Step-by-step explanation:
-2, -8/3, -10/3, -4, -14/3
Write as multiples of 1/3.
-6/3, -8/3, -10/3, -12/3, -14/3
This is an arithmetic sequence where the first term is -6/3 and the common difference is -2/3.
Therefore, the recursive formula is:
aᵢ₊₁ = aᵢ − 2/3, a₁ = -2
Answer:
B
Step-by-step explanation:
<em>Let
be the radius of one sphere.</em>
- Volume of sphere is

Since radius is r, the height of the cylinder will be 
Also, the cylinder has the same radius as the sphere: 
- Volume of Cylinder is

Plugging in the values we get: 
<u>Ratio of volume of 1 sphere to volume of cylinder is</u>:

The ratio is 1:3
Answer choice B is right.
Answer: 125/242
Step-by-step explanation: Probability is favorable outcomes over all outcome, since there were 250+234 total outcome, and 250 were favorable (girls), then the probability is 250/250+234=250/484=125/242
The picture in the attached figure
we know that
If a tangent segment and a secant segment are drawn to a <span>circle </span><span>from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment
</span>so
DC²=BC*CA-----> CA=DC²/BC
DC=25
BC=14
CA=25²/14-----> CA=44.64
CA=BC+BA----> BA=CA-BC----> BA=44.64-14----> BA=30.64
BA is the diameter
hence
<span>the length of diameter BA is 30.64----> round to the nearest tenth---> 30.6
</span>
the answer is<span>
the length of diameter BA is 30.6</span>