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mezya [45]
3 years ago
7

2logx-log3=1. Help solve?

Mathematics
1 answer:
Debora [2.8K]3 years ago
3 0
Logx^2 - log3 = logx^2/3

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Evaluate lim x=π/4(3x - tanx)​
Karo-lina-s [1.5K]

Answer:

 \lim_{x \to\frac{\pi }{4} } (3x-tanx) =  3(\frac{\pi }{4}  )

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that

         \lim_{x \to\frac{\pi }{4} } (3x-tanx)

  =  \lim_{x \to\frac{\pi }{4} } (3x) -  \lim_{x \to\frac{\pi }{4} }  tanx)

 = 3(\frac{\pi }{4} )+tan(\frac{\pi }{4} )

=  3(\frac{\pi }{4} )+ 1 )

=  3(\frac{\pi }{4}  )

5 0
2 years ago
Eileen is taking a trip to Louisiana and expects to drive 850 miles round trip. If her car gets 23 miles per gallon, and the cos
bazaltina [42]
The answer is <span>$103.

To determine </span><span> how much Eileen will spend on gasoline, first we need to calculate how many gallons she needs.
If she drives 850 miles and </span><span>her car gets 23 miles per gallon, we can use the proportion:
850 miles : x gallons = 23 miles : 1 gallon
Crossing the products:
x = 850 miles </span>× 1 gallon ÷ 23 miles
x = 36.96 gallons

Thus, Eileen needs 36.96 gallons of gas. If the cost per gallon of gas is$2.79, using the proportion:
36.96 gallons : x = 1 gallon : <span>$2.79
x = 36.96 gallons </span>× $2.79 <span>÷ 1 gallon
x = </span>$103.12 
x ≈ $<span>103</span>
4 0
3 years ago
A Gallup Poll in July 2015 found that 26% of the 675 coffee drinkers in the sample said they were addicted to coffee. Gallup ann
emmasim [6.3K]

Answer:

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A confidence interval has two bounds, the lower and the upper

Lower bound:

\pi - M

Upper bound:

\pi + M

In this problem, we have that:

\pi = 0.26, M = 0.05

Lower bound:

\pi - M = 0.26 - 0.05 = 0.21

Upper bound:

\pi + M = 0.26 + 0.05 = 0.31

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

4 0
3 years ago
What is 10 2/3 times 3?
svetlana [45]
That'd be 32 with no remainder.
5 0
3 years ago
Find the difference between 430 and 144
nata0808 [166]
286. you just subtract the two numbers 
5 0
2 years ago
Read 2 more answers
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