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Answer:

27

32

27

Step-by-step explanation:

1) limit x->2 1/3[f(x)]^2= 27

2) limit x->2 3f(x)+5= 32

3) limit x->2 [f(x)]3/2= 27/2

"A limit is the value that a function approaches as the input approaches some value."

If limit f(x) = m and constant 'a',

limit a (f(x)) = a × m

limit (f(x))^n = (m)^n

limit (a) = a

limit (f(x) + a) = m + a

Given: limit x->2 f(x)=9.

We need to evaluate each limit.

1) limit x->2 1/3[f(x)]^2

⇒ [tex]\lim_{x \to 2} \frac{1}{3} (f(x))^2[/tex]

= [tex]\frac{1}{3} \lim_{x \to 2} (f(x))^2[/tex]

= [tex]\frac{1}{3} (\lim_{x \to 2} f(x))^2[/tex]

= [tex]\frac{1}{3} \times (9)^2[/tex]

= [tex]\frac{81}{3}[/tex]

= 27

2) limit x->2 3f(x)+5

⇒ [tex]\lim_{x \to 2} (3f(x)+5)[/tex]

= [tex]\lim_{x \to 2} 3f(x)+ \lim_{x \to 2} 5[/tex]

= [tex]3\lim_{x \to 2} f(x) + 5[/tex]

= [tex](3 \times 9)+5[/tex]

=[tex]\bold{32}[/tex]

3) limit x->2 [f(x)]3/2

⇒ [tex]\lim_{x \to 2} (f(x))\frac{3}{2}[/tex]

= [tex]\frac{3}{2} \times (\lim_{x \to 2} f(x))[/tex]

= [tex]\frac{3}{2} \times 9[/tex]

= 27/2

Learn more about limit here:

https://brainly.com/question/1619243

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Answer:

Your answer is C :)

Answer:

Every year 28 percent of species are SUBTRACTED from the total number of animal species.

Step-by-step explanation:

Exponential growth or decay:

The equation for exponential growth or decay has the following format:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the initial amount and r is the growth/decay rate, as a decimal.

If r > 0, each year r percent is added to the total number, and if r < 0, each year, r percent is decreased from the total number.

In this question:

[tex]S(t) = 4200000(0.72)^t[/tex]

So

[tex]1 - r = 0.72[/tex]

[tex]r = 0.72 - 1 = -0.28[/tex]

Thus

Every year 28 percent of species are SUBTRACTED from the total number of animal species.

Answer:

Experimental unit = Oat

Response variable = Oat yield

Factors : Oat varieties ; Manure Concentration

Level of factors :

Oat = 3 levels

Manure concentration = 4 levels

Step-by-step explanation:

The experimental unit in this scenario is Oat, as it is the material or entity which we wish to research or learn about.

The response variable is what we intend to measure about the experimental unit, which is the yield of oat.

Factors here are the varieties of oat and the concentration of Manure which are the entities responsible for changes in the output or behavior of the dependent variable.

Level of factors : the different varieties of the factor variable, we have three Oat levels and 4 different Manure concentration levels.

Answer:

1/6

Step-by-step explanation:

Double the original amount: 1/3. Which is 1/6, not 2/6, if it was 2/6 then people waould get 1/3 instead (not equal).

Answer: A, D, and E

Step-by-step explanation:

Answer:

yea I don't understand either kid, it's upside down.

Step-by-step explanation:

Answer:

infinitely many

Step-by-step explanation:

Answer:

there is an infinite number of triangles that can be created.

Step-by-step explanation:

To satart, you have a line, that is 8 cm, with a circle, with the center on one of its endpoints, that has a radius of 3 cm. s in this case, 2 sides of the triangle would be 8 and 3. now, with this combintion, you could have a triangle that the missing side is from 6 to 10. there is an infinite amount of numbers inbetween 6 and 10. for example, you could have 6, 6 1/4, 6 1/8, or 6 1/16.

The list goes on and on.

Answer:

−a^2 b^2 + 2a + 2b

_________________

             a^2

Step-by-step explanation:

Please mark as brainliest if answer is right  

Have a great day, be safe and healthy  

Thank u  

XD  

Answer:

-8.4375

Step-by-step explanation:

convert -9 9/16 to a improper fraction.

-9 x 16 = -144  

-144+9= -135

-135 divided by 16 = -8.4375

Answer:2 pizzas

Step-by-step explanation:

2 2/3 and 2 5/6 can both be rounded to 3. Double that and you get 6. Since there were 8 pizzas originally,subtract 6 from 8 to get 2 remaining pizzas.

Answer:

2 pizzas

Step-by-step explanation:

Answer:

11/12, 5/7, 1,8, 1/4, 1/2

Step-by-step explanation:

Answer:

L = the slanted height of the pyramid

Step-by-step explanation:

The surface area of a pyramid is given by :

[tex]SA=\dfrac{1}{2}PL+B[/tex]

Where

P is perimeter of base of pyramid

L is the slant height of the pyramid

B is the area of base.

So, the correct option is (c) "the slanted height of the pyramid".

Answer:

x = -41

y = 9

Step-by-step explanation:

Begin by multiplying the top equation by 2

2x = -8y - 10

The second equation requires a little more care.

Start by moving 10y to the right. Normally the y value is on the left, but we are going to be substituting for 2x.

2x = - 10y + 8

What I've done is not the usual practice, but there is nothing wrong with it.

Now since both right sides are equal to 2x, you can substitute for them

-8y - 10 = -10y + 8                Add 10y to both sides

-8y + 10y - 10 = 8

2y - 10 = 8                           Add 10 to both sides

2y = 8+10

2y = 18                                 Divide by 2

y = 18/2

y = 9

Use the second original equation to solve for x

2x + 10y = 8

2x + 10*9 = 8                    

2x + 90 = 8                         Subtract 20 from both sides

2x = 8 - 90

2x =  - 82                              Divide by 2

x = -822/2

x = - 41

Answer:

As points, A and B move, the slope of the two lines change but remain equal to each other. As point C moves, the slope does not change but remains equal to each other since the line through C is drawn parallel to AB.

I can canclude that slope of any two parallel lines are equal

Step-by-step explanation:

Answer:

2. 112

3. 78

5. 672

7.  149.8

9. 17.5

10. 19360

11. 64 000

13. 29

14. 350240

15. 386

16. 224

17. 0.9071847

Step-by-step explanation:

They are equal. 2/5 is 4/10.

Answer: he got 80/100 or 80% right

Step-by-step explanation:

24/30 = 12/15

12/15 as a percent:

100/15 = 6.66666666666667

12 x 6.66666666667

15 x 6.66666666667

= 80/100 or 80%

Answer:

What did you say?? i dont know what your trying to say?

Answer:

?

Step-by-step explanation:

Answer:

Original position =6,800 feet.

800 (ft per hour) x 6(hours) =4800 ft

11,600-4,800=6,800 feet

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

y=2

Step-by-step explanation:

Answer:

[tex]0.6 + \bar 0.47 = \frac{532}{495}[/tex]

Step-by-step explanation:

Given

[tex]0.6 + \bar 0.47[/tex]

Required

Express as x/y

Let

[tex]x = \bar 0.47[/tex]

This implies that:

[tex]x = 0.4747[/tex] --- (1)

Multiply by 100

[tex]100x = 47.4747[/tex] --- (2)

Subtract 1 from 2

[tex]100x - x = 99x[/tex]

This gives

[tex]47.4747 - 0.4747 = 47[/tex]

So:

[tex]99x = 47[/tex]

Solve for x

[tex]x = \frac{47}{99}[/tex]

This implies that:

[tex]\bar 0.47 = \frac{47}{99}[/tex]

[tex]0.6 + \bar 0.47[/tex] becomes

[tex]0.6 + \bar 0.47 = 0.6 + \frac{47}{99}[/tex]

Express 0.6 as fraction

[tex]0.6 + \bar 0.47 = \frac{6}{10} + \frac{47}{99}[/tex]

Take LCM and solve

[tex]0.6 + \bar 0.47 = \frac{99*6+10*47}{990}[/tex]

[tex]0.6 + \bar 0.47 = \frac{1064}{990}[/tex]

Simplify

[tex]0.6 + \bar 0.47 = \frac{532}{495}[/tex]

Answer:

Is B

Step-by-step explanation:

Answer:

      B

Step-by-step explanation: