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2 years ago

No matter what the base,

Mathematics

1 answer:

Liula [17]2 years ago

3 0

Answer:

(0, 1)

Step-by-step explanation:

6^0 = 1

For exponential function, always > 0, never = 0

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What is the value of 7(3x -4) + 15 when x = 6

Kaylis [27]

Expand

21x - 28 + 15

Collect like terms

21x + (-28 + 15)

Simplify

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3 years ago

The population of a community is known to increase at a rate proportional to the number of people present at time t. If the popu

Lady bird [3.3K]

Answer:

$P(t) = P(0)e^{0.0693t}$

Step-by-step explanation:

The population of a community is known to increase at a rate proportional to the number of people present at time t.

This means that the population growth is modeled by the following differential equation:

$\frac{dP(t)}{dt} = rP(t)$

Which has the following solution:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The population has doubled in 10 years

This means that $P(10) = 2P(0)$ . We use this to find r.

$P(t) = P(0)e^{rt}$

$2P(0) = P(0)e^{10r}$

$e^{10r} = 2$

$\ln{e^{10r}} = \ln{2}$

$10r = \ln{2}$

$r = \frac{\ln{2}}{10}$

$r = 0.0693$

So the equation that will estimate the population of the community in t years is:

$P(t) = P(0)e^{0.0693t}$

6 0

3 years ago

Round 96.9617186007 to the nearest tenth.

Pavlova-9 [17]

if you're talking about the whole number, 100.96. if you're referring to decimal place values; 96.70.

underline the digit that you round to

circle the digit to the right

five or more goes up

four or less stays the same

everything behind becomes a zero.

6 0

4 years ago

Read 2 more answers

Now Cathy is three times as old as Katie. In six years Cathy will be only twice as old as Katie. How old is each girl now?

BabaBlast [244]

Katie is 6; Cathy is 18!

X- Katie’s age now and 3x -Cathys age now
In 6 years, Katie is 12 and Cathy is 24.

2 x (X+6) = 3x + 6
2x + 12 = 3x + 6
6 = x

6 0

3 years ago

Which expression would be easier to simplify if you used the associative property to change the grouping?

vlabodo [156]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers