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3 years ago

This pattern follows the "multiply by 3" rule. What is the next number in the pattern?

Mathematics

1 answer:

viva [34]3 years ago

3 0

Answer:

A. 243

Step-by-step explanation:

81 multiplied by 3

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Estimating the quotient 57.8 divided 81

rodikova [14]

It would be.703 i think hope this helps

5 0

3 years ago

What is the vertex of the graph of y = −1(x − 2)2 + 3

Alona [7]

$Vertex: \ (2,3)$

<h2>Explanation:</h2>

The vertex form of the equation of a parabola is given by the following form:

$f(x)=a(x-h)^2+k \\ \\ Where: \\ \\ a:Leading \ Coefficient \\ \\ (h,k):Vertex \ of \ the \ parabola$

In this exercise, we have the following equation:

$y=-(x-2)^2+3$

From here, we can conclude that:

$Leading \ coefficient: \ -1 \\ \\ Vertex: \ (2,3)$

Since the leading coefficient is less than zero, the parabola open downward. So, the graph is shown below and the vertex has been indicated.

<h2>Learn more:</h2>

Finding leading coefficient: brainly.com/question/1469367

#LearnWithBrainly

7 0

3 years ago

Find the exact value of sin2 theta given sin theta =5/13, 90°<theta <180°

Zepler [3.9K]

Now, we know that 90°< θ <180°, that simply means the angle θ is in the II quadrant, where sine is positive and cosine is negative.

$\bf sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{hypotenuse}{13}}\impliedby \textit{now let's find the \underline{adjacent side}}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}$

$\bf \pm\sqrt{13^2-5^2}=a\implies \pm\sqrt{144}=a\implies \pm 12 =a \implies \stackrel{II~quadrant}{-12=a}
\\\\\\
therefore \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{-12}}{\stackrel{hypotenuse}{13}}
\\\\
-------------------------------\\\\
sin(2\theta )\implies 2sin(\theta )cos(\theta )\implies 2\left(\frac{5}{13} \right)\left( \frac{-12}{13} \right)\implies -\cfrac{120}{169}$

3 0

3 years ago

vDetermine if a Poisson experiment is described, and select the best answer: Suppose we knew that the average number of typos in

goldenfox [79]

Answer:

probability that a randomly selected page that contains only text will contain no typos that is

P(x=0) = $e^{-0.08}$ = 0.923

Step-by-step explanation:

<u>Poisson distribution</u>:-

Explanation of the Poisson distribution :-

The Poisson distribution can be derived as a limiting case of the binomial

distribution under the conditions that

i) p is very small

ii) n is very large

ii) λ = np (say finite

The probability of 'r' successes = $\frac{e^{-\alpha }\alpha^r }{r!}$

Given the average number of typos ∝ = 0.08 per page.

probability that a randomly selected page that contains only text will contain no typos that is = $p(x=0) = \frac{e^{-0.08 }\(-0.08)^0 }{0!}$

After calculation P(x=0) = $e^{-0.08}$ = 0.923

probability that a randomly selected page that contains only text will contain no typos =0.923

5 0

2 years ago

Wich number is the principal square root of 49

myrzilka [38]

A principle square root of a real number that's not negative, such as 49, is the square root of that number that is not negative.

If you take the square root of 49, you get either -7 or 7, since both $7^{2}$ and $(-7)^{2}$ equal 49. However, the principle square root would be A) 7, since it's not negative.

3 0

2 years ago