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spin [16.1K]
2 years ago
15

Is 3(2a - b) and 6a - 3b equivalent?

Mathematics
2 answers:
Softa [21]2 years ago
5 0
Yes, they are equivalent. This is because if you factor 3(2a - b), it becomes 3(2a) + 3(-b). This is because you are using the distributive property. That is equal to 6a - 3b and is proven equivalent.
alina1380 [7]2 years ago
3 0
Use the distributive property.
3*2a - 3*b = 6a - 3b.
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A gardener purchases a ceramic planter, in the shape of a hemisphere, for a small batch of leftover annuals. The volume of a hem
musickatia [10]
A gardener purchases a ceramic planter, in the shape of a hemisphere, for a small batch of leftover annuals. The volume of a hemisphere is modeled by the function V = 2/3πr 3 


<span>A. Write a model for the radius as a function of the volume. </span>
<span>B. The label on the planter says that it holds approximately 134 cubic inches of potting soil. What is the radius of the planter, rounded to the nearest inch? Use 3.14 for π </span>


<span>r = ∛[(3/2)V) / π] </span>


<span>134 = (2/3) (3/14) r^3 </span>

<span>r = ∛[(3/2) (134) / 3.14] ≈ 4.00 inches </span>
5 0
3 years ago
Solve for x.
alexandr402 [8]

this is how i calculated for x!

7 0
2 years ago
The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with
Pani-rosa [81]
Notice the picture below

negative angles, are just angles that go "clockwise", namely, the same direction a clock hands move hmmm so....  and one revolution is just 2π

now, you can have angles bigger than 2π of course, by simply keep going around, so, if you go around 3 times on the circle, say "counter-clockwise", or from right-to-left, counter as a clock goes, 3 times or 3 revolutions will give you an angle of 6π, because 2π+2π+2π is 6π

now... say... you have this angle here... let us find another that lands on that same spot

by simply just add 2π to it :)  

\bf \cfrac{7}{6}+2=\cfrac{19}{6}\qquad thus\qquad \cfrac{7\pi} {6}+2\pi =\cfrac{19\pi }{6}&#10;\\\\\\&#10;\cfrac{19\pi }{6}\impliedby co-terminal\ angle

now, that's a positive one
and  \bf \cfrac{7}{6}-2=-\cfrac{5}{6}\qquad thus\qquad \cfrac{7\pi} {6}-2\pi =-\cfrac{5\pi }{6}&#10;\\\\\\&#10;-\cfrac{5\pi }{6}\impliedby \textit{is also a co-terminal angle}

to get more, just keep on subtracting or adding 2π


8 0
3 years ago
Can someone plz help me??
Klio2033 [76]
If you are looking for the third angle it is 90 degrees
5 0
2 years ago
The Capacity of a 1 cm cube is 1 mL. How many 1 cm ice cubes do you need to melt to fill a 1.5 L jar.
Svetach [21]

1500 ice cubes need to fill 1.5 L jar

Solution:

1 cm = 1 ml

Capacity of ice cube = 1 cm

                                   = 1 ml

Capacity of jar = 1.5 L

1 L = 1000 ml

1.5 L = 1.5 × 1000

       = 1500 ml

Capacity of jar = 1500 ml

$\text{Number of ice cubes} =\frac{\text{Capacity of ice cube}}{\text{Capacity of jar}}

                                $=\frac{1500}{1}

                                = 1500

Therefore 1500 ice cubes need to fill 1.5 L jar.

8 0
3 years ago
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