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pishuonlain [190]
3 years ago
15

What is the domain and range of f(x)=log(x+6)-4

Mathematics
1 answer:
jarptica [38.1K]3 years ago
4 0
Log of 0 or <0 does not exist 

so x + 6 must be  > 0

so the domain is  (-6, +infinity)

or x > -6

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A blimp is flying at a speed of 40mph and going in a direction of 80 degrees. After 3 hours of flying it turns and travels 1 hou
kykrilka [37]

Bearing is a topic that can be used to <u>locate</u> the <em>position</em> of an object at a given time. Therefore, the blimp is <em>80 m</em> far away from its <u>starting</u> point. And in the<em> North-East </em>direction.

The <u>speed</u> of an object relates the <em>distance</em> it covers to the <u>time taken</u> to cover the said distance.

i.e speed = \frac{distance}{time taken}

⇒ distance = speed x time taken

In the given question, the <u>initial</u> distance covered can be determined as;

distance = 40 mph x 3 h

              = 120 m

The<u> final </u>distance covered can be determined as;

distance = 40 mph x 1 h

              = 40 m

Let the <u>distance</u> from its <em>starting</em> point to its <em>fina</em>l location be represented by x.

Thus applying the<em> Cosine rule</em>, we have:

c^{2} = a^{2} + b^{2} - 2abCos C

x^{2} = 120^{2} + 40^{2} - 2(120 x 40) Cos 90

   = 14400 + 1600 - 9600

x^{2} = 16000 - 9600

   = 6400

x = \sqrt{6400}

 = 80

x = 80 m

Therefore, the <u>distance</u> of the blimp from its <em>starting</em> point to its <em>final</em> destination is <u>80 m</u>.

For more clarifications on bearings, visit: brainly.com/question/22979472

#SPJ1

6 0
2 years ago
Question 1
irina1246 [14]

Answer:

Question A

Step-by-step explanation:

5 0
3 years ago
Pls answer if you know the ANSWER​
inna [77]

Answer:

I was going to answer then I realized I don't know the answer. Sorry.

Step-by-step explanation:

4 0
3 years ago
Ashley is utilities manager at a paper mill. It takes 4/5 an hour to fill 1 tank. How many tanks can she fill in one hour
jeka57 [31]

Answer:

She can fill 1 and 1/4 tanks

Step-by-step explanation:

the reason she can fill 1 and 1/4 tanks is because if you multiply 5 by 12 you get 60 and then you multiply 4 by 12 and its 48 so 48/60 is what you get meaning that it takes her 48 minutes to fill one tank and 48 plus 12 is 60 and 12 is 1/4 out of 48 so you get 1 and 1/4 tanks she can fill in one hour.

5 0
3 years ago
TJ invested $8000 in a bond at a yearly rate of 4% simple interest. He earned $1120
Serjik [45]

Answer:

3.5 years (3 years 6 months)

Step-by-step explanation:

You are going to use the simple interest formula for this:

t=\frac{I}{Pr}

<em>P = initial balance </em>

<em>r = annual interest rate </em>

<em>I = interest</em>

<em />

First, change 4% into a decimal:

4% -> \frac{4}{100} -> 0.04

Now, plug in the values into the equation:

t=\frac{1,120}{(8,000)(0.04)}

t=3.5

The money was invested for 3.5 years (3 years 6 months).

8 0
3 years ago
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