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3 years ago

Part A: If (2^6)^x = 1, what is the value of x? Explain your answer. (5 points)

Mathematics

1 answer:

vladimir1956 [14]3 years ago

5 0

Answer:

0,1,-1

Step-by-step explanation:

$(2^6)^x=1\\(2)^{6x}=1=2^0\\6x=0\\x=\frac{0}{6}=0$

$(5^0)^x=1\\5^0=1\\1^x=1\\x=0,1,-1\\1^0=1\\1^1=1\\1^{-1}=\frac{1}{1^1}=\frac{1}{1}=1$

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When building the Channel, the English and French each started drilling on opposite sides of the English Channel. The two sectio

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Suppose the English could drill the Channel in 6.2 years, then they drill with speed $\dfrac{L}{6.2}$ km per year, where L is the length of the English Channel. If the French could drill in 5.8 years, then their speed of drillling is $\dfrac{L}{5.8}$ km per year.

Together their speed will be

$\dfrac{L}{6.2} +\dfrac{L}{5.8} =\dfrac{5.8L+6.2L}{6.2\cdot 5.8}=\dfrac{12L}{35.96}=\dfrac{3L}{8.99}$ .

If they drill together, they will spend

$\dfrac{L}{\frac{3L}{8.99}} =\dfrac{8.99}{3}=2.9966666....\approx 3$ years.

Answer: it would have taken nearly 3 years.

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2 years ago

Is(5, 6)a solution to the inequality<br> y < 2x + 4 ?

Diano4ka-milaya [45]

Answer:

yes

Step-by-step explanation:

y < 2x +4

6 < 2·5 +4

6 < 14

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2 years ago

1. A sample consists of 75 TV sets purchased several years ago. The replacement times of those TV sets have a mean of 8.2 years.

Greeley [361]

Answer:

8.2+/-0.25

= ( 7.95, 8.45) years

the 95% confidence interval (a,b) = (7.95, 8.45) years

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 8.2 years

Standard deviation r = 1.1 years

Number of samples n = 75

Confidence interval = 95%

z value(at 95% confidence) = 1.96

Substituting the values we have;

8.2+/-1.96(1.1/√75)

8.2+/-1.96(0.127017059221)

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8.2+/-0.25

= ( 7.95, 8.45)

Therefore the 95% confidence interval (a,b) = (7.95, 8.45) years

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2 years ago

What is a num between 234,457.7 and 234,457.8.

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2 years ago

Two welders worked a total of 46 h on a project. One welder made $34/h, while the other made $39/h. If the gross earnings of the

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Answer:

25 and 21 hours respectively

Step-by-step explanation:

Let the number of hours worked by each welder be x and y respectively.

They worked a total of 46 hours. This means :

x + y = 46 hours.......(I)

Now, given their hourly charges, since we have the total amount of money realized, we can make an equation out of it. This means:

34x + 39y = 1669........(ii)

We then solve both simultaneously. From I, x = 46 -y

We can substitute this into ii

34(46 -y) + 39y = 1669

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5y = 105

y = 105/5 = 21

x = 46 - y

x = 46 - 21 = 25 hours

The numbers of hours worked by the welders are 25 and 21 respectively

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2 years ago