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3 years ago

In 2000 the population of a country was 4,580,000 by 2015 the population had increased by 18%

Mathematics

1 answer:

Aneli [31]3 years ago

4 0

The answer is 3,755,600

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Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5

abruzzese [7]

Answer:

The answer is 1.

Step-by-step explanation:

Given the expression:

$|z-6|-|z-5|,\ if\ z$

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

$y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x$

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

$|z-6|$ and $|z-5|$

Using the definition of absolute value function as per above definition.

$|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z$

$|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z$

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression $|z-6|-|z-5|,\ if\ z$ will be equivalent to :

$-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}$

So, the expression is equivalent to 1.

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2 years ago

What goes on top? For the 16 and 17 ?

san4es73 [151]

The answer to the question that needs to go on the top is 33

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Use the function F(3) F(x) =(1/5)^x A.)1/15 B.)1/125 C.)3/5 D.)3/125

nalin [4]

Here is your answer

B) 1/125

REASON:

Given,

$F (x)={(1/5)}^{x}$

for F (3)

Putting x=3, in above function we get

$F (3)= {(1/5)}^{3}= 1/125$

HOPE IT IS USEFUL

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An angle is 74∘ more than its complement. Find the angle. degrees

agasfer [191]

The answer is 16 degrees to your problem.

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HELP ME PLEASE!!!!!!!

romanna [79]

Answer:what’s your question

Step-by-step explanation:

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