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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

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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:

A,B, D

Step-by-step explanation: I just took that test and i got it right

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:

Is B

Step-by-step explanation:

Answer:

      B

Step-by-step explanation:

Answer:

x = 19

Step-by-step explanation:

By the Supplementary Angle Theorem we can say that;

123 + 3x = 180

3x = 57

x = 19

Hope this helps!

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:

[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]

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

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:

-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. 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:

Answer:

A. Ans: Given,

Solution,

A tea manufacturing company produces normal and green tea bags only.

52.8% of 36850 production is normal tea bags.

Now,

Number of green tea bags=52.8% of 36850

=52.8/100×36850

=19456.8

Therefore, Number of normal tea bags=19456.8

The number of green tea bags is 17384

The number of students is 3071

What is Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

Given data ,

a )

Total production of tea bags = 36850

Percentage of normal tea bags = 52.8 %

Total production of normal tea bags =

Percentage of normal tea bags x Total production

Total production of normal tea bags = ( 52.8 / 100 ) x 36850

                                                            = 19465.8 tea bags

Therefore , total amount of green tea bags = Total tea bags - Total normal tea bags

= 36850 - 19465.8

= 17384.2
≈≈ 17384

Hence , Total amount of green tea bags = 17384.2

b )

Total number of students = 9855

Percentage of students based in England = 61.6 %

Number of students based in England = Percentage of students x Total number of students

Number of students based in England = ( 61.6 / 100 ) x 9855

                                                                = 6070.68

                                                                ≈ 6071

Hence , total number of students based in England = 6070.68

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Answer:

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

Answer:

?

Step-by-step explanation:

Answer: A, D, and E

Step-by-step explanation:

Answer:

Imaginary

Step-by-step explanation:

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:

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.

The 28.3 feet high above the ground are the windows on the third story of the house.

It is required to find the height.

The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:

c² = a² + b².

Given that:

Distance between ladder and wall=25 feet

Height of window=20 feet

Closer distance between ladder and wall=15 feet

We know the Pythagoras theorem , we get

[tex]a^{2} +b^{2} =c^{2}[/tex]

we have

a=15 feet

b=?

c=25 feet

So,

[tex]a^{2} +b^{2} =c^{2}\\\\15^{2} +b^{2} =25^{2}\\\\225+b^{2} =625\\\\b^{2}=625-225\\\\b^{2}=400\\\\b=20 feet[/tex]≈28.3 feet

Therefore, the 28.3 feet high above the ground are the windows on the third story of the house.

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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:

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

Step-by-step explanation:

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  

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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:

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:

16

Step-by-step explanation: