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iragen [17]
2 years ago
7

{x-4}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Tatiana [17]2 years ago
7 0

For this case we have that by definition of properties of powers and roots, it is fulfilled that:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

n

a

m

=a

n

m

So:

\sqrt [4] {9 ^ {\frac {1} {2} x}} = 9 ^ {\frac {\frac {1} {2}} {4} x} = 9 ^ {\frac {1} {8} x}

4

9

2

1

x

=9

4

2

1

x

=9

8

1

x

So, we have to:

\sqrt [4] {9 ^ {\frac {1} {2} x}} = 9 ^ {\frac {1} {8} x}

4

9

2

1

x

=9

8

1

x

Answer:

9 ^ {\frac {1} {8} x}9

8

1

x

Option B

pa heart mo na at i reat mo ko at i follow

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TriangleABC has three sides with these lengths: AB=9, BC=40, and CA=41, What is the value of cos C?
Otrada [13]

Answer:

9² = 40² + 41² - 2(40)(41) cos(C)

81 = 1600 + 1681 - 3280 cos(C)

81 = 3281 - 3280 cos(C)

-3200 = -3280 cos(C)

cos(C) = 3200 / 3280

cos(C) = 40 / 41

Step-by-step explanation:

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3 years ago
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4y + 10 =
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Calculate the pay for the following day of a weekly time card given a wage of $14/hr
xxTIMURxx [149]

Answer: $122.50

Step-by-step explanation:

We know the difference between the time the employee clocked in and clocked out = 1200 - 0800 = 4 hours

The next clock in and out = 17:30 - 12:45 = 4 hours, 45 minutes.

These times combined = 8 hours, 45 minutes

\frac{45}{60} minutes in an hour = \frac{3}{4} of an hour.

The total time worked was 8 \frac{3}{4} hours.

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I am not a professional, simply using prior knowledge.

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8 0
3 years ago
consider a sequence of independent tosses of a biased coin at times k=0,1,2,…,n. On each toss, the probability of Heads is p, an
omeli [17]

Answer:

1. p*(1-p)

2. n*p*(1-p)

3. p*(1-p)

4. 0

5. p^2*(1-p)^2

6. 57/64

Step-by-step explanation:

1. Let Ik denote the reward (possibly 0) given at time k, for k∈{1,2,…,n}. Find E[Ik].

E[Ik]=  p*(1-p)

2. Using the answer to part 1, find E[R].

E[R]=  n*p*(1-p)

The variance calculation is more involved because the random variables I1,I2,…,In are not independent. We begin by computing the following values.

3. If k∈{1,2,…,n}, then

E[I2k]= p*(1-p)  

4. If k∈{1,2,…,n−1}, then

E[IkIk+1]=  0

5. If k≥1, ℓ≥2, and k+ℓ≤n, then

E[IkIk+ℓ]=  p^2*(1-p)^2

6. Using the results above, calculate the numerical value of var(R) assuming that p=3/4, n=10.

var(R)= 57/64

5 0
2 years ago
Tom was measuring a piece of wood to build a shelf for his daughter. The shelf is 36 inches long. He tells his daughter, Hadlee
Rasek [7]
They are the same length,because 3 fr is the same as 12 inches times 3 equals 36 inches
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