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2 years ago

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Which of the following scenarios demonstrates an exponential decay? A. A tennis tournament in which after each round, half the p

layers are eliminated. B. A decathlon competition in which only the first 10 move to the next competition. C. A game of basketball in which teams are ranked by the most games won the d. None of the above

2 answers:

Sliva [168]2 years ago

6 0

Answer:

A. A tennis tournament in which after each round, half the players are eliminated.

Step-by-step explanation:

antoniya [11.8K]2 years ago

4 0

The correct answer is A. Tennis tournament in which after each round half the players are eliminated. I had this question

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Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is

Katarina [22]

Prove:

The angle inscribed in a semicircle is a right angle.

The inscribed angle theorem states that the angle θ, inscribed in a circle is half the measure of the central angle of the circle. So, if the given is a semi-circle, then the inscribed angle is half of 180, therefore, 90 degrees and a right angle. <span />

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2 years ago

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in one week, 128 cell phones were sold. The following week 37 more cell phones were sold than the week before. How many cell pho

Pani-rosa [81]

$\large\bf{\underline{Given :}}$

128 cellphones were sold in a week
37 more cellphones more were sold than the week before

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ $\large\bf{⟹128+37=165}$

__________________________________________

$\large\bf{\underline{Therefore:}}$

$\bf{Total\: number\:of\: cellphones\:sold\:in\:two\:weeks}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large{⟹128 + 165}$

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎ $\large{⟹293}$

__________________________________________

$\large\bf{\underline{Hence}}$

293 cellphones were sold in given 2 weeks

6 0

2 years ago

In circle O, what is m∠MAJ?

ira [324]

we know that

The measure of the interior angle is the half-sum of the arcs comprising it and its opposite.

so

<u>Find the measure of the angle LAM</u>

m∠LAM is equal to

$\frac{1}{2}*[arc\ KJ+arc\ LM]= \frac{1}{2}*[170+80]\\\\=125\ degrees$

<u>Find the measure of the angle MAJ</u>

we know that

m∠LAM+m∠MAJ= $180$ ° ------> by supplementary angles

m∠MAJ= $(180-125)$

m∠MAJ= $55$ °

therefore

<u>the answer is</u>

The measure of the angle MAJ is $55\ degrees$

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2 years ago

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According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 – 6x8 + x3 – 4x + 3?

scoundrel [369]

we have

$f(x) = 15x^{11} -6x^{8} + x^{3} - 4x + 3$

we know that

<u>The Rational Root Theorem</u> states that when a root 'x' is written as a fraction in lowest terms

$x=\frac{p}{q}$

p is an integer factor of the constant term, and q is an integer factor of the coefficient of the first monomial.

So

in this problem

the constant term is equal to $3$

and the first monomial is equal to $15x^{11}$ -----> coefficient is $15$

So

possible values of p are $1, and\ 3$

possible values of q are $1, 3, 5, and\ 15$

therefore

<u>the answer is</u>

The all potential rational roots of f(x) are

(+/-) $\frac{1}{15}$ ,(+/-) $\frac{1}{5}$ ,(+/-) $\frac{1}{3}$ ,(+/-) $\frac{3}{5}$ ,(+/-) $1$ ,(+/-) $3$

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2 years ago

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Manuel has $600 in a savings account at the beginning of the summer. He wants to have at least $300 in the account at the end of

klasskru [66]

600-28(w)=300
-28(w)=-300
~approximately 10 weeks

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2 years ago

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