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3 years ago

If your have 4096 cube

Mathematics

1 answer:

vekshin13 years ago

3 0

Answer:

a) $\sqrt[3]{4096} = 16$

b) 4096/ 4 = 1024

Step-by-step explanation:

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Find coordinates of the image of the point A(3,9) for a dilation with the scale factor of 2/3

tiny-mole [99]

Answer:

The coordinates of the image of point A(3,9) for dilation with the scale factor of 2/3 will be: A'(2, 6)

Step-by-step explanation:

Given the point A with the vertices (3, 9) i.e. A(3,9)

As we know that If the scale factor is between 0 and 1, the image gets shrunk.

In order to dilation with a scale factor of 2/3, just multiply the x and y coordinates of the original point (3, 9) by 2/3.

i.e.

(x, y) → (2/3 x, 2/3 y)

so, the coordinates of the image of point A(3,9) for dilation with the scale factor of 2/3 will be:

A (x, y) → (2/3 x, 2/3 y) = A (2/3 (3), 2/3 (9)) = A'(2, 6)

Therefore, the coordinates of the image of point A(3,9) for dilation with the scale factor of 2/3 will be: A'(2, 6)

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2 years ago

The average time spent sleeping (in hours) for a group of medical residents at a hospital can be approximated by a normal distri

nika2105 [10]

First we calculate the z-score for this situation.
$Z=\frac{X- \mu}{\sigma} = \frac{5.3-6.1}{1} = -0.8$
Finding P(x < 5.3) is the same as finding P(z < -0.8). Using a table of standard normal distribution and z-scores we see that the probability is 0.21186.

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3 years ago

A recipe calls for mixed nuts with 50% peanuts. 1/2 pound of 15% peanuts has already been used. How many pounds of 75% peanuts n

Galina-37 [17]

Now you have

(.15)0.5 lb peanuts = 0.075 lb peanuts
0.5 lb nuts 0.5 lb nuts

for every pound of 75% mixed nuts you add, you get .75 lb peanuts, how many pounds, x, do you need to add to get the ratio 50 to 100?

0.075 lb peanuts + 0.75x lb peanuts = 50 
0.5 lb nuts + x lb nuts 100

cross multiply

(0.075 + .75x) 100 = (0.5 + x) 50
7.5 + 75x = 25 + 50x
25x = 17.5
x = 0.7 lb of 75% peanuts

6 0

3 years ago

The temperature in one northern city was -12°F and in a southern city was 57°F. How much warmer

lara [203]

Answer

69°F

Because

12+57=69

3 0

3 years ago

3x+6-2 = 6x-(7/2*9/0)

kvv77 [185]

$3x+6-2 = 6x-( \frac{7}{2} \times \frac{9}{0} ) \\ \\ 3x + 4 = 6x - \frac{63}{0} \\ \\ 3x + 4 = 6x - 0 \\ \\ 4 + 0 = 6x - 3x \\ \\ 3x = 4 \\ \\ x = \frac{4}{3} .$

The value of x is 4/3 .

5 0

2 years ago

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