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Illusion [34]
3 years ago
14

The height h in feet of the ball t seconds after it is kicked can be modeled by the function h = -4t (4t - 11). How long is the

football in the air?
Mathematics
1 answer:
Vaselesa [24]3 years ago
6 0

Answer:

t₁  = 2,75 sec

Step-by-step explanation:

The ball will get h maximum when  dh/dt ( its vertical component of the speed is equal to 0. At this moment the ball has flown half of the total flight time

Then

h(t)  = - 4t * ( 4*t - 11 )

h(t)  = - 16*t² + 44*t

Taking derivatives on both sides of the equation we get:

dh/dt  =  - 32*t  +  44

dh/dt  = 0     ⇒   -32*t  + 44 = 0

t  =  44/32     ⇒   t = 1,375 s

So twice this time

2*t   =  2 * 1.375

Total time t₁  = 2,75 sec

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Clare has 5 yards of ribbon. It takes 1/2 yard to make a bow. How many bows can Clare make with the ribbon? Write a multiplicati
KonstantinChe [14]

Answer:

10 yards (Add label!!)

Step-by-step explanation:

5x1/2=10

8 0
2 years ago
Light bulbs cost £2.30 each. Yasmin buys as many as she can with £20. How much change should she get? Give your answer in pounds
djyliett [7]

Answer:

£1.6

Step-by-step explanation:

£20 ÷ £2.3= 8 remainder 1.6

change= £1.6

6 0
3 years ago
Read 2 more answers
Whats the equation for this problem?
Marina86 [1]
I know that x is equal to 11 and i hope it helps you 
if so please mark as Brainliest
7 0
3 years ago
Read 2 more answers
Equation for ( 6, 13) ( 7900, 5 )
tia_tia [17]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

y=mx+b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

(x_ {1}, y_ {1}) :( 6,13)\\(x_ {2}, y_ {2}): (7900,5)

We find the slope of the line:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5-13} {7900-6} = \frac {-8} {7894} = - \frac {4} {3947}

Thus, the equation of the line is of the form:

y = - \frac {4} {3947} x + b

We substitute one of the points and find b:

13 = - \frac {4} {3947} (6) + b\\13 = - \frac {24} {3947} + b\\13+ \frac {24} {3947} = b\\b = \frac {51335} {3947}

Finally, the equation is:

y = - \frac {4} {3947} x + \frac {51335} {3947}

Answer:

y = - \frac {4} {3947} x + \frac {51335} {3947}

5 0
3 years ago
Solve the given differential equation by undetermined coefficients. y'' 4y = 7 sin(2x)
kherson [118]

The solution to the given differential equation is yp=−14xcos(2x)

The characteristic equation for this differential equation is:

P(s)=s2+4

The roots of the characteristic equation are:

s=±2i

Therefore, the homogeneous solution is:

yh=c1sin(2x)+c2cos(2x)

Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:

yp=Axsin(2x)+Bxcos(2x)

If you take the second derivative of the equation above for  yp , and then substitute that result,  y′′p , along with equation for  yp  above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side,  sin(2x) , you will find:

A=0

B=−14

Therefore,

yp=−14xcos(2x)

For more information about differential equation, visit

brainly.com/question/18760518

8 0
2 years ago
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