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2 years ago

Which equation is in standard form and represents a line with slope –1 through the point (–3, 5)?

Mathematics

1 answer:

likoan [24]2 years ago

7 0

I hope this helps you

slope = -1 x'= -3 y'=5

slope. (x'-x)=y'-y

-1. (-3-x)=5-y

3+x=5-y

y=2-x

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Si gasto el 90% de mis ahorros, me queda la decima parte de los que habia ahorrado?

barxatty [35]

Answer:

Step-by-step explanation:

100% - 90% = 10%

10% = 0.10 = 1/10

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2 years ago

Log 3 x=4 pls and thx

Fantom [35]

Answer:

Step-by-step explanation:

Using the law of logarithms

• $log_{b}$ x = n ⇔ x = $b^{n}$

given

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2 years ago

PLEASE HELP!

meriva

The time taken for the population of the pig to reach 1000 will be almost four years.

<h3>What is a function?</h3>

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Six guinea pigs are released in an area with no natural predators.

The guinea pig population quadruples every year.

Write a function P that represents the guinea pig population at a given time T measured in years.

Then the function will be

$\rm P = 6 (4)^T$

Then the inverse function of P will be

$\rm T = 6 (4)^P\\\\\\P \ln 4 = \ln \left (\dfrac{T}{6} \right )\\\\\\P = \dfrac{\ln (T/6)}{\ln 4}$

Then the time taken for the population of the pig to reach 1000 will be

$\rm 1000 = 6 (4)^T\\\\\\166.667 = 4^T\\\\\\T = 3.69 \\\\\\T \approx 4 \ years$

More about the function link is given below.

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8 0

1 year ago

Element X decays radioactively with a half life of 13 minutes. If there are 560 grams

deff fn [24]

The time taken for the element X to decay from 560 grams to 150 grams is 24.7 mins

<h3>How to determine the number of half-lives </h3>

Original amount (N₀) = 560 g
Amount remaining (N) = 150 g
Number of half-lives (n) =?

2ⁿ = N₀ / N

2ⁿ = 560 / 150

2ⁿ = 3.73

Take the log of both side

Log 2ⁿ = Log 3.73

nLog 2 = Log 3.73

Divide both side by Log 2

n = Log 3.73 / Log 2

n = 1.9

<h3>How to determine the time </h3>

Number of half-lives (n) = 1.9
Half-life (t½) = 13 mins

Time (t) =?

t = n × t½

t = 1.9 × 13

t = 24.7 mins

Learn more about half life:

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1 year ago

Rewrite each fraction with a denominator of 24.<br><br> 3/8 and 7/6

jeka94

Answer:

3/8=9/24

7/6=28/24

Step-by-step explanation:

$\frac{3}{8}\cdot \frac{3}{3}=\frac{9}{24}$

$\frac{7}{6}\cdot \frac{4}{4}=\frac{28}{24}$

8 0

2 years ago