Answer:
I think the table is linear. The total amount after one year is 248 ants.
Step-by-step explanation:
Answer:
765 J
Step-by-step explanation:
We are given;
Mass of bucket = 30 kg
Mass of rope = 0.3 kg/m
height of building= 30 meter
Now,
work done lifting the bucket (sand and rope) to the building = work done in lifting the rope + work done in lifting the sand
Or W = W1 + W2
Work done in lifting the rope is given as,
W1 = Force x displacement
W1 = (30,0)∫(0.2x .dx)
Integrating, we have;
W1 = [0.2x²/2] at boundary of 30 and 0
W1 = 0.1(30²)
W1 = 90 J
work done in lifting the sand is given as;
W2 = (30,0)∫(F .dx)
F = mx + c
Where, c = 30 - 15 = 15
m = (30 - 15)/(30 - 0)
m = 15/30 = 0.5
So,
F = 0.5x + 15
Thus,
W2 = (30,0)∫(0.5x + 15 .dx)
Integrating, we have;
W2 = (0.5x²/2) + 15x at boundary of 30 and 0
So,
W2 = (0.5 × 30²)/2) + 15(30)
W2 = 225 + 450
W2 = 675 J
Therefore,
work done lifting the bucket (sand and rope) to the top of the building,
W = 90 + 675
W = 765 J
Answer:
The cross multiplication would be 10(350) = 22(x).
Step-by-step explanation:
We would first convert meters to centimeters. There are 100 cm in a meter; this means 3.5 m = 3.5(100) = 350 cm.
The ratio of the height to base of the model is 10/22. The ratio of the playhouse would then be x/350. This gives us
10/22 = x/350
Cross multiplying, we would have 10(350) = 22(x).
<h2>
Answer:</h2>
The correct options are:
Choice A
Choice C
and Choice E
<h2>
Step-by-step explanation:</h2>
We are asked to find the value of:
60% of 94
We know that: it is represented as:
Choice A)
We know that:
could also be written as:
Since we multiplied and divide by 10 such that:
Hence, option: A is correct.
Choice B)
This option is incorrect.
Since by choice A we get that the correct expression is:
Choice C)
We get:
This option is correct.
Since,
Choice D)
This option is incorrect because the actual expression is:
Choice E)
[/tex]\dfrac{60}{100}\cdot 94[tex]
This is the correct expression.
