The **constant **of **proportionality **is 10 in the given **graph **which represents the total number of plants and number of seed packets used.

Equivalence between two ratios is referred to as **proportionality **in algebra. A and B are in the same **proportion **as C and D in the expression a/b = c/d. When one of a **proportion's **four quantities is unknown, a **proportion **is typically used to solve a word problem.

It is resolved by multiplying one numerator by the opposing denominator and equating the result to that of the other numerator and denominator. Any relationship that always has the same ratio is referred to as **proportional**.

For instance, the ratio of **proportionality **is the average number of apples per tree, and the quantity of apples in a crop is **proportional** to the number of trees in the orchard.

Here, when number of seeds packet is 1 plants are 10 and when seeds packet are 5 plants are 50, we can divide each of the variables to find the constant,

10/1 = 10

20/2 = 10

30/3 = 10

Thus, constant is 10 represented as y = kx

where y = no. of plants = 30

k = 10

x = no. of seeds packet = 3

Learn more about **proportionality **

https://brainly.com/question/15525667

#SPJ9

Which numbers are rational?

The result is -

Rational are numbers which can be written with in form p/q, in which q and p are integers and q≠0. is a negative number.

The distinction amongFor the given number-

** π**, 5/4, -8, 2.35 bar, 19/7, 8, 0

All numbers except π are rational as they are either ending number or have the bar which means they will repeat after some point.

π is the only number which have the value 3.14........and so o such that, it is nether **terminating** nor repeating.

Thus, π is the **irrational number.**

Therefore, rational numbers are- [5/4, -8, 2.35 bar, 19/7, 8, 0]

To know more about **Rational** **number,** here

**https://brainly.com/question/12088221**

**#SPJ13**

customers arrive at a checkout counter in a department store according to a poisson distribution at an average of seven per hour. what are the probabilities that

From the information given in the Poisson Distribution, the **probability **that that no more than three customers arrive that is P (X≤3) = 0.0817.

What is a **Poisson Distribution**?

The Poisson distribution is a discrete **probability **distribution in probability theory and statistics that articulates the likelihood of a specific number of events happening in a fixed interval of time or space if these events occur with a particular frequency mean rate and regardless of the time since the last event.

What Are the **Poisson Distribution's **Assumptions?

To be correct, all events must be independent of one another, the pace of occurrences must be steady across time, and events cannot occur concurrently. Furthermore, the mean and the variance will be equal.

What is the justification for the above result?

According to a Poisson distribution, seven people come at a checkout counter in a department store every hour on average. i.e λ=7

**Probability **(P) that no more than three customers arrive is notated as P(X≤3)

= P(X=0) + P(X=1) + P(X=2) + P(X=3)

= Poisson (3,7,1)

= 0.0817

Learn more about of **Poisson distribution **here

https://brainly.com/question/28621199

#SPJ4

find the length and simplify in radical form

**Answer:**

Length = 9

**Step-by-step explanation:**

7^2 + 4sqrt2^2 = x^2

49 + 16*2 = x^2

49+32 = x^2

x^2=81

x=9

:] (Tell me if this is wrong)

For which equation would x= 10 be a solution?

06 x+5=45

3 x-4 = 24

5+6 x = 55

5x-8=42

**Answer:**

5x-8=42

**Step-by-step explanation:**

5x-8=42

+8 +8

5x=50

50÷5

10

7u + 17 - 12u = -38 solve for u and simplify your answer as much as possible

**Answer:**

u=11

**Step-by-step explanation:**

7u-12u+17=-38-combine like terms

-5u=-38-17

-5u=-55

-u=-11

which means u=11

**Answer:**

u = 11

**Step-by-step explanation:**

7u + 17 - 12u = - 38 , that is

- 5u + 17 = - 38 ( subtract 17 from both sides )

- 5u = - 55 ( divide both sides by - 5 )

u = 11

Diana severs breakfast to two groups of children at a daycare center. One box of Oaties contains 12 cups of cereal. She needs ⅓ cup for each younger child and ¾ cup for each older child. Is one box of Oaties enough for everyone

**One box** of oaties will be **enough** for two groups of children.

We can state the box of oaties is enough for everyone, if the amount required by number of children in each group is less than or equal to 12.

