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kramer
3 years ago
5

Write an explicit formula for the sequence

Mathematics
1 answer:
xxMikexx [17]3 years ago
6 0

Answer:

u_{n} = - 5.6n + 3.2

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

u_{n} = u₁ + (n - 1)d

where u₁ is the first term and d the common difference

To find u₁ use the given recursive formula

u₁ = u₀ - 5.6 = 3.2 - 5.6 = - 2.4

from the recursive formula d = - 5.6 , then explicit formula is

u_{n} = - 2.4 - 5.6(n - 1) = - 2.4 - 5.6n + 5.6 = - 5.6n + 3.2

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You place a billiard cue against a billiard table. The foot of the billiard cue is 15 cm away from the table and the top of the
Luba_88 [7]

Answer:

  • -4

Step-by-step explanation:

<u>The billiard cue is 15 cm away from the table</u>

  • This refers to coordinates of (15, 0)

<u>The billiard cue touches the table at a point 60 cm off the ground</u>

  • This refers to coordinates of (0, 60)

<u>The slope is as per slope formula;</u>

  • m = (60 - 0)/(0-15) = 60/ -15 = -4

Thea answer is -4

6 0
3 years ago
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I have almost like an out suffering with this one.please!help!
makkiz [27]
120 Fluid ounces in liters is 3.549 liters, so the answer is definitely A.
7 0
4 years ago
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Given f(x) = 3x + 1, solve for x when f(x) = 7.
irakobra [83]

Answer:

f(7) = 22 or x =2

Step-by-step explanation:

  1. f(x) = 3x + 1
  2. f(7) = 3(7) + 1
  3. f(7) = 21 + 1
  4. f(7) = 22

<u>Or if the equation meant it like this:</u>

  1. f(x) = 3x + 1
  2. 7 = 3x + 1
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4 0
3 years ago
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What is the missing reason in the proof?
IrinaVladis [17]

We can identify that the missing reason in the proof is: Definition of Congruent angles.

<h3>How to give proof of a congruent triangle?</h3>

We know that an angle measure of 90° of ∠ABC in the triangle means that it is a right angle triangle.

We also see that ∠ADB is also a right angle and is equal to 90°.

Now, since they have exactly the same measure, these angles are congruent. Then we can say that the angles are congruent and as such:

∠ABC ≅ ∠ABD

Thus, we can identify that the missing reason is: Definition of Congruent angles.

Read more about Triangle proof at; brainly.com/question/1248322

#SPJ1

3 0
2 years ago
What is the slope of the line graphed above?<br> A. -2<br> B. -1<br> c. -1/2<br> d. 1/2<br> E. 2
Ierofanga [76]

Answer:

-1/2

Step-by-step explanation:

pass (0,1) (2,0)

slope = rise/run = -1/2

5 0
3 years ago
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