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WINSTONCH [101]
3 years ago
10

When rotating a figure, which is equivalent to a 1/4 -turn counterclockwise rotation?

Mathematics
2 answers:
Brrunno [24]3 years ago
5 0
This translates to a clockwise rotation through 90 degrees
levacccp [35]3 years ago
3 0
360 clockwise / 4 = 90 clockwise
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The town of Madison has a population of 25000. the population is increasing by a factor of 1.12 each year.
Lena [83]

Answer:

P(t)=25000(1.12)^t

Step-by-step explanation:

If we start with the initial population size, 25,000 people, and keep multiplying by 1.12 this function gives us the population of Madison t years from now: P(t)=25000(1.12)^t

4 0
3 years ago
Read 2 more answers
A tank contains 1600 L of pure water. Solution that contains 0.04 kg of sugar per liter enters the tank at the rate 2 L/min, and
goldfiish [28.3K]

Let S(t) denote the amount of sugar in the tank at time t. Sugar flows in at a rate of

(0.04 kg/L) * (2 L/min) = 0.08 kg/min = 8/100 kg/min

and flows out at a rate of

(S(t)/1600 kg/L) * (2 L/min) = S(t)/800 kg/min

Then the net flow rate is governed by the differential equation

\dfrac{\mathrm dS(t)}{\mathrm dt}=\dfrac8{100}-\dfrac{S(t)}{800}

Solve for S(t):

\dfrac{\mathrm dS(t)}{\mathrm dt}+\dfrac{S(t)}{800}=\dfrac8{100}

e^{t/800}\dfrac{\mathrm dS(t)}{\mathrm dt}+\dfrac{e^{t/800}}{800}S(t)=\dfrac8{100}e^{t/800}

The left side is the derivative of a product:

\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/800}S(t)\right]=\dfrac8{100}e^{t/800}

Integrate both sides:

e^{t/800}S(t)=\displaystyle\frac8{100}\int e^{t/800}\,\mathrm dt

e^{t/800}S(t)=64e^{t/800}+C

S(t)=64+Ce^{-t/800}

There's no sugar in the water at the start, so (a) S(0) = 0, which gives

0=64+C\impleis C=-64

and so (b) the amount of sugar in the tank at time t is

S(t)=64\left(1-e^{-t/800}\right)

As t\to\infty, the exponential term vanishes and (c) the tank will eventually contain 64 kg of sugar.

7 0
3 years ago
sandi has 2 1/3 cases of car oil in her garage. a full case contains 12 quarts. how many quarts of oil does sandi have?
timurjin [86]
Amount of oil sandi has = 2 1/3 * 12

 =   7/3 * 12 = 7*4 = 28 quarts
4 0
3 years ago
What's
Iteru [2.4K]

Answer:

374/105.

Step-by-step explanation:

1/3 of 8 * 2/7

= 1/3 * 8 * 2/7

= 8/3 * 2/7

= 16/21.

2/5 of 7

=  2/5 * 7

= 14/5.

Adding 16/21 + 14/5

= 80 / 105 + (14*21) / 105

=  80/105 + 294/105

= 374/105.

8 0
3 years ago
Can someone please help me?
CaHeK987 [17]

Answer:

there just adding 2 more stars ,, 1 has 2 , 2 has 4, and 3 has 6

Step-by-step explanation:

7 0
2 years ago
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