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2 years ago

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.

Mathematics

1 answer:

andreev551 [17]2 years ago

5 0

Answer:

Step-by-step explanation:

This is an arithmetic sequence and the common difference = - 2

You might be a little puzzled by the minus sign in front of the two. You can look at the sequence for the answer. It is going down. A plus 2 would make it go up. Minus signs are always a bit tricky and you have to watch out what you do with them. But the rule is simple

a minus common difference produces a sequence that goes down.
a plus common difference produces a squence that goes up.

You know that this is an arithmetic sequence because the common difference can be found by adding or subtracting a number from the previous term to get to the next term.

A geometrice sequence would use multiplication or division to get from one term to the next.

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You have 3/4 a cup of flour in your cupboard. A recipe for bread calls for 1/5 cup of flour. How much flour would you have left

Mamont248 [21]

Answer:

11/20 cups left

Step-by-step explanation:

first, we need to convert 3/4 and 1/5 into fractions with common denominators

so we would have:

15/20 and 4/20

now we need to subtract the fractions to get the difference

so we would do:

15/20 - 4/20 = 11/20

and that's the answer

hope that helped

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2 years ago

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A paraboloid container is being filled with fluid at the rate of 4.5 cubic feet per minute. At what rate is the level of fluid c

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Answer:

2.62 ft./min

Step-by-step explanation:

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3 years ago

Prove that: 16sin20.sin40.sin60.sin80=3

olga nikolaevna [1]

to prove that 6720. Sin 40. Sin 60. 80 equals 3 you'd have to divide 16 by 20 multiply subtract both sides by 3 which is 24x + 6x + 8x + -14 equals 40 40 + 20 equals 16 - -40 equals 80 which equals to 3

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3 years ago

Find the value of the variable.

nalin [4]

Answer:

The variable, y is 11°

Step-by-step explanation:

The given parameters are;

in triangle ΔABC; ${}$ in triangle ΔFGH;

Segment $\overline {AB}$ = 14 ${}$ Segment $\overline {FG}$ = 14

Segment $\overline {BC}$ = 27 ${}$ Segment $\overline {GH}$ = 19

Segment $\overline {AC}$ = 19 ${}$ Segment $\overline {FH}$ = 2·y + 5

∡A = 32° ${}$ ∡G = 32°

∡A = ∠BAC which is the angle formed by segments $\overline {AB}$ = 14 and $\overline {AC}$ = 19

Therefore, segment $\overline {BC}$ = 27, is the segment opposite to ∡A = 32°

Similarly, ∡G = ∠FGH which is the angle formed by segments $\overline {FG}$ = 14 and $\overline {GH}$ = 19

Therefore, segment $\overline {FH}$ = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;

$\overline {FH}$ ≅ $\overline {BC}$ by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∴ $\overline {FH}$ = $\overline {BC}$ = 27° y definition of congruency

$\overline {FH}$ = 2·y + 5 = 27° by transitive property

∴ 2·y + 5 = 27°

2·y = 27° - 5° = 22°

y = 22°/2 = 11°

The variable, y = 11°

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2 years ago

You park in a parking garage 3 floors below ground level. Then you get in an elevator and go up 9 floors. How many floors are yo

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Answer: (B) 6 floors

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3 years ago

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