Let f be the function given by f(x) = 2x +3x^2 Evaluate (1/3)​

The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The ratios between the output and the inputs are given as follows:

Different ratios, hence the relationship is not proportional.

A similar problem, also featuring proportional relationships, is presented at https://brainly.com/question/7723640

#SPJ1

Answer:

9

Step-by-step explanation:

6/(2/3)

= 9

Answer: q=13

Step-by-step explanation:

add the separate the q, add 4 to the 9= 13

13=q

The following weights (in pounds) are within 1.5 units of the standard deviation of the mean:

A. 4.4

B. 4.6

D. 5.2

E. 6.9

F. 7.6

The mean weight of the chickens in this population is 6.3 pounds, and the standard deviation is 1.2 pounds. To be within 1.5 units of the standard deviation, we need to look at the range of weights that are 1.2 +/- 1.5, which is 4.7 to 7.9 pounds.

This means that the weights within this range are 4.4, 4.6, 5.2, 6.9, 7.6, and any other weights that fall within the range. Therefore, the weights within 1.5 units of the standard deviation of the mean are:

A. 4.4, B. 4.6, D. 5.2, E. 6.9, and F. 7.6.

The standard deviation measures the spread of the data from the mean. In this case, the mean is 6.3 pounds and the standard deviation is 1.2 pounds. This means that the data points on either side of the mean will be 1.2 pounds away from it.

To learn more about standard deviation of the mean, use the link:

brainly.com/question/16030790

#SPJ4

The time that it will take each drain, working alone, to empty the tank include 24 minutes and 8 minutes respectively.

Based on the information, the tank has two drains one drain takes 16 minutes longer to empty the tank then does a second drain. In this case, let the rate for the second drain be represented as 1/t.

It should be noted that the rate of work will be 1/t + 16.

It should be noted that the sum of all parts must be equal to 1. This will be:

6 / t + 16 + 6/t = 1

Solving the equation will be:

t² + 4t - 96 = 0

(t - 8)(t + 12) = 0

t = 0 + 8 = 8

The second drain will take 8 minutes working alone

The tile that the first drain will use will be:

= t + 16

= 8 + 16

= 24

As a result, it will take each drain, operating alone, 24 and 8 minutes, respectively, to empty the tank.

Learn more about time on:

brainly.com/question/26314009

#SPJ1

Answer:

11 is greater than -13

Step-by-step explanation:

because -13 is a negative number

Answer:

62.5

Step-by-step explanation:

37.5+62.5=90 a complementary angle

Answer:

x = 2

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

P will equal zero when the numerator is equal to zero , that is

x - 2 = 0 ( add 2 to both sides )

x = 2

P = 0 when x = 2

The values of the angles x, y are x=60°, y=85°

In Euclidean geometry, an angle is a figure made up of two rays that have a shared vertex, also known as a common terminus, and are referred to as the angle's sides. The angles of two rays are situated in the plane containing the rays. An angle is also created when two planes intersect at an angle. These are referred to as dihedral angles. Another technique to define two curves is to specify the angle generated by rays that are tangent to the intersection of two curves. Angle is another word for how long a rotation or angle is.

Let 2x°, x°

Supplementary angles are

2x°+x°=180°

3x°=180°

x=60°

And y°, (y+10°) are

Supplementary angles are

y°+y+10°=180°

2y+10°=180°

2y=170°

y=85°

Therefore, The values of the angles x, y are x=60° and y=85°.

To know more about angle, visit:

https://brainly.com/question/28451077

#SPJ1

Answer:

y = mx + c

-2 = 10(8) + c

-2 = 80 + c

c = - 82

y = 10x - 82

Answer:

AAA

Step-by-step explanation:

The answer is AAA because the other choices are all triangle congruence properties. However, AAA is not a triangle congruence property, hence, it is the odd one out. SSS stands for Side - Side - Side, AAA stands for Angle - Angle - Angle, RHS stands for Right Angle - Hypotenuse - Side and SAS stands for Side - Angle - Side.

Answer:

Simplifying

y = 2mx + -7b

Reorder the terms:

y = -7b + 2mx

Solving

y = -7b + 2mx

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying

y = -7b + 2mx

Step-by-step explanation:

Is this the answer??

To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.

We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.

The z-score formula is:

z = (x - μ) / σ

Where:

x = value (62 seconds)

μ = mean (61 seconds)

σ = standard deviation (1.5 seconds)

Calculating the z-score:

z = (62 - 61) / 1.5

z ≈ 0.6667

Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.

Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.

To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:

Number of trials = Proportion * Total number of trials

Number of trials = 0.7461 * 39

Number of trials ≈ 29.08

Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.

#SPJ1

9514 1404 393

Answer:

  1414 cm³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

For a radius of 5 cm and a height of 8 cm, the volume is ...

  V = π(5 cm)²(18 cm) = 450π cm³ ≈ 1414 cm³

The volume of Nadia's sugar container is about 1414 cm³.

_____

Additional comment

The value will be 1413 cm³ if you use 3.14 for π.

A quadratic equation, or second-order polynomial equation with a single variable, has the form ax^2 + bx + c = 0. The solution to the given equation is v = 7, -5 and 3

The form ax^2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Given the quadratic expression below:

(v-7)(v+5)(v-3)=0

Required

The solution to the system of equation

Equate each expression to zero calculate the value of 'v' as shown:

v - 7 = 0

v = 0 + 7

v = 7

Also, v + 5 = 0

v = 0 - 5

v = -5

Similarly, v - 3 = 0

v = 0 + 3

v = 3

Hence the solution to the given equation is v = 7, -5 and 3

Learn more on quadratic equation here; https://brainly.com/question/1214333

#SPJ1

Answer:

y = 1/2x + 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

When 2 lines are parallel, they have the same slope.

Step 1: Define variables

Random point (2, 6)

m = 1/2

y = 1/2x + b

Step 2: Find b

6 = 1/2(2) + b

6 = 1 + b

5 = b

Step 3: Rewrite parallel linear equation

y = 1/2x + 5

Answer:

sin(3x) = sin(x + 2x)

          = sinx cos(2x) + cosx sin(2x)

          = sinx [1 - 2sin2x] + cosx [2sinxcosx]

          = sinx - 2sin3x + 2cos2xsinx

The equation for a transformed cosine wave with the following properties is  y = 3cos2x + 4

An equation for a transformed cosine wave with the following properties can be written in the form:

y = A× cos(B(x - C)) + D

Where:

A = amplitude (positive value)

C = phase shift (horizontal shift of the wave)

D = vertical shift (shift of the wave up or down)

Here we have

Amplitude = 3

Period = π

Horizontal shift = None

Vertical shift  = 4 units  up  

As we know Period P = 2π/B

From the data => 2π/B = π

=> B = 2  

Hence,

Equation for a transformed cosine wave, y = 3 × cos(2(x - 0)) + 4

=> y = 3 × cos(2(x )) + 4

=> y = 3cos2x + 4  

Therefore,

The equation for a transformed cosine wave with the following properties is  y = 3cos2x + 4

Learn more about Transformed cosine waves at

https://brainly.com/question/17106395

#SPJ1

Option D is the correct answer.

From the graph, we can conclude that,

1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.

2. The points on the lines of the shaded region are also included in the solution.

The only option that matches with the above conditions is option D. So, option D is the correct answer.

Let us verify it.

Now, let us consider a point that is inside the shaded region and also on any one line.

Let us take (0, 2).

Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.

Considering the inequalities,

y ≥ 3x - 2

x + 2y ≤ 4

Solving we get,

2 ≥ 3(0) - 2

2 ≥ -2

x + 2y ≤ 4

0 + 2(2) ≤ 4

4 ≤ 4

Here, both inequalities are correct.

So, option D is the correct answer.

Learn more about inequality click

https://brainly.com/question/20383699

#SPJ1

The complete question is =

Which system of linear inequalities is graphed?

A. y < 3x-2

x + 2y ≥ 4

B. y < 3x - 2

x + 2y > 4

C. y > 3x - 2

x + 2y < 4

D. y ≥ 3x - 2

x + 2y ≤ 4

Step-by-step explanation:

Create two arcs on the original line.

Place the compass on two points on the original line, one after another for marking a point.

make a line from the original point on the line to the marked point (MP)

the sketch as attached

For making a perpendicular line through a point open the compass to a radius that is less than half of the segment and draw an arc intersecting line and then draw arcs using the intersection points. In the last construct a line that joins the two points.

Hence the option C is correct.

Learn more about the in the construction of a perpendicular.

brainly.com/question/24508203.

Answer:

y=4x-1

Step-by-step explanation:

y=3+4(x-1)  <------ distribute property

y=3+4x-4    <---- combine 3 and -4

y=4x-1

Answer: y=4x-1

Step-by-step explanation:

y=3+4(x-1)                  Given

y=3+4x-4                    Distributive Property

y=4x-1                         Combine Like Terms

The linear equation we need to solve is:

$27.50*w = $309.99 - $144.99

And the solution is w = 6.

How to write and solve the equation?

We know that the cost of the gaming chair is $309.99.

To buy this, you already have saved $144.99, and save another $27.50 per week, then the amount you have after w weeks is:

f(w) = $144.99 + $27.50*w

So the linear equation we need to solve is:

$144.99 + $27.50*w = $309.99

To solve this we need to isolate w.

$144.99 + $27.50*w = $309.99

$27.50*w = $309.99 - $144.99

w = ($309.99 - $144.99)/$27.50 = 6

So they can buy the chair after 6 weeks.

Learn more about linear equations at:

brainly.com/question/13763238

#SPJ1

Answer:

to convey the parametric expression to be use the explosions

Answer:

60ºF

Step-by-step explanation:

80ºF - 20ºF = 60ºF

Answer:

not sure if this is the question but it would be 60 degrees Fahrenheit

This is the equation of the line in slope-intercept form. We can see that the slope is 4/5, and the y-intercept is 7/5 (or 1.4).

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation typically consists of two parts: the left-hand side (LHS) and the right-hand side (RHS), separated by an equals sign (=). Each part of the equation can contain variables, constants, and mathematical operations (such as addition, subtraction, multiplication, and division). The variables in an equation represent unknown quantities that we are trying to solve for, while the constants are fixed values.

Here,

However, I can give a general equation for a straight line in slope-intercept form, which is often used to represent a linear relationship between two variables (such as x and y). The equation takes the form:

y = mx + b

where m is the slope of the line (the rate at which y changes for a given change in x), and b is the y-intercept (the point where the line crosses the y-axis). To write the equation of a line, we need to know its slope and y-intercept, which can be determined from its graph or from other information.

For example, if we know that a line passes through the point (2, 3) and has a slope of 4/5, we can write its equation as:

y - 3 = (4/5)(x - 2)

This equation is in point-slope form, which expresses the relationship between the coordinates of a point on the line (in this case, (2, 3)) and the slope of the line. To convert it to slope-intercept form, we can rearrange it to solve for y:

y - 3 = (4/5)(x - 2)

y - 3 = (4/5)x - (8/5)

y = (4/5)x - (8/5) + 3

y = (4/5)x + 7/5

To know more about equation,

https://brainly.com/question/28243079

#SPJ1

Answer:

77 degrees

Step-by-step explanation:

we know all 3 points must equal 180 degrees. take 180 and subtract the known 26. since the last two points are equal divide by 2 and get 77

The unknown angle in the cyclic quadrilateral is as follows:

∠R = 86 degrees

The diagram above is cyclic quadrilateral. A cyclic quadrilateral is a four sided shape that can be inscribed into a circle.

The sum of angles in a cyclic quadrilateral is 360 degrees. The opposite angles in a cyclic quadrilateral is supplementary.

Hence, let's find the unknown angle.

∠R = 1 / 2 (92 + 80)

∠R = 1 / 2 (172)

∠R = 86 degrees

Therefore, the unknown angle is 86 degrees.

learn more on arc angle here: https://brainly.com/question/9806509

#SPJ1