So, amount of cereal required by **younger/****o****lder** children = amount required by **one child** × number of** children**

Amount of cereal required by younger children = 1/3 × 11

Amount of cereal required by younger children = 11/3 cups of cereal

Amount of cereal required by older children = 3/4 × 10

Amount of cereal required by younger children = 15/2 cups of cereal

Amount of cereal = 12 - (11/3 + 15/2)

Taking LCM in the bracket, we get 6

Amount of cereal = 12 - (11×2 + 15×3/6)

Solving the bracket

Amount of cereal = 12 - (22 + 45/6)

Performing **addition** = 12 - (67/6)

Amount of cereal = (12×6 - 67)/6

Amount of cereal = 72 - 67/6

Performing **subtraction** in numerator

Amount of cereal = 5/6

As **5/6 cups** of cereal is remaining, thus, a box of oaties will be **enough** for 11 younger children and 10 older children.

Learn more about **fraction** -

https://brainly.com/question/78672

#SPJ1

The complete question is -

Diane serves breakfast to two groups of children at a daycare center. One box of oaties contains 12 cups of cereal. She needs 1/3 cup for each younger child and 3/4 cup for each older child. Todays group includes 11 younger children and 10 older children. Is one box of oaties enough for everyone?

15. Determine the sum of the measures of the interior angles of this seven-sided polygon.

Show your calculation.

**Answer:**

900⁰

**Step-by-step explanation:**

Use the formula:

(n-2)×180 =sum of interior angles.

n= number of sides

(7-2) × 180= 5×180= 900⁰

Draw a number line showing the whole numbers 16 through 19 and divisions between whole numbers in thirds.

Note: This is class 6 maths so please do it in class 6 way and not in the high school way. I need this answer as soon as possible.

I have attached the image.

If someone were to answer all the questions that would be appreciated im confused with this!

**Answer:**

Choice A I think, i'm not really sure!

27

A student packs 18 tennis balls in 6 cans

containing an equal number of balls.

How many balls are there in each pack?

**Answer:**

There are 3 tennis balls in every can

**Step-by-step explanation:**

18/6 = 3

I need help with this question asap 5x-4+4x=

**Answer:9x-4**

**Step-by-step explanation:**

**Answer:**

It simplifies to 9x-4

x= 4/9 or 0.4

**Step-by-step explanation:**

Paul’s short-term goal is to exercise 3 hours per workout. His long-term

goal is to exercise 33 hours per month. What is the fewest number of

workouts will Paul need to do to meet his long-term goal?

A: 6

B: 11

C: 14

D: 18

It is B, 11. Just divide 33 by 3 and you will get your answer

Rotate the shape as described.

The ordered pair for A' is

. The ordered pair for B' is

. The ordered pair for C' is

By applying a **rotation** of 180° **counterclockwise** to triangle ABC, we have the following:

A **rotation** can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or **counterclockwise** (anticlockwise) direction.

In Geometry, **rotating** a point 180° about the origin in a clockwise or **counterclockwise** (anticlockwise) direction would produce a point that has the **coordinates** (-x, -y).

By applying a **rotation** of 180° **counterclockwise** (anticlockwise) to triangle ABC, the **coordinate** of the image of triangle A'B'C' is given by:

(x, y) → (-x, -y)

Points at A = (-4, 0) → Points at A' = (-(-4), -(0)) = (4, 0)

Points at B = (-7, -2) → Points at B' = (-(-7), -(-2)) = (7, 2).

Points at C = (-7, -2) → Points at C' = (-(-9), -(-9)) = (9, 9).

