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2 years ago

14

A dump truck is filled with 82.162 pounds of gravel. It drops off 77.219 pounds of the gravel at a construction site. How much g

ravel is left in the truck?

1 answer:

goblinko [34]2 years ago

3 0

Answer:

I believe the answer is 4.943 :)

Step-by-step explanation:

82.162-77.219= 04.943

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Identify all of the following that are prime number. 2,97,11,27,31,42,59,63,72, and 81

Mademuasel [1]

2, 11, 31, 59 and 97 are all prime numbers.

8 0

3 years ago

Read 2 more answers

Solve A = 1/2bh for h

Delicious77 [7]

Answer:

C i think

Step-by-step explanation:

divide both sides by b, then multiply both sides by 2 and get 2A/b =h

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3 years ago

Part of the graph of the function f(x) = (x + 4)(x - 6) is

Mariulka [41]

Answer:

Step-by-step explanation:

#1: True

#2: False

#3: False

#4: False

#5: True

I hope I've helped you.

3 0

3 years ago

If x = a cosθ and y = b sinθ , find second derivative

Olin [163]

I'm guessing the second derivative is for <em>y</em> with respect to <em>x</em>, i.e.

$\dfrac{\mathrm d^2y}{\mathrm dx^2}$

Compute the first derivative. By the chain rule,

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}=\dfrac{\frac{\mathrm dy}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}$

We have

$y=b\sin\theta\implies\dfrac{\mathrm dy}{\mathrm d\theta}=b\cos\theta$

$x=a\cos\theta\implies\dfrac{\mathrm dx}{\mathrm d\theta}=-a\sin\theta$

and so

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{b\cos\theta}{-a\sin\theta}=-\dfrac ba\cot\theta$

Now compute the second derivative. Notice that $\frac{\mathrm dy}{\mathrm dx}$ is a function of $\theta$ ; so denote it by $f(\theta)$ . Then

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm df}{\mathrm dx}$

By the chain rule,

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm df}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}=\dfrac{\frac{\mathrm df}{\mathrm d\theta}}{\frac{\mathrm dx}{\mathrm d\theta}}$

We have

$f=-\dfrac ba\cot\theta\implies\dfrac{\mathrm df}{\mathrm d\theta}=\dfrac ba\csc^2\theta$

and so the second derivative is

$\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\frac ba\csc^2\theta}{-a\sin\theta}=-\dfrac b{a^2}\csc^3\theta$

4 0

3 years ago

For the inequality, decide whether the solution is represented by x <2.5 OR x >2.5. -25 > -5(x+2.5)

omeli [17]

To solve the inequality -25 > -5(x + 2.5), first multiply -5 by the number and variable in the parentheses.

-25 > -5x - 12.5

Now add 12.5 to both sides of the equation.

-25 + 12.5 > -5x - 12.5 + 12.5

-12.5 > -5x

Now divide -12.5 by -5 to get the answer.

-12.5 ÷ -5 is 2.5

You would think the final answer is 2.5 > x, but that is not true because -5 is negative and when a negative number is divided to both sides of an inequality, the sign gets flipped.

So, the real answer is 2.5 < x, or x > 2.5.

3 0

2 years ago