7 1/3 x 7/11
simplify the answer completely and change to a mixed number

Given that the shape of the graph is curved, the rate of change can be

estimated by using the average value between specified points.

The points are;

Reasons:

The coordinates of the points marked (distances and time) during the walk are;

[tex]\begin{tabular}{|c|c|}Time (seconds), x&Distance from motion detector (meters), y\\0&1\\3&2\\5&4\\6&6\\7&7\\9&8\end{array}\right][/tex]

Required: Identification of two points marked on the graph that define the

interval where Samantha's average rate of change was 2/3 meters per

second.

Solution:

The average rate of change between two points is given by the ratio of

difference in the distance from the motion detector to the difference in

time between the points.

[tex]\displaystyle Average \ rate \ of \ change = \frac{Change \ in \ distance}{Change \ in \ time} = \mathbf{ \frac{\Delta y}{\Delta x}}[/tex]

At the required points, the change in the y-values, will be 2 × a, while the

corresponding change in x-values will be 3 × a, where, a is rational number.

From the above table, at the points where the time is 6 seconds and 9

seconds, we have the following distance time ordered pair;

(6, 6), and (9, 8), from which we have;

[tex]\displaystyle Average \ rate \ of \ change =\frac{\Delta y}{\Delta x} = \mathbf{\frac{8 - 6}{9 - 6}} = \frac{2}{3}[/tex]

Therefore;

The points [tex]\underline{(6, \, 6)}[/tex], and [tex]\underline {(9, \, 8)}[/tex], are two points that represent an interval

where her average rate of change was 2/3 meters per second.

Learn more about average rate of change of a graph here:

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Answer:

[tex]\boxed{\sf x\ge \:-1}[/tex]

Step-by-step explanation:

[tex]\sf 4x\ge \:-4[/tex]

Divide both sides by 4:

__________________________________

Answer:

wdym???

Step-by-step explanation:

Answer:

1. 4/2

2. -3/5

3. 2/2

4. undefined

5. -5/1

6. zero

7. -4/5

8. 1

9. 0

10. 3/4

11. undefined

12. -9/4

The required slope for the lines is given below.

Given that,
Pot of line and points on the lines are given, we have to determine the slopes of the lines.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Slopes of the line can be given as,
m = [y₂ - y₁ ] / [x₂ - x₁]
for points, (-1, -11), (-6, -7)
m = -7 + 11 / -6 + 1
m = -4/5

Similarly,
Slopes of the line can be calculated as
1.) 4/2  2.) -3/5  3.) 2/2
4.) not defined because the denominator becomes zero or perpendicular to x-axis.
5.) -5/1
6.) zero  because the line is parallel to the x-axis
7.) -4/5      8.) 1   9.) 0  10.) 3/4
11.) not defined because the denominator becomes zero or perpendicular to the x-axis.
12.) -9/4

Thus, the required slope for the lines is given above.

Learn more about slopes here:
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#SPJ2

Answer: x = 14/23

Step-by-step explanation:

3x-6=4(2-3x)-8x

3x-6=8-12x-8x --> Expand 4(2-3x)

3x-6=8-20x --> Collect like terms

3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side

3x=-20x+14

3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side

23x=14

[tex]\frac{23x}{23}=\frac{14}{23}[/tex] --> Divide both sides by 23

x = 14/23

Answer:

d

Step-by-step explanation:

I got it right on my quiz

The chart I've attached is very helpful for these types of problems!

A 270 degree rotation clockwise is (-y, x).

X = 3

Y = -2

V' = (2, 3)

Hope this helps! :)

Step-by-step explanation:

the slope of the line between the first 2 points must be the same as the slope between the second and the third point.

the slope is y difference / x difference.

so,

b/a = d/c

-3/1.6 = d/1.5

d = -3×1.5 / 1.6 = -4.5 / 1.6 = -2.8125

Answer:

Solution given:

slope(m)=4

passes through (x',y')=(-2,5)

we have

equation of a line is:

y-y'=m(x-x')

substituting value we get

y-5=4(x-(-2))

y-5=4(x+2)

y-5=4x+8

y=4x+8+5

y=4x+13 is a required equation of a line.

The formula for the volume of a cylinder is pi * radius squared * height, or πr^2h.

To find the radius of the cylinder, take the given diameter (60 cm) and divide it by 2. 60 / 2 = 30 cm.

Now we need to either find the height in centimeters or find the radius in meters. Because a centimeter is 1/100 of a meter, we multiply the radius by 100 to get the radius in meters.

We also must square the radius. So 30 cm multiplied by itself equals 900 cm.

