Answer:
843
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 24 and d = - 7 - (- 24) = - 7 + 24 = 17, thus
= - 24 + (51 × 17) = - 24 + 867 = 843
Answer:
She had at least 21
Step-by-step explanation:
She had at least 4+ 12 +5
She had at least 21
She spent 4 and 12 so she had 16 dollars
She had at least 5 left
so at the very least she had 16+5 which is 21, she may have had more
Answer:
Volume_stack = 214 n^3
Step-by-step explanation:
The volume of the stack is the sum of the volume of the two boxes
The rectangular box has a volume of
V_rectbox = long*wide*height
V_rectbox = 6 in * 5in * 5 in = 150 in^3
The volume of the cube is
V_cube = long*wide*height , but since all its sides are equal
V_cube = side^3 = (4 in)^3 = 64 in^3
Volume_stack = V_rectbox + V_cube = 150 in^3 + 64 in^3
Volume_stack = 214 n^3
The equation f(t) = -16t² + 176t is a quadratic equation, and so its maximum must be found at its vertex. In order to get this, you can use the formula
t = -b/2a.
Substituting, we have:
t = -176/2(-16) = 5.5 seconds.
But this is just only the time needed for the flare to reach its maximum height. To solve for the time the flare has been in the air, we multiply the maximum height by 2.
2 x 5.5 seconds = 11 seconds.