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Pavlova-9 [17]
3 years ago
13

What are the different ways to write multiplication?

Mathematics
2 answers:
Viktor [21]3 years ago
6 0

Answer:

Distribution, equal groups, skip counting, repeated addition, and array.

Step-by-step explanation:

Allushta [10]3 years ago
5 0
• x it help leave my first like :)
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Radical functions. please help me!
Sphinxa [80]
These are 8 questions and 8 answers:

1) Quesion 1:

 9+√2
---------
 4 - √7

Answer: the third option:

36 + 9√7 + 4√2 + √14
-----------------------------
               9

Explanation:

Multiply both numerator and denominator by the conjugate of the denominator.

The conjugate of 4 - √7 = 4 + √7

=>

\frac{9+ \sqrt{2} }{4- \sqrt{7} } . \frac{4+ \sqrt{7} }{4+ \sqrt{7} } =  \frac{(9)(4)+9 \sqrt{7}+4 \sqrt{2} + \sqrt{2} . \sqrt{7}  }{(4)^2-( \sqrt{7})^2 } =

= \frac{36+9 \sqrt{7} +4 \sqrt{2} + \sqrt{14} }{16-7}

2) Question 2: sum

5x (\sqrt[3]{x^2y})+2( \sqrt[3]{x^5y})

Answer: fourth option

7x( \sqrt[3]{x^2y} )

Explanation:

Take x^5 out of the second radical which will result in a like term of the first radical:

5x( \sqrt[3]{x^2y} )+2( \sqrt[3]{x^5y}) =5x( \sqrt[3]{x^2y} )+2x( \sqrt[3]{x^2y})=7x( \sqrt[3]{x^2y})

which is the fourth option

3) Question 3. Which expression is equivalent to:

\frac{ \sqrt{10} }{ \sqrt[4]{8} }

Answer: the first option

Explanation

\frac{ \sqrt{10} }{ \sqrt[4]{8} } = \frac{ \sqrt[4]{10^2} }{ \sqrt[4]{8} } = \frac{ \sqrt[4]{100} }{ \sqrt[4]{8} } .  \frac{ \sqrt[4]{8^3} }{ \sqrt[4]{8^3} }  = \frac{ \sqrt[4]{(100)(512)} }{8} = \frac{ \sqrt[4]{51200} }{8} = \frac{4 \sqrt[4]{200} }{8} = \frac{ \sqrt[4]{200} }{2}

4) Question 4 What is the simplest form?

Answer: the second option

Explanation:

\sqrt[4]{81x^8y^5}=x^2 y\sqrt[4]{3^4y}  =3x^2y \sqrt[4]{y}

5) Question 5 Product

Answer: the fourth option:

104x^4+16x^4 \sqrt{30} [/tex]\\Explanation:\\Use the square of a binomial product: (a + b)^2 = a^2 + 2ab + b^2\\[tex](4x \sqrt{5x^2} )^2+2(4x \sqrt{5x^2})(2x^2 \sqrt{6}) +(2x^2 \sqrt{6} )^2=

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

=104x^4+16x^4 \sqrt{30}

which is the fourth option.

6) Question 6 Product

Answer: fourth option

Explanation:

\sqrt[3]{16x^7} . \sqrt[3]{12x^9} = \sqrt[3]{2^4.2^2.3x^7x^9} =  \sqrt[3]{2^6.3.x^{16}}=2^2 x^5 \sqrt[3]{3x} =4 x^5\sqrt[3]{3x}

which is the fourth option.

7) Question 7. Simplified form of 2√18 + 3√2 + √162

Answer: 18√2

Explanation:

2 \sqrt{18}+3 \sqrt{2} + \sqrt{162}=2(3) \sqrt{2}  + 3 \sqrt{2} +9 \sqrt{2} =18 \sqrt{2}

which is the second option.

8) Question 8 which function is undefined for x = 0.

Answer: second option y = √ (x - 2)

Explanation.

The square root function is not defined for negative values.

When x = 0, x - 2 = -2, whose square root is not defined.

Therefore, the square root of x - 2 is not defined for x = 0.
5 0
4 years ago
In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what i
erastova [34]
I'm not completely sure about this. But i think that you can use the Pythagorean Theroem to help with this problem. Which is:

a^{2}  + b^{2}  = c^{2}
8 0
4 years ago
A school is preparing fruit baskets for a local nursing home. There are 162 apples, 108 oranges, and 180 bananas. If the baskets
kari74 [83]

To solve this exercise, we must calculate the Maximum Common Divisor (M.C.D.), which is the greatest common divisor of 62,108 and 180. We apply factor decomposition, and we obtain:

 162= (3^4)(2)

 108= (2^2)(3^3)

 180= (2^2)(3^2)(5)

 We choose the common numbers with their lowest exponent:

 M.C.D.= (2)(3^2)

 M.C.D.= 2x9

 M.C.D.= 18

 The greatest number of baskets that can be made is: 18 baskets

 To know how many apples, oranges and bananas are in each basket, we must divide the greatest number of them that can be made between the total amount of apples, oranges and bananas, as shown below:

 162/18= 9 apples

 108/18= 6 oranges

 180/18= 10 bananas

 So, there are 9 apples, 6 oranges and 10 bananas in each basket.


3 0
4 years ago
Read 2 more answers
PLEASE HELP FAST I'LL MARK YOU AS BRAINLIST
konstantin123 [22]

Answer: 400

Step-by-step explanation: cube root 8000 then that times itself

5 0
2 years ago
The college hiking club is having a fund raiser to buy new equipment for fall and winter outings. The club is selling Chinese fo
7nadin3 [17]

Answer:

0.0288 or 2.88%

Step-by-step explanation:

(a) So the probability of winning 1 dinner-for-two prize out of 521 possible cookies, knowing that Lisa bought 15 cookies is the probability that fortune cookie falls into the 15 out of 521 possible cookies, which is:

15 / 521 = 0.0288 or 2.88%

8 0
3 years ago
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