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3 years ago

A cone has a base radius of 7 centimeters and a height of 21 centimeters.

Mathematics

1 answer:

Alex777 [14]3 years ago

7 0

D is the answer...........

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Which table shows a proportional relationship between weight and price?

ch4aika [34]

Answer:

bottom right one

Step-by-step explanation:

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3 years ago

What is 13^2*10 A.1690 B.1700 C.1800 D.169000

shutvik [7]

A. 1690.

You can get this answer by doing 13 to the power of 2 and then multiplying that answer by 10.

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4 years ago

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What is the tenth term of the sequence described by the rule? A(n)=−9+5(n−1)

UkoKoshka [18]

Answer:

Step-by-step explanation:

Replace n by 10 in the rule a(n) = -9 + 5(n - 1):

a(10) = -9 + 5(9) = 45 - 9 = 46

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3 years ago

36/48= x/4 what is the number first x

serg [7]

X = 3 because you simplify 36/48 and it equals 3/4

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3 years ago

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This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex

olga nikolaevna [1]

$f(x_1,\ldots,x_n)=x_1+\cdots+x_n=\displaystyle\sum_{i=1}^nx_i$

${x_1}^2+\cdots+{x_n}^2=\displaystyle\sum_{i=1}^n{x_i}^2=4$

The Lagrangian is

$L(x_1,\ldots,x_n,\lambda)=\displaystyle\sum_{i=1}^nx_i+\lambda\left(\sum_{i=1}^n{x_i}^2-4\right)$

with partial derivatives (all set equal to 0)

$L_{x_i}=1+2\lambda x_i=0\implies x_i=-\dfrac1{2\lambda}$

for $1\le i\le n$ , and

$L_\lambda=\displaystyle\sum_{i=1}^n{x_i}^2-4=0$

Substituting each $x_i$ into the second sum gives

$\displaystyle\sum_{i=1}^n\left(-\frac1{2\lambda}\right)^2=4\implies\dfrac n{4\lambda^2}=4\implies\lambda=\pm\frac{\sqrt n}4$

Then we get two critical points,

$x_i=-\dfrac1{2\frac{\sqrt n}4}=-\dfrac2{\sqrt n}$

$x_i=-\dfrac1{2\left(-\frac{\sqrt n}4\right)}=\dfrac2{\sqrt n}$

At these points we get a value of $f(x_1,\cdots,x_n)=\pm2\sqrt n$ , i.e. a maximum value of $2\sqrt n$ and a minimum value of $-2\sqrt n$ .

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4 years ago