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3 years ago

Write this number in expanded form in the box below. Use powers of ten in your answer.

Mathematics

2 answers:

Ira Lisetskai [31]3 years ago

7 0

Answer:300000400003000900306

Step-by-step explanation:there you go you just right a 0 for each number

yarga [219]3 years ago

5 0

Answer:

3000+400+30+9+0.30+0.06, very simple

Step-by-step explanation:

no need

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Help help help pls pls pls pls?

Kamila [148]

Answer:

Which explains the information needed to calculate speed and velocity?

Both require the total distance, but velocity also requires time and displacement.

Both require time, but velocity requires displacement and speed requires distance.

Speed requires displacement, while velocity requires distance.

Speed does not require time, while velocity does require time.

Step-by-step explanation:

4 0

3 years ago

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You want to purchase a new car in 5 years and you anticipate the cost of the car to be $55,000. You are given an investment plan

Usimov [2.4K]

Wow - that is an unusual calculation. You'll need a formula for the monthly payment of a monthly annuity, and it is located here:
http://www.1728.org/annuity3.htm (see formula 2)
You'll find THAT page and THIS page very helpful:
http://www.1728.org/annuitym.htm

rate = rate / 1,200
rate = 0.005166666667 
n= number of months = 5 * 12 = 60

monthly amount = [Total] / ([(1 + rate)^(n+1) -1] / [rate]) -1

monthly amount =
55,000 / [[( 1.005166666667)^(61)-1] / 1.005166666667] -1

monthly amount = 55,000 / [[1.3693761617 -1] / .005166666667]-1
monthly amount = 55,000 / [[.3693761617] / .005166666667]-1
monthly amount = 55,000 / (( 71.4921603244)-1)
monthly amount = 55,000 / ( 70.4921603244)
monthly amount = 780.2286062293 
OR 780.23 (rounded)

Yes, it's just that "simple". LOL

5 0

4 years ago

Read 2 more answers

Five increased by the product of x and three is 23. What is x?

Brrunno [24]

Answer:

x = 6

Step-by-step explanation:

The product of x and 3 is 3x

5 increased by this product is 5 + 3x, thus

5 + 3x = 23 ( subtract 5 from both sides )

3x = 18 ( divide both sides by 3 )

x = 6

6 0

3 years ago

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A painter can paint 3 walls in one hour. Which graph models a relationship with the same unit rate?

Irina18 [472]

Answer:

the bottom faded looking one

Step-by-step explanation:

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3 years ago

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