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2 years ago

Choose the correct simplification of the expression (2ab5)3. (1 point) Question 8 options: 1) 8ab15 2) 8a3b8 3) 5a3b15 4) 8a3b15

Mathematics

1 answer:

d1i1m1o1n [39]2 years ago

4 0

Answer:

4). $8a^{3}b^{15}$

Step-by-step explanation:

The Given expression is that,

$(2ab^{5})^{3}$

On simplifying,

$(2ab^{5})^{3}$ = $(2ab^{5} )(2ab^{5}) (2ab^{5})$

= $(2^{3} ) * (ab^{5})^{3}$

= (2×2×2) × ( $ab^{5}$ × $ab^{5}$ × $ab^{5}$ )

= $8a^{3}b^{15}$

Thus, <u>option 4</u> i.e. $8a^{3}b^{15}$ is the correct simplification of the given expression.

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Answer:

1) (1,4)

Step-by-step explanation:

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Narine is solving the equation = 6 for q. Her work is shown. = 6 = 62 3q = A q = B What are the correct values for A and B? A =

stepladder [879]

Question:

Narine is solving the equation $\sqrt{3q} = 6$ for q. her work is shown

$\sqrt{3q} = 6$

$\sqrt{3q}^{2} = 6^2$

$3q = A$

$q =B$

What are the correct values for A and B?

Answer:

$A = 36$ and $B = 12$

Step-by-step explanation:

Given the above set of expressions

Find A and B

Recall her step 2

$\sqrt{3q}^{2} = 6^2$

From laws of indices;

$\sqrt{a^2} = a$

So, the expression becomes

$3q = 6^2$

Also, from laws of indices;

${a^2} = a * a$

So, the expression becomes

$3q = 6 * 6$

$3q =36$

Given that $A = 3q$

This implies that $A = 36$

Recall that $3q =36$

Divide both sides by 3

$\frac{3q}{3} =\frac{36}{3}$

$q =\frac{36}{3}$

$q =12$

Given that $q =B$

This implies that $B = 12$

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2 years ago

(7-13x^3-11x)-(2x^3+8-4x^5)<br>

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Answer:

Simplify the expression.

4 x^5 - 15x^3 - 11x - 1

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2 years ago

From the top of a tower, the angle of depression to a flower on the ground

Ronch [10]

Answer:

25.8 ft

Step-by-step explanation:

Draw a right triangle with the right angle at the foot of the tower. The interior angle of the triangle at the top is the complement of the angle of depression. 90 - 74 = 16; it measures 16°. The leg at the bottom has length x. The height of the tower is the vertical leg and is 90 ft. We are looking for x.

For the 16° angle, x is the opposite leg, and 90 ft is the adjacent leg.

tan A = opp/adj

tan 16° = x/(90 ft)

x = 90 ft * tan 16°

x = 25.8 ft

Answer: 25.8 ft

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2 years ago