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IceJOKER [234]
3 years ago
13

8x + 6 + 2x = 12 + 4x​

Mathematics
1 answer:
weeeeeb [17]3 years ago
4 0

Answer:

x=1

Step-by-step explanation:

8x+6+2x=12+4x

10x+6=12+4x

     -6   -6

10x=6+4x

-4x      -4x

6x=6

x=1

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2.The number of grams A of a certain radioactive substance present at time, in yearsfrom the present, t is given by the formulaA
professor190 [17]

Answer:

Given that,

The number of grams A of a certain radioactive substance present at time, in years

from the present, t is given by the formula

A=45e^{-0.0045(t)}

a) To find the initial amount of this substance

At t=0, we get

A=45e^{-0.0045(0)}A=45e^0

We know that e^0=1 ( anything to the power zero is 1)

we get,

A=45

The initial amount of the substance is 45 grams

b)To find thehalf-life of this substance

To find t when the substance becames half the amount.

A=45/2

Substitute this we get,

\frac{45}{2}=45e^{-0.0045(t)}

\frac{1}{2}=e^{-0.0045(t)}

Taking natural logarithm on both sides we get,

\ln (\frac{1}{2})=-0.0045(t)^{}(-1)\ln (\frac{1}{2})=0.0045(t)\ln (\frac{1}{2})^{-1}=0.0045(t)\ln (2)=0.0045(t)0.6931=0.0045(t)t=\frac{0.6931}{0.0045}t=154.02

Half-life of this substance is 154.02

c) To find the amount of substance will be present around in 2500 years

Put t=2500

we get,

A=45e^{-0.0045(2500)}A=45e^{-11.25}A=45\times0.000013=0.000585A=0.000585

The amount of substance will be present around in 2500 years is 0.000585 grams

4 0
1 year ago
PLEASE HELP 20 POINTS! Hunter and his children went into a movie theater and will buy bags of popcorn and
Blababa [14]
I need the answer because i need to ask a question sry!
4 0
3 years ago
<img src="https://tex.z-dn.net/?f=-3%5Csqrt%7B45y%C2%B3%7D" id="TexFormula1" title="-3\sqrt{45y&sup3;}" alt="-3\sqrt{45y&sup3;}"
GarryVolchara [31]

Answer:

-9A · √(5yA)

Step-by-step explanation:

The coefficient -3 stays the same.

45 factors into 5·9, which is helpful because 9 is a perfect square.

Thus, √45 = 3√5.

y cannot be factored.  It stays under the radical.

A³ can be factored into A² (a perfect square) and A.

Thus,

-3√(45yA³) = -3 · 3√5 · √y · A · √A, or

                   = (-3)(3)(A) · √(5yA), or

                    = -9A · √(5yA)

4 0
3 years ago
What's three equivalent ratios to 12/14
andreyandreev [35.5K]
An equavalent ratio of 12\24 is 3\4
7 0
3 years ago
Read 2 more answers
What can I multiply 4/3 by to make it 1⅓​, jk what's up
Simora [160]

1.<u>3 </u>x 1= 1.<u>3 </u>hope this helped

7 0
3 years ago
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