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krok68 [10]
3 years ago
6

What is the explicit rule for the geometric sequence 3, 12, 48,…?

Mathematics
1 answer:
Virty [35]3 years ago
8 0

Answer:

You are multiplying by 4 each time

Step-by-step explanation:

3 x 4 = 12

12 x 4 = 48

48 x 4 = 192

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The population, P, of six towns with time t in years are given by the following exponential equations:
Oksanka [162]

Given:

The population, P, of six towns with time t in years are given by the following exponential equations:

(i) P=1000(1.08)^t

(ii) P = 600 (1.12)^2

(iii) P =2500 (0.9)^t

(iv) P=1200 (1.185)^t

(v) P=800 (0.78)^t

(vi) P=2000 (0.99)^t

To find:

The town whose population is decreasing the fastest.

Solution:

The general form of an exponential function is:

P(t)=ab^t

Where, a is the initial value, b is the growth or decay factor.

If b>1, then the function is increasing and if 0<b<1, then the function is decreasing.

The values of b for six towns are 1.08, 1.12, 0.9, 1.185, 0.78, 0.99 respectively. The minimum value of b is 0.78, so the population of (v) town  P=800 (0.78)^t is decreasing the fastest.

Therefore, the correct option is b.

5 0
3 years ago
F(x) = -1/3 x + 7 determine the input that would give an output value of 2/3
-BARSIC- [3]
Ur output value is f(x).....so to do this problem u need to sub in 2/3 for f(x) and solve for the input value which is x

f(x) = -1/3x + 7
2/3 = -1/3x + 7 ...multiply everything by 3
2 = -x + 21
2 - 21 = - x
- 19 = -x
19 = x <== ur output

7 0
3 years ago
Read 2 more answers
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha
amid [387]

Answer:

Given:

mean, u = 6.2

sample size, n = 180

Sample mean, X' = 6.3

s.d \sigma = 0.9

Significance level = 0.05

The null and alternative hypothesis will be:

H0 : u = 6.2

H1 : u > 6.2

Degree of freedom = 180 - 1 = 179

Using t table, the t critical value,

t> t(0.05, 179) = 1.6534

The test statistic:

t = \frac{X' - u}{\frac{\sigma}{\sqrt{n}}}

T = \frac{6.3 - 6.2}{\frac{0.9}{\sqrt{180}}} = 1.4907

Since the test statistic(t calculated value) 1.4907 < t critical value (1.6534), we fail to reject the null hypothesis H0.

4 0
3 years ago
What is the value of the expression below if y = 5?<br> 35 = (y + 2) + 4
Arisa [49]
35=(5+2)+4
35=7+4
35=11
false so their is no answer
6 0
3 years ago
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What is the value of x?<br><br> 4<br> 4√2<br> 8<br> 8√2
aksik [14]
The answer is 8. I explain it to you?
3 0
3 years ago
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