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2 years ago

6

Choose the correct simplification of the expression the quantity a to the 3rd power over b to the 7th power all raised to the 2n

d power. a to the 5th power over b to the 9th power a over b to the 14th power a to the 6th power over b to the 14th power a6b14

2 answers:

sertanlavr [38]2 years ago

8 0

$(\frac{a^3}{b^7})^2=\frac{a^{3 \times 2}}{b^{7\times2}}= \frac{a^6}{b^{14}}$

Maksim231197 [3]2 years ago

5 0

(a^3/b^7)^2
Bring the power of 2 into the numerator and denominator.
a^6/b^14

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Here's the question.

OleMash [197]

Answer:

The value of T₂₀ - T₁₅ is <u>-20</u>.

Step-by-step explanation:

<u>Given</u> :

>> If for an A.P, d = -4

<u>To</u><u> </u><u>Find</u> :

>> T₂₀ - T₁₅

<u>Using Formula</u> :

General term of an A.P.

$\star{\small{\underline{\boxed{\sf{\red{ T_n = a + (n - 1)d}}}}}}$

>> Tₙ = nᵗʰ term
>> a = first term
>> n = no. of terms
>> d = common difference

<u>Solution</u> :

Firstly finding the A.P of T₂₀ by substituting the values in the formula :

${\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}$

${\dashrightarrow{\sf{ T_{20} = a + (20 - 1) d}}}$

${\dashrightarrow{\sf{ T_{20} = a + (19)d}}}$

${\dashrightarrow{\sf{ T_{20} = a + 19 \times d}}}$

${\dashrightarrow{\sf{ T_{20} = a + 19d}}}$

${\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a + 19d}}}}}}$

Hence, the value of T₂₀ is a + 19d.

$\rule{190}1$

Secondly, finding the A.P of T₁₅ by substituting the values in the formula :

${\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}$

${\dashrightarrow{\sf{ T_{15}= a + (15 - 1) d}}}$

${\dashrightarrow{\sf{ T_{15}= a + (14) d}}}$

${\dashrightarrow{\sf{ T_{15}= a + 14 \times d}}}$

${\dashrightarrow{\sf{ T_{15}= a + 14d}}}$

${\star{\underline{\boxed{\sf \pink{ T_{15}= a + 14d}}}}}$

Hence, the value of T₁₅ is a + 14d

$\rule{190}1$

Now, finding the difference between T₂₀ - T₁₅ :

${\dashrightarrow{\pmb{\sf{T_{20} - T_{15}}}}}$

${\dashrightarrow{\sf{(a + 19d) - (a + 14d)}}}$

${\dashrightarrow{\sf{a + 19d - a - 14d}}}$

${\dashrightarrow{\sf{a - a + 19d - 14d}}}$

${\dashrightarrow{\sf{0+ 19d - 14d}}}$

${\dashrightarrow{\sf{19d - 14d}}}$

${\dashrightarrow{\sf{5 \times - 4}}}$

${\dashrightarrow{\sf{ - 20}}}$

${\star \: \underline{\boxed{\sf{\pink{T_{20} - T_{15} = - 20}}}}}$

Hence, the value of T₂₀ - T₁₅ is -20.

$\underline{\rule{220pt}{3.5pt}}$

3 0

2 years ago

A local technical school has 856 students. They expect 700 guests for a special speaker. The custodian has set up 1,500 chairs.

Delicious77 [7]

Answer:

56 chairs

Step-by-step explanation:

856+700=1556 <--- expected count

chairs set up= 1500

1556-1500= 56 more chairs

4 0

3 years ago

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A rancher owns a rectangular piece of land that is 4.1 mi long and 2.5 mi wide. Find the units for the perimeter of the rectangl

Naddik [55]

Answer:

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Step-by-step explanation:

Length(l) = 4.1mi

Breadth(b) = 2.5 mi

Perimeter of a rectangle = addition of all sides that is = l + l + b + b as a rectangle has 2 opposite equal length and also breadth.

Therefore perimeter = 4.1 + 4.1 + 2.5 + 2.5

= 8.1 + 5

=13.1 mi

I hope this was helpful, Please mark as brainliest

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What is one similarity and one difference between an altitude and a median of a triangle?

trasher [3.6K]

The median of the triangle is a segment that connects the vertex of the triangle to the midpoint of the side opposite to the vertex. <span>The altitude of the triangle is a segment that connects the vertex of the triangle to the side opposite to the triangle, which intersects that side at exactly 90°.</span>

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What does rotation summery means in your own words?

sashaice [31]

Rotational symmetry is when an object looks the same when rotated around its center by an angle not equal to 0° (0) or any multiple of 360° (2π).

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