You turn 85% into a decimal
then multiply the decimal by the main number.
420x.85=357.
so 85% of 420 is 357
Answer:
The volume of the glass is 217.8 cm³
Step-by-step explanation:
If the glass were initially 4/7 full, that means 3/7 of the volume is still available to hold more juice.
Let v represent the volume of the glass.
Then (3/7)v + 70 cm³ = (3/4)v.
We need to solve this for v.
Here the LCD is 28. Thus,
(3/7)v + 70 cm³ = (3/4)v → (12/28)v + 70 cm³ = (21/28)v.
Subtracting (12/28)v from both sides, we get:
70 cm³ = (9/28)v.
We can isolate v by mult. both sides by the inverse of 9/28, which is 28/9:
(28/9)(70 cm³) = v
The volume of the glass is 217.8 cm³
Answer:
x = 47.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos x = 8.8 / 13
Take the inverse cos of each side
cos ^-1 ( cos x) = cos ^-1( 8.8 /13)
x = cos ^-1( 8.8 /13)
x =47.39633319
Rounding to the nearest tenth
x =47.4
By definition, the span of two vectors is the set of all possible linear combinations of said vectors. So, any element in W is obtaining by choosing two numbers a,b and building
(a)
So, you can show a nonzero polynomial in W by choosing any values of a and b, as long as they're not both zero. To keep it as simple as possible, we can choose for example a=1, b=0 and we obtain one of the base vectors of W:
(b)
Factoring the powers of x, we see that a generic polynomial in W looks like
So, we must build a polynomial
such that it is not possible that
For example, let's try the polynomial 
We should solve the system
And you can check that it has no solutions. So, the polynomial does not belong to W. On the other hand, it surely belongs to V, because it is a polynomial with degree less than 3. So, the polynomial belongs to V/W.
Answer:
43/100
Step-by-step explanation:
It would have to be 43/100 becuase 43 is a prime number, therefore it cannot be simplified.
