Answer: option D is the correct answer
Step-by-step explanation:
In the given sequence, the consecutive terms differ by a common difference.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 351
d = - 343 - - 351 = - 343 + 351
d = 8
Therefore, the explicit function which defines the sequence is
f(n) = - 351 + 8(n - 1)
f(n) = 8n - 8 - 351
f(n) = 8n - 359
Answer:
? = 85°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5 , then
sum = 180° × 3 = 540°
sum of the angles around a point = 360° , so
interior angle on right = 360° - 250° = 110°
sum the interior angles and equate to 540°
110° + 115° + 120° + 110° + ? = 540° , that is
455° + ? = 540° ( subtract 455° from both sides )
? = 85°
Answer:
Step-by-step explanation:
The formula for determining the volume of a sphere is expressed as
Volume = (4/3) × πr³
The volume of the given sphere is expressed as 288π inches³. It means that
(4/3) × πr³ = 288π
4r³/3 = 288
4r³ = 3 × 288 = 864
r³ = 864/4 = 216
Taking cube root of both sides, it becomes
r = 6
The formula for determining the surface area of a sphere is expressed as
Area = 4πr²
π = 3.14
Therefore,
Surface area = 4 × 3.14 × 6² = 452.16 inches²
Answer:
The mean is 87 and the median is 87
Step-by-step explanation:
Answer:
16.3 is the percent of seniors reported a chronic medical condition chronic is long term recovery acute is short term recovery
Step-by-step explanation:
