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Darina [25.2K]
2 years ago
5

What is the nth term rule of the linear sequence below?

Mathematics
1 answer:
timurjin [86]2 years ago
8 0

Answer:

T _{n} = a + (n - 1)d \\ T _{n}  = 13 + (n - 1) \times  - 6 \\ T _{n} = 13 - 6(n - 1) \\ T _{n} = 13 + 6(1 - n)

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What are the solutions to. x^2 - x - 20 = 0
nignag [31]

Step-by-step explanation:

<em>x² - x - 20 = 0</em>

<em>x²</em><em> </em><em>-</em><em> </em><em>(</em><em>5</em><em>-</em><em>4</em><em>)</em><em> </em><em>x </em><em>-</em><em> </em><em>2</em><em>0</em><em> </em><em>=</em><em> </em><em>0</em><em> </em>

<em>x²</em><em> </em><em>-</em><em> </em><em>5x </em><em>+</em><em> </em><em>4x </em><em>-</em><em>2</em><em>0</em><em> </em><em>=</em><em> </em><em>0</em>

<em>x </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>5</em><em>)</em><em> </em><em>+</em><em> </em><em>4</em><em> </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>5</em><em>)</em><em> </em><em>=</em><em> </em><em>0</em>

<em>(</em><em>x </em><em>-</em><em> </em><em>5</em><em>)</em><em> </em><em>(</em><em>x+</em><em> </em><em>4)</em><em> </em><em>=</em><em> </em><em>0</em>

<em>Either</em><em>. </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em>

<em>x </em><em>-</em><em> </em><em>5</em><em> </em><em>=</em><em> </em><em>0</em>

<em>x </em><em>=</em><em> </em><em>5</em>

<em>Or, </em>

<em>x </em><em>+</em><em> </em><em>4</em><em> </em><em>=</em><em> </em><em>0</em><em> </em>

<em>x </em><em>=</em><em> </em><em>-</em><em>4</em>

3 0
3 years ago
Write an expression that shows how to usethe halving and doubling strategy to find 8 x 50
faust18 [17]
Double of 50 is 100, so 28*100=2800, now half of the answer is 2800/2=1400
3 0
3 years ago
Problem 11-93 Waltner Corporation s management... Waltner Corporation's management reports that its average delivery cycle time
Marat540 [252]

Complete question is;

Waltner Corporation's management reports that its average delivery cycle time is 25 days, its average throughput time is 7.7 days, its manufacturing cycle efficiency (MCE) is 0.43, its average move time is 0.3 day, and its average queue time is 3.00 days. Required: a. What is the wait time?

b. What is the process time?

c. What is the inspection time?

Answer:

A) Wait time = 17.3 days

B) Process time = 3.311 days

C) Inspection time = 0.789 days

Step-by-step explanation:

A) we are given;

Delivery cycle time = 25 days

throughput time = 7.7 days

The formula for wait time is calculated from;

Delivery time = wait time + throughput time

So, wait time = Delivery time - throughput time

Wait time = 25 - 7.7 = 17.3 days

B) The process time is calculated from;

MCE = Process time/throughput time

So, process time = MCE x throughput time

We are given MCE = 0.43,thus, and we already know throughput time. Thus;

Process time = 0.43 x 7.7 = 3.311 days

C) The inspection time is gotten from;

throughput time = Process time + Inspection time + Move time + Queue time

Making inspection time the subject;

inspection time = throughput time - Process time - Move time - Queue time

Move time = 0.3 days

Queue time = 3 days.

Thus;

inspection time = 7.7 - 3.311 - 0.3 - 3.3 = 0.789 days

3 0
3 years ago
If the area of a circle is 81π, then what is the diameter of the circle?​
viva [34]

Answer:

18

Step-by-step explanation:

81π=πr^2

r= 9,-9

9+9=18

7 0
2 years ago
Give the property that justifies each step.
hjlf

Answer:

Please check the explanation below.

Step-by-step explanation:

Some of the properties are defined as:

  • <em>Distributive property</em>

a(b+c) = ab+ac

For example,

suppose a=1, b=2, c=3

1(2+3) = 1(2) + 1(3)

5 = 2+3 = 5

  • <em>Subtraction property of Equality</em>

if (a=b), then a-c = b-c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a-c = b-c ⇒ 1-3 = 1 - 3  ⇒ -2 = -2

  • <em>Addition property of Equality</em>

if (a=b), then a+c = b+c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a+c = b+c ⇒ 1+3 = 1+3  ⇒ 4 = 4

  • <em>Multiplicative property of Equality</em>

if (a=b), then a×c = b×c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a×c = b×c ⇒ 1×3 = 1 × 3  ⇒ 3 = 3

  • <em>Division property of Equality</em>

if (a=b), then a÷c = b÷c

For example,

suppose a=1, b=1, c=3

if a = b ⇒ 1 = 1

then a÷c = b÷c ⇒ 1÷3 = 1 ÷ 3  ⇒ 1/3 = 1/3

Let's solve the given equation using the above properties.

5(x+10) = 20        Given

5x+50 = 20          1) Distriburive property ∵ a(b+c) = ab+ac

5x = -30               2) Subtraction property of Equality ∵ if (a=b), then a-c = b-c

x = -6                    3) Division property of Equality  ∵ if (a=b), then a÷c = b÷c

         

5 0
3 years ago
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