Radius: 900 / 100 = 9 m

We have to square the radius before plugging it into the equation because it would mess up the numbers if we didn't (0.3 m squared is 0.09 m, which is very small).

Now we can plug these values into the formula for the volume of a cylinder.

π * r^2 * h = π * 9 m * 1.7 m = ~48.066 cubic meters

Rounded to two decimal places is 48.07 cubic meters.

The volume of the tree trunk is about 48.07 cubic meters.

Answer:

4 ounces

Step-by-step explanation:

6c = 24

c = 4

Answer: Noah can use 4 ounces per sandwich

an equation is c=24/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

2005 AMC 8 Problems/Problem 20

Problem

Alice and Bob play a game involving a circle whose circumference is divided by 12 equally-spaced points. The points are numbered clockwise, from 1 to 12. Both start on point 12. Alice moves clockwise and Bob, counterclockwise. In a turn of the game, Alice moves 5 points clockwise and Bob moves 9 points counterclockwise. The game ends when they stop on the same point. How many turns will this take?

$\textbf{(A)}\ 6\qquad\textbf{(B)}\ 8\qquad\textbf{(C)}\ 12\qquad\textbf{(D)}\ 14\qquad\textbf{(E)}\ 24$

Solution

Alice moves $5k$ steps and Bob moves $9k$ steps, where $k$ is the turn they are on. Alice and Bob coincide when the number of steps they move collectively, $14k$, is a multiple of $12$. Since this number must be a multiple of $12$, as stated in the previous sentence, $14$ has a factor $2$, $k$ must have a factor of $6$. The smallest number of turns that is a multiple of $6$ is $\boxed{\textbf{(A)}\ 6}$.

See Also

2005 AMC 8 (Problems • Answer Key • Resources)

Preceded by

Problem 19 Followed by

Problem 21

1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25

All AJHSME/AMC 8 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.

Answer:

1/6([tex]3x^{2}[/tex]+4y)

Step-by-step explanation:

Answer: yes squirrel is ?????

Answer:

D

Step-by-step explanation:

It has to be angle angle angle because angle angle angle cannot be used to prove that any triangles are congruent

Answer:

D

Step-by-step explanation:

angle-angle-angle, isn't a clear way to proof that it's congruent, you can say, it's NEVER a way.

Answer:

Yes.

Step-by-step explanation:

Answer:

no.

Step-by-step explanation:

-4/19 is completely different to 4/-19.

Im not sure how to word it but they are two completely different numbers.

Answer:

24513

Step-by-step explanation:

Answer:

A)  y=x+2

Step-by-step explanation:

We can see that each time x increase by 2, y also increases by 2.  The slope of the line formed by this equation is therefore 1.  But we start out with y = 2, even when x=0.  That's the definition of the y-intercept:  the value of y when x is equal to zero.

The slope-intercept form of a straight line equation is y = mx + b, where m is the slope (1, in this case) and b is the y-intercept (0 in this case).

We have y = 1x + 2, or y = x + 2

Answer:

36

Step-by-step explanation:

It's so obvious lollllll

Answer:

36

Step-by-step explanation:

Answer:

62 cm²

Step-by-step explanation:

The surface area (SA) is the sum of the areas of the 6 faces.

The opposite faces are congruent, then

SA = area of front/ back + area of top/ bottom + area of 2 sides

     = 2(5 × 3) + 2(5 × 2) + 2(3 × 2)

     = 2(15) + 2(10) + 2(6)

     = 30 + 20 + 12

     = 62 cm²

Answer:

No Solution

Step-by-step explanation:

This is impossible. x+1 is not x+2

Variables are always the same: x=x

Answer:

No their isn't

Step-by-step explanation:

Given the function f(x) = log 0.75x

The interval that contains all the x-values must be greater than 1.333

For the function to be positive, the expression 0.75x must be greater than and equal to 1 as shown:

Divide both sides by 0.75

0.75x/0.75 ≥ 1/0.75

x ≥ 1/0.75

x ≥ 1.333

Hence the interval that contains all the x-values must be greater than 1.333

Learn more on inequalities here: https://brainly.com/question/11613554

Answer:

C

Step-by-step explanation:

Step 1: plot your 2 known points, (-2,3) and (1,0)

Step 2: after that, you should see that your y value should be a - and your x a +. You can eliminate A and B.

Step 3: check to see if C is a correct answer, (4,-3)

C is the answer, hope that helps

Answer:

y= 1/2

Step-by-step explanation:

      y=-4 -3y+x

<=> y + 3y = -4 + x

<=> 4y = -4 + 6

<=> 4y = 2

<=> y = 1/2

Answer:

He needs to get $178 to average at least $150.

Step-by-step explanation:

105, 132, 165, 170, and 178 has an average of 150.