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NeTakaya
3 years ago
5

Jim’s sleeping bag is 5 feet long.Jorge’ sleeping bag is 2 yards.Stevens sleeping bag is 68 inches,Whose sleeping bag is longer

Mathematics
1 answer:
Mariulka [41]3 years ago
4 0

Well, we know 1 yard is 3 feet, so 2 yards is 6 feet. That makes Jorge's sleeping bag longer than Jim's. (6 feet is longer than 5 feet)

We also know that 1 yard is 36 inches, so 2 yards is 72 inches. That makes Jorge's sleeping bag longer than Steven's. (72 inches is longer than 68 inches)

Since Jorge's sleeping bag is longer than both Jim's and Steven's, Jorge's sleeping bag is longer.

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Which expression is equivalent to this polynomial expression?<br> (2x^5 + 3y^4)(-4x^2 + 9y^4)
SOVA2 [1]

Answer:

A. -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

Step-by-step explanation:

Given:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Required:

Find an equivalent polynomial

Solution:

(2x⁵ + 3y⁴)(-4x² + 9y⁴)

Using distributive property of multiplication

2x⁵(-4x² + 9y⁴) + 3y⁴(-4x² + 9y⁴)

-8x⁷ + 18x⁵y⁴ - 12x²y⁴ + 27y⁸

There are no like terms to add or combine, therefore:

(2x⁵ + 3y⁴)(-4x² + 9y⁴) = -8x⁷ + 18x⁵y⁵ - 12x²y⁴ + 27y⁸

6 0
3 years ago
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(9,-1); m=4/3 write an equation in point slope form for the line through the given point with the given slope
madreJ [45]
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Now, m=slope and the x and y values are given to us already, so now we just plug our variables into the formula.

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8 0
3 years ago
the specification for a plastic handle calls for a length of 6.0 inches +- .2 inches. The standard deviation of the process is e
erastova [34]

Answer:

a)

USL = 6.2 inches

LSL = 5.8 inches

b) Cp = 1.33

Cpk = 0.67

c)

Yes it meets all specifications

Step-by-step explanation:

The specification for a plastic handle calls for a length of 6.0 inches ± .2 inches. The standard deviation of the process is estimated to be 0.05 inches. What are the upper and lower specification limits for this product? The process is known to operate at a mean thickness of 6.1 inches. What is the Cp and Cpk for this process?   Is this process capable of producing the desired part?

Given that:

Mean (μ) = 6.1 inches, Standard deviation (σ) = 0.05 inches and the length of the plastic handle is 6.0 inches ± .2

a) Since the length of the plastic handle is 6.0 inches ± .2  = (6 - 0.2, 6 + 0.2)

The Upper specification limits (USL) = 6 inches + 0.2 inches = 6.2 inches

The lower specification limits (LSL) = 6 inches - 0.2 inches = 5.8 inches

b) The Cp is given by the formula:

Cp=\frac{(USL-LSL)}{6\sigma} =\frac{(6.2-5.8)}{6*0.05} =1.33

The Cpk is given by the formula:

c)

The upper specification limit lies about 3 standard deviations from the centerline, and the lower specification limit is further away, so practically all units will meet specifications

Cpk=min(\frac{USL-\mu}{3\sigma},\frac{\mu -LSL}{3\sigma})=min(\frac{6.2-6.1}{3*0.05},\frac{6.1-5.8}{3*0.05})=min(0.67,2)=0.67

7 0
3 years ago
Which planet is the third farthest away from the sun? Uranus Jupiter Saturn Neptune
svet-max [94.6K]

Answer:

saturn

Step-by-step explanation:

it goes Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune

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Answer:

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Step-by-step explanation:

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