Answer:
x=0
Step-by-step explanation:
Hey there!
Firstly, we have to “add” the number “4” on each of your sides
Like: -2a -4 + 4> -8 +4
Cancel: -4 + 4 because it will give you “0”
Keep: -8+4 because it gives you “-4” and we have paid it off with -2a
Like: -2a>-4
Divide each of the sides by “-2”
Like: -2a/2 > -4/-2
Cancel: -2a/2 because it gives us “1”
Keep: -4/-2 because that’ll give us the answer on the left side of the inequality
So, a < 2 would be your answer
Good luck on your assignment and enjoy your day
~LoveYourselfFirst:)
The sum of adjacent sides is half the perimeter, so is 25 cm. Since the side lengths are consecutive numbers, they are both nearly half of 25 cm. One side is 12 cm, the other is 13 cm.
These lengths, then, are one leg and the hypotenuse of the right triangle that makes up half the parallelogram. The other leg, the altitude, is found using the Pythagorean theorem (or your knowledge of Pythagorean triples). It is
... altitude = √((13 cm)² -(12 cm)²) = √(25 cm²) = 5 cm
The length of the altitude is 5 cm.
<span>If 43% of adults say cashews are their favorite kind of nut, then if you ask 12 adults the result should be: 12 adults x 43%= 5.16 adults.
If you round the result, you will get 5 of 12 adults saying that cashews are their favorite nut. Then the right option would be </span><span>(b) at least four</span>
Answer:
The wedge cut from the first octant ⟹ z ≥ 0 and y ≥ 0 ⟹ 12−3y^2 ≥ 0 ⟹ 0 ≤ y ≤ 2
0 ≤ y ≤ 2 and x = 2-y ⟹ 0 ≤ x ≤ 2
V = ∫∫∫ dzdydx
dz has changed from zero to 12−3y^2
dy has changed from zero to 2-x
dx has changed from zero to 2
V = ∫∫∫ dzdydx = ∫∫ (12−3y^2) dydx = ∫ 12(2-x)-(2-x)^3 dx =
24(2)-6(2)^2+(2-2)^4/4 -(2-0)^4/4 = 20
Step-by-step explanation: