



56.6666... to the nearest tenth is <u>57</u>.
A cause and effect relationship exist between two variables, when one
variable event is made to happen by the other variable.
The situation which best shows causation is option <u>B) The amount of time a </u>
<u>cell phone is used affects the charge of the battery</u>.
Reasons:
Causation is the condition in which the occurrence of an event is caused by
or contributed to by another event. Such that the incident or observation
identified as the cause is responsible for the event, while the the
occurrence of the event depends on the cause being put in place.
- Option A) A rectangle of a given width can have different dimensions of length
- Option C) Milkshakes and ice cream bars can have different customer base, such that the number of milkshake and ice cream bars sold can be equal
- Option D) The balls used in a soccer match are provided by the officials of the game
Therefore;
- The situation which shows causation is B) <u>The amount of time a cell phone is used affects the charge of the battery</u>.
The option is correct because, a cell phone is powered by battery, and
therefore, the more the cell phone is used, the battery power is used up
and therefore, the charge on the battery is reduced.
Learn more here:
brainly.com/question/18404964
Answer:

Step-by-step explanation:
Given A = 5i + 11j – 2k and B = 4i + 7k, the vector projection of B unto a is expressed as 
b.a = (5i + 11j – 2k)*( 4i + 0j + 7k)
note that i.i = j.j = k.k =1
b.a = 5(4)+11(0)-2(7)
b.a = 20-14
b.a = 6
||a|| = √5²+11²+(-2)²
||a|| = √25+121+4
||a|| = √130
square both sides
||a||² = (√130)
||a||² = 130

<em>Hence the projection of b unto a is expressed as </em>
<em></em>
Hey there!
For this problem you need to replace x with 45
So the new problem is 2(45)+4
2 x 45 = 90
then 90+4 = 94
Your answer is 94
Hope I was able to help!
Answer:
Each knight will guard <u>288 minutes</u> in one day.
Step-by-step explanation:
Given:
A castle has to be guarded 24 hours a day. Five knights are ordered to split each day's guard duty equally.
Now, to find the minutes will each night spend on guard duty in one day.
As, in 1 hour there are 60 minutes.
Thus, in 24 hour there are 60 × 24 = 1440 minutes.
Total minutes for guarding = 1440 minutes.
So, there are knights ordered for guarding are = 5.
And each day's guard duty equally.
Now, to get the minutes will each night spend on guard duty in one day we divide the total minutes for guarding by number of knights that is 5:


Therefore, each knight will guard 288 minutes in one day.