One month Leila rented 3 movies and 2 video games for a total of $21 . The next month she rented 8 movies and 4 video games for a total of $49 . Find the rental cost for each movie and each video game.

Answers

Answer 1

Answer: x = price movie = 4.25
y = price game = 5.50

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Let f be a function of two variables that has continuous partial derivatives and consider the pointsA(8, 9),

B(10, 9),

C(8, 10),

and

D(11, 13).

The directional derivative of f at A in the direction of the vector AB is 9 and the directional derivative at A in the direction of

AC is 2. Find the directional derivative of f at A in the direction of the vector AD.

(Round your answer to two decimal places.)

Answers

Answer:

The directional derivative of f at A in the direction of $\vec{u}$ AD is 7.

Step-by-step explanation:

Step 1:

Directional of a function f in direction of the unit vector $\vec{u}=(a,b)$ is denoted by $D\vec{u}f(x,y)$ ,

$D\vec{u}f(x,y)=f_(x)\left ( x ,y\right ).a+f_(y)(x,y).b$ .

Now the given points are

$A(8,9),B(10,9),C(8,10) and D(11,13)$ ,

Step 2:

The vectors are given as

AB = (10-8, 9-9),the direction is

$\vec{u}_(AB) = (AB)/(\left \| AB \right \|)=(1,0)$

AC=(8-8,10-9), the direction is

$\vec{u}_(AC) = (AC)/(\left \| AC \right \|)=(0,1)$

AC=(11-8,13-9), the direction is

$\vec{u}_(AD) = (AD)/(\left \| AD \right \|)=\left ((3)/(5),(4)/(5) \right )$

Step 3:

The given directional derivative of f at A $\vec{u}_(AB)$ is 9,

$D\vec{u}_(AB)f=f_(x) \cdot 1 + f_(y)\cdot 0\nf_(x) =9$

The given directional derivative of f at A $\vec{u}_(AC)$ is 2,

$D\vec{u}_(AB)f=f_(x) \cdot 0 + f_(y)\cdot 1\nf_(y) =2$

The given directional derivative of f at A $\vec{u}_(AD)$ is

$D\vec{u}_(AD)f=f_(x) \cdot (3)/(5) + f_(y)\cdot (4)/(5)$

$D\vec{u}_(AD)f=9 \cdot (3)/(5) + 2\cdot (4)/(5)$

$D\vec{u}_(AD)f= (27+8)/(5) =7$

The directional derivative of f at A in the direction of $\vec{u}_(AD)$ is 7.

A block has a volume of 0.07 m3 and a density of 3,500 kg/m3. What's the force of gravity acting on the block (and weight) in the air?

Answers

W = mass * acceleration
and the gravity acceleration is know as 9.81 m/s^2
so we need to calculate the mass ,
from the givens , mass = density * volume
m= 3500*0.07 = 245 kg
subs. in W = m*g ,
W= 245 * 9.81
W = 2403.45 N

Answer:

The Correct answer to this question for Penn Foster Students is: 2401 N

Step-by-step explanation:

the angle of depression from a plane to the airport is 34°. the pilot reports that the plane's altitude is 3200 feet . find the horizontal distance between the plane and the airport to the nearest foot

Answers

$look\ at\ the\ picture\n\ncot34^o=(x)/(3200)\n\ncot34^o\approx1.4826\n\n(x)/(3200)=1.4826\ \ \ \ /\cdot3200\n\nx=4744.32\ (ft.)\approx4744\ (ft.)\leftarrow answer$

Increase 92 by 35%. need full explanation

Answers

Answer:

124.2

Step-by-step explanation:

increase 92 by 35% would be to multiply 92 by 135%

92(135%)=92(1.35)=124.2

Please could with some help of: solve 4x + 11 < 23

Answers

When dealing with inequalities your main goal is to isolate x. So you do whatever it takes to get X alone on one side.
4x+11<23
4x<12
x<3

x<3
First, you subtract the 11 from both sides of the equation:
4x+11<23
-11<-11
  4x<12
Next, divide both sides of the inequality by 4:
  4x<12
4 < 4
  x<3

Expand the expression and combine like terms:
20(−1.5r+0.75)

Answers

its definatley 5r...is this on your answer choice?

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