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kiruha [24]
2 years ago
12

Use the identity a^3+b^3=(a+b)^3−3ab(a+b) to determine the sum of the cubes of two numbers if the sum of the two numbers is 4 an

d the product of the two numbers is 1.
Mathematics
1 answer:
olga55 [171]2 years ago
3 0

Your identity says ...

... sum of cubes = (sum)³ -3(product)(sum)

... = 4³ -3·1·4

... = 64 -12 = 52

_____

The two numbers are 2±√3, and the sum of their cubes is indeed 52.

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Answer:

80%

Step-by-step explanation:

12÷15= .8

.8=80%

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3 years ago
What is the slope of the line passing through the points (5,7) (-4,2)
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Y+9/16x+4.2 this might be your answer
5 0
3 years ago
Find the missing exponent. Explain 5^11/5^?=5^4
ruslelena [56]

Answer:

The missing exponent is 5^7

Step-by-step explanation:

5^11/5^?=5^4

1. Subtract the exponents from each other.

11-4=7

2. Plug 7 in as the exponent.

5^11/5^7

3. 11-7=4 therefore, 5^11/5^7 equals 5^4.

4 0
3 years ago
Read 2 more answers
2. One important factor in inventory control is the variance of the daily demand for a product. Management believes that demand
salantis [7]

Answer:

we reject H0 and conclude that management's belief about variance is untrue.

Step-by-step explanation:

H0 : σ² = 250

H1 : σ² ≠ 250

Sample size, n = 25

xbar = 50.6 ; s² = 500

α = 0.01 ;

The test statistic :

χ² = [(n - 1)s²] ÷ σ²

χ² = [(25 - 1)* 500] ÷ 250

χ² = (24 * 500) / 250

χ² = 12000 / 250

χ² = 48

The critical value:

df = n-1 ; 25 - 1 = 24

χ²(0.01/2 ; 24) = 45.559

Decison :

Reject H0 : if |χ² statistic| > critical value

Since 48 > 45.559

Hemce, we reject H0 and conclude that management's belief about variance is untrue.

4 0
3 years ago
A person who takes a 10-minute shower might use between 20 and 25 gallons of water,depending on the speed of the water passing t
nalin [4]

Answer:

The amount of water in gallons, <em>w, </em>is the dependent variable.

The time in minutes, <em>m,</em> is the independent variable.

Step-by-step explanation:

The amount of water in gallons depends on the time in minutes. If the time is higher, the amount of water in gallons will be higher. If the time is lower, the amount of water in gallons will be lower.

Hope that helps.

5 0
3 years ago
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