Compute the missing data in the table for the following exponential function f (x) = (one-fourth) Superscript x.

Compute The Missing Data In The Table For The Following Exponential Function F (x) = (one-fourth) Superscript

Answers

Answer 1

Answer:

[tex] F(4) = \frac {1}{256} [/tex]

Step-by-step explanation:

Given the following mathematical function;

[tex] F(x) = \frac {1}{4^{x}} [/tex]

When x = 1

[tex] F(1) = \frac {1}{4^{1}} [/tex]

[tex] F(1) = \frac {1}{4} [/tex]

When x = 2

[tex] F(2) = \frac {1}{4^{2}} [/tex]

[tex] F(2) = \frac {1}{4*4} [/tex]

[tex] F(2) = \frac {1}{16} [/tex]

When x = 3

[tex] F(3) = \frac {1}{4^{3}} [/tex]

[tex] F(3) = \frac {1}{4*4*4} [/tex]

[tex] F(3) = \frac {1}{4*4*4} [/tex]

When x = 4

[tex] F(4) = \frac {1}{4^{4}} [/tex]

[tex] F(4) = \frac {1}{4*4*4*4} [/tex]

[tex] F(4) = \frac {1}{256} [/tex]

When x = 5

[tex] F(5) = \frac {1}{4^{5}} [/tex]

[tex] F(5) = \frac {1}{4*4*4*4*4} [/tex]

[tex] F(5) = \frac {1}{1024} [/tex]


Related Questions

The sum of two numbers is 10. The larger number is 4 times the smaller number. What are the two numbers?

Let x = the smaller number.

Let y = the larger number.

Which two equations represent the system for this word problem?

Equation 1:
Equation 2:

Answers

Step-by-step explanation:

everything can be found in the picture

Answer:

Step-by-step explanation:

Which two equations represent the system for this word problem?

Equation 1:

✔ x + y = 10

Equation 2:

✔ y = 4x

(High points) Please solve with explanation

Answers

Answer:

36 9/16 inches

Step-by-step explanation:

Given that the piece is 45 1/2 inch long and 8 7/8 is cut from it, the remaining length should be the difference between the original length and the length cut from it

= 45 1/2 - 8 7/8

simplify

= 44 - 8  (8 + 4 - 7)/8

= 36 5/8

Given that 1/16 inch is wasted in the process, the remaining length would be

= 36 5/8 - 1/16

= 36 10 - 1/16

= 36 9/16 inches

1. (x^3 - 9 x^2 + 26 x - 24) ÷ (x - 4)

2. (6 x^3 + x^2 - 26 x - 21) ÷ (3x - 7)

3. 2 x^4 - x^3 + 10 x^2 + 8 x - 6) ÷ (x^2 - x + 6)

Answers

Answer:

1. = x^2 -5x+6

Step-by-step explanation:

2. = 2x^2 +5x+3

3. =2x^2 +(x-1) +((x)/x^2 -x+6)

Was this equation solved correctly? How do you know?

Subtract three from both sides
Combine like terms
Divide by 4 on both sides
Simplify

19 = 4x + 3
19 - 3 = 4x + 3-3
16 = 4x
16/4 = 4x/4
3 = x

Answers

Yes you used the correct steps in the right order

A rectangle measures 15 cm by 10 cm is given, if the length of side is
increased by 20%, find the increase of area in percentage.​

Answers

Answer:

20 % increase in Area

Step-by-step explanation:

1.  Original Rectangle Area = 150cm ²

2. 20% of 15 is 3

3. Increased length is equal to 18

4. Increased Rectangle Area = 180cm ²

5. Ten percent of 150 = 15.

6. 15x2(ten percent) = 30. Which give us 150+30 equal to 180.

7. 2 ten percent equals 20%

8. Answer is 20%.

what is the square root of -1​

Answers

Answer:

i

Step-by-step explanation:

Now, before you think I'm just stealing points, let me explain. The square root of a number is the number that, if you multiply it by itself, it equals that number. The square root of 4 is 2, because 2 * 2 = 4.

Also, a negative number times another negative number, is a positive number. -2 * -2 = 4

With both of those true, then what number could be multiplied by itself to equal a negative number? i.

i is a weird number that I don't really know how to explain all that well. I am sorry, but that is all that I can give you. i is very complex and has various different equivalents, and different meanings, but i is equal to [tex]\sqrt{-1}[/tex].

Hope that this helps!

