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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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from the top of an 800 foot tall car talk tower, tom sees a plane; the angle of elevation is 67 degrees. at the same instant tay
AlekseyPX

Answer:

Height of plane = 25971.7 meters

Step-by-step explanation:

let H =height of plane

Let x = distance ray to the point under the plane

800 foot = 245meters

1 mile = 1609meters.

Tan 81 = \frac{H}{1609+x}    -----------------------(1)

Tan 67 = \frac{H-245}{x}    -----------------------(2)

6.3134  = \frac{H}{1609+x}   ------------------------(3)

2.3556 =  \frac{H-245}{x}    -----------------------(4)

from (3) and (4)

H = 10158.26 + 6.3134x  ---------------(a)

H = 245 + 2.2336x ---------------(b)

equating both (a) and (b) we have:

9913.26 = 3.9576x

x = 2504.74

Subst. x = 2504.74 into (a)

H = 25971.7meters

8 0
3 years ago
-(a-b)(a-bc) if a=3 b=-4 and c=2
Oxana [17]

Answer:

-77

Step-by-step explanation:

Simply plug in: -(3-(-4))(3-(-4)(2))

Because the "-" sign is outside the parentheses, you would distribute.

It would then be: -3-4. *positive and negative=negative, negative and negative=positive. -3-4=-7. It would then be: (-7) · ((3-(-4)(2))

(-4)(2)=-8. →(3-(-8))=(3+8)=11. The equation would then be: (-7) · (11)= -77

6 0
3 years ago
Read 2 more answers
In a weightless environment, an astronaut lose about 1.5% calcium in their bodies per month. Suppose some astronauts flew to Mar
Usimov [2.4K]

Answer:

  12.3 months

Step-by-step explanation:

You want the number of months (m) such that ...

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Taking logarithms:

  log(0.83) = m·log(0.985)

  m = log(0.83)/log(0.985) ≈ 12.3 . . . . months

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3 years ago
Identify the transformation of the function f(x)=|x| by observing the equation of the function g(x)=|x+3|
Alla [95]

Answer:

a horizontal translation by 3 units left

Step-by-step explanation:

f(x)= |x|

we are given with absolute function f(x)

g(x)  = |x+3|

To get g(x) from f(x) , 3 is added with x

If any number is added with x  then the graph of the function move to the left

Here 3 is added with x, so the graph of f(x) moves 3 units left to get g(x)

So there will be a horizontal translation by 3 units



6 0
3 years ago
For the function defined by y = StartFraction 1 Over x squared EndFraction, y varies inversely as what quantity? a. x c. y b. 2x
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Answer:

D- x^2

Step-by-step explanation:

Just did the practice edge. 2021

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