7.
(02.01 MC)

Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.

A line graph with Distance, in yards, on the x axis and Age of Runner on the y axis. The x axis has a scale from 0 to 80 in increments of 10. The y axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6 and 60, 6 is drawn.

Which statement best describes the domain of the function represented in the graph? (1 point)
6 ≤ x ≤ 60, or x is from 6 to 60
6 ≤ x ≤ 20, or x is from 6 to 20
0 ≤ x ≤ 20, or x is from 0 to 20
20 ≤ x ≤ 60, or x is from 20 to 60
HELP

Here is an example of how the code to rotate the cube could be implemented in Python:

class RooCube:

   def __init__(self):

       self.colors = ["w", "b", "o", "g", "y", "r"]

   def left(self):

       self.colors = [self.colors[1], self.colors[5], self.colors[2], self.colors[3], self.colors[0], self.colors[4]]

   def right(self):

       self.colors = [self.colors[4], self.colors[0], self.colors[2], self.colors[3], self.colors[5], self.colors[1]]

   def up(self):

       self.colors = [self.colors[3], self.colors[1], self.colors[0], self.colors[5], self.colors[4], self.colors[2]]

   def down(self):

       self.colors = [self.colors[2], self.colors[1], self.colors[5], self.colors[0], self.colors[4], self.colors[3]]

class RooRunner:

   def __init__(self):

       self.cube = RooCube()

   def rotate(self):

       direction = input("What direction would you like to rotate (left, right, up, down)? ")

       if direction == "left":

           self.cube.left()

       elif direction == "right":

           self.cube.right()

       elif direction == "up":

           self.cube

This would give us the required result.

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The intersection of sets M and F contains the elements "c" and "d".

To find the intersection of sets M and F, we need to identify the elements that are common to both sets.

M = {a, b, c, d}

F = {c, d, e, f}

The intersection of M

and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.

Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".

Therefore, the intersection of M and F can be expressed as:

M ∩ F = {c, d}

So, the intersection of sets M and F contains the elements "c" and "d".

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The range, in centimetres (cm), of the following lengths is 20.5 cm

What is the range?

The difference between the lowest and highest numbers is referred to as the range. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3.

As a result, the range may alternatively be thought of as the distance between the highest and lowest observation. The range of observation is the name given to the outcome. Statistics' range reflects the variety of observations.

Given, 15 cm, 0.5 cm, 10.3 cm, 16.7 cm, 21 cm, 8.6 cm

So, the highest value of length = 21 cm

the lowest value of length = 0.5 cm

Then, range = the highest value - the lowest value

                    = 21 - 0.5 = 20.5 cm

Hence, the range, in centimetres (cm), of the following lengths is 20.5 cm

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Answer:

4.6-t

4.6-3.1

THAT EQUALS

1.5

SOOO 1.5 IS U ANSWER

Step-by-step explanation:

Step-by-step explanation:

=4.6-t

=4.6-3.1

=1.5

hope it helps.

Answer:

(7,-9) (14,-9)

Step-by-step explanation:

The amount of sandwich they eat altogether is 2/3

A fraction can be defined as the part of a whole number, a whole number, a whole element.

The different types of fractions are listed as;

From the information given, we have that;

Angie ate 1 / 3 of the sandwich

Kim ate another 1 / 3 of the sandwich

To determine the total amount, we have;

1/3 + 1/3

add the values

1 + 1/3

add the values, we get;

2/3

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The complete question:

Angie and Kim are sharing a large sub sandwich. Angie ate 1 / 3 of the sandwich, and Kim ate another 1 / 3 of the sandwich. Please work out in detail.

The slope of this linear function is equal to: B. -2/9.

The volume of a cylinder with a height of 10 m and a radius of 5 m is equal to 785 m³.

The value of each expression is: C. a) 2, b) 1/2, c) 2/9.

In Mathematics, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (8 - 10)/(6 - (-3))

Slope (m) = (8 - 10)/(6 + 3)

Slope (m) =

Slope (m) = -2/9.

In Mathematics, the volume of a cylinder can be calculated by using this formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given parameters, we have:

Volume of cylinder, V = 3.14 × 5² × 10

Volume of cylinder, V = 785 m³

(√2)² = 2

(1/√2)² = 1/2

(√2/3)² = 2/9

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Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:80.8

Step-by-step explanation:

The graph representation of the given distribution is attached below.

The term graph in math refers the visual representation of the collection of data that has the x and y coordinate values.

Here we have given that Three students, Linda, Tuan, and Javier, are given five laboratory rats each for a nutritional experiment. Each rat's weight is recorded in grams and we need to find the graphical representation of the distribution.

Here by using the values in the foregoing ANOVA table are quickly produced by the calculator, including the test statistic and the p-value of the test calculator shows :

=> F=0.66853555

=> p = 0.530548

And the FACTOR df =2 and SS=23.212

=> MS = 11.606

Here  the ERROR df = 12

=> SS=208.324

=>  MS = 17.36

Here by using the f distribution for the test of three different means.

Then the value of the test statistic (F-value) is 0.668 and the p -value for the test is 0.5301

When we plot the graph for the distribution then we get he graph like the following.

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Answer:

  \(a^5=3\)

Step-by-step explanation:

When it comes to exponential expressions and logarithms, the following relationship applies:

  \(\log_b{(x)}=a\ \leftrightarrow\ b^a=x\)

Here, it means ...

  \(\boxed{a^5=3}\)

Answer:

\( \huge \purple { \boxed{{a}^{5} = 3}}\)

Step-by-step explanation:

\( log_{a}(3) = 5 \\ 3 = {a}^{5} \\ \huge \red { \boxed{{a}^{5} = 3}}\)

Answer:

8700kg

Step-by-step explanation:

b = mass of bricks

l = mass of lorry

b+l = total mass = 11600kg

b = 3l  ==>  l = b/3

substitute: b + b/3 = 11600

multiply every term by 3 to get rid of denominator: 3b + b = 34800

simplify and solve:  4b = 34800  ==>  b = 8700

check:  l = 8700/3 = 2900

2900 + 8700 = 11600?  YES

Δ perimeter of swimming area:

Δ area of roped off section:

Answer:  9 eggs were left.

Step-by-step explanation:

A dozen eggs usually mean there are 12 eggs. We have two ways to solve the problems.

First way:

The egg used to make breakfast: 12 x 25% = 12 x 0.25 = 3

The eggs were left: 12 - 3 = 9

Second way:

12 x (1 - 0.25)

= 12 x 0.75

= 9

Weare asked to used distributive property and reduce the expression:

(x - 2 ) 2 + 9

so we apply distributive property to eliminate the parenthesis, multiplying the factor of "2" by "x" and by "-2":

2 x - 4 + 9

now combine like terms:

2 x + 5

If the question involved instead the following expression:

(x - 2)^2 + 9 (where the "2" was in fact a power affecting the binomial (x-2), then

Considering the given linear function, variable x represents the number of hours since the bowl was filled.

A linear function is modeled by:

\(y = mx + b\)

In which:

In this problem, the number of ounces of water left in the bown after x hours is given by:

y = -0.5x + 4.

Variable x is the input, hence, it represents the number of hours since the bowl was filled.

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Answer:

Part A: The number of ounces of water left in the bowl depends on the number of hours since the bowl was filled. So the number of ounces is the dependent quantity. The y-variable represents the dependent quantity. So, the y-variable represents the ounces of water left in the bowl.

Part B: The number of hours since the bowl was filled is the independent quantity. The x-variable represents an independent quantity. So, the x-variable represents the number of hours since the bowl was filled.

Part C: The value 4 is the initial value of the function. It represents the ounces of water in the bowl immediately after the bowl was filled and before the cat drank any water from the bowl.

Part D: The value -1/2 is the function’s rate of change. It represents the change in ounces of water in the bowl with every hour.

Step-by-step explanation:

I took the Edmentum test.

Answer:

x = 4

Step-by-step explanation:

First expand the bracket.

- 8 - 2x + 3x = -4

Separate the terms and numbers.

-2x + 3x = -4 + 8

Simplify and solve for x.

x = 4

⇒I will start by multiplying out the bracket. 2 will multiply all the term in the brackets also considering their signs.

\(-2(4)-2(x)+3x=-4\\-8-2x+3x=-4\\\)

⇒The next step is to group like term together.

