Rewrite √32/8 into simplified radical form

1 answer:

fomenos2 years ago

8 0

Factor out the largest perfect square of 32.
( in this example we factored out 16 )
Rewrite
____
/16⋅2

as the product of two radicals.
The square root of 16 is 4.
Divide numerator and denominator by 4.

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Arturiano [62]

Answer:

Step-by-step explanation:

Option C is the correct answer.

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3 years ago

Find the number of primes less than 190 using the principle of inclusion-exclusion.

Troyanec [42]

The number of primes less than 190 using the principle of inclusion-exclusion are 42

<h3>Principle of inclusion- exclusion</h3>

The principle of inclusion-exclusion is known as a counting technique that computes the number of elements satisfying at least one of several properties and guaranteeing that the numbers are not counted twice.

Prime numbers are numbers only divisible by 1 and itself.

Prime numbers less than 190 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181

They are 42 in number

Therefore, the number of primes less than 190 using the principle of inclusion-exclusion are 42

Learn more about prime numbers here:

brainly.com/question/874965

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8 0

2 years ago

Can someone help me on this ??

Natasha_Volkova [10]

Answer:

Step-by-step explanation:

$\bold{Standard\ form:}\ Ax+By=C\\\\\bold{Point\ Slope\ form:}\ y-y_1=m(x-x_1)\\\\\bold{Slope\ Intercept\ form:}\ y=mx+b\\\\\bold{General\ form:}\ Ax+By+C=0$

$1.\ y=4x-2\to y=mx+b\to m=4,\ b=-2\\\\\bold{Slope\ Intercept\ form}\\\\2.\ y-3=2(x+1)\to y-y_1=m(x-x_1)\to m=2,\ x_1=-1,\ y_1=3\\\\\bold{Point\ Slope\ form}\\\\3.\ 5x+3y=7\to Ax+By=C\to A=5,\ B=3,\ C=7\\\\\bold{Standard\ form}\\\\4.\ y+5=3(2x-4)\to\boxed{\bold{2x}}!!!\\\\\bold{None\ of\ the\ Forms}$