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Ivenika [448]
2 years ago
10

The police department uses a formula to determine the

Mathematics
1 answer:
laiz [17]2 years ago
8 0

9514 1404 393

Answer:

  78.71 mph

Step-by-step explanation:

You're looking for the solution to ...

  d = 88

  0.0015r^2 +r = 88

  0.0015r^2 +r -88 = 0

Using the quadratic formula*, we find ...

  r = (-1 +√(1² -4(0.0015)(-88)))/(2×0.0015)

  r = (-1 +√1.528)/0.003 = 0.236123/0.003 = 78.7077

The speed of the car was about 78.71 mph.

_____

* The quadratic formula will also give a negative answer of about -745 mph, which is not relevant to the situation.

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I need help with this math problem! Thanks!<br><br> -8 = -( x +4)
Damm [24]

Answer:

x = 4

Step-by-step explanation:

If the lonely negative sign infront of the brackets is confusing, it can be rewritten as -1.

To solve, simplify by expanding then isolate x.

-8 = -( x +4)

-8 = -1 ( x +4)       Distribute over brackets by changing the each term's sign

-8 = -x - 4            Start isolating x by moving everything to the other side

-8 +4  = -x -4 + 4        Add 4 to both sides so it cancels out on the right

-4  = -x

-4  = -1x           <= -x is the same at -1x

-4/-1  = -x/-1     <=divide both sides by negative 1

4 = x

x = 4      <= usually we write the variable on the left side

7 0
3 years ago
How do you use a tree diagram to determine the expected value
Juli2301 [7.4K]

Step 1:Draw lines to represent the first set of options in the question (in our case, 3 factories). Label them (our question list A B and C so that is what we’ll use here).

Step 2: Convert the percentages to decimals, and place those on the appropriate branch in the diagram. For our example, 50% = 0.5, and 25% = 0.25.

Step 3: Draw the next set of branches. In our case, we were told that 70% of factory A’s output was passenger. Converting to decimals, we have 0.7 P (“P” is just my own shorthand here for “Passenger”) and 0.3 NP (“NP” = “Not Passenger”).

Step 4:Repeat step 3 for as many branches as you are given.


Step 5: Multiply the probabilities of the first branch that produces the desired result together. In our case, we want to know about the production of passenger places, so we choose the first branch that leads to P.

Step 6: Multiply the remaining branches that produce the desired result. In our example there are two more branches that can lead to P.

Step 6: Add up all of the probabilities you calculated in steps 5 and 6. In our example, we had:

.35 + .0625 + .0625 = .475

That’s it!



4 0
3 years ago
Although the actual amount varies by season and time of​ day, the average volume of water that flows over the falls each second
NikAS [45]
1sec = 3.6 x 10^5gallons
1 hr = 3600 x 3.6 x 10^5gallons
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6 0
3 years ago
Solve the equation for x :
fiasKO [112]
X=8 my photo has the work done

5 0
3 years ago
Solve the test.......
musickatia [10]

Answer:

12345

Step-by-step explanation:

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4 0
3 years ago
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