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ICE Princess25 [194]
3 years ago
7

The sum of two consecutive odd integers is 20 less than four times the smaller of the two integers. Which the following equation

s could be used to find the smaller integer,n?
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
6 0

Answer:

n+(n+2)+20=4n

Step-by-step explanation:

Let the smaller integer be n,

the bigger odd integer will be n+2.

n+(n+2)+20=4n

2n+22=4n

2n=22

n=11

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A piston rises to 5 cm and falls to 3 cm in such a way that it returns to the maximal height three times every two seconds. If w
sveticcg [70]

Answer:

(1 cm)cos3πt

Step-by-step explanation:

Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft

where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.

Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations  = 2 s

So, f = 3/2 s =1.5 /s = 1.5 Hz

Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm

h = Acos2πft

= (1 cm)cos2π(1.5Hz)t

= (1 cm)cos3πt

7 0
3 years ago
Which best describes the incenter of a triangle?
Sergeeva-Olga [200]

Answer:

D. it is the point where the three angle bisectors of the triangle intersect.

Step-by-step explanation:

Because in geometry the incenter of a triangle is deliberated as the center of a triangle.

3 0
3 years ago
Sales of 10 000 increase by 65 each year​
lorasvet [3.4K]

Answer:

Whats the question

Step-by-step explanation:

also if you are looking for the unit rate its <u><em>153.846...</em></u>

or if you are looking for how many in 2 years then <u><em>650,000</em></u>

<u><em>Hope this helps </em></u>

<u><em>Have a nice day</em></u> :)

3 0
3 years ago
Read 2 more answers
J is the midpoint of HK¯¯¯¯¯¯¯ . What are HJ, JK, and HK?
lana [24]
Since J is the midpoint of HK, that means HK is split into two sections HJ and JK that are the same length.

1) You are told that the m<span>easure of segment HJ = 9x-2 and that of segment JK = 4x+13. Since you also know they are equal lengths, you can set these equations equal to each other to find the value of x!
HJ = JK
</span>9x-2 = 4x+13
5x = 15
x = 3

2) Now you know x = 3. Plug that into your given equations for HJ and JK to find the length of each segment (or a shortcut would be to find one of them, and then you also know the other is the same length. I'm doing both, just to make sure I don't make a silly mistake!):
HJ = <span>9x-2 
</span>HJ = 9(3) - 2
HJ = 27 - 2
HJ = 25

JK = 4x + 13
JK = 4(3) + 13
JK = 12 + 13
JK = 25

3) Finally, the length of HK is just the length of HJ + JK, or HK = 25 + 25 = 50.

-----

Answer: HJ = 25, JK = 25, HK = 50
4 0
3 years ago
What is the explicit equation for this series 25,21,17,13
Neko [114]

Answer:

The explicit rule is:

Step-by-step explanation:

The explicit rule is given by:

a_n=a_1+d(n-1)

The given sequence is 25,21,17,13

a_1=25

d=21-25

d=-4

We plug in the values into the formula to get;

a_n=25+-4(n-1)

a_n=25-4n+4

a_n=29-4n

6 0
3 years ago
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