MATHEMATICS HIGH SCHOOL

Find the value of the combination. From a committee consisting of 8 men and 5 women, a subcommittee is formed consisting of 4 men and 3 women. How many different subcommittees are possible? 80

700

1,716

Answers

Answer 1
Answer:
Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.

Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.

Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 . 

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How do you find the derivative of h(t)=sqrt(t)(1-t^2)

Answers

Answer:

Step-by-step explanation:

h(t)=√((t)(1-t^2))\nh^(2)(t)=t(1-t^2)=t-t^3\n diff. w.r.t.,\n2 h(t)h'(t)=1-3t^2\nh'(t)=(1-3t^2)/(2 h(t)) \nh'(t)=(1-3t^2)/(2√((t)(1-t^2)) )

In dry air at a temperature of 68 F, sound travels at the speed of 767 mph or 1125 ft/sec. How many seconds does it take sound to travel 1 miles (5280 ft) in air?

Answers

Answer:

The answer is 4.69 sec

Step-by-step explanation:

We know time taken = distance / speed

here 1 mile = 5280 feet , so 767 mph = 767x 5280 feet /( 60x60 ) s = 1124.93 feet / sec .

now , time taken Time = (5280)/(1124.933)= 4.69 sec

It will take 4.69 sec for the sound to travel 1 mile or 5280 feet .

At 10a.m. Juan leaves the city traveling north at 60 mi/hr. One hour later mel leaves the city traveling south at 50 mi/hr. At what time will they be 830 miles apart?

Answers

-- At 11 AM, when Mel starts out, Juan has already covered 60 miles.

-- After that, since they're traveling in opposite directions, the distance
between them increases (60 + 50) = 110 miles every hour.

Let's call 'H' the number of hours after 11 AM.
Then the distance between them is

D = 110H + 60

When is this distance 830 miles ?  Wouldn't you like to know !

830 = 110H + 60

Subtract 60 from each side:

770 = 110H

Divide each side by 110 :

H = 770 / 110 = 7 .

It happens 7 hours after 11 AM.
That would be 6:00 PM .

(60)/(1) = (830)/(x)
60x = 830
x = 13.83
10 + 13.83 = 23.83
23.83 hours is around 11:50pm

(50)/(1) = (830)/(x)
50x = 830
x = 16.6
11 + 16.6 = 27.6
27.6 - 24 = 3.6
3.6 is around 1:36am

A hallway is 9 yards how long is the inches in the hallway

Answers

1 yard=36 inches
9 times 1=9
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Hello!  To find out how many inched the hallway is, you first need to know how many inches are in a yard.  You need to find the operation that will be needed for this problem, and I'm assuming you don't know, what you want to do is ask yourself,"What am I trying to find?  Wold this best be accomplished with subtraction or division, or multiplication or addition?  Am I looking for what the difference between two, or how many items are needed for even groups?  Do I want to find out how long something will be when added to something else, or multiplied?  

I hoped this helped!  If you have any further questions pertaining to this problem, feel free to shoot me a message or another question!  Good luck :)

The slope of the line passing through the points (2, 7) and (-4, 8) is -6 -1/2 -1/6

Answers

Hello,

m=(8-7)/(-4-2)=-1/6
Answer C

Answer:

-1/6

Step-by-step explanation:

1. The measures of two angles are (5x + 24) and (9x - 17). What is the value of xif theseangles are congruent?

Answers

Answer:

x = 41/4

Step-by-step explanation:

If the angles are congruent, then the equation are congruent.

Step 1: Set up equation

5x + 24 = 9x - 17

Step 2: Solve for x

  1. 24 = 4x - 17
  2. 41 = 4x
  3. x = 41/4
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