Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10
Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14
Answer:
205
Step-by-step explanation:
Given
N(t) = 100 + 15t is the equation of the relation.
We're asked to find N(7)
Taking a look at the question again and putting it side by side the equation
N(t)
N(7)
We can deduce that t = 7, and as such, solve for it in the equation given
N(7) = 100 + 15(7)
N(7) = 100 + 105
N(7) = 205
Therefore, the number of unread mails after 7 days will be 205
Answer:
C. It is a function because none of the ordered pairs have the same y-value.
Step-by-step explanation:
<span>The coefficient for x^7*y is equal to 8Choose7 which is 8!/7! which is 8, or answer b. Pascal's triangle may be used to capture this as well, or use the exponent as above.</span>
