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The volume of a cone is given by

V_c =  (1/3) * pi * r² * h          so...if the diameter  is 6, the radius = 3   and we have

V_c = (1/3) * pi * 3² * 7 =  65.98cm³

And  240cm³ / 65.98 cm³ =  about 3.6 cups  !!!!

Thank you. And Camelot is really safe.

Neither...it's the distributive property......we are "distributing"  a  "-" across terms inside the parentheses......the terms then just change signs

The associative property  affects the "grouping' of terms..thus   (a + b) + c =  a + (b +c)

The commutative property affects the order of operation(s) on two numbers..thus a + b = b + a

Note that the associative property fails in division (16 / 4) / 2  ≠ 16 / (4 / 2)

And the commutative property fails in subtraction and division .......... 3 -2  ≠ 2 -3    and    16/4 ≠ 4/16   !!!!

30,000,000,000 / 9999 = about 3,000,300 coins each

4 ^-3   =  [1 / 4^{3  ]}   =  1 / (4 * 4 * 4)  = 1/ 64

For a non-zero number a, its multiplicative inverse is just ...  1/a    ...it's just the "reciprocal" of a number.....0 doesn't have a multiplicative inverse becuase we can't divide 1/0  !!!!

Distance / Rate = Time.....so we have.....250 million /  5 million km / hr   = 50 hrs.   !!!!

thats private

First of all......John would be the fastest person in the world, leaving the current record-holder, Usain Bolt, in the dust!!!

So we have .......  distance / time  = rate

100m / 8.61 seconds =  about 11.6 meters per second.......!!!!

Well, Angelica...........consider the following"sentence.'

Angelica ________ math.

What's  the relationship between "Angelica" and "math ????"  ....in other words.......what word goes in the blank???......  "likes"   "hates"  "passed" "failed" "skipped"  ????....without a verb, we don't know how the two nouns "Angelica" and "math' are related  !!!!!!

its too hard ask someone else

Verbs show action or a state of being. Without them, nothing will happen. Literally!

Think about it, try to form a sentence without a verb. I believe it is possible, but it is very difficult.

Verbs are essential for sentence structure, and that is why we need them.

We're looking for a number that, when subtracted from 4, equals 6....let n be that number....so we have

4 - n = 6      add n  to both sides

4 = 6 + n    subtract 6 from both sides

-2 = n   

This is true because 4-(-2)  = 4 + 2  = 6  !!!!

≈ 0                   

"e" is an irrational number that serves as  the "base'  for something known as the "natural log".....it's value is about 2.718.........

This number is extremely important in many scientific applications such as growth and decay problems !!!!

This errors because you have two equals signs. I'm not sure what your asking really...can you be a little more spesific?

Here, since the lines are parallel, they have the same slope....so.....we just need to equate slopes and solve for y.......and we have......

[y + 3 ] / [3 - 1 ]  =  [y + 6] / [9 - 5]         ...simplify....

[y + 3] / 2  = [y + 6] / 4                            ....cross-multiply...

4[y + 3 ] = 2 [ y + 6]

4y + 12 =  2y = 12             .... subtract 12 from both sides and 2y from both sides....

2y = 0                               ......divide by 2 on both sides.........

y = 0

the answer is 22.5

8.3 percent

Solve for θ in the equation cos θ = -0.181 when 180º < θ < 360º. Round your answer to the nearest tenth of a degree.

We can use the cosine inverse to find this...

cos^-1(-.181)  = 100.42801238727° ....or  about 100.4°    However, the cosine is also negative in the 3rd quadrant...so we're looking for a (180- 100.42801238727)° = 79.57198761273° angle in that quadrant =

(180 + 79.57198761273)° =  259.57198761273°..... or about 259.6°

So the answer you're looking for is the second one,  i.e., about 259.6°

-5 in a fraction would be -5/1

As long as the number isn't 0, we can derivie this from the Laws of Exponents.....

Note that    aⁿ / aⁿ =    a^n-n  = a⁰

But, any number divided by itself (except for 0)  is always = 1

Therefore...... aⁿ / aⁿ  = 1  →  a⁰  = 1

Note 0⁰ is known as an "indeterminant" form......(we can't say what it is  !!!!)

The only logical answer i could come up with is 4--2=6

OK, Rosala...hang on ......this one is a little difficult !!!

Let's look at the VCR, first. If the shopkeeper lost 4% on its sale, then he must have only been paid 96% of what he bought it for. Call that price, "P". So.......96% of P  = 8000    or....in math terms.....

.96P = 8000   divide both sides by .96

P = 8000/.96 = about $8333.33  ...and this is what he bought it for

Now....let's look at the TV......If he made an 8% profit, then he was paid (!00% + 8%) of it's original price.......again, let's call that "P"....so  P(100% + 8%) = 8000...or, converting the percents to decimals, we have.....

P(1 + .08) = 8000  →  P(1.08) = 8000   divide both sides by 1.08

P = 8000/1.08 = about  $7407.41

So notice that the total cost to him of the two items was just .... $8333.33 + $7407.41 = $15,740.74

And since he sold the two items at $8000 each, he received $16000 total

So, if we calculate the profit based on the original cost of the two items, we have

[Selling Price - Original Cost ]/ {Original Cost ] =

 [16000 - 15740.74 ] / 15740.74 = about .016 or about  1.6% ... (Mmmmm...that's not much of a profit !!!)

Hope that helps......

Power to the minus (insert exponent here) is the same as one over power to the absolute value of the exponent, ie the exponent without the minus sign, in this case 1 over 3^2 which is 1/9.