The standard form of a quadratic function is given below. Select ALL
statements which MUST be true about its graph.

f (x) = ax? + bx + c

A. The y-intercept of the graph is at (0,c).

B. The graph has an x-intercept at (c,0).

C. When "a" is positive, the graph opens up.

D. The graph always has two distinct x-intercepts,

Answers

Answer:

A; C.

Step-by-step explanation:

B. not correct: the graph can have no interception; one interception or two interception;

D. not correct: the graph can have no interception; one interception or two interception.

which function has a domain of all real numbers
please answer accurately I need this to pass my class. thank you.

Answers

Answer:

a.y=-x½+5

Step-by-step explanation:

from the above functions ,the highest degree or power is ½ on a.⅓,¼,⅙ are smaller than ½

the answer is a.) y = -x^1/2 + 5

Solve for x in these two similar triangles

Answers

x=12, divide 7.5/5 times x/8. cross multiply yo get 7.5 x 8 and 5x, 60=5x, x=12

The
square below is the image of a square that was dilated by a scale factor of 1. Find
the area of the preimage, the original square, before its dilation. Figures are not
necessarily drawn to scale.
11

Answers

Answer:

I'm not really sure what you're asking because there's no image.

Step-by-step explanation:

please try to reword it and maybe show a picture .

f(x)4x+1 and g(x)=x^2 -5

Answers

Answer:

B. x² + 4x - 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsFunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 4x + 1

g(x) = x² - 5

(f + g)(x) = f(x) + g(x)

Step 2: Find

Substitute in functions:                                                                                     (f + g)(x) = 4x + 1 + x² - 5Combine like terms:                                                                                         (f + g)(x) = x² + 4x - 4

Answer:

B  

Step-by-step explanation:  6  18  11  18

f(x)=4x+1 and g(x)=x^2 -5

f(x)=     4x+1

g(x)=x^2 -5      just add these two equations

(f+g)(x)  =  x² + 4x +1 - 5

(f+g)(x)  =  x² + 4x - 4     B

Which of the following are not polynomials? O A. x2 +x+1 O B. X-2 + x + 1 am. x + V3x+1 OD. 3+x+1 E. x + 0x2 + 2x + 2​

Answers

Answer:

Option B

Step-by-step explanation:

Look.......Polynomial is something which has more than 3 term..So, as you can see option B has more than three.

Which of the following is the quotient of the rational expressions shown below?

Answers

Answer:

A

Step-by-step explanation:

multiple across

5 * 6 = 30

2x+1 * x = 2x^2 + x

what is x when tan24 = 5/x

Answers

Answer:

x ≈ 11.23

Step-by-step explanation:

Given

tan24° = [tex]\frac{5}{x}[/tex] ( multiply both sides by x )

x × tan24° = 5 ( divide both sides by tan24° )

x = [tex]\frac{5}{tan24}[/tex] ≈ 11.23 ( to 2 dec. places )

PLEASE HELP ME THANK YOU

Answers

Answer:

Step-by-step explanation:

That exterior angle of 111 is equal to the sum of the triangle's remote interior angles. We add the 37 + 35 to get a total angle measure of 72. That means that the base angle on the right is 111 - 72 = 39. That 39 degree angle is vertical to x; that means that x = 39 as well.

Answer:

39deg

Step-by-step explanation:

Find the measure of each angle indicated. Please help !!

Answers

Answer: 86°

Step-by-step explanation:

You add 28°+58° to get 86

a scalene triangle always equals (adds up to) 180°

So you minus 86° from 180 to get 94° for angle EGF

Then since line EGT is 180° the ? has to add together with 94° to find your answer

94°+?=180°

180°-94°= 86°

Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert. In each arrangement below, the first initial of each person’s name represents that person’s position as he or she boards the bus: first, second, third, and fourth.

If we know that Karen boards the bus first, which shows the possible outcomes for this event?

KHIJ
KHIJ, KHJI
KHIJ, KHJI, KJHI, KJIH
KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH

Answers

Answer:

D=KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH

Step-by-step explanation:

Got a 100% on test! EDGE 2021

The possible outcomes for the given event are KHIJ, KHJI, KJHI, KJIH, KIHJ, KIJH.

What is permutation?

A permutation is a mathematical technique that is used to calculate total possible outcomes for arrangement provided that the order of selection of items is not fixed.

Given that, Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert

The formula to determine permutation is:

ⁿPₓ = n!/(n-x)!

Where n is the total number of objects and r is the number of objects selected.

For the given question, n will be 3 since K boards the bus first and hence his position is fixed.

Therefore, H, I, and J can switch positions.

³P₂ = 3!/(3-2)!

³P₂ = 6

Therefore, the correct option is D.

Learn more about permutation here:

brainly.com/question/14767366

#SPJ7

through:(-1, -2), slope = 5

Answers

Answer:

y=5x+3

Step-by-step explanation:

Hi there!

We're given the point (-1, -2) and a slope of 5. We need to find the equation of the line in slope intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

Since we're already given the slope, we can substitute that immediately into the equation

here it is so far:

y=5x+b

now we need to solve for b

Since the line will pass through the point (-1,-2), we can use it to solve for b

substitute -1 as x and -2 as y into the equation

-2=5(-1)+b

multiply

-2=-5+b

add 5 to both sides

3=b

substitute that into the equation

therefore, the equation of the line is y=5x+3

Hope this helps! :)


Find the volume of this sphere.
Use 3 for T.

Answers

You find the radius first which is half of the center so half of 16 is 8 then you just plug it in if using 3 as pi it is 2048 (4/3)(3)8^3

PLZZZZZZ HELPPPPP!!!!!!

Answers

Answer:

1

Step-by-step explanation:

1/2×2 = 2/2 = 1

_____________________

(+58) x (-75) =
I don't understand this! Can someone help me?

Answers

Answer:

-4350

Step-by-step explanation:

-((58)x(75))=

-(4350) =

-4350

Ayúdenme con esto
Por favor

Answers

Answer:

sir, this is a english app, search a spanish app

señor, esta es una aplicacion en ingles, busque una en español

Step-by-step explanation:

Brainly.lat

What are the domain and range of f(x) = 2|x -4|?
plz i'm in need

Answers

Answer:

Domain: (-∞, ∞)

Range: [0, ∞)

Step-by-step explanation:

The domain represents what x can be. In this scenario, we do not have x as a denominator, and there is nothing limiting x, so its domain is (-∞, ∞)

The range represents what f(x) can be, Because |x-4| is in absolute value, the lowest |x-4| can be is 0, and as a result, the lowest value of 2|x-4| is 2*0=0. The maximum value of f(x) is ∞ as an absolute value does not limit the maximum, making the range [0, ∞)

URGENT!!!!! I really suck at these help please I beg of you

Answers

Answer:

Step-by-step explanation:

1) ∠WVZ and ∠VWX are right angles & VX = = WZ      Given

2) WV = VW                                                                      Reflexive property

3) ΔWVZ ≅ ΔVWX                                                           HL

4) ∠Z = ∠X                                                                       CPCT

CPCT --> Corresponding parts of congruent triangle.

Help help help help

Answers

It is B hop this helps

Mary’s school is selling tickets to a choral performance. On the first day of ticket sales the school sold 4 senior citizen tickets and 2 child tickets for a total of $64. The school took in $204 on the second day by selling 12 senior citizen tickets and 8 child tickets. What is the price of one senior citizen ticket and one child ticket.

Answers

Answer:

$13 - senior

$6 - child

Step-by-step explanation:

set up a system of equations:

s = senior tickets price

c = child tickets price

4s + 2c = 64; you can simplify this by dividing through by 2 to get:

2s + c = 32

12s + 8c = 204; you can simplify this by dividing through by 4 to get:

3s + 2c = 51

we can say that 'c' = 32-2s' and substitute that for 'c' in the second equation:

3s + 2(32-2s) = 51

3s + 64 - 4s = 51

-s = -13

s = 13

now find 'c' by substituting 13 for 's':

2(13) + c = 32

26 + c = 32

c = 6

Help asappppp hbshhshshhshshsshshshs

Answers

9 on the top as well so 9 x 2 18 3x2 6 3

BD is the angle bisector of ABC. Find m ABC and m DBC. (Picture attached!) Thank you!!!

Answers

Answer:

60 Degree,30 degree

Step-by-step explanation:

BD is bisector of ∠ABC

=> ∠ABD = ∠DBC

=> 3x = x + 20

=> 3x - x = 20

=> 2x = 20

=> x = 20/2  

=> x = 10

Now,

∠ABD = ∠DBC = x + 20 = 10 + 20 = 30 Degree

∠ABC = ∠ABD+∠DBC = 30+30 = 60 Degree

For which equation would x = 0 be a solution?


6x = 1/6

4x = -4

(7)x = 0

1,000x = 0.001

Answers

QUESTIONS:- For which equation would x = 0 be a solution?

ANSWER:- (7)x = 0

as 7x= 0

x=0 ANSWER

How far should Galileo walk up the inclined plane?

Answers

Answer:

Suppose Galileo should walk x meters on 15 degree inclined plane, and then he will get the 150 meter altitude and he could perform his experiments with the balls

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