Line M passes through points (4, 2) and (-7, 1) what is the slope of a line N that is parallel to line M

Answer: 24.2° SouthWest

Step-by-step explanation:

First step: DRAW A PICTURE of the vectors from head to tail (see image)

I created a perpendicular from the resultant vector to the vertex of the given vectors so I could use Pythagorean Theorem to find the length of the perpendicular. Then I used that value to find the angle of the plane.

Perpendicular (x):

 cos 35° = adjacent/hypotenuse

  cos 35° = x/160

→ x = 160 cos 35°

Angle (θ):

sin θ = opposite/hypotenuse

sin θ = x/320

sin θ = 160 cos 35°/320

    θ = arcsin (160 cos 35°/320)

    θ = 24.2°

Direction is down (south) and left (west)

Answer:

Below are the steps to take

Answer: 1% ?

Step-by-step explanation:

Answer:

That is a 25% increase

Step-by-step explanation:

Hope this helps!!

Answer:

2/21

Step-by-step explanation:

10 1/2=21/2 and then flip it

Answer:

Yes, y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship and the constant of proportionality is [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

The Proportional is a relationship between two quantity one of them equals the product of the other and a constant, where this constant called the constant of proportionality

Let us solve the question

∵ y = [tex]\frac{1}{5}[/tex] x

→ It the same as the form of the proportional equation above

∵  [tex]\frac{1}{5}[/tex]  is a constant

∴ y is the product of x and constant

∴ y =  [tex]\frac{1}{5}[/tex] x represents a proportional relationship

Substitute x by 0 to find y and show it represented by a line passing through the origin

∵ x = 0

∴ y = [tex]\frac{1}{5}[/tex] (0) = 0

→ That means point (0, 0) lies on the line which represents the equation

∴ The line which represents this relation is passing through the origin

∴ y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship

∵ y = kx, k is the constant of proportionality

∵ y = [tex]\frac{1}{5}[/tex] x

∴ k =  [tex]\frac{1}{5}[/tex]

∴ The constant of proportionality is [tex]\frac{1}{5}[/tex]

Answer:2182

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Hope this helps!!

Answer:

0.49

Step-by-step explanation:

The repeating decimal equivalent would be 0.44, and round it to 0.49

Answer:

2/3

Step-by-step explanation:

4/6 * 100% = 66.66% = 2/3

B.

Explanation:

1.5+1.5=3+1.5= 4.5+1.5= 6

(How much 1.5 is there?) (1.5=1 1/2 btw)

Answer: length = 4.5 m, width = 3 m

Step-by-step explanation:

When a shape is enlarged using a scale factor, you simply multiply each of the sides by the scale factor.

length = 3 * 1.5 = 4.5 m

width = 2 * 1.5 = 3 m

Answer:

x[tex]\leq[/tex]30

Step-by-step explanation:

X can be many possiblities

So we can write it out with a smaller than sign and an equal sign

So now it means that x has to be smaller than 30 or equal to 30

Answer: A

Step-by-step explanation:

It wants you to make it an in improper fraction

Answer:

252

Step-by-step explanation:

252-

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just copy and paste its not hard pls this could save someones life

Given:

4 groups of ___ tenths is 1.6.

To find:

The value for the blank.

Solution:

Let the unknown value be x.

4 groups of x tenths is 1.6.

[tex]4x=1.6[/tex]

Divide both sides by 4.

[tex]\dfrac{4x}{4}=\dfrac{1.6}{4}[/tex]

[tex]x=0.4[/tex]

So, 4 groups of 0.4 tenths is 1.6.

Therefore, the required answer for the blank is 0.4.

Answer:116.25

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

Answer:

The experiment design used in this case is the between-subjected design.

Step-by-step explanation:

Between-subject design is a sort of experimental design where the individuals of an experiment are allocated to varied situations, with each individual being treated with only one of the experimental conditions.

In this case three similar ecosystems are designed containing a variety of insects and plants. Then each ecosystem to be exposed to rock music, country music, or a conventional city soundscape for two consecutive weeks.

Then after two weeks period they measured how successful the species were in each ecosystem.

The experiment design used in this case is the between-subjected design.

Answer:

A completely randomized design

Step-by-step explanation:

The 3 ecosystems were each randomly assigned a treatment. They were not grouped in any way with random assignment happening within each group, so this is a completely randomized design. (From Kahn)

Answer:

D

Step-by-step explanation:

The completely factored form is 6x² (3x - 4) (x - 1).

Option D is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

18[tex]x^4[/tex]– 42x³ + 24x²

Now,

The common factor of 18, 42, and 24 is 6.

And x² is common to all the terms.

So,

6x² (3x²– 7x + 4) _____(1)

Now,

(3x²– 7x + 4)

3x² - (4 + 3)x + 4

3x² - 4x - 3x + 4

x(3x - 4) - 1(3x - 4)

(3x - 4) (x - 1) ______(2)

Now,

From (1) and (2) we get,

6x² (3x - 4) (x - 1)

Thus,

6x² (3x - 4) (x - 1) is the completely factored form.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Answer: w = 11

Step-by-step explanation: 5x2.2=11 so 11/2.2=5.

Answer:

11

Step-by-step explanation:

khan said so

Answer:

The  probability is  [tex]P(0.35 <X < 0.55) = 0.9921772[/tex]

Step-by-step explanation:

From the question we are told that

  The sample size is  n =  175

   The population proportion is  p =  0.45

Generally the mean of the sampling distribution is  [tex]\mu_{x} = 0.45[/tex]

 Generally the standard deviation is mathematically represented as  

        [tex]\sigma_{x} = \sqrt{\frac{p (1-p)}{n} }[/tex]

=>      [tex]\sigma_{x} = \sqrt{\frac{0.45 (1-0.45)}{175} }[/tex]

=>      [tex]\sigma_{x} = 0.0376[/tex]

Generally the probability of  that the sample proportion of orange candies will be between 0.35 and  0.55 is  

      [tex]P(0.35 < X < 0.55) = P( \frac{0.35 - 0.45}{0.0376} < \frac{X -\mu_{x}}{\sigma_{x}} < \frac{0.55 - 0.45}{0.0376} )[/tex]

=>   [tex]P(0.35 <X < 0.55) = P( -2.696 < \frac{X -\mu_{x}}{\sigma_{x}} < 2.6595 )[/tex]

Generally [tex]\frac{X - \mu_{x}}{\sigma_{x}} = Z (The \ standardized \ value \ of X)[/tex]

So

    [tex]P(0.35 <X < 0.55) = P( -2.6596 < Z< 2.6595 )[/tex]

=>  [tex]P(0.35 <X < 0.55) =P( Z< 2.6595 ) - P( Z < -2.6596 )[/tex]

From the z-table  

    [tex]P( Z< 2.6595 ) = 0.99609[/tex]

and

    [tex]P( Z< - 2.6595 ) = 0.0039128[/tex]

So

   [tex]P(0.35 <X < 0.55) =0.99609 - 0.0039128[/tex]

=> [tex]P(0.35 <X < 0.55) = 0.9921772[/tex]

Answer:

[tex]yes \: \\ PRIME \: AND \: CO-PRIME \: NUMBERS \: are \: the \: SAME [/tex]

Answer:

i will explain it to you

Step-by-step explanation:

Answer:

Es el lunes, 7 de febrero.

Step-by-step explanation: i took the test and got it right

Answer:

the answer is B this other guy messed up his math trust me i know it's right

Step-by-step explanation:

if you add up all the numbers it equals 27 squar units