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3 years ago

Estimate the sum 1,341 + 6,972

Mathematics

2 answers:

jonny [76]3 years ago

7 0

Answer:

8,313

Step-by-step explanation:

Arisa [49]3 years ago

3 0

8,313 is your answer

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Which table represents a linear function?

AlladinOne [14]

The rate of change for the function on the table is; 15 grapes eaten per minute.

<h3>What is the rate of change of the function described by the table?</h3>

It follows from the complete question that the table given indicates that;

after 1min, 15 grapes had been eaten,

after the next minute, 30 grapes had eaten,

after the 3rd minute, 45 grapes had already been eaten.

On this note, it is conclusive that the rate of change of the function represented by the table is; 15 grapes eaten per minute.

Read more on rate of change;

brainly.com/question/7220852

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4 0

2 years ago

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

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

ludmilkaskok [199]

Answer:

$\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}$

Step-by-step explanation:

Given:

$y = \ln{\left(\dfrac{x + 1}{x - 1}\right)^{\frac{1}{2}}$

using the properties of log we can take the power 1/2 and multiply it.

$y = \dfrac{1}{2}\ln{\left(\dfrac{x + 1}{x - 1}\right)$

now we can differentiate:

$\dfrac{dy}{dx} = \dfrac{1}{2}\dfrac{1}{\left(\dfrac{x + 1}{x - 1}\right)}\left(\dfrac{d}{dx}\left(\dfrac{x+1}{x-1}\right)\right)$

$\dfrac{dy}{dx} = \dfrac{1}{2}\left(\dfrac{x - 1}{x + 1}\right)\left(- \dfrac{2}{\left(x - 1\right)^{2}}\right)$

$\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}$

this is our answer!

8 0

3 years ago

PLEASE HELP ON TIMER!!!!!

Lesechka [4]

Answer:

Step-by-step explanation:

6 0

3 years ago

Which equation has a solution of -10? -28+32+x=-40 -28x+32x=-40 -28−32+x=6 -28x+23x=2

Leno4ka [110]

I think it is the 3rd one but I might be wrong...

8 0

3 years ago

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