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4 years ago

Write in exponential form. 3^3×64×81×t^8 by 18×4^2×3^5×t^3

Mathematics

1 answer:

Volgvan4 years ago

3 0

Answer:

Step-by-step explanation:

3^3\times \:64\times \:81t^8\times \:18\times \:4^2\times \:3^5t^3

=3^3\times \:64\times \:3^4t^8\times \:3^2\times \:2\times \:4^2\times \:3^5t^3

=3^{14}\times \:4^2\times \:64\times \:2t^8t^3

=3^{14}\times \:4^2\times \:64\times \:2t^{11}

=9795520512t^{11}

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What is 18x-(8x-7)=67

dimaraw [331]

Answer:

Step-by-step explanation:

18x−(8x−7)=67

Step 1: Simplify both sides of the equation.

18x−(8x−7)=67

18x+−1(8x−7)=67(Distribute the Negative Sign)

18x+−1(8x)+(−1)(−7)=67

18x+−8x+7=67

(18x+−8x)+(7)=67(Combine Like Terms)

10x+7=67

Step 2: Subtract 7 from both sides.

10x+7−7=67−7

10x=60

Step 3: Divide both sides by 10.

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4 years ago

PLEASE HELP! TIME RUNNING OUT ,EXPLAIN THIS TO ME!!Dilation D Dv,2/5 was performed on a rectangle. How does the image relate to

Delvig [45]

Answer:

Options A ,B and E

Step-by-step explanation:

Here 2/5 is less then one then all sides are gonna 2/5 of initial length hence reduction occur.

Angles are not gonna affected because it is like zoom in.

Center of dilation can be anywhere as point Q is not specified in question thus it is wrong.

Yeah base of rectangle is reduced by a factor of 2/5.

5 0

3 years ago

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umka2103 [35]

Answer:

Step-by-step explanation:

y = 0.2x + 17......the slope is 0.2 (or 1/5)....in y = mx + b form, the slope can be found in the m position

(x,18).....y = 18 (25,y).....x = 25

y = 0.2x + 17 y = 0.2x + 17

18 = 0.2x + 17 y = 0.2(25) + 17

18 - 17 = 0.2x y = 5 + 17

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3 years ago

Write as an expression and simplify

Alexus [3.1K]

Answer:

Part a) $(2m+7n)(2m-7n)$

Part b) $x^2-16xy+64y^2$

Part c) $216a^3b^6$

Part d) $(a^2-b^2)$

Step-by-step explanation:

Part a) The difference of the squares of 2m and 7n.

we know that

The difference of the squares formula is equal to

$(a^2-b^2)=(a+b)(a-b)$

substitute

$(2m)^2-(7n)^2=(2m+7n)(2m-7n)$

Part b) The square of the difference of x and 8y

The formula of the square of the difference between two numbers is equal to

$(a-b)^2=a^2-2ab+b^2$

substitute

$(x-8y)^2=x^2-2(x)(8y)+(8y)^2=x^2-16xy+64y^2$

Part c) The tripled product of 6a and b^2

we have

$(6ab^{2})(6ab^{2})(6ab^{2})=(6ab^{2})^3=(6^3)(a^3)(b^{2})^3=216a^3b^6$

Part d) The product of the sum of a and b and their difference

The expression is equal to

$(a+b)(a-b)$

The expression represent the difference of the squares between a and b

$(a+b)(a-b)=(a^2-b^2)$

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3 years ago

What is 56 as a reduced fraction?

Gala2k [10]

56 reduced as a fraction is 56/100 or 14/25

7 0

4 years ago

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