Which exponential function is represented by the table? f(x) = 2(2x) f(x) = 0.8(0.8x) f(x) = 2(0.8x) f(x) = 0.8(2x)

table
-2 0.2
-1 0.4
0 0.8
1 1.6
2 3.2

Answers

Answer 1
The answer is the last option, f(x) = 0.8 * (2^x)

The first strong indicator is that the fourth pair of data (0, 0.8) indicates that f(0) is 0.8

Given that a^0 = 1, means that the coefficient of the function has to be 0.8 and you discard the first and the third options, because for them two f(0) = 2.

AT the end what you have to do is to replace the values of x in equations and compare the results.

So, for the fourt opion you get:

x         f(x) = 0.8 * (2^x)

-2        0.8 * (2^-2) = 0.8 / 4 = 0.2

-1        0.8 * (2^-1) = 0.8 / 2 = 0.4

0         0.8 * (2^0) = 0.8 * 1 = 0.8

1         0.8 * (2^1) = 0.8 * 2 = 1.6

2          0.8 * (2^2) = 0.8 * 4 = 3.2

As you can see this results are the same of the table of the question, so the function is f(x) = 0.8 (2^x).

Related Questions

Translate into a numerical expression

The product of fifteen and negative three decreased by twelve.
The sum of three cubed and four.

Answers

(15*-3)-12
3(with another mini three)+4=?

After translating words to numerical form, it is equal to 135.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the value provided in the question,

Product of 15 and another number.

Another number is negative 3 decreased by 12 which means that (12 - 3) = 9

Product in numeric form = 15 × 9 = 135

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A woman standing on a hill sees a flagpole that she knows is 40 ft tall. the angle of depression to the bottom of the pole is 14°, and the angle of elevation to the top of the pole is 18°. find her distance x from the pole.

Answers

let distance form the pole = x  and height of the hill = y ft

now we can set up 2 equayions 
tan 18 = (40-y)/x
tan 14 = y/x

from second equation y = sxtan14  so we have:-
 tan 18  = ( 40 - x tan 14) /  x

x tan 18 = 40 - x tan 14
x(tan 18 + tan 14) = 40

x   = 40 / (tan18 + tan 14)  =  69.66 feet Answer



A quadrilateral has angles that measure 125°, 115°, and 65°.



What is the measure of the fourth angle?

Answers

the answer is 11 degrees 
Hello! A quadrilateral has 4 angles that equal 360 degrees. You already have three that equal 125 degrees, 115 degrees, and 65 degrees. Those three angles when added up have a sum of 305 degrees. Then, you subtract that number from 360 to find your fourth angle. 360 - 305 = 55. The measurement of the fourth angles is 55 degrees.

Suppose you feel hungry so you reach for a plum you see in a fruit bowl. explain how both external and internal stimuli are involved in your action

Answers

In the given scenario above, the one who will be named as the external stimulus is the action of having to use the sense of sight when you have seen the fruit of bowl. The internal stimulus will be the action of having to feel the hunger.

Solve for x
3(5x + 4) - 20 - 13x = -4

Answers

3(5x+4)- 20 - 13x=-4
expand:
(3×5x) + (3×4) - 20 - 13x=-4
15x + 20 - 20 - 13x = -4
simplify:
15x - 13x + 20 - 20=-4
2x=-4
solve:
2x/2=-4/2
x=-2

Value of x is 2, can be determined by algebraic equation.

What is algebraic equation ?

It’s a equation for of known and not known constant and we have to find the not known constant value .

3(5x+4) - 20 -13x

= - 4 15x + 12 - 20 - 13x

= - 4 2x -8

= - 4 2x

= 8 - 4 2x

= 4 x

= 2

Hence , the value of x will be 2 .

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A basketball has a radius of 12.5 inchesWhat would be the volume of the basketball?

Answers

To Find The Volume Of A Sphere (Basketball) The Formula Would Be V=4/3πr^3 If You Input 12.5 As r Your Radius Your Answer Would Be 8181.23
Final answer:

The volume of a basketball with a radius of 12.5 inches is calculated using the formula for the volume of a sphere (4/3πr³). The result approximates to 8177.083 cubic inches.

Explanation:

The volume of a sphere, like a basketball, can be calculated using the formula 4/3πr³. Here, r is the radius of the sphere. As specified, the radius of the basketball is 12.5 inches. So, we just need to plug that into our formula:

Volume = 4/3 * π * (12.5)^3  , value of  π is 3.14 approximately.

When you calculate the above expression, you'll find the volume of the basketball is approximately 8177.083 cubic inches.

