A ball was dropped in a height of 81cm.Everytime it hits the ground,it bounces 2/3 of its previous height.What height will the ball have on the forth bounce.​

It's a Quadratic that doesn't have any real roots as the parabola doesn't cross the x-axis.

For graphing:

If you're familiar with the parabola of y=x^2, then you could graph that but just translate it upwards by +4 on the y such that f(x)+4 will be equal to it.

If you aren't, then we know the y-intercept is 4, and that's also the point of the minimum point of the curve. If I were you, I'd write a table of some of the integer values:

x y

-2 8

-1 5

0 4

1 5

2 8

The value of y is the same for x and -x as anything squared is positive.This means that there is a line of symmetry in the y-axis.

This then makes it much easier to graph, simply place these points on the graph and make sure the curve is exponential. This means the gradient (steepness) gets greater the bigger the value of x.

Answer:

-1.2; -0.67; -2/5; 1/2; 0.54

Step-by-step explanation:

because there are negative numbers, we put those first. the bigger the number behind the negative is, the smaller it is

-1.2 is the only negative with a ones place so it goes first

-0.67 comes right before -2/5, or -0.4

then we move into the positive numbers: 1/2 and 0.54

1/2 is 0.5, which is less than 0.54

so the order is -1.2; -0.67; -2/5; 1/2; 0.54

Answer:

Step-by-step explanation:

This is not a linear function

This is a linear function

This is not a linear function

This is not a linear function

Answer:

C

Step-by-step explanation:

$6500 is a one time purchase so there is no variable attached.

$550 and $900 per week is reoccurring so there will be a variable attached.

Since $900 is what she is making each week, this will be separate from her costs (can eliminate D).

To make a profit, her amount earned will need to be greater than her expenses, so the answer is C.

Answer:

The square root of 196 is 14

Step-by-step explanation:

Prime factorization of 196:

Prime factors of 196 in pairs:

Now square root of 196:

Thus, The square root of 196 is 14

-TheUnknownScientist 72

Answer: [tex]\sqrt{196} =14[/tex]

Step-by-step explanation:

[tex]{\begin{array}{c|c}196 & 2 \\ 98&2 \\49 &7 \\7&7 \end {array }[/tex]         [tex]196=2\cdot 2\cdot 7\cdot 7=2^4\cdot 7^2 \\\\\sqrt{196} =\sqrt{2^2\cdot 7^2} =2\cdot 7=14[/tex]

Answer:

C = 7 + 1.25t

Step-by-step explanation:

7 remains constant

1.25 changes according to t

Answer:

C(t ) = 1.25t + 7

Step-by-step explanation:

We can establish the following equation:

C(t ) = 1.25t + 7

Where:

C(t ) = represents the total cost relative to the t  number of tickets used

t = number of tickets used to play games

1.25 = cost per ticket to play games

7 = flat fee to enter the arcade

Answer:

if it is a right angle triangle then;

step 1   Determine if hypotenuse or side

step 2 calculate a^2+b^2 = c^2  or c^2-b^2 = a^2 if not given hypotenuse.

if it is an obtuse or scalene triangle then

step 1.  Determine the triangle third length we use trigonometry as cos (side a/sideb) to determines the angle between a and b.

With such angle for opposite side we can use sin (angle) x side to find hypotenuse or sin(angle) x hypotenuse to find side.  

Step-by-step explanation:

Net pay for the individual is $132.83

Given that;

Number of hour worked = 27.25

Per hour pay = $5.95

Federal tax deduction = $13.29

Social Security deduction = $9.65

Other deductions = $6.37

Find:

Net pay

Computation:

Net pay = [(27.25)(5.95)] - 13.29 - 9.65 - 6.37

Net pay = [(27.25)(5.95)] - 13.29 - 9.65 - 6.37

Net pay = 162.1375 - 29.31

Net pay = 132.8275

Net pay = $132.83

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Answer:

the first, the third and the last one are true

Step-by-step explanation:

Answer:

The alternate interior angles are 2 and 3

So it's (B)

Answer:

Rational number

Step-by-step explanation:

........

...

Answer:

The phone used 10 minutes to get to 50%, and 20 minutes to full

Answer:

x =  1.56  and x = − 0.56

Step-by-step explanation:

2/3x  - 1/5x  

(2/3 x  5)  -  (1/5 x 3 )

10/15 - 3/ 15

13 / 15x  

show x-1

13 / 15x   =   x - 1     here we cannot set to 0 so multiply the variable by 15x

15x^2

−15x−13 = 0

quad formula   - b+/-   sqrt (b^2 - 4 x a x c )  /2

x =1.556724499   and x =−0.556724499

Answer:

$1.75

Step-by-step explanation:

Answer:

The numbers are:

5, 12 and 4

Step-by-step explanation:

a + b + c = 21       Eq. 1

b = 2a +2             Eq. 2

b = 3c                   Eq. 3

From Eq. 2:

b - 2 = 2a

(b-2)/2 = a              Eq. 4

From Eq. 3:

c = b/3                     Eq. 5

Replacing Eq. 4 and Eq. 5 in Eq. 1:

(b-2)/2 + b + b/3 = 21

3(b-2)/6 + 6b/6 + 2b/6 = 126/6

3(b-2) + 6b + 2b = 126

(3*b + 3*-2) + 8b = 126

3b - 6 + 8b = 126

11b = 126 + 6

11b = 132

b = 132/11

b = 12

from Eq. 4

(b-2)/2 = a

(12-2)/2 = a

10/2 = a

a = 5

from Eq. 5

c = b/3

c = 12/3

c = 4

Check:

from Eq. 1

a + b + c = 21

5 + 12 + 4 = 21

We are asked to find the distance Louise cycled.

Speed Louise cycled = 12 mph

Time = 11: 30 am to 12 : 15 pm

= 45 minutes

Convert 45 minutes to hour

60 minutes = 1 hour

45 minutes = 3/4 hour

Speed = Total distance ÷ Total time taken

Distance = Speed × Time

= 12 mph × 3/4 hour

= 36 / 4

= 9 miles

Therefore, the total distance Louise cycled is 9 miles

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Answer:

6

Step-by-step explanation:

Given that f(3), x=3.

Since f(x) = 2x, we plug in 3 for x, and get 2 times 3. Therefore, the answer comes out to 6.

When f(3)

Then we have:

3=2x

Now we divide by 2 (on both sides)

and are left with

x = 1.5

Hope this helps :)

Answer:

between 180 and 365 cuz it's a reflex angle

Answer:

3rd option

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y = [tex]\frac{2}{5}[/tex] x - 6 ( multiply through by 5 to clear the fraction )

5y = 2x - 30 ( subtract 5y from both sides )

0 = 2x - 5y - 30 ( add 30 to both sides )

30 = 2x - 5y , or

2x - 5y = 30 ← in standard form

Answer:

I hope this helps.

Step-by-step explanation:

Answer:

1. -.2x

2. -.2x

3. -27

Step-by-step explanation:

First add -.65x and .45x to get -.2x then divide 5.4 by -.2 to get x alone and you get x=-27

Answer:

sit near th front of the room so you dont have distractions take a sweater or sweatshirt extra pencils(No2) stay focused if you get bored skip a few questions forward then come back see if you can bring some water and get a graphing calculator

Step-by-step explanation:

Answer:

Step-by-step explanation

So mean is average

So total 26 hours studied

and there are 20 students

so 26/20

= 1.3

Answer:Is there a picture?

Step-by-step explanation:

Answer:

The WRTX is 8, 8 is not a prime number, so I believe this would be false.

Step-by-step explanation:

Answer:

Total volume equals V1 - V2

[tex]v = \pi {r}^{2} h[/tex]

[tex]v = 12\pi {r1}^{2} - 12\pi {r2}^{2} [/tex]

where:

r1 = radius 1

r2 = radius 2

Step-by-step explanation:

[tex]r1 \\ v1 = 12\pi {3.5}^{2} \: is \: approx. \: 461.81 {cm}^{3} [/tex]

[tex]r2 \\ v2 = 12\pi {3.3}^{2} \: is \: approx. \: 410.54 {cm}^{3} [/tex]

Total Volume v is

[tex]461.81 - 410.54 = 51.27 {cm}^{3} [/tex]

Answer:

to find range of interquartile sets of data

you see 5 vertical lines 1 is start point 2 is start of 2nd quartile 3 is start of 3rd quartile and also represents the median.  the 4th start of 4th quartile and 5th is very end point.

Therefore the interquartile is from start line 2 to start line 4

apply to each by if it says 10 and 34 then we show workjings 34-10 = 24 and that is the range once we deduct data from each other.

Therefore full range is start line 1 to end line 5

if this says 2 to 45 then full range is 45-2 = 43 and apply to each boxplot.

Step-by-step explanation:

tan ? = 22/48

tan ? = 11/24

tan ? = 0.4583

? = 24.62 degrees ( approximately )

[tex]\tan(?)=\dfrac{22}{48} \\\\ ?=\arctan\dfrac{22}{48} \approx24^{\circ}[/tex]

Answer:

2.15

Step-by-step explanation:

substitute using elimination method and divide ur answers together.

Answer:

$3589.60

Step-by-step explanation:

Salary per fortnight {52 weeks in a year; 2 weeks in a fortnight}

= 86840 / 52 × 2

= 3340

Allowance per fortnight = 124.80 × 2 = 249.60

Therefore, total fortnightly pay is:

3340 + 249.60 = 3589.60