Answer:
192 cm^3/min
Step-by-step explanation:
Differentiating the volume expression, we get ...
dV/dt = 2xh(dx/dt) +x^2(dh/dt)
We are given that ...
x = 4 cm, dx/dt = 2 cm/min, h = 15 cm, dh/dt = -3 cm/min
Putting these values into the formula for volume rate of change, we get ...
dV/dt = 2(4 cm)(15 cm)(2 cm/min) +(4 cm)^2(-3 cm/min)
= 240 cm^3/min -48 cm^3/min
dV/dt = 192 cm^3/min
Answer:
The required answer is 
.
Step-by-step explanation:
Consider the provided numbers:
We need to subtract in base 4.
The place value of 201 is:
1 is at units place, 0 is at four's place and 2 is at 4 squared place.
The place value of 32 is:
2 is at units place and 3 is at four's place.
201
- 32
Start subtracting the numbers from the unit place.
Here, we need to subtract 2 from 1, which is not possible so borrow 4 from the four's place but there is 0 at four's place so borrow from 4 squared place and change 2 to 1.
Also change 0 to 4 because we have borrow 4 from squared place.
Now 1 can borrow 4 from the four's place which will become 1+4=5 and change 4 at four's place to 3.
Now the number will look like this:
135
- 32
Now subtract the number as shown.
135
<u>- 32</u>
103
Hence, the required answer is .
Answer:
153 miles
Step-by-step explanation:
1 inch = 36 miles.
First, find the measurement of miles for 1/4 inch. Divide 36 with 4:
36/4 = 9
1/4 inch. = 9 miles.
Next, find the amount of measurement of miles per 4 inches:
4 x 36 = 144 miles.
Finally, combine the two measurements together:
144 + 9 = 153 miles.
153 miles is your answer.
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Answer:
The probability is of selecting a green shirt is 8
Step-by-step explanation:
24 - 4 = 20
20 - 12 = <u>8</u>
Answer:
KM = 7 Units
Step-by-step explanation:
In the given structure ΔKLM
∠KLM = 30° and side KL = 14 and ∠KML = 90°
and we have to find the measurement of KM.
From right angle triangle KLM
Side Sin30° = KM/KL = KM/14
KM = 14×sin30° = 14×1/2 = 7
So the answer is KM = 7 Units
