Answer: 25 faces
Step-by-step explanation:
Given
6 cubes are stacked over each other
Mr. Smith wants to count the number of faces
The faces which are in contact with each other are not visible to Mr. smith i.e. there will be 5 cubes with only 4 faces available and only one cube with 5 faces available, that is placed on the top.
No of visible faces
![\Rightarrow 4\times 6+1\quad \quad [\text{6 cubes with 4 faces visible+face of top cube}]\\\Rightarrow 25\ \text{faces}](https://tex.z-dn.net/?f=%5CRightarrow%204%5Ctimes%206%2B1%5Cquad%20%5Cquad%20%5B%5Ctext%7B6%20cubes%20with%204%20faces%20visible%2Bface%20of%20top%20cube%7D%5D%5C%5C%5CRightarrow%2025%5C%20%5Ctext%7Bfaces%7D)
The thickness of a fingernail is about 10^-5 inch
From the complete question, we have the following parameter
Thickness = 1/100000 inch
To represent the thickness in standard form, we do the following:
Express the thickness as a decimal
Thickness = 0.00001 inch
So, the standard form would be:
Thickness = 1 * 10^-5 inch
This gives
Thickness = 10^-5 inch
Hence, the complete statement is:
The thickness of a fingernail is about 10^-5 inch
Read more about standard forms at:
brainly.com/question/5756316
The sum of two vectors is (- 0.5, 10.1)
<u>Explanation:</u>
To add two vectors, add the corresponding components.
Let u =⟨u1,u2⟩ and v =⟨v1,v2⟩ be two vectors.
Then, the sum of u and v is the vector
u +v =⟨u1+v1, u2+v2⟩
(b)
Two vectors = ( 3, 4 )
angle 2π/3 = 120°
In x axis, the vector is = 7 cos 120°

In y axis, the vector is = 7 sin 120°
= 7 X 0.866
= 6.062
The second vectors are ( -3.5, 6.062)
Sum of two vectors = [( 3 + (-3.5) ), (4 + 6.062)]
= (- 0.5, 10.1)
Answer: Last option.
Step-by-step explanation:
In order to estimate the percent "n" of a number"x", you need easy numbers to work with, therefore you can round "n" and "x" up or down; but it is important to remember that this estimation does not give you an exact value.
You can observe that Sergei's first step was to round 149% and 67 up, getting this result:

To verify if this estimate is less or greater than the actual answer, we can find the actual answer. This is:
Therefore, we can conclude that<em> the estimate is greater than the actual answer because the percent and the number were both rounded up</em>.
Answer:D
Step-by-step explanation:
-(5j²+2j-7)-(3j+2)=-5j²-2j+7-3j-2= -5j²-5j+5