Answer: 11:7
Step-by-step explanation:
Number of green colored pencils=11
Number of blue colored pencils= 7
Number of red colored pencils= 3
Total number of colored pencils= 11+7+3= 21
Ratio of green colored pencils to blue colored pencils= 11:7

seperable differential equations will have the form

what you do from here is isolate all the y terms on one side and all the X terms on the other

just divided G(y) to both sides and multiply dx to both sides
then integrate both sides

once you integrate, you will have a constant. use the initial value condition to solve for the constant, then try to isolate x or y if the question asks for it
In your problem,

so all you need to integrate is
Answer:
<u>a= -4</u>
Step-by-step explanation:
subtract 4a from both sides
add 15 to both sides
divide both sides by -3
(order of operations)
Answer:
see below
Step-by-step explanation:
The conversion factor in the box is the product ...

_____
The purpose of a conversion factor is to multiply by 1 in the form of a ratio that changes the units. We know that 1000 Pa = 1 kPa, so the ratio (1 kPa)/(1000 Pa) is the ratio of two equal quantities. It has the value 1 and will change units from Pa to kPa.
Likewise, 100 cm = 1 m, so (1 m)/(100 cm) will change the units from cm to m. However the given expression uses cm³, so we need to multiply by the conversion factor 3 times. That factor is ((1 m)/(100 cm))³ = (1 m³)/(10⁶ cm³).
To choose the appropriate conversion factor, look at the units you have (Pa, cm) and the units you want (kPa, m). Find the relationship these have to each other, and write the ratio so that it will cancel the units you have and leave the units you want.
When SI units are involved the prefixes help you out. k = kilo = 1000; c = centi = 1/100. It is worthwhile to get to know them.
Answer:
x² - 4
Step-by-step explanation:
Step 1: Write expression
(x + 2)(x - 2)
Step 2: FOIL
x² + 2x - 2x - 4
Step 3: Combine like terms
x² - 4