Answer:
A. 1.65 k = 48
B. 105
Step-by-step explanation:
- If we name "k" the amount of apples that Kayla has, and "r" the amount of apples thata Richard has, we know that r + k =48 (the two of them together have 48 apples).
- In addition, we know that Kayla has 35% more apples than Richard. This means that k (1-0.35) = r (the apples of Richard are 0.35 % smaller than the apples of Kayla). Then 0.65 k = r
- Then, taking these two considerations together, r + k= 48 and 0.65 k= r, imply 0.65 k + k = 48 (I just replace the second equation into the first one). Which finally means that k= 29 (and r = 19 because r+ k=48).
- If Kayla has 162 apples, and according previous statements, she has 35% more apples than Richard, this means that 0.65 k= r, therfore if k=162, r= 162 x 0.65 = 105 (Richar has 105 apples).
Answer:
f(7) = 1.08
Step-by-step explanation:
Given that:
f(5) = 12
A geometric sequence that is defined recursively by the formula
.....[1 ] where, n is an integer and n> 0.
Substitute n = 6 in [1] we have;
Using f(5) = 12 we have;
⇒
We have to find f(7).
Substitute n = 7 in [1] we have;
Substitute the given values f(6) = 3.6 we have;
Simplify:
f(7) = 1.08
Therefore, the value of f(7)to the nearest hundredth is, 1.08
Answer:
9005.90 m
Step-by-step explanation:
The radius of the collider is half the diameter or 2150 m. The arc length S subtended by the angle is given by
S = r×(theta) where theta is the angle in radians. We need to convert the degree angle into radian angle using the following:
240° × (2pi/360°) = 4.19 radians
Therefore, the distance traveled by the atoms is so equal to the arc length S so
S = (2150 m)×(4.19 rad) = 9005.90 m
Answer:
It's B
Step-by-step explanation:
B