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bearhunter [10]
3 years ago
12

Which type of function correctly describes the exponential function

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
3 0

the answer is a. increasing function

mel-nik [20]3 years ago
3 0

A increasing function

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A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the poli
pishuonlain [190]

Complete question:

A police car is located 50 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road.

Answer:

The red car is traveling along the road at 80.356 ft/s

Step-by-step explanation:

Given

Police car is 50 feet side off the road

Red car is 130 feet up the road

Distance between them is decreasing at the rate of 75 feet per sec

Let x be how far the police is off the road.

Let y be how far the red car is up the road.  

Let h be the distance between the police and the red car.

This forms a right triangle so we can use the Pythagorean theorem, to solve for h

h² = x² + y²

h² = 50² + 130²

h² = 19400

h = √19400

h = 139.284 ft

Again;

Let dx/dt be how fast the police is traveling toward the road.

Let dy/dt  be how fast the red car is traveling along the road.

Let dh/dt be how fast the distance between the police and the car is decreasing.

Recall that, h² = x² + y² (now differentiate with respect to time, t)

2h(dh/dt) = 2x(dx/dt) + 2y(dy/dt)

divide through by 2

h(dh/dt) = x(dx/dt) + y(dy/dt)

since the police car is not, dx/dt = 0

and dy/dt is the how fast is the red car actually traveling along the road

139.284(75) = 50(0) + 130(dy/dt)

10446.3 = 0 + 130(dy/dt)

dy/dt = 10446.3 / 130

dy/dt = 80.356 ft/s

Therefore, the red car is traveling along the road at 80.356 ft/s

6 0
3 years ago
1) Andrew owns 220 shares of a common stock in a tech company. The tech company recently paid a cash dividend of $2.25 per share
Iteru [2.4K]

Answer:

9.0

Step-by-step explanation:

Took the test

5 0
3 years ago
There were 100 pizzas sold at Romeo's Pizzeria on Tuesday. A large pizza costs $16 and a small pizza costs $11. If $1,550 worth
Blizzard [7]

Answer:

  • 10 small pizzas sold

Step-by-step explanation:

Let number of large pizzas be l and number of small be s.

<u>Then we have equations:</u>

  • l + s = 100
  • 16l + 11s = 1550

<u>From the first equation, we get l = 100 - s and substitute in the second equation:</u>

  • 16(100 - s) + 11s = 1550
  • 1600 - 16s + 11s = 1550
  • 5s = 1600 - 1550
  • 5s = 50
  • s = 10

Number of small pizzas is 10

7 0
3 years ago
What is the answer to |x-4|&lt;13
VARVARA [1.3K]

Answer:

<h2>The solution is -9 < x < 17.</h2>

Step-by-step explanation:

|x-4|<13.

The above equation means, whatever the actual value of x is, the value of (x - 4) must be greater than - 13 and less than 13.

Hence, -13 < x - 4 < 13 or, -9 < x < 17. The value of x will be in between -9 and 17. The value of x can not be -9 or 17.

7 0
3 years ago
The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = (x – 1). What is the slope-i
joja [24]
Y + 3 = x - 1
    - 3    - 3
      y = x - 4

The slope-intercept form of the equation of the line is y = x - 4.
8 0
3 years ago
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