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erastovalidia [21]

2 years ago

14

Ms. Johnson owns a cabinet business that installs cabinets in kitchens. Her employees can install 2/3 of a kitchen cabinet set i

n 1/5 of an hour. How many kitchen cabinet sets can be installed by her workers in 1 hour? Express your answer as an improper fraction.

1 answer:

dmitriy555 [2]2 years ago

8 0

Answer:

I don't know

Step-by-step explanation:

hi

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6. Darcy jogs 3 km in 20 min.

SOVA2 [1]

Answer:

a) 9 km

b) 18 km

c) She runs at a constant speed of 9 km/h

Step-by-step explanation:

7 0

2 years ago

Solve this multistep equation <br>12-5-16+3x=-23-9x

allsm [11]

The answer is x= -6/7<span><span></span></span>

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2 years ago

Please help me out with equations in math!<br> Its a starr review!

Alexeev081 [22]

Answer:

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Step-by-step explanation:

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4 0

2 years ago

A competitive knitter is knitting a circular place mat. The radius of the mat is given by the formula

Ilia_Sergeevich [38]

Answer: A. $A'(t)=\frac{4356\pi}{(t+11)^{3}}-\frac{527076\pi}{(t+11)^{5}}$

B. A'(5) = 1.76 cm/s

Step-by-step explanation: <u>Rate</u> <u>of</u> <u>change</u> measures the slope of a curve at a certain instant, therefore, rate is the derivative.

A. Area of a circle is given by

$A=\pi.r^{2}$

So to find the rate of the area:

$\frac{dA}{dt}=\frac{dA}{dr}.\frac{dr}{dt}$

$\frac{dA}{dr} =2.\pi.r$

Using $r(t)=3-\frac{363}{(t+11)^{2}}$

$\frac{dr}{dt}=\frac{726}{(t+11)^{3}}$

Then

$\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]$

$\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}$

Multipying and simplifying:

$\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$

The rate at which the area is increasing is given by expression $A'(t)=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$ .

B. At t = 5, rate is:

$A'(5)=\frac{4356\pi}{(5+11)^{3}} -\frac{527076\pi}{(5+11)^{5}}$

$A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}$

$A'(5)=\frac{2408693760\pi}{4294967296}$

$A'(5)=1.76268$

At 5 seconds, the area is expanded at a rate of 1.76 cm/s.

5 0

2 years ago

8-6x=-28 I need help plzzz

Schach [20]

The answer is 6. 8-6(6) = -28.

3 0

2 years ago

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