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3 years ago

What is the solution to this system of equations ?

Mathematics

1 answer:

Vanyuwa [196]3 years ago

7 0

Answer: x=2,y=6,z=−5

Step-by-step explanation:

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John has 333 colored ribbons described below.

nikdorinn [45]

Answer:

Step-by-step explanation:

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3 years ago

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A bacteria culture starts with 1000 bacteria and the number doubles every 40 minutes. (a) find a formula for the number of bacte

vfiekz [6]

The formula for the number of bacteria at time t is 1000 x (2^t).

The number of bacteria after one hour is 2828

The number of minutes for there to be 50,000 bacteria is 324 minutes.

<h3>What is the number of bacteria after 1 hour?
</h3>

The exponential function that can be used to determine the number of bacteria with the passage of time is:

initial population x (rate of increase)^t

1000 x (2^t).

Population after 1 hour : 1000 x 2^(60/40) = 2828

Time when there would be 50,000 bacteria : In(FV / PV) / r

Where:

FV = future bacteria population = 50,000
PV = present bacteria population = 1000
r = rate of increase = 100%

In (50,000 / 1000)

In 50 / 1 = 3.91 hours x 60 = 324 minutes

To learn more about exponential functions, please check: brainly.com/question/26331578

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2 years ago

How do I solve this?

Ivenika [448]

$\overline{XS}\cong\overline{YT}\Rightarrow 3m+7=4.2m+5\ \ \ |-7\\\\3m=4.2m-2\ \ \ \ |-4.2m\\\\-1.2m=-2\ \ \ \ |:(-1.2)\\\\m=\dfrac{2}{1.2}\\\\m=\dfrac{20}{12}\\\\m=\dfrac{5}{3}\to m=1\dfrac{2}{3}$

$\overline{YS}\cong\overline{XT}\Rightarrow3\dfrac{1}{2}r+2=2r+5\ \ \ \ |-2\\\\3\dfrac{1}{2}r=2r+3\ \ \ \ |-2r\\\\1\dfrac{1}{2}r=3\ \ \ |\cdot2\\\\3r=6\ \ \ \ |:3\\\\r=2$

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3 years ago

What is the shape name<br>please do fast.

vivado [14]

Answer:

$\boxed{\sf Parallelogram}$

Step-by-step explanation:

A parallelogram has opposite parallel sides and it is a quadrilateral.

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3 years ago

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Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base

m_a_m_a [10]

Answer:

Answer Cone Z and Cylinder Y.

Step-by-step explanation:

The relationship between the volume of the cone and the volume of the cylinder with the same height and same base is the volume of the cone is 1/3 of the volume of the cylinder.

The formula for the volume of the cone is :

V = 1/3π $r^{2}$ h

The formula for the volume of the cylinder is :

V = π $r^{2}$ h

Let be the height of the cylinder Y. Therefore the height of the cone Z is 3h, when we put it into the formula we get :

V = 1/3π $r^{2}$ (3h) = π $r^{2}$ h

Therefore Cone Z and Cylinder Y have same volume.

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4 years ago

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