Answer:
1/6
Step-by-step explanation:
jason ate 1/2, so only 1/2 of the pizza is left.
1 ÷ 2 = 1/2
he split it equally between himself and 2 friends (3 people)
1/2 ÷ 3
= 1/2 × 1/3
=1/6
Answer:
3,451 cm³
Step-by-step explanation:
The ball is a sphere.
Formula for finding the volume of a sphere = ⁴/3*πr³
Volume of the 3 balls = 3(⁴/3*πr³)
Where,
radius (r) = ½ of diameter = ½(13) = 6.5 cm
Plug in the values into the formula:
Volume of the 3 balls = 3(⁴/3*π*6.5³)
= 4*π*274.625
= 3,451.03953 ≈ 3,451 cm³
Answer:
the common ratio is either 2 or -2.
the sum of the first 7 terms is then either 765 or 255
Step-by-step explanation:
a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.
so,
a1
a2 = a1×f
a3 = a2×f = a1×f²
a4 = a3×f = a1×f³
the problem description here tells us
a3 = 4×a1
and from above we know a3 = a1×f².
so, f² = 4
and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).
again, the problem description tells us
a2 + a4 = 30
a1×f + a1×f³ = 30
for f = 2
a1×2 + a1×2³ = 30
2a1 + 8a1 = 30
10a1 = 30
a1 = 3
for f = -2
a1×-2 + a1×(-2)³ = 30
-10a1 = 30
a1 = -3
the sum of the first n terms of a geometric sequence is
sn = a1×(1 - f^(n+1))/(1-f) for f <>1
so, for f = 2
s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765
for f = -2
s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =
= -1×-255 = 255
Answer:
y = x/5 -11
Step-by-step explanation:
y = mx + b (slope intercept form)
5y = x-55
y = x/5 -11
