What is the domain of the function
f(x) =sqrt 1/3x+2 ?
(answers in picture)

Complete question :

a ladder 5 meters long is leaning against a wall. the base of the ladder is sliding away from the wall at a rate of 1 meter per second. how fast is the top of the ladder sliding down the wall at the instant when the base is 4 meters from the wall?

Answer:

-4/3 m/s

Step-by-step explanation:

Using Pythagoras :

a² = x² + c²

5² = x² + y² - - - (1)

The horizontal distance x with respect to time t = 1m/sec

dx/dt = 1m/sec

To obtain the vertical height 'y' with respect to time t when x = 4

5² = x² + y²

Wen x = 4

5² = 4² + y²

25 = 16 + y²

y =√(25 - 16)

y = 3

Differentiate (1) with respect to t

x² + y² = 25 - ---- - (1)

2x * dx /dt + 2y dy/dt = 0

dx/dt = 1

x = 4.

y = 3

2(4)(1) + 2(3) * dy/dt = 0

8 + 6dy/dt = 0

6 dy/dt = - 8

dy/dt = - 8/6

dy/dt = - 4/3

Answer:

y+10=4(x-3)

Step-by-step explanation:

Answer:

4 5/6

4×5=20+6=

26/6

26÷2=13

6÷2=3

Answer:

you multiply 4*5/6 which will give you 10/3 which is an improper fraction the decimal form would be 3.3 continuation and the mixed number form would be [tex]3\frac{1}{3}[/tex]

Step-by-step explanation:

Answer: You say “You're on thin ice”.

Answer: 231.375

Step-by-step explanation: Just Have To Divide

Answer:

I guess B?

Step-by-step explanation:

TBH I'm very confused with this problem, but I would probably say B, none of the others make even a remote bit of sense.

Answer:

The answer is A and C or 4(10%) and 10% + 10% + 10% + 10%

Step-by-step explanation:

I got it right on edge.

Answer:

25

Step-by-step explanation:

pemdas

parentheses- 4 to the 2nd power is 16, 16 + 7 is 23.

exponents- 2 to the 3rd power is 8.

multiplication- 6 x 8 is 48

so then its easy from there. its 48 minus 23, which equals 25

Answer:

8

Step-by-step explanation:

Number = 2x

Therefore, 2x + 8 = 8(x - 5)

2x + 8 = 8x - 40

6x = 48

x = 8

Here's the answer I just got it in the potomath

Answer:

0.9

Step-by-step explanation:

Answer:

0.9!

Step-by-step explanation:

well this is kinda going to be self explantiory just subtract so like 7-8, turn the 7 into 17 and so do 17 -8 which is 9. And since you cannot do 7-8 you have to take the 1 from the 1.7 right so 1-0 will turn into 0-0 with is 0! so 0.9 will be your answer, hopethis helps!

Answer:

15.4

Step-by-step explanation:

3(9+3⋅8)−23

3(12.8)-23

38.4-23

15.4

So the answer is15.4

Answer:

76

Step-by-step explanation:

3(9+24)-23

27+72-23

76

Answer:

m - 30 = 10

m = 40

30 - m = 10

m = 20

Hope This Helps!

Answer:

the slope is 1

Step-by-step explanation:

The linear equation is y=x+2

Answer:They are equal

Step-by-step explanation:

they will add up they are just token apart or in pieces

Three different figures are given. The area of the shaded region of all the figures is the same.

We need to determine the highest shaded area among all.

Now, the area of the square is common to all.

Thus,

[tex]\begin{aligned}\rm{Area\;of\;square}&=12^2\\&=144 \;\rm{units^2}\end{aligned}[/tex]

1). Calculate the shaded area for figure A.

The diameter of the circle is 12 units, hence its radius is 6 units.

Therefore,

[tex]\begin{aligned}\rm{Area\;of\;circle}&=\pi \times 6^2\\&=36 \pi \;\rm{units^2}\end{aligned}[/tex]

[tex]\begin{aligned} \rm{Shaded\; area} &= \rm{Area\; of\; the\; square - Area\; of\; the\; circle}\\&=144-36 \pi \end{aligned}[/tex]

Thus, the area of the shaded region for figure 1 is [tex]114-36 \pi[/tex].

