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Aleks04 [339]
3 years ago
11

Choose the product. a^3 b^2 · 4ab^3

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
7 0
The answer is 4a^4b^5
Rama09 [41]3 years ago
4 0

Answer:

4a^4b^5

Step-by-step explanation:

To find the product of:

a^3 b^2 \cdot 4ab^3         .....[1]

Using the exponent rules:

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

Apply the exponent rules on [1] we have;

4a^{3+1} \cdot b^{2+3}

Simplify:

4a^4 \cdot b^5

⇒4a^4b^5

therefore, the product  of  a^3 b^2 · 4ab^3 is, 4a^4b^5

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Emily has 300 books. if frank were to double the number of books that he now owns, he would still have fewer than Emily has
Alex_Xolod [135]
This statement is false. 
If he were to double the amount that Emily has to get franks, franks would have more. 
Look :)
Emily's = 300
Frank's = 300 x 2 = 600

now...
Emily's = 300
Frank's = 600

So frank has more! NOT fewer. 

8 0
3 years ago
Read 2 more answers
Find the angle between the given vectors to the nearest tenth of a
pochemuha

Answer: 109.1 degrees

Step-by-step explanation:

To find the angle between the given vectors, we will use the formula below:

Cos(θ) = (U.V)/ |U|.|V|

Where

U = 13i - 8j

V = 2i + 9j

U.V = (2x13) + (-8×9)

U.V = 26 - 72

U.V = - 46

|U| = sqrt ( 13^2 + 8^2)

= sqrt ( 233) = 15.264

|V| = sqrt( 2^2 + 9^2)

= sqrt ( 85 ) = 9.22

Substitute all the value of the parameters into the formula

Cos ø = -46 / (15.3 × 9.2)

Cos ø = - 46 / 140.72

Cos Ø = - 32687

Find the cos inverse of the value

Ø = cos^-1( -32687)

Ø = 109.079 degrees

Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees

6 0
3 years ago
In a certain isosceles right triangle, the altitude to the hypotenuse has length
Law Incorporation [45]

The angle bisector, median, and altitude are all the same things in an isosceles triangle.

That means that the legs of the smaller triangles created by the altitude are 4 root 2.

By special properties of an right triangle, the hypotenuse is 8.

Since the legs of the original right triangle are congruent, the area of the original triangle is 8*8/2.

Now we just simplify:

8*8/2=64/2=32

8 0
4 years ago
What is 2a - 8a = 12 - 8a
kicyunya [14]
2a-8a=12-8a
now add 8a to both side and you get

2a= 12

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3 years ago
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The diameter of a circle is 16 units. <br> What is the radius of the circle?
liraira [26]

Answer:

radius = 1/2 * diameter = 1/2 * 16 = 8 units

3 0
3 years ago
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