An object has a mass of 17 grams.

What is its weight in ounces?

Use 1 ounce=28.35 gram to write the conversion facto

Let's consider an exponential decay function.

As an example, let's look at [tex]f(\text{x}) = 100(0.5)^{\text{x}}[/tex]

Here is a table of selected values:

[tex]\begin{array}{|c|c|} \cline{1-2}\text{x} & \text{f(x)}\\\cline{1-2}0 & 100\\\cline{1-2}1 & 50\\\cline{1-2}2 & 25\\\cline{1-2}3 & 12.5\\\cline{1-2}4 & 6.25\\\cline{1-2}5 & 3.125\\\cline{1-2}6 & 1.5625\\\cline{1-2}\end{array}[/tex]

As x gets bigger, y = f(x) is slowly approaching y = 0. It will never get to this exact value because we keep taking half of the previous y value (eg: we go from y = 25 to y = 12.5); there's no way to arrive at zero through this continuous halving process. If x/2 = 0, then x itself must be 0. But we started off with a nonzero value.

Visually, the curve is slowly approaching the x-axis. We say that the horizontal asymptote is y = 0 which is directly overlapping the x-axis. Think of the asymptote as an electric fence you can get closer to but not actually touch.

See the graph below. I used Desmos to create the graph.

4/9                   or it would be 0.444444 and so on but the answer is 4/9

Answer:

a

Step-by-step eaxplanation:

Answer:

31

Step-by-step explanation:

20 x 155= 3100

3100/100 = 31

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{9000})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{3000}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3000}-\stackrel{y1}{9000}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies \cfrac{ -6000 }{ 2 } \implies - 3000[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{9000}=\stackrel{m}{- 3000}(x-\stackrel{x_1}{2}) \\\\\\ y-9000=-3000x+6000\implies {\Large \begin{array}{llll} y=-3000x+15000 \end{array}}[/tex]

Answer:

A = -5/3

B = 52

C = 13

D = -2

Step-by-step explanation:

I recommend using Photomath. It both solves such math problems and also provides explanations!

Answer:

A = -5/3

B = 52

C = 13

D = -2

Answer:

98

Step-by-step explanation:

8 + (2 x 5) x 3^4 / 9

= 8 + (10) x 81 / 9

= 8 + 10 x 9

= 8 + 90

= 98

Answer:

Step-by-step explanation:

-1/2 + 1/3

(-3 + 2)/6

- 1/6

-3 1/5 + -6 1/2

-9 + (2+5)/10

-9 7/10

5/8 - (-2/8)

5/8 + 2/8

(5+2)/8

7/8

-9/10 - 2/5

(-9-4)/10

-13/10

6 3/5  + 2 1/5

8 + (3+1)/5

8 4/5

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

-1/2 + 1/3

(-3 + 2)/6

- 1/6

-3 1/5 + -6 1/2

-9 + (2+5)/10

-9 7/10

5/8 - (-2/8)

5/8 + 2/8

(5+2)/8

7/8

-9/10 - 2/5

(-9-4)/10

-13/10

6 3/5  + 2 1/5

8 + (3+1)/5

8 4/5

Answer:

[tex]C = 0.10n[/tex]

Step-by-step explanation:

If you study the graph you will see that there is no cost for producing zero gadgets. Cost = $0

For 100 gadgets the cost is $10

For 200 gadgets the cost is $20

etc

So the cost in $ is 1/10 times the number of gadgets

For 1 gadget, it costs [tex]\$\dfrac{1}{10}[/tex] or $0.10

For n gadgets it should cost $[tex]0.1n[/tex] same as [tex]\$\dfrac{n}{10}[/tex]

Mathematically speaking the graph represents the equation of a straight line which is of the form

y = mx + b

where y represents the vertical axis and x the horizontal axis

The variable m represents the slope of the line which is the increase of y for every unit increase in x.

The slope, m can be determined by using the formula [tex]\displaystyle \dfrac{y2-y1}{x2-x1}[/tex] where x1, y1 and x2, y2 are two points on the graph

This is also called rise/run

b is called the y-intercept and it represents the value of y where the line crosses the vertical axis

The difference here is that instead of y, we are using C as the variable for the vertical(y) axis and n as the variable for the horizontal(x) axis

So we get the modified equation as
C = m·n + b

We can see that when n = 0, C = 0 so b = 0 because the vertical intercept is zero

To calculate m, take any two points on the line

I choose (0, 0) and (100,10)

[tex]\rm Slope \;m = \dfrac{10-0}{100-0} = \dfrac{10}{100} = \dfrac{1}{10} = 0.10\\\\[/tex]

This means that for every gadget produced the cost will increase by $0.10

The equation becomes C = 0.10n + b and since b is 0 we get

[tex]C = 0.10n[/tex]

Answer:

[tex]y = \boxed{5}x + \boxed{9}[/tex]

Step-by-step explanation:

Answer: 19/45

Step-by-step explanation:

1/5 + 2/9 = ?

