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2 years ago

Write √a^8a^3 as an algebraic expression using a rational exponent

Mathematics

1 answer:

antoniya [11.8K]2 years ago

5 0

Answer:

Step-by-step explanation:

I assume that the whole expression a⁸a³ is under the square root.

then remember 2 things :

1. when multiplying the same base variable (or constant) the result is that single base variable (or constant) to the power of the sum of the exponents.

e.g. x³x² = x⁵ because

x×x×x × x×x = x×x×x×x×x = x⁵

2. a square root as exponent is 1/2.

a cubic root is 1/3 and so on.

therefore

sqrt(a⁸a³) = sqrt(a¹¹) = a^11/2

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A lamina occupies the disk x squared space plus space y squared space less or equal than 4. Find the mass, if the density at any

Bingel [31]

Answer: Mass of Lamina is (K/3)

Centre of mass is (3/8, 3pi/16)

Step-by-step explanation:

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3 years ago

1. 2x = 2 - 9 21y = 4 - 6x

mina [271]

2x=2-9

21y=4-6x

2x=-7

6x=4-21y

x=-7/2

6(-7/2)=4-21y

-21=4-21y

-21-4=-21y

-25=-21y

y=-25/-21

:.y=1 4/21.

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4 years ago

URGENT! 40 POINTS! PLEASE HELP!

umka2103 [35]

Answer:

(a) $8 x(5 x-6)=40 x^{2}-48 x$

Step-by-step explanation:

(a) To find verify the answer we need to multiplying the equation $8 x(5 x-6)$

$8 x(5 x-6)=40 x^{2}-48 x$

Thus, this statement is true.

(b) To find verify the answer we need to multiplying the equation $-4 x\left(2 x^{2}+1\right)$

$-4 x\left(2 x^{2}+1\right)=-8 x^{3}-4 x$

Hence, the given statement is false.

$\begin{aligned}(x-3)(5 x-6) &=5 x^{2}-6 x-15 x+18 \\&=5 x^{2}-21 x+18\end{aligned}$

Hence, the given statement is true.

(d) To find verify the answer we need to multiplying the equation $(2 x+3)\left(x^{2}+3 x-5\right)$

$\begin{aligned}=(2 x+3)\left(x^{2}+3 x-5\right) &=2 x^{3}+6 x^{2}-10 x+3 x^{2}+9 x-15 \\&=2 x^{3}+9 x^{2}-x-15\end{aligned}$

Hence, the given statement is false.

4 0

3 years ago

Read 2 more answers

Collins middle school's basketball team won 75% of their games if they lost the board games how many games did they win?

attashe74 [19]

The phrase in the original question is:

....if they lost 12 games......

not

....if they lost board games......

Answer:

36 games won

Step-by-step explanation:

Given

$\%Win = 75\%$

$Lost = 12\ games$

Required

Number of games won

Give that: $\%Win = 75\%$

The percentage loss is:

$\%Loss = 100\% - \%Win$

So, we have:

$\%Loss = 100\% - 75\%$

$\%Loss = 25\%$

Calculate the number of games (n) using:

$Lost = \%Loss * n$

$12 = 25\% * n$

Make n the subject

$n = \frac{12}{25\%}$

$n = 48$

So, the games won is:

$Win = n - Lost$

$Win = 48 - 12$

$Win = 36$

3 0

3 years ago

#4 only please hurry!!!!!!

mojhsa [17]

Answer:

659.1

Step-by-step explanation:

6.591 * 100

=> 659.1 (We can just move the decimal point 2 places to the left because this is multiplication)

This is the same pattern used in all of the questions,

Pattern - Multiplying by powers of 10, which results in shifting of decimal places

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

4 0

3 years ago

Read 2 more answers