Read more on** rotation **here: https://brainly.com/question/28515054

#SPJ1

The points (3,9) and (2,6) fall on a particular line. What is its equation in slope-intercept form

**Answer:**

Equation of a line given two points:

Line equation: **y = 3x**

Slope = **3**

Intercept = **0**

**Answer:**

2 quinoa because it will comit 4 plus6

Find the Standard deviation of 2, 2.6, 3.2, 4.3 5, 4.7, 6.2

The most appropriate choice for **standard deviation** will be given by-

**Standard deviation** is 1.41

**What is Variance and standard deviation?**

At first, it is important to know about **mean** of a data.

**Mean** gives the** average** value of the data.

**Variance** is calculated by taking the sum of the square of **deviation** of each value of the data set and then dividing the sum by the total number of values of the data set.

On taking the **square root** of the **variance**, we will obtain the **standard deviation** of the data set.

Here,

The data set is 2, 2.6, 3.2, 4.35, 4.7, 6.2

Mean = [tex]\frac{2 + 2.6 + 3.2 + 4.35 + 4.7 + 6.2}{6}[/tex]

= 3.84

Variance = [tex]\frac{(2-3.84)^2+(2.6-3.84)^2+(3.2-3.84)^2+(4.35-3.84)^2+(4.7-3.84)^2+(6.2-3.84)^2}{6}[/tex]

= [tex]\frac{11.9021}{6}[/tex]

= [tex]1.983[/tex]

Standard deviation = [tex]\sqrt{1.983}[/tex]

= 1.41

To learn more about **variance** and **standard deviation**, refer to the link:

https://brainly.com/question/24298037

#SPJ9

Ten years ago, you could buy a loaf of bread for $1.21.

Twenty years ago, you could buy a loaf of bread for $0.92.

What is the difference in prices?

In 10 years the price for a load of bread has raised $0.29

The difference between the two prices can be found using subtraction.

1.21 - 0.92 =

0.29

1.21 - 0.92 =

0.29

Aschool playground is rectangular and has a length of50 m and

a width of 30 m as shown. A safety eone of uniform width surrounds

the playground. lfthe area ofthe safety zone equals the area ofthe

playground, what is the width of the safety zone, to 2 decimal places?

The most appropriate choice for** quadratic equation** will be given by

Width of safety zone is 7.84 m

What is **equation** and **Quadratic** equation?

A statement that shows the equality between two mathematical expressions by connecting the two mathematical expression with an equal to (=) sign is called **equation.**

A two degree equation is known as **quadratic equation**.

Let [tex]ax^2+bx +c[/tex] be a **quadratic equation** (a ≠ 0)

Then

[tex]x = \frac{-b \pm \sqrt{b^2 -4 \times a \times c}}{2\times a}[/tex]

Here,

Let the width of the safety zone be x metre

Length of rectangular park = 50m

Breadth of rectangular park = 30m

Area of rectangular park = [tex]50 \times 30[/tex]

= [tex]1500[/tex] [tex]m^2[/tex]

Length of rectangular park with safety zone = (x + x + 50) m

= (2x + 50) m

Breadth of rectangular park with safety zone = (x + x + 50) m

= (2x + 30) m

Area of rectangular park with safety zone = (2x + 50)(2x + 30) [tex]m^2[/tex]

* = *[tex]4x^2 +60x + 100x + 1500[/tex]

= [tex](4x^2 + 160x +1500) m^2[/tex]

Area of safety zone = [tex]4x^2 +160x+1500-1500[/tex]

= [tex]4x^2 +160x[/tex]

By the problem,

[tex]4x^2 +160x=1500[/tex]

[tex]4x^2 +160x-1500=0[/tex]

[tex]4(x^2 +40x-375)=0[/tex]

[tex](x^2 +40x-375)=0[/tex]

[tex]x = \frac{-40 \pm \sqrt{40^2 -4 \times 1 \times (-375)}}{2\times 1}[/tex]

[tex]x = \frac{-40 \pm \sqrt{1600 +1500}}{2\times 1}[/tex]

[tex]x = \frac{-40 \pm \sqrt{3100}}{2}[/tex]

[tex]x = \frac{-40 \pm 55.68}{2}[/tex]

[tex]x = \frac{-40 + 55.68}{2}[/tex] or [tex]x = \frac{-40 - 55.68}{2}[/tex]

[tex]x =7.84[/tex] or [tex]x = -47.84[/tex]

[tex]x = -47.84[/tex] is not possible as width cannot be negative

so [tex]x = 7.84[/tex] m

Width of safety zone is 7.84 m

To learn more about **quadratic equation**, refer to the link

https://brainly.com/question/24334139

#SPJ9

given the f(X)=2x+3/x-1 and g(X)=3x+1

a.)evaluate

i.)fg(-1)

**Evaluation **of **fog(-1) **= 1/3

Given,

** f(X)=2x+3/x-1 **

g(X)=3x+1

a) Evaluate:

(f o g)(x) = **f(g(x))**

= 2(g(x)) + 3/(g(x)) - 1

= 2(3x + 1) + 3/(3x + 1) - 1

= 6x+2+3/3x+1-1

(f o g)(x) =** 6x+5/3x**

i) fog(-1) = 6(-1)+5/3(-1)

= -6+5/-3

= -1/-3

**fog(-1) = 1/3**

Hence, a.)evaluate: (f o g)(x) = 6x+5/3x

i.)fg(-1): fog(-1) ** = 1/3**

To learn more about **Function **click on the link

https://brainly.com/question/10439235

#SPJ13

simplify the expression PLS HELP DUE SOON WILL MARK BRAINLEST UF UU ADD STEPS TOO !!!!

Just multiply 3 to the power of each individual variable or constant in the term

It becomes

125x^18 y^6

It becomes

125x^18 y^6

**Answer:**

[tex]125x^{18}y^{6}[/tex]

**Step-by-step explanation:**

Given expression:

[tex]\left(5x^6y^2\right)^3[/tex]

Apply the **exponent rule** that states that raising a number to a **power of 1 **yields the **original number**: 5 = 5¹.

[tex]\implies \left(5^1x^6y^2\right)^3[/tex]

[tex]\textsf{Apply exponent rule} \quad (abc)^n=a^n \cdot b^n \cdot c^n:[/tex]

[tex]\implies \implies \left(5^1\right)^3 \cdot \left(x^6\right)^3 \cdot \left(y^2\right)^3[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies 5^{(1 \cdot 3)} \cdot x^{(6 \cdot 3)} \cdot y^{(2 \cdot 3)}[/tex]

[tex]\implies 5^3x^{18}y^{6}[/tex]

Carry out 5³:

[tex]\implies 5 \cdot 5 \cdot 5 \cdot x^{18}y^{6}[/tex]

[tex]\implies 25 \cdot 5 \cdot x^{18}y^{6}[/tex]

[tex]\implies 125x^{18}y^{6}[/tex]

Similar triangles ABE and BCD are shown on the coordinate plane. Line t passed through points A, B, and C,Select from the list to correctly complete the sentence.

**Answer**

The slope of segment AB is **equal to **the slope of the segment BC.

**Explanation**

Similar triangles have the same set of interior angles.

And it is one these angles, that determines the slope of the line segment **AB **or **BC.**

For the two triangles, that angle is the same because they are similar triangles.

So,

The slope of segment AB is **equal to **the slope of the segment BC.

**Hope this Helps!!!**

Please help

It’s due tonight

**Answer:**

it -8 2÷-14=-7 x=-7

-7+-1=-8

Prove that the measures of the exterior angles of a triangle have a sum of 360°.

Given: <1, <2, and <3 are exterior angles.

Prove: m<1 +m<+m<3 = 360

**Sum of Exterior Angles **of **Triangle** is 360°.

**Define Exterior Angle**

The angle between any side of a shape and a line that extends from the next side is known as the **exterior angle.**

Let's Prove: **∠1 + ∠2 + ∠3 = 360°**

The angle that is created between one of a triangle's sides and its adjacent extended side is known as the **external angle**. A triangle has three external angles. Let's learn about the equation for adding a triangle's exterior angles.

From the figure, we can observe that ∠1, ∠2, and ∠3 are the exterior angles of triangle ABC. We know that the **sum of all the exterior angles** of any **polygon** is **equal** to 360°.

Thus, **sum of all the exterior angles of a triangle** = 360°

Therefore, In **triangle** ABC the **sum of exterior angles**,

∠1 + ∠2 + ∠3 = 360°

To read more about the** Exterior angles**

https://brainly.com/question/25870256

#SPJ13

Select all of the TRUE statements

A.

Dilations of a triangle are congruent to the original triangle.

B.

Dilations always increase the length of line segments.

C.

Dilations of a triangle are similar to the original triangle.

D.

Dilations of perpendicular lines remain perpendicular lines.

E.

Dilations increase the measure of angles.

F.

Dilations of an angle are congruent to the original angle.

The statements which are true include the following:

C. **Dilations** of a triangle are similar to the original triangle.

D. Dilations of **perpendicular** lines remain **perpendicular** lines.

F. **Dilations** of an** **angle are congruent to the original** angle**.

In Geometry, there are different types of **transformation** and these include the following:

**Dilation** simply refers to a type of **transformation** which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

In this context, we can reasonably infer and logically deduce that a **dilation** of perpendicular lines would always remain **perpendicular** lines because it takes each of the line to another **perpendicular** line.

Read more on** dilation** here: https://brainly.com/question/14243204

#SPJ1

Which is a source of bias in a survey question?

a multiple-choice question that does not list commonly known options

a question that is so difficult most students will miss it

a question that asks a student to give an example of a concept in the lesson

a question that is so easy all students give the right answer

The source of **bias** in a survey question is D. a question that is so easy all **students** give the right answer.

Source **bias** is the propensity to favor sources of information that corroborate or **contradict** a certain set of views or values.

When systematic inaccuracy is added to **sampling** or testing during research, bias emerges. This happens when one outcome or response is preferred over others. Bias can appear at any stage of the research process, including study design, **data** collection, data analysis, and publication.

It should be noted that when the question is so easy, it ilustrates **bias** since it was intentional.

Learn more about **bias** on

https://brainly.com/question/4540984

#SPJ1

Bagels cost $0.65 each. Jim has 6 dollars. How many bagels can jim buy?

**Answer: **

He can buy 9 bagels

**Step-by-step explanation:**

6 divided by $0.65 gets you 9.230769230769231. We have to round this down so he can get 9 bagels.

a + b - 8 = p solve for a

**Answer:**

a = −b + p + 8

**Step-by-step explanation:**

a + b - 8 = p solve for a

a + b - 8 = p

subtract b from both sides:

a + b - 8 - b = p - b

a - 8 = p - b

add 8 to both sides:

a - 8 + 8 = p - b + 8

a = p - b + 8

rearrange for alphabetical order:

**a = −b + p + 8**

**Answer:**

a = p + 8 - b

**Step-by-step explanation:**

Step 1: Add 8 both sides

[tex]\displaystyle{a+b-8+8=p+8}\\\\\displaystyle{a+b=p+8}[/tex]

Step 2: Subtract b both sides

[tex]\displaystyle{a+b-b=p+8-b}\\\\\displaystyle{a=p+8-b}[/tex]

*Note: You can also subtract b both sides first then add 8 both sides.*

Therefore, the new equation when a-term is the subject is [tex]a=8+p-b[/tex].

*Please let me know if you have any questions!*

answers asap plss asrgw4iflgj4pIEARHGPW45HIGOLIH3N54HGW!!!!!!?!?!?!?!?!?!?!

