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1 year ago

Is √50 greater or less then 7.8

Mathematics

2 answers:

Flura [38]1 year ago

7 0

Answer:

Less than.

square root 50 = 7.07

7.8 = 7.8

Lilit [14]1 year ago

6 0

Answer:

Squareroot 50=7.07 Approx

So $\sqrt50$ is less than 7.8

Step-by-step explanation:

Pls give Brainliest.

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Which expression is equivalent to (x superscript four-thirds baseline x superscript two-thirds Baseline ) superscript one-third

Andrei [34K]

<h3>The equivalent expression is:</h3>

$(x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}} = x^{\frac{2}{3}$

Solution:

Given expression is:

$\displaystyle (x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}}$

We have to find the equivalent expression

We can simplify the above expression using law of exponents

Use the following law of exponents:

$a^m \times a^n = a^{m+n}$

Therefore,

$\displaystyle (x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}} = (x^{\frac{4}{3}+\frac{2}{3}})^{\frac{1}{3}}\\\\Simplify\\\\\displaystyle (x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}} = (x^2)^\frac{1}{3}$

Use another law of exponent

$(a^m)^n = a^{mn}$

Therefore,

$(x^{\frac{4}{3}}x^{\frac{2}{3}})^{\frac{1}{3}} = x^{\frac{2}{3}$

Thus the equivalent expression is found

5 0

3 years ago

Read 2 more answers

If the number of bacteria in a colony doubles every 100 minutes and there is currently a population of 1,500 bacteria, what will

nadya68 [22]

The population will be 6,000

7 0

3 years ago

A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books. What is the probability

Gnesinka [82]

Answer:

Probability that one of them is mathematics and other two are either physics or history books = 0.51

Step-by-step explanation:

Given - A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books.

To find - What is the probability one of them is mathematics and other two are either physics or history books ?

Solution -

Given that,

A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books.

So,

Total number of books = 3 + 3 + 1 = 7

The student has to select 3 books

So, Total number of ways = $^{7} C_{3}$ = 35

So,

Probability that one of them is mathematics and other two are either physics or history books is -

= $\frac{^{3} C_{1}. ^{4} C_{2} }{^{7} C_{3}}$

= $\frac{(3)(6)}{35}$

= $\frac{18}{35}$

= 0.51

⇒Probability that one of them is mathematics and other two are either physics or history books = 0.51

8 0

2 years ago

Write p(x) = 21 + 24x + 6x2 in vertex form.

Citrus2011 [14]

ANSWER

$p(x)=-3+6(x+2)^2$

EXPLANATION

The given function is

$p(x)=21+24x+6x^2$

We make the coefficient of $x^2$ unity by factoring $6$ out of the last two terms to obtain;

$p(x)=21+6(4x+x^2)$

We now add and subtract half the coefficient of $x$ multiplied by a factor of 6 to obtain;

$p(x)=21-6(2)^2+6(2)^2+6(4x+x^2)$

We now factor 6 out of the last two terms to get;

$p(x)=21-6\times 4+6((2)^2+4x+x^2)$

$p(x)=21-24+6((2)^2+4x+x^2)$

The quadratic trinomial in the parenthesis is now a perfect square.

$p(x)=-3+6(x+2)^2$

Hence the vertex form of the polynomial is

$p(x)=6(x+2)^2-3$

8 0

3 years ago

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Kelly made six batches of cookies. Her friends asked her to make an extra batch. She used 17 1/4 cups of sugar and needs another

bixtya [17]

Answer:

18 1/8

Step-by-step explanation:

Just simple fraction addition.

17 1/4+ 7/8

Make common denominator

17 2/8+7/8

17 9/8 which is 18 1/8

4 0

3 years ago