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PLS HELP ME ASAP WITH A-C (CORRECT ANSWERS PLS!!) THANK YOU SM!!!!

Answers

a--> as the distance increases, the weight decreases

b-->(shown in attached picture)

c--> 18ft ~ 5125lbs
30ft ~ 3125lbs
72ft ~ 1250lbs

Two angles in standard position that have the same terminal side are

Answers

An angle is instandard position if its vertex is located at the origin and one ray is on the positive x-axis. The ray on the x-axis is called the initial side and the other ray is called the terminal side.

The width of a rectangle is 8 inches more than the length. The perimeter is 60. Find the length and width of the rectangle.

Answers

The length is 19 in and the width is 11in

Which of the following is not acceptable form of proof

Answers

What are the options following?

neil has 3 partially full cans of white paint. they contain 1/3 gallon 1/5 gallon and 1/2 gallon of paint. about how much paint does neil have in all

Answers

Final answer:

Neil has approximately 21/30 gallon of paint in total.

Explanation:

To find out how much paint Neil has in total, we need to add up the amounts of paint in each can.

The first can contains 1/3 gallon of paint, the second can contains 1/5 gallon of paint, and the third can contains 1/2 gallon of paint.

To add fractions, we need to find a common denominator. In this case, the common denominator is 30. We can convert the fractions to have a denominator of 30 and then add the numerators:

1/3 gallon + 6/30 gallon + 15/30 gallon = 21/30 gallon.

Therefore, Neil has approximately 21/30 gallon of paint in total.

Final answer:

Neil has a total of 31/30 gallons of white paint when his three cans containing 1/3, 1/5, and 1/2 gallon are added together, which is slightly more than 1 gallon.

Explanation:

Neil has three partially full cans of white paint with quantities of 1/3 gallon, 1/5 gallon, and 1/2 gallon. To find the total amount of white paint Neil has, we simply need to add these fractions together. Adding fractions involves finding a common denominator and then adding the numerators.

In this case, the common denominator for 3, 5, and 2 would be 30, so the fractions would be equivalent to 10/30, 6/30, and 15/30, respectively. Now, we add the numerators:

10/30 + 6/30 + 15/30 = 31/30 gallons

So Neil has 31/30 gallons of white paint in total, which is a little more than 1 gallon when converted from an improper fraction to a mixed number (1 gallon and 1/30 of a gallon).

How Do I Solve Question 8 ?

Answers

8)

[tex]\bf \left. \qquad \right.\textit{internal division of a line segment} \\\\\\ A(x,y)\qquad C(12,5)\qquad \qquad AB:BC\qquad 3:4\to \frac{3}{4} \\\\\\ \cfrac{AB}{BC} = \cfrac{3}{4}\implies \cfrac{A}{C}=\cfrac{3}{4}\implies 4A=3C\implies 4(x,y)=3(12,5) \\\\\\ -------------------------------\\\\ { B=\left(\cfrac{\textit{sum of "x" values}}{r1+r2}\quad ,\quad \cfrac{\textit{sum of "y" values}}{r1+r2}\right)}\\\\ -------------------------------\\\\[/tex]

[tex]\bf B=\left(\cfrac{(4\cdot x)+(3\cdot 12)}{3+4}\quad ,\quad \cfrac{(4\cdot y)+(3\cdot 5)}{3+4}\right)=\stackrel{B}{(4,1)} \\\\\\ \left(\cfrac{4x+36}{7}~,~\cfrac{4y+15}{7} \right)=(4,1)\implies \begin{cases} \cfrac{4x+36}{7}=4\\\\ 4x+36=28\\ 4x=-8\\ \boxed{x=-2}\\ ----------\\ \cfrac{4y+15}{7}=1\\\\ 4y+15=7\\ 4y=-8\\ \boxed{y=-2} \end{cases}[/tex]

RS=5y+5, ST=3y+7, and RT=12y-20 what is the value of y?

Answers

since S is a point on the line RT, therefore:
RS+ST = RT
5y+5+3y+7 = 12y-20
separate the variables and solve to get thevalue of y as follows:
5+7+20 = 12y-3y-5y
32=4y
y = 8

substitute in the equation of each line to get its length as follows:
RS = 5y+5 = 5(8)+5 = 45
ST = 3y+7 = 3(8)+7 = 31
RT = 12y-20 = 12(8)-20 = 76

Answer:

-12 or 8

Step-by-step explanation:

Which point best approximates square root of 45

Answers

The square root of 45 is approximately 6.7. So your answer would be C.

Answer:

The point best approximates √45 is C = 6.72

Step-by-step explanation:

We have to show the approximate square value of √45.

