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3 years ago

What is the meaning of the base of the function y= log(x)?

Mathematics

1 answer:

aivan3 [116]3 years ago

4 0

C .As y decrease by 1 c increase by a factor of 10hope this helps

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A rescue helicopter flew from its home base for 35 kilometers on a course of 330 degrees to pick up an accident victim. It then

artcher [175]

I've drawn a triangle to represent the journey (see attached.

The angle from Home to Victim to Hospital is:

a = $90 - (360 - 330) = 90- 30 = 60^o$

Using the cos rule, we can solve for the length x:

$a^2 = b^2 +c^2 - 2bccosA
\\x^2 = 35^2+25^2-2(35)(25)cos60
\\x^2 = 1850 - 875
\\x^2 = 975
\\x = \sqrt{975}
\\x = 31.2249...$

Using the cos rule, we can solve for angle b:

$a^2 = b^2 +c^2 - 2bccosA
\\35^2 = 31.22...^2+25^2-2(31.22...)(25)cosb
\\1225 = 975 + 625 - 1561.249...cosb
\\-375 = -1561.249...cosb
\\b = cos^{-1}( \frac{-375}{-1561.249...}) 
\\b = 76.1...$

So the bearing the helicopter has to travel is:

270 - 76.1 = <u>193.9 degrees (1 dp)</u>

And the distance it travels is <u>31.2 km (1 dp)</u>

5 0

3 years ago

Which equation represents the line that passes through the points (2,5) and (1,3)?

vitfil [10]

Answer:

The answer is C i think

6 0

3 years ago

Read 2 more answers

Cara is hanging a poster that is 91 centimeters wide in her room. The center of the wall is 180 cm from the right end of the wal

notka56 [123]

180-91=89
89/2=44.5
each side 44.5??

7 0

3 years ago

Read 2 more answers

HELPPPPPP!!

AlekseyPX

Answer:

In 6 different ways can the three students form a set of class officers.

Step-by-step explanation:

There are 3 people Leila, Larry, and Cindy and 3 positions president, vice-president, and secretary.

We need to find In how many different ways can the three students form a set of class officers.

This problem can be solved using Permutation.

nPr = n!/(n-r)! is the formula.

Here n = 3 and r =3

So, 3P3 = 3!/(3-3)!

3P3 = 3!/1

3P3 = 3*2*1/1

3P3 = 6

So, in 6 different ways can the three students form a set of class officers.

7 0

3 years ago

Find the inverse of the linear function: y = 1/2 x + 3

kogti [31]

What you want to do is change the variable positions of X and Y
So it would be a new equation of
x = 1/2y + 3
Then you would need Y to be by itself so you solve for that
x-3 = 1/2 y
then,
2(x-3) = y
Your inverse function is 2(x-3) = y
Hope this helped :D

6 0

3 years ago