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3 years ago

1) Simplify x3 x4 using the product of powers property. Les

Mathematics

1 answer:

Marat540 [252]3 years ago

5 0

Answer:

Step-by-step explanation

$a^{m} * a^{n} = a^{m+n}\\\\x^{3}*x^{4} = x^{3+4} = x^{7}$

In product of powers, if base is same, just add the powers

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N is an integer.<br> Write the values of n such that -15 < 3 ≤ 6<br><br> Help please ❤️❤️

Alex17521 [72]

Answer:

-4,-3,-2,-1,0,1

Step-by-step explanation:

First, doublepound and simplify it.

-15<3n

3n<6

Solve:

-5<n

n<2

Compound:

-5<n<2.

So the values are -4,-3,-2,-1,0,1

Hope this helps plz hit the crown :D

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3 years ago

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A rectangular gasoline tank can hold 45.0 kg of gasoline when full. what is the depth of the tank if it is 0.450 m wide by 0.900

garri49 [273]

The answer is 0.154 m

Step 1. Calculate the volume of gasoline tank (V) using the known mass (m) and density of gasoline (D).
D = m/V
⇒ V = m/D
D = 719.7 kg/m³
m = 45.0 kg
V = 45.0 kg/719.7 kg/m³ = 0.0625 m³

Step 2. Calculate the depth of the tank (d) using the known volume (V) of gasoline and width (w) and length (l) of the tank:
V = d * w * l
0.0625 = d * 0.900 * 0.450
0.0625 = d * 0.405
d = 0.0625 / 0.405
d = 0.154 m

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3 years ago

12/3 as a percent plz help

ira [324]

Answer:

400 %

Step-by-step explanation:

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3 years ago

Multiply and simplify the following expression -4√15 x(-√3)

larisa [96]

Answer:

$\large\boxed{12\sqrt5}$

Step-by-step explanation:

$\text{Use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\-----------------\\\\-4\sqrt{15}\cdot\left(-\sqrt3\right)=4\sqrt{(15)(3)}=4\sqrt{5\cdot3\cdot3}=4\sqrt5\cdot\sqrt9\\\\=4\sqrt5\cdot3=12\sqrt5$

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3 years ago

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Flauer [41]

Answer:

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2) 2:4

3) 4:8

4) 8:16

5) 16:32

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2 years ago

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