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Mathematics

1 answer:

Mamont248 [21]3 years ago

8 0

Answer: Gas

Explanation: Gas is a colorful comment in the galaxy that is found between stars.

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Help<br> What is the SSS postulate for triangle congruence?

Kitty [74]

Answer:

Side, Side, Side

Step-by-step explanation:

If 3 sides in one triangle are congruent to 3 sides in another triangle, then the triangles are congruent. This is called the Side-Side-Side (SSS) Postulate and it is a shortcut for proving that two triangles are congruent.

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3 years ago

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Jacob consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Jacob's body

sasho [114]

Answer: 0.87400mg of caffeine.

Step-by-step explanation:

You have

N(t)=N0(e^−rt)(1)

as a general Exponential decay equation where N0 is the amount at t=0, N(t) is the amount remaining at time t and r is the exponential decay constant. You're specifically given that after 10 hours, the decay factor is 0.2601, i.e.,

N(10)/N(0)=N0(e^−10r)/N0(e^0)= e^−10r=0.2601 . .(2)

Taking the last 2 parts of (2) to the power of 0.1t gives

e^−rt=0.2601^.1t . .(3)

This means that

N(t)=N0(e^−rt)=N0(0.2601^.1t). .(4)

Also,

N(2.56)N(1.56)=N0(0.2601.1(2.56))N0(0.2601.1(1.56))=0.2601.1(2.56−1.56)=0.2601^.1

= 0.87400mg of caffeine.

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3 years ago

A student needs to make a square cardboard piece. The cardboard should have a perimeter equal to at least 92 inches. The functio

Illusion [34]