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3 years ago

What is the equation in standard form of the line that passes through the point (1, 24) and has a slope of -0.6.

Mathematics

1 answer:

lana [24]3 years ago

6 0

Answer:

0.6x+y=24.6

Step-by-step explanation:

y-y1=m(x-x1)

y-24=-0.6(x-1)

y=-0.6x+0.6+24

y=-0.6x+24.6

y-(-0.6x)=24.6

y+0.6x=24.6

0.6x+y=24.6

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A culture of bacteria has an initial population of 41000 bacteria and doubles every 5 hours. Using the formula P_t = P_0\cdot 2^

vodomira [7]

Answer:

285541

Step-by-step explanation:

According To The Question,

Given, A culture of bacteria has an initial population of 41000 bacteria and doubles in every 5 hours & $P_{t} = P_{i}*(2)^{\frac{d}{t} }$ .

Now, for the population of bacteria in the culture after 14 hours is $P_{t}$ . We have Initial Population( $P_{i}$ )=41000 , d=14 & t=5 .

Put These Value in Above Formula, We get

$P_{t} = 41000*(2)^{\frac{14}{5} }$

$P_{t} = 41000*2^{2.8}$

$P_{t} = 41000*(6.9644)$

$P_{t} =$ 285540.5847 ≈ 285541

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3 years ago

Solve for n. 10n = 6 Simplify your answer as much as possible.

Ipatiy [6.2K]

Answer:

0.6 as a decimal or 3/5 as a fraction

Step-by-step explanation:

8 0

3 years ago

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Give the value of the digit 8 in each number.

Anna71 [15]

Answer:

1) Hundreadth

2) Ten

3) Thousandths

4) Hundred

6 0

2 years ago

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Please help i have a c

Sergeu [11.5K]

Answer: the last option

Step-by-step explanation:

the top right is I, the top left is II, the bottom left is III, and the bottom right is IV

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3 years ago

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An isosceles triangle’s altitude will bisect its base. Which expression could be used to find the area of the isosceles triangle

omeli [17]

Answer:

$\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}$

Step-by-step explanation:

The length of the base is the distance between the points 4+2i and 10+4i, so

$\text{Base}=|10+4i-(4+2i)|=|10+4i-4-2i|=|6+2i|=\sqrt{6^2+2^2}=\\ \\=\sqrt{36+4}=\sqrt{40}$

The middle point of the base is placed at point

$\dfrac{4+2i+10+4i}{2}=\dfrac{6i+14}{2}=7+3i$

The length of the height is the distance between the points 5+9i and 7+3i

$\text{Height}=|5+9i-(7+3i)|=|5+9i-7-3i|=|-2+6i|=\sqrt{(-2)^2+6^2}=\\ \\=\sqrt{4+36}=\sqrt{40}$

So, the area of the triangle is

$A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}$

4 0

2 years ago