By solving √45 = √(5×9) = √5×√9 = 3√5 = 3×2.24 = 6.72

6.72 can be represented as point C on the given number line.

Nicole bought a new TV at Target for $384.87. if the TV was on sale for 25% off and she paid with her red card which earned her another 5% off , and the tax rate is 8.25% what was the original price of the TV ? Be sure to show how you arrived at your answer

Answers

Let x = the original price.

With 25% off, the price drops to
0.75x.
With another 5% off, the price drops to
0.95*(0.75x) = 0.7125x
Add 8.25% tax, and the price goes up to
1.0825*(0.7125x) = 0.7713x

This is equal to the amount paid, so
0.7713x = 384.87
x = 384.87/0.7713 = $498.99

Answer: Original price = $498.99

PLS HELP!!!!
The number line model may be used to simplify which of the following?


A. –1 + 2 = –1

B. –1 + 2 = –3

C. –1 + 2 = 3

D. –1 + 2 = 1

Answers

The answer is D. –1 + 2 = 1

what operation should be performed first to solve this problem?
the Johnson family can fly from Washington DC to London $18 per mile per person. The distance is 3,663 miles. how much will the trip cost if four people go?

A. addition

B. division

C. subtraction

D. multiplication

Answers

The answer is...
D)Multiplication
yes It's D, MULTIPLICATION thank you very much.

please answer all questions thank you.

Answers

1) 78.5/pi = 25
radius = 5
The one 5 digits away from that coordinate is (2,-1)

2) This question is area, not perimeter. The width and length has to be added by 4 because of 2 feet on both sides.
9*10 = 90 - 30 = 60

3) 25pi according to pythagorean theorem.

You have 12 product displays. Six have 4 shelves and six have 3 shelves. It is store policy to dedicate at least one full shelf to each product. What is the maximum number of products you can have?

Answers

The answer to this question is 42

Answer: There are 42 products he can have at maximum.

Step-by-step explanation:

Since we have given that

Number of products displays = 12

Number of shelves six products have = 4

Number of shelves six products have = 3

So, total number of shelves first six products have

[tex]6\times 4=24[/tex]

Total number of shelves next six products have

[tex]6\times 3\\\\=18[/tex]

So, the maximum number of products that he can have is given by

[tex]24+18=42[/tex]

Hence, there are 42 products he can have at maximum.

can anyone please factor this v^3+27

Answers

[tex]v^3+27=v^3+3^3=(v+3)(v^2-3v+9)[/tex]

The expression v^3 + 27 can be factored as a sum of cubes using the formula a^3 + b^3 = (a + b)(a^2 - ab + b^2). In this case, it factors to (v + 3)(v^2 - 3v + 9).

To factor the expression, v^3 + 27, we recognize it as a sum of cubes. The formula for factoring a sum of cubes is:

a^3 + b^3 = (a + b)(a^2 - ab + b^2)

In this case, a = v and b = 3 since 27 is 3 cubed (3^3).

Identify the cube roots of each term

Apply the sum of cubes formula:

Substitute the values into the formula:

Hence, we get v^3 + 27 = (v + 3)(v^2 - 3v + 9)

So, v^3 + 27 factors to (v + 3)(v^2 - 3v + 9).

ABCD is a square. What is the measure of angle BAC?

A. 90°
B. 45°
C. 15°
D. 135°

Answers

a corner in a square is 90%

the angle BAC is half that

90/2 = 45 degrees

Answer:

The correct option is B.

Step-by-step explanation:

Given information: ABCD is a square.

According to the property of square,

1. The measure of all interior angles of the square is 90°.

2. Diagonals are angle bisector.

In the given figure ABCD is square, so

[tex]\angle DAB=90^{\circ}[/tex]

AC is a diagonal of ABCD.

[tex]\angle DAC=\angle BAC[/tex]

We can say that

[tex]\angle DAB=\angle DAC+\angle BAC[/tex]

[tex]\angle DAB=\angle BAC+\angle BAC[/tex]

[tex]\angle DAB=2\angle BAC[/tex]

[tex]90^{\circ}=2\angle BAC[/tex]

Divide both sides by 90.

[tex]\frac{90^{\circ}}{2}=\angle BAC[/tex]

[tex]35^{\circ}=\angle BAC[/tex]

The measure of angle BAC is 45°. Therefore the correct option is B.

