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3 years ago

Need answer asap due midnight today

Mathematics

1 answer:

Pavel [41]3 years ago

4 0

Equation is x^2 + 7x
Proof is by setting that equal to 144, then subtracting it to move it to the other side
Simplified to (x-9) (x+16)
Answers are 9 and -16

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What is the GCF of 96x5 and 64x2?

Lady_Fox [76]

Answer:

Step-by-step explanation:

32 is the GCF of the whole numbers and up to x2 can go into both

The answer should be 32x2

Hope this helps

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3 years ago

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Which algebraic expression represents “ six less than a number “

nevsk [136]

Answer:

x-6

Step-by-step explanation:

i believe this is correct.

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3 years ago

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Solve 4x + 10-30<br> X<5<br> x>5<br> X<10<br> X>10

LekaFEV [45]

Answer:

Step-by-step explanation:

4x + 10 - 30

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3 0

3 years ago

Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 3%. If the rate of deca

Hitman42 [59]

Answer:

The half-life of the radioactive substance is 135.9 hours.

Step-by-step explanation:

The rate of decay is proportional to the amount of the substance present at time t

This means that the amount of the substance can be modeled by the following differential equation:

$\frac{dQ}{dt} = -rt$

Which has the following solution:

$Q(t) = Q(0)e^{-rt}$

In which Q(t) is the amount after t hours, Q(0) is the initial amount and r is the decay rate.

After 6 hours the mass had decreased by 3%.

This means that $Q(6) = (1-0.03)Q(0) = 0.97Q(0)$ . We use this to find r.

$Q(t) = Q(0)e^{-rt}$

$0.97Q(0) = Q(0)e^{-6r}$

$e^{-6r} = 0.97$

$\ln{e^{-6r}} = \ln{0.97}$

$-6r = \ln{0.97}$

$r = -\frac{\ln{0.97}}{6}$

$r = 0.0051$

$Q(t) = Q(0)e^{-0.0051t}$

Determine the half-life of the radioactive substance.

This is t for which Q(t) = 0.5Q(0). So

$Q(t) = Q(0)e^{-0.0051t}$

$0.5Q(0) = Q(0)e^{-0.0051t}$

$e^{-0.0051t} = 0.5$

$\ln{e^{-0.0051t}} = \ln{0.5}$

$-0.0051t = \ln{0.5}$

$t = -\frac{\ln{0.5}}{0.0051}$

$t = 135.9$

The half-life of the radioactive substance is 135.9 hours.

6 0

3 years ago

I’ll give brainliest to who ever answers correct

nasty-shy [4]

Answer:

im gonna guess b

Step-by-step explanation:

sry if wrong

5 0

3 years ago

Need answer asap due midnight today​

Need answer asap due midnight today