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yawa3891 [41]
3 years ago
9

Which of the following cannot be simplified ?

Mathematics
2 answers:
svp [43]3 years ago
5 0
The square root of 38
frozen [14]3 years ago
3 0

Answer:

27

Step-by-step explanation:

27 because if you try it it givess you a bunch of numbers nstead of just a few numbers .

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Can someone explain this to me.
almond37 [142]

Answer:

option D

3*(\sqrt{x}+\sqrt{x-3})

Step-by-step explanation:

Given in the question an expression,

\frac{9}{\sqrt{x} -\sqrt{x-3}}

Step 1

Divide and multiple by \sqrt{x}+\sqrt{x-3} to remove radical sign from denominator.

\frac{9}{\sqrt{x} -\sqrt{x-3}}*\frac{\sqrt{x} +\sqrt{x-3}}{\sqrt{x} +\sqrt{x-3}}

Step 2

Apply a² - b² = (a+b)(a-b)

\frac{9*\sqrt{x}+\sqrt{x-3}}{\sqrt{x^{2}}-\sqrt{(x-3)^{2}}}}

Step 3

\frac{9*\sqrt{x}+\sqrt{x-3}}{x-x+3}

Step 4

\frac{9*\sqrt{x}+\sqrt{x-3}}{3}

Step 5

3*(\sqrt{x}+\sqrt{x-3})

7 0
3 years ago
The sum of 4 consecutive even numbers is 36. What is the first number in this sequence?
sashaice [31]

Answer:

the first number in this sequence is 6....

Step-by-step explanation:

First number = x

2nd number = x+2

3rd consecutive even number = x+4

4th consecutive even number = x+6

Therefore,

By adding these numbers:

x+x+2+x+4+x+6= 36

Add the like terms:

4x+12=36

Combine the constants:

4x=36-12

4x=24

Divide both the terms by 4

4x/4 = 24/4

x= 6

Thus the first number in this sequence is 6....

7 0
3 years ago
Read 2 more answers
Many elementary school students in a school district currently have ear infections. A random sample of children in two different
Marta_Voda [28]

Answer:

Step-by-step explanation:

The summary of the given data includes;

sample size for the first school n_1 = 42

sample size for the second school n_2  = 34

so 16 out of 42 i.e x_1 = 16 and 18 out of 34 i.e x_2 = 18 have ear infection.

the proportion of students with ear infection Is as follows:

\hat p_1 = \dfrac{16}{42} = 0.38095

\hat p_2 = \dfrac{18}{34}  =  0.5294

Since this is a two tailed test , the null and the alternative hypothesis can be computed as :

H_0 :p_1 -p_2 = 0 \\ \\ H_1 : p_1 - p_2 \neq 0

level of significance ∝ = 0.05,

Using the table of standard normal distribution, the value of z that corresponds to the two-tailed probability 0.05 is 1.96. Thus, we will reject the null hypothesis if the value of the test statistics is less than -1.96 or more than 1.96.

The test statistics for the difference in proportion can be achieved by using a pooled sample proportion.

\bar p = \dfrac{x_1 +x_2}{n_1 +n_2}

\bar p = \dfrac{16 +18}{42 +34}

\bar p = \dfrac{34}{76}

\bar p = 0.447368

\bar p + \bar  q = 1 \\ \\ \bar q = 1 -\bar  p \\  \\\bar q = 1 - 0.447368 \\ \\\bar q = 0.552632

The pooled standard error can be computed by using the formula:

S.E = \sqrt{ \dfrac{ \bar p \bar q}{ n_1} +  \dfrac{\bar p \bar p}{n_2} }

S.E = \sqrt{ \dfrac{  0.447368 *  0.552632}{ 42} +  \dfrac{ 0.447368 *  0.447368}{34} }

S.E = \sqrt{ \dfrac{  0.2472298726}{ 42} +  \dfrac{ 0.2001381274}{34} }

S.E = \sqrt{ 0.01177284105}

S.E = 0.1085

The test statistics is ;

z = \dfrac{\hat p_1 - \hat p_2}{S.E}

z = \dfrac{0.38095- 0.5294}{0.1085}

z = \dfrac{-0.14845}{0.1085}

z = - 1.368

Decision Rule: Since the test statistics is greater than the rejection region - 1.96 , we fail to reject the null hypothesis.

Conclusion: There is insufficient evidence to support the claim that a difference exists between the proportions of students who have ear infections at the two schools

5 0
3 years ago
Help me and don't put wrong answer. 30 points.
vovangra [49]

Answer:

I believe this is a METAPHOR cause you cant really throw your voice as rope.

4 0
3 years ago
Read 2 more answers
Alina has 15x + 12 yards of ribbon. She uses 6x - 3 yards for a project. How many yards does she have left?
Andrews [41]

Answer:

-1.66666666667 yards

Step-by-step explanation:

15x+12=6x-3

subtract 6x on both sides

9x+12=-3

subtract 12 on both sides

9x=-15

x=-1.6666666666667

8 0
3 years ago
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