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shepuryov [24]
3 years ago
15

Which formula can be used to express the law of conservation of momentum, where p = momentum?

Mathematics
2 answers:
Anestetic [448]3 years ago
6 0

Answer:

The answer is A. pi=pf

Step-by-step explanation:

Just took the test

likoan [24]3 years ago
6 0

Answer: pi = pf

Step-by-step explanation:

Took the test on edgenuity and got it correct.

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Evaluate lim x→∞ (3x+1)^(4/x), using l'hospital's rule as needed. show all work using proper notation. as you show your work, if
Alborosie
\displaystyle\lim_{x\to\inty}(3x+1)^{4/x}=\lim_{x\to\infty}e^{\ln(3x+1)^{4/x}}=e^{\lim\limits_{x\to\infty}\ln(3x+1)^{4/x}}

\displaystyle\lim_{x\to\infty}\ln(3x+1)^{4/x}=\lim_{x\to\infty}\frac{4\ln(3x+1)}x\stackrel{\mathrm{LHR}}=\lim_{x\to\infty}\frac{4\frac3{3x+1}}1=\lim_{x\to\infty}\frac{12}{3x+1}=0

\implies\displaystyle\lim_{x\to\infty}(3x+1)^{4/x}=e^0=1
4 0
4 years ago
QUICK HELP!!!!
sasho [114]

Answer:

y =  \frac{3}{4} x -  \frac{3}{2}

Step-by-step explanation:

y =  \frac{3}{4} x - 1→y - y1 = m( x - x1)

y - 6 =  \frac{3}{4} (x - 6)→y - 6 =  \frac{3}{4} x - 6

2(y - 6) = 2( \frac{3}{4} )(x - 6)

2y - 6=  \frac{3}{2}( x - 6)

2y - 6 =  \frac{3}{2} x - 9

- 6 \: from \: both \: sides

2y  =  \frac{3}{2} x - 3

divede \: by \: 2 \: on \: both \: sides

y =  \frac{3}{4} x -  \frac{3}{2}

Hope this helps!

7 0
3 years ago
In the given figure find the value of x and y?<br>Show you works - Thank you!​
Vaselesa [24]

<u>EXPLANATION</u><u>:</u>

In ∆ ABC , ∠ABC = 40°

  • ∠CAB = x°
  • & ∠ACD = 50°

∠ACD is an exterior angle formed by extending BC to D

We know that

The exterior angle of a triangle formed by extending one side is equal to the sum of the opposite interior angles.

∠ACD = ∠CAB + ∠ABC

⇛50° = x° + 40°

⇛x° = 50°-40°

<h3>⇛x° = 10°</h3>

and

In ∆ ACD , AC = CD

⇛ ∠CDA = ∠CAD

Since the angles opposite to equal sides are equal.

Let ∠CDA = ∠CAD = A°

We know that

The sum of all angles in a triangle is 180°

In ∆ ACD,

∠CDA +∠CAD + ∠ACD = 180°

A°+A°+50° = 180°

⇛2A°+50° = 180°

⇛2A° = 180°-50°

⇛2A° = 130°

⇛A° = 130°/2

⇛A° = 65°

now,

∠CDA = ∠CAD = 65°

∠BAC + ∠CAD+y = 180°

Since angles in the same line

10°+65°+y = 180°

⇛75°+y =180°

⇛y = 180°-75°

<h3>⇛y = 105°</h3>

<u>Answer</u><u>:</u> Hence, the value of “x” & “y” will be 10° and 105° respectively.

4 0
3 years ago
In choice box 1
lisov135 [29]

Answer:

Choice box 1: Always

Choice box 2: exactly 2 pairs

Choice box 3: adjacent

Step-by-step explanation:

If you look at a picture of a kite.

You always see the two top sides the same size and the two bottom sides the same size. Take a look at this picture.

8 0
2 years ago
Read 2 more answers
Kaliska is jumping rope. The vertical height of the center of her rope off the ground R(t) (in cm) as a function of time t (in s
xz_007 [3.2K]

Answer:

R (t) = 60 - 60 cos (6t)

Step-by-step explanation:

Given that:

R(t) = acos (bt) + d

at t= 0

R(0) = 0

0 = acos (0) + d

a + d = 0 ----- (1)

After \dfrac{\pi}{12} seconds it reaches a height of 60 cm from the ground.

i.e

R ( \dfrac{\pi}{12}) = 60

60 = acos (\dfrac{b \pi}{12}) +d --- (2)

Recall from the question that:

At t = 0, R(0) = 0 which is the minimum

as such it is only  when a is  negative can acos (bt ) + d can get to minimum at t= 0

Similarly; 60 × 2 = maximum

R'(t) = -ab sin (bt) =0

bt = k π

here;

k  is the integer

making t the subject of the formula, we have:

t = \dfrac{k \pi}{b}

replacing the derived equation of k into R(t) = acos (bt) + d

R (\dfrac{k \pi}{b}) = d+a cos (k \pi) = \left \{ {{a+d  \ for \ k \ odd} \atop {-a+d \ for k \ even}} \right.

Since we known a < 0 (negative)

then d-a will be maximum

d-a = 60  × 2

d-a = 120 ----- (3)

Relating to equation (1) and (3)

a = -60 and d = 60

∴ R(t) = 60 - 60 cos (bt)

Similarly;

For R ( \dfrac{\pi}{12})

R ( \dfrac{\pi}{12}) = 60 -60 \ cos (\dfrac{\pi b}{12}) =60

where ;

cos (\dfrac{\pi b}{12}) =0

Then b = 6

∴

R (t) = 60 - 60 cos (6t)

7 0
3 years ago
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