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klasskru [66]
1 year ago
7

d. If you double a certain number and subtrack 7 you get the same answer as when you add 5 to the number, Determine the number​

Mathematics
1 answer:
umka21 [38]1 year ago
4 0

Answer:

12

Step-by-step explanation:

Let n = the number.

2n - 7 = n + 5

n = 12


Let’s check if we got the right answer by substituting 12 for n into the original equation.

2*12 - 7 = 12 + 5

24 - 7 = 17

17 = 17

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The general solution to the second-order differential equation y′′+10y=0 is in the form y(x)=c1cosβx+c2sinβx. Find the value of
allsm [11]

Answer:β=√10 or 3.16 (rounded to 2 decimal places)

Step-by-step explanation:

To find the value of β :

  • we will differentiate the y(x) equation twice to get a second order differential equation.
  • We compare our second order differential equation with the Second order differential equation specified in the problem to get the value of β

y(x)=c1cosβx+c2sinβx

we use the derivative of a sum rule to differentiate since we have an addition sign in our equation.

Also when differentiating Cosβx and Sinβx we should note that this involves function of a function. so we will differentiate  βx in each case and multiply with the differential of c1cosx and c2sinx respectively.

lastly the differential of sinx= cosx and for cosx = -sinx.

Knowing all these we can proceed to solving the problem.

y=c1cosβx+c2sinβx

y'= β×c1×-sinβx+β×c2×cosβx  

y'=-c1βsinβx+c2βcosβx

y''=β×-c1β×cosβx + (β×c2β×-sinβx)

y''= -c1β²cosβx -c2β²sinβx

factorize -β²

y''= -β²(c1cosβx +c2sinβx)

y(x)=c1cosβx+c2sinβx

therefore y'' = -β²y

y''+β²y=0

now we compare this with the second order D.E provided in the question

y''+10y=0

this means that β²y=10y

β²=10

B=√10  or 3.16(2 d.p)

5 0
3 years ago
Write parametric equations of the line y=4x-5
Rasek [7]

Answer:

A set of parametric equations for the line y = 4x - 5 is;

x = t

y = 4t - 5

Step-by-step explanation:

To find a set of parametric equations for the line y = 4x - 5;

We can assign either variable x or y equal to the parameter t, in this case we can easily let x = t

We then substitute x = t in the original equation;

y = 4t - 5

Therefore, a set of parametric equations for the line y = 4x - 5 is;

x = t

y = 4t - 5

7 0
3 years ago
What is 1,030 times 12
almond37 [142]
your question answer is 12360
6 0
3 years ago
Read 2 more answers
Which of these numbers is the smallest<br> .0134<br> .802<br> .47<br> .0562<br> .137
Finger [1]
.0562 is the smallest number
4 0
3 years ago
PPLEASEE HELP<br> FIND THE VOLUME
Doss [256]

Answer:

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Step-by-step explanation:

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volume = 7 * 4 * 24 = 672 m 3

7 0
3 years ago
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