The greatest integer function and absolute value function are both examples of functions that can be defined as...

Geometric mean Pls help thank u

quester [9]

Answer:

Step-by-step explanation:

1). Geometric mean of a and b = $\sqrt{a\times b}$

Therefore, geometric mean of 2 and 50 = $\sqrt{2\times 50}$

= 10

2). By geometric mean theorem,

$\frac{JM}{KM}=\frac{KM}{ML}$

$\frac{6}{e}=\frac{e}{24}$

e² = 6 × 24

e = √144

e = 12

Similarly, $\frac{JL}{KJ}=\frac{KJ}{JM}$

$\frac{6+24}{d}=\frac{d}{6}$

d² = 6 × 30

d = √180

d = 6√5

And $\frac{JL}{KL}=\frac{KL}{ML}$

$\frac{6+24}{c}=\frac{c}{24}$

c² = 30 × 24

c = √720

c = 12√5

3 0

3 years ago

(1/27)^x-6=27 Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if logb (x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

Therefor, the answer is x = 7.

5 0

3 years ago

Georgia bought pears for $6.14. The price of pears is $1.10 per pound. How many pound of pears did she buy? (Round your answer t

yuradex [85]

Answer:

5.58

Step-by-step explanation:

7 0

3 years ago

The cost of renting a boat is $51 for 5 hours. Which of the following is not an equivalent rate? Give the letter of your answer

alexgriva [62]

B. Obviously all the numbers have to do with one and it’s 30. If it’s wrong let me know !

4 0

3 years ago

The perimeter of a rectangle is 54 feet. The area of the rectangle is 176 square feet. Find the dimensions of the rectangle.

Murrr4er [49]

11 by 16

Explanation:

Set up two equations

2

x

+

2

y

=

54

x

×

y

=

176

Solving the first equation for x

2

x

+

2

y

−

2

y

=

54

−

2

y

this gives

2

x

=

54

−

2

y

Divide both sides by 2

(

2

x

2

)

=

54

−

2

y

2

This gives.

x

=

27

−

y

putting this value into the second equation gives.

(

27

−

y

)

×

y

=

176

multiplying across the parenthesis gives

27

y

−

y

2

=

176

subtracting 176 from both sides gives

is

27

y

−

y

2

−

176

=

0

multiplying by negative one gives

−

27

y

+

y

2

+

176

=

0

factoring this into y gives

(

y

−

11

)

×

(

y

−

16

)

=

0

Solving for both y's gives

y

=

11

,

y

=

16

6 0

2 years ago