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aliya0001 [1]
2 years ago
14

6.7.35

Mathematics
1 answer:
valentinak56 [21]2 years ago
6 0

Answer:

Step-by-step explanation:

This is most easily solved with calculus, believe it or not. It is way more direct and to the point, with a whole lot less math!

The position function is given. The velocity function is the first derivative of the position, so if we find the velocity function and set it equal to 0, we can solve for the amount of time it takes for the rocket to reach its max height. Remember from physics that at the top of a parabolic path, the velocity is 0.

If:

s(t)=-16t^2+112t+360, then the velocity function, the first derivative is:

v(t) = -32t + 112 and solve for t:

-112 = -32t so

t = 3.5 seconds. Now we know how long it takes to get to the max height, we just need to find out what the max height is.

Go back to the position function and sub in 3.5 for t to tell us that position of the rocket at 3.5 seconds, which translates to the max height:

s(3.5)=-16(3.5)^2+112(3.5)+360 and

s(3.5) = 206 feet. I imagine that your answer, if you had to choose one from the list, would be 200 feet, rounded a lot.

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Volume (look at the picture)
bonufazy [111]

Answer:

108

Step-by-step explanation:

You start by finding the area of the trapezoid, which is ((3+5)/2) 3 = 12, then you multiply 12 by 9 which is 12*9 = 108

5 0
2 years ago
What is (5!)! / 5! (fraction form)?
guajiro [1.7K]

Well, the numerator alone is

(5•4•3•2)! = 120 !

and the denominator alone is

5!= 120 .

So the value of the whole fraction is

119 !

5 0
3 years ago
Make a pattern starting at -7 with term to term rule of +2
sammy [17]

Answer:

-7, - 5, - 3, - 1, 1, 3

Step-by-step explanation:

The question basically means that the 1st number in the number line pattern is - 7. And that the difference between the consecutive terms (e. G. Term 1 and term 2, term 3 and term 4...) is +2.

Basically term 2 is (Term 1) +2

Term 3 is (term 2) +2

8 0
3 years ago
Don't understand need help
Nostrana [21]
Hello!
So, your questions are basically having to do with rotations. This means to rotate certain points in a grid.
The following are formulas for solving rotations-
90 Degrees Clockwise About The Origin = (X,Y) -> (Y,-X)
180 Degrees About The Origin = (X,Y) -> (-X,-Y)
270 Degrees Clockwise About The Origin = (X,Y) -> (-Y,X)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
90 Degrees Counterclockwise = 270 Clockwise
270 Degrees Counterclockwise = 90 Clockwise
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
*Note, in the formulas, the negative sign only stands for the opposite. So if your original point is a negative, it will become positive,
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Now that we have our formulas, let's put them into affect with your points.

13)  90 Degrees CC = 270 Degrees Clockwise. Formula- (X,Y) -> (-Y,X)
A (2,-2) -> A' (2,2)
B (4,-1) -> B' (1,4)
C (4,-3) -> C' (3,4)
D (2,-4) -> D' (4,2)

*Note, the symbol _'_ Stands for prime. All this means, is the new point.

15) Now, I apologize, but I'm a bit confused on this one :( When it says about point L, I can't tell if it just wants that one point, or the whole figure translated. Again, I am so sorry :(

17) This one I do know. 270 degrees CC = 90 degrees Clockwise. Formula- (X,Y) = (Y,-X).
W (-6,-2) -> W' (-2,6)
X (-2,-2) -> X' (-2,2)
Y (-2,-6) -> Y' (-6,2)
Z (-5,-6) -> Z' (-6,5)

Hope this helped! Again, sorry about number 15. Have a great day!
Regards,
~KayEmQue


7 0
3 years ago
If 2x = 20, then x is <br> a. 5. b. 10. c. 20.
Sergeeva-Olga [200]

Answer:

B. 10

Step-by-step explanation:

To find the answer we would plug each given number into x to see if it makes the equation true

<em>A. 2(5) = 20 </em>

<em>     10 </em>\neq<em> 20</em>

<em>B. 2(10) = 20</em>

<em>     20 = 20</em>

<em>C. 2(20) = 20</em>

<em>     40 </em>\neq<em>20</em>

As you can see, the only answer that makes the equation 2x=20 true, is answer B

7 0
3 years ago
Read 2 more answers
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