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3 years ago

Solve for t if p≠q (t+p)/q - q/p = (t-q)/p + p/q

Mathematics

1 answer:

german3 years ago

6 0

Answer:

.. q T 0 = (q/p)a (q/p)a − (q/p)T−10 if p ≠ q and qT0 = 1 − T0/a if p = q = 1/2.

Step-by-step explanation:

Suppose that there are two different solutions, p and q, in [a, b]. Thus p =g(p) q =g(q) p ≠ q The function g(x) satisfies the hypotheses of the mean-value ... that g(p) –g(q) = (p – q) g׳(t) Because g(p) =p and g(q) = q, the left side of Eq. (1-3) may...

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Simplify each of the following powers of i. i^99=

Scorpion4ik [409]

I= sqrt (-1)

If the power is
- even then the value could be -1 or 1
-odd then the value could be -i or i

99 is odd so now is
-i if (99+1)/2 is even or is
i is (99+1)/2 is odd

Now check (99+1)/2= 100/2= 50,
50 is even so
i^99 = -i

8 0

3 years ago

Read 2 more answers

Suppose you pay a dollar to roll two dice. if you roll 5 or a 6 you Get your dollar back +2 more just like it the goal will be t

LiRa [457]

Answer:

(a)$67

(b)You are expected to win 56 Times

(c)You are expected to lose 44 Times

Step-by-step explanation:

The sample space for the event of rolling two dice is presented below

$(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)\\(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)\\(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)\\(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)$

Total number of outcomes =36

The event of rolling a 5 or a 6 are:

$(5,1), (6,1)\\ (5,2), (6,2)\\( (5,3), (6,3)\\ (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)$

Number of outcomes =20

Therefore:

P(rolling a 5 or a 6) $=\dfrac{20}{36}$

The probability distribution of this event is given as follows.

$\left|\begin{array}{c|c|c}$Amount Won(x)&-\$1&\$2\\&\\P(x)&\dfrac{16}{36}&\dfrac{20}{36}\end{array}\right|$

First, we determine the expected Value of this event.

Expected Value

$=(-\$1\times \frac{16}{36})+ (\$2\times \frac{20}{36})\\=\$0.67$

Therefore, if the game is played 100 times,

Expected Profit =$0.67 X 100 =$67

If you play the game 100 times, you can expect to win $67.

(b)

Probability of Winning $=\dfrac{20}{36}$

If the game is played 100 times

Number of times expected to win

$=\dfrac{20}{36} \times 100\\=56$ times$

Therefore, number of times expected to loose

= 100-56

=44 times

8 0

3 years ago

What are convex polygnos

Archy [21]

Answer:

Step-by-step explanation:

Polygons (shapes made of straight lines) where no angle is greater than 180 degrees. If even one angle is greater than 180 then it is a concave polygon.

5 0

3 years ago

Solve for x.

egoroff_w [7]

∑ Hey, KLPJDP615 ⊃

Answer:

x = 6 or x = -10

Step-by-step explanation:

Given:

Solve for x.

1 + |2+x|= 9

O x = 4 or x = -8

O x = 7 or X = -11

O x = 5 or x = -9

x = 6 or X = -10

Solve:

1 + |2+x|= 9

Subtract 1 from both sides:

1 + |2 +x| -1 = 9-1

Simplify

|2 + x | = 8

Applying absolute value rule: If |u| = a, a > 0 then u = a or u = -a

2 + x = -8

2 + x = 8

Solving:

2 + x = -8

2 - 2 + x = -8 - 2

x = -10

Solving:

2 + x = 8

2 - 2 + x = 8 - 2

x = 6

Hence, x = 6 or x = -10

xcookiex12

8/26/2022

3 0

2 years ago

Which is the measure of AB? A. 10 feet B. 15 feet C. 20 feet D. 100 feet

Jobisdone [24]

Answer:

tHE ANSWER IS 10X15

Step-by-step explanation:

10X15=150

7 0

3 years ago