\(-2x+3x=-4+8\\\)

⇒Simplify the like terms

\(x=4\)

Answer:

x = 4

x = 3

x = 10

x = 3

x = 16

x = 35

Step-by-step explanation:

\(\frac{x}{5} :\frac{8}{10}\)

x · 10 = 5 · 8

10x = 40

10x ÷ 10 = 40 ÷ 10

x = 4

\(\frac{8}{12} :\frac{2}{x}\)

x · 8 = 12 · 2

8x = 24

8x ÷ 8 = 24 ÷ 8

x = 3

\(\frac{15}{3} :\frac{x}{2}\)

x · 3 = 15 · 2

3x = 30

3x ÷ 3 = 30 ÷ 3

x = 10

\(\frac{x}{6}:\frac{6}{12}\)

x · 12 = 6 · 6

12x = 36

12x ÷ 12 = 36 ÷ 12

x = 3

\(\frac{x}{8} :\frac{4}{2}\)

x · 2 = 8 · 4

2x = 32

2x ÷ 2 = 32 ÷ 2

x = 16

\(\frac{10}{2} :\frac{x}{7}\)

x · 2 = 10 · 7

2x = 70

2x ÷ 2 = 70 ÷ 2

x = 35

Three- month simple moving average (sma) forecast for the average gas prices are $3.08

$3.16 , $3.29 and predict the average retail gasoline price for june 2020 is $3.54.

A simple moving average (SMA) is defined as an arithmetic moving average calculated by adding recent prices and then dividing that figure by the number of time periods in the calculation average. The formula for SMA is:

SMA = (A₁ + A₂ + ------+ Aₙ )/n

where, Aₙ = the price of object at nth period

n = the number of total periods

We have, a average gas prices for different months. Calculate the three-month moving average, add together the first three sets of data, for this example it would be Dec, January, and February. This gives a total of $9.25 , then calculate the average of this total, by dividing this figure by 3 we get 3-month simple moving average. We have to predict the 3-month simple moving average for June 2020. As we seen in above table we calculate the 3-month simple moving average for different months.

The 3-month simple moving average for June 2020 is ( $3.29 + $3.51 + $3.82 )/3 = $3.54

So, required value is $3.54..

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Complete question:

use the gas prices data below to calculate a 3-month simple moving average (sma) forecast for the average gas prices and predict the average retail gasoline price for june 2020. round your answer to two decimal places, if necessary.

Year - month Averge gas price

19-Dec $3.07

20-Jan $3.10

20-Feb $3.08

20-Mar $3.29

20-Apr $3.51

20-May $3.82

20-Jun

Answer:

see explanation

Step-by-step explanation:

(1)

4(m + 7) = 4 ( divide both sides by 4 )

m + 7 = 1 ( subtract 7 from both sides )

m = - 6

(2)

let the number be n , then

\(\frac{3}{5}\) n - 2 = 40 ( multiply through by 5 to clear the fraction )

3n - 10 = 200 ( add 10 to both sides )

3n = 210 ( divide both sides by 3 )

n = 70

The required number is 70

(3)

The 4 sides of a square are congruent , then

length of side = 36 cm ÷ 4 = 9 cm

Answer:

There are 17 two digit numbers have the digit 7 only once.

Step-by-step explanation:

We're considering the numbers from 10-99.

1. 17

2. 27

3. 37

4. 47

5. 57

6. 67

7. Nope

7. 87

8. 97

AND 70, 71, 72,73, 74, 75, 76, SKIP, 78, 79

8 numbers end with a seven. And 9 numbers start with a seven. We toss 77 out bc it has two sevens in it.

There are 17 two digit numbers that have the digit 7 only once.

Answer:

there are 18 2-digit numbers with the digit 7 only once.

The sixth ordered pair in the list, based on the arithmetic progression patterns 0, 2, and 4, and 0, 8, and 16 is; (10, 40)

An arithmetic progression consists of a number sequence in which the difference between subsequent terms is a constant value or number.

The number patterns Phill created can be presented as follows;

Rule for the first pattern; Add 2 (to each term to get the next term)

The terms of the First pattern; 0, 2, 4

Rule for the second pattern; Add 8 (to a term to find the following term)

The terms of the Second pattern; 0, 8, 16

The list of the ordered pair Phil wrote is; (0, 0), (2, 8), (4, 16)

The specified patterns indicates an arithmetic progression

The sixth ordered pair of the pattern can be found by finding the sixth term of the first and second patterns as follows;

The first pattern up to the sixth term is; 0, 2, 4, 6, 8, 10, which indicates;

The sixth term of the first pattern is; 10

The second pattern up to the sixth term is; 0, 8, 16, 24, 32, 40, which indicates;

The sixth term of the second pattern is; 40

The sixth ordered pair is therefore;

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Answer: False

Step-by-step explanation:

25% of the data is between Q1 and the median.

The measures of the numbered angles are as follows:

3.

4.

When parallel lines are cut by a transversal line, angle relationships are formed such as alternate angles, corresponding angles, linear angles, vertically opposite angles etc.

