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3 years ago

3. What is the 9th term in the following sequence? 11, 17, 23, 29, . . . (1 point) 47 53 59 65

1 answer:

5 0

Since the common difference is 6, we can assume that the sequence is arithmetic, with rule
T(n)=6n+5 where T(1)=11
T(9)=6(9)+5=59

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Please help will do anything thank you

kifflom [539]

Answer:

Step-by-step explanation:

a). Stock price arranged as arithmetic sequence will be,

5, 8, 11, 14

b). Since, explicit formula of an arithmetic sequence is given by,

$a_n=a+(n-1)d$

Here, $T_n$ = nth term of the sequence

a = first term

n = number of term

d = common difference

From the table attached,

First term of the sequence 'a' = 5

Common difference 'd' = 8 - 5 = 3

Therefore, explicit formula for the given sequence will be,

$a_n=5+3(n-1)$

$a_n=2+3n$

c). Slope intercept form of the equation will be,

y = 3x + 2

d). Input out values for the graph of the given equation,

x 0 1 2 3

y 2 5 8 11

By using this data we can graph the line.

7 0

3 years ago

Write 4.7 as a mixed number with a fraction in simplest form

andrezito [222]

Answer:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there is

number to the right of the decimal point, place the decimal number over

(

)

. Next, add the whole number to the left of the decimal.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

-5c + 6 = -4 what the first step

ch4aika [34]

Subtract 6 from both sides ( subtract 6 form 6 to get 0 then subtract 6 form -4 to get 2) that’s the first step

7 0

2 years ago

Read 2 more answers

Find the sum o differences.

Hitman42 [59]

The usual!! Just add up 5.03+13.7 which is 18.73. Then add that up with 108 which is 126.73!

5 0

3 years ago

Convert,the complex number into polar form: 4+4i

kow [346]

Z = a + bi
z = 4 + 4i

r² = a² + b²
r² = (4)² + (4)²
r² = 16 + 16
r² = 32
r = 4√(2)
r = 4(1.414)
r = 5.656

$cos\theta = \frac{a}{r}$
$cos\theta = \frac{4}{4\sqrt{2}}$
$cos\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}$
$cos\theta = \frac{4\sqrt{2}}{4\sqrt{4}}$
$cos\theta = \frac{4\sqrt{2}}{4(2)}$
$cos\theta = \frac{4\sqrt{2}}{8}$
$cos\theta = \frac{\sqrt{2}}{2}$
$2(cos\theta) = 2(\frac{\sqrt{2}}{2})$
$2cos\theta = \sqrt{2}$
$2cos\theta = 1.414$

$sin\theta = \frac{b}{r}$
$sin\theta = \frac{4}{4\sqrt{2}}$
$sin\theta = \frac{4}{4\sqrt{2}} * \frac{\sqrt{2}}{\sqrt{2}}$
$sin\theta = \frac{4\sqrt{2}}{4\sqrt{4}}$
$sin\theta = \frac{4\sqrt{2}}{4(2)}$
$sin\theta = \frac{4\sqrt{2}}{8}$
$sin\theta = \frac{\sqrt{2}}{2}$
$2(sin\theta) = 2(\frac{\sqrt{2}}{2})$
$2sin\theta = \sqrt{2}$
$2sin\theta = 1.414$

z = a + bi
z = rcosθ + (rsinθ)i
z = r(cosθ + i sinθ)

z = 4 + 4i
z = 5.656cosθ + (5.656sinθ)i
z = 5.656(cosθ + i sinθ)
z = 5.656(cos45 + i sin45)

$\theta = tan^{-1}\frac{b}{a}$
$\theta = tan^{-1}\frac{4}{4}$
$\theta = tan^{-1}(1)$
$\theta = 45$

The polar form of 4 + 4i is approximately equal to 5.656(cos45 + i sin45).

5 0

3 years ago