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lions [1.4K]
2 years ago
11

2.10 volume ratios

Mathematics
1 answer:
Colt1911 [192]2 years ago
7 0

Answer:

  • 512 : 1331

Step-by-step explanation:

<u>The volume is the product of three dimensions, so the ratio of volumes is the cube of the scale factor:</u>

  • k = 8/11
  • k³ = (8/11)³ = 512 / 1331
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Which exponential function is represented by the values in the table?
svlad2 [7]

Here we use the equation

y = a(b)^x

Taking points (0,4), (1,2)

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So we have

a = 4, b = 1/2

Therefore , required equation is

y = 4(1/2)^x

7 0
3 years ago
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find the exponential regression equation for the data points (-4, 0.75), (-2, 6), (3, 28), and (5, 162)
zubka84 [21]
<span>for that, what you need is a calculator... like say a TI(texas instruments) 83 or 83plus or higher, will do regressions, if you have an android device like a phone or tablet, you can also get an app from the play store "Andie's graph", is a TI calculator emulator, it works just like the calculator itself, you'd only need the ROM 

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<span>I could give you a direct link to one, but this site has issues with links, if you do a quick search in google for "keisan exponential regression calculator", it should be the first link, is from the Casio site.
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<span>you could do regressions in a spreadsheet as well.... you could check online for an "addin" or "extension", if you use MS Excel, pretty sure there are some addins for regressions.
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if I recall correctly, Excel does regressions natively, but the addins are just frontends, is all, just some added interfacing.

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3 years ago
3^x= 21875. What is the value of X?
horsena [70]

Answer:

If,

{3}^{x}  = 2187 \\  =  > x = 7 \\  =  =  =  =  =  =  =

But 3^x ≠ 21875,if x is a whole number.

<h2>HOPE U UNDERSTOOD</h2><h3>THANKS★</h3><h3>Any doubts?COMMENT PLEASE</h3>
8 0
3 years ago
Read 2 more answers
What is the range of the graph
Montano1993 [528]

Answer:

Range: all real numbers greater than or equal to  2

Step-by-step explanation:

The range is the possible numbers that the output can take

Y can be any number greater than or equal to 2

Range: all real numbers greater than or equal to  2

8 0
3 years ago
Find equation of set of points pieces that its distance from the point 3, 4, -5 and -2, 1, 4 are equal.
Gnesinka [82]

Answer:

Step-by-step explanation:

Suppose we a point P(x,y,z) such that its distance from either the point A(3,4,-5) or B(-2,1,4) is the same.

Using this information we can formula:

distance AP = distance BP

first, let's find the distance from AP, using the distance formula.

r = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2 + (z_1 - z_2)^2}

AP = \sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2}

similarly, we can find the distance BP

BP = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}

since both distances are exactly the same we can equate them

AP = BP

\sqrt{(3 - x_2)^2 + (4 - y_2)^2 + (-5 - z_2)^2} = \sqrt{(-2 - x_2)^2 + (1 - y_2)^2 + (4 - z_2)^2}

we can simplify it a bit squaring both sides, and getting rid of the subscripts.

(3 - x)^2 + (4 - y)^2 + (-5 - z)^2 = (-2 - x)^2 + (1 - y)^2 + (4 - z)^2

what we have done here is formulated an equation which consists of any point P that will have the same distance from (3,4,-5) and (-2,1,4).

To put it more concretely,

This is the equation of the the plane from that consists of all points (P) from which the distance from both (3,4,-5) and (-2,1,4) are equal.

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