Write the equation of the line through the given point. Use​ slope-intercept form.
(-6,1);perpendicular to y= -6/5 x -4

Answers

hello : 
let the slope : a    and ; b the slope of the line : y = (-6/5)x - 4
the line that is perpendicular to(-6/5)x-4  so : a×b = - 1 and b = -6/5
so : a = 5/6

 in slope-intercept form of the equation of the line that is perpendicular
 to is : y = (5/6)x +c
contains (-6,1) : 1 =  (5/6)(-6) +c
c = 6
an equation is : y= (5/6)x + 6

A bread company makes 9 types of bread. A restaurant chain ordered 497 loaves of each kind of bread. How many loaves of bread in total did the restaurant chain order?

Answers

9 types of bread....a restaurant orders 497 loaves of each type

so there are (497 * 9) = 4473 loaves ordered in total

For every 4 miles vanessa jogged cody jogged 3 miles if vanessa jogged 1 miles how far did cody have jogged

Answers

divide 3 by 4 = 3/4 = 0.75

so Cody jogs 3/4 mile for every 1 mile Vanessa runs

Solve for L: S = B + 1/2L

Answers

First get L on the side by itself by subtracting B from both sides. S-B=1/2L. Then multiply both sides by 2. 2S-2B=L

Isolating L, it is found that the solution for L is given by:

[tex]L = 2(S - B)[/tex]

--------------------------

The equation is:

[tex]S = B + \frac{1}{2}L[/tex]

Leaving everything with L on one side, everything without on the other.

[tex]\frac{L}{2} = S - B[/tex]

[tex]L = 2(S - B)[/tex]

Which is the solution for L.

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If it is 10:00 am at your location when it is noon along the prime meridian, what is your longitude

Answers

Every 15 degrees along the line of longitude is equivalent to a time difference of 1 hour.

Given that it is 10:00 am at your location when it is noon along the prime meridian, this means that you are 2 hours behind the prime meridian.

The prime meridian is 0 degrees and you are 2 x 15 = 30 degrees west of the prime meridian.

Therefore, your longitude is 30 degrees west.

What is the measure of FSM

Answers

m<FSM = m<WSU
7x+ 8 = 5x + 32
2x = 24
  x = 12

m<FSM = 7x+ 8 = 7(12) + 8 = 84 + 8 = 92

answer
A 92

The measure of angle FSM 92 degrees.

The given problem can be solved using the concept of Intersecting Lines, specifically the fact that vertical angles are equal.

Here, the angles WSU and FSM form vertical angles at point 'S' as the lines WM and FU intersect at this point.

Given that WSU = (5x+32) degrees and FSM = (7x+8) degrees, since they are vertical angles, we can set them equal to each other.

This gives, 5x + 32 = 7x + 8.

Now, by subtracting 5x from each side, we get 2x = 24.

Thus, dividing by 2 on both sides, we obtain 'x' as 12.

Substitute 'x' values in FSM = (7x+8) degree. So, FSM = (7*12+8) = 92 degrees.

Therefore, the measure of angle FSM is 92 degrees which makes the answer option A. Correct answer.

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The probable question may be:

Line WM and Line FU intersects each other at common point S

The angle between WSU is (5x+32) degree

The angle between FSM is (7x+8) degree

What is the measure of FSM

A. 92degree

B. 93 degree

C. 95 degree

D. 94 degree

Kevin is six years older than his twin sisters. The sum of the three children’s ages is the same as their 42 year old dad’s age. How old are the children?

Answers

Let the age of Kevin be x,

age of twin sisters = x - 6
sum of children's age = x + x - 6 + x - 6
= 3x - 12
3x - 12 = 42
3x = 54
x = 54/3
= 18
age of twin sisters = x - 6
= 18 - 6
= 12

Kevin is 18 years old whereas the twin sisters are both 12 years old.
Final answer:

The question involves solving a basic algebra problem to determine the ages of three children. By setting up an equation based on the given information, we find that each twin sister is 12 years old and Kevin is 18 years old.

Explanation:

The question revolves around finding the ages of three children, Kevin and his twin sisters, given that Kevin is six years older than his twin sisters and the sum of their ages equals their father's age, who is 42 years old. First, let's denote the age of each twin sister as x. Since Kevin is six years older, his age will be x + 6. The sum of their ages equals their father's age, which is given as 42 years. Therefore, the equation to find their ages will be:

[tex]x + x + (x + 6) = 42[/tex]

This simplifies to:

3x + 6 = 42

Subtracting 6 from both sides gives:

3x = 36

Dividing by 3:

x = 12

So, the age of each twin sister is 12 years, and Kevin's age is 12 + 6 = 18 years.

Convert 26.2 mi to kilometers using 1 mi = 1.6 km.

Answers

1mile=1.6 kilometer
26.2miles=26.2*1.6=41.92 kilometers
41.92 is the answer brainiest pls

please answer this question today itself

Answers

see attached picture for answer:
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