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nexus9112 [7]
3 years ago
8

The sum of √12 and √3 is

Mathematics
1 answer:
forsale [732]3 years ago
8 0

Step-by-step explanation:

You're going to break√12 into ✓4 and √3 because 4*3 = 12. Square rooting 4 will give you two, and now you can add since the argument of the roots are the same.

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There are 150 oranges, apples and pears in a box. The ratio of the number of oranges to the number of apples is 3:5 and the rati
Rom4ik [11]

Answer:

  Pears:  30

Step-by-step explanation:

Constant:

  3x + 5x + 2x = 150

                 10x = 150

                    x = 15  

Multiply ratio with constant from above:

  oranges : apples

       3 * 15 : 5 * 15

            45 : 75       ==>               45 oranges: 75 apples

  pears : apples

   2 * 15 : 5 * 15

        30 : 75          ==>                    30 pears: 75 apples

Check:

45 oranges + 75 apples + 30 pears = 150 fruits

4 0
3 years ago
Which of the following represents the zeros of f(x) = x3 − 11x2 + 38x − 40?
Delvig [45]
The answer is <span>5, 4, 2
</span>
Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
                          x³ - 11x² + 38x - 40
(x - 5)  * x² =      x³ - 5x²                   Subtract
____________________________
                              -6x² + 38x - 40
   (x - 5) * (-6x) =    -6x² + 30x          Subtract
____________________________
                                           8x - 40
                    (x - 5) * 8 =     8x - 40   Sutract
____________________________
                                              0

Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)

Now, let's simplify x² - 6x + 8.

x² - 6x + 8 = x² - 2x - 4x + 8 =
                  = x² - 2*x - (4*x - 4*2) = 
                  = x(x - 2) - 4(x - 2) =
                  = (x - 4)(x - 2)

Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0            or             x - 4 = 0              or      x - 2 = 0
x = 5                 or              x = 4                   or      x = 2
3 0
3 years ago
Look at the image below
boyakko [2]

Answer:

201.1 km²

Step-by-step explanation:

Surface area of the figure,

4πr²

= 4×π×4²

= 64π

= 201.1 km² (rounded to the nearest tenth)

4 0
3 years ago
A small-business Web site contains 100 pages an 60%, 30%, and 10% of the pages contain low, moderate, an high graphic content, r
Karolina [17]

Answer:

fx(x)=[(4! /(x!)*(4-x)!]*[(0.3) ^x]*[(0.7) ^ (4-x)]

Step-by-step explanation:

F(x) is been calculated by considering X (moderate) as one outcome and low and high combined as one outcome now probability function will be same as binomial distribution

F(x) = [(4! /(x!)*(4-x)!]*[(0.3) ^x]*[(0.7) ^ (4-x)]

8 0
3 years ago
Determine the next three terms in the following sequence:<br><br> -1, 1/2, -1/4, 1/8,__,__,__,….
matrenka [14]

Answer:

B

Step-by-step explanation:

1 : 2 = 1/2 : 2 = 1/4 : 2 = 1/8 : 2 = 1/16 : 2 = 1/32 : 2= 1/64

4 0
3 years ago
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