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:
This is the correct way to set up the equation:
9x + 88 + 6x + 182 = 180
I'm going to move some things around so we can combine like terms. It now reads:
9x + 6x + 88 + 182 = 180
9x + 6x = 15x, so the equation now reads:
15x + 88 + 182 = 180
88 + 182 = 270, so the equation reads:
15x + 270 = 180
Subtract the 270 from both sides. 180 - 270 is -90:
15x = -90
Divide both sides by 15. -90 divided by 15 = -6:
x = -6
Now we can substitute -6 back into the separate equations.
9(-6) + 88 = ?
9 times -6 is -54. -54 + 88 = 34.
6(-6) + 182 = ?
6 times -6 = -36. -36 + 182 = 146
Now we can add 34 and 146 together.
34 + 146 = 180
I hope I helped answer your question!
Step-by-step explanation:
Answer:
it depends on how long she lived there. if she loved there for say 18 years then your question would look like this
Step-by-step explanation:
h = 210 + 33 × 18
18 × 33 = 594
594 + 210 = 804
h = 804
Answer:
3x7 • (4x2 - 5x + 3)
Step-by-step explanation:
End of step 1- (3 • (x7)) • ((22x2 - 5x) + 3)
End step 2- 3x7 • (4x2 - 5x + 3)
Step 3-Trying to factor by splitting the middle term
3.1 Factoring 4x2-5x+3
The first term is, 4x2 its coefficient is 4 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is +3
Step-1 : Multiply the coefficient of the first term by the constant 4 • 3 = 12
Step-2 : Find two factors of 12 whose sum equals the coefficient of the middle term, which is -5 .
-12 + -1 = -13
-6 + -2 = -8
-4 + -3 = -7
-3 + -4 = -7
-2 + -6 = -8
-1 + -12 = -13
1 + 12 = 13
2 + 6 = 8
3 + 4 = 7
4 + 3 = 7
6 + 2 = 8
12 + 1 = 13
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
3x7 • (4x2 - 5x + 3)
