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BaLLatris [955]
3 years ago
7

Write a sequence that has three arithmetic means between 35 and 45

Mathematics
1 answer:
klasskru [66]3 years ago
5 0
45 - 35  = 10 
so we divide by 4  10/4 = 2.5 
The sequence is  35, 37.5, 40, 42.5, 45
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An asprin tablet in a shape of a right circular cylinder has the height of 2/5 cm and the raidus of 1/2cm. the manufacturer also
PSYCHO15rus [73]
Volume of the tablet is height times pi r squared = .4cm x pi x .5^2 = pi cm^3 So, the tablet has a volume of pi cubic centimeters (cc). We want the capsule to have the same volume. The two hemispherical ends put together make one sphere. The volume of a sphere is 4/3 pi r^3. And the cylindrical part is the same formula as the first one, but we don't know what r is, height x pi x r^2. pi cc = height x pie x r^2 + 4/3 pi r^3 Here, we took the value from the original problem and made it equal to the two ends of the capsule (together were the sphere) PLUS the rest (which is a cylinder.) Now, divide everything by pi to factor it out of the equation. cc = height x r^2 + 4/3 r^3 The problem told us that the total length is 5/3 cm, this means the cylinder height + the radius times two = 5/3. (Wish I could draw you a picture) So height in the equation at the beginning of this paragraph is 5/3 - 2r. Now we have volume in cc = (5/3 - 2r)r^2 + 4/3 r^3 = 5/3r^2 - 2r^3 + 4/3r^3 simplified by combining common terms, and written in standard form, volume in cc = 2 r^3 + 5/3 r^2 = 1 = r^2 ( r - 5/3) , factoring out the r^2. this means that r^2 is the reciprocal of r - 5/3, or r^2 = 1/(r - 5/3), and this is a quadratic equation. r^2 - r + .6 = 0 and r^2 -r + .25 = -.6 + .25 by completing the square or (r - .25)^2 = -.35. Solve for r: square root of r - .25 = square root of .35 or .59 r = .84 cm
3 0
3 years ago
PLS HEEEEEEELP 20 POINtS
pashok25 [27]
So first, we want to substitute all variables in.

|8 + -15|

Or,

|-7|

And the bars around it mean absolute value, or how far away it is from 0. In this case, it would be 7.

So your solution is 7.
6 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=E%3D1%2F6%CF%80t%2A2%2A2x" id="TexFormula1" title="E=1/6&pi;t*2*2x" alt="E=1/6&pi;t*2*2x" alig
saul85 [17]

Answer:

i=

8.154845

2tx3

Step-by-step explanation:

8 0
3 years ago
I need help with this ASAP!!
disa [49]

9514 1404 393

Answer:

  (b)  g, h, f

Step-by-step explanation:

The larger the magnitude of the vertical scale factor, the quicker the graph takes on higher values. That makes its appearance narrower.

Here, you want to list the functions in decreasing order of vertical scale factor:

  g(x) . . . scale factor 4

  h(x) . . . scale factor 2

  f(x) . . . scale factor 1/3

7 0
3 years ago
PLS HELP ASAP *50PTS*
vampirchik [111]

Given:

Number = -9.1

To find:

The magnitude (size) of given number.

Solution:

We know that, magnitude of a number is the absolute value of that number.

So, magnitude of -9.1 is

|-9.1|=9.1

Because, absolute value of a number is always positive.

Magnitude of -9.1 is 9.1 because |-9.1|=9.1.

Therefore, the correct option is A.

8 0
3 years ago
Read 2 more answers
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