Answer
The answer and procedures of the exercise are attached in the following archives.
Step-by-step explanation:
You will find the procedures, formulas or necessary explanations in the archive attached below. If you have any question ask and I will aclare your doubts kindly.
Answer:
B. 6 1/4
Step-by-step explanation:
The computation of the more flour Nicholas needed for making the cake and cookies is shown below:
![11 \frac{3}{4} - 5\frac{1}{2}](https://tex.z-dn.net/?f=11%20%5Cfrac%7B3%7D%7B4%7D%20-%205%5Cfrac%7B1%7D%7B2%7D)
= 11.75 - 5.50
= 6.25 more cups of flour
Therefore to make the cookies and cakes, 6.25 more cups of flour is required or needed and the same is to be considered
hence, the correct option is B. 6 1/4
Answer:
B. No, the remainder is -50.
General Formulas and Concepts:
<u>Algebra I</u>
- Roots are when the polynomial are equal to 0
<u>Algebra II</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Function f(x) = x³ - 10x² + 27x - 12
Divisor/Root (x + 1)
<u>Step 2: Synthetic Division</u>
<em>See Attachment.</em>
To determine whether a given root is an actual root, the remainder must equal 0. Since we have a remainder of -50, the given root is not a factor of the polynomial.
<em>Please excuse the bad handwriting. Hope this helped!</em>
Answer:![1+10(1-\cos (\frac{\pi t}{9}))](https://tex.z-dn.net/?f=1%2B10%281-%5Ccos%20%28%5Cfrac%7B%5Cpi%20t%7D%7B9%7D%29%29)
Step-by-step explanation:
Given
radius of wheel ![r=10 m](https://tex.z-dn.net/?f=r%3D10%20m)
Time period of Wheel ![T=18 s](https://tex.z-dn.net/?f=T%3D18%20s)
and
, where ![\omega =angular velocity of wheel](https://tex.z-dn.net/?f=%5Comega%20%3Dangular%20velocity%20of%20wheel)
![\omega =\frac{2\pi }{18}](https://tex.z-dn.net/?f=%5Comega%20%3D%5Cfrac%7B2%5Cpi%20%7D%7B18%7D)
Let at any angle
with vertical position of a point is given by
![x=r\sin \theta](https://tex.z-dn.net/?f=x%3Dr%5Csin%20%5Ctheta%20)
![y=y_0+r(1-\cos \theta )](https://tex.z-dn.net/?f=y%3Dy_0%2Br%281-%5Ccos%20%5Ctheta%20%29)
and ![\theta =\omega \times t](https://tex.z-dn.net/?f=%5Ctheta%20%3D%5Comega%20%5Ctimes%20t)
for velocity differentiate x and y to get
![v_x=r\cos \theta =r\cos (\omega t)](https://tex.z-dn.net/?f=v_x%3Dr%5Ccos%20%5Ctheta%20%3Dr%5Ccos%20%28%5Comega%20t%29)
![v_y=0+r(\sin \theta )=r\sin (\omeag t)](https://tex.z-dn.net/?f=v_y%3D0%2Br%28%5Csin%20%5Ctheta%20%29%3Dr%5Csin%20%28%5Comeag%20t%29)
Height at any time t is given by
![h=1+10(1-\cos \theta )=1+10(1-\cos (\frac{\pi t}{9}))](https://tex.z-dn.net/?f=h%3D1%2B10%281-%5Ccos%20%5Ctheta%20%29%3D1%2B10%281-%5Ccos%20%28%5Cfrac%7B%5Cpi%20t%7D%7B9%7D%29%29)
Answer:
A. E={
and
is a multiple of 8}
Step-by-step explanation:
Let
represent the set of natural numbers. Then we can write;
.
The set of all natural numbers that are multiples of 8 is then written as;
and
is a multiple of 8.
E is the set of natural numbers that are multiples of 8 can then be written in set builder notation as;
E={
and
is a multiple of 8}
The correct choice is A