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PtichkaEL [24]
3 years ago
13

The density of hydrogen is approximately 9 × 10-5 , while the density of helium is approximately 2 × 10-4 .

Mathematics
1 answer:
NeX [460]3 years ago
5 0

Answer:

Two times the density of hydrogen   =   18 x 10^-5

Step-by-step explanation: Two times the density of hydrogen   =   18 x 10^-5    is ALMOST 20 x 10^-5    or 2 x 10^-4

SO the first statement is correct.

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What is the surface area of the solid shown below?
Ugo [173]

Answer:

\text{C. }156\:\mathrm{cm^3}

Step-by-step explanation:

The surface area of the triangular prism consists of three rectangles and two triangles.

Rectangle One - 5 x 12 = 60 cm^2

Rectangle Two - 4 x 12 = 48 cm^2

Rectangle Three - 3 x 12 = 36 cm^2

Triangles - 2 x 1/2 x 3 x 4 = 12 cm^2

Thus, the total surface area of the solid is 60+48+36+12=\boxed{\text{C. }156\:\mathrm{cm^3}}

8 0
3 years ago
The administrator of a $200,000 trust fund must adhere to following guidelines.
skelet666 [1.2K]

Step-by-step explanation:

let us give all the quantities in the problem variable names.

x= amount in utility stock  

y = amount in electronics stock  

c = amount in bond

“The total amount of $200,000 need not be fully invested at any one time.”

becomes

x + y + c ≤ 200, 000,

Also

“The amount invested in the stocks cannot be more than half the total amount invested”

a + b ≤1/2 (total amount invested),

=1/2(x + y + c).

(x+y-c)/2≤0

“The amount invested in the utility stock cannot exceed $40,000”

a ≤ 40, 000

“The amount invested in the bond must be at least $70,000”

 c ≥ 70, 000

Putting this all together, our linear optimization problem is:

Maximize z = 1.09x + 1.04y + 1.05c

subject to

x+ y+ c ≤ 200, 000

x/2 +y/2 -c/2 ≤ 0

              ≤ 40, 000,

              c ≥ 70, 000

a ≥ 0, b ≥ 0, c ≥ 0.

3 0
3 years ago
True or false? To begin an indirect proof, you assume the converse of what you intend to prove is true.
djyliett [7]

Answer:

The statement is false.

Step-by-step explanation:

To begin an indirect proof, you assume the converse of what you intend to prove is true. This is false.

Rather the correct answer is that to begin an indirect proof, you assume the inverse of what you intend to prove is true.

The converse can be either true or false, depending on what the original statement is, so assuming the converse is pointless.

4 0
3 years ago
Identify all of the following solutions of (square root of x+8)-6 =X
seropon [69]
Square root (x + 8) -6 = x
square root (x + 8)  = x -6
x^2 + 16x  + 64 = x^2 -12x + 36

28x = 48
x =  <span> <span> <span> 1.7142857143 </span> </span> </span>

None of the above

8 0
3 years ago
42=-7(z-3) what does a equals?​
Blizzard [7]

Answer:

42=7(z-3)

We simplify the equation to the form, which is simple to understand  

42=7(z-3)

Reorder the terms in parentheses

42=+(+7z-21)

Remove unnecessary parentheses

+42=+7z-21

We move all terms containing z to the left and all other terms to the right.  

-7z=-21-42

We simplify left and right side of the equation.  

-7z=-63

We divide both sides of the equation by -07 to get z.  

z=9

3 0
2 years ago
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