Answer:
.0087
Step-by-step explanation:
8.7 x 10^-3
10^-3 means move the decimal to the left 3 places. The negative means left, positive would mean right. We add 0 to make enough places to move it to the left 3
008.7
Move it 3 places left
.0087
This is in standard form
Answer:
Turn your refrigerator down. ...
Use energy-efficient light bulbs. ...
Clean or replace air filters. ...
Do full loads. ...
Air-dry dishes and clothes. ...
Cook using the right-sized burner. ...
Cut down on air leaks in your home.
Answer:
- B. Y = 32x + 35
- E. Y = 35x + 30
- F. Y = 40x + 40
Step-by-step explanation:
First find out how much Mary was charging per hour:
= 500 / 20
= $25 per hour
She charges $60 for plants.
In a linear equation of the form: y = mx + c, the m represents the variable cost which in this case is the $25 per hour and the c is the fixed cost which is the $60.
Her rate as a linear equation would be:
y = 25x + 60
Looking a the value of the m of other gardeners will tell you who is charging higher hourly rates with anything above $25 doing so.
The gardeners with higher values of m than Mary are:
B. Y = 32x + 35
E. Y = 35x + 30
F. Y = 40x + 40
Answer:
10.6 feet
Step-by-step explanation:
Length = 22ft
width= 14ft
Maximum area = 800 sq. ft
Let X be increase in the number of feet for the length and width.
The new length = (22 + x) ft
New width= (14 + x) ft
Area = (22+x)(14+x) ≤ 800
308 + 36x + x^2 ≤ 800
x^2 + 36x + 308 - 800 ≤ 0
x^2 + 36x - 492 ≤ 0
Solve using quadratic equation
x = (-b +/- √b^2 - 4ac) / 2a
a= 1, b = 36, c= 492
x = (-36 +/- √36^2 - 4*1*-492)/ 2*1
= (-36 +/- √1396 + 1968) / 2
= (-36 +/- √3264) / 2
= (-36 +/- 57.13) / 2
x = (-36 + 57.13)/2 or (-36 - 57.13)/2
x = 21.13/2 or -93.13/2
x = 10.6 or -31.0
x = 10.6 ft
The length and width must increase by 10.6 ft each
If you can describe a mathematical way to create the pattern, then the next number is mathematically predictable. Options B, C, D are like that.
The best choices are
A. Ask your friends
E. Use winning lottery numbers
