0.666... is equal to 2/3 and 0.75 is equal to 3/4. 2/3 x 3/4= 6/12 which simplifies to 1/2 or 0.5.
To divide, multiply the first number by the reciprocal of the second, so 2/3 x 4/3 = 8/9.
Answer:
0.204 KN
Step-by-step explanation:
Height above cube h= (100-15)/100 = 0.85 m
a) force on the top of the cube = ρgh×area
= 1000×9.81×0.85 = 8330 N/m^2
= 833 KN/m^2*0.15^2= 0.187 KN
b) Force on one side of the cube
on top = 8.33 KN/m^2
at bottom ρgh
= 1000×9.8×100/100
=9800 N/m^2
Net Force = area of the diagram
= 8.33×(15/100)^2 + 1/2(9.8-8.33)×(15/100)^2
= 0.204 KN
Answer:
A. 77.4
Step-by-step explanation:
<u>Linear approximation formula</u>

Given function:




Use the chain rule to differentiate the function.

Differentiate the two parts separately:


Put everything back into the chain rule formula:

.
The <u>linear approximation</u> at a = 8 is:

Finally, substitute x = 7.8 into the <u>linear approximation equation</u>:

The answer is all of the students are members of the frequent visitor program.
Let x be the number of students that are members of the frequent visitor program.
Let y be the number of students that are not members of the frequent visitor program.
There are in total 19 students: x + y = 19
x students will pay $11, y students will pay $13 for the ticket. Totally, it will be $209: 11x + 13y = 209
Now, we have the system of two equations:
x + y = 19
11x + 13y = 209
____________
Use the method of substitution:
x + y = 19
⇒ x = 19 - y
____________
11(19-y) + 13y = 209
11·19 - 11·y + 13y = 209
209 - 11y + 13y = 209
____________
Rearange:
13y - 11y = 209 - 209
2y = 0
⇒ y = 0
Since y = 0, x = 19:
x + y = 19
x + 0 = 19
x = 19
This means that all of the students in the group are members of the frequent visitor program.