APRIL 2024 MATH

Which of the following is equal to n⁻⁴ · n⁴?

1

Find the vertex of the parabola x² = 8y.

(0, 0)

Obtain L(tⁿ)

n! / s^(n+1)

4x² - y² = 16 is the equation of a:

hyperbola

In the polar coordinate system, the distance from a point to the pole is _______

radius vector

Which of the following is equal to (x²y)³?

x⁶y³

The axis of the hyperbola through its foci is known as:

transverse axis

In y = mx + b, what is m?

slope

The product of the slopes of any two straight lines is negative 1, one of the lines is said to be ____________

perpendicular

How many terms are there in the expansion of (x + y)⁷?

8

Given a conic section, if B² - 4AC = 0, it is called?

Parabola

It represents the distance of a point from the y-axis.

abscissa

Given a conic section, if B² - 4AC > 0, it is called?

Hyperbola

How many 5 poker hands are there in a standard deck of cards?

2,598,960

What is the ratio of the surface area of a sphere to its volume?

3/R

In how many ways can 4 coins be tossed?

16

The geometric mean and the arithmetic mean of two numbers are 8 and 10 respectively. What is the harmonic mean?

6.4

What is the value of x if logₓ 1296 = 4?

6

What is the square root of 36?

6

What is the conic section x² + 6x - y + 12 = 0?

parabola

Find the equation representing a number between -3 and 8 inclusive.

-3 ≤ x ≤ 8

Jenny flipped a coin three times and got heads each time. What is the probability that she gets heads on the fourth flip?

1/2