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2 years ago

Hey, Please help!!

Mathematics

1 answer:

Mazyrski [523]2 years ago

5 0

Step-by-step explanation:

1. d = rt

Divide t from both sides.

$\frac{d}{t} = r$

2. PV = nRT

Divide P from both sides.

$V = \frac{nRT}{P}$

3. $\frac{x}{2} -g=a\\$

Add g to both sides.

$\frac{x}{2}$ = g + a

Now multiply by 2 on both sides.

x = 2(g + a)

(or, x = 2g + 2a)

4. g $(h+\frac{3}{2} ) = 11$

Divide g from both sides.

$h + 1.5 = \frac{11}{g}$

Now subtract 1.5 from both sides.

h = $\frac{11}{g} -1.5$

5. $a(n-2)+5=bn\\$

n = $\frac{2a-5}{a - b}$

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Someone please help me with this 8 = 2-h / 7 [h]

Alika [10]

Step-by-step explanation:

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3 0

2 years ago

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What if we draw three socks from the box instead. what is the probability that we draw a matching pair? (having all three socks

frutty [35]

There is a chance of 1/16*1/15 that she gets the specific socks pair according to laws of probability and the counting principle but thats not how it will work over here.

As we should be guaranteed that she gets the number of socks she obviously must take out around 9 socks as we are taking the worst case scenario where all the socks that come out are the different ones so the ninth sock must match any of the others.

But if we draw three socks obviously the probability is 1/16*1/15*13/14 as we dont want the third one to be same. We can multiply the answer by 3 as it can be in three different orders.

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3 years ago

(a) Find a vector parallel to the line of intersection of the planes −4x+2y−z=1 and 3x−2y+2z=1.

valentinak56 [21]

Find the intersection of the two planes. Do this by solving for z in terms of x and y ; then solve for y in terms of x ; then again for z but only in terms of x.

-4x + 2y - z = 1 ==> z = -4x + 2y - 1

3x - 2y + 2z = 1 ==> z = (1 - 3x + 2y)/2

==> -4x + 2y - 1 = (1 - 3x + 2y)/2

==> -8x + 4y - 2 = 1 - 3x + 2y

==> -5x + 2y = 3

==> y = (3 + 5x)/2

==> z = -4x + 2 (3 + 5x)/2 - 1 = x + 2

So if we take x = t, the line of intersection is parameterized by

r(t) = ⟨t, (3 + 5t )/2, 2 + t⟩

Just to not have to work with fractions, scale this by a factor of 2, so that

r(t) = ⟨2t, 3 + 5t, 4 + 2t⟩

(a) The tangent vector to r(t) is parallel to this line, so you can use

v = dr/dt = d/dt ⟨2t, 3 + 5t, 4 + 2t⟩ = ⟨2, 5, 2⟩

or any scalar multiple of this.

(b) (-1, -1, 1) indeed lies in both planes. Plug in x = -1, y = 1, and z = 1 to both plane equations to see this for yourself. We already found the parameterization for the intersection,

r(t) = ⟨2t, 3 + 5t, 4 + 2t⟩

3 0

2 years ago

A farm packages eggs into cartons that hold two dozen eggs each. Last week, 5,398 eggs were collected. How many cartons will the

Sonbull [250]

Answer:

225

Step-by-step explanation:

We're told that each carton holds two dozen eggs, or 24 eggs. To find out how many cartons the farm will need, we divide the total amount of eggs by the amount of eggs that fit in each carton. So:

$\frac{5398}{24} = 224.916667$