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AlexFokin [52]
3 years ago
11

How do you solve multiplying binomials with example: (x+4)^2

Mathematics
1 answer:
salantis [7]3 years ago
8 0
This can be written as (x+4)(x+4)

Multiply everything in the second parenthesis by the x.

x^2 + 4x

Multiply everything in the second parenthesis by 4.

4x + 16

Add these two equations together.

x^2 + 4x + 4x + 16

Combine like terms.

x^2 + 8x + 16

Hope this helps!
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Design specifications require that a key dimension on a product measure 105 ± 12 units. A process being considered for producing
marta [7]

Answer:

Cpk = Cpu = Cpl = 0.4785

Step-by-step explanation:

Solution:-

- The capability of a process is determined using the capability index ( Cpk ). The index helps in determining the output of the process lies within the specification limits.

- The key dimension on a product measure is:

                                 105 ± 12 units

- Process is producing this product at a 6-sigma quality standards i.e ( process is producing this product has a standard deviation (σ) of three units.)

Where,         Standard Error in measured value = 12 units.

- The process capability (Cpu) is defined based on the Upper Specification Limit of the process (USL):

                             Cpu = (USL - u) / 3σ

- The process capability (Cpl) is defined based on the Lower Specification Limit of the process (LSL):

                             Cpl = ( u - LSL) / 3σ

- Assume that the process is centered with respect to specifications, then the given absolute value of u = 105 units.

Where the specification limits are defined as:

                             LSL = u - SE = 105 - 12

                             LSL = 93 units

                             USL = u + SE = 105 + 12

                             USL = 117 units

- Now evaluate the Process capability on each of the two limits specification limits:

                           Cpu = (USL - u) / 3σ

                           Cpu = (117 - 105) / 3σ

                           Cpu = 4 / σ

                           Cpl = ( u - LSL) / 3σ

                           Cpl = ( 105 - 99 ) / 3σ

                          Cpl = 4 / σ    

- The minimum of Cpu and Cpl is denoted as the Cpk value:

                           Cpk = min ( Cpu , Cpl )

                           Cpk = Cpu = Cpl = 4 / 8.36

                           Cpk = Cpu = Cpl = 4 / 8.36 = 0.4785          

               

6 0
3 years ago
An angle measures 42 less than its complementary angle. What is measure of each angle?
yaroslaw [1]
First angle = x
Second angle = x - 42
Sum both complementary angles = 90

x+x-42=90
2x=132
x=66⁰    -  First angle
x-42=66-42=24 
24⁰ - Second angle
6 0
3 years ago
Match the reasons to the statements in the proof. Given: m 1 + m 5 = 180° m 1 + m 4 = 180° Prove: | |
Elden [556K]

Answer and Step-by-step explanation:

Since we have given that

1. m∠1 + m∠5 = 180° and m∠1 + m∠4=180° - Given

2. m∠1 + m∠5 = m∠1 + m∠4 - Substitution

3. m∠5 = m∠4 -

Subtraction property of equality

4. Ray YZ is parallel to Ray UV - If alternate interior angles equal, then line are ||

3 0
3 years ago
Will mark brainliest to whoever answers, thanks!!!!!!!!!
Keith_Richards [23]

Answer:

I can't even count so your alone on this jit

7 0
2 years ago
Evaluate the expression.<br><br> StartFraction 9 factorial Over 3 factorial EndFraction
Verizon [17]

Answer:

The answer you should get is 9:3

Step-by-step explanation:

5 0
3 years ago
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