Podcast
Questions and Answers
Simplify the expression: $5^2 - 3^4 - 5^{16}$
Simplify the expression: $5^2 - 3^4 - 5^{16}$
-244227
Solve for $x$ in the equation: $4x - \frac{3}{3x} = 10$
Solve for $x$ in the equation: $4x - \frac{3}{3x} = 10$
x = 3
Factorise the expression: $x^2 - 3x + 2$
Factorise the expression: $x^2 - 3x + 2$
$(x-1)(x-2)$
Find a linear equation with a gradient of 2 that passes through the point (4, 11)
Find a linear equation with a gradient of 2 that passes through the point (4, 11)
Signup and view all the answers
Find the equation of the line passing through (3,16) and (7,-4)
Find the equation of the line passing through (3,16) and (7,-4)
Signup and view all the answers
Rearrange the model 𝑩(𝒕) = 𝟑 + 𝟏𝟎𝒆𝒌𝒕 to solve for 𝒆𝒌𝒕.
Rearrange the model 𝑩(𝒕) = 𝟑 + 𝟏𝟎𝒆𝒌𝒕 to solve for 𝒆𝒌𝒕.
Signup and view all the answers
If 𝒌 = 𝟎. 𝟎𝟏, after 5 days, what will be the total number of bees?
If 𝒌 = 𝟎. 𝟎𝟏, after 5 days, what will be the total number of bees?
Signup and view all the answers
Solve the following equation: 𝟏𝟎𝑳𝒐𝒈 𝟏𝟎 (𝒙) = 𝟐𝟎
Solve the following equation: 𝟏𝟎𝑳𝒐𝒈 𝟏𝟎 (𝒙) = 𝟐𝟎
Signup and view all the answers
Rewrite 𝟐 𝑳𝒐𝒈 𝟐 (𝒙 + 𝟑) − 𝑳𝒐𝒈 𝟐 𝟑𝒙 as one logarithm.
Rewrite 𝟐 𝑳𝒐𝒈 𝟐 (𝒙 + 𝟑) − 𝑳𝒐𝒈 𝟐 𝟑𝒙 as one logarithm.
Signup and view all the answers
If 𝑓(𝑥) = 3𝑥^2 – 3 is reflected along the y-axis then shifted 2 units to the left, obtain 𝑔(𝑥). What is 𝑔(𝑥) in terms of 𝑥?
If 𝑓(𝑥) = 3𝑥^2 – 3 is reflected along the y-axis then shifted 2 units to the left, obtain 𝑔(𝑥). What is 𝑔(𝑥) in terms of 𝑥?
Signup and view all the answers
Is the statement y = sin(x) the same as y = -1 sin(x)?
Is the statement y = sin(x) the same as y = -1 sin(x)?
Signup and view all the answers
Is sin(45 degrees) equal to sin(pi / 4 radians)?
Is sin(45 degrees) equal to sin(pi / 4 radians)?
Signup and view all the answers
Is the trigonometric identity sin^2𝑥 + cos^2𝑥 = 1 true?
Is the trigonometric identity sin^2𝑥 + cos^2𝑥 = 1 true?
Signup and view all the answers
Which one is the correct mnemonic for trigonometric ratios?
Which one is the correct mnemonic for trigonometric ratios?
Signup and view all the answers
Simplify the expression: $(5^2 - 3^4) - 5^{16}$
Simplify the expression: $(5^2 - 3^4) - 5^{16}$
Signup and view all the answers
Factorise the expression: $6x^2 - x - 12$
Factorise the expression: $6x^2 - x - 12$
Signup and view all the answers
Find the equation of the line that passes through the points (3,16) and (7,-4)
Find the equation of the line that passes through the points (3,16) and (7,-4)
Signup and view all the answers
Solve for $x$ in the equation: $4x - \frac{3}{3x} = 10$
Solve for $x$ in the equation: $4x - \frac{3}{3x} = 10$
Signup and view all the answers
Find the initial value of the exponential equation $A(t) = \frac{21-7e^{-6t}}{1-4e^{-3t}}$
Find the initial value of the exponential equation $A(t) = \frac{21-7e^{-6t}}{1-4e^{-3t}}$
Signup and view all the answers
Rearrange the model to solve for 𝑒𝑘𝑡?
Rearrange the model to solve for 𝑒𝑘𝑡?
Signup and view all the answers
If 𝒌 = 𝟎. 𝟎𝟏, after 5 days, what will be the total number of bees?
If 𝒌 = 𝟎. 𝟎𝟏, after 5 days, what will be the total number of bees?
Signup and view all the answers
Solve the following equation: $𝟏𝟎𝑳𝒐𝒈 𝟏𝟎 (𝒙) = 𝟐𝟎$
Solve the following equation: $𝟏𝟎𝑳𝒐𝒈 𝟏𝟎 (𝒙) = 𝟐𝟎$
Signup and view all the answers
Rewrite $𝟐 𝑳𝒐𝒈 𝟐 (𝒙 + 𝟑) − 𝑳𝒐𝒈 𝟐 𝟑𝒙$ as one logarithm.
Rewrite $𝟐 𝑳𝒐𝒈 𝟐 (𝒙 + 𝟑) − 𝑳𝒐𝒈 𝟐 𝟑𝒙$ as one logarithm.
Signup and view all the answers
If 𝑓(𝑥) = 3𝑥^2 – 3 is reflected along the y-axis then shifted 2 units to the left, obtain 𝑔(𝑥). What is 𝑔(𝑥) in terms of 𝑥?
If 𝑓(𝑥) = 3𝑥^2 – 3 is reflected along the y-axis then shifted 2 units to the left, obtain 𝑔(𝑥). What is 𝑔(𝑥) in terms of 𝑥?
Signup and view all the answers