If y = xⁿ
∫y dx = xⁿ⁺¹ / (n + 1) + C Provided n ≠ -1.
y = √x
y = x^(0.5)
∫y dx = x^(0.5+1) / (0.5 + 1) = x^(1.5) / 1.5 = x^(1.5) / (3/2)
∫y dx = (2/3) x^(1.5) + C.
∫y dx = (2/3) x^(3/2) + C.
∫y dx = (2/3)√x³ + C
Answer:
Step-by-step explanation:
1/4 of 2/3 is just (1/4) / (2/3) or (1/4)(3/2)
1/4 * 3/2= 3/8
She needs to use 3/8 of a cup
Answer:
11 bags
Step-by-step explanation:
725 jelly beans evenly into 29 plastic containers:
725/29=25 jelly beans in each plastic containers
275/25=11 Jim found eleven bags
Answer:16.56 cm
Step-by-step explanation:
5.8*1.2=6.96
6.4*.8=5.12
1.2+.8=2
5.6-2-3.6
5.6*.8=4.48
4.48+5.12+6.96=16.56
Answer:
1. a) 8 cm × 8 cm = 64 sq cm
b) (64 cm²) × 6 squares = 384 sq cm
2. 152 sq cm
Step-by-step explanation:
1. The area of any rectangle is the product of its length and width. For a square, length and width are the same. The square faces of your die have length and width of 8 cm, so the area is (8 cm) × (8 cm) = 64 sq cm.
A cube has 6 faces of identical size, so the total surface area is 6 times the area of one face. Your cube's surface area is 6 × 64 sq cm = 384 sq cm.
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2. A rectangular prism (cuboid) has 6 faces—3 pairs that are the same size. The area is the total of the areas of these pairs of faces. It can be computed by ...
A = 2(LW + WH + LH)
For your rectangular prism, this is ...
A = 2((8 cm)×(6 cm) + (6 cm)×(2 cm) + (8 cm)×(2 cm))
= 2(48 sq cm + 12 sq cm + 16 sq cm)
= 2×(76 sq cm)
= 152 sq cm
