Step-by-step explanation:
Given
f(x) = |x + 2|
g(x) = - (x)²
Now
(g•f) (3) = g ( 3 + 2 )
= g(5)
= - (5)²
= -25
Hope it will help :)
8.7 km
Tan(30)= 5/x
5/tan(30)
3/8+1/8=4/8=1/2 simplified
4/5+3/4= common denominator of 20
new fraction: 16/20+15/20
31/20=1 11/20 simplified
6/7+2/5 common denominator of 35
new fraction: 30/35+14/35
44/35
1 9/35 simplified
Answer: the third option is correct
Step-by-step explanation:
The first matrix is a 2 × 3 matrix while the second matrix is a 3 × 2 matrix. To get the product of both matrices, we would multiply each term in each row by the terms in the corresponding column and add.
1) row 1, column 1
1×2 + 3×3 + 1×4 = 2 + 9 + 4 = 15
2) row 1, column 2
1×-2 + 3×5 + 1×1 = - 2 + 15 + 1 = 14
3) row 2, column 1
-2×-2 + 1×3 + 0×4 = - 4 + 3 + 0 = - 1
4) row 2, column 2
- 2×-2 + 1×5 + 0×1 = 4 + 5 = 9
The solution becomes
15 14
- 1 9
Answer:
44 small cartoon
176 medium cartoon
44 large cartoon
eggs needed = 3256
Step-by-step explanation:
Given that,
small cartoons holds 8 eggs
number of small cartoons = 1/6 * 264
= 44
medium cartoons holds 12 eggs
number of medium cartoons = 2/3 * 264
= 176
large cartoons holds 18 eggs
number of large cartoons = (1 - (1/6+2/3) )* 264
= 44
Number of eggs needed to fill the 264 cartons are sum of number of cartoons into number of eggs in each cartoons
44(8) + 176(12) + 44(18)
= 352 + 2112 + 792
= 3256