A club with 26 members is to select five officers (president, vice president, secretary, treasurer, and historian). In how many ways can this be done?

Check the picture below.

Bearing in mind that the angle is not changing all the wihle, namely is constant

[tex]tan(32^o)=\cfrac{y}{x}\implies x = \cfrac{y}{tan(32^o)}\implies x = \cfrac{1}{tan(32^o)}y \\\\\\ \stackrel{\textit{taking the derivative on bot sides}}{\cfrac{dx}{dt}=\cfrac{1}{tan(32^o)}\cfrac{dy}{dt}}\implies \cfrac{dx}{dt}=\cfrac{1}{tan(32^o)}200\implies \cfrac{dx}{dt}\approx 320.07~\frac{km}{hr}[/tex]

Answer:

  -3, 1

Step-by-step explanation:

The vertical scale of the graph is f(x). So, f(x) = 0 is the x-axis. Where the graph crosses the x-axis, the value of f(x) is 0.

The x-axis is labeled on alternate lines. Those labels are sufficient to tell you that each grid line represents one unit. The curve intersects the x-axis 3 units to the left of the vertical axis, at x = -3, at 1 unit to the right of the vertical axis, at x = 1.

The values of x where f(x) = 0 are -3 and 1.

Answer:

⸻⸻⸻⸻⸻

Solving

2X + 3Y = 5.5

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Simplifying

2X + 3Y = 5.5

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Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

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Add -3y to each side of the equation.

2x + 3y + -3y = 5.5 + -3y

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Combine terms: 3y + -3y = 0.

2x + 0 = 5.5 + -3y

2x = 5.5 + -3y

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Divide each side by 2.

x = 2.75 + -1.5y

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Simplifying.

x = 2.75 + -1.5y

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Answer:

Step-by-step explanation:

How do you find the answer for 30=6x+20?

30 = 6x + 20

10 = 6x

x = 10/6

5/4

------------------ check

30 = 6 * 10/6 + 20

30 = 10 + 20

30 = 30

the answer is good

Answer:

[tex]\frac{12}{23} + (9 \frac{6}{8} - 3 \frac{1}{4})[/tex]

Exact Form:

[tex]\frac{323}{46}[/tex]

Decimal Form:

7.02173913  

Mixed Number Form:

7 [tex]\frac{1}{46}[/tex]

Step-by-step explanation:

Answer:

116

Step-by-step explanation:

this is the correct answer

Answer:

6720.

1680.

Step-by-step explanation:

There are 3 T's and 5 other distinct letters in this word s

The number of arrangements

= 8! / 3!

= 8*7*6*5*4

= 6720 ways.

If N and G are next to each other  we consider it to be 1 letter. Now we can have GN or NG so the answer is

(7!/3!) * 2

= 1680 ways.

Answer:

The length of the other leg is [tex]4\sqrt{3}[/tex]

Step-by-step explanation:

There are 2 ways to solve this.

1) Pythagorean theorem (the harder way)

A 30-60-90 triangle is a right triangle, and therefore you can use the pythagorean theorem to calculate the measure of 1 side given the 2 others.

[tex]a^2+b^2=c^2\\a^2+4^2=8^2\\a^2+16=64\\a^2=48\\a=\sqrt{48}\\a=6.9282...[/tex]

That's one solution, but its not a very nice number or the exact answer you probably want. Instead, you can simplify the root.

First, you need to factor 48:

[tex]2*24=48\\2*12=24\\2*6=12\\2*3=6[/tex]

The prime factors of 48 are:

[tex]2*2*2*2*3=48[/tex]

Then, you need to find perfect squares:

[tex](2*2)*(2*2)*3=48\\2^2*2^2*3=48[/tex]

And finally, you can remove those like this:

[tex]\sqrt{48} =\sqrt{2^2*2^2*3} \\\sqrt{48} =2\sqrt{2^2*3} \\\sqrt{48} =2*2\sqrt{3} \\\sqrt{48} =4\sqrt{3}[/tex]

The length of the other leg is [tex]4\sqrt{3}[/tex]

2) 30-60-90 triangle relationships (the easier way)

There are 4 simple rules here:

They're actually pretty easy to remember. You can multiply the short leg by 2 or √3, and 2 is greater than √3 (check a calculator). The hypotenuse of course is also longer than the long leg, so you have to multiply by 2 to get it. Then for the long leg, the only option is to multiply by √3. The same works in reverse for both of those.

Here, we have the short leg. You can check that with the pythagorean theorem again to be sure:

[tex]a^2+4^2=8^2\\a^2+16=64[/tex]

Because 16 is less than half of 64, a has to be the longer leg. Using the rules above, multiply the short leg by √3 to get the answer:

[tex]4 * \sqrt{3} \\4\sqrt{3}[/tex]

Same answer as the previous method.

5% error

Step-by-step explanation:

% error = (estimation - actual value)/actual value * 100%

Trayvon's estimation is 63 and the actual value is 60, so our expression is:

(63 - 60)/60 * 100

63 - 60 = 3, so we get:

3/60 * 100

And 3/60 = 0.05, so now we have:

0.05 * 100 = 5

The percent error of Trayvon’s guess is 5%

"It is the absolute difference between an observed value and the actual value."

"It is the ratio of the absolute error of the measurement to the actual value."

"It is the relative error multiplied by 100."

For given example.

Trayvon’s guess is 63 balls.

[tex]V_o=63[/tex]

The actual number of balls is 60.

