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3 years ago

1.) Evaluate the expression for the given value of the variable. |2x +5|; x = −4

Mathematics

2 answers:

mariarad [96]3 years ago

4 0

Answer:

Step-by-step explanation:

zloy xaker [14]3 years ago

3 0

Answer:

Step-by-step explanation:

|2(-4)+5| = |-8+5| = |-3|

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Find the missing length in the right triangle.

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10 ft

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$6^2+8^2=?^2\\36+64=?^2\\100=?^2\\10=?$

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A ride sharing service charges $4.25 for every ride, plus $0.30 per mile. If m represents miles, which rule for p(m) models the

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3 years ago

"A passenger train traveled 100 miles in the same amount of time it took a freight train to travel 90 miles. The rate of the fre

Pavel [41]

Answer: the rate of the passenger train is 100 mph.

Step-by-step explanation:

Let x represent the rate of the passenger train.

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4 years ago

At the beginning of an experiment, a scientist has 300 grams of radioactive goo. After 150 minutes, her sample has decayed to 37

monitta

Answer:

Half-life of the goo is 49.5 minutes

$G(t)= 300e^{-0.014t}$

191.7 grams of goo will remain after 32 minutes

Step-by-step explanation:

Let $M_0\,,\,M_f$ denotes initial and final mass.

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According to exponential decay,

$\ln \left ( \frac{M_f}{M_0} \right )=-kt$

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$\ln \left ( \frac{M_f}{M_0} \right )=-kt\\\ln \left ( \frac{37.5}{300} \right )=-k(150)\\-2.079=-k(150)\\k=\frac{2.079}{150}=0.014$

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$\ln \left ( \frac{50}{100} \right )=-kt\\\ln \left ( \frac{50}{100} \right )=-(0.014)t\\t=\frac{-0.693}{-0.014}=49.5\,\,minutes$

Half-life of the goo is 49.5 minutes

$\ln \left ( \frac{M_f}{M_0} \right )=-kt\Rightarrow M_f=M_0e^{-kt}$

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$G(t)= M_f=M_0e^{-kt}$

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$G(t)= 300e^{-0.014t}$

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3 years ago

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vova2212 [387]

Y=3x-1 have a great day!!

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