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babunello [35]
3 years ago
15

My I pless have a little help play just with one little thing (3^2 * 3^3)2

Mathematics
2 answers:
Ymorist [56]3 years ago
8 0

(3^2 \cdot 3^3)^2 \\\\= (3^{2+3})^2\\\\= (3^5)^2\\\\ =3^{5\cdot 2} \\\\=3^{10}

Bad White [126]3 years ago
5 0

( { {3}^{2} \times  {3}^{3}  })^{2}

▪▪▪▪▪▪▪▪▪▪▪▪▪

<h3>Solution:-</h3>

= ( { {3}^{2} \times  {3}^{3}  })^{2}

{ {a}^{m}  \times  {a}^{n} } =  {a}^{m + n}

=  ({ {3}^{2 + 3} })^{2}

=  ({3}^{5})^{2}

=  {3}^{5 \times 2}

=  {3}^{10}

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A train 375 m long is running at a speed of 45 km/hr.how long will it take to pass a single post
Kruka [31]

we know that

The time it takes for the train to pass a single post is equal to the time it takes for the train to pass its length.

the length of the train is-----> 375 m

<u>convert to Km</u>

1 Km =1,000 m

375 m=375/1,000=0.375 Km

the speed of the train is 45 km/hour

so

by proportion

\frac{1}{45}\frac{hour}{Km} =\frac{x}{0.375}\frac{hour}{Km}\\ \\45*x=0.375\\ \\ x=0.375/45\\ \\x=0.0083\ hours

<u>convert to minutes</u>

1 hour=60 minutes

0.0083 hours=0.0083*60=0.5 minutes

<u>convert to seconds</u>

1 minute=60 sec

0.5 minutes=0.5*60=30 sec

therefore

<u>the answer is</u>

30 seconds

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cbegin%7Bequation%7D%5Ctext%20%7B%20Question%3A%20If%20%7D%20%5Cln%20%28x%2By%29%3D4%20%5Cti
Art [367]

I think you meant to say

\ln(x+y) = 4xy

and not "4 times y" on the right side (which would lead to a complex value for y when x = 0). Note that when x = 0, the equation reduces to ln(y) = 0, so that y = 1.

Implicitly differentiating both sides with respect to x, taking y = y(x), and solving for dy/dx gives

\dfrac{1+\frac{dy}{dx}}{x+y} = 4y + 4x\dfrac{dy}{dx}

\implies \dfrac{dy}{dx} = \dfrac{4xy+4y^2-1}{1-4x^2-4xy}

Note that when x = 0 and y = 1, we have dy/dx = 3.

Differentiate both sides again with respect to x :

\dfrac{d^2y}{dx^2} = \dfrac{(1-4x^2-4xy)\left(4y+4x\frac{dy}{dx}+8y\frac{dy}{dx}\right)-(4xy+4y^2-1)\left(-8x-4y-4x\frac{dy}{dx}\right)}{(1-4x^2-4xy)^2}

No need to simplify; just plug in x = 0, y = 1, and dy/dx = 3 to get

\dfrac{d^2y}{dx^2} \bigg|_{x=0} = \boxed{40}

8 0
2 years ago
Sarah had (x) dollars. Rachel had four times as much as Sarah. Addie had 10 dollars less than Sarah. How much money did they hav
Oduvanchick [21]

Answer:

5X - 10

Step-by-step explanation:

Sarah had X

Then, Rachael had 4X

And, Addie had X - 10

Total dollar = X + 4X + X - 10

= 5X - 10

6 0
3 years ago
PLEASE IT'S DUE TOMORROW
jeka94

Answer:

1. 50 miles per hour

2.$3.25  (22.75 / 7 = 3.25)

3. Tony's Sewing Store

4. 100 hours (47 / 23.5 = 2, 50 x 2 = 100)

8 0
2 years ago
State the slope and y-intercept for -y+8x=2x
WITCHER [35]
The slope-intercept form: y = mx + b
m - a slope
b - y-intercept (0; b)

-y + 8x = 2x      |subtract 8x from both sides

-y = -6x      |change signs

y = 6x

Answer: The slope m = 6, y-intercept b = 0 -> (0; 0).
6 0
3 years ago
Read 2 more answers
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