To solve this we use the
equation,
<span> M1V1 = M2V2</span>
<span> where M1 is the
concentration of the stock solution, V1 is the volume of the stock solution, M2
is the concentration of the new solution and V2 is its volume.</span>
<span>
</span>
<span>M1 = .80 g H2SO4 / g solution (1018 g solution / L solution ) (1 mol / 98.08) = 8.30 M</span>
<span>
</span>
<span>8.30 (V1) = (5.0 M) (1.5 L)</span>
<span>V1 = 0.9036 L or 903.6 mL of the stock needed</span>
Answer:
The probability that a randomly selected small cube is rolled and the face on the top is black is P=0.2.
Step-by-step explanation:
We have a cube, with the faces painted black, that each side is divided in 5, so we end up with 125 cubes.
We have to calculate the probability that a randomly selected cube is rolled and the face on the top is black.
This probability is equal to the proportion of black area in the total area of the cube.
We can define the side of the original cube as A=5a, being a the side of the small cubes.
The area that is painted black is equal to the sum of 6 squares of side A. In terms of a, that is:
The total area of the 125 small cubes is:
Then, the ratio of black surface to the total surface is:
Then, we can conclude that the probability that a randomly selected small cube is rolled and the face on the top is black is P=0.2.
We are given Elena’s bedroom door's width = 0.8 m.
Also the scale drawing is in the ratio of 1 to 50 that is 1/50.
<em>In order to find the width of scale drawing, we need to multiply original width of the door by 1/50.</em>
If we multiply 0.8 by 1/50, we get
0.8 × 1/50 = 0.8/50 = 0.016 meter.
So, we can say 0.016 meter wide should the door be on the scale drawing, if the ratio is 1 to 50.
Answer:
The second and fourth options
Step-by-step explanation:
A function is where one the inputs have only one output. In this case all we have to do is look at the x value (x,y) and see when it goes 1,2,3,4 and that means there are no repeating x and in that case each input has only one output. If you look at the other ones they have a repeating x and that means the input has two outputs and therefore it isn't a function.
Hello,
Answer A
Let's the width of the rectangle
2a-5 its length
Teh half perimeter is 80/2=40
a+2a-5=40 ==>3a=45==>a=15 and 2a-5=30-5=25
