Answer:
-7/ 48
Step-by-step explanation:
Given that:
Average change in water level per 3 years = - 7/16
This means the water level decreases by - 7/16 on average every 3 years
The change in water level after a year will be ;
-7/16 = 3
x = 1
Cross multiply ;
3x = - 7/16
Divide both sides by 3
x = -7/16 ÷ 3
x = - 7/16 * 1/3
x = - 7 / 48
Hence, water level will change by - 7/48 after a year.
Answer:
The inverse is 
Step-by-step explanation:
Answer:
660 ft³
Step-by-step explanation:
The way I'm thinking of it, we can think of it as a triangle and then extruding out from that triangle for the length.
First, the triangle:
area = base * width / 2 = 12 * 10 / 2 = 60 ft²
volume = the triangle for the length
the length is 11 feet,
so we extrude that triangle for 11 feet to get
60 ft² * 11 ft = 660 ft³
we multiply 10 ft by 12 ft by 11 ft. there are 3 instances of ft, so the corresponding exponent is therefore ³.
another way to think of the extrusion is like a rectangular prism, the formula for a rectangular prism's volume is length * width * height. we're extruding from the bottom rectangle for the whole of the height, so we multiply the area of the bottom triangle (length * width) by height.
this might be confusing so let me know if you have any questions!
Answer:
X = 48.014%
Y = 51.986%
Step-by-step explanation:
Given
151 EU has a mass of 150.9196 amu
153 EU has a mass of 152.9209 amu
Calculating the relative abundance of the two EU isotopes.
First condition that must be satisfied is
X + Y = 100%;
X + Y = 1. ----- Equation 1
Second Condition is;
150.9196X + 152.9209Y = 151.96 ------ Equation 2
In Equation 1; make Y the subject of formula.
So, Y = 1 - X.
Substitute (1 - X) for Y in Equation 2
150.9196X + 152.9209(1 - X) = 151.96 ----Open bracket
150.9196X + 152.9209 - 152.9209X = 151.96 ---- Collect Like Terms
150.9196X - 152.9209X = 151.96 - 152.9209
−2.0013X = -0.9609
X = -0.9609/-2.0013
X = 0.480137910358267
X = 48.014% ----- Approximated
Y = 1 - X
Y = 1 - 48.014%
Y = 0.51986
Y = 51.986% ---- Approximated
Answer:
Step-by-step explanation:
According to the problem, calculation of given data are as follows,
Volume of cylindrical vase = 
As, Cone has same height and radius as cylinder, than we can calculate volume of cone by using following formula,
Volume of cone = 
× Volume of cylindrical vase
By putting the value, we get
Volume of cone = × 63
Volume of cone =
