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2 years ago

8

a sloth walks 2/5 mile in each 1/3 hour. write a complex fraction to represent the sloths unit rate of speed. then determine the

unit rate of speed in miles per hour

1 answer:

insens350 [35]2 years ago

5 0

1 1/5 is the answer

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Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.

blagie [28]

<h3>Option D</h3><h3>The expression can be used to find the price of a $400 telescope after a 32% markup is: 400 + 400 (0.32 )</h3>

<em><u>Solution:</u></em>

Given that,

Price of telescope = $ 400

Mark up = 32 %

To find: Cost after mark up

The formula used is:

<h3>Cost after mark up = Price of telescope + 32 % of Price of telescope</h3>

Therefore,

Cost after mark up = 400 + 32 % of 400

$\text{Cost after mark up } = 400 + \frac{32}{100} \times 400\\\\\text{Cost after mark up } = 400 + 0.32 \times 400\\\\\text{Cost after mark up } = 400 + 128\\\\\text{Cost after mark up } = 528$

Thus cost after mark up is $ 528 and expression is 400 + 400 (0.32 )

7 0

2 years ago

EXAMPLE 5 If F(x, y, z) = 4y2i + (8xy + 4e4z)j + 16ye4zk, find a function f such that ∇f = F. SOLUTION If there is such a functi

Valentin [98]

If there is such a scalar function <em>f</em>, then

$\dfrac{\partial f}{\partial x}=4y^2$

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}$

$\dfrac{\partial f}{\partial z}=16ye^{4z}$

Integrate both sides of the first equation with respect to <em>x</em> :

$f(x,y,z)=4xy^2+g(y,z)$

Differentiate both sides with respect to <em>y</em> :

$\dfrac{\partial f}{\partial y}=8xy+4e^{4z}=8xy+\dfrac{\partial g}{\partial y}$

$\implies\dfrac{\partial g}{\partial y}=4e^{4z}$

Integrate both sides with respect to <em>y</em> :

$g(y,z)=4ye^{4z}+h(z)$

Plug this into the equation above with <em>f</em> , then differentiate both sides with respect to <em>z</em> :

$f(x,y,z)=4xy^2+4ye^{4z}+h(z)$

$\dfrac{\partial f}{\partial z}=16ye^{4z}=16ye^{4z}+\dfrac{\mathrm dh}{\mathrm dz}$

$\implies\dfrac{\mathrm dh}{\mathrm dz}=0$

Integrate both sides with respect to <em>z</em> :

$h(z)=C$

So we end up with

$\boxed{f(x,y,z)=4xy^2+4ye^{4z}+C}$

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2 years ago

Write a number sentence that will calculate a reasonable estimate for the quotient of 3325÷5

Doss [256]

Answer:

3325/5=665

Step-by-step explanation:

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2 years ago

What is the surface area of the pyramid? 12ft 10ft 10ft

jonny [76]

Answer:

2h x (l+b)

2x10 X (12+10)

20 X 22

44 cm cube is your answer...

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2 years ago

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A stock has produced returns of 11.9 percent, 5.6 percent, 16.4 percent, and -4.2 percent over the past four years, respectively

EleoNora [17]

The average annual return is

$\displaystyle ((1+0.119)(1+0.056)(1+01.64)(1-0.042))^{\frac{1}{4}}-1=\sqrt[4]{1.317687706368}-1\\\\ \approx 7.14\%$

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2 years ago