59 out of 95 students are going on a field trip. What is the ratio of the number of students who are staying at school to the number of students who are going on the field trip?

Answer:

g(x), f(x) and h(x)

Step-by-step explanation:

Given

Interval: (0,3)

See attachment for functions f(x), g(x) and h(x)

Required

Order from fastest to slowest decreasing average rate of change

The average rate of change is calculated as:

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

In this case:

[tex](a,b) = (0,3)[/tex]

i.e.

[tex]a = 0\\b=3[/tex]

For f(x)

[tex]f(x) = 16(\frac{1}{2})^x[/tex]

[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]

[tex]Rate = \frac{f(3) - f(0)}{3 - 0}[/tex]

[tex]Rate = \frac{f(3) - f(0)}{3}[/tex]

Calculate f(3) and f(0)

[tex]f(x) = 16(\frac{1}{2})^x[/tex]

[tex]f(3) = 16(\frac{1}{2})^3 = 16 * \frac{1}{8} = 2[/tex]

[tex]f(0) = 16(\frac{1}{2})^0 = 16 * 1 = 16[/tex]

So:

[tex]Rate = \frac{f(3) - f(0)}{3}[/tex]

[tex]Rate = \frac{2 - 16}{3}[/tex]

[tex]Rate = -\frac{14}{3}[/tex]

For g(x)

[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]

[tex]Rate = \frac{g(3) - g(0)}{3 - 0}[/tex]

[tex]Rate = \frac{g(3) - g(0)}{3}[/tex]

From the table of g(x)

[tex]g(3) = 1[/tex]

[tex]g(1) = 27[/tex]

So:

[tex]Rate = \frac{1 - 27}{3}[/tex]

[tex]Rate = -\frac{26}{3}[/tex]

For h(x)

[tex]Rate = \frac{h(b) - h(a)}{b - a}[/tex]

[tex]Rate = \frac{h(3) - h(0)}{3 - 0}[/tex]

[tex]Rate = \frac{h(3) - h(0)}{3}[/tex]

From the graph of h(x)

[tex]h(3) = -3[/tex]

[tex]h(0) = 4[/tex]

So:

[tex]Rate = \frac{-3 - 4}{3}[/tex]

[tex]Rate = -\frac{7}{3}[/tex]

So, the calculated rates of change are:

[tex]f(x) = -\frac{14}{3}[/tex] [tex]= -4.67[/tex]

[tex]g(x) = -\frac{26}{3}[/tex] [tex]=-8.67[/tex]

[tex]h(x) = -\frac{7}{3}[/tex] [tex]=-2.33[/tex]

By comparison:

From the fastest decreasing to slowest, the order is: g(x), f(x) and h(x)

Answer: IN THIS ORDER!!   g(x), f(x), h(x).

Answer:

190.9

Step-by-step explanation:

Answer:

just delete this

Step-by-step explanation:

Answer:

x = 57.2

Step-by-step explanation:

Equation:

32.8 + x = 90

x = 90 - 32.8

x = 57.2

Answer:

y= x-3

Step-by-step explanation:

use the slope formula which is y= m(slope)x + b(y intercept)

The slope is one, so you can just leave it as x, and the y intercept is -3 so you can plus that into the b.

Hope this helps :)

Answer:

After the 8th city is built there will be 28 roads between the cities

Step-by-step explanation:

The given parameters are;

The number of cities initially on the island = 7 cities

The number of roads between each 2 cities = 1 road

Therefore, we have the number of roads between the 7 cities are;

7 cities taking 2 at a time = ₇C₂

[tex]_7C_2 = \dfrac{7!}{(7 - 2)!\cdot 2!} = 21[/tex]

The initial number of roads between the 7 cities = 21 roads

The number of roads, 'n' there will be after the 8th city is built is therefore;

[tex]n = _8C_2 = \dfrac{8!}{(8 - 2)!\cdot 2!} = 28[/tex]

The number of roads there will be after the 8th city is built, n = 28 roads.

Answer:

A coin toss

Step-by-step explanation:

if you flip one coin repeatedly like 10 to 10000 it can be 0.5

Answer:

3/4 x 6=18/4

Step-by-step explanation:

Reduce fraction to lowest terms

18 over 4

18 /4

= ( 18 ÷ 2 ) over ( 4 ÷ 2 )

18 ÷ 2

4 ÷ 2

= 9 over 2

9 /2

2 is the greatest common divisor of 18 and 4. Reduce by dividing both numerator and denominator by 2.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

9 over 2

9 /2 = 4 and 1 over 24

1 /2

9 ÷ 2 = 4 remainder 1

Answer:

7 and a half minutes

Step-by-step explanation:

this is because 15 is 1/4 of a hour and 7 and a half is half of 15 if you spend 7 and a half on all homework assignments you will use up 45 minutes or 3/4 of a hour

Answer:

5

Step-by-step explanation:

5

Answer:

I do believe that it is B.

Sorry I don't have much of an explanation.

no

Hope this helps

:T

:B

:D

From what we have, x can equal 12

4x > 20

20/4 = 5

x > 5

12 > 5

Answer:

9 ≤ x ≤ 7

Step-by-step explanation:

2x – 3 ≤ 11 or –8x – 10 ≤ – 82

We shall determine the value of x in both case.

2x – 3 ≤ 11

Collect like terms

2x ≤ 11 + 3

2x ≤ 14

Divide both side by 2

x ≤ 14/2

x ≤ 7

–8x – 10 ≤ – 82

Collect like terms

–8x ≤ – 82 + 10

–8x ≤ – 72

Divide both side by –8

x ≤ – 72 / –8

x ≥ 9 (since we divided by a negative sign)

9 ≤ x

Combining both answers

x ≤ 7

9 ≤ x

Thus,

9 ≤ x ≤ 7

Answer:

[tex]Area: 29 cm^{2}[/tex]

Step-by-step explanation:

[tex]Aear=(8.5+6)(\frac{4}{5} )[/tex]

[tex]Area=14.5 (2)[/tex]

[tex]Area=29[/tex]

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

hope it helps...

have a great day!!

Answer:

Step-by-step explanation:

Use Quadratic Formula to solve Real Life Quadratic Equation Problem.

Kaylani is going to make a blanket by sewing a 4-foot long piece of ribbon along the diagonal of a piece of rectangular fabric. She wants the length of the blanket to be 18 inches longer than the width. What is the approximate perimeter of the blanket? Round to the nearest inch.

Answer:

y=1/4x-1

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

12 combinations are possible in this scenario. Shirts. Pants

blue 1 blue 2khaki 3black

grey 4 blue. 5khaki 6black

white 7 blue 8khaki 9black

orange 10blue 11khaki 12black

blue/blue are the only matching items so 1/12 chance

Answer:

1/12

Step-by-step explanation:

Answer:

wheres the question

Step-by-step explanation:

Answer: 2.1 Pints

Step-by-step explanation:

Given

Areli uses 8.4 Pints of blue and White Paint

If the three-fourth is blue paint i.e.

[tex]\Rightarrow 8.4\times \dfrac{3}{4}=6.3\ \text{Pints}[/tex]

The remaining one-fourth is White Paint i.e.

[tex]\Rightarrow 8.4\times \dfrac{1}{4}=2.1\ \text{Pints}[/tex]

Answer:

1) B/ 0.4n = 12; n = 30

2) B/ 125 – x = 58

3) B/ $1.75

Step-by-step explanation:

1) 0.4n = 12

n = 12 ÷ 0.4

n = 30

2) 125 – x = 58

– x = 58 – 125

– x = – 67 ( – & – will get cancelled)

x = 67

a) 125 + x = 58

x = 58 – 125

x = – 67 (pages won't be in negative)

c) 125 ÷ 58 = x

2.15 = x (wrong)

d) 58 – x = 125

– x = 125 – 58

– x = 67

x = 67 ÷ –1

x = – 67 ( pages won't be in negative)

3) 12x = 21

x = 21 ÷ 12

x = 1.75

Answer:

1/6

Step-by-step explanation:

the probability of rolling a 2 is 1/6

Answer:

12

Step-by-step explanation:

A : B

1 : 3

Since we know that B is 3 times of A and A is 4...

1 unit = 4

3 units = 4 x 3 = 12

Answer:

circumference:

2 × 3.14 × 5.8m = the circumference ** (use your calculator here, ill die if I in do this)

Answer:

Divide annual salary minus extra compensation by the number of hours worked per year. For example, if your annual salary minus bonuses, tips and commissions is $30,000 and you work 2080 hours per year, your base salary is approximately $14.42 an hour.

Answer:

297,000 good luck :))!!!

Answer:

4 yuuuhhhgh I have been working

Answer:

Step-by-step explanation:

WX is midsegment

Answer:

A:80 FT

Step-by-step explanation:

just did it