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LuckyWell [14K]
3 years ago
12

What is the equation of a line passing through the point (1,2) and parallel to the line y=3x+2?

Mathematics
2 answers:
lubasha [3.4K]3 years ago
6 0

Answer:

y =x

Step-by-step explanation:

vova2212 [387]3 years ago
3 0
Y=3x-1 have a great day!!
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A survey was conducted by an independent price checking company to check an advertiser's claim that it had lower prices than its
Mama L [17]

Answer:

a) critical values ≈ -3.182 and 3.182  shows that there is difference in average prices

b)   H0 : μd = 0

    Ha : μd ≠ 0

Step-by-step explanation:

<u>a) Determine if there is any significant difference in the average prices </u>

using ∝ = 0.05

and  μ( advertiser ) - μ ( competitor ) = μd

test statistic ( t ) =  -3.011

df = 3

hence the critical values ( two tailed test ) =  -3.182 and 3.182. this shows that there is sufficient evidence to show that there is difference in the average prices

<u>b) state the hypothesis</u>

 H0 : μd = 0 ( null )

Alternate hypothesis : Ha : μd ≠ 0

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3 years ago
Answer the following questions in complete sentences.
Anna71 [15]
The answer for both of these would be a rectangle.

A rectangular prism has 6 faces, all of which are rectangles.  Slicing the prism parallel to any of the faces, whether they are end faces or bases, will result in a rectangular cross-section.
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3 years ago
In circle A, CD = 25 cm and KL = 25 cm. If m = 110° and m = (2x − 10)°, what is the value of x?
Alex777 [14]
X equals 60 because 2x60=120. and 120-10=110

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Find the length of MA<br> What is the area of triangle MNT?
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Read 2 more answers
Imaginá que tenés 125 dados cúbicos del mismo tamaño ¿Cuantos dados de altura tiene el cubo de mayor tamaño que podés armar apil
kumpel [21]

Answer:

(i) Debemos apilar 5 dados para construir el cubo de mayor tamaño.

(ii) Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.

Step-by-step explanation:

(i) Sabemos por la Geometría Euclídea del Espacio que un cubo es un sólido regular con 6 caras cuadradas y longitudes iguales. Cada dado tiene un volumen de 1 dado cúbico y 125 dados dan un volumen total de 125 dados cúbicos.

El volumen de un cubo está dado por la siguiente fórmula:

V = L^{3}

Donde:

L - Longitud de la arista, medida en dados.

V - Volumen del cubo, medido en dados cúbicos.

Ahora, necesitamos despejar la longitud de la arista para calcular la altura máxima posible:

L = \sqrt[3]{V}

Dado que V = 125\,dados^{3}, encontramos que la altura del cubo de mayor tamaño sería:

L =\sqrt[3]{125\,dados^{3}}

L = 5\,dados

Debemos apilar 5 dados para construir el cubo de mayor tamaño.

(ii) El área cuadrada formada por cubos está determinada por la siguiente fórmula:

A = L^{2}

Donde:

L - Longitud de arista, medida en dados.

A - Área, medida en dados cuadrados.

Puesto que la longitud de arista se basa en un conjunto discreto, esto es, el número de dados disponibles, debemos encontrar el valor máximo de L tal que no supere 125 y de un área entera. Es decir:

L \leq 125\,dados

Si cada cubo tiene un área de 1 dado cuadrado, entonces un cuadrado conformado por 125 dados tiene un área total de 125 dados cuadrados. Entonces:

L^{2}< 125\,dados^{2}

Esto nos lleva a decir que:

L < 11.180\,dados

Entonces, la longitud máxima del cuadrado con la mayor cantidad de cubos posible es de 11 dados. El número total requerido de cubos es el cuadrado de esa cifra, es decir:

n = (11\,dados)^{2}

n = 121\,dados

Se necesita 121 dados cuadrados para formar el cuadrado con la mayor cantidad de dados posibles, quedando 4 dados sobrantes.

4 0
3 years ago
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