the scale drawing of a rectangular room measures 10 cm long by 6 cm wide. the actual width of the room is 15 feet. what is the actual perimeter of the room, in feet?​

Given that

[tex]g(x) = x^3 + x[/tex]

the inverse [tex]g^{-1}(x)[/tex] is such that

[tex]g\left(g^{-1}(x)\right) = g^{-1}(x)^3 + g^{-1}(x) = x[/tex]

or

[tex]g\left(f(x)\right) = f(x)^3 + f(x) = x[/tex]

Differentiating both sides using the chain rule gives

[tex]3f(x)^2f'(x) + f'(x) = 1 \\\\ f'(x) \left(3f(x)^2+1\right) = 1 \\\\ f'(x) = \dfrac1{3f(x)^2+1}[/tex]

Then the derivative of f at 2 is

[tex]f'(2) = \dfrac1{3f(2)^2+1} = \boxed{\dfrac14}[/tex]

Answer:

2. 4y-2xy

Step-by-step explanation:

6y-2y(x+1)=6y-2xy-2y

=4y-2xy

Answer:

9s = 378t      

is the same as  (9 x 42)   etc...

Step-by-step explanation:

I don't have the choice of answers of what is being said as proportional but an example is here below of what numbers are multiples of 42 and therefore found its proportion this way.

10s = 420t       (10 x 42)

9s = 378t         (9 x 42)   etc...

8s = 336t

7s = 294t

6s = 252t

5s = 210t    (5 x 42)

4s = 168t    etc....

Answer:

2y - 9x - 40 = 0

Step-by-step explanation: i already done the test

Answer:

it will rotate 7.5 degrees

Step-by-step explanation:

Answer:

-1.25

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

4*5 =20

15/3 = 5

8-5 = 3

3+20=23

8(-15/3)+(4*5)

pogpogii mooooooooooo

Answer:

9

Step-by-step explanation:

the gcf is 9

Answer:

[tex]T(x)=\begin{cases}\frac{3x+1}{2} & x\text{ is odd} \\ \frac{x}{2} & x\text{ is even}\end{cases} \\ for \: instance \: start \: with \: 7 \: \\ which \: is \: an \: odd \: number \\ \frac{21 + 1}{2} = \frac{22}{2} = 11 \\ 11 \: is \: odd \\ \frac{11 + 1}{2} = 6\\ 6 \: is \: even \\ \frac{6}{2} = 3 \\ 3\: is \: odd \\ \frac{9 + 1}{2} = 5 \: \\ 5 \: is \: odd\\ \frac{15 + 1}{2} = 8 \\ 8 \: is \: even \\ \frac{8}{2} = 4 \\ 4 \: is \: even \\ \frac{4}{2} = 2 \: then \: 1 \\ [/tex]

Step-by-step explanation:

Can we connect to 1 for all numbers?

A general proof for a simple pattern seems almost impossible, probably a new branch of mathematics maybe needed to tackle this conjecture...

Answer:

Mao will say more numbers.

Step-by-step explanation:

Think about it like this, 5x6=30 Mao will be saying 6 numbers

10x4=40... Alana will be saying 4 numbers.

Answer:

12.48 is the answer

Step-by-step explanation:

have a great day

Answer:

12.48

Step-by-step explanation:

104×12=1248

1248 count to decimals

12.48

Answer:

answer is A x = -4 and x = 3

Step-by-step explanation:

-4 , 3

switch the signs

Answer:

The answer is "A."

Step-by-step explanation:

x+4=0. x-3=0

x=0-4. x=0+3

x= -4. x= 3

x = -4 and x = 3

Using the idea that similar triangles are proportional, we can solve this problem fairly easily using a proportion. It is always best to try to draw a picture if possible, as it may increase your understanding of the problem! I have attached an image of the situation.

Proportion: The woman's distance from the laser / the woman's height = the lamp post's distance from the laser / the lamp post's height

2.1 / 1.8 = 4.5 / x

8.1 = 2.1x

x = 3.9m

Hope this helps!! :)

Answer:

6.5555 months

Step-by-step explanation:

$415-$120= $295

Micah will need $295 from his paycheck earnings to be able to afford the guitar.

$295/$45= 6.5555months

Answer:

B.) 9

Step-by-step explanation:

The square root of 75 is 8.660254038 (or 8.6). The 6 tells us that we need to round up to a whole number which makes it the closest to 9

Answer:

Manuel

Step-by-step explanation:

You should set up a proportion graph first such as r:c where r is the amount of minutes spent on resistance and c is the amount of minutes spent on cardio.

Alex's ratio: 24:30

Carisa's ratio: 15:20

Manuel's ratio: 14:15

Now you have to find the lowest common multiple (lcm) of the cardio minutes. Their lcm is 60. Now the ratios look like this:

Alex's ratio: 48:60

Carisa's ratio: 45:60

Manuel's ratio: 56:60

The ratio with the highest first number is considered larger. In this case its Manuel since he has the number 56.

Answer: gas left after 4 hours :8

Gas left after t hours: 13-1.25t

Step-by-step explanation:

The gas left after 4 hours will be 8 gallons and expression for the gas left after t hours will be 13 - 1.25 t.

