How do you work out 3^2+2^3 indices

Answer:

28,828,800

Step-by-step explanation:

There are 72,072 ways of choosing different councils consisting of 5 freshmen and 7 sophomores

A permutation is an arrangement of things where order matters, AB and BA are two different permutations.

The combination is a selection of things where order does not matter, AB and BA are the same combinations.

Given, A pool of possible candidates for a student council consisting of 14 freshmen and 9 sophomores.

∴ 5 freshmen out of 14 freshmen can be chosen in [tex]^{14}C_5[/tex] ways and 7 sophomores can be chosen out of 9 sophomores in [tex]^{9}C_7[/tex] ways.

So,  The no. of different councils consisting of 5 freshmen and 7 sophomores are possible is,

= [tex]^{14}C_5\times^{9}C_7[/tex] ways.

= 14!/(14 - 5)!×5! × 9!/(9 - 7)!×7! ways.

= 14×13×12×11×10/120 × 9×8/2 ways.

= 2002× 36 ways.

= 72,072.

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Answer:

Step-by-step explanation:

Substitute the given value into the function and evaluate.

5 ⋅ 10 ^2 = 500

5 ⋅ 10^ − 2 = 0.05

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Answer: 0.125

Step-by-step explanation:

Answer:

0.125

1/8

= 0.125

= 12.5%

Answer:

17,19,21

Step-by-step explanation:

Let x be the smallest integer

x+x+2+x+4=57

3x+6=57

3x=57-6

3x=51

x=51/3

x=17

17,19,21

Answer:

x 1.12

Step-by-step explanation:

Total meal plus 12% tip in one step.

12% as a fraction is .12

Multiply the cost of the meal by 1.12 To get the total cost including tip.

x 1.12

Answer:

the answer on plato is x^2+3=500

Answer:

68%

Step-by-step explanation:

Answer:

Sally's soccer team won 68% of the games they played.

Answer:

18

Step-by-step explanation:

w varies directly with z, let k be the constant of proportionality, hence this can be represented by the equation:

w = kz

When z = 4, w = 12, hence we need to find the value of the constant of proportionality, substituting:

12 = 4k

Dividing both sides by 4:

12/4 = 4k/4

k = 3

Therefore the equation becomes:

w = 3z

The value of w when z = 6 is given as:

w = 3(6)

w = 18

Answer:

hi Krystal , I am Felicia

Answer:

-1/4x + 1 ( If this is wrong then ignore this)

Step-by-step explanation:

The formula for a problem like this is y - y1 = m(x - x1). The x coordinate, -8 is the x1 and the y coordinate 3 is x1. So the equation is y - 3 = -1/4(x + 8)

Equation:

y - 3 = -1/4(x + 8)

y - 3= -1/4x - 2

y = -1/4x + 1

Therefore the equation for the line is y = -1/4x + 1

Given parameters:

 Slope of the line  = [tex]-\frac{1}{4}[/tex]

 Coordinates of the points = (-8, 3)

Unknown:

Equation of the line = ?

Solution:

To find the equation of the line, we must note that any straight line can be represented by the equation;

        y  = mx + c

 where x and y are the coordinates

             m is the slope

              c is the y-intercept of the line

Input the parameters and solve for c;

     x = -8 and y  = 3;

         3  = [tex]-\frac{1}{4}[/tex] x (-8) + c

         3 = 2 + c

        c  = 1;

  So the equation of the line is ;

     y  = [tex]-\frac{1}{4}[/tex]x + 1

     multiply through by 4;

   4y = -x + 4

The equation of the line is 4y = -x + 4

Answer:

The answer is A, D, and E. The first answer and then the last two.

Step-by-step explanation:

The first answer and then the last two.

To determine whether they used the same number of tiles, set the two expressions equal to each other and solve for x. Is there a solution for x? Why or why not? If there is a solution, what is it?

5x +2 = 5x + 5 (subtract 5x and 2 on both sides)

0 = 3 No solution

How could you change the equation so it has infinitely many solutions?

Have 2 or 5 change because they need to be equal to each other. Its fine what you put as long as the equal sign is the same as the other side like 3 = 3 for example or 5 = 5, something like that. Once they have the same end then you can substitute the number to x.

