Answer:
r = -4
Step-by-step explanation:
Step 1: Write out equation
4r + 8 + 5 = -15 - 3r
Step 2: Combine like terms
4r + 13 = -15 - 3r
Step 3: Add 3r to both sides
7r + 13 = -15
Step 4: Subtract 13 on both sides
7r = -28
Step 5: Divide both sides by 7
r = -4
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➷ 5 + 3 + 3 + 4 = 15
5/15 * 5/15 = 25/225
This can be simplified to 1/9
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Option 4 is correct i.e. <span>The volume of the box is increasing at a rate of 192 cm^3/min.
</span>Given : Volume of the rectangular box = x²h
where x is edge and h is height.
The edge and the height are varying with time, therefore, we write,x = x(t)
h = h(t)
dh/dt = -3 and we shall calculate when x = 4, dx/dt = 2 and when h=15
V = x²h dV/dt = (2x × dx/dt × h) + (x² × dh/dt) dV/dt = 2×4×2×15 + (4)^2 ×(-3) dV/dt = 240 - 48
dV/dt = 192
Because dV/dt is positive, hence the volume is increasing
1. Li will not have enough apples. This is because 9 apples that each weigh approximately 150 grams would weigh a total of 1.35kg.
2. The caterpillar weighs 65.2 grams.
Hope this helps!
