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2 years ago

What is the solution to (5m)² - (2n-3m)³ if m=-3 and n=5

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

7 0

Answer:

-6634

Step-by-step explanation:

(5m)² - (2n-3m)³ if m=-3 and n=5

= (5 * (-3))^2 - (2 * 5 - 3 * (-3))^3

= (-15)^2 - (10 - (-9))^3

= 225 - (19)^3

= 225 - 6859

= -6634

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PLEASE HELP ME!! (50 COINS) (i rlly need help so im giving coins away PLEASE ANSWER IMMEDIATELY!!!)

Archy [21]

Hello from MrBillDoesMath!

Answer:

4( x + 1.5)^2 + 0

Discussion:

4x^2 + 12x + 9 = => factor "4" from first 2 terms

4 (x^2 + 3x) + 9 = => complete the square, add\subtract (1.5)^2

4(x^2 + 3x + (1.5)^2) - 4 (1.5)^2 + 9 =

4 ( x + 1.5)^2 + ( 9 - 4(1.5)^2) = => as (1.5)^2 = 2.25

4 ( x + 1.5)^2 + ( 9 - 4(2.25)) = => as 4 ( 2.25) = 9

4 ( x+ 1.5)^2 + 0

Thank you,

MrB

5 0

2 years ago

75 is 25% more than 60, but 60 is 20% less than 75, explain why?

xxMikexx [17]

Answer:

Explanation:

15 goes into 60, 4 times (1 fourth is equal to 25%).

15 goes into 75, 5 times (1 fifth is equal to 20%)

So 75 is one fifth more because it has a value of 15 more, and 60 is 1 fourth less than 75 because its value is more minuscule and less is more.

If you don't understand this was quite the challenge to explain.

4 0

3 years ago

What is the volume of this cone?

olchik [2.2K]

Answer:

The volume of the cone is approximately 453.0 cm³

Step-by-step explanation:

The volume of a cone is one third that of a cylinder with the same height and radius. That gives us 1/3 πr²h, where r is radius and h is height.

However, we are not given the height of the cone, but the side length. We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length. You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:

$a^2 = b^2 + c^2$

So we can find the height of the cone with that:

$10.8^2 = 7.4^2 + h^2\\h^2 = 10.8^2 - 7.4^2\\h^2 = 116.64 - 54.76\\h^2 = 61.88\\h = \sqrt{61.88}\\h \approx 7.9$

Now that we have the cone's height, we can solve for its volume:

$v = \frac{1}{3} \pi r^2 h\\v = \frac{1}{3} \pi \times 7.4^2 \times 7.9\\v = \frac{1}{3} \pi \times 54.76 \times 7.9\\v = \frac{1}{3} \pi \times 432.6\\v = \pi \times 144.2\\v \approx 453.0 cm^3$