Answer:
2160 cm³/hour
Step-by-step explanation:
By default, we know that the volume of a cube is given as s³
Thus, the Volume function, V = s³
When we differentiate with respect to time we have
dV/dt = 3s² (ds/dt), where ds/dt = 0.2
Then we go ahead and substitute all the given parameters
dV/dt = 3 x 60 x 60 x 0.2
dV/dt = 10800 * 0.2
dV/dt = 2160 cm³/hour
This means that the volume decreases by a rate of 2160 cm³/hour at the instant its edge is 60 cm
Answer:
8x^2+4x-24
Step-by-step explanation:
A=LW
(4x-6)(2x+4)
8x^2-12x+16x-24
8x^2+4x-24
#1
0.4
Additive=-0.4
Multiplicative=1/0.4
#2
5 5)6=35/6
- Additive=-35/6
- Multiplicative=6/35
#3
5x-3y-2x+3y=3x
- Additive=-3x
- Multiplicative=1/3x
#4
-11a-13b+7a-3b=-4a-16b
Additive
Multiplicative
#5
8x-7y-(3-6y)=8x-7y-3+6y=8x-y-3
Additive.
Multiplicative
Answer:
3.78
Step-by-step explanation:
Percentage solution with steps:
Step 1: We make the assumption that 9 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=9$.
Step 4: In the same vein, $x\%=42$.
Step 5: This gives us a pair of simple equations:
$100\%=9(1)$.
$x\%=42(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{9}{42}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{42}{9}$
$\Rightarrow x=466.67\%$
Therefore, $42$ is $466.67\%$ of $9$.
Answer:
-1.32-34.7= -36.02
Step-by-step explanation:
A negative minus a negative will always give you another negative.
So, to do this quickly just see this equation "-1.32-34.7" as this equation "1.32+34.7" and add a negative once you've finished.
1.32+34.7= 36.02
Now add the negative.
-36.02
