Identify the correct solution for -10+(-16)-10

Calculate the acceleration of a moving object, given that the object is 500 g and has a a force of 6.5 n

ratelena [41]

Hello!

$\large\boxed{a = 13m/s^{2}}$

Use the equation F = m · a to solve where:

F = total force (N)

m = mass (kg)

a = acceleration (m/s²)

We are given the force and mass, so we can plug these values into the equation to solve.

However, mass is used in kilograms, so we must convert from grams to kilograms:

1 kg = 1000 grams

Convert using dimensional analysis or proportions:

$500 g* \frac{1 kg}{1000g} = 0.5kg$

Plug in the force and mass to solve:

6.5 = 0.5(a)

Divide both sides by 0.5 (Multiply by 2)

a = 13 m/s²

7 0

3 years ago

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4. What percent of 8 is 20?

ser-zykov [4K]

Answer:

Step-by-step explanation:

250 percent

7 0

3 years ago

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Determine the equations of the vertical and horizontal asymptotes, if any, for y=x^3/(x-2)^4

djverab [1.8K]

Answer:

Option a)

Step-by-step explanation:

To get the vertical asymptotes of the function f(x) you must find the limit when x tends k of f(x). If this limit tends to infinity then x = k is a vertical asymptote of the function.

$\lim_{x\to\\2}\frac{x^3}{(x-2)^4} \\\\\\lim_{x\to\\2}\frac{2^3}{(2-2)^4}\\\\\lim_{x\to\\2}\frac{2^3}{(0)^4} = \infty$

Then. x = 2 it's a vertical asintota.

To obtain the horizontal asymptote of the function take the following limit:

$\lim_{x \to \infty}\frac{x^3}{(x-2)^4}$

if $\lim_{x \to \infty}\frac{x^3}{(x-2)^4} = b$ then y = b is horizontal asymptote

Then:

$\lim_{x \to \infty}\frac{x^3}{(x-2)^4} \\\\\\lim_{x \to \infty}\frac{1}{(\infty)} = 0$

Therefore y = 0 is a horizontal asymptote of f(x).

Then the correct answer is the option a) x = 2, y = 0

3 0

4 years ago

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Can anykne solve for any of these? If yiu can put what letter you did.

Aneli [31]

A) y - 8= -2/3 (x + 3)
B) y + 1 = 4 (x - 5)
C) y - 8 = -3/7 (x - 4)
D) y - 7 = 2/3 (x - 5)
E) y + 5 = -5/3 (x + 3)

4 0

3 years ago

Please help me with a i don’t understand what it’s asking

Lapatulllka [165]

Answer:

(-3,6)

Step-by-step explanation:

y = 1/3 x +7

y = -2x

The question is asking you to find a value for x that would satisfy both equations.

Since y is equal to y ( y=y) you can set both of these equations equal to each other. You would get:

-2x = 1/3 x +7

now you can do some algebra to isolate the x on one side solving for it, this gives you:

-2x - 1/3 x = 7....... -6/3 x - 1/3 x = 7 ...... -7/3 x = 7 ...... -7x = 21 ..... x = -3

Now you have x = -3, and if you plug this into an equation , lets say the second one since it's easier to solve you get:

y = -2(-3) .... y=6

This means when you graph these two equations they should intersect at the point (-3,6)

5 0

3 years ago

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