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3 years ago

Which statements are true about a perfect cube monomial and its roots? Check all that apply.

Mathematics

2 answers:

GuDViN [60]3 years ago

7 0

Answer:

A E and F

Step-by-step explanation:

tangare [24]3 years ago

3 0

Answer:

A, D, F

Step-by-step explanation:

Just took the test

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Write the equation of the line perpendicular to y = 6/5x + 4/5 that passes through the point (-3,2).

avanturin [10]

Answer:

The equation of the perpendicular line of the given line is

$y = \frac{-5}{6} x -\frac{1}{2}$

Step-by-step explanation:

Step(i):-

Given the equation of the line

$y = \frac{6}{5} x + \frac{4}{5}$

cross-multiplication, we get

5y = 6x +4

The equation of the straight line is 6x - 5y +4=0

The equation of the perpendicular line to the given line is

b x - ay +k=0

The equation of the perpendicular line to the given line is -5x-6y +k=0

This line passes through the point (-3,2)

⇒ - 5(-3) -6(2)+k=0

⇒ 15 -12 +k=0

⇒ 3 +k=0

⇒ k =-3

Step(ii):-

The equation of the perpendicular line is

-5x-6y-3=0

5x + 6y +3 =0

6y = -5x-3

$y = \frac{-5}{6} x -\frac{3}{6}$

Final answer:-

The equation of the perpendicular line of the given line is

$y = \frac{-5}{6} x -\frac{1}{2}$

5 0

3 years ago

Jamal organizes an annual recycling drive to recycle cardboard. A recycling company pays him for the cardboard he collects. The

Naddika [18.5K]

Answer:

Step-by-step explanation:

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6 0

3 years ago

In recent years the mean number of miles driven per year by residents of a particular state was 11,568. A researcher wishes to t

aleksandrvk [35]

Answer:

The degrees of freedom are given by:

$df =n-1= 62 -1=61$

And we want to find a critical value on the t distribution with 61 degrees of freedom who accumulates 0.025 of the area on each tail and the critical value would be $t_{\alpha/2}= \pm 2.00$

And the rejection region would be $|t_{calc}| >2.00$

Step-by-step explanation:

Data given and notation

$\bar X=10822$ represent the sample mean

$s=1741$ represent the sample standard deviation

$n=62$ sample size

$\mu_o =11568$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean differs from 11568, the system of hypothesis would be:

Null hypothesis: $\mu =11568$

Alternative hypothesis: $\mu \neq 11568$

The degrees of freedom are given by:

$df =n-1= 62 -1=61$

And we want to find a critical value on the t distribution with 61 degrees of freedom who accumulates 0.025 of the area on each tail and the critical value would be $t_{\alpha/2}= \pm 2.00$

And the rejection region would be $|t_{calc}| >2.00$

8 0

3 years ago

Find the length of the diagonal, thanks. will get marked brainliest.

musickatia [10]

10x15= 150
150/2= 75
Diagonal = 75

3 0

2 years ago

Read 2 more answers

(8 pts)

Elan Coil [88]

Answer: