A local college is forming a six-member research committee with one administrator, three faculty members, and two students. There are seven administrators, faculty members, and students in contention for the committee. How many six-member committees are possible

3x - 2y = 8 +

===》 46x = 16

43x + 2y = 8

x = 16/46

x = 8/23

______________________________

3x - 2y = 8

3(8/23) - 2y = 8

24/23 - 2y = 8

2y = 24/23 - 8

y = 12/23 - 4

y = 12/23 - 92/23

y = - 80/23

Answer:

jjjokiioololll.hgyuhhkopohjo

Answer:

a) M(-1, 4.5)

b) 10.63

c) 7/8

Step-by-step explanation:

a)

x = (3 + (-5))/2 = -1

y = (8 + 1)/2 = 4.5

M(-1, 4.5)

b) d = sqrt[(x1-x2)^2 + (y1-y2)^2] = sqrt(113) = 10.63

c) m = (y2-y1)/(x2-x1) = 7/8

Add 150 to what he has in his account, then subtract the cost to fix the furnace.

400.56 + 150 = 550.56

550.56 - 450.50 = 100.06

He will have $100.06 in his account.

Answer:

2 1/3 planes

Step-by-step explanation:

3.5 lego planes / 60 minutes

So fraction =

3.5/60

In 40 minutes he will build x planes

So the fraction equation is:

3.5/60 = x/40

Solve:

Cross multiply =

140 = 60x

x = 2 1/3

2 1/3 planes

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Answer:

18m i thnk

Step-by-step explanation:

Answer:

Oasis idiot and a good time in the day before

Answer:

I believe this answer would be m<C = 86.5 degrees

Answer:

wnnsnsmamamamamas

Step-by-step explanation:

jsmallaam By sna

Answer:

I hope you understand what I wrote

Answer:

A . a = 3/5

Step-by-step explanation:

- 2/5 + a = 1/5

Add 2/5 to each side

-2/5 + a + 2/5 = 1/5 + 2/5

a = 3/5

Therefore a = 3/5

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Answer:

13) 142° (intercepted arc is twice the inscribed angle)

14) 23° (inscribed angles is half of the intercepted arc)

15) Since RT is a diameter and arcRS = 46°, then arcST = 180° - 46 = 134°

16) Using the result of #13, arcRQ = 180° - 142° = 38°

9514 1404 393

Answer:

  4. height: 5√3 cm; area: 25√3 cm²

  5. 30√2 ft ≈ 42.43 ft

Step-by-step explanation:

4. The height of an equilateral triangle is (√3)/2 times the side length, so is ...

  height = (√3)/2 × (10 cm) = 5√3 cm

The area is given by the formula ...

  A = 1/2bh

  A = 1/2(10 cm)(5√3 cm) = 25√3 cm²

__

5. The diagonal of a square is √2 times the side length, so the distance from 3rd to 1st base is ...

  (30 ft)√2 ≈ 42.43 ft

__

The length of the diagonal of a square is something you should be familiar with. If you're not, you can figure the distance using the Pythagorean theorem.

  d = √(30² +30²) = √1800 ≈ 42.43 . . . feet

Answer:

Maybe I think it is 4/11............

Answer:

The quotient rule means dividing

Step-by-step explanation:

"The quotient rule says that if we have exponents with the same base being divided, we can just subtract the exponents. Ultimately this is about dividing exponential expressions."

Answer:

Your answer would be 1 x10^6.

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the.

The sign of the exponent will depend on the direction you are moving the decimal.

Hope that makes sense.

Step-by-step explanation:

11x-3=8x+15( inscribed angle on same arc are equal)

11x-8x=15+3

2x=18

x=9

now, angle ABD

measure of arc AD= 96/2 arc is half of inscribed angle)

The measure of the arc of the circle AD = ( 0.7 )πr

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

Let the measure of the angle subtended by the arc be

The measure of ∠ABD = ( 11x - 3 )°

The measure of ∠ACD = ( 8x + 15 )°

And , the angle subtended by the same arc are same

So , ( 11x - 3 )° = ( 8x + 15 )°

On simplifying , we get

3x = 18

Divide by 3 on both sides , we get

x = 6

So , the measure of ∠ABD = 63°

Now , the measure of central angle = 2 x 63° = 126°

And , the length of the arc s = ( 0.35 ) x 2πr

Hence , the measure of arc AD = ( 0.7 )πr

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Answer(s):

