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3 years ago

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Reasonableness use the clues to solve the riddle. I am between 24 and 34. you say my name when you count by twos from zero. You

say my name when you count by fives from zero. What number am I?

1 answer:

mamaluj [8]3 years ago

4 0

You are 30 years old

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45% of 156 is what number?

riadik2000 [5.3K]

Answer:

$x = 70.2$

Step-by-step explanation:

<u>Step 1: Make an expression</u>

45% of 156 is what number

$156 * 0.45 = x$

<u>Step 2: Multiply</u>

<u /> $156 * 0.45 = x$

$70.2 = x$

Answer: $x = 70.2$

7 0

4 years ago

Read 2 more answers

The equations that must be solved for maximum or minimum values of a differentiable function w=f(x,y,z) subject to two constrai

sammy [17]

The Lagrangian is

$L(x,y,z,\lambda,\mu)=x^2+y^2+z^2+\lambda(4x^2+4y^2-z^2)+\mu(2x+4z-2)$

with partial derivatives (set equal to 0)

$L_x=2x+8\lambda x+2\mu=0\implies x(1+4\lambda)+\mu=0$

$L_y=2y+8\lambda y=0\implies y(1+4\lambda)=0$

$L_z=2z-2\lambda z+4\mu=0\implies z(1-\lambda)+2\mu=0$

$L_\lambda=4x^2+4y^2-z^2=0$

$L_\mu=2x+4z-2=0\implies x+2z=1$

Case 1: If $y=0$ , then

$4x^2-z^2=0\implies4x^2=z^2\implies2|x|=|z|$

Then

$x+2z=1\implies x=1-2z\implies2|1-2z|=|z|\implies z=\dfrac25\text{ or }z=\dfrac23$

$\implies x=\dfrac15\text{ or }x=-\dfrac13$

So we have two critical points, $\left(\dfrac15,0,\dfrac25\right)$ and $\left(-\dfrac13,0,\dfrac23\right)$

Case 2: If $\lambda=-\dfrac14$ , then in the first equation we get

$x(1+4\lambda)+\mu=\mu=0$

and from the third equation,

$z(1-\lambda)+2\mu=\dfrac54z=0\implies z=0$

Then

$x+2z=1\implies x=1$

$4x^2+4y^2-z^2=0\implies1+y^2=0$

but there are no real solutions for $y$ , so this case yields no additional critical points.

So at the two critical points we've found, we get extreme values of

$f\left(\dfrac15,0,\dfrac25\right)=\dfrac15$ (min)

and

$f\left(-\dfrac13,0,\dfrac23\right)=\dfrac59$ (max)

5 0

4 years ago

PLZ ANSWER ASAP DUE IN A FEW MINS

Len [333]

Answer:

Solution given:

diameter=14cm

radius [r]=14/2=7cm

now

area of semi circle or shaded region: ½πr²=½(3.14*7²)=76.93cm²[approximately]

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3 years ago

A helicopter flying 2,000 feet above the ground spots an airplane flying above. If the horizontal distance between the helicopte

soldi70 [24.7K]

Answer:

The answer- 1254ft

Step-by-step explanation:

You can do the calculator trick and get the answer and round to the tenth

8 0

3 years ago

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What is the reduced fraction form of 81%

belka [17]

This is eassy, I'll show you
From 81%, we get fraction 81/100
After reduced 81 fraction 100, we get...
0,81 [Change into decimal]

7 0

4 years ago