**Answer:**

gvs-qvzp-hst please join once I beg you

**Answer:**

Plan A is cheaper by 2 dollars when watching 6 movies

**Step-by-step explanation:**

plan a: y=x+18

plan b: y=3x+8

6+18=24

18+8=26

whats greater 0.9 , 4/5 , 76% , 9/8

(IN THE LEAST TO GREATEST)

**Answer:**

76%,4/5,0.9,9/8

**Step-by-step explanation:**

The straight line y = mx + c lies on the right side of y-axis if a. c = 0 b. c = -1 c. c>0 d. c<0

-1 because that’s is they y-intercept

1.2x10^8 x 4.0x10^3

Scientific Notation

**Answer:**

**4.8x10^11**

**480000000000**

**Step-by-step explanation:**

A basic test of the usefulness of the market segmentation process is whether it leads to tangible marketing actions that can.
what is the answer to 7 3/16 + 4 5/48
Explain how the facts of McCulloch v. Maryland and the facts of Worcester v. Georgia led to similar holdings in both cases
Dose anyone get this i am confused
Fill in the Blank with the correct verb take . She has___ Her medicine on time
HELP ASAP WILL GIVE BRAINLEST Write 4,650,000,000 in scientific notation. 4.65 x 109 4.65 x 109 465 x 107 465 x 107
if the divided is 782 and the divisor is 1523 what is the quotient
Find the area of this parallelogram. Be sure to include the correct unit in your answer.
suppose that y is independent of explanatory variables and it takes on the values -2, -1, 0, 1, 1 with equal probability. does this violate the gauss- markov assumption
Diane wants to measure the height of a tree. She sights the top of the tree, using a mirror that is lying flat on the ground. The mirror is 35 ft from the tree, andDiane is standing 7.9 ft from the mirror, as shown in the figure. Her eyes are 6 ft above the ground. How tall is the tree? Round your answer to the nearest foot.
Which answer choice is not a correct method to illustratethe answer to this problem?876 43 = ?A) 876 43 20 B) 876 43 = 20 16/43C) 876 43 = 20.16D) 876 43 = 20r16 note: the r stands for reminder
A Student recorded a temperature of 75 degrees Fahrhet athour 9 and 95 degrees fahreneit at hour 13.- which caculation could be used to determine the avengerate of change between this two temperatures?
is it true that lessons must always start from learners experiences?
The following data shows the number of contacts that a sample of high school students had in their cell phones. 154,109,137,115,152,140,154,178,80,103,126,126,137,165,165,129,200,148A.) Identify any outliers in the dataB.) Draw a box plot to represent the dataC.) Analyze your data
Lynn Golding is employed as a payroll supervisor and earns $18 per hour. This pay period she worked 40 hours. She is married and claims 6 allowances. The state tax is 3.0% of gross earnings, and the local tax is 1.5% of gross earnings. Lynn pays $35 for medical insurance and $17 in union dues. Calculate Gross pay, net pay, federal income tax, social security, Medicare, State, Local, Medical and Union Dues.
factory overhead is estimated to be $30,000 and is applied on a basis of direct labor dollars. this overhead cost is not traceable to any particular product. factory overhead allocated to product 2 is
Deion's cab company charges a one-time pickup fee of $2 for every ride, as well as a $1.10 charge for each mile traveled. Find the rate of change.
a heavy seesaw is out of balance. a lightweight girl sits on the end that is tilted downward, and a heavy boy sits on the other side so that the seesaw now balances. if the boy and girl both move forward so that they are one-half their original distance from the pivot point, what will happen to the seesaw?
what is the legislation that redesigned the medicare part b reimbursement incentive and mandated the transition to the medicare beneficiary identifier?
Use congruent triangles to find side lengths.If you were asked to draw the two congruent triangles described below, what would be each side length? ABC EFGAB = 6, GF = 8, AC = 10.