Answer:
Step-by-step explanation:
<h3>Given</h3>
- Area of rectangle = 2x^2 - 7x - 15
<h3>To find</h3>
<h3>Solution</h3>
<u>Since the area is the product of the sides, let's try to factorize the given:</u>
- 2x^2 - 7x - 15=
- 2x^2 - 10x + 3x - 15 =
- 2x(x - 5) + 3(x - 5) =
- (x - 5)(2x + 3)
<u>So the dimensions are:</u>
Answer:
option b. $2,000,000.
Step-by-step explanation:Explanation:
Increase in stockholders equity = Number of shares sold * Selling price per share
Increase in stockholders equity = 100,000 shares * $20
Increase in stockholders equity = $2,000,000
Answer:
Terrence's
Step-by-step explanation:
The length of the square that will be cut out is the height of the box.
1. a
Anya's method: 8.5 -1.5 =7, 11- 1.5 =9.5, the height is 1.5, so the volume is height x length x width which is 1.5 x 9.5 x 7 =99.75 squared inches.
Terrence's method: 8.5-3 = 5.5, 11-3 = 8. Vol= 5.5 x 8 x 3 =132 squared inches. 99.75 < 132 squared inches, Terrence's idea would create larger volume.
1. b
The box's size depends on the length/width/height of the cardboard being cut, which is why different measurements / cutting methods for the same size cardboard can result in different box sizes.
2. The square would be cut from all four corners, therefore the sum of the 2 squares on the cardboard cannot exceed the short side of the cardboard. The shorter side of the cardboard is 8.5 inches, divided by 2 = 4.25 inches, hence the squares cannot be larger than 4.25 inches. Keep in mind that if you cut exactly 4.25 inches you will have a strip of 2.5 inches width that cannot be turned into a box.
If you want to cut 5 inches squares out, depending on how you draw it, it would either overlap or go outside of the paper because 5+5 is ten, surely on the 11 inches side that would still be perfectly fine but for the 8.5 inches side, there isn't any room for the 10 inches.
Answer:
0.75
Step-by-step explanation:
P(A | B) = P(A and B) / P(B)
P(vanilla | sundae) = P(vanilla and sundae) / P(sundae)
P(vanilla | sundae) = 0.15 / 0.2
P(vanilla | sundae) = 0.75
Answer:
The answer to the question is
The ratio of the two gas pressures 
, that is Px to Py = 1/6
Step-by-step explanation:
Let the gases Volumes be V₁ and V₂
Where volume of X = V₁ and
volume of Y = V₂
The volume of Y is half the volume of X
∴ V₂ = 
× V₁
Let the number of moles be n₁ and n₂ in X and Y respectively
therefore n₂ = 3 × n₁
The pressure of the gas in X is Pₓ and the pressure of the gas in Y is 
then we have
P₁ × V₁ = n₁ × R × T₁ , and P₂ × V₂ = n₂ × R × T₂
(P₁ × V₁)/(n₁ × T₁) = (P₂ × V₂)/(n₂ × T₂)
but T₁ = T₂
Therefore
(P₁ × V₁)/n₁ = (P₂ × V₂)/n₂. However n₂ = 3 × n₁ and V₂ = × V₁ therefore substituting in the equation we have
(P₁ × V₁)/n₁ = (P₂ × × V₁ )/(3 × n₁) from where
P₁ /P₂ = ( × V₁ × n₁)/(V₁×3 × n₁) =0.5/3 = 1/6
The ratio of = 1/6
