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3 years ago

Explain why a polar curve is not always bounded

Mathematics

2 answers:

GalinKa [24]3 years ago

8 0

Answer:

vvvvvvvvvv

Step-by-step explanation:

there are lots of common polar curves that are bounded therefore a polar curve is not always bounded all the time. a polar curve is required to have an unbounded function (right side of r = f(θ)) to be an unbounded polar.

nikitadnepr [17]3 years ago

8 0

Answer:

There are lots of common polar curves that are bounded therefore a polar curve is not always bounded all the time. A polar curve is required to have an unbounded function (right side of r = f(θ)) to be an unbounded polar.

be safe and have a day

∵∴∵∴∵∴∵∴∵

⊕ΘΞΠΤ⊕

∵∴∵∴∵∴∵∴∵

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Where does the number 8.1 lie on the number line?

yanalaym [24]

Well, the number is more than 8, but less than 9, so it must be between 8 and 9

4 0

3 years ago

Read 2 more answers

The quantity demanded x each month of Russo Espresso Makers is 250 when the unit price p is $138. The quantity demanded each mon

Stells [14]

Answer:

(a) $D(q)=\frac{-1}{25} q+148$

(b) $S(q)=\frac{1}{50}q+58$

Step-by-step explanation:

(a) For the demand equation D(q) we have

P1: 138 Q1: 250

P2: 108 Q2: 1000

We can find m, which is the slope of the demand equation,

$m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{108-38}{1000-250} =\frac{-30}{750}=\frac{-1}{25}$

and then we find b, which is the point where the curve intersects the y axis.

We can do it by plugging one point and the slope into the line equation form:

$y=mx+b\\\\D(q)=mq+b\\\\138=\frac{-1}{25}(250) +b\\\\138=-10+b\\\\138+10=b=148$

With b: 148 and m: -1/25 we can write our demand equation D(q)

$D(q)=\frac{-1}{25} q+148$

(b) to find the supply equation S(q) we have

P1: 102 Q1: 2200

P2: 102 Q2: 700

Similarly we find m, and b

$m=\frac{p_{2} -p_{1} }{q_{2} -q_{1} }=\frac{72-102}{700-2200} =\frac{-30}{-1500}=\frac{1}{50}$

$y=mx+b\\\\D(q)=mq+b\\\\72=\frac{1}{50}(700) +b\\\\72=14+b\\\\72-14=b=58\\$

And we can write our Supply equation S(q):

$S(q)=\frac{1}{50}q+58$

(c) Now we may find the equilibrium quantity q* and the equilibrium price p* by writing D(q)=S(q), which means the demand equals the supply in equilibrium:

$D(q)=S(q)\\\\\frac{-1}{25}q+148=\frac{1}{50}q+58\\\\$

$148-58=\frac{1q}{50} +\frac{1q}{25} \\\\90= \frac{1q}{50} +\frac{2q}{50}\\\\90=\frac{3q}{50}\\ \\q=1500\\\\$

We plug 1500 as q into any equation, in this case S(q) and we get:

$S(q)=\frac{1}{50}q+58\\\\S(1500)=\frac{1}{50}(1500)+58\\\\S(1500)=30+58\\\\S(1500)=88$

Which is the equilibrium price p*.

8 0

3 years ago

For the given pair of events A and B, complete parts (a) and (b) below. A: When a page is randomly selected and ripped from

Kitty [74]

Answer:

The two events are dependent.

the probability that events A and B both occur is:

$\frac{1}{2424}\times \frac{1}{2423}=1.7026052585\times 10^{-7}\ or\ 0.00000017$

Step-by-step explanation:

Consider the provided information.

Event A: When a page is randomly selected and ripped from a 2424-page document and destroyed, it is page 2020.

Event B: When a different page is randomly selected and ripped from the document, it is page 1616.

Part(A)

The occurring of one event affects the probability of the other event.

Because if we ripped one page then the probability of ripping second page will going to change as the size of sample space will decrease.

For example: The document has 2424 page, that means size of sample space is 2424. If we ripped another page, the sample size will be 2423. That means event B is depending on event A.

Thus, the two events are dependent.

Part(B)

The probability that events A and B both occur.

If we select a page randomly from 2424-page document, the probability will be: 1/2424

Now we have 2423 pages left in the document as one page is destroyed.

The probability of selecting another page is: 1/2423.

Thus, the probability that events A and B both occur is:

$\frac{1}{2424}\times \frac{1}{2423}=1.7026052585\times 10^{-7}\ or\ 0.00000017$

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4 years ago

How do i write 3y-9x=24 in function notation

Lemur [1.5K]

To write an expression in function notation, you must solve it for the dependent variable.

Assuming that you want the expression to be written in the form $y = f(x)$ (i.e., assuming that x is the independent variable), we have to solve the expression for y, which means that we want y to remain alone on the left hand side, and move everything else to the right hand side.

So, first of all, we can add 9x to both sides to get

$3y = 9x+24$

Finally, we divide both sides by 3:

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3 years ago

PLEASE HELP!! I need help on problems #5, #6, #9, #10 Picture attached Thank you!

Romashka-Z-Leto [24]

Answer:

5. TS ≅ ML

6. ∠N≅∠U

9. m∠P = 80°

10. QR = 3

Step-by-step explanation:

The congruent symbol ≅ indicates that the two shapes have the same angle and side lengths.

5. TS are the third and second letter in RSTUV. The third and second letters in KLMNO are ML. TS ≅ ML

6. N is the fourth letter in KLMNO. The fourth letter is RSTUV is U. ∠N≅∠U

9. ∠P is congruent to ∠W. Notice they are both on the longer side and the wider angle. Since m∠P ≅ m∠W, and m∠W = 80°, then m∠P = 80°

10. QR is congruent to XY. They are both the shortest sides of the shape. QR ≅ XY and XY = 3, then QR = 3

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3 years ago