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12345 [234]
3 years ago
14

Log base 2 (1/4) ...?

Mathematics
1 answer:
liubo4ka [24]3 years ago
5 0
Log ( base 2 ) ( 1 / 4 ) =
= log ( base 2 ) ( 2 ^(-2 ) ) =   
= - 2 log ( base 2 ) 2 =    ( because : log x^n = n log x )
= ( - 2 ) * 1 =    ( because:   log (base x) x = 1 ) 
= -  2
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What is the area of this shape if each box is 1 square centimeter?
blondinia [14]
The area is one square centimeter

7 0
3 years ago
Jim's soccer team is making fruit baskets for a fundraiser. They have 88 peaches, 60 bananas, and 54 kiwis to use. If each baske
cluponka [151]

The greatest number of fruit baskets they can make is 2 with each one having 44 peaches, 30 bananas and 27 kiwis

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

Jim’s fruit basket has 88 peaches, 60 bananas and 54 Kiwis to  use.

If each basket have same number of each type, we have to determine the greatest number of fruit baskets they can make  

We need to find greatest common factor of 88, 60 and 54

When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor.

<em><u>Greatest common factor of 88, 60 and 54:</u></em>

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 88 are: 1, 2, 4, 8, 11, 22, 44, 88

Then the greatest common factor is 2

On dividing the number of fruits by 2 we get

\begin{array}{l}{\text { Apples in each basket }=\frac{88}{2}=44} \\\\ {\text { Bananas in each basket }=\frac{60}{2}=30} \\\\ {\text { Kiwis in each basket }=\frac{54}{2}=27}\end{array}

Hence, there can be 2 basket with each one having 44 peaches, 30 bananas and 27 kiwis

6 0
3 years ago
Which of the following points IS a solution to the system: y &gt; - 3x + 4 / y &gt; 2x / - y &lt; 7 Selected answer is not corre
Lady bird [3.3K]

Answer:

Solution : Third Option

Step-by-step explanation:

The first step here is to make all the signs uniform. As you can see the third inequality has a less than sign, which we can change to a greater than sign by dividing negative one on either side, making the inequality y > - 7.

\begin{bmatrix}y>-3x+4\\ y>2x\\ y>-7\end{bmatrix}

Now take a look at the third option. Of course the y - coordinate, 3, is greater than - 7, so it meets the third requirement ( y > - 7 ). At the same time 3 > 1( 2 ) > 2, and hence it meets the second requirement as well. 3 > - 3( 1 ) + 4 > - 3 + 4 > 1, meeting the first requirement.

Therefore, the third option is a solution to the system.

6 0
3 years ago
The following steps are used to rewrite the polynomial expression (x+2y)(x-5y)
neonofarm [45]
(x+2y)(x-5y)
do foil method:
x^2-5xy+2xy-10y^2
simplify x^2-3xy-10y^2,
so d is correct.
7 0
2 years ago
Read 2 more answers
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Answer:

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