Find the least common denominator.

which in this case is 45

5 times 9 = 45

Multiply 1/5 by 9/9

Multiply 2/9 by 5/5

9/45 + 10/45= 19/45

Answer: here

Step-by-step explanation:

8 (1.25) x = 15 8(1.25)^x=15 8 (1.25) x = 15. There are two ways: by using a graph or by using a table. Here, I will use a graph since using a table was already discussed

Using a graphing calculator the value of x is sought by tracing from point 15 up to the curve, at the point of intersection with the curve then trace to the corresponding y direction. At 15 the f(x) is about 227

A curve that depicts an exponential function is known as an exponential graph.

The curve have a horizontal asymptote and either an increasing slope or a decreasing slope. this is to say that the curve begins as a horizontal line, increases or drops gradually, and then the growth or decay accelerates. It may or may not cut the x-axis, but it always cuts the y-axis at some point.

An exponential graph will almost always have a y-intercept but not necessarily an x-intercept.

The corresponding value of each point is located by tracing it using imaginary line

From the x axis at 15  draw an imaginary line up to the curve. the point of intersection of the line and the curve is traced to the y axis. The value at that point gives the required the solution

The graph is attached

Learn more about exponential function here:

https://brainly.com/question/29634879

#SPJ1

Answer:

The given point is not on the line.

Step-by-step explanation:

3 represents x

3 represents y

1. Plug in the numbers to x and y variables

y= [tex]-\frac{2}{3}[/tex] x + 1

3= [tex]-\frac{2}{3}[/tex] (3) + 1

2. Cancel out the greatest common factor

3=-2+1

3. Solve

3=-1

If the numbers do not equal each other, then the equality is false.

Step-by-step explanation: 1. Plug in the numbers to x and y variablesy=  x + 13=  (3) + 1

2. Cancel out the greatest common factor 3=-2+13. Solve3=-1

Hello,

The sales tax for a camcorder that costs $588 would be $588 * 0.045 = $26.46. Therefore, the total price would be $588 + $26.46 = $614.46.

The answer is: $614.46

Please give this answer 5 stars and brainliest if you find it helpful.

Happy Holidays!

Answer:

Area is measured in square units because it has two dimensions: length and width

Answer:

Eight 6-packs

Step-by-step explanation:

6-pack of hot dogs for 5.10$

8-pack of hot dogs for 6.88$

To figure out the answer, we compare the prices:

The price of six 8-packs is $41.28 ($6.88 x 6)

The price of eight 6-packs is $40.80 ($5.10 x 8)

As we can see, the cheaper option would be to buy eight 6-packs, which is our answer.  

Answer:

y = 2x + 4/5

Step-by-step explanation:

Slope-intercept form is written as:

y = mx + b, where (x,y) is a point on the line, m is the slope, and b is the y-intercept.

To get 10x - 5y = -4 into the form y = mx + b, you'll first want to get y by itself. You can start by subtracting 10x from both sides.

10x - 5y = -4

-5y = -10x - 4

As you can see, y still has a coefficient of -5 in front of it, so we'll have to divide the entire equation by -5 (you have to divide each term individually).

-5y = -10x - 4

y = 2x + 4/5

Answer:

B

Step-by-step explanation:

a angle is not the same thing as a triangle and so therefore the lines at the end do not need to be connected.

slope intercept form: y = mx + b where m = slope and b = y-intercept.

you know that:

m = 6

y-intercept = 6

slope intercept form: y = 6x + 6

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. False

2. True

3. True

4. False

Answer:

1. false

2. true

3. false

4. false

Step-by-step explanation:

Answer: y = 9x+ 8

Step-by-step explanation:

The slope intercept form is y=mx+b

m = slope

b = y-intercept (0, 8)

-26 Is the answer.

____________________

First you have to do: 10 - 11 = -1

Then its -1 - 12 or -1 + -12 (same thing) = -13

After that, do -13 + -13 = -26.

Answer:

(-7.8)^5 or approx. -28871.74368

Step-by-step explanation:

9 - 4 = 5

(-7.8)^5 = approx. -28871.74368

slope intercept form is: y = mx + b

where: m = slope and b = y-intercept.

slope = 5 and y-intercept = 5

y = 5x + 5

Answer:

1x+5

Step-by-step explanation:

????

Answer:x =4/5

Step-by-step explanation:

{3}{4}x=-3+3x

Answer: x < -1

Step-by-step explanation:            Simplify   3/4

3                        

 ((— • (-8x - 4)) -  2x) -  5  > 0

   4                        3.1     Pull out like factors :

  -8x - 4  =   -4 • (2x + 1)

 (-3 • (2x + 1) -  2x) -  5  > 0
5.1     Pull out like factors :

  -8x - 8  =   -8 • (x + 1)