3 years ago

Simplify the expression, write in expanded form and exponential form.

Mathematics

1 answer:

Xelga [282]3 years ago

4 0

Answer:

225 x a^4

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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2/5×3/7+3/10+1/14×2/5

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8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm

Ilya [14]

Answer:

a₁ = 38

Step-by-step explanation:

Given AP, where:

8a₈ = 12a₁₂
d = -2,
a₁ = ?

=============

<h3>Solution</h3>

aₙ = a₁ + (n-1)d

a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14
a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 22

8a₈ = 12a₁₂

8(a₁ - 14) = 12(a₁ - 22)
2(a₁ - 14) = 3(a₁ - 22)
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3a₁ - 2a₁ = -28 + 66
a₁ = 38

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3 years ago

Question

Alekssandra [29.7K]

Answer:

$d=7.8\ g/cm^3$

Step-by-step explanation:

Given that,

The dimensions of a rectangular block = 4 cm x 2 cm x 1.5 cm

Mass, m = 93.6 g

We need to find the density of steel. We know that the density of an object is equal to the mass divided by volume. So,

$d=\dfrac{m}{V}\\\\d=\dfrac{93.6}{4\times 2\times 1.5}\\\\d=7.8\ g/cm^3$

So, the density of the steel is $7.8\ g/cm^3$ .

8 0

3 years ago