PLS HELP pls explain im confused
1 answer:
Answer:
f(x) = 4x 1 < x ≤ 6
f(x) = 2.50x x > 6
(Also see image attached)
Step-by-step explanation:
The function f(x) is the cost for x hours of whatever work
Considering the 3 rows of the table, the first row has already been filled in and it states that if the number of hours is one or less, the cost is 0
We have to fill in the rest
2nd to sixth hour is 4 per hour so this can be represented as
f(x) = 4x 1 < x ≤ 6
Essentially this states that if the number of hours is more than 1, the cost is $4 per hour pro-rated if necessary)
For the last row we have
f(x) = 2.50x x > 6
Note that the tricky part here is trying to figure out when the second hour starts. The second hour starts immediately after passage of exactly one hour Thus if the total time worked is 1 hour and 15 minutes, you will still be charged for the 15 minutes over and above the first hour is $4 per hour. That means you will be charged for 15 minutes which is 1/4th of the second hour and this will cost you $1
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Answer:
Weight of empty bottle = 0.8 kg
Weight of water = 1.6 kg
Step-by-step explanation:
As given , A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full.
Let us assume
Weight of empty bottle = x
Weight of water = y
Now,
when the bottle is 1/4 full of water
then,
weight of water = ×y
As given , Bottle weight = 1.2 , when it is 1/4 full of water
⇒ Weight of water + weight of bottle = 1.2
⇒ ×y + x = 1.2
⇒ y + 4x = 4.8 .......(1)
Also given, A bottle weight = 2.4 , when it is full of water
⇒ Weight of water + weight of bottle = 2.4
⇒ y + x = 2.4 ......(2)
Subtract equation (2) from equation (1) , we get
y + 4x - ( y+ x) = 4.8 - 2.4
⇒ y + 4x - y - x = 2.4
⇒3x = 2.4
⇒x = = 0.8 kg
and y = 2.4 - x = 2.4 - 0.8 = 1.6 kg
∴ we get
Weight of empty bottle = x = 0.8 kg
Weight of water = y = 1.6 kg
1st : Find the volume of the rectangular block:
12 × 10 × 20 = 2400 cm^3.
2nd : Find the volume of a cylinder
Where r is radius & h is height.
so:
= 76.02654222 cm^3
Lastly, divide the volume of the rectangular block by the volume of the cylinder
2400 ÷ 76.026 = 31.5679226
You can't round it up so the answer is F) 31
12 × 10 × 20 = 2400 cm^3.
2nd : Find the volume of a cylinder
Where r is radius & h is height.
so:
= 76.02654222 cm^3
Lastly, divide the volume of the rectangular block by the volume of the cylinder
2400 ÷ 76.026 = 31.5679226
You can't round it up so the answer is F) 31