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Alex787 [66]
3 years ago
9

Given the 5th term is 103 and the come differences is -6 2/3 what is the 6th term?

Mathematics
1 answer:
LekaFEV [45]3 years ago
6 0

Answer:

  102 1/3

Step-by-step explanation:

To find the 6th term, add the common difference to the 5th term:

  103 + (-6 2/3) = 102 1/3

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A concrete block has a cy
geniusboy [140]
To solve this problem, we will subtract the volume of the cylinder from the volume of the rectangular prism.

The volume of a cylinder is: pi*r^2*h
Substitute 2 in for r and 6 in for h. If the diameter is 4, then the radius is 2.
pi*2^2*6
pi*4*6
pi*24
=75.4 ft^2

The volume of the rectangular prism is: l*w*h.
Substitute 6 in for l, w and h, since all edges are equal.
6*6*6
36*6
=216 ft^2

Subtract 75.4 from 216
216-75.4=140.6

There is 140.6 cubic feet of concrete left in the block.
3 0
3 years ago
Strong positive<br> strong negative<br> weak positive<br> weak negative
Nesterboy [21]
If you're looking for the trend name, I would say Strong Positive, or (a).


6 0
3 years ago
The polynomial p(x)=x^3-6x^2+32p(x)=x 3 −6x 2 +32p, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 6, x, squar
Ray Of Light [21]

Answer:

(x-4)(x-4)(x+2)

Step-by-step explanation:

Given p(x) = x^3-6x^2+32 when it is divided by  x - 4, the quotient gives

x^2-2x-8

Q(x) = P(x)/d(x)

x^3-6x^2+32/x- 4  =  x^2-2x-8

Factorizing the quotient

x^2-2x-8

x^2-4x+2x-8

x(x-4)+2(x-4)

(x-4)(x+2)

Hence the polynomial as a product if linear terms is (x-4)(x-4)(x+2)

8 0
3 years ago
A company is considering the purchase of a new machine for $75,660. management predicts that the machine can produce sales of $2
nekit [7.7K]

The company is considering the purchase of a new machine for $75,660 (based on the available data), and the payback period is <u>24 years</u>.

<h3>What is the payback period?</h3>

The payback period is the time the company requires to recoup its investment for the new machine.

The payback period can be computed by dividing the investment cash outflows by the annual net cash inflows.

<h3>Data and Calculations:</h3>

Initial investment in new machine = $75,660

Annual depreciation expense = $4,600

Investment period = 10 years

Annual sales revenue = $20,000

Annual expenses = $16,800

Ne annual cash inflow = $3,200 ($20,000 - $16,800)

Payback period = 24 years ($75,660/$3,200)

Thus, since the payback period is <u>24 years</u>, while the investment period is 10 years, it sounds unwise for the company to continue the investment.

Learn more about the payback period at brainly.com/question/23149718

#SPJ1

3 0
2 years ago
Plsssss help before it gets locked
ddd [48]
A. Is answer F

B. Could be E or F
5 0
2 years ago
Read 2 more answers
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