How do you do this and is this correct

Using the combination formula, it is found that 4845 combinations of four students are possible.

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, four students are taken from a set of 20, hence the number of combinations is given by:

[tex]C_{20,4} = \frac{20!}{4!16!} = 4845[/tex]

More can be learned about the combination formula at https://brainly.com/question/25821700

#SPJ1

Answer:

y=1250000

Step-by-step explanation:

Multiply 200000 by 1.25.

y = 250000 ⋅5

Multiply 250000 by 5.

y=1250000

Answer:

Step-by-step explanation:

ijaciiudui uchi icbdicj

Answer:

B

Step-by-step explanation:

Volume of a triangular pyramid = [tex]\frac{1}{3} bh[/tex]

where b = area of base and h = height

We are already given that the height is 17in

All we need to do is find the area of the base.

The base is a triangle with a base length of 12 in and a height of 10 in

To find the area of a triangle we multiply the base length by the height then divide by 2

so area = (12 * 10 ) / 2

12 * 10 = 120

120 / 2 = 60

Hence the area of the base is 60in²

Now we plug in the values into the formula for volume of a pyramid

[tex]V=\frac{1}{3} 60*17\\\frac{1}{3} 60=20\\20*17=340[/tex]

V = 340

Hence the answer is B

Answer:

14a+22b

Step-by-step explanation:

4(2a+4b) + 3(2a+2b)

Distribute the 4

8a+16b + 3(2a+2b)

Distribute the 3

8a+16b+6a+6b

Combine like terms

14a+22b

Answer:

14a + 22b

Step-by-step explanation:

First, we need to expand:

4(2a) + 4(4b) + 3(2a) + 3(2b)

Now, we can continue and solve

8a + 16b + 6a + 6b

We can simplify

8a + 6a + 16b + 6b

14a + 22b

The answer is 14a + 22b because we don't know the values of a or b, so we cannot solve anymore.

Happy learning!

Answer:

2142

Step-by-step explanation:

Answer:

28 km

Step-by-step explanation:

Answer:

Laura needs to try 36 more times before the lock is sure to open.

Step-by-step explanation:

Alright, with a three digit lock, there are 9 possible numbers for each digit:

1, 2, 3, 4, 5, 6, 7, 8, and 9.

Since the first one is 3, lets move onto the second digit, which is prime.

Of the numbers between 1-9,

2, 3, 5, and 7 are prime.

With the last digit, it can be any number 1-9.

With all of this, there are 4 combos left for the second digit then 9 combos for the third digit. Therefore, there would be 36 possible combinations as 4 * 9 =36.

Answer:

take 20 degree as reference angle

let hypotenuse be x

using cos rule

cos 20=adjacent/hypotenuse

0.93=7/x

0.93*x=7

x=7/0.93

x=7.5

Step-by-step explanation:

Answer:

A. y = -3/2x + 9

Step-by-step explanation:

In slope intercept form (y = mx + b), b represents the y-intercept. Therefore, simply look on the graph where the line intersects with the y-axis. In this case, that is all that was needed since we can clearly see that equation A is the only one with a y-intercept of 9.

Answer:

a

Step-by-step explanation:

any two points on the line are

(0,9 ) and (4,3)

slope=(3-9)/(4-0)=-6/4=-3/2

y intercept is 9

so eq. of line is y=-3/2x+9

Answer:

Step-by-step explanation:

You have the right answer

========================================================

Work Shown:

p = number of items sold

855 = cost per item

855p = total revenue = total amount of money earned

6780 = total expenses

profit = revenue - expenses = 855p - 6780

profit = 855p - 6780

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

Now plug in p = 250

profit = 855p - 6780

profit = 855*250 - 6780

profit = 213,750 - 6,780

profit = 206,970 dollars

This is the profit the company makes in one month if p = 250 items are sold.

The CEO earns 15% of this profit, so,

15% of 206,970 = 0.15*(206,970) = 31,045.50

The CEO earns $31,045.50

Answer:

set them equal to eachother, i gotta look at my notes tho

Step-by-step explanation:

I think it's like this

3x-26=2x+24

We simpilfy the equation to the form which is simple to understand.

3x-26=2x+24

We move allterms containing X to the left and all others terms to the right

+3x-2x=+24+26

We simplfiy left and right sideof the eqution.

+1x=+50

We divide both sides of the equation by 1 to get x.

x=50

Answer:

Step-by-step explanation:

Use Newton's Law of Cooling here:

[tex]T(t)=T_s+(T_0-T_s)^{-kt[/tex]

where T(t) is the temp of something after a certain amount of time, t, has gone by; Ts is the surrounding temp, and T0 is the initial temp. k is the constant of cooling. We need to first solve for this using the information given. Filling in what we know:

[tex]53=35+(73-35)^{-35k[/tex] which can simplify a bit to

[tex]53=35+(38)^{-35k[/tex] and [tex]18=38^{-35k[/tex]

Take the natural log of both sides:

[tex]ln(18)=ln(38)^{-35k[/tex]

Taking the natural log allows us to pull that exponent down out front:

[tex]ln(18)=-35k*ln(38)[/tex]

and now we can divide both sides by ln(38) to get

-35k = .794585 so

k = -.023

Now that have the value for k, we can go on to solve the rest of the problem which is asking us the temp of the soda after 70 minutes. Filling in using the k value and the new time of 70 minutes:

[tex]T(t)=35+(38)^{70(-.023)[/tex] and

[tex]T(t)=35+(38)^{-1.61[/tex] and

[tex]T(t)=35+.0028612013[/tex] and

T(t) = 35 F, basically the temp of the fridge, which is not surprising!

