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3 years ago

A constant force acts on a 30-g object and produces an acceleration of 2 m/s2. Find the force in dynes.

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

6 0

Answer:

Force F = 60 ×10⁻⁵ N

Step-by-step explanation:

Given that mass of the given object (m) = 30 grams

Given that the acceleration

a = 2 m/s²

Force:-

The push or pull on an object with mass that causes it to change its velocity

Force can make a body that is rest to move

it can accelerate the speed of a moving body

Formula for force

The formula for force F = m a

F = 30 × 2

F = 60 gm/s²

F = 60 ×10⁻⁵ N (∵ 1 d y n = 1gm² = 10⁻⁵N

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F(x) = 9x^3 + 2x^2 - 5x + 4 and g(x) = 5x^3 - 7x + 4. What is f(x) - g(x)?

sasho [114]

F(x)= 9x^3 + 2x^2 - 5x + 4
g(x)= 5x^3 - 7x + 4

f(x) - g(x)
9x³ + 2x² - 5x + 4 - (5x³ - 7x + 4)
9x³ + 2x² - 5x + 4 - 5x³ +7x - 4
9x³ - 5x³ + 2x² -5x + 7x + 4 - 4
4x³ + 2x² + 2x

5 0

3 years ago

Find the value of x. Round your answer to the nearest tenth

Sati [7]

$x=13.8$

Step-by-step explanation:

Since the triangle is right use the tangent ratio to solve for x

$tan41^o=\frac{opposite}{adjacent}=\frac{12}{x}$

Multiply both sides by $x$

x × $tan41^o=12$ ( divide both sides by $tan41^o$ )

x = ≈ ( nearest tenth )

6 0

2 years ago

With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the en

GuDViN [60]

Answer:

$P = 0.1447$

Step-by-step explanation:

Given

$n = 7000$ -- total

$d = 180$ --- defective

$r = 6$ --- selected

Required

The probability of rejecting the batch

This means that at least one of the selected piece is defected.

So, we first calculate the probability that all the selected piece are accepted.

So, we have:

$Pr = \frac{7000 - 180}{7000} * \frac{6999 - 180}{6999}* \frac{6998 - 180}{6998}* \frac{6997 - 180}{6997}* \frac{6996 - 180}{6996}* \frac{6995 - 180}{6995}$

The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs

So, we have:

$Pr = \frac{6820}{7000} * \frac{6819}{6999}* \frac{6818}{6998}* \frac{6817}{6997}* \frac{6816}{6996}* \frac{6815}{6995}$

$Pr = 0.8553$

Using the complement rule, the probability that the batch will be rejected is:

$P = 1 - 0.8553$

$P = 0.1447$

8 0

3 years ago

4x6.2= 4(6+0.2) = (4x ) + (4 x )

PSYCHO15rus [73]

Answer:

X=3.1

(4•3.1)+(4•3.1)

Step-by-step explanation:

4 of 6.2 is equal to 24.8

4•(6+0.2) = 24.8

4•3.1=12.4•2=24.8

12.4+12.4=24.8

(4x)+(4×)=24.8

5 0

3 years ago

The sum of the ages of Berma, her mother Rinna and her father Erwin is 80. Two years from now, Rinna’s age will be 13 less than

jekas [21]

Answer: Berma is 5 years old

Rinna is 38 years old

Erwin is 37 years old

Step-by-step explanation:

Let x represent Berma's age

Let y represent Rinna's age

Let z represent Erwin's age

Since the sum of their ages is 80,

x + y + z = 80 - - - - - - -1

Two years from now, Rinna’s age will be 13 less than the sum of Erwin’s age and twice Berma’s age. This means that

y +2 = [ (z+2) + 2(x+2) ] - 13

y +2 = z + 2 + 2x + 4 - 13

2x - y + z = 13 + 2 - 4 -2

2x - y + z = 9 - - - - - - -2

Three years ago, 15 times Berma’s age was 5 less than the age of Rinna. It means that

15(x - 3) = (y - 3) - 5

15x - 45 = y - 3 - 5

15x - y = - 8 + 45

15x - y = 37 - - - - - - - -3

From equation 3, y = 15x - 37

Substituting y = 15x - 37 into equation 1 and equation 2, it becomes

x + 15x - 37 + z = 80

16x + z = 80 + 37 = 117 - - - - - - 4

2x - 15x + 37 + z = 9

-13x + 2 = -28 - - - - - - - - -5

subtracting equation 5 from equation 4,

29x = 145

x = 145/29 = 5

y = 15x - 37

y = 15×5 -37

y = 38

Substituting x= 5 and y = 38 into equation 1, it becomes

5 + 38 + z = 80

z = 80 - 43

z = 37

6 0

3 years ago