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4 years ago

Simplify the expression shown. (3m4n)2

Mathematics

1 answer:

laiz [17]4 years ago

6 0

Answer:

9m⁸n²

Step-by-step explanation:

(3m⁴n)² Remove parentheses

= 3²m⁸n² Square the 3

= 9m⁸n²

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Write the equation of a line in the given form.

Gnom [1K]

Answer:

$y = \frac{1}{4}x - 5$

Step-by-step explanation:

Slope intercept form: y = mx + b

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

= (-5 - (-4)) / (0 - 4)

= -1 / -4

= 1/4

Find y intercept using anyone of the given points and slope from above:

y = mx + b

$-5 = \frac{1}{4}(0) + b$

b = -5

Now use the above slope and y intercept to create equation of a line:

$y = \frac{1}{4}x - 5$

3 0

3 years ago

The mean number of words per minute (WPM) read by sixth graders is 86 with a variance of 225. If 44 sixth graders are randomly s

Dmitry [639]

P(X<=x) = 1 + 5.486 = 6.486

The z-score of the information given is,

z = (x - µ )/ σ

Where,

µ = mean

σ = standard deviation

From the information given,

x = 3.71

µ = 86

σ = √225 = 15

hence,

z = (3.71 - 86)/15 = -5.486

thus,

P(X<=x) = 1 + 5.486 = 6.486

hence , P(X<=x) = 1 + 5.486 = 6.486

Learn more about variance here brainly.com/question/9304306

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2 years ago

Dwayne drove 18 miles to the airport to pick up his father and then returned home. On the return trip he was able to drive an av

Nesterboy [21]

Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving <u>to</u> the airport (in mph)

⇒ v + 15 = average speed driving <u>from</u> the airport (in mph)

Using: distance = speed x time

$\implies t=\dfrac{d}{v}$

Create two equations for the journey to and from the airport, given that the distance one way is 18 miles:

$\implies t=\dfrac{18}{v} \ \ \textsf{and} \ \ t=\dfrac{18}{v+15}$

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

$\implies \dfrac{18}{v} +\dfrac{18}{v+15}=1$

Now all we have to do is solve the equation for v:

$\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1$

$\implies \dfrac{18(v+15)+18v}{v(v+15)}=1$

$\implies 18(v+15)+18v=v(v+15)$

$\implies 18v+270+18v=v^2+15v$

$\implies v^2-21v-270=0$

$\implies (v-30)(v+9)=0$

$\implies v=30, v=-9$

As v is positive, v = 30 only

So the average speed driving to the airport was 30 mph

(and the average speed driving from the airport was 45 mph)

8 0

2 years ago

Read 2 more answers

While checking the balance of your bank account, you must record a

satela [25.4K]

Answer:

Step-by-step explanation:

7 0

3 years ago

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What are the next three terms in the sequence -27, -19, -11, -3, 5, ...?

ddd [48]

Answer:

13, 21, 29

Step-by-step explanation:

the difference is 8

so add 8 to last numbers

3 0

3 years ago

Read 2 more answers