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2 years ago

1. What is the value of 6!?

Mathematics

1 answer:

nata0808 [166]2 years ago

4 0

6! is the factorial of 6, or 6*5*4*3*2*1.. it equals 720

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How much must be added to each of the three numbers 1, 11, and 23 so that together they form a geometric progression?

Sliva [168]

Answer:

Step-by-step explanation:

Let x be unknown number which should be added to numbers 1, 11, 23 to get geometric progression. Then numbers 1 + x, 11 + x, 23 + x are first three terms of geometric progression.

Hence,

$b_1=1+x\\ \\b_2=11+x\\ \\b_3=23+x$

and

$b_2=b_1\cdot q\Rightarrow 11+x=(1+x)q\\ \\b_3=b_2\cdot q\Rightarrow 23+x=(11+x)q$

Express q:

$q=\dfrac{11+x}{1+x}=\dfrac{23+x}{11+x}$

Solve this equation. Cross multiply:

$(11+x)^2=(1+x)(23+x)\\ \\121+22x+x^2=23+x+23x+x^2\\ \\121+22x=23+24x\\ \\22x-24x=23-121\\ \\-2x=-98\\ \\2x=98\\ \\x=49$

5 0

2 years ago

Analyze the graph of the cube root function shown

Greeley [361]

The values of a, h, and k in the general equation is h=1, k=4 and a=2

<h3>What is parent function?</h3>

The function which can be transformed into different ways is the parent function.

On a coordinate plane, a cubic function approaches the x-axis in quadrant 2, crosses the y-axis at (0, 2), has an inflection point at (1, 4), and the goes through (2, 6).

The given function is

y =a³ √(x -h) + k

Put the coordinate (0,2) in the equation, we get

2 = a³ √(0 -h) + k..................(1)

Plug (1, 4), we have

4 = a³ √(1 -h) + k..................(2)

Plug (2, 6), we have

6 = a³ √(2 -h) + k..................(3)

On solving these three equations, we have

h=1

k=4

a=2

Thus, value of h is 1, k is 4 and a is 2.

Learn more about parent function

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7 0

1 year ago

Each week, Stephanie is paid a $180 base salary and a 3% commission on her total sales generated for the week. Which expression

prisoha [69]

The expression that represents her weekly income is:
180 + 0.03w

8 0

1 year ago

What is 624 divide by 27

mihalych1998 [28]

624/27

first you have to know what number that can be subtracted by 62

1. do 27 times 2 equal 54 then you subtract 62 by 54 equal 8 then you put 84 together that will 84 then multiply 27 times 3 = 81 then subtracted by 84

84-81 equal 3

In the calculator the answer is 23.1111111111

3 0

2 years ago

jim had 20 to spend at the video rental he has a late fee of 4.00 and it will cost him 2.99 to rent each movie not including tax

Anastasy [175]

Answer:

2.99m-4 (less than or equal to symbol after) 20

Step-by-step explanation:

This would come out too 5 movies because 20-4= 16 16-2.99=5.3 but it is impossible to buy 5.3 movies so you would round it down to 5

8 0

2 years ago