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borishaifa [10]
3 years ago
7

analyze this situation and determine how much cookie dough is "wasted" when 3-inch cookies are cut. then have each team member c

alculate the amount of dough wasted when a cookie of a different diameter is used. compare results

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
8 0

Answer:

The result is the same.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information:

  • square 12 inches wide
  • 3-inch diameter cookies are cut => its radius is: 1.5 inches

Hence we can find some information:

  • The area of the square is: 12^{2}  = 144 square inches
  • The area of a cookies is: r^{2}π = 3.14*1.5^{2} = 7.065 square inches
  • The total number of 3-inch cookies are: 4*4 =16

=> The total area of the cookies is: 16* 7.065 = 113.04 square inches

=> how much cookie dough is "wasted" when 3-inch cookies are cut:

= The area of the square - The total area of the cookies

= 144 - 113.04 = 30.96  square inches

If the diameter is increased to 4 inches => its radius: 2 inches, we have:

  • The area of a cookies is: r^{2}π = 2^{2} *3.14 = 12.56 square inches
  • The total number of 3-inch cookies are: 3*3 =9

=> The total area of the cookies is: 9* 12.56 = 113.04 square inches

=> how much cookie dough is "wasted" when 4-inch cookies are cut:

= The area of the square - The total area of the cookies

= 144 - 113.04 = 30.96  square inches

The result is the same.

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Answer:

Step-by-step explanation:

If f(x)=x²

g(x) = (3x)²

because : g(0)=0 and g(1)= (3×1)² =3 passes  through A(1;3) and O(0;0).

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2 years ago
Can you tell how old a lion is by looking at its nose? A professor at the University of Wisconsin-Madison conducted a study of d
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Answer:

The residual age of a lion whose nose is 11% black and is 1.9 years old is -0.15.

Step-by-step explanation:

In regression, the difference between the observed value of the dependent variable (<em>y</em>) and the predicted value (\hat y) is known as the residual (<em>e</em>).

e=y-\hat y

The least square regression line is used to predict the value of the response or dependent variable (<em>y</em>) from the known value of the explanatory or independent variable (<em>x</em>).

The general form of a least square regression line is:

\hat y=\alpha +\beta x

The equation of the least squares regression line to predict the relationship between age (in years) and proportion of blackness in the lion’s nose is:

\hat y=0.8790+10.6471 x

Compute the predicted value of <em>y</em> for <em>x</em> = 0.11 as follows:

\hat y=0.8790+10.6471 x

  =0.8790+(10.6471\times 0.11)\\=0.8790+1.171181\\=2.050181\\\approx 2.05

The predicted value of <em>y</em> is, \hat y=2.05.

The observed value of the age of lion whose nose is 11% black is, <em>y</em> = 1.90.

Compute the residual age of this lion as follows:

e=y-\hat y

  =1.90-2.05\\=-0.15

Thus, the residual age of a lion whose nose is 11% black and is 1.9 years old is -0.15.

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Answer:

Quadratic functions are those where their rate of change changes at a constant rate. Exponential functions are those where their rate of change is proportional to itself.

An example of a quadratic function would be the shape that a ball makes when you throw it. Gravity causes a constant acceleration, the ball slows down as it is moving up, and then it speeds up as it comes down.

An example of an exponential function would be the population of a bacterium as long as there is enough space and nutrients or how your money grows with compound interest in a bank.

A quadratic function is one in the form

f(x)=ax2+bx+c  

It’s rate of change (first derivative) is linear.

f′(x)=2ax+b  

The rate of the rate of change (second derivative) is constant.

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It’s rate of change is another exponential function.

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So exponentials are the solutions to the differential equation

g′=kg

Step-by-step explanation:

Yes. : )

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