of the rock, in grams per cubic centimeter (g/cm^3)?
Mathematics
2 answers:
baherus [9]2 years ago
6 0

Let's convert the units first.

1.08 kg * (1000 g)/(1 kg) = 1008 g

density = mass/volume

density = 1008 g / 400 cm^3

density = 2.52 g/cm^3

Answer: 2.52 g/cm^3

dezoksy [38]2 years ago
3 0

Answer:

Density of the rock is 2.7 grams per cubic centimeter.

Step-by-step explanation:

Jeremy wants to know the density of a rock in grams per cubic centimeter.

The rock has mass M = 1.08 kilograms

Since 1 kilogram = 1000 grams

Therefore 1.08 kilograms = 1.08×1000 = 1080 grams

Volume of the rock is given as V = 400 cubic centimeters

Now we know the formula of Density = \frac{mass}{volume}=\frac{M}{V}=\frac{1080}{400}=2.7

Therefore density of the rock is 2.7 grams per cubic centimeter.

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Select each pair of functions that are inverses of each other
svlad2 [7]

Answer:

The first two choices only: A and B.

Step-by-step explanation:

The inverses are the ones with one relation having point (x,y) and the other relation having point (y,x). This most obvious when looking at points on a table or a list of points.

So the first pair are inverses because per point (x,y) on the first list you have (y,x) on the second list.

Examples:

1st list contains (-5,-9) while second list contains (-9,-5).

1st list contains (3,7) while the second list contains (7,3).

As long as (a,b) is in the first list and (b,a) is in the second or vice versa, then the pair of relations are inverses. So the first choice contains inverses.

Now lets talk about the pair of functions given in function notation.

Let's start with the first.

y=x+7

Extend the first idea more. Just swap x and y and then see after solving for y if what it equals is what g equals then f and g are inverses in the second choice.

x=y+7

Subtract 7 on both sides:

x-7=y

y=x-7

This is what g equals so the second choice is an answer.

The last choice does not contain a pair of inverses. Example: (2,3) is in the first list but (3,2) is not in the second.

6 0
3 years ago
Read 2 more answers
(6 + 7) + 8 = 21
Travka [436]

Answer: 6+(7+8)=21

Step-by-step explanation:

1. By definition, the associative property of addition is:

(a+b)+c=a+(b+c)

This property says that you can group the numbers in different ways and you will obtain the same result.

2. Therefore, if you have the following expression:

(6+7)+8=21

You apply  the Asociative property of addition by regrouping the numbers as following:

6+(7+8)=21

3. Then, you can conclude that the correct option is B.



4 0
3 years ago
The sales of a certain product after an initial release can be found by the equation s=10√5t+15 where s represents the total sal
pogonyaev
No it’s not because maybe there’s not good
5 0
3 years ago
Which shows an equation in point-slope form of the line shown?
kramer

Answer: Option (3)

Step-by-step explanation:

The slope of the given line is

\frac{-2-4}{-6-2}=\frac{-6}{-8}=\frac{3}{4}

Thus, the answer must be Option (3)

4 0
2 years ago
Data is collected to perform the following the hypothesis test:
nekit [7.7K]

Answer:

option f is right

Step-by-step explanation:

Given that data is collected to perform the following hypothesis test.

H_0: \mu = 5.5\\H_a: \mu >5.5

(right tailed test)

Sample mean = 5.4

p value = 0.1034

when p value = 0.1034 we normally accept null hypothesis.  i.e chances of null hypothesis true is  the probability of obtaining test results at least as extreme as the results actually observed during the test, assuming that the null hypothesis is correct

f) If the mean µ does not differ significantly from 5.5 (that is, if the null hypothesis is true), then the probability of obtaining a sample mean y as far or farther from 5.5 than 5.4 is .1034.

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5 0
3 years ago
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