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3 years ago

When graphed, which function has a horizontal asymptote at 4?

Mathematics

1 answer:

Agata [3.3K]3 years ago

6 0

Answer:

C sorry if its wrong

Step-by-step explanation:

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In 2012, the population of a city was 6.27 million. The exponential growth rate was 1.47% per year.

Tcecarenko [31]

Answer:

a) $a(t)= 6.27e^{0.0147*t}$

b) 6.84 million

c) 2028.52

d) 47 years

Step-by-step explanation:

a)Here we know standard exponential growth rate is

$a(t)= ae^{k*t}$

In this put t=0 and a(t)=6.27 million

thus we get a = 6.27 million

now $\frac{da}{dt}=a(t)k$

this is equal to(in 2012)= $\frac{1.47}{100}*=0.0147$

b)Put t = 6

we get

$a(t)= 6.27e^{0.0147*6}$

=6.84 million

c) $8 = 6.27e^{0.0147*t}$

take log both sides

we get 16.52 years

d) $2*6.27=6.27e^{0.0147*t}$

take log both sides we get 47 years to get double the current population.

3 0

3 years ago

26,) If y varies inversely as x, and y = 5 as x = 6, find y for the x-value of 10.

melisa1 [442]

Answer:

Step-by-step explanation:

the initial statement is

y ∝ 1 /x

to convert to an equation multiply by k the constant

of variation

y = k × 1 /x = k /x

to find k use the given condition

y = 5 when x = 6

y = k/ x ⇒ k = y x = 5 × 6 = 30

y = 30 /x

when

x = 10

then

y = 30 /10 = 3

4 0

3 years ago

Read 2 more answers

Convert 17.42 m to customary units. A.57'-17/8" B. 36-10 1/2" C. 442 1/2" D. 367/8" E. None of these answers is reasonable.

mars1129 [50]

Answer:

Option E - None of these answers is reasonable.

Step-by-step explanation:

To find : Convert 17.42 m to customary units ?

Solution :

The customary units is defined as the measure length and distances in the customary system are inches, feet, yards, and miles.

The options belong to feet and inches.

We have to convert meter into inches, feet.

Meter into feet,

$1 \text{ feet} = 0.3048 \text{ meter}$

$1 \text{ meter} = \frac{1}{0.3048}\text{ feet}$

$17.42 \text{ meter} = \frac{17.42}{0.3048}\text{ feet}$

$17.42 \text{ meter} = \frac{174200}{3048}\text{ feet}$

$17.42 \text{ meter} =57 \frac{464}{3048}\text{ feet}$

$17.42 \text{ meter} =57 \frac{58}{381}\text{ feet}$

Now, Feet into inches

$1 \text{ feet} = 12\text{ inches}$

$\frac{58}{381} \text{ feet} = 12\times \frac{58}{381}\text{ inches}$

$\frac{58}{381} \text{ feet} =\frac{232}{381}\text{ inches}$

i.e. $17.42 \text{ meter} =57\text{ feet }\frac{232}{381}\text{ inches}$

or $17.42 \text{ meter} =57'\frac{232}{381}''$

None of these answers is reasonable.

Therefore, Option E is correct.

5 0

3 years ago

Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lbs. If x represents the number of 3 lb

olga2289 [7]

Answer:

3x = 50 - 10y

Step-by-step explanation:

Here, x represents the number of 3 lb weights and y represents the number of 10 lb weights,

So, total weight of 3 lb weights = 3x

And, the weight of 10 lb weights = 10y

Total weight of all his weights = 3x + 10y

According to the question,

Total weight = 50 lb,

⇒ 3x + 10y = 50

Or 3x = 50 - 10y

Which is the required equation.

Second option is correct.

3 0

3 years ago

Which function is the inverse of f (x) = 2x + 8?

tiny-mole [99]

Answer:

f-1(x) = (x-8)/2

Step-by-step explanation:

f(x) = 2x+ 8

y = 2x + 8

replacing y and x

x = 2y + 8

2y = x- 8

y =( x-8)/2

f-1 (x) =( x-8)/2

3 0

3 years ago