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8090 [49]
2 years ago
8

The minimum wage in 2003 was 5.15 this was w more than the minimum wage in 1996. write an expression for the minimum wage in 199

6
Mathematics
1 answer:
Kitty [74]2 years ago
3 0
Minimum wage in 2003 was $51.5

1996 = w

Wage in 1996= $5.15 - w 


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You place the spring vertically with one end on the floor. You then drop a book of mass 1.50 kg onto it from a height of 0.900 m
Alex777 [14]

Answer:

The value of the maximum distance the spring will be compressed  

x = 0.143 m= 14.3 cm

Step-by-step explanation:

Given data

Mass m = 1.5 kg

h = 0.9 m

k = 1500\frac{N}{m}

Since the book is released from a height h = 0.9 m above the top of the spring. so the total distance

y = h + x

Now in that case for the spring

mg y= \frac{1}{2} k x^{2}

mg(h +x) = \frac{1}{2} k x^{2}

By rearranging the above equation we get

k x^{2}  - 2mgx - 2mg h = 0

Put all the values in above equation we get

1500x^{2}  - 29.43 x - 26.48 = 0

By solving the above equation we get

x = 0.143 m= 14.3 cm

This is the value of the maximum distance the spring will be compressed.

8 0
2 years ago
Graph the inverse of the function.
Ghella [55]

Answer:

The graph of the inverse function is the same that the graph of the original function

Step-by-step explanation:

step 1

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Let

f(x) ---> the function in the graph

we know that

Is a linear function

take the points (0,6) and (6,0)

<em>Find the slope of the linear function</em>

m=(0-6)/(6-0)\\m=-1

<em>Find the the equation of the linear function in slope intercept form</em>

f(x)=mx+b

we have

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substitute

f(x)=-x+6

step 2

Find the inverse of the function f(x)

Let

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y=-x+6

<em>Exchange the variables (x for y and y for x)</em>

x=-y+6

Isolate the variable y

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Let

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f^{-1}(x)=f(x)

In this problem the graph of the inverse function is the same that the graph of the original function

4 0
3 years ago
Find the slope of the line containing the pair of points (4,8), (9,-4)
Papessa [141]

The given points are (4,8) & (9,-4)

slope of a line =  <u>Y2 - Y1</u>

                            X2 - X1


              ====>   <u>(-4) - 8</u>   =    <u>-12</u>

                            9   - 4           5

6 0
3 years ago
Read 2 more answers
6.1.PS-17
elena-14-01-66 [18.8K]
19/25 or 76/100 so it would be 76%
5 0
3 years ago
800 ft to dekameters
daser333 [38]
1 foot = 12 inches, and we get 9600 inches, which is 24.384 dekameters.
---
Hope this helps!
==jding713==
4 0
2 years ago
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