[tex]V_A=60[/tex]

The absolute error is,

[tex]\Rightarrow A=|V_o-V_A|\\\\\Rightarrow A=|63-60|\\\\\Rightarrow A=3[/tex]

The relative error is,

[tex]\Rightarrow R=\frac{A}{V_A} \\\\\Rightarrow R=\frac{3}{60}\\\\ \Rightarrow R=0.05[/tex]

The percent error is,

[tex]\Rightarrow P=R\times 100\\\\\Rightarrow P=0.05\times 100\\\\\Rightarrow P=5\%[/tex]

Therefore, the percent error of Trayvon’s guess is 5%

Learn more about the percent error here:

https://brainly.com/question/3670306

#SPJ2

Answer:

The expanded form for 14.702 is

fourteen and seven hundred two thousandths

Answer: 15.6

Step-by-step explanation:

In 15.56, the digit in the tenths place is the second 5. 15.56. So look at the hundredths place (6). If the digit in the hundredths place is smaller than 5, round down. If it's 5 or more, round up. 6 > 5, so we round the tenths place up by one number to get 15.6.

9514 1404 393

Answer:

  B.  2/3

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

For points (x1, y1) = (-3, -7) and (x2, y2) = (9, 1), the slope is ...

  m = (1 -(-7))/(9 -(-3)) = 8/12 = 2/3

The slope of the line is 2/3.

3 7/8 + 6 5/8 =

9 12/8 = 10 4/8

10 4/8 = 10 1/2

The answer is 10 1/2

If you are not looking for a mixed fraction it should be..

21/2

Answer:

2 paisa per rupees per month

So rate= 2%

Answer:

https://brainly.com/question/25709302

Answer:

1. M

2. H

3. A

4. K

5. B

6. C

7. G

8. E

and so on

Step-by-step explanation:

definitions to know:

same side interior/exterior angles

vertical angles

alternate interior/exterior angles

corresponding angles

9514 1404 393

Answer:

  (x, y) = (1.25, 8.5)

Step-by-step explanation:

I choose to put these equations into reduced general form, then use the "cross multiplication method" to solve.

  2x -y +6 = 0

  10x -y -4 = 0

d1 = 2(-1) -10(-1) = 8

d2 = -1(-4) -(-1)(6) = 10

d3 = 6(10) -(-4)(2) = 68

Solutions are ...

  x = d2/d1 = 10/8 = 1.25

  y = d3/d1 = 68/8 = 8.5

The solution is (x, y) = (1.25, 8.5).

_____

Additional comment

I like a graphing calculator for a quick and easy solution. When the values are not integers, I like an algebraic solution to see what the exact values are.

__

The "cross multiplication method" is similar to Cramer's rule in that determinants of pairs of coefficients are computed. If you look up this method, videos will show you a variation that is slightly different. Here, we determined d1, d2, and d3 as the 2×2 determinant of the coefficients in adjacent columns of the array you get from the general form equations with the first column repeated:

  [tex]\begin{array}{cccc}2&-1&6&2\\10&-1&-4&10\end{array}[/tex]

In each pair, the determinant is the difference between the product of numbers on the down-diagonal and the product of numbers on the up-diagonal.

The determinants relate to the x- and y-values by ...

  1/d1 = x/d2 = y/d3   ⇒   x = d2/d1, y = d3/d1

There is a Vedic solution method for linear equations that is similar to this, but starts from equations in standard form. As a consequence, the cross-differences are done in a different order.

__

Standard form: ax +by = c

General form: ax +by +c = 0

Answer:

40% * 71 = Markup price

40% of 71 is 28.4, so i added the two together and got 99.4

so...

$28.4 + $71 = $99.40

Answer:

D. 24

Step-by-step explanation:

This can be rewritten as

-16 + -8

This is equal to -24

Answer:

D= -24

Step-by-step explanation:

coz I used the table method so I also found it's correct

Answer:

The answer is 31

Explanation:

25 - (-6) = 31

we have 25 - (-6) = 25 + 6 = 31

so the answer is D

ok done. thank to me :>

Answer: c.) 17 rounds to 20, 53 rounds to 50, and 20: 50 = 1.000 seats

Step-by-step explanation:

*5 or more, add one more. 4 or less, give it a rest (leave it alone)*

17 rounds to 20

(the 7 is used to boost the 1 to a 2 since its more than 5, making it 20)

53 rounds to 50

(the 3 is less than 4 so we leave the 5 as is, making it 50).

Therefore, 20x50 = 1000 seats or 20:50=1000

Answer: 1/2

Step-by-step explanation:

Slope is the number in front of x

Answer:

The slope of the line or m is represented by 1/2. x and y are coordinates on the line and -5 represents the y-intercept. The used for this equation is y = mx + b. M = slope and b is the y-intercept

Step-by-step explanation:

Hope I made sense to you.

Answer:

$199.89

Step-by-step explanation:

The bike costs 266.52

The parents are contributing one fourth of this (1/4)

We need to find 1/4th of 266.52

Divide 266.52 by 4 to find out how much Justin's parents are contributing to the bike

The answer is 66.63

Now subtract 66.63 from 266.52

Justin has to pay a total of 199.89

[tex]\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=7.2\\ b=6.7\\ c=4.5\\ s=\frac{7.2+6.7+4.5}{2}\\[0.5em] \qquad 9.2 \end{cases} \\\\\\ A\sqrt{9.2(9.2-7.2)(9.2-6.7)(9.2-4.5)}\implies A=\sqrt{9.2(2)(2.5)(4.7)} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 14.704~\hfill[/tex]

Answer:

The answer is C. 14.704

Step-by-step explanation: I just took the test

Answer: i dont know if this will be correct but, the 2 goes on the bottom count 5 up so you will get the first one done, bottom 3 and count up 8, bottom 4 and count up to 13, its the same for all of them.

Step-by-step explanation:

Answer:

Hello

Step-by-step explanation: