Use continuity to evaluate the limit.
lim 16+radical x/ radical 16+x
1+9
Consider the intervals for which the numerator and the denominator are continuous.
The numerator 16+ radical x is contintuous on the interval
[0,00)
0
The denominator V16 + I is continuous and nonzero on the interval
(16,00)
X
The interval for which the quotient is continuous is the intersection of the above intervals.
16+
Therefore, the quotient
is continuous on the interval
716 +1
[-16,0]
X
Since 2
9 is in the interval (0, 0), then fis continuous at x = 9. Therefore,
19
16 + VE
lim
179 16 +2
f(9)
00
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Answer: D , p = n (800 - 450) - 3000

Step-by-step explanation: Firstly, you have to account for how much money Rafael is making off of each computer (800 - 450). That factor is then multiplied by the variable "n" which represents the amount of computers sold. Lastly, since this is an equation to calculate his monthly profits, you have to subtract the rent that he is paying ($3000) from the total profit that he made off of selling the computers. Therefore, giving you the equation

P (profit) = n (amount of computers sold) (800-450) - 3000 (rent).

The equation that represents Rafael's monthly profit selling 'n' numbers of computers is D. P = n(800 - 450) - 3000.

An equation represents equality for the terms that are on the both side of the equal sign.

Given Rafael buys computers for 450 dollars and sells them for 800 dollars each.

He also had to pay 3000 dollars for rent and utilities for the store and the number of computers sold in each month is given by 'n'.

∴ The equation that represents his profit(P) in a month is,

P = n(800 - 450) - 3000.

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Answer:

54318

Step-by-step explanation:

my teacher told me the numbers are 54,3 and 18

Answer:

dont tell people where you live

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

25-4g

25-4(-3)=37

Answer:

the answer is 13

Step-by-step explanation:

Plug g in

24-4×-3

PEMDAS

4×-3=-12

25-12=13

Answer:

False

Step-by-step explanation:

The range of the function is the set of all possible y values, in our case that would be {5, 6, 8, 13}, there for the range of the function is not {2, 4, 5, 6}, therefore the statement is false.

Answer:

c but hrid8sbd s sishdnsos d sisivdks s siebw sid djs sie e ie die did eid did dj die dis sjs shwis. dis s sis sjis djsbd

Answer:

b

Step-by-step explanation:

Time taken for the total workout = 15 + 30 + 45 = 90 minutes

Time taken for lifting weight : total time = 30 : 90

                                                                 = 1 : 3

Answer:

so 1/2 of those socks aren't blue?

Answer:

4/27=14.8%

Step-by-step explanation:

In order to solve this, we have to see first each option possible, there are 2/3 of possibilities that a random Entrée ends up being Chicken Cutlet or Lasagna, then you have again 2/3 chances to get milk or water, and as you only want fruit the chances are 1/3 that you get that.

In order to calculate if this could happen at random we have to multiply all of the odds:

[tex]Probability: \frac{2}{3} *\frac{2}{3} *\frac{1}{3} \\Probability: \frac{2*2*1}{3*3*3} \\Probability: \frac{4}{27}[/tex]

So we know that for every 27 times you pick a lunch at random, 4 times it will not have the Veggie Wrap, contain milk or water, and will have fruit as the snack.

There are 2/3 of possibilities that a random Entrée ends up being Chicken Cutlet or Lasagna, then you have again 2/3 chances to get milk or water, and as you only want fruit the chances are 1/3 that you get that.

We need to now multiply the odds:

2/3x2/3x1/3

2x2x1/3x3x3

4/27

So we know that for every 27 times you pick a lunch at random, 4 times it will not have the Veggie Wrap, contain milk or water, and will have fruit as the snack.

So now we know it is, %15 rounded but 14.8% not rounded.

Answer:

1) yes

2) no

3) no

4) no

5) yes

6) yes

7) yes

8) yes

9) circle equation - B

10) circle equation - D

11) 12 people in each team

sorry im not able to answer for 12 , 13 and 14 i have urgent work im so sorry

Answer:

4448.23

Step-by-step explanation:

[tex]AV=PV(1+\frac{i}{n})^{nt}\\\\6000=PV(1+\frac{.06}{12})^{5*12}\\\\6000=PV*1.3488\\\\PV= 4448.23[/tex]

The present value of an investment that will be worth $6000 at the end of five years is, $4448.23

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Annual value = $6,000

Time = 5 years

Rate = 6%

Hence, We get;

A = P (1 + r/n)ⁿˣ

Substitute all the values, we get;

⇒ 6000 = P (1 + 0.6/12)⁶⁰

⇒ 6000 = P × 1.3488

⇒ P = $4448.23

Thus, The present value of an investment that will be worth $6000 at the end of five years is, $4448.23

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Answer:

90 pages in 10 hours :)

Answer:

90 pages

Step-by-step explanation:

First, you need to find the unit rate of how many pages he can read.

So, you divide 18 pages by 2 hours = 9 pages per hour.

Then, you multiply 9*10 hours to find out how many pages he will read in 10 hours.

You get 90.

Answer:

B [tex]1/4^2[/tex] and A [tex]4^1/4^3[/tex]

Step-by-step explanation:

Answer:

62.4

Step-by-step explanation:

Answer:

4x+12=120°

X=12-4=120°

X=8=120

X=120/8

X=15

Answer:

Step-by-step explanation:

4x + 12 =

      -12 = -12

4x = -12

/4      /4

x = -3

Answer:

x = 9

Step-by-step explanation:

First, subtract 9 from both sides, and you are left with 2x < 18. Then, divide 18 by 2 to get 9. I hope this helps :)

The value of x is 9.

To find x

Subtract 9 from both sides we get,

2x ≤18

Divide 2 from both sides,

x≤9.

Hence, the value of x is 9.

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Answer:

WHAT PERCENT?

HOPE THIS HELPS YOU ANSWER :)

#CarryOnLearning!

Answer:

23/20

Step-by-step explanation:

To subtract the fraction, find LCD and combine.

Answer:

1.15 is the answer ababbasba they making me type so much but the answer is 1.15

Answer:

D.) is the correct answer

Answer:

Buying Groceries, paying for a house, maybe in your job, doing schoolwork of course, and counting money.

Step-by-step explanation:

Answer:

1. you use it to calculate time (managing your day)

2. you use it while driving (use in angles and degrees)

3. you use it while drawing (again, use in angles and degrees)

4. you use it while cooking

5. you use it while banking (financial help)

Step-by-step explanation:

hope this helps:) please mark brainliest

Answer:

-15

Step-by-step explanation:

imma pro

Answer: r = - 25

Step-by-step explanation:

Answer:

y = 8

Step-by-step explanation:

3y = 24

3y ÷ 3 = 24 ÷ 3

y = 8

Answer:

1/64 = 0.015625

Step-by-step explanation:

(1/4)^3

Calculate 1/4 to the power of 3 and get 1/64

1/64

Look at the screenshot below

Answer:

23

Step-by-step explanation:

6/3 = x-5/9 simplify the first fraction

2= x-5/9 multiply both of the sides

18 = x-5/9 move it around correctly

-x=-5-18 calculate it

-x=-23 the negatives cancel out

x=23

Answer:

17%

Step-by-step explanation:

Answer:

y = 6x

Step-by-step explanation:

You can easily find the slope by using slope formula:

(y2-y1) / (x2-x1) (the numbers are subscript)

E.g: (24-12) / (4-2) = 12/2 = 6

m(slope) = 6

Hope this helped :)

(You can also check if it’s correct by inputting the coords into the equation, seeing if all solutions are aplicable).

Answer:

Step-by-step explanation:

[tex](3x+7)8x^2\\ \\ 3x(8x^2)+7(8x^2)\\ \\ 24x^3+56x^2[/tex]