MATHEMATICS HIGH SCHOOL

Write these values in order, starting with the smallest.
0.2
1/2
2%

Answers

Answer 1

Answer:

Step-by-step explanation:

In this case we need to arrange the given number in a order starting with the smallest.

First number is 0.2

Second number is 1/2

Third number is 2%

Firstly, we need to convert these number in same form i.e. decimal form.

1/2 can be written as 0.5

2% can be written as $(2)/(100)=0.02$

Now, it is required to arrange these number from smallest to largest. So,

0.02 is the smallest number and 0.5 is the largest number.

Order is : 0.02, 0.2, 0.5

Related Questions

What multiplies to -9 and adds to 8
System Of Equations Elimination Method1. -3x+10y=11, -8x+2y=-202. 4x+16y=-19, -8x+2y=103. 2x+6y=-2, -x+2y=64. -8x-y=-13, 5x-3y=-105. -4x+6y=4, -x+8y=16. -x+y=-5, 7x-3y=237. -9x-5y=26, 4x-4y=-24
Express v in terms of t
5y-intercept = -5Slope =T3'DO
Please help with this question. I would appreciate it!

Consider the population of florida , the area of colorado, and the flight time from philadelphia to san francisco, which of these has a value that varies.

Answers

Answer:

the population of Florida

Step-by-step explanation:

A value that varies means a value that shall change over a period of time.

Accordingly when we talk about population the population shall increase or decrease with time, as this the natural thing that new babies are born and at the same time people also die.

Even in Florida there will be new babies who are born and also there shall be people who might be dying. Accordingly the population count keeps on changing.

The flight time depends upon the aerial distance and the speed which generally remains same.

Accordingly if a flight takes hours to travel the distance it will be same.

The area of a particular place shall not change as earth will not create new land, or the area will remain same by any how only exception to this is acquisition of land of neighbouring places, by war or political influence, but not in a natural manner.

Thus, population of Florida is variable.

Final answer:

The flight time from Philadelphia to San Francisco varies.

Explanation:

The subject of the question is a comparison of three different values: the population of Florida, the area of Colorado, and the flight time from Philadelphia to San Francisco. Out of these three, the value that varies is the flight time from Philadelphia to San Francisco.

This is because the population of Florida remains relatively constant over time, while the area of Colorado also remains the same. However, the flight time from Philadelphia to San Francisco can vary based on factors such as weather conditions, air traffic, and flight routes.

For example, if there are strong headwinds, it may take longer to fly from Philadelphia to San Francisco compared to a day with favorable tailwinds.

Learn more about Variation here:

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If y=2 when x=3. What is the value of y when x=9?

Answers

because x was *3 you had to y*3 which is
y=6

y = 2
x = 3

If x = 9, = x * 3

Thus, y * 3 = 6.

Thus, y = 6.

The length of a rectangle is 3 inches more than its width. The area of . the rectangle is 40 square inches. What is the length, in inches, of the . rectangle?. (1) 5 (2) 8 (3) 8.5 (4) 11.6

Answers

Let's say W=the width of the rectangle

if width times length equals the area, then...

W x (3+W)=40
Length = 8
Width = 5
I started by factorising 40:
2, 2, 2, 5.
Then you just find a way to arrange those numbers that works

Area of a rectangle=lenght x width.
width=x
length=x+3
we can suggest this equation:
x(x+3)=40
x²+3x=40
x²+3x-40=0
we solve this square equation:
x=[-3⁺₋√(9+160)] / 2
x=(-3⁺₋13)/2
we have two solutions:
x₁=(-3-13)/2=-8 this solution isn´t valid.
x₂=(-3+13)/2=5

lenght=x+3=5+3=8

Answer: the lenght, in inches, of the rectangle is 8 .
(2) 8

Suppose y varies directly with x, and y = 8 when x = –6. What direct variation equation relates x and y? What is the value of y when x = –2?A. y = –0.75x; 1.50
B. y = –1.33x; 2.67
C. y = 1.33x; –2.67
D. y = 0.13x; –0.25

Answers

Given:
y varies directly with x
y = 8 when x = -6

what is the value of y when x = -2?

y = kx

we need to get the constant of variation.
8 = k(-6)
8/-6 = k
4/-3 = k or - 1 1/3

y = -4/3 (-2)
y = (-4*-2) / 3
y = 8 / 3
y = 2 2/3 OR 2.67

The correct answer is Choice B. y = -1.33x ; 2.67

Find a quadratic model for the set of values: (-2, -20), (0, -4), (4,-20) Show your work

Answers

For this case, the quadratic function in its generic form is given by:

We must find the values of the coefficients.

For this, we evaluate the given points.

For (0, -4):

For (-2, -20):

For (4, -20):

Therefore, for the values of a and b we have the following system of equations:

Resolving graphically (see attached image) we have:

Then, the quadratic model is:

Answer:

a quadratic model for the set of values is:

$y = -2x ^ 2 + 4x - 4$

A quadratic function:
$y=ax^2+bx+c$

First, take the point (0,-4) and plug the values (x,y) into the equation:
$-4=a * 0^2+b * 0 +c \n-4=c$

So the equation is $y=ax^2+bx-4$ .

Now plug the values of the other two points into the equation and set up a system of equation:
$-20=a * (-2)^2+b * (-2)-4 \n-20=a * 4^2+b * 4-4 \n \n-20+4=4a-2b \n-20+4=16a+4b \n \n-16=4a-2b \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ | / 2 \n-16=16a+4b \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 4 \n \n-8=2a-b \n\underline{-4=4a+b} \n-12=6a \n(-12)/(6)=a \na=-2 \n \n-8=2a-b \n-8=2 * (-2)-b \n-8=-4-b \n-8+4=-b \n-4=-b \nb=4$

The function is:
$\boxed{y=-2x^2+4x-4}$

What is the value of the system determinant for the following system of equations? 6x + y = 4 5x + y - 7 = 0