Answer:
Raquel should adjust the number of rotations to 115.81 rotations
Step-by-step explanation:
step 1
Find the circumference of the wheels that are 2.5 cm in diameter
The circumference is equal to

we have

assume

substitute


step 2
Find the number of rotations
Divide 10 meters by the circumference


step 3
For a diameter of 2.75 cm find how should she adjust the number of rotations so that the robot travels the same distance
Find the circumference of the wheels
The circumference is equal to

we have

assume

substitute


step 4
Find the number of rotations
Divide 10 meters by the circumference


Answer:
22.916666666 The six is repeated
Step-by-step explanation:
10/12=8.3333333 and 8.3333333*27.5=22.916666666 repeated
Cramer's rule works as follows:
x+3y=16
3x+y=8
Then
x=Dx/D
y=Dy/D
where Dx,Dy,D are 2x2 matrices formed from of coefficients and right hand side.
D=
1 3
3 1
=1-9=-8
Dx=matrix D with first column replaced by the vector [16,8]=
16,3
8 1
=16-24
=-8
Dy=matrix D with second column replaced by the vector [16,8]=
1 16
3 8
=8-48
=-40
Therefore
x=-8/-8=1
y=--40/-8=5
Check:
x+3y=1+3(5)=16
3x+y=3(1)+5=8 ok.
Answer:
-70003
Step-by-step explanation:
-70000 - 3 = - 70003
I assume that you want to know the temperature at a certain timing.
Well, you know that at 12:00 pm, the temperature was 12 F and that it decreases by a steady rate of 2 F each hour.
This means that at 1:00 pm, the temperature was 12-2 = 10 F
At 2:00 pm, the temperature was 10-2 = 8 F
At 3:00 pm, it was 8-2 = 6 F
.......and so on
You can follow this sequence to the timing you are looking for.