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Evgesh-ka [11]
3 years ago
5

Solve the logarithmic equation

Mathematics
1 answer:
vichka [17]3 years ago
8 0

\text{We know:}\\\\\log_ab=c\iff b=a^c\\\\y=\log_{10}0.0001\\\\y=\log_{10}10^{-4}\to\boxed{y=-4}

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Which axiom is used to prove that the product of two rational numbers is rational
aliina [53]

Answer:

First, a rational number is defined as the quotient between two integer numbers, such that:

N = a/b

where a and b are integers.

Now, the axiom that we need to use is:

"The integers are closed under the multiplication".

this says that if we have two integers, x and y, their product is also an integer:

if x, y ∈ Z ⇒ x*y ∈ Z

So, if now we have two rational numbers:

a/b and c/d

where a, b, c, and d ∈ Z

then the product of those two can be written as:

(a/b)*(c/d) = (a*c)/(b*d)

And by the previous axiom, we know that a*c is an integer and b*d is also an integer, then:

(a*c)/(b*d)

is the quotient between two integers, then this is a rational number.

5 0
3 years ago
11,13,15,17 I need help with
natima [27]

Step-by-step explanation:

[ Refer to the attached file ]

( Slide to refer all files )

________________________________

• To solve Questions of type 11 we need to simplify the equation by using mathematical operations !!

• To solve Questions of type ( 13 , 15 and 17 ) we try to make the bar numeral to come other side of decimal

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<h2 />

5 0
3 years ago
Read 2 more answers
Two boys are running track. They decide to start in the northwest corner and go opposite directions around the rectangular track
Mariulka [41]

= <u>187.3 yards</u>

Step-by-step explanation:

The set-up will represent a triangle whereby the :

  • Width = Height = 150 yards
  • Diagonal = Hypotenuse = 240 yards
  • Length = Base = ?

{a}^{2}  =  {c}^{2}  -  {b}^{2}  \\ {a}^{2} =  {240}^{2}  -  {150}^{2}  \\ {a}^{2} = 57600 - 22500 \\  \sqrt{ {a}^{2} }  =  \sqrt{35100}  \\ a = 187.3yards \: (rounded \: off \: to \: 1dp)

3 0
3 years ago
Threeangles of a quadrilateral are equal and its fourth angel is 120° . Find all the angels
lilavasa [31]

Answer:

80°

Step-by-step explanation:

Three angles are equal

Let the equal angle be x

3x+120=360

3x=240

x=240/3

=80

Hence the three angles are 80∘


6 0
3 years ago
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What is the distance between the points (-3,4) and (5,4)?
marta [7]

Answer:

8/1

Step-by-step explanation:

You have to go up 8 more to get to (5,4) I hope Im right and this helps

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3 years ago
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