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Mathematics

2 answers:

denis-greek [22]2 years ago

4 0

here u go! sorry I didn't give an exact answer but i hope this works bc it did for me

zhenek [66]2 years ago

4 0

Volume:
Rectangular prism on top of the other rectangular prism:

Length • Height • Width

Substitute

2 • 1 • 6 = 12

Bottom rectangular prism:

Length • Width • Height

Substitute

8 • 4 • 6 = 192

Add

192 + 12 = 204 cm^3

Surface area:

Upside down T: 2((8 • 4)+(2•1)) = 68

Top down part 1: (2 • 6) = 12

Top down part 2: 2(3 • 6) = 36

Side part 1: 2(6 • 4) = 48

Side part 2: 2(6 • 1) = 12

Bottom: 8 • 6 = 48

Add: 68 + 12 + 36 + 48 + 12 + 48 = 224 cm^2

Volume: 204 cm^3

Surface area: 224 cm^2

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Which of the following is an arithmetic sequence?

alexandr1967 [171]

Answer: Only the second sequence is arithmetic.

Work:
An arithmetic sequence is a sequence in which there is a common value added or subtracted between each term in the sequence.
The first option, -2, 4, -6, 8,... is not arithmetic because the terms switch back and forth between positive and negative signs meaning that there is no common value that can be added between each term.
The second option, -8, -6, -4, -2,... is arithmetic because there is a common difference between each term which is +2.
The third option, 2, 4, 8, 16,... is not arithmetic but is, in fact, geometric. There is no common value that is added or subtracted between each term.

8 0

3 years ago

During the mayoral election,two debates were held between the canidates. The first debate lasted 1 4/5 hours. The second one las

Andrews [41]

Answer:

$3\frac {6}{25} hrs \ or \ 3 hrs\ 14 mins \ 24 sec$

Step-by-step explanation:

The question calls requires one to get the product of the given time. Since first debate lasted for :

$1\frac {4}{5} \ hrs$

-and the second lasted

$1\frac {4}{5} hrs$ times more than the first then the second took then the first step will involve converting the mixed fractions into improper fraction which will be: