f(2) = 3(2)^2 + 2(2) - 1 = 3(4) + 4 - 1 = 12 + 4 - 1 = 15.

g(1) = (1)^3 - 3(1)^2 + 4 = 1 - 3 + 4 = 2.

h(-1) = 2(-1)^2 - 3(-1) + 1 = 2 + 3 + 1 = 6.

p(-1) = (-1)^2 + 3(-1) + 2 = 1 - 3 + 2 = 0.

Area = base × height; 72 cm² = 9 cm × height; height = 72 cm² / 9 cm = 8 cm.

Circumference = 2πr; 31.4 = 2πr; r = 31.4/(2π) = 5 cm.

New cost = Original cost + (15% of Original cost) = 200 + (0.15 * 200) = 200 + 30 = $230.

Setting x = 0: 5(0) + 2y = 10 => 2y = 10 => y = 5.

Substituting x = 4: y = -2(4) + 5 => y = -8 + 5 => y = -3.

Using the Pythagorean theorem, the sides are 10 cm and 24 cm. The perimeter is 2(10 + 24) = 68 cm.

Perimeter of a square = 4 * side. So, side = 36 / 4 = 9 cm.

Area = πr²; if r is doubled, area = π(2r)² = 4πr², which is quadrupled.

Complementary angles add up to 90 degrees. Therefore, the other angle is 90 - 35 = 55 degrees.

Supplementary angles add up to 180 degrees. Therefore, the other angle is 180 - 75 = 105 degrees.

Perpendicular lines form angles of 90 degrees.

Vertically opposite angles are equal, so the vertically opposite angle is also 40 degrees.

Alternate interior angles are equal when two parallel lines are cut by a transversal.

The probability of getting exactly 2 heads in 3 flips = C(3,2) * (1/2)^2 * (1/2)^1 = 3/8.

The angle subtended at the circumference is half of the angle subtended at the center, so it is 80 / 2 = 40 degrees.

In a normal distribution, approximately 68% of the data falls within one standard deviation of the mean.

In a parallelogram, opposite angles are equal and adjacent angles are supplementary. Thus, the angles are 70, 110, 70, 110.

In a right triangle, the sum of the angles is 180 degrees. Therefore, the other angle is 180 - 90 - 30 = 60 degrees.

In a right triangle, the sum of the angles is 180 degrees. Therefore, the other angle is 180 - 90 - 30 = 60 degrees.

If the side length is doubled, the area increases by a factor of 4 (since area = side²).

The sum of angles in a triangle is 180 degrees. Therefore, the third angle is 180 - 50 - 60 = 70 degrees.

Cellular respiration primarily occurs in the mitochondria.

Each half of the diagonal is 10 cm / 2 = 5 cm.

The chemical properties of an element are determined by the number of electrons.

The volume of a gas decreases when it is compressed due to the particles being forced closer together.

Circumference = 2πr; r = 5 cm; Area = πr² = π(5)² = 25π cm².