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3 years ago

11

A mini-cube measures 1.5 in. wide. A mega-cube is 5 times as wide. What is the volume of the mega-cube, rounded to the nearest t

enth?

2 answers:

Daniel [21]3 years ago

7 0

Answer:

the answer is 421.9 in³

Paul [167]3 years ago

3 0

My guess is it is round to 7.5

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Write an equation in point-slope form and slope-intercept form for each line.

Kobotan [32]

A: Slope-intercept form: y = 2 x − 1 Point-slope form: y − 7 = 2 ⋅ ( x − 4 )

B: Slope-intercept form: y = 4 x + 7 Point-slope form: y + 1 = 4 ⋅ ( x + 2 )

C: Slope-intercept form: y = 1/2 x − 8 Point-slope form: y + 4 = 1/2 ⋅ ( x − 8 )

7 0

3 years ago

Consider the line y= −2/9x-7. Find the equation of the line that is perpendicular to this line and passes through the point , (2

OLEGan [10]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

$y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{9}} x-7\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so then we can say that

$\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{-\cfrac{2}{9}} ~\hfill \stackrel{reciprocal}{-\cfrac{9}{2}} ~\hfill \stackrel{negative~reciprocal}{-\left( -\cfrac{9}{2} \right)\implies \cfrac{9}{2}}}$

so we're really looking for the equation of a line whos slope is 9/2 and passes through (2 , 3)

$(\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{9}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{\cfrac{9}{2}}(x-\stackrel{x_1}{2}) \\\\\\ y-3=\cfrac{9}{2}x-9\implies \boxed{y=\cfrac{9}{2}x-6}$

now as far as the parallel line

keeping in mind that parallel lines have exactly the same slope, so we're really looking for the equation of a line whose slope is -2/9 and passes through (2 , 3)

$(\stackrel{x_1}{2}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{2}{9} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{2}{9}}(x-\stackrel{x_1}{2}) \\\\\\ y-3=-\cfrac{2}{9}x+\cfrac{4}{9}\implies y=-\cfrac{2}{9}x+\cfrac{4}{9}+3\implies \boxed{y=-\cfrac{2}{9}x+\cfrac{31}{9}}$

6 0

2 years ago

Carter got the following scores on science tests: 90, 82, 88, 78, 93 What is the mean absolute deviation? A. 4.96 B. 12.00 C. 86

mart [117]

First we find the mean (average)
(90 + 82 + 88 + 78 + 93) / 5 = 431/5 = 86.2

now we find the absolute value of the difference of the data points and the mean

90 - 86.2 = 3.8....| 3.8 | = 3.8
82 - 86.2 = -4.2...| -4.2 | = 4.2
88 - 86.2 = 1.8....| 1.8 | = 1.8
78 - 86.2 = -8.2 | -8.2| = 8.2
93 - 86.2 = 6.8....| 6.8| = 6.8

now we find the mean (average) of those values
(3.8 + 4.2 + 1.8 + 8.2 + 6.8) / 5 = 24.8 / 5 = 4.96 <== the MAD

4 0

4 years ago

Which of the following is a behavioral adaptation of the Venus fly trap?

olga2289 [7]

An adaption is when the prey touches its mouth it closes

6 0

4 years ago

Read 2 more answers

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Bond [772]

Answer:

261

Step-by-step explanation:

4 0

3 years ago