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Nata [24]
3 years ago
7

Calculate the power needed to raise 32lb. A distance of 12 feet in 4 seconds

Mathematics
2 answers:
Alex3 years ago
8 0

Answer:

130.07 Watts

Step-by-step explanation:

hope this helps

kenny6666 [7]3 years ago
8 0

Answer:

130.1 W

Step-by-step explanation:

Power is work or energy divided by time, so power has the units of joules/second, which is called the watt.

<h3>Formula</h3>

Power = gravitational potential energy / time

Gravitational potential energy = m g h

<em>here m = mass </em>

<em>         g = gravity die to acceleration = 9.81 m/s²</em>

<em>         h = height</em>

<em />

<h3>Conversion Ib to kg</h3>

1 Ib = 0.453592 kg

32 Ib = 14.5 kg

<h3>Conversion feet to m</h3>

1 feet = 0.3048 m

12 feet = 3.6576 m

Plug value in the formula

(14.5) (9.81) (3.6576)

520.3 J

520.3 / 4

130.1 W

       

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The sum of two numbers is 62, and their difference is 12. What are the numbers?
Ede4ka [16]
X + y = 62 

x - y = 12

Move x over so y is alone in one of the above equations,

y = 62-x

Now substitte in y

x-(62-x) = 12

x - 62 + x = 12

2x = 12 + 62

2x/2 = 74/2

x = 37

Now for y sub in the x!

x + y = 62

(37) + y = 62

y = 62 - 37

y = 25.

So 25 + 37 =62

and 37 - 25 = 12


Method 2 :
Start by stacking the 2 original equations from above,

x+y=62
x-y=12
You want to "cancel" out one of the variable so,

x+y=62
+  +  =  +
x - y =12

So then you add,

2x = 74

2x / 2 = 74 / 2

x = 37.

Now you can once again sub it back into the original equation to solve for y,

x+y=62
(37)+y=62
y=62-37
y=25

Hope this helps!








5 0
3 years ago
Graph the equation by first finding the​ x- and​y-intercepts.
dalvyx [7]

Answer:

x-intercept: (2,0)

y-intercept: (0,3)

Step-by-step explanation:

We are asked to graph our given equation \frac{1}{2}x+\frac{1}{3}y=1.

To find x-intercept, we will substitute y=0 in our given equation.

\frac{1}{2}x+\frac{1}{3}(0)=1

\frac{1}{2}x+0=1

2*\frac{1}{2}x=2*1

x=2

Therefore, the x-intercept is (2,0).

To find y-intercept, we will substitute x=0 in our given equation.

\frac{1}{2}(0)+\frac{1}{3}y=1

0+\frac{1}{3}y=1

3*\frac{1}{3}y=3*1

y=3

Therefore, the y-intercept is (0,3).

Upon connecting these two points, we will get our required graph as shown below.

8 0
3 years ago
Plz hurry! Solve for v.<br><br>v7–6&lt;–5
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V should be equal to 1
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Plss I need this rnnn
ipn [44]

Answer:

x= 65

Step-by-step explanation:

3x-15=180

add 15 both sides

3x= 195

divide by 3

x=65

7 0
3 years ago
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A survey asked 60 students if they play an instrument and if they are in band.
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Step-by-step explanation:

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