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Nadusha1986 [10]
3 years ago
10

A water tank is leaking such that for each of the next 5 hours, the amount of water in the tank will be 2 gallons less than at t

he end of the previous hour.
What type of relationship most appropriately models this situation?
A.
linear decrease
B.
exponential decay
C.
exponential growth
D.
linear increase
Mathematics
2 answers:
Eddi Din [679]3 years ago
8 0

Answer: (A) linear decrease

Step-by-step explanation:

linear decrease is when something empties for the same rate.

Misha Larkins [42]3 years ago
8 0

Answer:

Step-by-step explanation:

the answer is d

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The following lines are ______ <br><br> 4x + 2y = 10 y = -2x + 15
zmey [24]

Answer:

Parallel

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

4x + 2y = 10 ( subtract 4x from both sides )

2y = - 4x + 10 ( divide through by 2 )

y = - 2x + 5 ← in slope- intercept form

with slope m = - 2

and

y = - 2x + 15 ← is in slope- intercept form

with slope m = - 2

• parallel lines have equal slopes

then the 2 lines are parallel

4 0
1 year ago
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From a radar station, the angle of elevation of an approaching airplane is 32.5 degree. The horizontal distance between the plan
denis23 [38]

Answer: 42.21 km

Step-by-step explanation:

We can solve this using trigonometry, since we have the following data:

\theta=32.5\° is the the angle of elevation

d=35.6 km is the horizontal distance between the plane and the radar station

x is the hypotenuse of the right triangle formed between the radar station and the airplane

Now, the trigonometric function that will be used is <u>cosine</u>:

cos\theta=\frac{d}{x} because d is the adjacent side of the right triangle

cos(32.5\°)=\frac{35.6 km}{x}

Finding x:

x=\frac{35.6 km}{cos(32.5\°)}

x=42.21 km

4 0
3 years ago
What is the product of 8 and 54
Anestetic [448]
The product of 8 and 54 is 46
3 0
2 years ago
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Find the area of each shape. Show your reasoning.
Troyanec [42]

Answer:

Those areas are: A 1 = 12,  A 2 = 19

Step-by-step explanation:

The area of shape 1  : it consists of 1 square + 4 right triangles

Area of the square: A = a², area of the triangle: A = 1/2 · a · h

A 1 = 2² + 4 · 1/2 · 2 · 2 = 4 + 8 = 12

The area of shape 2 :  it consists of 2  isosceles triangles

A 2 = 1/2 · 2 · 4 + 1/2 · 6 · 5 = 4 + 15 = 19

3 0
3 years ago
X+103=180<br> Enter the measurement of the exterior angle of the triangle.
Zigmanuir [339]

Answer: x° = 77°


Step-by-step explanation:

x + 103 = 180

x = 180 - 103

x =  77°

also by properties:

x° = 42° + 35° = 77°

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3 years ago
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