Answer:

(-2, 20)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = -7x + 6

y = -10x

Step 2: Solve for x

Substitution

Step 3: Solve for y

Answer:

Landing on Blue: Likely

Landing on Green: Impossible

Landing on Yellow: Unlikely

Step-by-step explanation:

Blue: 50% chance

Green: 0% chance

Yellow: 12.5% chance

Answer:

So blue is 4/8 which should be as likely as not then red is 3/8 could be unlikely since it is 38 percent. then yellow is for sure unlikely since it is just 1/8

Answer:

2x+27+x+27=180

3x+54=180

3x=180-54

x=126/3

x=42

angle B=x+27

=42+27

=69 degree

Step-by-step explanation:

Answer:

B=69

Step-by-step explanation:

Supplementary angles have a sum of 180. Set up your formula as

180=(2x+27)+(x+27)

180=2x+27+x+27

180-27-27=3x

126=3x

126/3=x

42=x

Now substitute 42 in place of x for Angle B

Angle B = x+27

B = 42+27

B=69

Check your work by doing the same for Angle A

Angle A = (2x+27)

A=2*42+27

A=84+27

A=111

Now add both together and if you did it right, your answer is 180

69+111 = 180

Answer: the answer is 19

Step-by-step explanation:

Answer: The answer is b

Step-by-step explanation:

Length is a non-negative quantity. The correct statement for solution of the equation representing length of the table is given by: Option B: B. No; One of the solutions is negative. You cannot use negative values for a length of a table

The solution to this equation means values of variable x for which the function p(x) evaluates to 0.

For the given condition, we're given that:

The solution to the equation [tex](x + 1)(2x-3) = 0[/tex] (the question needs to include the 0 on right or some constant at least) will give the length of the table.

Since we know that

[tex]A \times B \implies A = 0\: \rm or\: B = 0[/tex] or both.

Thus, from [tex](x + 1)(2x-3) = 0[/tex], we get:

[tex](x + 1) = 0[/tex] or [tex](2x-3) = 0[/tex]

From the first equation, we get:

[tex](x + 1) = 0\\x = -1[/tex]

From the second equation, we get:

[tex](2x-3) = 0\\x = \dfrac{3}{2} = 1.5[/tex]

x represents the solution of the considered equation, thus, representing length of the table, as stated in the problem. Know that length can be 0 or positive, but cannot be negative. Thus, the first solution is not valid as it gives negative value for the length of the table.

Therefore, the correct statement for solution of the equation representing length of the table is given by: Option B: B. No; One of the solutions is negative. You cannot use negative values for a length of a table

Learn more about solutions of quadratic equations here:

https://brainly.com/question/3358603

Answer:ADE

Step-by-step explanation:

Answer:

38.465

Step-by-step explanation:

Area of circle =

[tex]\pi \: r {}^{2} [/tex]

diameter= 7

radius is half of the diameter

Radius =7÷2 = 3.5

Area = 3.14 × 3.5 × 3.5

= 38.465 inch squared

Answer: 7

Step-by-step explanation:

▬▬▬▬▬▬▬▬▬▬▬▬▬

→ Base = 15m

→ Height = 6m

→ Sides = 9m

→ Perimeter of the triangle

→ Perimeter of triangle = Sum of all sides

= a + b + c

= 15 + 9 + 9

= 33 m

▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer:

h = [tex]\sqrt{55}[/tex] in

Step-by-step explanation:

A right triangle is formed by h, slant height and radius

Here the legs are h and 6 ÷ 2 = 3, hypotenuse is 8

Using Pythagoras' identity in the right triangle

h² + 3² = 8²

h² + 9 = 64 ( subtract 9 from both sides )

h² = 55 ( take the square root of both sides )

h = [tex]\sqrt{55}[/tex] in

Answer:

Step-by-step explanation:

Answer:

a)

Domain : All Real Numbers

Range : All Real Numbers

b)

Domain : All Real Numbers

Range : y[tex]\geq[/tex]0

Here is what I answered with, I'm not 100% sure it is correct.

Part A:

The maximum height of the toy rocket would be 145.

Part B:

After 3 seconds the toy will reach its maximum height.

Part C:

The toy rocket flew higher the first time, the maximum height of the rocket the 1st time 145, the second time however the maximum height was only 103.

I hope this helps <3<3

Answer:

A) 2 cm

Step-by-step explanation:

The sum of two sides of a triangle must be greater than the third side

2 + 3 is not greater than 5

Answer:

D. 1256 cm

Step-by-step explanation:

Divide the diameter by 2 to get the radius so 400/2 = 200

C = 2 π r = 2 · π · 200 = 1256.637

me too but i think the answer would be F.

Answer:

7 days

Step-by-step explanation:

So! Ms. Masi earns $11.25 everyday, and is paying her brother back everyday. Let's make an equation to solve for the number of days!

11.25d = 72 (d = # of days)

Now, we have to solve this equation to see how many days (d) it will take Ms. Masi to pay her brother back.

11.25d = 72

÷11.25   ÷11.25 (Divide by "11.25" to get the variable by itself)

d = 6.4

Since, she only gets 1 pay per day, Ms. Masi will have to wait til her 7th day to pay her brother back.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:10 songs on repeat

Answer:

Same 5 movies bcuz the movies will also have music

Step-by-step explanation:

Answer:

Step-by-step explanation:

So, the point of this is to make x the only thing on one side, so we can see what x is!

Okay so first subtract 8 on both sides...

5x= 25

Now we need to divide on both sides!

That equals...

x=5

So now we know that x=5!

Hope this helped!! :D

If you have any questions whatsover, make sure to comment!