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SSSSS [86.1K]
3 years ago
15

Fill in the blank. increasing the side length of a cube by a factor of 3 increases the volume by a factor of ___________.

Mathematics
1 answer:
german3 years ago
6 0
We have that
scale factor=3

we know that
[volume new cube]=[scale factor]³*[volume original cube]
[volume new cube]=[3]³*[volume original cube]-----> 27*[volume original cube]

the answer is
 <span>the volume increases  by a factor of 27</span>
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How to solve for vertex form<br> y = -x^2 + 4x – 1
Nastasia [14]
Answer: y= -(x-2)^2+3
6 0
3 years ago
Can someone put this equation in slope intercept form and explain please ill give brainliest
antoniya [11.8K]
Slope intercept form: y= 2x-5


Explanation:
1: Simplify -1 • x to -x
2: Simplify 1 • y to y
3: 1 • x to x
4: Regroup terms
5: Add x to both sides
6: Simplify x - 5 + x to 2x-5

Hope this helps.
5 0
3 years ago
The area of a rectangle is 120m squared the length of the rectangle is 15m what is the width?
jeka57 [31]
Area of a rectangle = <em>width × length
</em>Width of a rectangle = 
\frac{Area}{Length}<em>
</em><em />The width of this rectangle =  
\frac{120}{15}
                                               =   8 cm

3 0
3 years ago
It is known that 5% of the population over the age of 30 in a city is a university graduate. Among the 100 people chosen randoml
Novosadov [1.4K]

Answer:

A) 1/3200000

B) 19/20

Step-by-step explanation:

Percentage population of graduates = 5

Proportion of graduates from 100 random samples = percentage × number of samples

Proportion of graduates = 0.05 × 100 = 5

Probability of having 5 graduates among the 100 random samples:

P(1 graduate) = possible outcome / total required outcome

P(1 graduate) = (5 / 100) = 1/20

P(5 graduates) = (1/20)^5

P(5 graduates) = 1/3200000

Probability of never being a graduate = (1 - probability of being a graduate)

Probability of never being a graduate = ( 1 - (1/20)) = 19/20

5 0
3 years ago
(5 points)
Schach [20]

Answer:

The original Slope is y=-1/3x-2

The perpendicular slope would be y=3x+b

Step-by-step explanation:

Original Slope:

You already have the y-interecpet, (0,-2), and you know two points (0,-2) and (-6,0), so you can find the slope with (y1-y2)/(x1-x2) so in this case, it would be (0-(-2))/(-6-0)= -1/3 and you can find y=1/3x-2.

Perpendicular Slope:

The slope of any perpendicular line would be the reciprocal of the original. So the reciprocal of -1/3 is 3. The b can be any real number because no matter the y-intercept the slope would still be perpendicular

3 0
3 years ago
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