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4 years ago

A rectangle has an area of 24 square units and a side length of 2 3/4 units. Find the other side length of the rectangle

Mathematics

1 answer:

Studentka2010 [4]4 years ago

4 0

Length is 12, Width 2, and Area is 24

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Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.

qwelly [4]

Answer:

$\displaystyle \frac{dy}{dt}=-\frac{33}{8}$

$\displaystyle \frac{dx}{dt}=\frac{3}{2}$

Step-by-step explanation:

x and y are differentiable functions of t, and we are given the equation:

$xy=6$

First, let's differentiate both sides of the equation with respect to t. So:

$\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6]$

By the Product Rule and rewriting:

$\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0$

Therefore:

$\displaystyle y\frac{dx}{dt}+x\frac{dy}{dt}=0$

We want to find dy/dt when x = 4 and dx/dt = 11.

Using our original equation, find y when x = 4:

$\displaystyle (4)y=6\Rightarrow y=\frac{3}{2}$

Therefore:

$\displaystyle \frac{3}{2}\left(11\right)+(4)\frac{dy}{dt}=0$

Solve for dy/dt:

$\displaystyle \frac{dy}{dt}=-\frac{33}{8}$

We want to find dx/dt when x = 1 and dy/dt = -9.

Again, using our original equation, find y when x = 1:

$(1)y=6\Rightarrow y=6$

Therefore:

$\displaystyle (6)\frac{dx}{dt}+(1)\left(-9)=0$

Solve for dx/dt:

$\displaystyle \frac{dx}{dt}=\frac{3}{2}$

5 0

3 years ago

1.3 miles + 3.5 miles

Rainbow [258]

I think its 4.8 miles, dont hold me to that though

3 0

3 years ago

Read 2 more answers

Total vending machine sales were $2300 for the month of May. A 10% commission is earned in these sales.

bazaltina [42]

Answer:

Amount of commission = $230

Step-by-step explanation:

Given:

Total sales = $2,300

Commission percent = 10%

Find:

Amount of commission

Computation:

Amount of commission = Total sales x Commission percent

Amount of commission = $2,300 x 10%

Amount of commission = $230

7 0

3 years ago

Are these linear functions or nonlinear functions, please help ive only gotten fake answers and im on a timed test i just need h

Diano4ka-milaya [45]

Answer:

y = -4 + 2x is linear.

$y=3-x^2$ is not.

Step-by-step explanation:

An equation is linear if its graph forms a straight line.

7 0

2 years ago

What is the sum of the finite arithmetic series? 29 + 32 + 35+ 38+41+ ... +59

masha68 [24]

Answer:

234

Step-by-step explanation:

i honestly don't know but i just added them all up together

5 0

3 years ago