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3 years ago

7

Convert 210 to radian measure in terms of \pi

1 answer:

Veronika [31]3 years ago

6 0

Answer:

<h2>3.66519 radian</h2>

Step-by-step explanation:

<h3>210° × π/180 = 3.665rad</h3>

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Solve 10e^2x - 5 =23^x for x.

yawa3891 [41]

$10e^{2x}-5=23e^x\qquad\text{subtract}\ 23e^x\ \text{from both sides}\\\\10e^{2x}-23e^x-5=0\\\\10(e^x)^2-23(e^x)-5=0\\\\\text{substitution:}\ e^x=t > 0\\\\10t^2-23t-5=0\\\\10t^2-25t+2t-5=0\\\\5t(2t-5)+1(2t-5)=0\\\\(2t-5)(5t+1)=0\iff2t-5=0\ \vee\ 5t+1=0\\\\2t=5\ \vee\ 5t=-1\\\\t=\dfrac{5}{2} > 0\ \vee\ t=-\dfrac{1}{5} < 0\\\\\text{therefore}\ e^x=\dfrac{5}{2}\to\ln e^x=\ln\left(\dfrac{5}{2}\right)\\\\\boxed{x=\ln\left(\dfrac{5}{2}\right)}$

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3 years ago

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John bikes at a speed of 10 miles per hour. His friend Brian is slower, his biking speed is only 8 miles per hour. d Tomorrow bo

skad [1K]

Answer:

6 miles

Step-by-step explanation:

Given

John's speed = 10 mph
Brian's speed = 8 mph
Time 3 hours

Solution

<u>The difference in distance covered:</u>

3*(10 - 8) = 6 miles

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4 years ago

If an item that originally cost $20 is increased to $27, what is the percentage of increase in the item?

Rzqust [24]

Answer:

35.00% increase

Explanation:

[(New value - Old value)/Old value] x 100 = answer
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2 years ago

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castortr0y [4]

Okay so I did this when I was in 7th grade, u add up all of the numbers then divide them by how many there are. I think the answer is 2

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3 years ago

The distance, d, is greater than 5 miles. Write an inequality to represent the statement. How many solutions does the inequality

trapecia [35]

< = more than
> = less than
So therefore,
D > 5 miles

Hope this helped !

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3 years ago

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