MATHEMATICS HIGH SCHOOL

What is the square root of ab^2

Answers

Answer 1

Answer:

Answer:

$b\sqrt a$

Step-by-step explanation:

We have to simplify the expression $√(ab^2)$

We can use the rules:

$√(xy)=\sqrt x\cdot\sqrt y...(i)\n\n√(x^2)=x...(ii)$

Using the rule (i), we can rewrite the expression as

$√(ab^2)\n\n=\sqrt a\cdot√(b^2)$

Now, using the rule (ii), we have

$\sqrt a\cdot√(b^2)\n\n=\sqrt a\cdot b\n\nb\sqrt a$

The simplified form is $b\sqrt a$

Answer 2

Answer: $√(ab^2) = b√(a)$

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Evaluate the floor function f(x) = ⌊x⌋ for the given input values. f(2) = f(6.8) = f(–3.3) =

Answers

Answer:

f(2) = 2 , f(6.8) = 6 and f(-3.3) = -4.

Step-by-step explanation:

We are given,

Floor function is $f(x)=\left \lfloor x \right \rfloor$ .

That is, the function have value,

$f(x)=n$ when $n\leq x< n+1$ .

So, we get,

For $2\leq x< 3$ , we have f(2) = 2

For $6\leq x< 7$ , we have f(6.8) = 6

For $-4\leq x< -3$ , we have f(-3.3) = -4

Thus, we have the values,

f(2) = 2 , f(6.8) = 6 and f(-3.3) = -4.

Answer:

The correct answers on edge .. yw have a great dayy

Step-by-step explanation:

f(2) =

f(6.8) =

f(–3.3) =

-4

Explain why it is necessary to rename 4 1/4 if you subtract 3/4 from it

Answers

To rename mixed numbers it need to be keep in mind that the equal forms of the fraction or the whole number. The given mixed number is renamed as three and half after the subtraction, because the value of the mixed number is changed after the subtraction.

Given information-

Mixed number given in the problem is,

$4(1)/(4)$

This mixed number can be named as four and one fourth.

What is mixed number?

Mixed numbers are the combination of the whole number and the fraction number. When the whole number and the part of the whole number is written combined, it is called the mixed number.

Subtracting mixed numbers by renaming-

To rename mixed numbers it need to be keep in mind that the equal forms of the fraction or the whole number.

Now to subtract the given mixed number from the given fraction number change it in the form of fraction form,

$4(1)/(4) -(3)/(4) =(17)/(4) -(3)/(4)\n$

Subtract as the denominator is same,

$4(1)/(4) -(3)/(4) =(17-3)/(4)\n4(1)/(4) -(3)/(4) =(14)/(4)$

The result 14/4 can be renamed in the mixed form as,

$(14)/(4)=3(1)/(2)$

Hence the given mixed number is renamed as three and half after the subtraction, because the value of the mixed number is changed after the subtraction.

Learn more about the mixed number here;

brainly.com/question/2639375?

You would rename four and one fourth when subtracted from three fourths because when you subtract the fractions you get a different fraction for your answer.
$4 (1)/(4)- (3)/(4)= 3 (1)/(2)$
so you would said three and one half instead of four and one fourth.
Hope I helped!

Pls help
8th math
Pls

Answers

i think it's the last one (my house). bcs to find the slope get 2 points and use the formula, which i did n got 2.5. use y=mx+b which i also did n got 0

Which test point holds true for 2/5x - 1/5>=0 ?

Answers

2/5x >= 1/5 multiple both sides by 5/2
so , x >= 1/2

Four coins are tossed several times. Which of the following represents the outcome on a coin that may not be fair? 1st coin is tossed 50 times and gives 24 heads and 26 tails.

2nd coin is tossed 250 times so that P(heads) = 0.25.

3rd coin is tossed 16 times and gives P(tails) = 9/16

4th coin is tossed 25,000 times and gives 12,505 heads.

Answers

If a fair coin is tossed a great many times, you
expect the results to be 50-50 or close to it.

First coin: 24 and 26. 48% and 52%.

Second coin: 25% and 75% .

Third coin: 9/16 and 7/16. 56.25% and 43.75% .

Fourth coin: 12,505 and 12,495 . 50.02% and 49.98% .

If I'm betting my own jellybeans, then I would not go anywhere near
the second coin, and I'm not all that happy with the third coin either.

A spherical balloon has a circumference of 21 cm. What is the approximate surface area of the balloon to the nearest square inch?

Answers

Answer:140 cm^2

Step-by-step explanation:

The answer is D. 140 cm². I think the circumference of the balloon means the circumference of the biggest circle. So the 21=2πr². While the surface area of a sphere is S=4πr². So the S≈140 cm².

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Find the area of a circle circumscribed about an equilateral triangle whose side is 18 inches long.a. 81b. 108c. 243