If you have 24 square pieces of wood, describe all the different ways you could make a rectangle by placing them side by side.

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Write an equation of the line in​ point-slope form that passes through the given points. (1,4) and (2,8)
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Write the number in standard notation 6.43 x 10 ^-4

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The number 6.43 * 10^(-4) in standard notation is 0.000643.

In scientific notation, numbers are expressed in the form of a * 10^b, where a is a decimal number between 1 and 10 (inclusive), and b is an integer that represents the power of 10 by which a is multiplied.

For the number 6.43 * 10^(-4):

The decimal number a is 6.43. It is greater than or equal to 1 but less than 10, as it falls within the range [1, 10).

In this case, a is 6.43.

The exponent b is -4.

This indicates that the decimal number a is multiplied by 10 raised to the power of -4.

To calculate the value of the number in standardnotation, we perform the multiplication:

6.43 * 10^(-4) = 6.43 * 0.0001

Now, we can simplify the multiplication:

6.43 × 0.0001 = 0.000643

Hence, the number 6.43 * 10^(-4) in standard notation is 0.000643.

To learn more on Number system click:

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What is the approximate area of the circle? Use 3.14 = Pi

A. 122.7 m²
B. 78.5 m²
C. 39.3 m²
D. 19.6 m²

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what is the diameter or radius?

a line passes through (9, –9) and (10, –5).write an equation for the line in point-slope form. rewrite the equation in standard form using integers. y 9 = (x – 9); –4x y = –45 y 9 = (x 9); –4x y = –45 y – 9 = (x 9); –4x y = 45 y – 9 = (x – 9); –4x y = 45

Answers

The equation of the line in point-slope form is given by:
 y-yo = m (x-xo)
 Where,
 (xo, yo): point that belongs to the line
 m: slope of the line
 The slope is given by:
 m = (y2-y1)/(x2-x1)
 Substituting values:
 m = (-5-(-9))/(10-9)
 Rewriting:
 m = (-5+9)/(10-9)
 m = (4)/(1)
 m=4
 Now we choose an ordered pair:
 (xo, yo) = (10, -5)
 Substituting values we have:
 y-(-5)=4(x-10)
 y+5=4(x-10)
 We now rewrite the equation in its standard form:
 y = mx + b
 Where,
 b: cut with the y axis.
 We have then:
 y = 4x - 40 - 5y = 4x - 45
 Answer:
 point-slope form:
 y+5=4(x-10)
 or
 y+9=4(x-9)
 standard form
 y = 4x- 45

Answer:

The answer is y+9=4(x-9); -4x+y=-45

Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which inequality represents h, the number of hours she worked on Monday?15h+9<110

15h+9>110

9h+15<110

9h+15>110

Answers

Let h = number of hours she worked on Monday
Given that she makes $9 per hour, it is 9 x h or 9h.
If her tips is a fixed 
$15 amount, then we simply add 15.
9h + 15
This expression above is the amount she made last Monday.
Since she made no less than 
$110, meaning she made more than $110 last monday.
The final inequality is: 9h + 15 > 110.

Answer:

Let h = number of hours she worked on Monday

Given that she makes $9 per hour, it is 9 x h or 9h.

If her tips is a fixed $15 amount, then we simply add 15.

9h + 15

This expression above is the amount she made last Monday.

Since she made no less than $110, meaning she made more than $110 last monday.

The final inequality is: 9h + 15 > 110.

Step-by-step explanation:

A telephone company charges a fixed monthly rate plus a rate per minute of usage. The company charges $135 for 100 minutes of usage and $375 for 500 minutes of usage. An equation can be written to show the relationship between the total minutes used (x) and the total monthly charges (y). Which of the following best describes the steps to draw the graph of y against x?Draw a graph which joins the points (135, 100) and (375, 500) and has a slope = 0.6
Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6
Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 1.67
Draw a graph which joins the points (135, 100) and (375, 500) and has a slope = 1.67

Answers

Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6

The ordered pairs are: (100, 135) and (500, 375)

The first number is the number of minutes of usage and the second number is the charge of the month.

The slope is: ( 375 -135) / (500 - 100) = 240/400 = 0.6

Answer:

Draw a graph which joins the points (100, 135) and (500, 375) and has a slope = 0.6

Step-by-step explanation:

Data

x: total minutes used  

y: total monthly charges

x      | y

100  | $135

500 | $375

That can be expressed as coordinates (x, y),  so the points are (100, 135) and (500, 375).

The slope is computed with two points (x2, y2) and (x1, y1) as follows:

slope = (y2 - y1)/(x2 - x1)

Replacing with data

slope = (375 - 135)/(500 - 100) = 0.6

The product of two rational numbers is

rational
irrational

Answers

Answer:

Rational.

Step-by-step explanation:

The product of two rational numbers is always rational. This means that if you multiply two numbers that can be made into a fraction, their product can also become a fraction.

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