What are all the common factors for 8,16,and 32?

The primeter of a rectangle is 53 meters. The length is 2.3 meters longer than the width, w. Write and solve an equation to ind

lys-0071 [83]

The perimeter is the total of adding all of the sides together. A rectangle has 2 lengths and 2 widths. The equation would be:

P = 2l + 2w or P = l + l + w + w

Since you know the perimeter, you can plug it into the equation

53 = 2l + 2w

You can divide the 2 on both sides

26.5 = l + w

l = w + 2.3 because the length is 2.3 meters longer/more than the width. You can substitute (w + 2.3) for "l" in the equation. So instead of:

26.5 = l + w

It will be:

26.5 = (w + 2.3) + w

26.5 = w + 2.3 + w

Subtract 2.3 on both sides

24.3 = w + w

24.3 = 2w

Divide 2 on both sides

12.1 = w

The width is 12.1 meters

6 0

2 years ago

Let’s work with some actual data this time. Go online to research and find a set of real-world data in two variables. The data c

slega [8]

The quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x + 1369.14

<h3>The data points </h3>

The following table of values represents the data points that would be used to solve this question:

x 3 4 5 6 7 8 9

y 470 416 403 226 314 338 693

Where:

x represents years since 2000
y represents the annual revenue of a manufacturing company in thousand dollars

<h3>The function of the dataset</h3>

The table of values illustrates a quadratic function.

The function would be calculated using a graphing calculator

From the graphing calculator, we have:

a = 32.86; b = -379.14 and c = 1369.14

A quadratic regression equation is represented as:

y = ax² + bx + c

So, we have:

y = 32.86x² - 379.14x + 1369.14

Hence, the quadratic regression equation that best fits the data set is y = 32.86x² - 379.14x + 1369.14

<h3>Why the function type was chosen?</h3>

From the table of values in (a), we can see that as x increases; the value of y decreases and then increases after it reaches a minimum.

This illustrates the behavior of a quadratic regression function

See attachment for the scatter plot

Read more about quadratic regression equation at:

brainly.com/question/14786188

#SPJ1

5 0

1 year ago

Choose three intervals on the real number line that contain both rational and irrational numbers. Do you think that any given in

Helen [10]

Any real number line ranges from negative infinity to positive infinity. A real number number line consists of all the rational and irrational numbers. Let us take three intervals which contain both the rational and irrational numbers.

First interval: [3,4]

Since every integer is a rational number, 3 and 4 are both rational. In this interval there occurs the value of π (3.14159..) which is an irrational number.

Second interval : [0,2]

0 and 2 are integers and hence are rational. In this interval, occurs √2 (1.41421...) is an irrational number.

Third interval : [2,3]

In this interval, Eulers number 'e' lie whose value is (2.718281.. )

Hence we can conclude that, there occurs an irrational number between any two rational number.

3 0

2 years ago

What is 8 times a half?

xz_007 [3.2K]

Answer:

4

Step-by-step explanation: