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Natasha2012 [34]
3 years ago
9

What is the value of y in the equation 4 + y = −3? (1 point) 7, 1, −1, −7

Mathematics
1 answer:
Marta_Voda [28]3 years ago
8 0

Hello!

\large\boxed{y = -7}

4 + y = -3

Isolate for y.

Subtract both sides by 4:

4 - 4 + y = -3 - 4

y = -7

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marissa [1.9K]

Answer:

x = -4

Step-by-step explanation:

Take out 3x from both sides:

5x - 3x    =    3x - 3x

2x           =   0

2x + 9 = 1

Take out 9 from both sides:

9 - 9             =       1 - 9

0                  =      -8

Divide 2 from both sides:

\frac{2x}{2} = \frac{-8}{2}

x = -4

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If the radioactive half-life of a substance is 20 days, and there are 5 grams of it initially. When will the amount left be 2 gr
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Answer: 26.4\ \text{days}

Step-by-step explanation:

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Half life of radioactive substance is T_{\frac{1}{2}}=20\ \text{days}

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Amount left at any time is given by

\Rightarrow A=A_o2^{\dfrac{-t}{T_{\frac{1}{2}}}}\\\\\Rightarrow 2=52^{\dfrac{-t}{20}}\\\\\Rightarrow 0.4=2^{\dfrac{-t}{20}}\\\\\Rightarrow 2^{\dfrac{t}{20}}=2.5\\\\\Rightarrow \dfrac{t}{20}\ln 2=\ln (2.5)\\\\\Rightarrow t=\dfrac{20\ln (2.5)}{\ln 2}\\\\\Rightarrow t=26.4\ \text{days}

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