what is 14.005 as a fraction

Answer:

16/20

Step-by-step explanation:

Since this is a right triangle

sin theta = opp side / hypotenuse

sin theta = 16/20

Answer:

A.

[tex]{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ \\ { \tt{ \sin( \theta) = \frac{16}{20} }}[/tex]

Answer:

x = 6

Step-by-step explanation:

log2(x + 5) + log2(x − 5) = log2 11.

We know that loga (b) + log a(c) = log a( bc)

log2(x + 5) (x − 5) = log2(11)

Multiply

log2(x^2 -25) = log2(11)

Raise each side to the power of 2

2^log2(x^2 -25) = 2^log2(11)

x^2 - 25 = 11

Add 25

x^2 -25 +25 = 25+11

x^2 = 36

Taking the square root of each side

x = ±6

But x cannot be negative because then the log would be negative in log2(x-5) and that is not allowed

x = 6

Answer:

x = 6

Step-by-step explanation:

[tex] log_2[/tex] ( x + 5 ) + [tex] log_2[/tex]( ( x - 5 ) = [tex] log_2[/tex] 11

Determined the define range.

[tex] log_2[/tex] ( x + 5 ) + [tex] log_2[/tex]( ( x - 5 ) = [tex] log_2[/tex] (11), x ∈ ( 5, + ∞ )

We know that [tex] log_a ( b ) + log_a ( b ) [/tex] = [tex] log_a( bc) [/tex]

[tex] log_2[/tex] ( x + 5 ) ( x - 5 ) = [tex] log_2[/tex] ( 11).

[tex] log_2[/tex] ( ( x + 5 ) × ( x - 5 ) ) = [tex] log_2[/tex] ( 11).

Use indentity :- ( a + b ) ( a - b ) = a² - b².

[tex] log_2[/tex] ( x² + 25) = [tex] log_2[/tex] ( 11).

Since , the base of the logarithm are the same. set the arguments equal.

x² - 25 = 11.

Move constant to the right-hand side and change their sign.

x² = 11 + 25

x² = 36.

Take square root of each side.

√x² = √36

x = ± 6

x = 6

x = -6, x ∈ ( 5, + ∞ )

Check if the solutions is in determine range.

x = 6

Answer:

(6,1)

Step-by-step explanation:

Answer:

350.85

Step-by-step explanation:

90.6*2 = 181.2

27*2 = 54 (diameter)

54*pi = 169.646003294

169.646003294 + 181.2 = 350.846003294

350.846003294 = 350.85

Answer:

2/5=x

Step-by-step explanation:

-9=-10x-5

Add 5 to each side

-9+5=-10x-5+5

-4 = -10x

Divide by -10

-4/-10 = -10x/-10

2/5 =x

Answer:

0.4

Step-by-step explanation:

you take the -5 to the other side as positive and that is -4 = -10X and then you divide -4 by -10 and that is 0.4 hope that helps

Answer:

x is 4

Step-by-step explanation:

[tex]{ \bf{(x + 6) : x = 5 :2 }} \\ { \tt{ \frac{(x + 6)}{x} = \frac{5}{2} }} \\ \\ { \tt{5x = 2(x + 6)}} \\ { \tt{5x = 2x + 12}} \\ { \tt{3x = 12}} \\ { \tt{x = 4}}[/tex]

Answer: x = 4 :)

(x + 6): x= 5:2

x : x + 6 : x = 5 : 2

1 + 6:x = 2,5

6:x = 2,5 - 1

6:x =  1,5

x = 6: 1,5

x= 4

Have a nice day:)

Answer:

hope it helps

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

The roof is Rectangular :

Dimension of roof section : 7.2 m by 4.4 m

Area of roof = length * width

Area of roof = 7.2 * 4.4 = 31.68 m²

Dimension of solar panels = 1400 mm by 850 mm

Converting to m:

1000mm = 1 m

1400/1000 by 850/1000 = 1.4 m by 0.85 m

Area each solar panel = 1.4 * 0.85 = 1.19 m²

Gap left at each edge :

30cm gap about the 4 edges gives a square with side length 30cm:

30cm = 30/100 = 0.3m

Area of gap left = 0.3² = 0.09 m²

Total area that can be covered = (31.68 - 0.09) m² = 31.59 m²

Maximum number of panels that can be placed on roof section :

Total area that can be covered / area of panel

31.59 m² / 1.19 m²

= 26.54 panels

Answer:

missing angle <60 and side lengths 5, 5[tex]\sqrt{3}[/tex]

Step-by-step explanation:

we understand from the given information that  the triangle in question is a special right triangle

and since this is a special triangle the side lengths follows :

the side length that sees <90 is represented by 2x

the side length that sees <60 is represented by x[tex]\sqrt{3}[/tex]

and the side length that sees <30 is represented by x

2x = 10 so x = 5 and  x[tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]

Answer:

90n-72=0

Step-by-step explanation:

18×5n-18×4=0

Answer:

-36,36

Step-by-step explanation:

3x - 6(5x + 3) = 9x + 6

 Distribute:

3x - 30x - 18 = 9x + 6

Combine like terms:

-27x - 18 = 9x + 6

There are two possible ways to isolate x

On the left

Subtract 9x from each side

-27x - 18 -9x = 9x-9x + 6

-36x -18 = 6

On the right

Add 27x from each side

-27x - 18 +27x = 9x+27x + 6

-18 =36x+ 6

Given:

The two exponential functions are shown in the given table.

