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Nata [24]
3 years ago
7

Find the surface area of the rectangular prism. 2 km 5 km 7 km km Submit Answer

Mathematics
1 answer:
mixer [17]3 years ago
5 0

Answer:

Step-by-step explanation:

2km

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A force of 192 lb is required to hold a spring stretched 3 ft beyond its natural length. How much work W is done in stretching i
taurus [48]

Answer:

The work done in stretching the spring is 8 lb.ft

Step-by-step explanation:

Given;

Applied force, F = 192 lb

extension of the spring, x = 3 ft

Determine the spring constant from the applied force and extension;

k = \frac{F}{x} \\\\k = \frac{192 \ lb}{3 \ ft} \\\\k = 64 \ lb/ft

When the spring is stretched 6 inches beyond its natural length, the work done is calculated as follows;

x = 6 inches = 0.5 ft

W = \frac{1}{2} kx^2\\\\W =  \frac{1}{2} (64 \ lb/ft)(0.5 \ ft)^2\\\\W = 8 \ lb.ft

Therefore, the work done in stretching the spring is 8 lb.ft

8 0
2 years ago
3 hours worked for $12,9 hours worked for $36​
castortr0y [4]

Answer: $4 per hour

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is this solution of the equation 4w = 2/3
amid [387]
First, you need to isolate w. So you get w = 2/3 divided by 4.
I made the 2/3 a decimal, as it is easier to work with: 0.6666 divided by 4 is 0.167. 
0.167 is 1/6.
w = 1/6, or 0.167.
6 0
3 years ago
Read 2 more answers
Solve each equation. 6n+11=-13 and -4(x-5)=8
Luba_88 [7]

Answer:

n=-4     x=-7

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they
Lerok [7]
Let's make,
mechanic #1's rate = x
mechanic #2's rate = y

* Their rate is dollars per hour ($/hr)

mechanic #1 worked for 20 hours (hr × $/hr = $)
20x = money earned by mech#1

and mechanic #2 worked for 5 hours
5y = money earned by mech#2

together they charged a total of $1150. So the amount of money earned by both mechanics.

20x + 5y = 1150

the sum of the two rates was $95 per hour.

x + y = 95

which means
x = 95 - y

plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.

20(95 - y) + 5y = 1150

solve for y

1900 - 20y + 5y = 1150
1900 - 15y = 1150
-15y = 1150 - 1900
-15y = -750
y = -750/-15
y = 50 $/hr

Now use this to solve for x

x + y = 95
x + 50 = 95
x = 95 - 50
x = 45 $/hr

mech#1 charged 45$/hr
mech #2 charged 50$/hr
7 0
3 years ago
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