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devlian [24]
2 years ago
9

The amount of a radioactive material changes with time. the table below shows the amount of radioactive material f(t) left after

time t: t(hours) 0 1 2 f(t) 180 90 45 which exponential function best represents the relationship between f(t) and t? (1 point) f(t) = 0.5(180)t f(t) = 180(0.25)t f(t) = 180(0.5)t f(t) = 0.5(50)t
Mathematics
2 answers:
madam [21]2 years ago
7 0

Answer:

f(t)=180(0.25)^t

Step-by-step explanation:


n200080 [17]2 years ago
3 0
F(t)=(0.5)^t *180 is the answer because (0.5)^0=1   (0.5)^1=0.5   (0.5)^2=0.25

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Vijay has an annual salary of 47,000, and his company pays him twice a month. What is the gross income in each paycheck that Vij
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Alright, so he has an <em>annual </em>salary of 47,000 dollars. Which means that he is paid 47,000 dollars in 12 months. You'll first have to calculate the pay Vijay receives <em>each month</em>, which is \frac{47,000}{12 months}, or about $3,916.67 (I'll round up to 3917 for simplicity). 

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6 0
2 years ago
A circle passes through points A(7,4), B(10,6), C(12,3). Show that AC must be the diameter of the circle.
Artist 52 [7]

so we have three points, A, B and C, if indeed AC is the diameter of the circle, then half the distance of AC is its radius, and the midpoint of AC is the center of the circle, morever, since B is also on the circle, the distance from B to the center must be the same radius distance.

in short, half the distance of AC must be equals to the distance of B to the midpoint of AC, if indeed AC is the diameter.

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{12}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{12+7}{2}~~,~~\cfrac{3+4}{2} \right)\implies \left( \cfrac{19}{2}~~,~~\cfrac{7}{2} \right)=M\impliedby \textit{center of the circle}

now, let's check the distance from say A to the center, and check the distance of B to the center, if it's indeed the center, they'll be the same and thus AC its diameter.

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{7}~,~\stackrel{y_1}{4})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AM=\sqrt{\left( \frac{19}{2}-7 \right)^2+\left( \frac{7}{2}-4 \right)^2} \\\\\\ AM=\sqrt{\left( \frac{5}{2}\right)^2+\left( -\frac{1}{2} \right)^2}\implies \boxed{AM\approx 2.549509756796392} \\\\[-0.35em] ~\dotfill

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ B(\stackrel{x_1}{10}~,~\stackrel{y_1}{6})\qquad M(\stackrel{x_2}{\frac{19}{2}}~,~\stackrel{y_2}{\frac{7}{2}}) \\\\\\ BM=\sqrt{\left( \frac{19}{2}-10 \right)^2+\left( \frac{7}{2}-6 \right)^2} \\\\\\ BM=\sqrt{\left( -\frac{1}{2}\right)^2+\left( -\frac{5}{2} \right)^2}\implies \boxed{BM\approx 2.549509756796392}

6 0
2 years ago
The school cafeteria has 4 rows of tables each row has 22 seats. The school patio has 12 tables. Each table seats 4 students. Ho
o-na [289]

Answer:

Here the answer, dearie.

Step-by-step explanation:

22 \times 4 = 88 \\ 12 \times 4 = 48 \\ 88 + 48 = 136

So, 136 people can sit in cafeteria and the patio.

6 0
2 years ago
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neither even or odd, odd, even

5 0
2 years ago
Read 2 more answers
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Wittaler [7]
A !! hope this helps
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2 years ago
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