14 hours ago

Jose has been keeping a record of the distance he bikes and the time it takes him. He travels at the same unit rate each time an

d plots the distances for particular times. Which point on the graph did Jose plot incorrectly if he is representing a proportional relationship?

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zzz [12365]

The provided number is 0.555, which can also be expressed as

$0+ \frac{1}{10}*5 + \frac{1}{100}* 5+ \frac{1}{1000} * 5$

In examining the digits post-decimal, each subsequent digit decreases to 1/10 of the preceding one.

Thus, the assertion that "the value of the 5 in the thousands place is ten times as great as the 5 in the hundredth place" is incorrect.

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2 months ago

AnnZ [12381]

Answer:

The distance from the point (0,1,1) to the specified line is zero.

Step-by-step explanation:

Considering the parametric equations of the line,

x=2t, y=5-2t, z=1+t

In order to calculate the distance from (0,1,1), we must remove t from the equations above, such that

$y=5-2t=5-x\implies x+y=5=4+1=4+z-t=4+z-\frac{1}{2}x$

$\implies 3x+2y-2z-8=0\hfill (1)$

whose direction ratios are (l,m,n)=(3,2,-2) and the distance from point (a,b,c)=(0,1,1) is defined as

$\frac{al+bm+cn}{\sqrt{l62+m^2+n^2}}=\frac{(3\times 0)+(2\times 1)+(-2)(1)}{\sqrt{3^2+2^2+(-2)^2}}=\frac{0+2-2}{\sqrt{17}}=0$

The distance between the point (0,1,1) and (1) amounts to zero. Therefore, the point (0,1,1) is located on the line (1).

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2 months ago

AnnZ [12381]

Answer:

According to my cupcake recipe, it yields $12$ cupcakes and calls for $1\frac{1}{2}$ sticks of butter. I can only purchase whole sticks of butter.

Consequently, a single whole stick of butter will suffice to prepare $100$ cupcakes.

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2 months ago