(5x third power) (4x third power)

If y varies directly with x when y=1/3 and x = 12, find x if y is 4.

Nikitich [7]

Answer:

x = 144

Step-by-step explanation:

y α x

we introduce a constant 'k' when changing from α to =.

i.e y = kx

y = ⅓ when x = 12

Meaning, ⅓ = k * 12

⅓ = 12k

k = ⅓ ÷ 12

k = 1/36

If y = 4, x = ?

using the equation y = kx

4 = (1/36)x

x = 4 ÷ (1/36)

x = 4 * 36

x = 144

6 0

4 years ago

A. Work of 5 Joules is done in stretching a spring from its natural length to 16 cm beyond its natural length. What is the force

kirza4 [7]

Answer:

(a) 62.5 N

(b) 694.4 N/m

(c) 41.7 N

Step-by-step explanation:

Work done in stretching a spring is

$W = \frac{1}{2}Fe=\frac{1}{2}ke^2$ since $F=ke$

F is the applied force, E is the elongation and k is the spring constant.

(a) Here, e = 16 cm = 0.16 m

$W = \frac{1}{2}Fe$

$F = \dfrac{2W}{e} = \dfrac{2\times5}{0.16}=62.5\text{ N}$

(b) Here, e = 12 cm = 0.12 m

$W =\frac{1}{2}ke^2$

$k=\dfrac{2W}{e^2}=\dfrac{2\times5}{0.12^2}=694.4\text{ N/m}$

(c) The restoring force is the same as the applied force.

$F = \dfrac{2W}{e} = \dfrac{2\times5}{0.12}=41.7\text{ N}$

4 0

4 years ago

Matthew is 7 years older then twice the age of his sister, if matthew is 13, how old is his sister

Irina18 [472]

This is subtraction an the answer would be 6

5 0

4 years ago

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Greg’s family went to the movie theater and bought tickets and popcorn. They spent $35 altogether with $9.50 spent on popcorn. W

user100 [1]

Well I got

x = 35 - 9.50

4 0

3 years ago

There are 67 rabbits in the garden. Round 67 to the nearest 10.

GarryVolchara [31]

Answer:

70

Step-by-step explanation:

1-4 rounds down

5-9 rounds up

4 0

3 years ago

Read 2 more answers