Therefore, line a and b are parallel to each other. The transversal line t cut the parallel lines.

Hence,

3.

m∠1 = 180 - 41 = 139° (angles on a straight line)

m∠2 = 41° (vertically opposite angles)

Vertically opposite angles are congruent.

m∠3 = 139° (vertically opposite angles)

m∠4 =  180 - 41 = 139° (same interior angles)

Same interior angles are supplementary.

m∠5 = 41° (same interior angles)

m∠6 = 139° (vertically opposite angles)

m∠7 = 41° (vertically opposite angles)

4.

m∠1 = 117° (alternate exterior angles)

Alternate exterior angles are congruent

m∠2 = 180 - 117 = 63° (sum of angles on a straight line)

m∠3 = 117° (vertically opposite angles)

m∠4 = 63° (vertically opposite angles)

m∠5 = 117° (vertically opposite angles)

m∠6 = 180 - 117 = 63° (sum of angles on a straight line)

m∠7 = 63° (vertically opposite angles)

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Hello !

Answer:

\( \boxed{h = 6}\)

Step-by-step explanation:

He has grown :

We also know that in total, he has grown 11 vegetables.

We will have to solve an equation !

\(h + 2h + 5 = 11\)

\( \iff3h + 5 = 11\)

We want to isolate h.

\(3h + 5 - 5= 11 - 5 \\ \iff3h = 6 \\ \iff \frac{3h}{3} = \frac{6}{3} = 2\)

The value of h is 2.

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Answer:

x + y = 90 - - - (1)

y = 1/4x - - - - (2)

Step-by-step explanation:

x = larger acute angle

y = smaller acute angle

Recall:

A right angle measures 90°

Sum of angles in a triangle = 180°

y = 1/4x

Hence :

90 + x + y = 180

x + y = 180 - 90

x + y = 90 - - - (1)

y = 1/4x - - - - (2)

Put y = 1/4x in (1)

x + 1/4x = 90

1.25x = 90

x = 90 / 1.25

x = 72

x + y = 90

72 + y = 90

y = 90 - 72

y = 18

After completing the task, we can state that Therefore, it will take amount approximately 11.90 years for the account to contain $2,000.

aggregate attempting to determine the time required, total number or amount. The quantity at hand or under consideration is extremely active. the overall effect, relevance, or import. Principle, interest, and a third accounting are all included. Word forms include amounts, amounting, and amounted. pliable noun A quantity is how much there is, how much you have, how much you need, or how much you get. He needs that amount of money to get by.

\(A = P(1 + r/n)^(nt)\\A = 1000(1 + 0.06/1)^(1*3)\\A = 1000(1.191)\\A = $1,191\\\)

Therefore, after 3 years, the amount in the account will be $1,191.

\(A = 1000(1 + 0.06/1)^(1*16)\\A = 1000(1.06)^16\\A = $2,011.17\\\)

Therefore, after 16 years, the amount in the account will be $2,011.17.

\(A = 1000(1 + 0.06/1)^(1*t) = 1500\\(1 + 0.06)^t = 1.5\\t = log(1.5)/log(1 + 0.06)\\t = 11.55\\\)

Therefore, it will take approximately 11.55 years for the account to contain $1,500.

\(A = 1000(1 + 0.06/1)^(1*t) = 2000\\(1 + 0.06)^t = 2\\t = log(2)/log(1 + 0.06)\\t = 11.90\\\)

Therefore, it will take approximately 11.90 years for the account to contain $2,000.

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Answer: $50

Step-by-step explanation:

Rounding the numbers, you get 70-20, which equals $50

Answer:

(1, -4.5)

4th quadrant has positive x's and negative y's

The values of the angles given are: 0,90,180,240,270,360,420,480,540,600,630,660,720 and

he sine of an angle is the trigonometric ratio of the opposite side to the hypotenuse of a right triangle containing that angle.  It is defined as the length of the opposite side divided by the length of the hypotenuse

The given angles are: 0,30,45,90,120,135,180,210,225,240,270,300,315,330,360

2∅  2*∅ = 0, 90,180,240,270,360,420,480,540,600,630,660,720

sin 2∅ = sin0 = 0; Sin90=1;  sin180=0; sin240= -0.8660; sin270 = -1;

Each angle is multiplied by sine sine360 =1; sin420 = 0.8660; sin480= 0.9848; sin540=1; sin600=-0.8660; sin630=-1; sin660=0.8660; sin720= 0.9397

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