To find:

The correct conclusion about the functions f(x) and g(x).

Solution:

The given functions are:

[tex]f(x)=2^x[/tex]

[tex]g(x)=\left(\dfrac{1}{2}\right)^x[/tex]

The function g(x) can be written as:

[tex]g(x)=\dfrac{1}{2^x}[/tex]

[tex]g(x)=2^{-x}[/tex]

[tex]g(x)=f(-x)[/tex]

It means the graphs of f(x) and g(x) are reflections over the y-axis. So, option B is correct.

Since [tex]g(x)\neq -f(x)[/tex], therefore the functions f(x) and g(x) are not the reflections over the x-axis. So, option A is incorrect.

The function f(x) is an increasing function because the base of the exponent is [tex]2>1[/tex]. The function g(x) is a decreasing function because the base of the exponent is [tex]\dfrac{1}{2}<1[/tex]. So, option C is incorrect.

At x=0 the value of f(x) is 1 and the value of g(x) is also 1. It means the functions has same initial values. So, option D is incorrect.

Therefore, the correct option is B.

We can conclude that g(x) is a reflection over the y-axis of f(x).

The two functions are:

You can see the graph of these functions at the end of the answer.

You can also notice that g(x) can be written as:

g(x) = (1/2)^x = 2^(-x) = f(-x)

Then this is a reflection over the y-axis, thing that you can also see in the graph below.

So the correct option is:

"The functions f(x) and g(x) are reflections over the y-axis."

If you want to learn more about reflections, you can read:

https://brainly.com/question/4289712

Answer:

Expression is equivalent to (x^1/4 y^16)^1/2 is x^1/8 y^8

Answer:

Step-by-step explanation:

75 = 5 * 5 * 3

Log3 + log(5) + log(5) = 1.8751

log(75) = 1.87506 which is the same answer we got from adding the logs.

Answer:

b is the answer

Step-by-step explanation:

it's true because it gives interset or compensation amount to the individuals or organizations which motivates people to save their money in a saving account

wait ik you from rsm

Answer:

Yeah

Step-by-step explanation:

Answer:

C:The set of all possible outcomes

Answer:

It's C. 1

Step-by-step explanation:

Use slope intercept form.

Answer:

-1/9^2 is the power notation for your questions

Step-by-step explanations

Answer:d

Step-by-step explanation:

Answer:

D

explanation:

i got it right on the test

Answer:

(x-9)^2 +(y-12)^2 = 225

Step-by-step explanation:

First find the length of the radius

If is the distance from the center to the point

d = sqrt( (x2-x1)^2 + (y2-y1)^2 )

   = sqrt( (0-9)^2 + (0-12)^2)

   = sqrt ( 81+144)

  = sqrt(225)

  = 15

The equation for a circle is

( x-h) ^2+ (y-k)^2 = r^2

(x-9)^2 +(y-12)^2 = 15^2

(x-9)^2 +(y-12)^2 = 225

Given:

The table that shows the relationship of the total number of pieces of fruit to the number of bananas.

To find:

Why is [tex]\dfrac{6}{5}[/tex] not equivalent to [tex]\dfrac{3}{2}[/tex].

Solution:

If a, b, c are real numbers, then

[tex]\dfrac{a}{b}=\dfrac{a\times c}{b\times c}[/tex]

The given fraction is [tex]\dfrac{3}{2}[/tex]. It can be written as:

[tex]\dfrac{3\times 2}{2\times 2}=\dfrac{6}{4}[/tex]

The number 3 is multiplied by 2 to get 6. So, the 2 should also be multiplied by 2. The ratio should be [tex]\dfrac{6}{4}[/tex], not [tex]\dfrac{6}{5}[/tex].

Therefore, the correct option is A.

Answer:

m = (y2 - y1) / (x2 - x1) = (10 - 6) / (3 - 1) = 2    slope of line

y = m x + b standard form of straight line

y = 2 x + b      where b is the intercept at x = 0

b = y - 2 x

b = 6 - 2 = 4    from our first equation

Also, b = 10 - 6 = 4       check from second equation

y = 2 x + 4    is our equation

Check if y = 6 and x = 1 then

y = 2 * 1  + 4 = 6   verifying the first point given

Answer:

The "!" represents a factorial

Step-by-step explanation:

In math, a factorial when there is an ! followed by a number.

For example, 5! = 5 factorial.

To solve factorials, multiply every integer below the number before the factorial, including the number.

5! = 5 x 4 x 3 x 2 x 1 = 120.

Answer:

C

Step-by-step explanation:

Answer:  C. Trey, Susie, Tucker, Jordan, Ashton

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

Explanation:

The random sub-sequence 52197 66082 helps directly determine who we pick.

The digit 5 is first of that sequence, so we pick Trey first (as he's the 5th student). Then we pick student #2 next, who is Susie.

Up next is student #1, and that would be Tucker

Up next is student #9, but the list only goes high as 7. So we skip over 9

Jordan is next up since 7 is the next digit

Finally, the last selection is Ashton because 6 follows after.

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

In other words, the sequence 52197 6 will lead to these selections in the order provided.

Side note: if we wanted a 6th student, then we'd have to skip over the next 6 since we cannot pick Ashton twice. The 6th selection would be Jack since he's student #0

Answer:y=5x-3

Step-by-step explanation:

Answer:

true, to my knowledge concentric circles are just circles that all have one main center.

Step-by-step explanation: