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3 years ago

How many solutions are there to the equation 12x 6=5x

Mathematics

1 answer:

just olya [345]3 years ago

8 0

I'm pretty sure the answer would be 1, since it does look linear

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5) Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With dimension as in Figure 5:

Damm [24]

The formula for the speed of the wagon can be found by using Pythagoras theorem, and chain rule of differentiation.

$(a) \ \mathrm{The \ speed \ of \ the \ wagon} , \ \dfrac{dx}{dt} = q -\dfrac{x}{\sqrt{x^2+ 5.76}}$

(b) When x = 0.6 and q = 0.5 m/s, the speed of the wagon is approximately 0.243 m/s.

Reasons:

(a) The distance from the cart to the pulley, r is given by Pythagoras's

theorem as follows;

r = √((3 - 0.6)² + x²) = √(2.4² + x²)

The speed of the wagon = $\mathbf{\dfrac{dx}{dt}}$

The speed of the rope, q = $\mathbf{\dfrac{dr}{dt}}$

By chain rule, we have;

$\dfrac{dr}{dt} = \mathbf{\dfrac{dr}{dx} + \dfrac{dx}{dt}}$

$\dfrac{dr}{dx} = \dfrac{x}{\sqrt{x^2+ 5.76}}$

Therefore;

$\dfrac{dr}{dt} = q =\dfrac{x}{\sqrt{x^2+ 5.76}}+ \dfrac{dx}{dt}$

$\mathrm{The \ speed \ of \ the \ wagon} , \ \dfrac{dx}{dt} = \underline{ q -\dfrac{x}{\sqrt{x^2+ 5.76}}}$

(b) The speed of the wagon when x = 0.6 if q = 0.5 m/s is given as follows;

$\dfrac{dx}{dt} = 0.5 -\dfrac{0.6}{\sqrt{0.6^2+ 5.76}} =\sqrt{\dfrac{1}{17} } \approx 0.243$

The speed of the wagon when x = 0.6 and q = 0.5 m/s, $\dfrac{dx}{dt}$ ≈ 0.243 m/s

Learn more here:

brainly.com/question/17081984

4 0

3 years ago

Add - (remember only like terms can be combined when add/subtract) (3x + 5) + (2x - 8)

Afina-wow [57]

Answer:

5x-3

Step-by-step explanation:

(3x + 5) + (2x - 8)

3x+5+2x-8

Bringing the like terms together,

3x+2x+5-8

5x-3

7 0

3 years ago

Help me on this please

pickupchik [31]

The first number is 3 and the second number is 5.

${3}^{2} + 5 = 14 \\ 5 ^{2} + 3 = 28$

5 0

3 years ago

Find the mean of 9 13 9 10 10 9 10 10 11 9

Novay_Z [31]

Mean = it's really just another word for average. You add all the values up together, and divide the sum by the number of values there are. So here :

9 + 13 + 9 + 10 + 10 + 9 + 10 + 10 + 11 + 9 = 100

And now, you count how many values there are ^ up there. There are 10 values (just count how many numbers there are) and then you have to divide 100 by 10.

100 ÷ 10 = 10

Your MEAN is : 10

6 0

4 years ago

Read 2 more answers

4 points

madreJ [45]

Step-by-step explanation:

Compounded monthly means n=12

5 0

3 years ago