Which expressions are in their simplest form? Check all that apply.

If g(x)=x^2-5, determine g(h+1)

dusya [7]

It is 126 x=67 I hope this helps

5 0

3 years ago

Find the sum of series 4/(4n-3) (4n+1)

ANTONII [103]

$\dfrac4{(4n-3)(4n+1)}=\dfrac1{4n-3}-\dfrac1{4n-1}$

Assuming the sum starts at $n=1$ , the $N$ th partial sum is

$\displaystyle\sum_{n=1}^N\left(\frac1{4n-3}-\frac1{4n-1}\right)=\left(1-\frac15\right)+\left(\frac15-\frac19\right)+\cdots+\left(\frac1{4N-7}-\frac1{4N-3}\right)+\left(\frac1{4N-3}-\frac1{4N+1}\right)$
$\displaystyle\sum_{n=1}^N\left(\frac1{4n-3}-\frac1{4n-1}\right)=1-\frac1{4N-1}$

As $N\to\infty$ , you're left with simply 1.

8 0

3 years ago

The ANSWERS and how to get them

Nookie1986 [14]

Answer: The answers for question 3 are x = 5, y = 13, and z = 10.

Now for question #4. The answer for those are a = 6.40312, b = 6.70820, c = 9.43398, d = 5.29150, e = 4.89898, f = 7.54983.

You would solve all these problems by using this formula a^2 + b^2 = c^2 with a and b representing two of the legs and c representing the hypotenuse (the longest side.) Simply input the respective numbers for the appropriate variables and solve for the missing variable.

Now lastly question #5. We just need to solve for the diagonal length. The answers are as follows. 5.66, 7.07, and 9.9. You get these answers by using the formula for finding a diagonal in a square which is d= $\sqrt{}$ 2a

6 0

4 years ago

Solve by graphing:<br> y = 4x - 10<br> y = 3x - 5

Andrews [41]

Hey the solution to your question is (5,10).

8 0

3 years ago

An airline experiences a no-show rate of 6%. What is the maximum number of reservations that it could accept for a flight with a

sasho [114]

Answer:

Step-by-step explanation:

Use the normal approximation to the binomial distribution

mean µ = np

standard deviation σ = √npq

Where,

n is sample size

p is probability of success.

q is probability of failure

Given that

q = 6% =0.06

Then, p = 1-q = 1-0.06 = 0.94

Therefore:

µ = pn

µ = 0.94n

Also

σ = √npq

σ = √(n)(0.94)(0.06)

σ = √(.0564n)

Using z-scores:

z = (x — µ )/σ

Using the data above

1.645 = (160 — 0.94n)/√(0.0564n)

Cross multiply

1.645√0.0564n = 160—0.94n

Square both sides

1.645²× 0.0564n = (160-0.94n)

0.153n=25600— 300.8n + 0.8836n²

0.8836n²-300.8n-0.153n +25600=0

0.8836n² — 300.953n + 25600 = 0

Using quadratic formula method.

a = 0.8836 b = -300.953 c = 25600

n = [-b±√(b²-4ac)]/2a

n = [--300.953±√((-300.953)²-4×0.8836×25600)] / (2 × 0.8836)

n = [300.953±√(92.07)]/1.7672

n = (300.953±9.6)/1.762

n = (300.953-9.6)/1.762

n = 168.22

Or

n = (300953+9.6)/1.762

n = 176.25

The maximum number of reservation is approximately 168.

6 0

4 years ago