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3 years ago

Which answer gives the correct inequality for the following number line?

Mathematics

1 answer:

rodikova [14]3 years ago

4 0

Answer:

n < -2

Step-by-step explanation:

Numbers to the left from -2

Set of numbers:

(- oo, -2)

The inequality for the given line:

n < -2

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-5 5/6-(-2 1/3)+5 1/6

Umnica [9.8K]

Answer: 1.66666666667

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2 years ago

100 POINTS!! Express in radical form.

Vilka [71]

Answer:

27 4th root (x^3)

Step-by-step explanation:

(81x) ^ 3/4

We know (ab) ^c = a^c b^c

81 ^ (3/4) * x^3/4

We can rewrite 81 as 3^4

(3^4)^(3/4) * x^3/4

We know that a^b^c = a^ (b*c)

3^(4*3/4) * x^3/4

3^(3) * x^3/4

27 * x^3/4

27 4th root (x^3)

3 0

3 years ago

Read 2 more answers

)) Irene made 4 stacks of wooden blocks. The first stack was 4 blocks tall. The second

Romashka [77]

Answer:

I am pretty sure the answer is 30 blocks :)

4 + 11 + 6 + 9 = 30 blocks

6 0

3 years ago

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Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively. Pl

kicyunya [14]

Hello,

$u_{0} =a\\
 u_{1} =a*r\\
 u_{2} =a*r^{2}=-6\\
 u_{3} =a*r^{3}\\
 u_{4} =a*r^{4}\\
 u_{5} =a*r^{5}=162\\
....\\
\boxed{ u_{n} =a*r^{n}} \\

\dfrac{ 162}{-6} = \dfrac{ u_{5} }{ u_{3}} = \dfrac{ a*r^{5}}{ a*r^{2}} =r^3= -27\\
==\ \textgreater \ r=-3\\

 u_{2} =a*r^{2}=-6=a*(-3)^2 \ ==\ \textgreater \ a=-\frac{6}{9} =-\frac{2}{3}\\


\boxed{ u_{n} =-\frac{2}{3}*(-3)^{n}=(-1)^{n+1}*2*3^{n-1}} \\

$

8 0

3 years ago

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A quadrilateral PQRS is translated to the left by 4 units to obtain another quadrilateral P᾿Q᾿R᾿S᾿

IrinaVladis [17]

Answer:

the length of PQ is equal to the length of P'Q'

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Translation is the movement of a point either up, down, right or left. Translation is a type of rigid transformation. Rigid transformation is a transformation in which both the image and pre-image have the same shape and size. types of rigid transformation are rotation, reflection and translation.

Quadrilateral PQRS is translated to the left by 4 units to obtain another quadrilateral P᾿Q᾿R᾿S᾿. Since translation is a rigid transformation, the shape and size of PQRS is the same as that of P'Q'R'S. Hence the length of PQ is equal to the length of P'Q'.

8 0

3 years ago