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3 years ago

The perfect square game is played as follows: player 1 says a positive integer, then

Mathematics

1 answer:

avanturin [10]3 years ago

6 0

Answer: the number can be 9

Step-by-step explanation:

we want that

n + n - 1 + n-2 + .... + 2 + 1 = X

X must be a perfect square.

And the last number, 1, must be said by player 1, so n must be an odd number.

n + (n - 1) + (n -2) + ... + (n - n + 1) = n*n - (1 + 2 + 3 + .... + n)

and we know that:

(1 + 2 + 3 + 4 + ... + n) = n*(n + 1)/2

So we have:

x = n*n - n*(n + 1)/2 = n*n - n*n/2 - n/2 = n*n/2 - n/2 = n*(n + 1)/2

Now we want to find X such that is a perfect square and n must be an odd integer.

You can start giving different values for n until you reach a value of X that is a perfect square, for example, if you take n = 9, we have X = 36.

and 36 = 6*6

So if player 9, he will win always.

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Chapter 12 F

marshall27 [118]

Answer:

(m+n) -a = r

Step-by-step explanation:

first, you have to find what m+n is because that is their total budget, then you have to remove how much their apartment costs from their budget, because r is the amount of free cash they have. once A is subtracted from m+n, you have r

8 0

3 years ago

Leah invested $950 in an account paying an interest rate of 1.5% compounded continuously. Assuming no deposits or withdrawals ar

Contact [7]

$\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$950\\ r=rate\to 1.5\%\to \frac{1.5}{100}\dotfill &0.015\\ t=years\dotfill &6 \end{cases} \\\\\\ A=950e^{0.015\cdot 6}\implies A=950e^{0.09}\implies A\approx 1039.5\implies \stackrel{\textit{rounded up}}{A=1040}$

6 0

4 years ago

You owe 958.62 on a credit card at 9.7 percent apr the minimum payment is 105.00 how much goes toward principal if you make the

weqwewe [10]

APR stands for Annual Percentage Rate and in this problem, we are given APR is equal to 9.7%
Per month rate = 9.7% / 12 months = 0.808%

Total credit interest for 12 months = 958.62 *0.097 = $92.97
In one month = $92.97/12 = $7.7475
If you pay at the end of the first month:
Payment = 105.00
The amount goes to principal:
Amount =$105 - $ 7.7475
Amount = $142.25

7 0

3 years ago

SYSTEMS OF LINEAR EQUATIONS - Tell whether the ordered pair is a soulution if the given system: (2,-4); {y - 2x = -8, 4y + 13x =

Leviafan [203]

No, it is not. Because it doesn't satisfy the first equation.

6 0

3 years ago

What is b and c in this expression?<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B15%5E7%7D%20%7D" id="TexFormula1" tit

ozzi

The value of b and c is 4 and 7.

<h3>What is algebra?</h3>

Algebra is the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Algebra is divided into different sub-branches such as elementary algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra.

Elementary algebra: elementary algebra, branch of mathematics that deals with the general properties of numbers and the relations between them. Algebra is fundamental not only to all further mathematics and statistics but to the natural sciences, computer science, economics, and business.

From the given question,

$\sqrt[4]{15^7}$ This expression can also be written in the form of $a^\frac{b}{c}$

We will convert $\sqrt[4]{15^7}$ to the required form:

$(15^\frac{7c}{4b} )\left \{ {{a=15^\frac{7c}{4b} } \atop {b=b} , c = c} \right.$

Hence,

From the above equation we get the value of b and c is 4 and 7.

Learn more about algebra here:brainly.com/question/17260216

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8 0

2 years ago