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2 years ago

Enter 72% as a fraction in the simplest form

Mathematics

2 answers:

V125BC [204]2 years ago

7 0

Answer:

18/25

Step-by-step explanation:

72% = 72/100

72/100 simplified

=18/25

Evgesh-ka [11]2 years ago

4 0

It would be 72/100 but then simplified to 36/50 but then simplified again to be 18/25

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"Suppose an object falling in the atmosphere has mass m=15kg and the drag coefficient is γ=9kg/s. Recall that the differential e

Art [367]

Answer:

a. v(t)= -6.78 $e^{-16.33t}$ + 16.33 b. 16.33 m/s

Step-by-step explanation:

The differential equation for the motion is given by mv' = mg - γv. We re-write as mv' + γv = mg ⇒ v' + γv/m = g. ⇒ v' + kv = g. where k = γ/m.Since this is a linear first order differential equation, We find the integrating factor μ(t)= $e^{\int\limits^ {}k \, dt }$ = $e^{kt}$ . We now multiply both sides of the equation by the integrating factor.

μv' + μkv = μg ⇒ $e^{kt}$ v' + k $e^{kt}$ v = g $e^{kt}$ ⇒ [v $e^{kt}$ ]' = g $e^{kt}$ . Integrating, we have

∫ [v $e^{kt}$ ]' = ∫g $e^{kt}$

v $e^{kt}$ = $\frac{g}{k}$ $e^{kt}$ + c

v(t)= $\frac{g}{k}$ + c $e^{-kt}$ .

From our initial conditions, v(0) = 9.55 m/s, t = 0 , g = 9.8 m/s², γ = 9 kg/s , m = 15 kg. k = y/m. Substituting these values, we have

9.55 = 9.8 × 15/9 + c $e^{-16.33 * 0}$ = 16.33 + c

c = 9.55 -16.33 = -6.78.

So, v(t)= 16.33 - 6.78 $e^{-16.33t}$ . m/s = - 6.78 $e^{-16.33t}$ + 16.33 m/s

b. Velocity of object at time t = 0.5

At t = 0.5, v = - 6.78 $e^{-16.33 x 0.5}$ + 16.33 m/s = 16.328 m/s ≅ 16.33 m/s

6 0

2 years ago

The floor of a room is being covered with tile. An area one half

tangare [24]

Answer:

Only the floor area $\frac{3}{8}$ has been covered

Step-by-step explanation:

Assuming that the floor of the room is rectangular, then its area is equal to the product of its length times its width.

$A = lw$

Let's now call A 'the area that was covered with tiles.

We know that half the length was covered, then:

$l' = \frac{1}{2}l$

$w' = \frac{3}{4}w$

So:

$A' = \frac{1}{2}l(\frac{3}{4}w)$

$A' = \frac{3}{8}lw$

Finally:

$A' = \frac{3}{8}A$

4 0

2 years ago

Barney & Noblet customers can choose to purchase a membership for $25 per year Members receive 10% off all store purchases

Law Incorporation [45]

Answer:

$70
y = 25 + 0.9x
$250

Step-by-step explanation:

1. 10% of $50 is $5, so the purchases would come to $50 -5 = $45. Added to the $25 membership fee, the total cost for the year would be

$45 +25 = $70

2. The member pays $25 even if no purchases are made. Then any purchases are 100% - 10% = 90% of the marked price. So, the total is ...

y = 25 + 0.90x

3. $25 is 10% of $250, so that is the amount the member would have to purchase to break even on cost.

If you like, you can compare the cost without the membership (x) to the cost with the membership (25+.9x) and see where those costs are equal.

x = 25 +0.9x . . . . . x is the spending level at which there is no advantage

0.1x = 25 . . . . . . . . subtract 0.9x

25/0.1 = x = 250 . . . divide by 0.1

4 0

2 years ago

WILL GIVE BRAINLEIST NEED TO TURN IN BY 9 P.M. PLS HURRY SUPER EASY

yuradex [85]

Answer:

y=2,1

Step-by-step explanation:

If X has to be more than 2 but less than 6 it must be 3,4,5

Because the equation is + that eliminates the answer 5

So the equation can be

3+2=5 or 4+1=5

I hope this helps!

6 0

3 years ago

What would be the slope of the positions (3,3) and (4,5)

Softa [21]

Answer:

m = 2

Step-by-step explanation:

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Simply plug our coordinates into the slope formula and solve for <em>m</em>:

m = (5 - 3)/(4 - 3)

m = 2/1

m = 2

6 0

3 years ago

Read 2 more answers