Simplify 140/96 into 35/24 since they have the common factor 4. Then convert it to 1 whole and 11/24
Answer:
2 cubic yards
Step-by-step explanation:
In this problem we are simply finding the volume of a 3D shape. We can calculate this by L × W × H.
9.5 × 12 × 1/3 = 48 ft³
(Note: 4 inches is 1/3 foot)
This means Rosilaine needs 48 cubic feet of wood chips. However, the wood chips are sold in yards, so we need to convert cubic feet to cubic yards.
48 ÷ 27 = 1.777 (repeating decimal)
This means Rosilaine should buy 2 cubic yards of wood chips.
a.
In order to find the common ratio, we just need to divide a term by the term that comes before it.
So using the terms 20 and -5, we have:

b.
The recursive rule can be found with the formula:

Where an is the nth term and q is the ratio. So we have:

c.
The explicit rule can be written as:

Where an is the nth term, a1 is the first term and q is the ratio. So:
Answer:
9³
Step-by-step explanation:

Considering the images (a),(b),(c),(d),(e),(f) the oriented path is
(a) Negative
(b) Positive
(c) Positive
(d) Zero
(e) Zero
(f) Zero
calculating each quadrant's line integral and symmetry.
In calculus, a line integral is an integral where the function being evaluated is along a curve. A line integral is also known as a route integral, curve integral, or curvilinear integral.
What does a Line integral mean?
- A line integral makes it possible to figure out a surface's area in three dimensions. Numerous situations call for the use of line integrals. They can be used, for instance, in electromagnetics to determine the work done on a charged particle moving along a curve in a force field that is represented by a vector field.
- Path, curvilinear, and curve integrals are other terms for line integrals. There are several uses for line integrals, including electromagnetics, where it is used to calculate the force exerted on a charged particle moving along a curve in a force field created by a vector field.
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