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3 years ago

Provide a clear answer while explaining how to do each step to the question below:

1 answer:

7 0

$\bf ~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \sqrt[3]{8x^5y^7} \\\\[-0.35em] ~\dotfill\\\\ \sqrt[3]{8x^5y^7}\implies \sqrt[3]{2^3x^5y^7}\implies \left( 2^3x^5y^7 \right)^{\frac{1}{3}}\implies 2^{3\cdot \frac{1}{3}}x^{5\cdot \frac{1}{3}}y^{7\cdot \frac{1}{3}}\implies 2x^{\frac{5}{3}}y^{\frac{7}{3}}$

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I need help finishing RT. Please help. I do not know what to do. Any help will be appreciated:))

Advocard [28]

Answer:

RT = 86

Step-by-step explanation:

Here, we want to find the value of RT

looking at the given triangle, we can deduce that the smaller triangle SPQ is half the measure of the bigger triangle SRT

what this mean is that we have to multiply the dimensions on SPQ by 2 to get the equivalent dimensions of similar sides in SRT

Thus, we have it that;

2(15x -17) = 23x -6

30x - 34 = 23x -6

30x -23x = -6 + 34

7x = 28

x = 28/7

x = 4

So, we make a substitution

for RT;

23x-6

= 23(4) - 6 = 92-6 = 86

6 0

3 years ago

A student is factoring 18x + 6x. Find the students mistake and correct it. 18x + 6x = 6x(3)=18x

Fiesta28 [93]

The mistake made by student is 6x(3) = 18x

because 18x + 6x = (18+6) x = 24x

6 0

2 years ago

Which inequality is represented by the number line graph?

Grace [21]

D) I hope this answer helped :)

8 0

3 years ago

Read 2 more answers

whats the equation for the perpendicular bisector of the line segment whose endpoints are (-5,3) and (3,7)?

riadik2000 [5.3K]

Answer:

The equation of perpendicular bisector of the line segment passing through (-5,3) and (3,7) is: $y = -2x+3$

Step-by-step explanation:

Given points are:

(-5,3) and (3,7)

The perpendicular bisector of line segment formed by given points will pass through the mid-point of the line segment.

First of all we have to find the slope and mid-point of given line

Here

(x1,y1) = (-5,3)

(x2,y2) = (3,7)

The slope will be:

$m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{7-3}{3+5}\\m = \frac{4}{8}\\m = \frac{1}{2}$

The mid-point will be:

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\ = (\frac{-5+3}{2},\frac{3+7}{2})\\= (\frac{-2}{2},\frac{10}{2})\\=(-1,5)$

Let m1 be the slope of the perpendicular bisector

Then using, "Product of slopes of perpendicular lines is -1"

$m.m_1 = -1\\\frac{1}{2}.m_1 = -1\\m_1 = -1*2\\m_1 = -2$

We have to find the equation of a line with slope -2 and passing through (-1,5)

The slope-intercept form is given by:

$y = mx+b\\y = -2x+b$

Putting the point (-1,5) in the equation

$5 = -2(-1)+b\\5 = 2+b\\b = 5-2\\b = 3$

The final equation is:

$y = -2x+3$

Hence,

The equation of perpendicular bisector of the line segment passing through (-5,3) and (3,7) is: $y = -2x+3$

4 0

3 years ago

Laboratory experiment shows that the life of the average butterfly is normally distributed with a mean of 18.8 days and a standa

inessss [21]

Answer:

a) 0.4164

Step-by-step explanation:

Mean lifespan (μ) = 18.8 days

Standard deviation (σ) = 2 days

For any given lifespan 'X', the z-score is:

$z=\frac{X- \mu}{\sigma} \\z=\frac{X- 18.8}{2}$

For X=12.04 days:

$z=\frac{12.04 - 18.8}{2} \\z=-3.38$

A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.

For X=18.38 days:

$z=\frac{18.38 - 18.8}{2} \\z=-0.21$

A z-score of -3.38 falls in the 41.68th percentile of a normal distribution.

The probability that a butterfly lives between 12.04 and 18.38 days is

$P=41.68-0.036\\P=41.64\%\ or\ 0.4164$

6 0

3 years ago