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lana [24]
3 years ago
12

Find the GCF of n 3 t 2 and nt 4.

Mathematics
2 answers:
borishaifa [10]3 years ago
7 0
The GCF is 1

Hope this helps
Tanzania [10]3 years ago
3 0
The answer is 1 the gcf is 1...............


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Please help!!!! Due soon!! <br> I’ll mark you the brainliest answer! Please
Lena [83]

Answer:

3/2 or 1.5

Step-by-step explanation:

8 0
3 years ago
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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 <em>x </em>= 0.6 and q = 0.5 m/s, the speed of the wagon is approximately <u>0.243 m/s</u>.

Reasons:

(a) The distance from the cart to the pulley, <em>r</em> 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 <em>x</em> = 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 <em>x </em>= 0.6 and q = 0.5 m/s, \dfrac{dx}{dt} ≈ <u>0.243 m/s</u>

Learn more here:

brainly.com/question/17081984

4 0
2 years ago
Identify the vertex, complete the table, and graph h(x) = (x + 1) + 4.
anygoal [31]

Answer:

The vertex is (-1, 4)

Not sure what the table looks like, but just plug the x values into the equation to get a complete point

Graph the points on a graph

Step-by-step explanation:

3 0
2 years ago
<img src="https://tex.z-dn.net/?f=%28x%20%2B%20k%29%20%7B%7D%5E%7B2%7D%20%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%201x%20%2B%20%20
ozzi
If we take the equation and multiply out the left side, we get....

x^{2} + 2xk + k^{2} = x^{2} + x +k^{2}

The x^2 and k^2 cancel out on both sides leaving us with this...

2kx = x

If we divide both sides by 2x to isolate k, k ends up = 1/2
4 0
3 years ago
Write a compound inequality that the graph could represent.
Dmitry_Shevchenko [17]
A solid dot on the graph of an inequality indicates that the number is contained within the inequality, so yo should use \leq or \geq to represent that situation, whereas a white dot indicates that the number is not contained within the inequality. 

Our graph is telling us that x is greater or equal than -1, and also x is less than 3. So our inequality will be:

-1 \leq x \leq 3
3 0
3 years ago
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