Em uma competição de lançamento de foguetes, cada foguete atinge uma altura maxima expressa em metros como funçâo de seu tempo de voo, \( t \) segundos, pela formula \( h(t)=4^{\wedge} t \), Dado que um foguete atingiu sua altura maxima após 3 segundos de voo, qual foi a altura máxima alcançada por este foguete?

Use propenties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1 . Where possible, evaluate logarithmic expressions. \( 7 \ln (x-4) \) - \( 3 \ln x \)

Consider the number pattern below: \[ \frac{-3}{5} ; \frac{-6}{9} ; \frac{-9}{13} ; \ldots . \ldots \] Determine the next two terms of the number pattern. Determine the \( n^{\text {th }} \) term of the number pattern.

Determina il valore dell'espressione in notazione scientifica : \[ \left(1,2 \cdot 10^{3}-19 \cdot 10^{2}\right)^{2}:\left(0,07 \cdot 10^{3}\right) \cdot 0,03 \]

Gegee die funksie \( f(x)=3^{-x} \). 6.1 Gee die vergelyking van \( g \) indien \( g \) die refleksie van \( f \) in die \( y \)-as is en wat 3 eenhede afwaarts geskuif word. B.2 Bereken die \( x \)-afsnit van \( g \).

Determine whether the following statment is true or false. The graph of \( y=\frac{1}{7} g(x) \) is the graph of \( y=g(x) \) stretched by a factor of 7 . Choose the correct answer below. A. True, because the graph of the new function is obtained by adding 7 to each \( x \)-coordinate. Balse, because the graph of the new function is obtained by multiplying each \( y \)-coordinate of \( y=g(x) \) by \( \frac{1}{7}<1 \). C. True, because the graph of the new function is obtained by multiplying each \( y \)-coordinate of \( y=g(x) \) by 7 and \( 7>1 \). D. False, because the graph of the new function is obtained by adding 7 to each \( x \)-coordinate.