What would infinitely many solutions mean in terms of the situation?

x represents the number of tiles they used

Answer:

Check description

Step-by-step explanation:

First: work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100. If your answer is a negative number, then this is a percentage decrease.

Answer:

 s=5 1/4

Step-by-step explanation:

Have a wonderful day

Answer:

15/16

Ste

Step-by-step explanation:

Keep, Change, Flip.

(1) Keep the first fraction, 3/8.

(2) Change the sign from a division sign to a multiplication sign.

(3) Flip the last fraction, 2/5 --> 5/2.

(4) Multiply across.

3/8 x 5/2= 15/16

The 3/8 divided by 2/5 is equal to 15/16.

To divide fractions, multiply the first fraction by the reciprocal of the second fraction.

To divide 3/8 by 2/5:

(3/8) ÷ (2/5) = (3/8) × (5/2)

Now, let's multiply the numerators and denominators:

(3 × 5) / (8 × 2) = 15/16

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I think thats 2

Because 2+2=4

Step-by-step explanation:

Let's solve your equation step-by-step.

−5(x+7)=−5x+35

Step 1: Simplify both sides of the equation.

−5(x+7)=−5x+35

(−5)(x)+(−5)(7)=−5x+35(Distribute)

−5x+−35=−5x+35

−5x−35=−5x+35

Step 2: Add 5x to both sides.

−5x−35+5x=−5x+35+5x

−35=35

Step 3: Add 35 to both sides.

−35+35=35+35

0=70

Answer:

There are no solutions.

Answer:

x= no solution

Step-by-step explanation:

-5(x+7)=-5x+35

-5x-35=-5x+35

+5x       +5x

-35= 35

+35 +35

0=70

x=no solution

When x doesn't equal anything, and 0 doesn't equal 0, there is no solution to make the equation true. When 0=0, x can equal any value.

Answer:

one solution because you combine like terms and your answer is p=4

Answer: C = 30 - 3t

Step-by-step explanation: he starts with 30 therefore having 30 on day 0 and he eats 3 daily so day 1 would be 27 day 2 24 and so on

Step-by-step explanation:

Make sure all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Answer:

1>2x

Step-by-step explanation:

1>2x

1/2= one half

2x/2= x

one half>x

Answer:

1) B

2) A

Step-by-step explanation:

B because we use pemdes and for 2 they answers are both equivalent

Answer:

1) B. Add/subtract the same quantity to/from both sides

2) Yes

Step-by-step explanation:

To answer Part B, we have to answer to equation.

Step 1- Add x to both sides of the equation.

4x+2= 6-x

+x         +x

5x+2= 6

Step 2- Subtract 2 to both sides of the equation.

5x+2= 6

   -2   -2

5x= 4

Step 3- Divide 5 to both sides of the equation.

5x= 4

5    5

This gives us 4/5 or 0.80.

So, the answer is yes to Part B.

Hope this helps!

Answer:1

Step-by-step explanation:

I found the factors and prime factorization of 38 and 49. The biggest common factor number is the GCF number. So the greatest common factor 38 and 49 is 1

Answer: The greatest common factor is 1

Step-by-step explanation:

49 is not even like 38 so the only one they have together in 1.

Since we are solving for b, you need to get it by itself. So you would divide both sides by 3a. That would leave b= -7/3a.

Hope this helps!!

Answer:

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe

rt

P=7500\hspace{35px}r=0.015\hspace{35px}t=8

P=7500r=0.015t=8

Given values

A=7500e^{0.015(8)}

A=7500e

0.015(8)

Plug in

A=7500e^{0.12}

A=7500e

0.12

Multiply

A=8456.22638685

A=8456.22638685

Use calculator (with e button)

A\approx 8500

A≈8500

Round to nearest hundred dollars

Step-by-step explanation:

The amount of money to the nearest hundred dollars that would be in the account after 8 years is  $60,900.

The formula for calculating future value when there is continuous compounding is : A x e^r x N

Where:

7500 x e^0.015 x 8 = $60,900

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Answer:

B.

Step-by-step explanation:

3(4x-2)-30=-6(6-2x)-20

12x-6-30=-36+12x-20

12x-36=12x-56