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skad [1K]
3 years ago
7

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:

<u><em>Given:</em></u>

<em>Solve for x.</em>

<em>1 + |2+x|= 9</em>

<em>O x = 4 or x = -8</em>

<em>O x = 7 or X = -11</em>

<em>O x = 5 or x = -9</em>

<em>x = 6 or X = -10 </em>

<u><em>Solve:</em></u>

<em>1 + |2+x|= 9</em>

<em>Subtract 1 from both sides:</em>

<em>1 + |2 +x| -1 = 9-1 </em>

<em>Simplify</em>

<em>|2 + x | = 8</em>

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

<em>2 + x = -8</em>

<em>2 + x = 8</em>

<u><em>Solving:</em></u>

<em>2 + x = -8</em>

<em>2 - 2 + x = -8 - 2</em>

<em>x = -10</em>

<u><em>Solving:</em></u>

<em>2 + x = 8</em>

<em>2 - 2 + x = 8 - 2</em>

<em>x = 6</em>

<em />

<em>Hence, x = 6 or x = -10</em>

<em />

<u><em>xcookiex12</em></u>

<em>8/26/2022</em>

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
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