Answer:
x < -3 is the solution for the given inequality - 8 > 8x + 16.
Step-by-step explanation:
Here, the given inequality is - 8 > 8x + 16
Now, we know if equal (positives) are added, subtracted multiplied or divided on both sides of in equality, the signs remain unchanged.
⇒ - 8 > 8x + 16 is equivalent to - 8 + 8 > 8x + 16 + 8
or, 0 > 8x + 24
⇔ -8x > 8x + 24 - 8x
⇔ -8 x > 24
or, 
(REVERSE SIGN as dividing by a a negative number)
or, x < -3
or, x < -3 is the solution for the given inequality.
Answer:
Step-by-step explanation:
Given the volume of the sphere expressed as V = 4/3πr³
If the balloon is being inflated so that the radius increases at a constant rate r(t) = 12t + 2, the function that represents the volume of the weather balloon in terms of time can be derived by simply substituting r = 12t+2 into the formula for finding the volume of the balloon as shown;
V(t) = 4/3 π(12t+2)³
V(t) = 4π(12t+2)³/3
b) To find the volume of the balloon 12 seconds after inflation begins, we will substitute t = 12 into the resulting equation in (a)
V(12) = 4π(12(12)+2)³/3
V(12) = 4π(144+2)³/3
V(12) = 4π(146)³/3
V(12) = 4π(3,112,136)/3
V(12) = 39,108,254.38/3
V(12) = 13,036,084.79
Volume of the balloon to neatest cube metres is 13,036,085m³
Answer:
Area of semi circle = 1/2 ×πr²
π = 3.142 and r = if 10cm
Area = 1/2 × 3.142 × 10²
Area = 1/2 × 3.142 × 100
Area = 3.142 × 50
Area = 157.10cm²
Step-by-step explanation:
This answer is the SAS therom because you have 2 congruent sides and then you have the perpendicular bisector, which is a right angle
Good evening
Answer:
- 18x + 15
- 3(6x + 5)
Step-by-step explanation:
Unfortunately you didn’t provide the expressions to chose from ,however we can get other expressions From this one like this:
5(4x+3) - 2x = 20x + 15 - 2x
= (20x - 2x) + 15
= 18x + 15
we can also write 18x + 15 = 3×(6x) + 3×(5x) = 3(6x + 5)
then
these two expressions :
are equivalent to 5(4x+3) - 2x
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