If f(x) = 4x1/2 , find f(4)

Answer:

The absolute maximum and the absolute minimum are (0, 16) and (2, 0).

Step-by-step explanation:

First, we obtain the first and second derivatives of the function by chain rule and derivative for a power function, that is:

First derivative

[tex]f'(x) = -4\cdot (-x+2)^{3}[/tex]

Second derivative

[tex]f''(x) = 12\cdot (-x + 2)^{2}[/tex]

Then, we proceed to do the First and Second Derivative Tests:

First Derivative Test

[tex]-4\cdot (-x+2)^{3} = 0[/tex]

[tex]-x + 2 = 0[/tex]

[tex]x = 2[/tex]

Second Derivative Test

[tex]f''(2) = 12\cdot (-2+2)^{2}[/tex]

[tex]f''(2) = 0[/tex]

The Second Derivative Test is unable to determine the nature of the critical values.

Then, we plot the function with the help of a graphing tool. The absolute maximum and the absolute minimum are (0, 16) and (2, 0).

Answer:

C)

Step-by-step explanation:

Find the total sum

25+28= 53

53+31=84

Fimd the average by dividing by 3

84/3= 28

Hence, the answer is c

Answer:

c. 28kg

Step-by-step explanation:

28+25+31 = 84

84/3 = 28kg

Answer:

252 in^3

Step-by-step explanation:

7*3*12 = 252

252*.04 = $10.08

Answer:

n = -3

Step-by-step explanation:

11(n – 1) + 35 = 3n

Distribute

11n -11 +35 = 3n

Combine like terms

11n +24 = 3n

Subtract 11n from each side

11n+24 -11n = 3n -11n

24 = -8n

Divide by -8

24/-8 = -8n=-8

-3 =n

Answer:

Step-by-step explanation:

1000 gallons - 940 = 60 then divide by the time which gets us 60/10=6

Now we can use this answer to help find out the amount remaining in the tank.

5 minutes = 5x6=30; 1000-30= 970 gallons

20 minutes= 20x6=120; 1000-120= 880 gallons

30 minutes=30x6=180; 1000-180= 820 gallons

27 minutes=27x6=162; 1000-162= 838 gallons

X minutes = 1000-6x

Rate of flow is 6 gallons per minute.

Hope this helps!

Answer:

The answer is "2.998".

Step-by-step explanation:

In the given question, the answer is "2.998" because the critical region value will be used to divide the value into two-part that is 0.01, in which each of the value that will have to see the values of the degree of freedom that is 7, in column 0.01, that is equal to 2.998.

Answer:

2.998

Step-by-step explanation:

Got it right on the test.

Answer:

[tex]Pr = \frac{1}{45}[/tex]

Step-by-step explanation:

Given

[tex]Black =5[/tex]

[tex]Pink = 2[/tex]

[tex]Blue = 3[/tex]

Required

[tex]P(Pink\ and\ Pink)[/tex]

This is calculated as:

[tex]Pr = P(Pink) * P(Pink)[/tex]

Because it is a selection without replacement, the probability is:

[tex]Pr = \frac{n(Pink)}{Total} * \frac{n(Pink) - 1}{Total - 1}[/tex]

[tex]Pr = \frac{2}{10} * \frac{2 - 1}{10 - 1}[/tex]

[tex]Pr = \frac{2}{10} * \frac{1}{9}[/tex]

[tex]Pr = \frac{1}{5} * \frac{1}{9}[/tex]

[tex]Pr = \frac{1}{45}[/tex]

Answer:

The 3rd and the 5th

Step-by-step explanation:

The graphs of the 3rd and the 5th functions are straight lines

The 1st and 2nd are parabolas

The 4th is an exponential

You must look at the graph: it shall include all the real values for the y coordinate

Answer:

D. ASA

Step-by-step explanation:

ASA (Angle-Side-Angle) is a proof of congruence when two triangles share two angles and the side between them.

Answer:

However, note further that the congruent sides are not included sides of the two relevant angles, in which case it won't be ASA but AAS.

Therefore, the two angles are congruent by the AAS Congruence Theorem and the correct answer is C.

Step-by-step explanation:

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Answer:

angle GIH

angle HIG

this is the answer

Answer:

QM = 21

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

QM = PQ = 21

Answer:

(F.g(x))=x^2-10x+24

Step-by-step explanation:

when when we have a composition function, like f of g of x, we put the second function g of x in place of every x in f of x,

so f(x)=x^2-6x+8

and we will put x-2 which is g(x) in the place of every x

so f(g(x))=(x-2)^2-6(x-2)+8

so we ca n simplify that into f(g(x))=x^2-4x+4-6x+12+8

which simplifies to f(g(x))=x^2-10x+24

Answer:

BC= 5 units

Step-by-step explanation:

Answer:

$2 per word

Step-by-step explanation:

Answer:

16x+24y

Step-by-step explanation:

8(2x+3y)

8*2x+8*3y

16x+24y

Step-by-step explanation:

there must be something missing here (I guess, the graph).

because just by looking at the 2 points, all 4 answer options could be wrong, or all 4 could be right.

just basing on the point coordinates I see the functional values (y) go from 2 to 4.

but we have no clue about what that curved function does in between these 2 points.

please provide the full information.

