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kotykmax [81]
3 years ago
7

(3a^4b)(5ab^2)-(a^5b^2)(9b)

Mathematics
1 answer:
Sliva [168]3 years ago
5 0

Answer:

The expanded value of the given expression is

(3a^4b)(5ab^2)-(a^5b^2)(9b)=6a^5b^3

Step-by-step explanation:

Given expression is                                                                              

(3a^4b)(5ab^2)-(a^5b^2)(9b)

To find the value of the given expression:

(3a^4b)(5ab^2)-(a^5b^2)(9b)=15a^5b^3-9a^5b^3

(By multiplying the products and doing algebraci subtracion of the above expression)

Now taking the common terms in the above equation we get

(3a^4b)(5ab^2)-(a^5b^2)(9b)=3a^5b^3(5-3)

                                             =3a^5b^3(2)

                                             =6a^5b^3

Therefore the expanded value of the given expression is

(3a^4b)(5ab^2)-(a^5b^2)(9b)=6a^5b^3

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An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is 4 ft long with a diameter of 2.2 ft. S
gavmur [86]

Answer:

8\:\mathrm{minutes}

Step-by-step explanation:

The volume of a cylinder is given as:

r^2\cdot\pi\cdot h

Since the diameter is 2.2, the radius is \frac{2.2}{2}=1.1.

Therefore, the volume of this cylinder is:

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Since the tank is emptied at a constant rate of 1.5\:\mathrm{ft^3\:per\:minute}, it will take

\frac{15.1976}{1.5}=7.5988=\fbox{$8\:\mathrm{minutes}$} to empty the tank.

8 0
3 years ago
The perimeter of a rectangle is 34 units. Its width is 6.5 point, 5 units.
12345 [234]
<h3><u>Question:</u></h3>

The perimeter of a rectangle is 34 units. Its width W is 6.5 units.

Write an equation to represent the perimeter in terms of the length L, and find the value of L

<h3><u>Answer:</u></h3>

The length of rectangle is 10.5 units

<h3><u>Solution:</u></h3>

Given that,

Perimeter of rectangle = 34 units

Width of rectangle = 6.5 units

Let "L" be the length of rectangle

<em><u>The perimeter of rectangle is given by formula:</u></em>

Perimeter = 2(length + width)

<em><u>Substituting the values we get,</u></em>

34 = 2(L + 6.5)

Thus the equation is found

<em><u>Solve for "L"</u></em>

L + 6.5 = \frac{34}{2}\\\\L + 6.5 = 17\\\\L = 17 - 6.5\\\\L =10.5

Thus length of rectangle is 10.5 units

6 0
3 years ago
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6 0
3 years ago
Read 2 more answers
Find the coordinates of the center of the following circle.<br><br> (x - 3)² + (y - 7)² = 49
Zepler [3.9K]

When you write the equation of a circle in the form

(x-x_0)^2+(y-y_0)^2=r^2

Then the center of the circle has coordinates (x_0, y_0) and the radius is r

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7 0
3 years ago
I open a saving account with $200 and plan to put $50 per month in the account.
Akimi4 [234]

Answer:

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Step-by-step explanation:

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6 0
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