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stealth61 [152]
3 years ago
9

−5x+2y=9 y=7x what is x and y

Mathematics
1 answer:
Sedaia [141]3 years ago
5 0

Answer:

{x,y}={1,7}

Step-by-step explanation:

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8. A substance has a half life of 2.347 minutes.
mina [271]

Answer:

a.) 4 half lives have passed

b) 9.388 minutes

Step-by-step explanation:

Formula for exponential growth / decay is given as:

A=A_0b^{\frac{t}{c}}

Where A is the final population

A_0 is the initial population

b is the growth factor

c is the time taken for the growth 'b'

t is the amount of time

Here, we are given that:

A = 6. 9 grams

A_0 = 110.4 grams

b = \dfrac{1}{2}

c = 2.347 min

To find:

a.) Number of half lives taken for the decay.

b.) Total time in the decay.

Solution:

a.) Number of half lives taken for the decay is nothing but equal to \frac{t}{c}.

Putting the values in the formula, we get:

6.9=110.4\times \frac{1}2^{\frac{t}{c}}\\\Rightarrow 6.9=110.4\times 0.5^{\frac{t}{c}}\\\Rightarrow 0.0625=0.5^{\frac{t}{c}}\\\Rightarrow \dfrac{t}{c} =4

Therefore, the answer is:

<em>4 half lives </em>have passed.

b.) Total time of decay. We have to find the value of t here.

From answer of part a.):

\dfrac{t}{c} =4\\\Rightarrow \dfrac{t}{2.347} =4\\\Rightarrow t =\bold{9.388\ min}

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3 years ago
I NEED HELP ASAP MARKING AS BRAINLIST
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Answer:

T A N M B

Step-by-step explanation:

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3 years ago
Shauna makes 24 cupcakes per hour. She has already made 48 cupcakes. Let x represent the amount of time Shauna spends making the
GalinKa [24]
Y=24x+48

24 per hour (x) plus the 48 she already made would equal a total (y).
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3 years ago
Solve this quadratic inequalitie with detailed full explanation
ANTONII [103]

x^2\leq16\\x\leq 4 \wedge x\geq -4\\x\in\langle-4,4\rangle

different approach:

x^2\leq16\\x^2-16\leq0\\(x-4)(x+4)\leq0

see attachment

x\in\langle-4,4\rangle

7 0
2 years ago
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What does 6(4c-2) simplify as?<br> Help pleas
Tom [10]

Step-by-step explanation:

\tt{ 6(4c-2)  }

\tt{ 24c-12  }

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2 years ago
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