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4 years ago

What is the answer to 532.4 × 100

2 answers:

8 0

When multiplying 532.4 x 100, you simply move the decimal two spaces to the right, because 100 has 2 zeros. Thus, your answer is 53,240.

alexdok [17]4 years ago

8 0

$532.4\times 100 = 53,240$

Since we're multiplying by 100, we move two decimal spots to the left.

Your final answer is 53,240.

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I need help with these questions

maks197457 [2]

I think the answer would be 2 because if you divide 4 into 2 it equals 2

5 0

3 years ago

The slope of a line equals the “run over the rise.”<br> True or false

GalinKa [24]

Answer:

False

Step-by-step explanation:

The slope of a line is

Change in y over change in x

This is also known as rise over run

6 0

3 years ago

Read 2 more answers

On an alien planet with no atmosphere, acceleration due to gravity is given by g = 12m/s^2. A cannonball is launched from the or

almond37 [142]

Answer:

a) $\vec r (t) = \left[(90\cdot \cos \theta)\cdot t \right]\cdot i + \left[(90\cdot \sin \theta)\cdot t -6\cdot t^{2} \right]\cdot j$ , b) $\theta = \frac{\pi}{4}$ , c) $y_{max} = 84.375\,m$ , $t = 3.75\,s$ .

Step-by-step explanation:

a) The function in terms of time and the inital angle measured from the horizontal is:

$\vec r (t) = [(v_{o}\cdot \cos \theta)\cdot t]\cdot i + \left[(v_{o}\cdot \sin \theta)\cdot t -\frac{1}{2}\cdot g \cdot t^{2} \right]\cdot j$

The particular expression for the cannonball is:

$\vec r (t) = \left[(90\cdot \cos \theta)\cdot t \right]\cdot i + \left[(90\cdot \sin \theta)\cdot t -6\cdot t^{2} \right]\cdot j$

b) The components of the position of the cannonball before hitting the ground is:

$x = (90\cdot \cos \theta)\cdot t$

$0 = 90\cdot \sin \theta - 6\cdot t$

After a quick substitution and some algebraic and trigonometric handling, the following expression is found:

$0 = 90\cdot \sin \theta - 6\cdot \left(\frac{x}{90\cdot \cos \theta} \right)$

$0 = 8100\cdot \sin \theta \cdot \cos \theta - 6\cdot x$

$0 = 4050\cdot \sin 2\theta - 6\cdot x$

$6\cdot x = 4050\cdot \sin 2\theta$

$x = 675\cdot \sin 2\theta$

The angle for a maximum horizontal distance is determined by deriving the function, equalizing the resulting formula to zero and finding the angle:

$\frac{dx}{d\theta} = 1350\cdot \cos 2\theta$

$1350\cdot \cos 2\theta = 0$

$\cos 2\theta = 0$

$2\theta = \frac{\pi}{2}$

$\theta = \frac{\pi}{4}$

Now, it is required to demonstrate that critical point leads to a maximum. The second derivative is:

$\frac{d^{2}x}{d\theta^{2}} = -2700\cdot \sin 2\theta$

$\frac{d^{2}x}{d\theta^{2}} = -2700$

Which demonstrates the existence of the maximum associated with the critical point found before.

c) The equation for the vertical component of position is:

$y = 45\cdot t - 6\cdot t^{2}$

The maximum height can be found by deriving the previous expression, which is equalized to zero and critical values are found afterwards:

$\frac{dy}{dt} = 45 - 12\cdot t$

$45-12\cdot t = 0$

$t = \frac{45}{12}$

$t = 3.75\,s$

Now, the second derivative is used to check if such solution leads to a maximum:

$\frac{d^{2}y}{dt^{2}} = -12$

Which demonstrates the assumption.

The maximum height reached by the cannonball is:

$y_{max} = 45\cdot (3.75\,s)-6\cdot (3.75\,s)^{2}$

$y_{max} = 84.375\,m$

7 0

3 years ago

Viola is helping to plant a rectangular community garden a plant handbook states that 1 plant requires 8 square inches of soil g

Zigmanuir [339]

Answer:

252 plants

Step-by-step explanation:

First of all, calculate the area of the garden bed.

24 x 84 = 2016 inches squared

now, divide your answer by 8 (the amount of space needed for each plant)

2016 ÷ 8 = 252

I HOPE THIS WAS HELPFUL :-)

4 0

3 years ago

Compute 3 + (1-2(3-5))

soldier1979 [14.2K]

3+(1-2(3-5))
3+(1-6+10)
3+(1-16)
3+(-15)
-12

4 0

3 years ago