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Paladinen [302]

3 years ago

11

Last month, when Joe took his puppy to the veterinarian, the puppy weighed 4.1 pounds. This month, the puppy weighed 5.33 pounds

. What is the percentage increase of the weight of the puppy?

1 answer:

Nana76 [90]3 years ago

5 0

Answer:

30%

Step-by-step explanation:

4.1 + 1.23 = 5.33. 100 ÷ 4.1 = 24.3902439024. So 24.3902439024 x 1.23 = 30%

If there is anything wrong with this, feel free to say :)

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What is the following product? <br>(4x square root 5x^2 + 2^2 square root 6)^2

tangare [24]

The product is $104 x^{4}+16 \sqrt{30} x^{4}$

Explanation:

The given expression is $\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}$

We need to determine the product of the given expression.

First, we shall simplify the given expression.

Thus, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x \sqrt{5} x+2 x^{2} \sqrt{6}\right)^2$

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)^2$

Expanding the expression, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)$

Now, we shall apply FOIL, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}\right)^{2}+2 ( 2 x^{2} \sqrt{6})(4 x^{2} \sqrt{5})+\left(2 x^{2} \sqrt{6}\right)^{2}$

Simplifying the terms, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=16 \cdot 5 x^{4}+16 \sqrt{30} x^{4}+4 \cdot 6 x^{4}$

Multiplying, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=80 x^{4}+16 \sqrt{30} x^{4}+24 x^{4}$

Adding the like terms, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=104 x^{4}+16 \sqrt{30} x^{4}$

Thus, the product of the given expression is $104 x^{4}+16 \sqrt{30} x^{4}$

7 0

3 years ago

When there is a wedge between private costs and social costs, which of the following must be present?

Bogdan [553]

The negative externalities must be present.

4 0

3 years ago

How many minutes in a year

tresset_1 [31]

There are 525600 minutes in a regular year

There are 527040 minutes in a leap year

I hope that's help !

6 0

3 years ago

Can someone help me?

Zielflug [23.3K]

Can't see itt!!!!!!!

6 0

4 years ago

VMariaS [17]

Answer:

Neither

Step-by-step explanation:

First, you need to put your equations in y=mx+b form

Your first equation...

5x + 4y = 3

4y = 3-5x

y = -5/4x + 3/4

Your second equation...

5x-4y = -3

-4y = -5x -3

y = 5/4x + 3/4

The slopes aren't the same and are not reciprocals, so the answer would be neither.

7 0

3 years ago