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Law Incorporation [45]
3 years ago
5

Find a formula for the described function. an open rectangular box with volume 6 m3 has a square base. express the surface area

sa of the box as a function of the length of a side of the base, x.
Mathematics
1 answer:
S_A_V [24]3 years ago
4 0
<span>x^2 * h = 6
   
h = 6%2Fx%5E2
   
:
       
Surface area of an open box
   
S.A. = x^2 + 4(x*h)
   
;
   
Replace h with6%2Fx%5E2
   
S.A. = x^2 + 4(x*6%2Fx%5E2)
   
;
   
Cancel x:
   
S.A. = x^2 + 4(6%2Fx)
   
:
   
f(x) = x^2 + 28%6Fx; is the surface area in terms of x</span>
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3x+10=4x+10 what is the answer?
ValentinkaMS [17]

Answer:

x is 0.

Step-by-step explanation:

 Subtract both sides by 3x. Then, you will have 10= x+10. Subtract 10 on both sides to isolate x, then you will have x=0. Therefore, this equation on both sides has a solution of 0. Hope this helps!

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Estimate the limit<br><br> A <br> B <br> C<br> D
Lera25 [3.4K]

Answer:

C. \lim_{x\rightarrow f(x)=2

Step-by-step explanation:

Given problem is \lim_{x\rightarrow \frac{\pi}{4}}\frac{tan(x)-1}{x-\frac{\pi}{4}}.

Now we need to evaluate the given limit.

If we plug \x=\frac{\pi}{4}, into given problem then we will get 0/0 form which is an indeterminate form so we can apply L Hospitals rule

take derivative of numerator and denominator

\lim_{x\rightarrow \frac{\pi}{4}}\frac{tan(x)-1}{x-\frac{\pi}{4}}

=\lim_{x\rightarrow \frac{\pi}{4}}\frac{sec^2(x)-0}{1-0}

=\frac{sec^2(\frac{\pi}{4})-0}{1-0}

=\frac{(\sqrt{2})^2}{1}

=\frac{2}{1}

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Hence choice C is correct.

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3 years ago
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A regression analysis of 117 homes for sale produced the following model, where price is in thousands of dollars and size in squ
Vsevolod [243]

Answer:

A) m = 0.062

B) 202.87 thousand dollars

C) Original price = 116.07 thousand dollars. $6000 is called the error term.                                            

Step-by-step explanation:

We are given the following in the question:

Price = 47.87+0.062(size)

The above equation is regression equation where price is in thousand dollars and size in square feet.

Let p be the prize and s be the size.

p(s) = 47.87 + 0.062s

Comparing it to linear equation, we have,

y= mx + c

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m = 0.062

c = 47.87

A) slope of the line

The slope of line tells the rate of change. Thus, it tells the change in price if the size of house is increased by 1 square feet.

The price of house increases by 0.062 thousand dollars if the size of house is increased by 1 square feet.

B) Price of house

We are given s = 2500. Putting this value in the equation.

p(2500) = 47.87 + 0.062(2500) =202.87

Thus, the price of a 2500 square feet house is 202.87 thousand dollars.

C) We are given s = 1100

Putting the value in the equation:

p(1100) = 47.87 + 0.062(1100) =116.07

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The buyer is asking for 110.07 thousand dollars.

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