2). Calculate the shaded area for the figure B.

The diameter of the circle is 6 units, hence its radius is 3 units.

Therefore,

[tex]\begin{aligned}\rm{Area\;of\;circle}&=\pi \times 3^2\\&=9 \pi \;\rm{units^2}\end{aligned}[/tex]

[tex]\begin{aligned} \rm{Shaded\; area} &= \rm{Area\; of\; the\; square - 4 \times Area\; of\; the\; circle}\\&=144-36 \pi \end{aligned}[/tex]

Thus, the area of the shaded region for figure 2 is [tex]114-36 \pi[/tex].

3). Calculate the shaded area for figure C.

The diameter of the circle is 4 units, hence its radius is 2 units.

Therefore,

[tex]\begin{aligned}\rm{Area\;of\;circle}&=\pi \times 2^2\\&=4 \pi \;\rm{units^2}\end{aligned}[/tex]

[tex]\begin{aligned} \rm{Shaded\; area} &= \rm{Area\; of\; the\; square - Area\; of\; the\; circle}\\&=144-36 \pi \end{aligned}[/tex]

Thus, the area of the shaded region for figure 3 is [tex]114-36 \pi[/tex].

Therefore, the area of the shaded region of all the figures is the same.

To know more about it, please refer to the link:

https://brainly.com/question/17724150

Answer:

you didnt show the table and I need the ta le in order to answer your question

Answer:

The price is proportional to number of students

Step-by-step explanation:

Given

2010: $1260 for 84 students

2011: $1050 for 70 students

2012: $1395 for 93 students

Required

Determine if the price is proportional to number of students

To do this, we simply divide the price by number of students in each year.

[tex]Ratio = \frac{Price}{Students}[/tex]

In 2010

[tex]Ratio = \frac{\$1260}{84}[/tex]

[tex]Ratio = 15[/tex]

In 2011

[tex]Ratio = \frac{1050}{70}[/tex]

[tex]Ratio = 15[/tex]

In 2012:

[tex]Ratio = \frac{1395}{93}[/tex]

[tex]Ratio = 15[/tex]

Notice that the ratio in the 3 years is 15.

Hence, the price is proportional to number of students

Answer: D and E

Step-by-step explanation:

Answer:

4.2

Step-by-step explanation:

Subtract 20.5 from 24.7

 20.5

- 24.7

-----------

   4.2

Hope this helped :)

Answer:

4.2

Step-by-step explanation:

24-20=4. .7-.5=.2. 4+.2=4.2

Answer:

64

Step-by-step explanation:

cus 8 times 4 is 32 and 32 times 2 is 64

The double of 8 multiplied by 4 is 64. This means that if we multiply 8 by 4 and then multiply the result by 2, we obtain 64. The multiplication operation is performed first (8 * 4 = 32), and then the result is doubled by multiplying it by 2 (2 * 32 = 64).

To find the double of 8 multiplied by 4, we can perform the following calculation:

Double of 8x4 = 2 * (8 * 4)

First, we multiply 8 and 4:

8 * 4 = 32

Next, we multiply the result by 2:

2 * 32 = 64

Therefore, the double of 8 multiplied by 4 is 64. This means that if we multiply 8 by 4 and then multiply the result by 2, we obtain 64. The multiplication operation is performed first (8 * 4 = 32), and then the result is doubled by multiplying it by 2 (2 * 32 = 64).

Learn more about Expressions of double  here:

brainly.com/question/4344214

#SPJ6

d

Step-by-step explanation:

Answer: -4,-1.5,1,3.5,6,8.5

Step-by-step explanation: You can check that the difference of any of its consecutive terms is always equal to 2.5.

8.5 - 6 = 2.5

-1.5 - (- 4) = 2.5

3.5 - 1 = 2.5

Answer:

2

Step-by-step explanation:

Answer:

2 because 2 plus 9 is 11

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

Answer:

A triangle is equal to 180. So, 180-90-31=59!

Answer:

m=2

Step-by-step explanation:

(1,2), (2,4)

4-2/2-1

2/1

m=2