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Xelga [282]
3 years ago
8

In kick boxing, the force needed to break a board varies inversely with the length of the board.If it takes 5 pounds of pressure

to break a board 2 feet long, how many pounds of pressure will it take to break a board that is 8feet long?
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
6 0

Answer:

Step-by-step explanation:

By taking k as constant:

P = k/L (where P is pressure, and L is length)

5 = k/2

k = 10

Therefore:

P = 10 / L

P = 10/ 8

P = 1.25 Pounds.

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How does the graph of g(x) = (x − 1)3 + 5 compare to the parent function f(x) = x3?
soldi70 [24.7K]

Answer:

g(x) = (x − 1)3 + 5   graph1

x y

02

1 5

f(x) = x3   graph 2

x y

−2 −8

− 1−1

0 0

1 1

28

6 0
4 years ago
A toy car goes 120 meters in 1 minute. At this
salantis [7]

Answer:

180 seconds

Step-by-step explanation:

1 minute = 60 seconds

120 * 3 = 360

60 * 3 = 180

6 0
3 years ago
In a manufactory, there are two types of spoilages. It is found that 5% of spoilages are due to transformer spoilage, 8% are due
jok3333 [9.3K]

Answer:

   

Step-by-step explanation:

Let us denote probability of   spoilage as follows

Transformer spoilage = P( T ) ; line spoilage P ( L )

Both P ( T ∩ L ) .

Given

P( T )  = .05

P ( L ) = .08

P ( T ∩ L ) = .03

a )

For independent events

P ( T ∩ L ) =  P( T ) x  P ( L )

But  .03  ≠  .05 x .08

So they are not independent of each other .

b )

i )

Probability of line spoilage given that there is transformer spoilage

P L/ T ) = P ( T ∩ L ) / P( T )

= .03 / .05

= 3 / 5 .

ii )

Probability of transformer spoilage but not line spoilage.

P( T ) - P ( T ∩ L )

.05 - .03

= .02

iii )Probability of transformer spoilage given that there is no line spoilage

[ P( T ) - P ( T ∩ L ) ] / 1 - P ( L )

=  .02 / 1 - .08

= .02  / .92

= 1 / 49.

i v )

Neither transformer spoilage nor there is no line spoilage

= 1 - P ( T ∪ L )

1 - [  P( T ) +  P ( L ) - P ( T ∩ L ]

= 1 - ( .05 + .08 - .03 )

=  0 .9

8 0
3 years ago
write an equation in point-slope form for the line through the given point with the given slope. (8, -3); m= -1/4
Vlad [161]

Your answer would be y = (-1/4)x - 1

Seeing as they give us the slope, all we have to is find the y intercept of the line. We can do this by substituting in the coordinates (8, -3), and using the 8 as x and the -3 as y.

This gives us:

-3 = (-1/4 × 8) + c

-3 = -8/4 + c

-3 = -2 + c

c = -1

So therefore the final answer is y = (-1/4)x - 1

I hope this helps!

5 0
3 years ago
A right square pyramid is pictured below. if l is 15 cm and x is 18 cm, what is the surface area of the pyramid?
Nady [450]

Answer:

The surface area of square pyramid is 953.64  cm² .

Step-by-step explanation:

Given as for a square pyramid :

The height of pyramid = l  = 15 cm

The base of square pyramid = x = 18 cm

Now,

The surface area of square Pyramid = b^{2} + 2b\times \sqrt{\frac{b^{2}}{4}+h^{2}}

or , The surface area of square Pyramid = x^{2} + 2x\times \sqrt{\frac{x^{2}}{4}+l^{2}}

Or, The surface area of square Pyramid = 18^{2} + 36\times \sqrt{\frac{18^{2}}{4}+15^{2}}

Or,  The surface area of square Pyramid = 324 + 36 × \sqrt{81 + 225}

or,  The surface area of square Pyramid = 324 + 36 × 17.49

Or , The surface area of square Pyramid = 324 + 629.64 = 953.64 cm²

Hence The surface area of square pyramid is 953.64  cm² .  Answer

8 0
4 years ago
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