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2 years ago

Find the product of 5√6 and √11 in simplest form. Also, determine whether the

Mathematics

1 answer:

goblinko [34]2 years ago

4 0

Answer:

Step-by-step explanation:

When you multiply radicals together, the only rule that needs to be followed is that the index is the same on both. These are both square roots (so the index is a 2 on each radical) so we can multiply the radicals together to get 5√66. That does not simplify at all and is irrational (since the decimal goes on without repeating)

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Write 125 as a product of primes. Use index notation when giving your answer.

Mnenie [13.5K]

Answer:

5^3

Step-by-step explanation:

125= 5*25

25=5*5

5 is a prime number and there are 3 of them so the answer in index notation will be 5^3

3 0

3 years ago

Suppose that 5 J of work is needed to stretch a spring from its natural length of 30 cm to a length of 39 cm.

vesna_86 [32]

Answer

given,

work = 5 J

spring stretch form 30 cm to 39 cm

$W = \dfrac{1}{2}kx^2$

x = 0.39 - 0.30 = 0.09 m

$5 = \dfrac{1}{2}k\times 0.09^2$

$k = \dfrac{5\times 2}{0.09^2}$

k = 1234.568 N/m

a) work when spring is stretched from 32 cm to 34 cm

x₂= 0.34 -0.30 = 0.04 m

x₁ = 0.32 - 0.30 = 0.02

$W = \dfrac{1}{2}k(x_2^2-x_1^2)^2$

$W = \dfrac{1}{2}\times 1234.568 \times (0.04^2-0.02^2)^2$

W = 0.741 J

b) F = k x

25 = 1234.568 × x

x = 0.0205 m

x = 2.05 cm

3 0

3 years ago

How many pounds of walnuts that cost $0.80 per pound must be mixed

jeyben [28]

Answer:

kt 5.20 yes

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the simple form of 35%

Yakvenalex [24]

Answer:

its 0.35

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

I need help guys. please help me idk it

vlada-n [284]

Solving inequalities is almost the same as solving equalities for basic cases. Only thing you've to watch out for is signs.
For example, in 2x + 3 > 5,
We may subtract 3 from both sides,
2x > 2
Hence, by dividing both sides by 2, we get x>1.

The inequality sign changes on multiplying with (-)
For example, 2 < 6
But, -2 > -6

And when you interchange a fraction
E.g. 3/4 > 2/3
But, 4/3 < 3/2

You can now solve these of your own
Try yourself

4 0

3 years ago