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3 years ago

11

Taylor wants to install new carpet in her living room. The room length is 15 ft and the width is 15 ft. If the cost of the carpe

t is $8 per square foot, what will be the total cost to carpet Betty's living room?

1 answer:

irga5000 [103]3 years ago

7 0

Answer:

$1,800.

Step-by-step explanation:

15 x 15 = 225

225 x 8 = 1800

Feel free to let me know if you need more help! :)

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3 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.

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2 years ago

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gtnhenbr [62]

Answer:

Step-by-step explanation:

There's no "solving" to be done because its an expression, but im assuming the question wants you to factor.

$b^4-3b^3-10b^2$

First, factor out a b^2

$b^2(b^2-3b-10)$

Factor the trinomial. What two numbers multiply to equal -10 but add to equal -3? They are -5 and +2

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2 years ago

Need help factoring this binomial: x^4-1?

natima [27]

Use the difference of squares factorization - that for any numbers a and b, (a-b)(a+b)=a^2-b^2.

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