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ollegr [7]
3 years ago
14

16,4,1,1/4,... Which exponential function describes the given sequence?

Mathematics
2 answers:
Travka [436]3 years ago
5 0

Answer: Is D.

Step-by-step explanation:

Jobisdone [24]3 years ago
4 0
That would be  16(1/4)^(n-1)

for example 4th term  =  16(1/4)^3 =  1/4
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Help me solve this please 33+15w=3w-w+4w
hichkok12 [17]

Answer:

33+15w=3w-w+4w

33+15w - 15w=3w-w+4w -15w

33 = 2w + 4w -15w

33 = 6w -15w

33 = -9w

33/9 = -9/9w

3.66 = w

Step-by-step explanation:

33+15w=3w-w+4w

33+15w - 15w=3w-w+4w -15w

33 = 2w + 4w -15w

33 = 6w -15w

33 = -9w

33/9 = -9/9w

3.66 = w

8 0
3 years ago
HELP ME PLEASE
solmaris [256]

Answer:

The initial mass of the sample was 16 mg.

The mass after 5 weeks will be about 0.0372 mg.

Step-by-step explanation:

We can write an exponential function to model the situation.

Let the initial amount be A. The standard exponential function is given by:

P(t)=A(r)^t

Where r is the rate of growth/decay.

Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:

\displaystyle P(t)=A\Big(\frac{1}{2}\Big)^{t/4}

After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.

Therefore, when x = 12, P(x) = 2. By substitution:

\displaystyle 2=A\Big(\frac{1}{2}\Big)^{12/4}

Solve for A. Simplify:

\displaystyle 2=A\Big(\frac{1}{2}\Big)^3

Simplify:

\displaystyle 2=A\Big(\frac{1}{8}\Big)

Thus, the initial mass of the sample was:

A=16\text{ mg}

5 weeks is equivalent to 35 days. Therefore, we can find P(35):

\displaystyle P(35)=16\Big(\frac{1}{2}\Big)^{35/4}\approx0.0372\text{ mg}

About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.

5 0
3 years ago
Two trapezoids below are similar what is the length of RS?
stepladder [879]

9514 1404 393

Answer:

  11.5 m

Step-by-step explanation:

The fact that the figures are similar means the side lengths are proportional:

  RS/QT = BC/AD

  RS/(7 m) = (2.3 m)/(1.4 m)

  RS = (7 m)(2.3/1.4) . . . . . . multiply by 7 m

  RS = 11.5 m

 

6 0
3 years ago
Which is equivalent to sqrt 180x^11 after it has been simplified completely?
lorasvet [3.4K]

Answer:

180x^5.5

Step-by-step explanation:

6 0
2 years ago
Describe the pattern in the numbers. Write the next number in the pattern. 1, 2/3, 1/3, 0
olga2289 [7]

Answer:

-1/3

Step-by-step explanation:

its subtracting 1/3 every time

6 0
3 years ago
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