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2 years ago

Please help me I'm stuck on this one

Mathematics

1 answer:

Colt1911 [192]2 years ago

6 0

Ok i should know this i had the same test sum goes to 0 5/8 goes to 5/8 and m goes to -5/8

hope this helps!

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HELP ME FIND X AND Y: 2x = 4y + 6 and 3x - y = -1

Naddika [18.5K]

Answer:

x = -1

y = -2

Step-by-step explanation:

To get y by itself:

3x - y = -1

-y = -1 - 3x

y = 1 + 3x

Solve for x with substitution:

2x = 4(1 + 3x) + 6

2x = 4 + 12x + 6

2x = 10 + 12x

-10x = 10

x = -1

Plug the x value into 3x - y = -1

3(-1) - y = -1

-3 - y = -1

-y = 2

y = -2

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2 years ago

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Find the length of XY

Pachacha [2.7K]

Since this is a right triangle, you can use the pythagorean theorem, $leg^2+leg^2=hypotenuse^2$ , to find XY. Since we know that 15 and 17 are our legs and that XY is the hypotenuse, we can solve it as such:

$15^2+17^2=XY^2\\ 225+289=XY^2\\ 514=XY^2\\ \sqrt{514}=XY$

In short, XY is √514, or 22.67 rounded to the hundreths, units long.

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2 years ago

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A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is checked 60 minutes later, it is

Luba_88 [7]

Answer:

$P(t) = 100e^{0.0251t}$

The doubling time is of 27.65 minutes.

Step-by-step explanation:

Exponential equation of growth:

The exponential equation for population growth is given by:

$P(t) = P(0)e^{kt}$

In which P(0) is the initial value and k is the growth rate.

A freshly inoculated bacterial culture of Streptococcus contains 100 cells.

This means that $P(0) = 100$ . So

$P(t) = 100e^{kt}$

When the culture is checked 60 minutes later, it is determined that there are 450 cells present.

This means that $P(60) = 450$ , and we use this to find k. So

$450 = 100e^{60k}$

$e^{60k} = 4.5$

$\ln{e^{60k}} = \ln{4.5}$

$60k = \ln{4.5}$

$k = \frac{\ln{4.5}}{60}$

$k = 0.0251$

$P(t) = 100e^{0.0251t}$

Doubling time:

This is t for which P(t) = 2P(0) = 200. So

$200 = 100e^{0.0251t}$

$e^{0.0251t} = 2$

$\ln{e^{0.0251t}} = \ln{2}$

$0.0251t = \ln{2}$

$t = \frac{\ln{2}}{0.0251}$

$t = 27.65$

The doubling time is of 27.65 minutes.

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3 years ago

Can someone please help me

Alina [70]

Yes with what ? are u single ?

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2 years ago

The radius of a circle is 19 miles. What is the circle's circumference?<br> Use 3.14 for .

insens350 [35]

Answer:

119.38

Step-by-step explanation:

the circumference is πd so it is 19 X 2, which is 38, times π, which is 38π. this equals 119.38

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2 years ago

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