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1 year ago

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A teacher bought 7 packs of dominoes for a math game. Each pack had 55 dominoes. The teacher already had 118 dominoes to use in

the game.

1 answer:

S_A_V [24]1 year ago

6 0

Answer:

540540 dominoes

Step-by-step explanation:

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Consider the vibrating system described by the initial value problem. (A computer algebra system is recommended.) u'' + u = 8 co

krek1111 [17]

Answer:

u(t) = -(3 + w^2 ) cos t /(1- w^2)cos t + 7 sin t + 8 cos wt /(1- w^2)

Step-by-step explanation:

The characteristic equation is k²+1 = 0,⇒k²=−1,⇒ k=±i.

the roots are k = i or -i

the solution has the form u(x)=C₁cosx+C₂sinx.

Using undetermined coefficient method

Uc(t) = Pcos wt + Qsin wt

Uc’(t) = -Pwsin wt + Qwcos wt

Uc’’(t) = -Pw^2cos wt - Qw^2sin wt

U’’ + u = 8cos wt

-Pw^2cos wt - Qw^2sin wt + Pcos wt + Qsin wt = 8cos wt

(-Pw^2 + P) cos wt + (- Qw^2 + Q ) sin wt = 8cos wt

-Pw^2 + P = 8 which implies P= 8 /(1- w^2)

- Qw^2 + Q = 8 which implies Q = 0

Uc(t) = Pcos wt + Qsin wt = 8 cos wt /(1- w^2)

U(t) = uh(t ) + Uc(t)

= C1cos t + c2 sin t + 8 cos wt /(1- w^2)

Initial value problem

U(0) = C1cos(0) + c2 sin (0) + 8 cos (0) /(1- w^2)

C1 + 8 /(1- w^2) = 5

C1 = 5 -8 /(1- w^2) = -(3 + w^2 ) /(1- w^2)

U’(t) = -C1 sin t + c2 cos t - 8 w sin wt /(1- w^2)

U’(0) = -C1 sin (0) + c2 cos (0) - 8 w sin (0) /(1- w^2) = 7

c2 = 7

u(t) = -(3 + w^2 ) cos t /(1- w^2)cos t + 7 sin t + 8 cos wt /(1- w^2)

4 0

2 years ago

Read 2 more answers

What is a fraction that is equivalent to 0.997

Stels [109]

997/1000 hope this helps

5 0

2 years ago

Read 2 more answers

The length if Marshall's rectangular poster is 2 times its width.If the perimeter is 24 inches, what is the area of the poster.

4vir4ik [10]

Length=2x
width=x
Perimeter of a rectangle=2(lenght)+2(width)

The first is to find out the measures of this rectangle, that is to say, you have to find the length and width of these rectangle.

We can suggest this equation:
24=2(2x)+2(x)
4x+2x=24
6x=24
x=24/6
x=4

2x=2(4)=8

The lenght will be 8 in, and the length will be 4 in.

The second; you have to calculate the area of this rectangle.
area of a rectangle= lenght x width

area=(8 in)(4 in)=32 in²

answer: the area of Marshall´s rectangular poster would be 32 in²

4 0

1 year ago

Find the missing value for the exponential function represented by the table below x -2 -1 0 1 2 y 29 20.3 14.21 6.9629

andre [41]

Answer:

y=4.8710 is the missing value

Step-by-step explanation:

The first step in approaching this question is determining the exponential equation that models the set of data. This can easily be done in Ms.Excel application. We first enter the data into any two adjacent columns of an excel workbook. The next step is to highlight the data, click on the insert tab and select the x,y scatter-plot feature. This creates a scatter-plot for the data.

The next step is to click the Add chart element feature and insert an exponential trend line to the scatter plot ensuring the display equation on chart is checked.

The exponential regression equation for the data set is given as;

$y=12.321e^{-0.464x}$

To find the missing y value, we simply substitute x with 2 in the regression equation obtained;

$y=12.321e^{-0.464(2)}\\\\y=4.8710$

5 0

1 year ago

(14.14) larry reads that 1 out of 6 eggs contains salmonella bacteria. so he never uses more than 5 eggs in cooking. if eggs do

melomori [17]

we know that

The probability that "at least one" is the probability of exactly one, exactly 2, exactly 3, 4 and 5 contain salmonella.

The easiest way to solve this is to recognise that "at least one" is ALL 100% of the possibilities EXCEPT that none have salmonella.

If the probability that any one egg has 1/6 chance of salmonella

then

the probability that any one egg will not have salmonella = 5/6.

Therefore

for all 5 to not have salmonella

= (5/6)^5 = 3125 / 7776

= 0.401877 = 0.40 to 2 decimal places

REMEMBER this is the probability that NONE have salmonella

Therefore

the probability that at least one does = 1 - 0.40

= 0.60

the answer is

0.60 or 60%

6 0

1 year ago