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Jlenok [28]
3 years ago
6

Graph the following equation y=3(0.5)^X

Mathematics
1 answer:
Naddika [18.5K]3 years ago
5 0

Answer:

pic in explanation

Step-by-step explanation:

It's exponential decay function with y-int (0,3)

You might be interested in
Diego pours 8 ounces of water from a full bottle of 36 ounces. What is the percent of decrease of water in the bottle?
Natali5045456 [20]

Answer:

The answer is 22%.

Step-by-step explanation:

All you need to do to figure this out is to divide 36 by 8.

8/36=.222222

Hope this helps!

4 0
3 years ago
A ship leaves port at 10 miles per hour, with a heading of N 35° W. There is a warning buoy located 5 miles directly north of th
Leno4ka [110]

The value of the angle subtended by the distance of the buoy from the

port is given by sine and cosine rule.

  • The bearing of the buoy from the is approximately <u>307.35°</u>

Reasons:

Location from which the ship sails = Port

The speed of the ship = 10 mph

Direction of the ship = N35°W

Location of the warning buoy = 5 miles north of the port

Required: The bearing of the warning buoy from the ship after 7.5 hours.

Solution:

The distance travelled by the ship = 7.5 hours × 10 mph = 75 miles

By cosine rule, we have;

a² = b² + c² - 2·b·c·cos(A)

Where;

a = The distance between the ship and the buoy

b = The distance between the ship and the port = 75 miles

c = The distance between the buoy and the port = 5 miles

Angle ∠A = The angle between the ship and the buoy = The bearing of the ship = 35°

Which gives;

a = √(75² + 5² - 2 × 75 × 5 × cos(35°))

By sine rule, we have;

\displaystyle \frac{a}{sin(A)} = \mathbf{ \frac{b}{sin(B)}}

Therefore;

\displaystyle sin(B)= \frac{b \cdot sin(A)}{a}

Which gives;

\displaystyle sin(B) = \mathbf{\frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }}

\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx 37.32^{\circ}

Similarly, we can get;

\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx \mathbf{ 142.68^{\circ}}

The angle subtended by the distance of the buoy from the port, <em>C</em> is therefore;

C ≈ 180° - 142.68° - 35° ≈ 2.32°

By alternate interior angles, we have;

The bearing of the warning buoy as seen from the ship is therefore;

Bearing of buoy ≈ 270° + 35° + 2.32° ≈ <u>307.35°</u>

Learn more about bearing in mathematics here:

brainly.com/question/23427938

5 0
2 years ago
Help me please...........?
Makovka662 [10]
189 inches is 15.75 feet

16 ft - 15.75 ft = 0.25 ft

0.25ft = 3 inches

He must vault 3 inches higher
4 0
3 years ago
James and Michael are the partners in a local business. They needed $480,000 to start the
larisa [96]

Answer:

James invested $160,000

Step-by-step explanation:

- In total, they needed $480,000 to start the business

- 1:2 ratio means one of them payed double the amount than the other

so the expression would be,

2x + x = 480,000

Let x represent how much they each need to invest

the expression can be simplified to,

3x = 480,000

now you need to get x alone, this would be done be dividing both sides by 3

\frac{3x}{3} = \frac{480,000}{3}\\x = 160,000

James invest $160,000

Michael invest $160,000 x 2 = $320,000

and if you add them together, you get the total amount

$320,000 + $160,000 = $480,000

Let me know if you have any questions !

7 0
1 year ago
Read 2 more answers
4x + 1 = 2x - 5<br> show all steps
konstantin123 [22]

How to solve your question

Your question is

4

+

1

=

2

−

5

4x+1=2x-5

4x+1=2x−5

Solve

1

Subtract  

1

1

1

from both sides of the equation

2

Simplify

3

Subtract  

2

2x

2x

from both sides of the equation

4

Simplify

5

Divide both sides of the equation by the same term

6

Simplify

Solution

=

−

3

3 0
3 years ago
Read 2 more answers
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