At a benefit concert, fourteen bands have volunteered to perform but there is only enough time for six of the bands to play. How many lineups are possible?

Answers

Answer 1
Answer: There are 2,162,160 possible combination that could be made if there are 14 bands and only 6 slots available. This is computed using factorial. By using factorial we first need to identify the number of band and the number of slots available. It could be express as 14! - 8! or 14 x 13 x 12 x 11 x 10 x 9, which is equal to 2,162,160 combination.

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Use the diagram to find the value of x

Add 3/7 + 4/5 please helppppp me

Answers

Answer: 43/35

Reasoning: You need the denominators to equal the same to add or subtract them

0.0052 scientific notation

Answers

To put a number into scientific notation, we multiply or divide the number by 10 over and over until we have a number between 1 and 10.  But we can't just change a number so we have to account for what we did by describing how many times we multiplied or divided with exponents.

Each time we multiply by 10 the decimal moves 1 place to the right.  Each time we divide by 10 the decimal moves 1 place to the left.  The exponent we use will describe the number of times we moved the decimal to the right or left.  The exponent will be positive or negative to describe the direction we need to move the decimal to represent our original number.

I know... that sounds confusing, but it's really easy!  Let's do yours...

0.0052

Now we need to move the decimal to get a number between 1 and 10.  So we move the decimal 3 places to the right to get 5.2

Now we have to describe how to get to the original number with the exponents.  We moved the decimal 3 places right so to get our number back we would have to move it back 3 places to the left so  negative exponent 3...  Here's how we represent it..

5.2 x 10^-3

So what that says is if we take 5.2 and divide it by 10 three times,we will get our original number.

Answer:

5.2 x 10^-3

Step-by-step explanation:

(Need ASP)Divide.


(4x3+2x+1)÷(x+1)



4x2−4x+6+5x+1


4x2+4x−6−5x+1


4x2−4x+6−5x+1


4x2+4x+6−5x+1

Answers

4x2+4x−6−5x+1 is the solution for (4x3+2x+1)÷(x+1)

What is Division?

A division is a process of splitting a specific amount into equal parts.

We need to solve,

(4x3+2x+1)÷(x+1)

We use Synthetic division,  Synthetic division is a shorthand method for dividing a polynomial by a linear factor such as x + 3, and it's much simpler and faster.

Step 1: Set up the synthetic division.

Step 2: Bring down the leading coefficient to the bottom row.

Step 3: Multiply  by the value just written on the bottom row.

Step 4: Add the column created in step 3.

We get 4x2+4x−6−5x+1.

To learn more on Division click:

brainly.com/question/21416852

#SPJ2

Answer:

Step-by-step explanation:

(4x^3+2x+1)÷(x+1)

Using synthetic division is

4x^2-4x+6- 5/x+1

What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 4x + y - 1 = 0?

Answers

Answer:  The required equation of the line is 4x+y=6.

Step-by-step explanation:  We are given to find the equation of the line that passes through (1, 2) and is parallel to the line whose equation is as follows:

4x+y-1=0~~~~~~~~~~~~~~~~~~~~~~~~~(i)

The slope-intercept form of the given line (i) is

4x+y-1=0\n\n\Rightarrow 4x+y=1\n\n\Rightarrow y=-4x+1,

where, slope of the line is, m = - 4.

Since parallel lines have equal slopes, so the slope of the new line that passes through the point (1, 2) is

m = - 4.

Therefore, the equation of the line will be

y-2=m(x-1)\n\n\Rightarrow y-2=-4(x-1)\n\n\Rightarrow y-2=-4x+4\n\n\Rightarrow 4x+y=6.

Thus, the required equation of the line is 4x+y=6.

y=-4x+6
or if you need it in the original format
4x+y-6=0

If f(x) = 2x3 – 2, what is the value of f(2)?

Answers

Answer:

f(2) = 14

Step-by-step explanation:

Step 1: Define

f(x) = 2x³ - 2

f(2) = x = 2

Step 2: Substitute and evaluate

f(2) = 2(2)³ - 2

f(2) = 2(8) - 2

f(2) = 16 - 2

f(2) = 14

On the last day of a Shakespeare class, an English teacher asked her students which play they liked most. Out of the 20 students who have submitted responses so far, 10 liked Romeo and Juliet best. Considering this data, how many of the next 12 students to respond should you expect to prefer Romeo and Juliet??I don't get it can someone pls explain ​

Answers

Answer: 6

Step-by-step explanation:

if 10 out of the 20 liked r&j the most. half of those 20 liked it the most, so, based on that, the out of the next group of students (12 here) half of them you should expect to answer with r&j being there favorite