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3 years ago

Question 1:

Mathematics

1 answer:

pogonyaev3 years ago

3 0

Answer:

1) expression

2) 1

3) I don't see an 'r', so not sure about the coefficient. if there isn't a 'r' on purpose, then the coefficient is 0

4) 7

5) yes, 2x and -3x and 2xy, -5yx

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How did planetesimals form<br> (Not really math xD)

Andreyy89

Condensation, the process of forming solid particles from the solar nebula, is an early process in the formation of a planetesimal<span>, an early solar system body of small to medium size that combines with other </span>planetesimals<span> to </span>form<span> protoplanets
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3 0

4 years ago

An expression is shown below. Which expression is equivalent to the expression shown?

olya-2409 [2.1K]

Answer:

where's the options

Step-by-step explanation:

i think you made a mistake

3 0

3 years ago

Read 2 more answers

A box of cashews, peanuts, and almonds contains 144 nuts. For every 2 cashews, there are 3 peanuts and 7 almonds. How many more

Rasek [7]

To solve this problem, first we need to find the number of peanuts, cashews, and almonds in the bag...

Total nuts=144

The ratio of cashews to peanuts to almonds can be shown as:

cashews:peanuts:almonds
2:3:7

Now lets add up the numbers in the ratio.

2+3+7=12

So, for every 12 nuts in the bag, 2 are cashews. For every 12 nuts in the bag, 3 are peanuts. For every 12 nuts in the bag, 7 are almonds.

Now lets divide the total number of nuts (144) by the sum of the ratio (12).

144/12=12

Now we can solve for the number of every type of nut in the bag...

Cashews=12*2=24nuts

Peanuts=12*3=36nuts

Almonds=12*7=84nuts

Now we can answer the problem:

Peanuts-cashews=
36-24=12 nuts

Answer: There are 12 more peanuts than cashews.

4 0

4 years ago

Read 2 more answers

What is the value of 5xexponent 3 y exponent 2 when x=2 and y=4

Fynjy0 [20]

D. 640

5x^3y^2

5(2)^3(4)^2

5(8) • 16

40 • 16

640

7 0

3 years ago

The displacement of a 500 g mass, undergoing simple harmonic motion, is defined by the function :

Valentin [98]

To solve this problem, we have to write out the simple harmonic motion equation and then use the respective formula to solve. The maximum kinetic energy, maximum potential energy and the maximum mechanical energy is equal to 7.56J.

<h3>Simple Harmonic Motion</h3>

The given equation of the simple harmonic motion is

$x = 3.5sin(\frac{\pi}{2t} + \frac{5\pi}{4})\\$

Data;

ω = π/2
k = 1.254N/m

Solving this

$\frac{dx}{dt} = \theta = -3.5 * \frac{\pi}{2} cos (\frac{\pi }{2}t + \frac{5\pi}{4})\\$

Let's calculate the maximum velocity.

$V_m = \frac{3.5\pi}{2}$

This is only possible when cos θ = -1

The maximum kinetic energy is

$K_m = \frac{1}{2}mv_m^2 = \frac{1}{2}* \frac{500}{1000} * (\frac{7\pi}{4} )^2\\K_m = 7.56J$

The maximum kinetic energy is 7.56J

The maximum potential energy can be calculated as

$\omega^2 = \frac{k}{m} \\k = \omega^2 m \\k = \frac{\pi^2}{4} * \frac{500}{1000}\\ k= 1.254 N/m$

Using the value of spring constant, we can find the maximum potential energy

$P.E = \frac{1}{2}kx^2\\P.E = \frac{1}{2} * 1.234 * 3.5^2\\P.E = 7.56J$

The maximum potential energy is 7.56J

The maximum mechanical energy is equal to the sum of maximum potential energy and the maximum kinetic energy.

$ME = P.E + K.E\\ME = 7.56J$

The reason ME is equal to 7.56J is because when x is at maximum, v = 0 and makes kinetic energy equal to zero.

ME = 7.56J

From the calculations above, the maximum kinetic energy, maximum potential energy and the maximum mechanical energy is equal to 7.56J.

Learn more on simple harmonic motion here;

brainly.com/question/15556430

#SPJ1

3 0

2 years ago