Answer:
20 grams
Step-by-step explanation:
Let x be the total allowance of fat
16 grams is 80% of his total allowance
x * 80% = 16
Change percent to a decimal
x *.8 = 16
Divide each side by .9
.8x/.8 = 16/.8
x = 20
Answer:
Step-by-step explanation:
we have
-------> 
we know that
The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
Remember that

Answer:
Slope is 7/3
Step-by-step explanation:
Answer:
the reasoning states that "all the numbers begin with a 7 or an 8"
however this is not accurate as they can be in different placements
which can make a big difference in the total estimate.
for example:
the number could've been an 8, or an 80
they both begin with an 8
however have totally different values and could have messed up the total estimated number.
hope this helps :D
Answer:

Step-by-step explanation:
Solution:-
The position of any particle or object lying on a circular surface which is rotating with an angular speed of ( w ).
The motion of the particle/object can be expressed as sinusoidal or harmonic motion. We can express the motion of the particle in the cartesian coordinate system using a sinusoidal waveform.
The position of the particle/object from the central axis at time t = 0 can be given in the form:
h ( t ) = A*sin ( w*t )
Where, A: The amplitude of the particle in motion ( in )
w: The angular frequency of rotation ( rad/s )
The amplitude ( A ) of the sinusoidal waveform is determined from the maximum displacement of the particle/object from the horizontal axis which defined by the radius of the fidget spinner where the particle is located. Hence, A = 4 in
The fidget rotates at 3000 rpm. We need to determine the angular speed of the particle. Assuming no slip conditions, the particle also rotates at 3000 rpm.
We will first convert 3000 rpm into rad/s as follows:

The sinusoidal function that models h ( t ) can be written as:
