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3 years ago

Write an equation to represent the proportional relationship between the # of Vegetable Plants (x) and the # of Flowers (y).

Mathematics

1 answer:

yawa3891 [41]3 years ago

6 0

Answer:

Proprortional Value is equal to 2/3 or 2:3

Step-by-step explanation:

4/6=2/3

6/9=2/3

8/12=2/3

10/15=2/3

14/21=2/3

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Need help use screenshot(SAT Prep) In △ABC, AB = BC = 20 and DE ≈ 9.28. Approximate BD. bd equals?

Lilit [14]

Answer:

5.36

Step-by-step explanation:

Given that:

<BAD = <CAE, therefore, BD = EC

Let's take x to be the length of BD = EC

BD + DE + EC = BC

BC = 20,

BD = EC = x

DE ≈ 9.28

Thus,

x + 9.28 + x = 20

x + x + 9.28 = 20

2x + 9.28 = 20

Subtract 9.28 from both sides

2x + 9.28 - 9.28 = 20 - 9.28

2x = 10.72

Divided both sides by 2 to solve for x

$\frac{2x}{2} = \frac{10.72}{2}$

$x = \frac{10.72}{2}$

$x = 5.36$

BD ≈ 5.36

4 0

4 years ago

A rectangular field is to be enclosed by a fence and divided

Phantasy [73]

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

5 0

3 years ago

Which of the following lines is parallel to line y=-1/2x-6

Tasya [4]

Whichever line has the same slope (-1/2) as this line is the answer

5 0

3 years ago

Please help!!!

Nonamiya [84]

Answer:

c. $2a^3x^4-3a^3x^3+a^4x^2$

d. $63x^5y^3-30x^2y^4-7x^3y^2$

Step-by-step explanation:

For this exercise you need to remember the following:

1. The multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-$

2. The Product of powers property, which states that:

$(a^m)(a^n)=a^{(m+n)}$

3. The Distributive property:

$a(b\±c)=ab\±ac$

Knowing that, you can solve the multiplication of the polynomials:

c. $(-2ax^2+3ax-a^2)(-a^2x^2)=\\\\=(-2ax^2)(-a^2x^2)+(3ax)(-a^2x^2)+(-a^2)(-a^2x^2)=2a^3x^4-3a^3x^3+a^4x^2$

d. $(6.3x^3y-3y^2-0.7x)(10x^2y^2)=\\\\=(6.3x^3y)(10x^2y^2)+(-3y^2)(10x^2y^2)+(-0.7x)(10x^2y^2)=63x^5y^3-30x^2y^4-7x^3y^2$

8 0

3 years ago

A government sample survey plans to measure the LDL (bad) cholesterol level of an SRS of men aged 20 to 34.

svet-max [94.6K]

Answer:

The sampling distribution of x is N(118, 2.5).

Step-by-step explanation:

We have that:

The mean of the population is $\mu = 118$

The standard deviation of the population is $\sigma = 25$ .

(a) Choose an SRS of 100 men from this population. What is the sampling distribution of x? (Use the units of mg/dL.)

The mean of the sampling distribution is the same as the mean of the population.

The standard deviation of the sampling distribution is the standard deviation of the population divided by the square root of the sample size. So

$s = \frac{25}{\sqrt{100}} = 2.5$

This means that the sampling distribution of x is N(118, 2.5).

7 0

4 years ago