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3 years ago

8

What is 0.18 repeating simplified

1 answer:

Radda [10]3 years ago

8 0

As a fraction it’s, 2/11

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Jeannie works 5 hours on Tuesday, 3 hours on Wednesday, and 4.5 hours on Thursday. If h represents her hourly pay rate, which ex

goldenfox [79]

Answer:12.5h

Step-by-step explanation:

First, you would add 5+3+4.5. This equals 12.5. H represents her hourly pay rate. In order to find how much she earned, you would have to multiply 12.5(h).

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3 years ago

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10 people meet, and each person shakes every other person's hand once. How many handshakes occurred?

Alex777 [14]

45 handshakes would take place! i've attached how i figured this out (pardon the scribbles)

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3 years ago

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The factorization of a (x + y + z) + b(x + y + z) + c(x + y + z) is

levacccp [35]

Answer:

(a+b+c) (x+y+z)

Step-by-step explanation:

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3 years ago

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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

3 years ago

Write the equation of a line in standard form that has x-intercept (P,0) and y-intercept (0,R).

ExtremeBDS [4]

Answer:

$Rx+Py=RP$

Step-by-step explanation:

The points on the straight line are (P, 0) and (0, R).

The slope would be

$m=\frac{R-0}{0-P}=-\frac{R}{P}$

And $b=R$ , because the y-intercept is at (0, R).

So, the equation of this line would be

$y=-\frac{R}{P} x+R$

Where we multiply the equation by $P$

$Py=-Rx+RP$

Therefore, the equation that represents this line is

$Rx+Py=RP$

<h2>So, the right answer is B.</h2>

7 0

3 years ago