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4vir4ik [10]
3 years ago
11

Simplify fully V8 x V18

Mathematics
2 answers:
MariettaO [177]3 years ago
7 0

Answer:

12

Step-by-step explanation:

·\sqrt{8}×\sqrt{18}=\sqrt{144}

\sqrt{144}=12

tangare [24]3 years ago
5 0

Answer:

12

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab} and \sqrt{a} × \sqrt{a} = a

Given

\sqrt{8} × \sqrt{18}

Simplifying each radical

\sqrt{8} = \sqrt{4(2)} = \sqrt{4} × \sqrt{2} = 2\sqrt{2}

\sqrt{18} = \sqrt{9(2)} = \sqrt{9} × \sqrt{2} = 3\sqrt{2}

Thus

\sqrt{8} × \sqrt{18}

= 2\sqrt{2} × 3\sqrt{2}

= 2 × 3 × \sqrt{2} × \sqrt{2}

= 6 × 2

= 12

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A drop of oil makes a circular ring in a water puddle. The radius of the oil ring expands at 1.5 cm per second. If r(t)=1.5t and
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Answer:

a(t) =n(0.25t^2)

Step-by-step explanation:

Given

r(t) = 0.5t

a(r) = nr^2

Required

Determine the area in terms of time

From the question, we have:

r(t) = 0.5t -> radius per time

and

a(r) = nr^2 --> area from radius

The interpretation of the question is to find the composite function: a(t)

If a(r) = nr^2, and r(t) = 0.5t, the

Substitute 0.5t for r

a(t) =n(0.5t)^2

a(t) =n*0.25t^2

a(t) =n(0.25t^2)

5 0
3 years ago
How much would you need to deposit in an account now in order to have $5000 in the account in 10 years? Assume the account earns
Blababa [14]

Answer:

$12500

Step-by-step explanation:

use si formula

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6 0
3 years ago
The researcher is interested to know if policy A (new) is more effective than policy B (old). Frame the hypothesis and describe
vesna_86 [32]

<u>Answer:</u>

<u>Null hypothesis: Policy B remains more effective than policy A.</u>

<u>Alternate hypothesis: Policy A is more effective than policy B.</u>

<u>Step-by-step explanation:</u>

Remember, a hypothesis is a  usually tentative (temporary until tested) assumption about two variables– independent and the dependent variable.

We have two types of hypothesis errors:

1. A type I error occurs when the null hypothesis (H0) is wrongly rejected.

That is, rejecting the assumption that policy B remains more effective than policy A when it is <em>actually true.</em>

2. A type II error occurs when the null hypothesis H0, is not rejected when it is actually false. That is, accepting the assumption that policy B remains more effective than policy A when it is <em>actually false.</em>

3 0
3 years ago
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USPshnik [31]
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8 0
3 years ago
Read 2 more answers
Find the value of a and of b for which<br>(a) the solution of x2 + ax &lt; b is<br>-2&lt;x &lt; 4​
KengaRu [80]

Answer: a = -2

b = 8

Step-by-step explanation:

Given :

x^{2} +ax

re - writing the equation , we have

x^{2} +ax-b

we need to find the value of a and b for which -2<x < 4 , this means that the roots of the quadratic equation are -2<x < 4.

The formula for finding the quadratic equation when the roots are known is :

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sum of roots = -2 + 4 = 2

product of roots = -2 x 4 = -8

substituting into the formula , we have:

x^{2} -2x-8=0 , which could be written in inequality form as

x^{2} -2x-8

comparing with x^{2} +ax-b , it means that :

a = -2

b = 8

3 0
3 years ago
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