It is given that Ryan has 13 gallons of gas in his car and car uses 1.25 gallons of gas per hour.

We have to find out the amount of gas left after 4 hours and expression for the gas left after t hours.

What do you mean by algebraic expressions ?

The algebraic expressions are those which are made up of variables, constants and algebraic operations i.e., addition, subtraction, etc.

As per the question ;

Ryan has 13 gallons of gas in his car.

The gas used per hour = 1.25 gallons

The gas used by car in 4 hours will be ;

= 1.25 × 4

= 5 gallons

So ,

The gas left after 4 hours will be equal to ;

= 13 - 5

= 8 gallons

Also ;

The gas left after t hours can be represented by equation ;

= 13 - 1.25 t

Thus , the gas left after 4 hours will be 8 gallons and expression for the gas left after t hours will be 13 - 1.25 t.

To learn more about algebraic expressions click here ;

https://brainly.ph/question/20786412

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Answer:

3.98 x 10 to the power of 5

Step-by-step explanation:

Mark me brainleist if this is correct!

Answer:

y=-x+pi/3+sqrt(3)/2

Step-by-step explanation:

*I assume you are asking for help on part a because the other question is a calculator question.*

We want to find tangent line to y=2sin(x)cos(x) at x=pi/3.

First I prefer to use y=sin(2x). (Double angle identity: sin(2x)=2sin(x)cos(x) .)

Differentiate using chain rule:

y'=2cos(2x)

y' gives us the slope for any tangent along our curve.

So at x=pi/3, the slope is 2cos(2×pi/3)=2cos(2pi/3)=2(-1/2)=-1.

We also need to know a point our line to find the equation of our line.

At x=pi/3, y=sin(2×pi/3)=sin(2pi/3)=sqrt(3)/2.

So a point on our line is (pi/3, sqrt(3)/2).

So by point-slope form of a line we have

y-y1=m(x-x1)

y-sqrt(3)/2=-1(x-pi/3)

Distribute:

y-sqrt(3)/2=-x+pi/3

Add sqrt(3)/2 on both sides:

y=-x+pi/3+sqrt(3)/2

Answer:

y= -x+(pi/3)+(sqrt3)/2

Step-by-step explanation:

The given is y=2sin(x)*cos(x)

to take the derivative we will need to use the constant rule (which says when taking the derivative of any constant multiplied by an expression you take the derivative of the function and multiply it by the constant) and the multiplication rule to get

y'=2(sin(x)*-sin(x)+cos(x)*cos(x))

this would simplify to be

y'=-2sin^2(x)+2cos^2(x)

We then substitute in the given x value to find the slope of the tangent line at that point and get

-2sin^2(pi/3)+2cos^2(pi/3)

which simplifies to

-2*3/4+2*1/4

which is -1

Since we have the slope we need to find the y value to go with the original x so that we have a point to use in point slope form. When we substitute pi/3 into the given equation we get (sqrt 3)/2 and have the point (pi/3, sqrt3/2)

now we write the point slope form equation

y-(sqrt3)/2= -(x-pi/3)

y-(sqrt 3)/2 = -x+pi/3

y= -x+pi/3+(sqrt3)/2

you could simplify the last two terms, but I think it is simplest to understand this way.

For b, enter both equations into graphing software or a calculator

Answer:

$212.5

Step-by-step explanation:

x= 100*170/80

x= 17000/80

x= 212.5

Answer:

vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvfvgvgggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

6×100=600

600 might not be that much close to 3236 but it's not over 3236

Answer:

Answer is invalid. You cannot solve it.

Step-by-step explanation:

Answer:

y=4.8 X=34.2

Step-by-step explanation:

Answer:

maybe always true because that is number

The sum of rational number and irrational number always be an Irrational number

O Always true

Answer:

0,40789

Step-by-step explanation:

To pick 1 red marble (from 5 red) from all 20 marbles is 5/20 = 0.25

To pick 1 green marble (from 3 green) from 19 because we already took red marble is 3/19 = 0.15789

The probability of randomly choosing a green marble after you have chosen red is 3/68.

Given

A jar has 20 marbles: 3 green, 12 blue, 5 red.

In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

The probability of choosing a green marble is =  Number of green marbles / New total number of marbles

= 3/19

Therefore,

The probability of randomly choosing a green marble after you have chosen red is;

[tex]\rm=\dfrac{5}{20}\times \dfrac{3}{19}\\\\=\dfrac{1}{4}}\times \dfrac{3}{19}\\\\ = \dfrac{3}{68}[/tex]

Hence, the probability of randomly choosing a green marble after you have chosen red is 3/68.

To know more about probability click the link given below.

https://brainly.com/question/743546

Answer:

2x+3x+x= 180

6x= 180

x=180/6=30

<DBE = 3x = 3*30 = 90

Step-by-step explanation:

Pls mark as brainliest

Answer:

yeah f(x) = 2

Step-by-step explanation:

because there is no x and f(x) is on positive 2

Answer:

Step-by-step explanation:

Only one hypotenuse and it lies opposite to the right angle.