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2 years ago

14

David wants to buy a game system and his favorite game.The game costs $25 and is 1/5 of the price of the game system.How much do

es the game system cost?

1 answer:

alukav5142 [94]2 years ago

6 0

multiply 25 by 5 = 125

the game system cost 125

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After the closing of the mill, the town of Sawyerville experienced a decline in its population.

ycow [4]

Step-by-step explanation:

P(t) = 12,000 (2)^(-t/15)

9,000 = 12,000 (2)^(-t/15)

0.75 = 2^(-t/15)

ln(0.75) = ln(2^(-t/15))

ln(0.75) = (-t/15) ln(2)

-15 ln(0.75) / ln(2) = t

t = 6.23

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2 years ago

Write a paragraph that has an inverted triangle shape. The topic sentence should be, “Trees are helpful.” Include at least three

yaroslaw [1]

Why trees are helpful........................................
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Very easy just state facts about trees in a format like this. Google why trees are helpful and some facts should pop up. A good paragraph should have at least five (5) good strong sentences.

4 0

2 years ago

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Explain whether 13t−3t is equivalent to 3t−13t. Support your answer by evaluating the expressions for t=2.

djverab [1.8K]

Answer:

Not equivalent

Step-by-step explanation:

13t - 3t = (13 - 3)t = 10t
3t - 13t = (3 - 13)t = -10t
10t ≠ -10t

They are not equivalent

<u>When t = 2</u>

13t - 3t = 13*2 - 3*2 = 26 - 6 = 20
3t - 13t = 3*2 - 13*2 = 6 - 26 = -20

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1 year ago

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You are researching the penguin population in the Falkland Islands. There are 1000 penguins in the beginning of the first year:

kolbaska11 [484]

Answer:

The formula to determine the population of penguins at the end of the 7th year is:

$P_7=1.3^7\cdot P_0=6.275\cdot 1000=6275$

Step-by-step explanation:

With this information, we know that the initial population at end of year 0 is 1000 penguins.

The first year will born 500 chicks (50% of the population) and also 20% of the total population will die.

We can then model the population for the end of year 1 as:

$P_1=P_0+0.5P_0-0.2P_0=1.3P_0$

As this dynamic will continue with the years, we can generalize as:

$P_2=1.3P_1=1.3\cdot (1.3P_0)=1.3^2P_0\\\\P_n=1.3^nP_0$

Then, the value of the population at the end of the 7th year should be:

$P_7=1.3^7\cdot P_0=6.275\cdot 1000=6275$

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2 years ago

A parallelogram whose vertices have coordinates R(1, -1), S(6, 1), T(8, 5), and U(3, 3) has a shorter diagonal of ___ . 5 √(13)

butalik [34]

Answer:

$|SU|=\sqrt{13}$

Step-by-step explanation:

The given parallelogram has vertices R(1, -1), S(6, 1), T(8, 5), and U(3, 3) .

Recall the distance formula;

We use the distance formula to determine the length of the diagonals.

For diagonal R(1,-1) and T(8,5), We have;

$|RT|=\sqrt{(8-1)^2+(5--1)^2}$

$|RT|=\sqrt{(7)^2+(6)^2}$

$|RT|=\sqrt{49+36}$

$|RT|=\sqrt{85}$

For the diagonal S(6,1) U(3,3)

$|SU|=\sqrt{(6-3)^2+(5-3)^2}$

$|SU|=\sqrt{(3)^2+(2)^2}$

$|SU|=\sqrt{9+4}$

$|SU|=\sqrt{13}$

Therefore the shorter diagonal is:

$|SU|=\sqrt{13}$

4 0

2 years ago