All Questions & Answers

(b.) student : (1) My Day 9. An airplane starts from rest and accelerates at a constant rate of \( 3.00 \mathrm{~m} / \mathrm{s}^{2} \) for 30.0 s before leaving the ground. a. How far did it move? b. How fast was it going when it took off? 10. A brick is dropped from a high scaffold. a. What is its velocity after 4.0 s ? b. How far does the brick fall during this time? 11. A tennis ball is thrown straight up with an initial speed of \( 22.5 \mathrm{~m} / \mathrm{s} \). It is caught at the same distance above the ground. a. How high does the ball rise? b. How long does the ball remain in the air?

If \( B=3 x-1 \) and \( C=2 x^{2}+x+9 \), find an expression that equals \( 2 B+2 C \) in standard form.

235. Un triangolo rettangolo ha i cateti di 21 cm e 28 cm e l'ipotenusa \( 5 / 4 \) del cateto maggiore. Calcola la misura dell'altezza relativa all'ipotenusa. \( \quad[16,8 \mathrm{~cm}] \)

If \( B=3 x-1 \) and \( C=2 x^{2}+x+9 \), find an expression that equals \( 2 B+2 C \) in standard form.

39: \( (\sqrt{2}+\sqrt{8})= \)

Какие выражения равны данному выражению \( 8 b+8 k ? \) (может быть несколько правильных вариантов ответа!) \( 8(-k+b) \) \( 8(-k-b) \) \( 8(b-k) \) \( 8(b+k) \) \( (b-k) \cdot 8 \) \( (k+b) \cdot 8 \)

\( \frac { \overline { 8 } } { 9 } - \frac { \frac { 1 } { 2 } } { 3 } \cdot \frac { 5 } { 6 } = \frac { 18 } { 9 } - \frac { 12 } { 9 } \cdot \frac { 15 } { 9 } \)

Si consideri il luogo dei punti di \( \mathbf{R}^{3} \) che soddisfano le seguenti condizioni: \( \left\{\begin{array}{l}x^{2}+y^{2}+z^{2}-2 y+4 z+2=0 \\ x+2 y+z=0\end{array}\right. \) Dire se si tratta di: Answer a. una circonferenza con centro c(1,0,-1) b. una circonferenza di raggio uguale a 3 c. una circonferenza di raggio uguale a \( \sqrt{3} \)\( \bigcirc \)

3. Derive las siguientes funciones con paréntesis: \( \begin{array}{lll}\text { a) } f(x)=(x+1)^{7} & \text { b) } f(x)=\left(x^{2}+3 x+5\right)^{3} & \text { c) } f(x)=\left(\frac{x^{7}}{7}+\sqrt{3} x^{3}\right)^{4} \\ \text { d) } f(x)=\frac{\left(x^{4}-3 x^{2}\right)^{2}}{3} & \text { e) } f(x)=\left(4 x^{7 / 2}+3\right)^{\sqrt{5}} & \text { f) } f(x)=\left(x^{2}-x^{2}\right)^{6} \\ \text { g) } f(x)=\left(2 x^{3}+7 x\right)^{-5} & \text { h) } f(x)=\left(2 x^{3}+3 x^{-4}+2\right)^{7} & \text { i) } f(x)=\left(x^{6}+3 x^{4}-5 x\right)^{8} \\ \text { j) } f(x)=\frac{\left(x^{3}+7 x^{2}-5\right)^{6}}{7} & \text { k) } f(x)=\frac{\left(5 x^{4}+3 x^{-2}\right)^{5}}{12} & \text { 1) } f(x)=\frac{3}{5}\left(\frac{x}{4}+\frac{1}{x}\right)^{3} \\ \text { m) } f(x)=\left(5 x^{2}-3 x\right)^{5 / 2} & \text { n) } f(x)=\left(4 x^{6}-x\right)^{7}\end{array} \)

If \( A=p-6 p^{2} \) and \( B=1+8 p^{2}-8 p \), find an expression that equals \( 2 A+B \) in standard form.