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Mkey [24]
3 years ago
8

Pls help very confused​

Mathematics
1 answer:
irinina [24]3 years ago
6 0

9514 1404 393

Answer:

  • 8, 20, 32, 44, 56
  • arithmetic

Step-by-step explanation:

The words "common difference" tell you this is an arithmetic sequence. A geometric sequence will have a <em>common ratio</em> between terms.

__

The common difference is added to each term to get the next.

  first term: 8 -- given

  second term: first term + common difference = 8 + 12 = 20

  third term: 20 +12 = 32

  fourth term: 32 +12 = 44

  fifth term: 44 +12 = 56

The first 5 terms of this arithmetic sequence are 8, 20, 32, 44, 56.

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marin [14]

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From the table attached,

x-intercept of the linear function is, the value of 'x' when f(x) = 0  

x = 3 [x-intercept]

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g(x) = 2+\sqrt[3]{3x+1}

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g(x) = 0

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Therefore, the x-intercept of function 'f' is different or greater than the x-intercept of function g.  

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4 0
3 years ago
Read 2 more answers
a spherical balloon is deflated at a rate of 256pi/3 cm^3/sec. at what rate is the radius of the balloon changing when the radiu
Hunter-Best [27]
What you need to look for is \frac { dr }{ dt } when r=8.

Now:

Volume\quad of\quad a\quad sphere:\\ \\ V=\frac { 4 }{ 3 } \pi { r }^{ 3 }

\therefore \quad \frac { dV }{ dr } =\frac { 4 }{ 3 } \pi \cdot 3{ r }^{ 2 }=4\pi { r }^{ 2 }\\ \\ \therefore \quad \frac { dr }{ dV } =\frac { 1 }{ \frac { dV }{ dr }  } =\frac { 1 }{ 4\pi { r }^{ 2 } }

And:\\ \\ \frac { dV }{ dt } =-\frac { 256\pi  }{ 3 } \\ \\ Therefore:\\ \\ \frac { dr }{ dt } =\frac { dr }{ dV } \cdot \frac { dV }{ dt }

\\ \\ =\frac { 1 }{ 4\pi { r }^{ 2 } } \cdot -\frac { 256\pi  }{ 3 } \\ \\ =-\frac { 256 }{ 12 } \cdot \frac { \pi  }{ \pi  } \cdot \frac { 1 }{ { r }^{ 2 } }

\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec
3 0
3 years ago
The sum of two numbers is 63. The larger number is 23 more than the smaller number. What are the numbers?
Sunny_sXe [5.5K]

x+y=63

x=y+23

y+23+y =63

2y +23 = 63

2y =40

y=40/2 =20

y = 20

x = 20+23=43

the numbers are 20 & 43

5 0
2 years ago
Read 2 more answers
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