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3 years ago

A mass attached to a spring is pulled towards the floor then let go. Its height is recorded and

Mathematics

1 answer:

andreev551 [17]3 years ago

3 0

First find the derivative,

$\dfrac{d}{dt}\Big(-10\cos(4t)\Big)=40\sin(4t)$ .

Then find the critical point,

$40\sin(4t)=0\implies t=40\mathrm{s}$ .

Hope this helps.

I am a little rusty here :(.

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Need help please can you give answer with working out i can not answer as it is quite gard

Elis [28]

Step-by-step explanation:

$\text{Given:}\\\\AB=3x-4\\AC=2x+12\\BC=7x-2\\AB:AC=1:2\Rightarrow(3x-4):(2x+12)=1:2\\\\\dfrac{3x-4}{2x+12}=\dfrac{1}{2}\qquad\text{cross multiply}\\\\(3x-4)(2)=(2x+12)(1)\qquad\text{use the distributive property}\\\\(3x)(2)+(-4)(2)=2x+12\\\\6x-8=2x+12\qquad\text{add 8 to both sides}\\\\6x-8+8=2x+12+8\\\\6x=2x+20\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\6x-2x=2x-2x+20\\\\4x=20\qquad\text{divide both sides by 4}\\\\\dfrac{4x}{4}=\dfrac{20}{4}\\\\x=5$

$\text{Put the value of}\ x\ \text{to}\ AC\ \text{and}\ BC:\\\\AC=2(5)+12=10+12=22\\\\BC=7(5)-2=35-2=33\\\\AC:BC=22:33=\dfrac{22}{33}=\dfrac{22:11}{33:11}=\dfrac{2}{3}=2:3$

4 0

3 years ago

Write the equation of the line that has a slope of 2 and passing through (3,-4) point

wel

Answer:

$y=2x-10$

Step-by-step explanation:

We know that the line has a slope of 2 and it passes through the point (3, -4).

So, we can use the point-slope form:

$y-y_1=m(x-x_1)$

Where m is the slope and (x₁, y₁) is a point.

So, let’s substitute 2 for m and (3, -4) for (x₁, y₁). This yields:

$y-(-4)=2(x-3)$

Solve for y. Distribute the right:

$y+4=2x-6$

Subtract 4 from both sides. Therefore, our equation is:

$y=2x-10$

4 0

3 years ago

13. Which is Not independent 14 . 2 coins tossed , probability

Luden [163]

Answer:

13. B) You pull a green tile from a bag of tiles, return it, and then pull a yellow tile.

14. A) 1/2.

How this helps you! (:

-Hamilton1757

3 0

3 years ago

Read 2 more answers

Find the distance between the following points (-2,4) (3,2)

galina1969 [7]

Answer:

https://www.mathwarehouse.com/calculators/distance-formula-calculator.php?x1=-2&y1=.4&x2=3&y2=2

Step-by-step explanation:

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3 years ago

Which matrix represents the system of equations shown below 2x=13 and 3x-2y=11

makkiz [27]

Answer:

A. Matrix A

Step-by-step explanation:

When you put a systems of linear equations in matrix form, you take only the coefficients of the xy terms and sort them. x goes first, y comes after, and the numbers after the bars are the constants.

4 0

3 years ago