MATHEMATICS HIGH SCHOOL

"six less than the quotient of a number cubed and nine, increased by twelve" when n
=3

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Make your equation:

((n^3/9)-6)+12

Substitute in 3 for n:

((3^3/9)-6)+12

Simplify and solve:

3^3=27

27/9=3

3-6=-3

-3+12=9

Answer 2

Answer:

Answer:

Step-by-step explanation:

i got 100%

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What is the work to this ? 6=-3(x+2)

Answers

♥ To solve this you are going to find x. ♥

♥ X in this case is representing a unknown variable, meaning we are not sure of the number x, and to finish the solution to your problem we have to find x.

♥ So to find x the first step is to simplify both sides of the equation.

♥ Starting with distribution:

$6=(-3)(x)+(-3)(2) \n 6=-3x+-6 \n 6=-3x-6$

♥ Now we want to flip the equation.

$-3x-6=6$

♥ Our next and almost final step, is to add the number -3 to both sides of our problem. This is going to help us tremendously.

$-3x-6+6=6+6 \n -3x=12$

♥ Now our last step before we get our answer is to divide both sides of the problem. In this case we are going to do this:

$(-3x)/(-3) = (12)/(-3)$

♥ And then because of that we get our final answer of: -4.

♥ x=-4 ♥

the area of the field is 6000 square yards. write and solve a formula to find the width of the field

Answers

Answer: For a rectangular shape, the area is equal to the product of th length and the width. so A = L*W

If the area is 6000 $yd^(2)$

so if you want to know the width you need to solve the equation W = A/L for finding the value of W.

I think in the picture says that L = 60 yds

so W = 6000/60 = 100 yards.

L-lenght
W-width

A = L·W

A = 6000 yd
L = 60 yd

subtitute

60W = 6000 |divide both sides by 60

W = 100 (yd)

Which ordered triple is located in the same octant as (3, −4, 7)? (−1, 3, −2) (−5, 1, 6) (5, 3, −1) (2, −5, 4)

Answers

Final answer:

The ordered triple (2, -5, 4) is located in the same octant as the ordered triple (3, -4, 7) as they both share a positive, negative, positive pattern in their coordinates, indicating that they are both situated in the second octant of the Cartesian coordinate system.

Explanation:

The question requires the identification of the octant in which the ordered triple (3, -4, 7) is located and then determining which other given ordered triple shares the same octant. In the Cartesian coordinate system, an octant is each of the eight divisions of a three-dimensional coordinate system. By looking at each coordinate of the ordered triple (3, -4, 7), we can see that the first value is positive, the second is negative, and the third is positive. This primes us to the second octant. Going through the list of ordered triples, we find that (2, -5, 4) shares this same signage pattern: first coordinate positive, second negative, and third positive. Such alignment implies that (2, -5, 4) is also in the second octant. Therefore, the ordered triple that is in the same octant as (3, -4, 7) is (2, -5, 4).

Learn more about Cartesian Coordinate System here:

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Find the inverse of the one to one function. f(x)=2x+5/7

Answers

$f(x)=(2x+5)/(7)\n\n y=(2x+5)/(7)\n 7y=2x+5\n 2x=7y-5\n x=(7y-5)/(2)\n \boxed{f^(-1)(x)=(7x-5)/(2)}$

A triangle is placed in a semicircle with a radius of 9 cmFind the area of the shaded region. Use the value 3.14 for π
, and do not round your answer. Be sure to include the correct unit in your answer.

Answers

Considering that the shaded area is the part of the semi circle outside the triangle:
Area of circle= Pi x radius2 (this means radius squared)
Area of triangle= 1/2 x base x height
1/2 (because it is a semi circle) x 3.14 (in replacement of pi as directed by question) x 9squared= 127.17

127.17 - (1/2 x 18 x 9) = 46.17cmsquared

Final answer:

The area of the shaded region can be found by subtracting the area of the triangle from the area of the semicircle.

Explanation:

To find the area of the shaded region, we need to calculate the area of the semicircle and subtract the area of the triangle from it. First, let's find the area of the semicircle. The formula to find the area of a semicircle is A = (π * $r^2$ ) / 2, where π is approximately 3.14 and r is the radius. Plugging in the values, we have A = (3.14 * $9^2$ ) / 2 = 127.26 square cm.

Next, let's find the area of the triangle. The formula to find the area of a triangle is A = (base * height) / 2. In this case, the base of the triangle is the diameter of the semicircle, which is 2 * 9 = 18 cm. The height of the triangle is the radius of the semicircle, which is 9 cm. Plugging in the values, we have A = (18 * 9) / 2 = 81 square cm.

Finally, to find the area of the shaded region, we subtract the area of the triangle from the area of the semicircle: 127.26 - 81 = 46.26 square cm. So, the area of the shaded region is 46.26 square cm.

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The Ferris Wheel makes 12 revolutions per ride. How far would someone travel during one ride?

Answers

Answer:

$C=12{*}{\pi}{*}d$ .

Step-by-step explanation:

It is given that The Ferris Wheel makes 12 revolutions per ride.

Now, The circumference to find the distance a rider travels in 1 revolution is given as: $C={\pi}d$ where "d" is the diameter.

For 12 revolutions, the distance a rider travels is given as: $C=12{*}{\pi}{*}d$ .

1 revolution = the circumference of the wheel = (pi) x (diameter) .

12 revolutions = 12 x the circumference of the wheel = (12) x (pi) x (diameter) .

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