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Arlecino [84]
3 years ago
15

Perform this operation and report the answer to the correct number of significant figures: What is the mass of a cube of aluminu

m that is 4.0 cm on each edge? The density of aluminum is 2.7 g/cm^3. Show all calculations leading to an answer.
Mathematics
1 answer:
KIM [24]3 years ago
6 0
The answer is 172.8 g.

The volume of the cube (V) is:
V = a³            (a - the side of the cube)

The density (D) <span>is quotient of mass (m) and volume (V):
D = m/V = m/a</span>³
⇒ m = D · a³
<span>

It is given:
D = 2.7 g/cm</span>³
a = 4 cm
Therefore:
m =  D · a³ = 2.7 · 4³ = 172.8 g
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Suppose that the functions s and t are defined for all real numbers x as follows.
PolarNik [594]

Answer:

(s-t)(-1) = -1

(s+t)(-1) = -7

Step-by-step explanation:

Given the following set of functions

s(x)=2x-2

t(x)=3x

(s-t)(x) = s(t) - t(x)

(s-t)(x) = 2x - 2 - 3x

(s-t)(x)  = -x -2

(s-t)(-1) = -(-1) - 2

(s-t)(-1) = 1-2

(s-t)(-1) = -1

(s+t)(x) = s(t) + t(x)

(s+t)(x) = 2x - 2 + 3x

(s+t)(x)  = 5x -2

(s+t)(-1) = 5(-1) - 2

(s+t)(-1) = -5-2

(s+t)(-1) = -7

8 0
3 years ago
Georgia out found that 2 out of 25 apples had bruiseson them. based on this information, how many apples out of 100 would be exp
TEA [102]
We just need to extrapolate the information we have about 25 apples to 100, that is we need to find a number that multiplied by gives us 100, from this original fraction, hence, we have:
2 out of 25 = 2/25
if we multiply and divide a number or fraction by the same number we do not alter its value, so we need to convert the 25 into 100, and that can be done multiplying it by 4, like so:
(2/25)(4/4) = (2*4)/(25*4) = 8/100

So if we have 2 bruised apples out of 25, then we can expect to have 8 bruised apples out of 100
6 0
3 years ago
A student scored 66 points on his Psychology 101 midterm. If the average of his midterm and final must be between 78 and 90 incl
Paul [167]

Answer:

range of scores on final exam student get  B is 90 to 100

Step-by-step explanation:

given data

Psychology 101 score = 66

average of his midterm = between 78 and 90

maximum = 100 points

to find out

range of scores on final exam student get  B

solution

we consider here lowest marks need in final = x

so average at two marks should be

equation is  

average marks = 0.5 × ( mid term marks + final marks )      .................1

put here value

78 = 0.5 ×  ( 66 + x )

x = 90

and

90 = 0.5 ×  ( 66 + x )

x = 114

so range 90 to 114

but maximum marks is 100 so

range of scores on final exam student get  B is 90 to 100

3 0
3 years ago
NEED HELP LOTS OF POINTS!!! Diego had $21.32 and gave $9.50 to Elena. How much did he have left?
erastovalidia [21]

Answer:

11.18

Step by Step Explanation:

Subtract 9.5 from 21.23

8 0
3 years ago
Angles A and B are complementary. Two separate angles are shown. Angle A is (x + 22) degrees. Angle B is x degrees. What is the
HACTEHA [7]

Answer: 34

Step-by-step explanation:

(x+22) + x = 90

8 0
3 years ago
Read 2 more answers
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