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3 years ago

What is the measure of QPR

Mathematics

1 answer:

Katarina [22]3 years ago

5 0

Answer:

The answer I got was 86.

Step-by-step explanation:

This is called the central angle theorem. This means that the central angle, which in this case is QOR (let the origin (middle) be O), is twice the size of the inscribed angle, which is QPR.

That means: 2 x QPR = QOR

→ 2 * (x-33) = x + 20

→ 2x - 66 = x + 20

Collect the like terms

→ 2x - x = 20 + 66

x = 86

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Verify that P = Ce^t /1 + Ce^t is a one-parameter family of solutions to the differential equation dP dt = P(1 − P).

NemiM [27]

Answer:

See verification below

Step-by-step explanation:

We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

$1-P=1-\frac{ce^t}{1+ce^t}=\frac{1+ce^t-ce^t}{1+ce^t}=\frac{1}{1+ce^t}$

Now, differentiate to obtain

$\frac{dP}{dt}=(\frac{ce^t}{1+ce^t})'=\frac{(ce^t)'(1+ce^t)-(ce^t)(1+ce^t)'}{(1+ce^t)^2}$

$=\frac{(ce^t)(1+ce^t)-(ce^t)(ce^t)}{(1+ce^t)^2}=\frac{ce^t+ce^{2t}-ce^{2t}}{(1+ce^t)^2}=\frac{ce^t}{(1+ce^t)^2}$

To obtain the required form, extract a factor in both the numerator and denominator:

$\frac{dP}{dt}=\frac{ce^t}{1+ce^t}\frac{1}{1+ce^t}=P(1-P)$

3 0

3 years ago

Could someone give me the answer please

o-na [289]

Answer:

the top one, (-1,3)

Step-by-step explanation:

5 0

3 years ago

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A) 75YARDS B) 85 YARDS C)80 YARDS D) 90 YARDS

Amanda [17]

Answer:

________________

I think it's 85 yards

7 0

3 years ago

Help I’ve been working on this problem for about 2 days and I still don’t get it and please explain and show me how to do the wo

Bond [772]

the boiling point of jet fuel is 329 degrees F. Rounded to the nearest degree, what is the temperature in degrees Celcius? Use the Formula: C = 5/9(F - 32), where C represents degrees celcius, and F represents degrees fahrenheit.

A). 165 degrees C

B). 183 degrees C

C). 201 degrees C

D). 535 degrees C

Solve:

C = 5/9(F - 32)

Simplify both sides:

C = 5/9(329 - 32) = 0

Simplify:

5/9

Equation at end of step 1:

C - (5/9 * 297) = 0

C - 165 = 0

Solve single variable:

C - 165 = 0

Add 165 to both sides:

C = 165

Therefore, Your answer would be, Letter Choice (A), (C = 165 degrees C

Hope that helps!!!!! Have a great day!!!!! : )

4 0

3 years ago

6x - 2y = 10 <br> y = -2x + 10

Nookie1986 [14]

Answer:

(3,4)

Step-by-step explanation:

3 0

2 years ago

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