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2 years ago

Aaron has n pencils

Mathematics

1 answer:

galina1969 [7]2 years ago

6 0

Answer:

x=3n

Step-by-step explanation:

three times as many pencils as ben = 3n

not sure why chloe was included

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What is the equation of the line that is perpendicular to y, =, 1 over 3 x, 4. And contains the point negative 2, negative 5,?.

Anit [1.1K]

The equation of the line is, $\rm y = 3x + 1$ .

Given that,

The equation of the line is,

$\rm y = \dfrac{1}{3} x+4\\$

And contains the point (-2, -5).

We have to determine,

What is the equation of the line that is perpendicular to the given line?

According to the question,

The equation of the line is,

$\rm = \dfrac{1}{3}x + 4\\$

On comparing with the standard equation of the line y = mx +c.

The slope of the line $m_1$ is 1/3.

When two lines are perpendicular the relation between these slopes is,

$\rm m_1\times m_1 = {-1}\\\\\dfrac{-1}{3} \times m_2 = -1\\\\-1 \times m_2 = -1 \times 3\\\\-m_2 = -3\\\\m_2 = 3$

And line contains the point (-2, -5).

Then,

$\rm y = mx +c \\\\-5 = 3 (-2) + c\\\\-5 = -6+c \\\\c = 6-5 \\\\c = 1$

Therefore,

The equation of the line that is perpendicular to the given line and contains the point (-2, -5) is,

$\rm y = mx +c \\\\y = 3x +1$

Hence, The required equation of the line is, $\rm y = 3x + 1$ .

For more details refer to the link given below.

brainly.com/question/14388443

7 0

2 years ago

______To test the efficacy of vitamin C in preventing colds, army recruits are randomly assigned to one of two groups: one in wh

kipiarov [429]

Answer:

This type of study design is

Clinical Trial

Step-by-step explanation:

It is clinical trial because in this study design a treatment is given to the individuals and then we observe this treatment. In this experiment, we are studying the effects by giving 500 mg of Vitamin and Placebo to the soldiers.

It is not a cross-sectional study because this type of study is used to analyze characteristic of the population depending upon data but this study is not used for disease.
It is also not a case-control study as well as prospective cohort study because case-control study is used to observe the new cases of a disease while prospective cohort study is used for determining risks or exposure factors of a disease.
It is not a community trial as in which a community is under observation like a city or a country and it is also not a historical prospective cohort study because in this study type, we observe the cohorts (similar objects) with the different qualities. They are studied on the basis of these qualities.

8 0

2 years ago

Read 2 more answers

Given f(x) = 2x^2 - 5x, determine the value of f(4).

jeyben [28]

Answer:

Step-by-step explanation:

f(x) = 2x^2 - 5x

Let x=4

f(4) = 2 (4)^2 -5(4)

Exponents first

= 2*16 -5*4

Multiply

=32 -20

subtract

=12

5 0

2 years ago

What is 1/4×2/5÷1/3 as a fraction<br> please help

Vikki [24]

Answer:

3/10

Step-by-step explanation:

Please give brainliest!

hope this helps :)

the first step is to multiply 1/4 and 2/5

1/4 times 2/5 = 2/20

you figure this out by multiplying the numerators and denominators.

next, we solve 2/20 ÷ 1/3

we do this by taking the reciprocal of 1/3, which is 3/1, and then multiplying the fractions

2/20 times 3/1 = 6/20

6/20 = 3/10

4 0

1 year ago

Solve the triangle.

vova2212 [387]

9514 1404 393

Answer:

b = 71 m

A = 83°

C = 29°

Step-by-step explanation:

Many calculators can solve triangles. Apps are available for phone and tablet, or on the internet, like the one used here. In general, it takes less time to use one of these than to type your question into Brainly.

Given two sides and the angle between them, the Law of Cosines is the appropriate relation to use for finding the third side.

b = √(a² +c² -2ac·cos(B))

b = √(76² +37² -2·76·37·cos(67.75°)) ≈ √5015.48

b ≈ 70.82005 ≈ 71 . . . meters

One a side and its opposite angle are known, the remaining angles are found using the Law of Sines.

sin(A)/a = sin(B)/b

A = arcsin(a·sin(B)/b) = arcsin(76·sin(67.75°)/70.82005) ≈ 83.33°

A ≈ 83°

C = arcsin(37·sin(67.75°)/70.82005) ≈ 28.92°

C ≈ 29°

Or, you can find the remaining angle from 180° -68° -83° = 29°.

3 0

2 years ago