Em uma expediçăo arqueológica, os \( \quad 1 \) ponto cientistas encontraram uma antiga civilizaçăo que utilizava um sistema numérico diferente. Nesse sistema, o número 5 tinha um significado especial e era representado como uma potência de 2. Para entender melhor esse sistema, os arqueólogos precisam descobrir qual é o menor expoente inteiro que pode ser usado para que 2 elevado a esse número seja maior que 5. Qual é esse expoente?

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.

Vergelyk die volgende getalpatroon met die oorspronklike getalpatroon wat in VRAAG 3.1 hierbo gegee is: \[ 4 ; 28 ; 70 ; 130 ; \ldots \] 3.2.1 Beskryf, in woorde, hoe hierdie nuwe patroon gevorm is. 3.2.2 Bepaal die waarde van die \( 15^{\text {de }} \) term in hierdie patroon.

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. \( 7 \ln (x-4) \) - \( 3 \ln x \)

Diketahui fungsi tujuan meminimumkan \( Z=x+5 y \) dengan pembatas-pembatas sebagai berikut \( x+y \leq 8 \) \( 2 x-3 y \leq 6 \) \( x \leq 5 \) \( y \geq 1 \) a. gambarkan daerah layak b. tentukan Z minimum

A 25 -year old woman burns \( 350-70 t \) cal/hr while walking on her treadmill. Her caloric intake from drinking Gatorade is \( 135 t \) calories during the \( t \) th hour. What is her net decrease in calories after walking for 4 hours?