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elena-s [515]
3 years ago
15

Find the value of y for the given value of x. Round to the nearest hundredth. y = 15 + 3 ln x; x = 7.2

Mathematics
1 answer:
Nikolay [14]3 years ago
7 0

Answer:

y = 20.922

Step-by-step explanation:

Simply plug in <em>x</em> and evaluate:

y = 15 + 3ln(7.2)

Only way to calculate ln is to plug into a calc:

We should get 20.9222 as our answer.

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A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
Bess [88]

Answer:

4c+6a\leq120\\\\4c+4a\leq100

Step-by-step explanation:

Let c represents child bikes and a represents adult bikes.

Given :  Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test.

With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week.

Then, the required system of inequality :-

4c+6a\leq120----(1)\\\\4c+4a\leq100-----(2)

If company make 10 child bikes and 12 adult bikes in the week.

Then Put c=10 and a=12 bikes in (1) and (2).

4(10)+6(12)=40+72=112\leq120⇒Bike order meets the restrictions

4(10)+4(12)=40+48=88\leq100⇒Bike order meets the restrictions

Hence, the system of inequality best explains whether the company can build 10 child bikes and 12 adult bikes in the week.

4c+6a\leq120\\\\4c+4a\leq100

3 0
3 years ago
6. what is the parimeter of triangle ABC<br>8. What is the value of x​
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<u>Answer:</u>

Perimeter = 20 units

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<u>Step-by-step explanation:</u>

We are given a triangle ABC with known side lengths for all three sides and an inscribed circle.

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Perimeter of triangle ABC = 2 + 2 + 5 + 5 + 3 + 3 = 20 units

The kite shape at the end is a quadrilateral which has a sum of angles of 360 degrees.

Two out of four angles are right angles and one is 60 so we can find the value of x.

x = 360 - (90 + 90 + 60) = 120°

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3 years ago
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