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arlik [135]
3 years ago
11

Simplify the expression

Mathematics
2 answers:
yan [13]3 years ago
8 0

cube root of 8 is 2

factors of 24= 2*2*2*3

cube root of 24 = 2∛3

Under cube root we have x and x⁵

so multiplying , x*x⁵ we have x⁶

∛x⁶ = x²

so we have ∛8x * ∛24x⁵ equal to 2*2*x²∛3

so answer is 4x² ∛3

option C is the correct answer

kvv77 [185]3 years ago
6 0

option C is the correct answer

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<img src="https://tex.z-dn.net/?f=%20%7B40a%7D%5E%7B2%7D%20%20%2B%2020a%20-%2030%20%3D%20%28%20-%201%29%28%20%20%7B15a%7D%5E%7B3
KonstantinChe [14]

\bf 40a^2+20a-30=(-1)(15a^3+30)\implies 40a^2+20a~~\begin{matrix} -30 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~=-15a^3~~\begin{matrix} -30 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} \\\\\\ 40a^2+20a=-15a^3\implies 15a^3+40a^2+20a=0\implies 5a(3a^2+8a+4)=0 \\\\\\ 5a(3a+2)(a+2)=0\implies a= \begin{cases} 0\\ -\frac{2}{3}\\ -2 \end{cases}

7 0
3 years ago
A poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ag
Katyanochek1 [597]

Answer:

At 5% significance level, it is statistically evident that    there is nodifference in the proportion of college students who consider themselves overweight between the two poll                                  

Step-by-step explanation:

Given that a poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ago.

Let five years ago be group I X and as of now be group II Y

H_0: p_x =p_y\\H_a: p_x \neq p_y

(Two tailed test at 5% level of significance)

                Group I            Group II              combined p

n                  270                 300                         570

favor            120                  140                          260

p                   0.4444            0.4667                   0.4561

Std error   for differene = \sqrt{\frac{0.4561(1-0.4561)}{570} } \\=0.0209

p difference = -0.0223    

Z statistic = p diff/std error =       -1.066

p value =0.2864

Since p value >0.05, we accept null hypothesis.

        At 5% significance level, it is statistically evident that    there is nodifference in the proportion of college students who consider themselves overweight between the two poll                                  

7 0
3 years ago
Simplfy 7a - 2b - 5a + 7b
ivolga24 [154]

Answer:

2a+5b

Step-by-step explanation:

7a-5a =2a

-2b+7b = 5b

3 0
3 years ago
The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.
Karolina [17]

Answer:

0.685 = 68.5% probability that X is less than 30 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

If X has an average value of 26 minutes

This means that m = 26, \mu = \frac{1}{26}

What is the probability that X is less than 30 minutes?

P(X \leq 30) = 1 - e^{-\frac{30}{26}} = 0.685

0.685 = 68.5% probability that X is less than 30 minutes

8 0
3 years ago
Please help me if you can
MA_775_DIABLO [31]

Answer:

y = .025x +20

The y intercept is the value when x = o, or the starting value.  In this case, it is the temperature in degrees F at a depth of 0 meters.

Step-by-step explanation:

We have a point a (0,20) and a point at (2 , 20.05)

We can find the slope from

m = (y2-y1)/(x2-x1)

   = (20.05-20)/(2-0)

   = .05/2

     =.025

One of the points (0,20) is the y intercept  since x=0

We can use the slope intercept form of the equation

y= mx+b

y = .025x +20


The y intercept is the value when x = o, or the starting value.  In this case, it is the temperature in degrees F at a depth of 0 meters.

3 0
3 years ago
Read 2 more answers
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