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nikklg [1K]
2 years ago
5

Solve the inequality and give an answer in interval notation: 4-x> 6

Mathematics
1 answer:
Ainat [17]2 years ago
7 0

take it step by  step

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Find the height of a cylinder with radius 13 and surface area 1470.3.
g100num [7]
First you need the formula for SA of a cylinder: SA = 2(πr^2) + 2πr*h
(area of the top and bottom circles plus the side)
Then plug your values into the equation and rearrange to make h the subject:
1470.3 = 2π13^2 + 2π*13*h
26πh = 1470.3 - 338π
h = (1470.3 - 338π)/26π
   =5.00042...
so h is approximately 5 units :)
8 0
2 years ago
Read 2 more answers
Kaleb makes an investment at 5.2 percent simple interest. At the end of 1 year, the total value of the investment is $2419.60. H
Dafna11 [192]
The future amount of the current deposit given that the interest is simple and yearly is computed through the equation,
                                 F = P x (1 + in)
where P is the principal amount, F is the future amount, i is the interest (in decimal form) and n is the number of years.

In this certain problem, we substitute the known values to the equation and solve for P,
                             2419.60 = P x (1 + (0.052)(1)) 
                                       P = 2300
Thus, the initial investment was worth $2,300. 
3 0
2 years ago
The second derivative of acos(kx) ​
Shkiper50 [21]
F’(x)= -akxsinkx

F’’(x)= -a(kx)^2coskx

I’m really sorry if the answer turned out wrong but I tried my best!
8 0
2 years ago
What is 2867 divided by 61 using box method
anyanavicka [17]

Answer:

47

Step-by-step explanation:

this is due to when 286 is divided by 61 it gets 40 and the remainder gets you 7 as a result it is 47

4 0
3 years ago
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An engineer is going to redesign an ejection seat for an airplane. the seat was designed for pilots weighing between 130lb and 1
Vlad [161]

Answer: 0.4758

Step-by-step explanation:

Given : Mean : \mu=137\text{ lb}

Standard deviation : \sigma =28.9\text{ lb}

Also, the new population of pilots has normally distributed .

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x=130 lb .

z=\dfrac{130-137}{28.9}=-0.2422145\approx-0.24

For x=171lb.

z=\dfrac{171-137}{28.9}=1.1764705\approx1.18

The p-value =P(-0.24

=0.8809999-0.4051651=0.4758348\approx0.4758348\approx0.4758

Hence, the required probability : 0.4758

6 0
2 years ago
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