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3 years ago

Suppose y varies directly with x and y=12 when x=-3 what is the value of y when x=6?

Mathematics

1 answer:

coldgirl [10]3 years ago

7 0

Answer:

A. -24

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a directly or proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In this problem we have

For x=-3, y=12

Find the value of the constant of proportionality k

$k=\frac{y}{x}$

substitute the given values

$k=\frac{12}{-3}=-4$

The linear equation is equal to

$y=-4x$

what is the value of y when x=6?

substitute the value of x in the linear equation and solve for y

$y=-4(6)=-24$

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Flight 202's arrival time is normally distributed with a mean arrival time of 6:30 p.m. and a standard deviation of 15 minutes.

natta225 [31]

Answer:

The probability is 0.0015

Step-by-step explanation:

We know that the mean $\mu$ is:

$\mu=6:30\ p.m$

The standard deviation $\sigma$ is:

$\sigma=0:15\ minutes$

The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

We seek to find

$P(x>7:15\ p.m.)$

The Z-score is:

$Z=\frac{x-\mu}{\sigma}$

$Z=\frac{7:15-6:30}{0:15}$

$Z=\frac{0:45}{0:15}$

$Z=3$

The score of Z = 3 means that 7:15 p.m. is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

$P(x>7:15\ p.m.)=P(Z>3)=0.0015$

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3 years ago

chris wants to put up a fence around his sqaure garden the garden measures 3 feet on each side .how much fencing matirial does h

RoseWind [281]

3 x 4 = 12 feet of fencing

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3 years ago

There are a total of 15 bicycles and tricycles.There are 37 wheels all together if we count them up. How many tricycles and how

m_a_m_a [10]

Answer: there are eight bicycles and 7 tricycles.

Step-by-step explanation:

Let x represent the number of bicycles that are there.

Let y represent the number of tricycles that are there.

There are a total of 15 bicycles and tricycles. This means that

x + y = 15

A bicycle has 2 wheels and a tricycle has 3 wheels. There are 37 wheels all together if we count them up. This means that

2x + 3y = 37- - - - - - - - - - - - - 1

Substituting x = 15 - y into equation 1, it becomes

2(15 - y) + 3y = 37

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3 years ago

The point P(8, 6) is on the terminal side of θ. Evaluate sin θ.

vladimir2022 [97]

Ok so let me help you with this. Here is the procedure:
r² = x² + y² = 8² + 6² = 100
r = 10
x = r cosθ
y = r sinθ
sinθ = y/r = 6/10 = 3/5
Hope this is what you are looking for

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3 years ago

Read 2 more answers

Please help me with this translating trigonometry graphs question. Brainliest and Points Available.

andreev551 [17]

According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.

<h3>How to apply translations on a given function</h3>

Rigid transformations are transformation such that the Euclidean distance of every point of a function is conserved. Translations are a kind of rigid transformations and there are two basic forms of translations:

Horizontal translation

g(x) = f(x - k), k ∈ $\mathbb {R}$ (1)

Where the translation goes rightwards for k > 0.

Vertical translation

g(x) = f(x) + k, k ∈ $\mathbb {R}$ (2)

Where the translation goes upwards for k > 0.

According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.

To learn more on translations: brainly.com/question/17485121

#SPJ1

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2 years ago