Simplify the expression. 6p5

Answers

Answer 1

Answer: If you are considering P of the permutation and combination. Then simply pit the figure 6P5 in calculator and your answer will be 720. Or if not calculator then the formula is P(n,r)= n(factorial)/ (n-r)factorial.

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The circumference is 307.72 yards. What is the diameter?

Answers

I think its ans is

30 inches

The answer is 30 inches

The schedule of a train that travels regularly between Pune and Delhi is given below. Station Arrive Depart Pune 5:30 a.m. 6:00 a.m. Mumbai 8:15 a.m. 8:30 a.m. Surat 4:30 p.m. 5:10 p.m. Mathura 12:40 a.m. 1:25 a.m. Delhi 4:40 a.m. −− How long will it take Sam to travel from Pune to Delhi on this train? hours minutes

Answers

To determine the travel time, we need to calculate the time difference between the departure from Pune and the arrival in Delhi. According to the schedule:

Pune departure: 6:00 a.m.
Delhi arrival: 4:40 a.m.

To calculate the travel time, we can subtract the departure time from the arrival time. However, since the arrival time is the next day, we need to consider that as well. Let's break it down:

From Pune to Mumbai: 8:30 a.m. - 6:00 a.m. = 2 hours and 30 minutes
From Mumbai to Surat: 5:10 p.m. - 8:30 a.m. = 8 hours and 40 minutes
From Surat to Mathura: 1:25 a.m. - 4:30 p.m. = 11 hours and 55 minutes
From Mathura to Delhi: 4:40 a.m. (next day) - 12:40 a.m. = 4 hours

Now, let's add up the individual travel times:

2 hours 30 minutes + 8 hours 40 minutes + 11 hours 55 minutes + 4 hours = 27 hours 5 minutes

Therefore, it will take Sam approximately 27 hours and 5 minutes to travel from Pune to Delhi on this train. ⏰

1 7/3 in simplest form

Answers

It is already in simplest form, since 17 is a prime number.

Writing equation of parabolas
Vertex at origin, Focus (0,-1/32)

Answers

-b/2a = 0 => b = 0; -Δ/4a = -1/32, where Δ = $b^(2) - 4ac = -4ac$ => -4ac/4a = -1/32 => c = 1/32, where a is not 0 => equation of parabolasVertex at origin, Focus (0,-1/32) is y = a $x^(2)$ + 1/32;

Find the vertex, focus, and directrix. y = 1/24(x+1)² - 3.

Answers

$y = (1)/(24)(x+1)^2 - 3\n\ny+3 =(1)/(24)(x+1)^2\ \ / *24\n\n (x+1)^2 = 24(y+3)$

This is an equation of a parabola that opens upwards.

$Its \ standard \ form: \n(x-h)^2=4p(y-k)\n (h,k)=(x,y) \ coordinates \ of \ the \ vertex\n\ (h,k)=(-1,-3) \n\naxis \ of \ symmetry: \ x= -1\n \n4p=24\ \ /:4\np=6$

$focus:(h,k+p)=(-1,-3+6)=(-1,3) \n \ndirectrix: \ y=k-p=-3-6=-9$

$the\ equation\ in\ the\ form\ (x-h)^2=4p(y-k)\ is \ a\ parabola\nwith\ a\ vertex\ at\ \ (h,\ k), \na\ focus\ at\ \ (h,k+p)\n\ and\ a\ directrix\ \ y = k - p \n\n y = 1/24(x+1)^2 - 3\ \ \ \ \Rightarrow\ \ \ y+3 = 1/24(x+1)^2\ /\cdot24\n\n 24\cdot(y+3)=(x+1)^2\n\n(x+1)^2=4p(y+3)\ \ \Rightarrow\ \ 4p=24\ \ \Rightarrow\ \ p=6\ \ \ and\ \ \ h=-1,\ k=-3\n\nthe\ vertex:\ \ \ (h;\ k)=(-1;\ -3)\n\nthe\ focus:\ \ \ (h;\ k+p)=(-1;\ -3+6)=(-1;\ 3)\n\nthe\ directrix:\ \ \ y=k-p\ \ \ \Rightarrow\ \ \ y=-3-6=-9$

The product of (3+2i) and a complex number is (17+7i)

What is the complex number.

Answers

The question is asking us to find the complex number such that: ( 3 + 2 i ) * x = 17 + 7 i. We know that i^ 2 = - 1. x = ( 17 + 7 i ) / ( 3 + 2 i ) . We have to multiply the numerator and the denominator by ( 3 - 2 i ). Then: x = ( 17 + 7 i ) * ( 3 - 2 i ) / ( 9 - 4 i^2 ) = ( 51 - 34 i + 21 i - 14 i^2 ) / ( 9 + 4 ) = ( 51 + 14 - 13 i ) / 13 = ( 65 - 13 i ) / 13 = 65 / 13 - 13 i / 13 = 5 - i. Answer: The complex number is 5 - i.

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