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2 years ago

A sound wave travels through iron at a rate of 5120 m/s. At what rate does the sound wave travel in km/h

1 answer:

3 0

When converting a number with meters per second to a value with kilometers per second they best way to perform this operation is by using dimensional analysis or the factor label method. You would set up the equation starting with 5120 m/s times 1 km / 1000 m times 3600 s / 1 hr. It would look like this: (5120 m/ 1 s) x (1 km / 1000 m) x (3600 s / 1 hr) Your next step would be multiplying all the top numbers (numerators) together 5120 x 1 x 3600 = 18,432,000 Now multiple on the bottom numbers (denominators) together 1 x 1000 x 1 = 1000 Now you can divide the top product by the bottom product. 18,432,000 / 1000 = 18,432 km/hr is your final answer.

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SOLVE X SQUARED ADD 5X -14. ALL DIS HOMEWORK IS SOOO ANNOYING EXTRA CREDIT FOR PEOPLE WHO GET ME DE MARKKKSSS!!!!! PLS I DE BEGG

MrRissso [65]

Answer:

X= (7;-2)

Step-by-step explanation:

X2+5X-14

(X-7)(X+2)

X= 7;-2

5 0

3 years ago

Researchers at a pharmaceutical company have found that the effective time duration of a safe dosage of pain relief drug is norm

FrozenT [24]

Answer:

a) $P(1$

b) $P(X$

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Part a

Let X the random variable that represent the duration of a safe dosage of pain relief drug, and for this case we know the distribution for X is given by:

$X \sim N(1.5,0.8)$

Where $\mu=1.5$ and $\sigma=0.8$

We are interested on this probability

$P(1$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(1$

And we can find this probability on this way:

$P(-0.625$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(-0.625$

3) Part b

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability on this way:

$P(z$

6 0

3 years ago

Barbara says that the expression

insens350 [35]

Answer:

No she is wrong.

Step-by-step explanation:

Let's simplify step-by-step.

6−3y+4+2y

=6+−3y+4+2y

Combine Like Terms:

=6+−3y+4+2y

=(−3y+2y)+(6+4)

=−y+10

Answer:

=−y+10

5 0

2 years ago

total of 393 tickets were sold for the school play. They were elther adult tickets or student tickets. The number of student tic

Andrews [41]

Answer: adult ticket = 131 , student ticket = 262

Explanation:

Let x be the number of student ticket
Let y be the number of adult ticket

x + y = 393

x = 2y

Substitute x value:

2y + y = 393
3y = 393
y = 131

Substitute y value in one of the equation above:

x = 2(131)
x = 262

8 0

2 years ago

The unshaded area inside the figure to the right is 648 in.² Use this fact to write an equation involving x. Then solve the equa

FrozenT [24]

The second order polynomial that involves the variable x (border inside the rectangle) and associated to the unshaded area is x² - 62 · x + 232 = 0.

<h3>How to derive an expression for the area of an unshaded region of a rectangle</h3>

The area of a rectangle (A), in square inches, is equal to the product of its width (w), in inches, and its height (h), in inches. According to the figure, we have two proportional rectangles and we need to derive an expression that describes the value of the unshaded area.

If we know that A = 648 in², w = 22 - x and h = 40 - x, then the expression is derived below:

A = w · h

(22 - x) · (40 - x) = 648

40 · (22 - x) - x · (22 - x) = 648

880 - 40 · x - 22 · x + x² = 648

x² - 62 · x + 232 = 0

The second order polynomial that involves the variable x (border inside the rectangle) and associated to the unshaded area is x² - 62 · x + 232 = 0. $\blacksquare$

To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/11536910

3 0

2 years ago