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2 years ago

A large cube has 5 layers, each with 5 rows of 5 small cubes. How many small cubes will the larger cube have.

Mathematics

1 answer:

Crank2 years ago

3 0

Answer:

The large cube will contain 125 total small cubes.

Step-by-step explanation:

In order to find this, we multiply the number of rows by the number of cubes in a row.

5 * 5 = 25

Now we take that number and we multiply it by the number of layers total.

25 * 5 = 125

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on his hike Hector went up 150 if he started at 30 ft below sea level elevation did he end up his hike

Ainat [17]

-30 + 150 = ?

= 120

Hector would be 120 feet ABOVE sea level.

5 0

2 years ago

The rate of change in sales for Garmin from 2008 through 2013 can be modeled by

Zina [86]

Answer:

a) The model for the sales of Garmin is represented by $S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112$ .

b) The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

Step-by-step explanation:

a) The model for the sales of Garmin is obtained by integration:

$S(t) = -0.0972\int {t^{2}} \, dt + 2.136\int {t}\,dt -11.9 \int\,dt$

$S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + C$ (1)

Where $C$ is the integration constant.

If we know that $t = 9$ and $S(t) = 2.9$ , then the model for the sales of Garmin is:

$-\frac{81}{2500} \cdot 9^{3} + \frac{267}{250}\cdot 9^{2}-11.9\cdot (9) + C = 2.9$

$C = 47.112$

The model for the sales of Garmin is represented by $S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112$ .

b) The average sales of the Garmin from 2008 through 2013 ( $\bar{S}$ ) is determined by the integral form of the definition of average, this is:

$\bar{S} = \frac{1}{13 - 8} \cdot \int\limits^{13}_{8} {S(t)} \, dt$ (2)

$\bar S = \frac{1}{5}\cdot \int\limits^{13}_{8} {\left[-\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2}-11.9\cdot t + 47.112 \right]} \, dt$

$\bar S = \frac{1}{5}\cdot \left[-\frac{81}{10000}\cdot (13^{4}-8^{4}) +\frac{89}{250}\cdot (13^{3}-8^{3}) -\frac{119}{20}\cdot (13^{2}-8^{2}) +47.112\cdot (13-8) \right]$ $\bar{S} = \frac{1}{5}\cdot (-198.167+599.86-624.75+235.56)$

$\bar{S} = 2.5$

The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

7 0

2 years ago

Last month you spent $30 on clothing. This month you spent 150% of what you spent last month. How much did you spend this month?

Ann [662]

Answer:

Last moth I spent $45 on clothing.

Step-by-step explanation:

To solve this problem, we just need to find 150% of $30.

30 x 1.50 = 45

Therefore, last moth I spent $45 on clothing.

Hope this helps! :D

3 0

2 years ago

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If all four sides of a quadrilateral measure the same length, and one corner angle measures 90°, circle that shape the quadrilat

emmasim [6.3K]

Its B for sure!!!!
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2 years ago

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Triangle $ABC$ is isosceles with $AB = BC.$ If $AC = 20$ and $[ABC] = 240,$ then find the perimeter of triangle $ABC.$

gtnhenbr [62]

The perimeter of triangle ABC is 84.

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2 years ago

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