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denis-greek [22]
2 years ago
11

What is the fifth term of the sequence defined by the recursive rule f(1) = 5, f(n)=f(n-1) + 3

Mathematics
1 answer:
Oxana [17]2 years ago
7 0

Answer:

f(5) = 17

Step-by-step explanation:

Using the recursive rule and f(1) = 5 , then

f(2) = f(1) + 3 = 5 + 3 = 8

f(3) = f(2) + 3 = 8 + 3 = 11

f(4) = f(3) + 3 = 11 + 3 = 14

f(5) = f(4) + 3 = 14 + 3 = 17

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sp2606 [1]

9514 1404 393

Answer:

  a) ∠DAE = 33°; ∠ABD = 57°

  b) ∠CEB = 90°

  c) ∠ABE = 22°

  d) ∠ADE = 15°

Step-by-step explanation:

The diagonals of a rhombus meet at right angles. Each bisects the corner angles at its ends. Adjacent angles are supplementary, opposite angles are congruent, and each diagonal creates two isosceles triangles.

a) ∠DAE = 90° - ∠ADE = 90° -57°

  ∠DAE = 33°

  ∠ADE = ∠ABD = 57°

__

b) ∠CEB = 90° . . . . . the diagonals meet at right angles

__

c) ∠ABE = 44°/2

  ∠ABE = 22°

__

d) ∠ADE = 90° -(1/2)∠DAB = 90° -150°/2

  ∠ADE = 15°

8 0
2 years ago
The charge to rent a trailer is ​$2525 for up to 2 hours plus ​$99 per additional hour or portion of an hour. Find the cost to r
Ksju [112]

The question is not written properly! Complete question along with answer and step by step explanation is provided below.

Question:

The charge to rent a trailer is ​$25 for up to 2 hours plus ​$9 per additional hour or portion of an hour.

Find the cost to rent a trailer for 2.8 ​hours, 3 ​hours, and 8.7 hours.

Then graph all ordered​ pairs, (hours,​ cost), for the function.

Answer:

ordered pair = (2.8, 34)

ordered pair = (3, 34)

ordered pair = (8.7, 88)

Step-by-step explanation:

Charge for 2.8 ​hours:

$25 for 2 hours

$9 for 0.8 hour

Total = $25 + $9

Total = $34

ordered pair = (2.8, 34)

Charge for 3 ​hours:

$25 for 2 hours

$9 for 1 hour

Total = $25 + $9

Total = $34

ordered pair = (3, 34)

Charge for 8.7 ​hours:

$25 for 2 hours

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 0.7 hour

Total = $25 + $9 + $9 + $9 + $9 + $9 + $9 + $9

Total = $88

ordered pair = (8.7, 88)

The obtained ordered pairs are graphed, please refer to the attached graph.

4 0
3 years ago
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exis [7]
Answer is 729

9x9x9 = 729
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Answer:

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G,C,P

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