[tex]\displaystyle y = 4sin\:(x + \frac{\pi}{2}) - 1 \\ y = 4cos\:x - 1[/tex]

Explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 4[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 4[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 4sin\:x - 1,[/tex] in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex] to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACK [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex] which means the C-term will be negative, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.[/tex] So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 4sin\:(x + \frac{\pi}{2}) - 1.[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [0, 3],[/tex] from there to [tex]\displaystyle [2\pi, 3],[/tex] they are obviously [tex]\displaystyle 2\pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle 2\pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -1,[/tex] in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts horisontally, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

x² + (y + 8)² = 49

Step-by-step explanation:

You didn't ask a question

Did you want the equation for the circle?

--------------------------

Standard form is

(x - h)² + (y - k)² = r²

using (h, k) = (0, -8)

x² + (y + 8)² = r²

use the area to find r²

a = πr²

49π = πr²

Divide both sides by π

49 = r²

Now the equation can be completed

x² + (y + 8)² = 49

Answer:

D. 2.25

Step-by-step explanation:

[tex] \frac{3}{8} = \frac{x}{6} \\ x = \frac{3 \times 6}{8} = 2.25[/tex]

Answer:

180

Step-by-step explanation:

[tex] sa = 2( \frac{1}{2} )(6)(4) + 10(5 + 5 + 6)[/tex]

[tex] = 24 + 10(16)[/tex]

= [tex]24 + 160[/tex]

[tex]180[/tex]

..................

hope it helps...

have a great day! ! !

Answer: total surface area would be 28.3310501 cm2 or 28.3 cm2 rounded to the nearest tenth

Answer:

the maximum is (5,2)

y-int (0,-23)

Given:

Three different integer addition expressions equal −5.

To find:

The three different integer addition expressions.

Solution:

We know that 0 is the identity element under addition. It means if we add 0 to a number we get the same number.

[tex](-5)+0=-5[/tex]

One expression is [tex](-5)+0[/tex].

The other expression are:

[tex](-6)+1=-5[/tex]

[tex](-7)+2=-5[/tex]

Therefore, the three different integer addition expressions that are equal to -5 are [tex](-5)+0,(-6)+1,(-7)+2[/tex].

Answer:

Jaya can afford to rent a car 4 days while staying within her budget.

Step-by-step explanation:

The inequality would have to indicate that the cost of renting a car has to be less than or equal to $230. The cost to rent a car is equal to the cost per day for the number of days plus the price per mile for the number of miles, which is:

53.75x+0.12y≤230, where:

x is the number of days the car is rented

y is the number of miles driven

As the statement says that she plans to drive 125 miles, you can replace "y" with this value and solve for x:

53.75x+0.12(125)≤230

53.75x+15≤230

53.75x≤230-15

53.75x≤215

x≤215/53.75

x≤4

According to this, the answer is that Jaya can afford to rent a car 4 days while staying within her budget.

Answer:

1 1/2 mile or 6/4 mile

Step-by-step explanation:

Every half hour he rides 3/4

Just multiply 3/4 by 2 which equals 6/4 or 1 1/2

Answer:

Ur Answer is 5 one CORRIDOR

The number of unique permutations of the letters CORRIDOR is 3360

The number of unique permutations of the letters NUMBER is 720

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters. Common mathematical problems involve choosing only several items from a set of items in a certain order.

[tex]\frac{n!}{mA!mB!......mZ!}[/tex]

In the given word

CORRIDOR

There are 7 letters in which "O" repeats 2 times and "R" repeats 3 times.

Then n = 7 , A = 2 and B = 3

Put values in above formula

Then,

=  [tex]\frac{7!}{2!3!}[/tex]

= [tex]\frac{7\times6\times5\times4\times3\times2\times1}{2\times3\times2}[/tex]

= 3360

Similarly

NUMBER

There are 6 letters in which no letter repeats

means A = B = .......= Z = 1

Put values in above equation

= [tex]6![/tex]

= 720

Hence,

The number of unique permutations of the letters CORRIDOR is 3360.

The number of unique permutations of the letters NUMBER is 720.

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