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2 years ago

Compare 3.14 to 31.4 which is greater or least equal

Mathematics

2 answers:

expeople1 [14]2 years ago

5 0

3.14 is smaller. the more the decimal is to the right the larger the number is

Hunter-Best [27]2 years ago

5 0

3.14 is smaller becuase it has a 1 and the 1 is a big thing in the problem

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What is the surface area of the following rectangular prism? Express your answer in square millimeters.

Black_prince [1.1K]

Answer:

28,800

Step-by-step explanation:

thats the answer

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2 years ago

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Jayden deposited $7100 in a savings account with simple interest. Three months later, the account held $7,259.75. what was the i

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Answer:

Step-by-step explanation:

7259.75 - 7100 = 159.75

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3 years ago

The temperature function (in degrees Fahrenheit) in a three dimensional space is given by T(x, y, z) = 3x + 6y - 6z + 1. A bee i

madam [21]

You're looking for the extreme values of $T(x,y,z)=3x+6y-6z+1$ subject to $x^2+y^2+z^2=9$ . The Lagrangian is

$L(x,y,z,\lambda)=3x+6y-6z+1+\lambda(x^2+y^2+z^2-9)$

with critical wherever the partial derivatives vanish:

$L_x=3+2\lambda x=0\implies x=-\dfrac3{2\lambda}$

$L_y=6+2\lambda y=0\implies y=-\dfrac3\lambda$

$L_z=-6+2\lambda z=0\implies z=\dfrac3\lambda$

$L_\lambda=x^2+y^2+z^2-9=0$

Substituting the first three solutions into the last equation gives

$\dfrac9{4\lambda^2}+\dfrac9{\lambda^2}+\dfrac9{\lambda^2}=9$

$\implies\lambda=\pm\dfrac32$

$\implies x=1,y=2,z=-2\text{ or }x=-1,y=-2,z=2$

At these points, we have

$T(1,2,-2)=28$

$T(-1,-2,2)=-26$

so the highest temperature the bee can experience is 28º F at the point (1, 2, -2), and the lowest is -26º F at the point (-1, -2, 2).

6 0

2 years ago

0.81 as it’s simple form

jeka94

as a fraction : 81/100

6 0

2 years ago