Answer:

no

Step-by-step explanation:

no

Answer:

Use SOHCAHTOA

Step-by-step explanation:

If you don't know what this is, it means Sin=opposite/hypotenuse, cos=adjacent/hypotenuse, tan=opposite/adjacent. There is more than 1 way to solve this, but here's how I did it.

Starting with part A, we are trying to find the hypotenuse of the triangle. We have an angle and the side opposite of that angle, so we can use the sin function.

Sin(54) = 12.2 / hypotenuse

Sin(54) * hypotenuse = 12.2

Hypotenuse = 12.2 / sin(54) = 15.1

Now for Part B

Finding the last angle

180-90-54=36

So now, we have this angle and the side adjacent to it. We are trying to find the opposite side, so let's use the tan function

Tan(36) = opp / 12.2

opp = tan(36) * 12.2 = 8.9

You can double check these answers using pythagorean theorem. Hope this helps

Answer:

2 solutions for this equation because the highest power is 2

The required number will be 16

the expression will be like :

hope it helps you cap !!

Anti - Venom

Answer: HI your question is incomplete/poorly attached below is the complete question

answer

( a + 3 ) , ( b + 2 )

Step-by-step explanation:

Given expression = ab + 2a + 3b + 6  

factorizing the expression completely we will have

  = a( b + 2 ) + 3 ( b + 2 )

hence the factors of the expression = ( a + 3 ) , ( b + 2 )

Step-by-step explanation:

everything can be found in the picture

Answer:

One was to write this ratio is lets say you where ordering 100 Happy Platters this mean you would get 200 corn and 300 flour.

another way is lets say you got a Happy Platter and split it in half with some one else you would get 1 corn and 1.5 flour

Answer:

Step-by-step explanation:

LCM×HCF= Product

LCM×3=180

LCM=180/3=60

Answer:

1 and one-fourthmiles

Step-by-step explanation:

Answer:

C. 1 1/4

Step-by-step explanation:

i did the question

Answer:

Logarithm, the exponent or power to which a base must be raised to yield a given number.

Answer:

S'' = ([tex]-\frac{3}{2} , \frac{9}{2}[/tex] )

Step-by-step explanation:

coordinate of x is (-2 , 6)

scale factor to transform the triangle is 3/2

so to find S' use this scale factor

formula :

(x , y) = (kx , ky)    (k means scale factor)

S(-2 , 6) = S'(3/2 *-2 , 3/2 * 6)

S'(-3 , 9)

now to find S'' again use the same formula

(x , y ) = (kx , ky)

this time take S' and to find S'' use 1/2 as scale factor

S'(-3 , 9) = S''(1/2 *-3 , 1/2 * 9)

S''(-3/2 , 9/2)

The transformation is S'' = (-3/2, 9/2). The correct option is A.

Scale factor refers to the ratio of corresponding lengths or measurements between two similar objects or figures. It represents how much one object has been scaled or enlarged/reduced compared to another object.

The scale factor is determined by dividing the length or measurement of a corresponding side or dimension of one object by the length or measurement of the corresponding side or dimension of the other object. It provides a quantitative relationship between the two objects.

The coordinate of x is (-2, 6). The scale factor to transform the triangle is 3/2 so to find S' use this scale factor.

formula :

(x , y) = (kx, ky)    (k means scale factor)

S(-2 , 6) = S'(3/2 x -2 , 3/2 x 6)

S'(-3 , 9)

Now to find S'' again use the same formula:

(x , y ) = (kx, ky)

this time take S' and to find S'' use 1/2 as the scale factor.

S'(-3 , 9) = S''(1/2 x -3 , 1/2 x 9)

S''(-3/2 , 9/2)

To know more about scale factors follow

https://brainly.com/question/26541943

#SPJ2

Step-by-step explanation:

[tex] consider \: \: {2x}^{2} - 13x + 15 = 0 \\ (2x - 3)(x - 5) = 0 \\ 2x - 3 = 0 \: \: \: \: \: or \: \: \: \: \: x - 5 = 0 \\ x = 1 \frac{1}{2} \: \: \: \: \: or \: \: \: \: \: x = 5 \\ \\ \\ hence \: the \: products \: of \: zero \: are \: x = 1 \frac{1}{2} \: and \: x = 5[/tex]