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1 year ago

The numbers of points that a player must accumulate to reach the next level of a video

Mathematics

1 answer:

ludmilkaskok [199]1 year ago

3 0

Answer:

a_n=125×20^(n-1)

Step-by-step explanation:

a_n=x×y^(n-1)

a_3=50000=x×y^2

a_5=20000000=x×y^4

y^2=20000000/50000=400

y=20;x=125

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Find the standard deviation for the set of data. (17,26,28,9,30, 29,6,21,23}

gogolik [260]

Using it's concept, the standard deviation for the given data-set is of 8.22.

<h3>What are the mean and the standard deviation of a data-set?</h3>

The mean of a data-set is given by the <u>sum of all values in the data-set, divided by the number of values</u>.

The standard deviation of a data-set is given by the square root of the <u>sum of the differences squared between each observation and the mean, divided by the number of values</u>.

The mean for this problem is:

M = (17 + 26 + 28 + 9 + 30 + 29 + 6 + 21 + 23)/9 = 21

Hence the standard deviation is:

$S = \sqrt{\frac{(17-21)^2 + (26-21)^2 + (28-21)^2 + \cdots + (21-21)^2 + (23-21)^2}{9}} = 8.22$

More can be learned about the standard deviation of a data-set at brainly.com/question/12180602

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7 0

2 years ago

( 8 x 400 ) + ( 8 x 9 )

Over [174]

Answer:

3,272

Step-by-step explanation:

8 x 400 = 3200

8 x 9= 72

3200 + 72 = 3,272

5 0

2 years ago

2ᵃ = 5ᵇ = 10ⁿ.<br> Show that n = <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bab%7D%7Ba%20%2B%20b%7D%20" id="TexFormula1" titl

11Alexandr11 [23.1K]

There are two ways you can go about this: I'll explain both ways.
<span>
</span><span>Solution 1: Using logarithmic properties
</span>The first way is to use logarithmic properties.

We can take the natural logarithm to all three terms to utilise our exponents.

Hence, ln2ᵃ = ln5ᵇ = ln10ⁿ becomes:
aln2 = bln5 = nln10.

What's so neat about ln10 is that it's ln(5·2).
Using our logarithmic rule (log(ab) = log(a) + log(b),
we can rewrite it as aln2 = bln5 = n(ln2 + ln5)

Since it's equal (given to us), we can let it all equal to another variable "c".

So, c = aln2 = bln5 = n(ln2 + ln5) and the reason why we do this, is so that we may find ln2 and ln5 respectively.

c = aln2; ln2 = $\frac{c}{a}$
c = bln5; ln5 = $\frac{c}{b}$

Hence, c = n(ln2 + ln5) = n( $\frac{c}{a}$ + $\frac{c}{b}$ )
Factorise c outside on the right hand side.

c = cn( $\frac{1}{a}$ + $\frac{1}{b}$ )
1 = n( $\frac{1}{a}$ + $\frac{1}{b}$ )
$\frac{1}{n}$ = $\frac{1}{a}$ + $\frac{1}{b}$

$\frac{1}{n}$ = $\frac{a + b}{ab}$
and thus, n = $\frac{ab}{a + b}$

<span>Solution 2: Using exponent rules
</span>In this solution, we'll be taking advantage of exponents.

So, let c = 2ᵃ = 5ᵇ = 10ⁿ
Since c = 2ᵃ, 2 = $\sqrt[a]{c}$ = $c^{\frac{1}{a}}$

Then, 5 = $c^{\frac{1}{b}}$
and 10 = $c^{\frac{1}{n}}$

But, 10 = 5·2, so 10 = $c^{\frac{1}{b}}$ · $c^{\frac{1}{a}}$
∴ $c^{\frac{1}{n}}$ = $c^{\frac{1}{b}}$ · $c^{\frac{1}{a}}$

$\frac{1}{n}$ = $\frac{1}{a}$ + $\frac{1}{b}$
and n = $\frac{ab}{a + b}$

4 0

3 years ago

I need help with this!

sashaice [31]

Answer:

Step-by-step explanation:

Let the width be w centimeters.

Then the length = w + 7.

The area A is found from the length multiplied by the width.

330 = w(w + 7) = w^2 + 7w.

Now we can rearrange this equation to form a quadratic, as follows:

The factorization of the quadratic is:

(w + 22)(w - 15) = 0

Therefore we find that:

width = 15 centimeters

length = 22 centimeters

4 0

2 years ago

Read 2 more answers

Cual es el resultado de f(x)=−7x−1

Goryan [66]

The function of the linear equation shows that the slope(m) = -7, the x-intercepts is (-1/7,0), and the y-intercepts is (0,-1)

<h3>What is the function of f(x) of a linear equation?</h3>

The function of a linear equation takes the form y = ax + b. In this situation, the values of y can be determined when x = 0, and the values of x can be determined when y = 0

From the given information:

y = f(x) = -7x - 1

We can determine the:

Slope (m)
x-intercepts, and
y-intercepts.

y = -7x - 1

Slope (m) = -7

Set the values of y = 0 to determine the x-intercepts.

0 = -7x - 1

7x = - 1

x = -1/7

x-intercepts = (-1/7, 0)

Set the values of x = 0 to find the y-intercepts.

y = -7(0) - 1

y = - 1

y-intercepts = (-1, 0)

Learn more about the function of a linear equation here:

brainly.com/question/15602982

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7 0

1 year ago