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Sonja [21]
3 years ago
9

Sam is laying out patio stones in a triangular pattern. The first row has 2 stones and each row has 2 additional stones, as show

n below. How many complete rows can he make with a box of 144 stones? Enter a numerical answer.
Mathematics
1 answer:
blondinia [14]3 years ago
7 0
Eleven complete rows and that will consist of a total of 132 srones


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A ball is thrown into the air with an upward velocity of 32 ft/s. Its height h in feet after t seconds is given by the function
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<span>2 s; 22 ft 1 s; 22 ft 2 s; 6 ft 1 s; 54 ft i et itdont g</span>
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Kerry and Tya are sharing a pack of stickers. Each girl gets 11 stickers. Write and solve a division equation to find how many t
Shalnov [3]
Since each girl gets 11 sticker that means that there are 22 stickers in the pack.

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4 0
4 years ago
Please help with this thank youu
Arte-miy333 [17]

Answer:

D = 106

e = 54

f = 20

Step-by-step explanation:

its ur answer

6 0
3 years ago
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y = 2/5x + 3

Step-by-step explanation:

7 0
4 years ago
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
4 years ago
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