Answer: −6b+46
Step-by-step explanation:
62 - 6b - 16
−6b+(62−16)
−6b+46
Answer:
37 yd²
Step-by-step explanation:
The computation of the surface area of this triangular pyramid is shown below:
The surface area of this triangular pyramid is
But before that
Lateral area = 3(1 ÷ 2) × base × height
= (3 ÷ 2)(4 yd)(5 yd)
= 30 yd²
Now
base area = 1 ÷ 2 × base × height
= 1 ÷ 2(4 yd)(3.5 yd)
= 7 yd²
Now the total surface area is
surface area = lateral area + base area
= 30 yd² + 7 yd²
= 37 yd²
Using x to represent the number: Five more than a number (x+5)
Is less than 17 (>17)
x+5 < 17
Solution: x<12
Hope this helped!
Answer:
16
x
^4 − 96
x^
3 + 216
x
^2 − 216
x + 81
Step-by-step explanation:
Use the binomial expansion theorem to find each term. ∑
∑The binomial theorem states ( a + b ) n = n ∑ k = 0 n C k ⋅ ( a n − k b k ) . 4 ∑ k = 0 4 ! ( 4 − k ) ! k ! ⋅ ( 2 x ) 4 − k ⋅ ( − 3 ) k
Expand the summation. 4 ! ( 4 − 0 ) ! 0 ! ⋅ ( 2 x ) 4 − 0 ⋅ ( − 3 ) 0 + 4 ! ( 4 − 1 ) ! 1 ! ⋅ ( 2 x ) 4 − 1 ⋅ ( − 3 ) + 4 ! ( 4 − 2 ) ! 2 ! ⋅ ( 2 x ) 4 − 2 ⋅ ( − 3 ) 2 + 4 ! ( 4 − 3 ) ! 3 ! ⋅ ( 2 x ) 4 − 3 ⋅ ( − 3 ) 3 + 4 ! ( 4 − 4 ) ! 4 ! ⋅ ( 2 x ) 4 − 4 ⋅ ( − 3 ) 4
Simplify the exponents for each term of the expansion. 1 ⋅ ( 2 x ) 4 ⋅ ( − 3 ) 0 + 4 ⋅ ( 2 x ) 3 ⋅ ( − 3 ) + 6 ⋅ ( 2 x ) 2 ⋅ ( − 3 ) 2 + 4 ⋅ ( 2 x ) ⋅ ( − 3 ) 3 + 1 ⋅ ( 2 x ) 0 ⋅ ( − 3 ) 4
Simplify each term.
= 16
x
^4 − 96
x^
3 + 216
x
^2 − 216
x + 81
