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N76 [4]
3 years ago
11

Simplify the following expression completely, where x is greater than or equal too 0.

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
7 0
First you want the numbers under the radical to be the same so you can combine like terms.

x \sqrt{5xy^4} =x \sqrt{5x*^4y} = xy^2 \sqrt{5x}
\sqrt{405x^3y^4} =  \sqrt{5x*81x^2y^4} =9xy^2 \sqrt{5x}
\sqrt{80x^3y^4} =  \sqrt{5x*16x^2y^4} = 4xy^2 \sqrt{5x}

Now add together to get 14xy^2 \sqrt{5x}
svetlana [45]3 years ago
3 0

Answer:

the second one

6xy²√5x


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F(x)=2-3x I need help with this please
Fynjy0 [20]

Answer:

F= 0.5

Step-by-step explanation:

5 0
3 years ago
A sample of 15 commuters in Chicago showed the average of the commuting times was 33.2 minutes. If s = 8.3 minutes, find the 95%
OleMash [197]

Answer:

The 95% confidence interval of the true mean.

(29.4261 ,36.9739)

Step-by-step explanation:

<u>Step :- (i)</u>

Given sample size 'n' =15

sample of the mean x⁻ = 33.2

The standard deviation of the sample 'S' = 8.3

<u>95% of confidence intervals</u>

<u></u>(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } ,x^{-} + t_{\alpha }\frac{S}{\sqrt{n} } )<u></u>

<u>Step:-(ii)</u>

<u>The degrees of freedom γ=n-1 = 15-1=14</u>

The tabulated value t = 1.761 at 0.05 level of significance.

now substitute all possible values, we get

(33.2 - 1.761\frac{8.3}{\sqrt{15} } ,33.2+ 1.761\frac{8}{\sqrt{15} } )

After calculation , we get

(33.2-3.7739 , 33.2+3.7739

(29.4261 ,36.9739)

<u>Conclusion</u>:-

the 95% confidence interval of the true mean.

(29.4261 ,36.9739)

8 0
3 years ago
What four consecutive intergers have a sum of -34
Ivenika [448]

Answer:

-7, -8 , -9 and -10 are such four integers.

Step-by-step explanation:

Let the first integer = k

So, the next three consecutive integers are ( k+1), ((k + 1) + 1)  and (((k + 1) + 1) +1)

or, k , (k +1), (k +2) and (k +3) are four consecutive integers.

Now, their sum is -34.

⇒k   + (k +1) +  (k +2) +  (k +3)  = -34

or, 4k  + 6 = -34

or, 4k = - 34 - 6 = -40

⇒  k = -40/ 4 = -10

Hence, the first integer k = -10

The next integer = k + 1 = -10 + 1 = -9

Similarly next two integers are -8 and - 7.

So -7, -8 , -9 and -10 are such four integers.

7 0
3 years ago
What is 4 3/7 as a decimal.
Ymorist [56]
4.428571
I know because I googled it
4 0
3 years ago
Max points :)) 33 please help no explanation needed..
Xelga [282]
5(2y-4) - 3y = 1. 10y-20-3y=1. 7y-20=1. 7y=21. y =3. x = 2(3)-4. x = 2. x*y =6.
3 0
3 years ago
Read 2 more answers
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