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faltersainse [42]
3 years ago
8

How many numbers are in the list 2008, 2003, 1998,............. 8, 3?

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
7 0

Answer:

402

Step-by-step explanation:

First, we reverse the list to become 3,8...1998,2003,2008. Then we add 2 to each number to get 5, 10..... 2000, 2005, 2010. Finally we divide each number by 5 to get 1, 2,..... 400, 401, 402, so there are 402 numbers in total.

Helga [31]3 years ago
5 0

Answer:

I don't understand what you are trying to ask? Sorry

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the price of a technology stock was $9.53 yesterday. Today, the price rose to $9.66. Find the percentage increase. Round your an
galben [10]
So, 9.66 - 9.53 will then be 0.13, so if we take 9.66 to be the 100%, what is 0.13 off of it in percentage then?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
9.66&100\\
0.13&p
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For what values of θ on the polar curve r=θ, with 0≤θ≤2π , are the tangent lines horizontal? Vertical?
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Given that r=\theta, then r'=1

The slope of a tangent line in the polar coordinate is given by:

m= \frac{r'\sin\theta+r\cos\theta}{r'\cos\theta-r\sin\theta}

Thus, we have:

m= \frac{\sin\theta+\theta\cos\theta}{\cos\theta-\theta\sin\theta}



Part A:

For horizontal tangent lines, m = 0.

Thus, we have:

\sin\theta+\theta\cos\theta=0 \\  \\ \theta\cos\theta=-\sin\theta \\  \\ \theta=- \frac{\sin\theta}{\cos\theta} =-\tan\theta

Therefore, the <span>values of θ on the polar curve r = θ, with 0 ≤ θ ≤ 2π, such that the tangent lines are horizontal are:

</span><span>θ = 0

</span>θ = <span>2.02875783811043
</span>
θ = <span>4.91318043943488



Part B:

For vertical tangent lines, \frac{1}{m} =0

Thus, we have:

\cos\theta-\theta\sin\theta=0 \\  \\ \Rightarrow\theta\sin\theta=\cos\theta \\  \\ \Rightarrow\theta= \frac{\cos\theta}{\sin\theta} =\sec\theta

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</span>θ = <span>4.91718592528713</span>
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3 years ago
Need helps asap. i will give brainliest
3241004551 [841]

The expression as a power is x¹⁰.

Given, the expression is xx⁴x⁴x

In exponents we have the power rule while multiplying.

the rule is that when bases are same, powers are added.

Exponent multiplication is the process of multiplying two terms with exponents. Depending on the base and the power, specific rules apply when multiplying exponents.

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base is same, power should be added.

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Hence the expression as a power is x¹⁰.

Learn more about Exponents here:

brainly.com/question/11975096

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