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Cloud [144]
3 years ago
12

Rewrite the expression with the given base. 125^2x with a base of 5

Mathematics
2 answers:
Firdavs [7]3 years ago
8 0
Note that 125 = 5^3

So 125^2x = 5^3(2x)  = 5^6x  answer
jasenka [17]3 years ago
6 0
Okay so you have to start by working out how many times you multiply 5 by itself to get 125. 

5x5x5=125

therefore: (5^3)^2x) is the answer:)
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Spencer made a quilt for his cousin's doll. The quilt had a 7x7 array of different color square patches. If each patch is 1 3/4
Damm [24]

Answer:

\frac{2401}{16} square inches

Step-by-step explanation:

Given:

The quilt made by Spencer had a 7×7 array of different color square patches such that each patch is 1\frac{3}{4} in long.

To find: the area of the whole quilt

Solution:

Side of each quilt = 7(\frac{3}{4})=7(\frac{7}{4})=\frac{49}{4}

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2 years ago
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Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calcul
umka21 [38]

Answer:

The number of calculators is 4871

Step-by-step explanation:

If we integrate dx/dt we get x, which is the number of calculators. To find the number of calculators between the beginning of third week to the end of fourth week (the beginning of fifth week), this integration must be evaluated at t between 3 and 5.

x=\int\limits^5_3 {\frac{dx}{dt}} \, dt =\int\limits^5_3 {5000(1-\frac{100}{(t+10)^2})} \, dt

the result of the integration is:

x=5000(t+\frac{100}{t+10}) to be evaluated between 3 and 5, which is:

x=5000(5+\frac{100}{5+10})-5000(3+\frac{100}{3+10})=\frac{190000}{39}=4871.8

6 0
2 years ago
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