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2 years ago

Consider the cylinder below. Which statements are true?

Mathematics

1 answer:

JulijaS [17]2 years ago

4 0

Answer:

a and c is true

Step-by-step explanation:

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X-3 (x+2) is less than 4x

lapo4ka [179]

no it is more than 4x it is 6x

6 0

3 years ago

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

1 year ago

PLZZZZZZ help with this

vlabodo [156]

Answer:

28m⁷n⁵

Step-by-step explanation:

You would first multiply 14 by 2. You would then multiply (which is really addition when it comes to exponents) your like-term exponents.

(14m²n⁵)(2m⁵) =28m⁷n⁵

14(2) = 28

m² + m⁵=m⁷

n⁵ + 0 = n⁵

4 0

3 years ago

Read 2 more answers

1. If you invest $500 in an account that earns 3.5% annually compounded monthly. How

Roman55 [17]

A

Answer with explanation

4 0

3 years ago

Find the surface area of the pyramid.

zaharov [31]

You would Mylutilpy 14x16

8 0

3 years ago