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Svet_ta [14]
3 years ago
5

Please answer this question

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
8 0
We are given that the parachutist's rate during a free fall is 80 meters per second (80 m/s). The first question asks us to convert 80 m/s into feet per second. Thankfully, it gives us a conversion factor of 3.3 feet = 1 meter. So, since a meter is larger than feet, we will need to multiply 80 by 3.3, which gives us 264 m/s. Therefore, the answer to the first questions is 264 m/s. The second question asks us to find how many feet the parachutist will fall during 5 seconds. To find this, all we need to do is multiply 264 by 5, which gives us 1,320 feet. Hence, the answer to the second problem is 1320 feet. Hope this helps and have a nice day!
Evgesh-ka [11]3 years ago
7 0
400rate and 264 meters
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A construction zone on Interstate 15 has a speed limit of 40 mph. The speeds of vehicles passing through this construction zone
monitta

Answer:

a. The percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit =90.82%

b. Percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph= 2.28%

Step-by-step explanation:

We have to find

a) P(X>40)= 1- P(x=40)

Using the z statistic

Here

x= 40 mph

u= 44mph

σ= 3 mph

z=(40-44)/3=-1.33

From the  z-table   -1.67 = 0.9082

a) P(X>40)=

Probability exceeding the speed limit = 0.9082 = 90.82%

b) P(50<X<55)

Now

z1 = (50-44)/3 = 2

z2 = (55-44)/3= 3.67

Area for z>3.59 is almost equal to 1

From the z- table we get

P(55 < X < 60) = P((50-44)/3 < z < (55-44)/3)

     = P(2 < z < 3.67)

     = P(z<3.67) - P(z<2)

     = 1 - 0.9772

     = 0.0228

or 2.28%

3 0
3 years ago
What is -3 = z - 8 (solve the equation, check the solution)
laila [671]

Answer:

z=5 :)

Step-by-step explanation:

5 0
3 years ago
If (fx)=5x, what is f^-1(x)
zysi [14]

Answer:

x/5

Step-by-step explanation:

To get the inverse function you need to leave the x alone and then switch variables ( f(x) = y)

f(x) = 5x

y = 5x

y/5 = x

Now that x is alone you switch the x for y and the y for x and you get:

x/5 = y

And this new y is the inverse function of f(x) ( f^-1(x))

f^-1(x) = x/5

6 0
4 years ago
Sqrt(2x-6)=3-x<br> Solve for x
soldi70 [24.7K]

Answer:

x = 3

Step-by-step explanation:

\sqrt{2x - 6}  = 3 - x

Square both sides of the equation

2x - 6 = (3 - x)^{2} = 9 - 6x + x^{2} \\

x^{2}  - 8x + 15 = 0\\

(x - 3)(x - 5) = 0

x = 3 or 5

Now, you must always check your results because a result may not satisfy the original equation.

If x = 3, then \sqrt{2x - 6} = \sqrt{2(3) - 6} = \sqrt{6 - 6}  = \sqrt{0} = 0  and 3 - x = 3 - 3 = 0

So 3 satisfies the original.

If x = 5, then \sqrt{2(5) - 6}  = \sqrt{10 - 6} = \sqrt{4} = 2,  but 3 - x = 3 - 5 = -2.  Therefore, 5 does NOT satisfy the original equation.

That means that x = 3 is the solution to the equation.

5 0
3 years ago
Find the area of a regular decagon with a side length of 14 and an apothem of 25.
andriy [413]
Area = 10 * 1/2* * 14 * 25  (note decagon has 10 sides)


        =   1750 
4 0
3 years ago
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