Answer: no
Step-by-step explanationn. .......................................................w:eorkeok,feoferkeorkoe
Claire receives 24 marbles. David gets 30 marbles and Elizabeth gets 36 marbles.
4x+5x+6x=90
15x=90
x=6
4(6)=24 for Claire
5(6)= 30 for David
6(6)= 36 for Elizabeth
The decimal gives after the 9. There are four places behind the decimal between the two numbers being multiplied so there have to be 4 places behind the decimal in your answer.
Solve for v(t)=0 over the interval [0,2]
<span>sin(pi)<0, try t=pi/2, </span>
<span>3e^(-pi/4)sin(pi)= 0, so the interval 0 to pi/2 the particle travels forward [0,pi/2), then it goes negative for the rest of the interval (pi/2,2) and travels backward. </span>
<span>total distance = |integral 0 to pi/2 v(t) dt| + |integral pi/2 to 2 v(t) dt|
</span>∫[0 to π/2] v(t) dt = ∫[0 to π/2] (3 e^(−t/2) sin(2t)) dt
<span>. . . . . . . . . . . . . = ∫[0 to π/2] (3 e^(−t/2) sin(2t)) dt </span>
<span>. . . . . . . . . . . . . = −6/17 e^(−t/2) (sin(2t) + 4cos(2t)) |[0 to π/2] </span>
<span>. . . . . . . . . . . . . = −6/17 (e^(−π/4) (sin(π) + 4cos(π)) − e^(0) (sin(0) + 4cos(0))) </span>
<span>. . . . . . . . . . . . . = −6/17 (e^(−π/4) (0 − 4) − (0 + 4)) </span>
<span>. . . . . . . . . . . . . = −6/17 (−4e^(−π/4) − 4) </span>
<span>. . . . . . . . . . . . . = 24/17 (e^(−π/4) + 1) </span>
<span>. . . . . . . . . . . . . = 2.05544
</span>
∫[π/2 to 2] v(t) dt = ∫[π/2 to 2] (3 e^(−t/2) sin(2t)) dt
<span>. . . . . . . . . . . . . = ∫[π/2 to 2] (3 e^(−t/2) sin(2t)) dt </span>
<span>. . . . . . . . . . . . . = −6/17 e^(−t/2) (sin(2t) + 4cos(2t)) |[π/2 to 2] </span>
<span>. . . . . . . . . . . . . = −6/17 (e^(−1) (sin(4) + 4cos(4)) − e^(−π/4) (sin(π) + 4cos(π))) </span>
<span>. . . . . . . . . . . . . = −6/17 ( (sin(4)+4cos(4))/e − e^(−π/4) (0 − 4)) </span>
<span>. . . . . . . . . . . . . = −6/17 ( (sin(4)+4cos(4))/e + 4e^(−π/4)) </span>
<span>. . . . . . . . . . . . . = −0.205938 </span><span> </span>
<span>when you add absolute values of area you get actual distance traveled: </span>
<span>∫[0 to π/2] v(t) dt − ∫[π/2 to 2] v(t) dt </span>
<span>= 2.05544 − (−0.205938) </span>
<span>= 2.05544 + 0.205938 </span>
<span>= 2.261378 </span>
Answer:
250?
Step-by-step explanation:
I Don't Know If It's 250 because 250 Is Half Of 200, And Half Less Of 300, So I Guess It's 250? I Think I'm Wrong!
