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3 years ago

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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Step-by-step explanation:

From the table attached,

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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:

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

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

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

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

$\\ \\ =-\frac { 64 }{ 3{ r }^{ 2 } } \\ \\ When\quad r=8,\\ \\ \frac { dr }{ dt } =-\frac { 64 }{ 3\cdot { 8 }^{ 2 } } =-\frac { 1 }{ 3 } \\ \\ Answer:\quad -\frac { 1 }{ 3 } \quad cm/sec$

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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

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2 years ago

Read 2 more answers

Pls help very confused​

Pls help very confused