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3 years ago

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I need help with this.

1 answer:

Gekata [30.6K]3 years ago

3 0

angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

sides is particular type of line segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.

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Given the position of the particle, what the position(s) of the particle when it’s at rest

choli [55]

The position function of a particle is given by:

$X\mleft(t\mright)=\frac{2}{3}t^3-\frac{9}{2}t^2-18t$

The velocity function is the derivative of the position:

$\begin{gathered} V(t)=\frac{2}{3}(3t^2)-\frac{9}{2}(2t)-18 \\ \text{Simplifying:} \\ V(t)=2t^2-9t-18 \end{gathered}$

The particle will be at rest when the velocity is 0, thus we solve the equation:

$2t^2-9t-18=0$

The coefficients of this equation are: a = 2, b = -9, c = -18

Solve by using the formula:

$t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

Substituting:

$\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}$

We have two possible answers:

$\begin{gathered} t=\frac{9+15}{4}=6 \\ t=\frac{9-15}{4}=-\frac{3}{2} \end{gathered}$

We only accept the positive answer because the time cannot be negative.

Now calculate the position for t = 6:

$undefined$

6 0

2 years ago

The probability that a dancer likes ballet is .35. The probability that the dancer likes tap is .45. The probability that the da

Tom [10]

It is given the probability that a dancer like ballet is 0.35

So, P(B) = 0.35

It is given the probability that a dancer like tap is 0.45

So, P(T)= 0.45

The probability that he likes both ballet and tap is 0.30

So, $P(B\cap T)=0.30$

the probability that the dancer likes ballet if we know she likes tap. This is the case of conditional probability.

So, $P(B/T)=\frac{P(B\cap T)}{P(T)}$

$P(B/T)=\frac{0.30}{0.45}$

= 0.666

= 0.67

Therefore, the probability that the dancer likes ballet if we know she likes tap is 0.67.

Option 3 is the correct answer.

6 0

3 years ago

Please help with explanation if you can

sertanlavr [38]

Answer:

Step-by-step explanation:

The answer is b

8 0

3 years ago

Read 2 more answers

The slope of the line that passes through the point (17,20) and (1,-8) is

AlladinOne [14]

Answer:

y = m x + b standard form of equation for straight line\

m = (y2 - y1) / (x2 - x1) = (20 - -8) / 17 - 1) = 28 / 16

m = 7 / 4

8 0

3 years ago

Polly bought a cracker for $3 and then bought a parrot for $4. By how much did Polly's account change after her transactions?

nikitadnepr [17]

Answer: -7$ or down by 7$

Step-by-step explanation: Her account went down by 7 or x - 7.

Hope this helped!

Mark Brainliest if you want!

8 0

3 years ago