Answer:
-1280
Step-by-step explanation:
Given a₁ = -10, n = 8, r =2
Required to find nᵗʰ term.
From the general formula: aₙ= a₁ (r)ⁿ⁻¹
Therefore nᵗʰ = -10(2)⁸⁻¹
= -10(2)⁷
= - 10(128)
= - 1280
The answer is 114sqrt{6} in³
A regular hexahedron is actually a cube.
Diagonal of a cube D is a hypotenuse of a right triangle which other two legs are face diagonal (f) and length of a side (a):
D² = f² + a²
Face diagonal is a hypotenuse of a right triangle which sides are a and a:
f² = a² + a² =2a²
D² = f² + a²
f² = 2a²
D² = 2a² + a² = 3a²
D = √3a² = √3 * √a² = √3 * a = a√3
Volume of a cube with side a is: V = a³
D = a√3
⇒ a = D/√3
V = a³ = (D/√3)³
We have:
D = 8√2 in
Answer:
75 roasted turkeys.
Step-by-step explanation:
Ally's Eats had 75 roasted turkeys.
Bob's Goods had 4/5 as many roasted turkeys as Ally's Eats, hence, the number of roasted turkeys Bob's Goods had is:
4/5 * 75 = 60 roasted turkeys
Ally's Eats had 5/6 as many roasted turkeys as Charlotte's Market. In other words, Charlotte's market had 6/5 as many roasted turkeys as Ally's Eats:
6/5 * 75 = 90 roasted turkeys.
The average is given as the sum of all toasted turkeys in the three shops divided by 3. Hence:
A = (75 + 60 + 90) / 3
A = 225 / 3 = 75 roasted turkeys
The average number of roasted turkeys in the three shops is 75.
X - the number
The number is <span>14.</span>