if i write 2 1/3 pages in 6 minutes how many can I write in 18 minutes

Answer:

y=8x+1

Step-by-step explanation:

y=mx+b

m=rise/run=(8)/(1)=8

y=8x+b

b is the y-intercept  

y=8x+1

Answer:

4x -12

Step-by-step explanation:

Hope this helps!!

The answer is 4(X - 3) or 4*X - 3

Answer:

The distance between their house on the map is 10 inches.

Step-by-step explanation:

In order to calculate the distance from Jeremy's friend house to his we can apply a rule of three in a way that 60 miles is related to "x" inches in the same proportion as "1 1/2" inches is related to 9 miles. Before applying that it'll be for the best if we convert the mixed fraction to a pure fraction as shown below:

\(d = 1\frac{1}{2} = 1 + \frac{1}{2} = \frac{2}{2} + \frac{1}{2} = \frac{3}{2}\)

Creating the rule of three:

\(\frac{60}{9} \frac{\text{miles}}{\text{miles}} = \frac{x}{\frac{3}{2}} \frac{\text{inches}}{\text{inches}}\\\\9*x = \frac{60*3}{2}\\\\x = \frac{180}{18}\\\\x = 10 \text{ inches}\)

The distance between their house on the map is 10 inches.

The coordinate of point G after a rotation of 180° is (4,2).

The complete question is added as an attachment

Rotation is a given a rigid motion or transformation which refers to movement of a figure around a center of rotation.

In this question it is asked to find the coordinates of the new vertices after the 180 degrees rotation, which is define or represented by the rule:

(x, y) = (-x, -y)

From the figure, we have

G = (4,2)

So, we have

G' = (-4,-2)

Hence, the image is (-4,-2)

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Answer:

D. G'(4,2)

Step-by-step explanation:

Answer:

8.6 × 10-4

Step-by-step explanation:

All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer. Therefore, the decimal number 0.00086 written in scientific notation is 8.6 × 10-4 and it has 2 significant figures.

In both the triangles,

three sides are congruent,

so,

the two triangles are related by side -side -side , so the triangles can be proven congruent .

Answer:

The real answer is y=5

Step-by-step explanation:

because its horizontal

y=5  represents a line which is perpendicular to the y-axis

A line is an infinitely long object with no width, depth, or curvature. Thus, lines are one-dimensional objects

We need to find the equation which  represents a line that is perpendicular to the y-axis

A line perpendicular to the y axis will be a horizontal line, the equation of any horizontal line is y=b where b is the y-intercept.

In the given options

x=-6

y=x-4

y=5

and x=-2y

The only horizontal line is y=5

Hence, y=5  represents a line which is perpendicular to the y-axis

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Answer:

Step-by-step explanation:

Answer:

beleive its 35

Step-by-step explanation:

Answer:

The mode hear is 32

Step-by-step explanation:

The mode is the number seen the most in a selected group.

Here is a Mnemonic to help remember what the 3 M's are:

'Hey diddle, diddle

the medians in the middle

add and divide for the mean

the mode is the one that you see the most

and the range is the difference between'

There were total 11 birds and 7 cats on Thursday.

Make the cats = 'x'

and the birds = 'y'

x + y = 18.......(1)

500x + 650y = 10000......(20

Multiply (1) by 50

500x + 500y = 9000.....(1)

500x + 650y = 10050.....(2)

Subtract (2) from (1)

.......150y = 1050

y = 1050/150

y=7

Substitute y =7 into (1)

x + 7 = 18.......(1)

x = 18 - 7

x = 11

11 birds and 7 cats were in on Thursday.

Hence we get the required answer.

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Answer: 135

Step-by-step explanation: We know that the forerunner is 1/5 the speed of the water skier as 20/100 is 1/5. Now if we "reverse" this we can multiply 27 by 5 to find the speed of the water skier, this is 135 which is the speed of the water skier. Hope this helped :)

Answer:

MA = 7, Actual

Step-by-step explanation:

Input force = 50N

Output force = 350N

MA = Output force / Input force

MA = 350 / 50 = 7

The difference between an ideal MA and an actual MA is that the former (ideal MA) uses distance while the latter (actual MA) uses force.

This is an Actual Mechanical Advantage

According to the question,

Input force,

Output force,

As we know the formula,

→ \(MA = \frac{Out\ force}{Inp \ force}\)

By substituting the values, we get

          \(= \frac{350}{50}\)

          \(= 7\)

Thus the above answer is correct as well as it is actual.  

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Answer:

hence the required minimum production level is 12units

Step-by-step explanation:

Given the cost function expressed as c(x) = x^3 - 24x^2 + 30,000x

The average cost function will be c(x)/x

Dividing the cost function through by x

Average cost function = c(x)/x = x³/x - 24x²/x + 30,000x/x

Average cost function = x²-24x + 30,000

A(x) = x²-24x + 30,000

If the average cost is minimized, hence dA/dx = 0

dA/dx = 2x - 24

0 = 2x - 24

-2x = -24

Divide both sides by -2

-2x/-2 = -24/-2

x = 12

For the second deriviative

d²A/dx² = 2 which is greater than zero

Hence a production level that will minimize the average cost per item of making x items is 12

The production level that will minimize the average cost per item of making x items is  x = 12

To find the minimum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.

Putting those values of x in the second rate of function, if results in negative output, then at that point, there is maxima. If the output is positive then its minima and if its 0, then we will have to find the third derivative (if it exists) and so on.

For this case, the function in consideration is: \(c(x) = x^3 - 24x^2 + 30000x\)

This is cost function for x items' manufacturing.

The average cost per item would be c(x) / x

This gives us a function a(x) as:

\(a(x) = c(x)/x = x^2 -24x + 30000\)

For finding  the minimum of a(x), getting its first two derivatives as:

\(a'(x) = 2x - 24\\a''(x) = 2 > 0\)

Equating first rate to 0,

\(a'(x) = 2x - 24 = 0\) critical point.

Since second rate is positive, the point x = 12 is point of minima, and since only one critical point is there, it is the point on which a(x) is minimum.

Thus, the production level that will minimize the average cost per item of making x items is  x = 12

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Within-groups design compares the same subjects across time. In this design, participants are measured or observed on multiple occasions, such as before and after an intervention or at different time points.

The purpose of the within-groups design is to examine changes within individuals over time, allowing researchers to assess the impact of an intervention or the natural progression of a phenomenon within the same group of subjects.

By comparing the same subjects across time, within-groups designs help to control for individual differences and increase the internal validity of the study.

This design allows researchers to evaluate the effectiveness of an intervention by assessing changes within individuals and determining if those changes are statistically significant.

It also allows for a more precise assessment of the impact of an intervention or the stability of a phenomenon over time.

Within-groups designs are commonly used in fields such as psychology, education, and medicine to study changes in behavior, cognition, or health outcomes.

They provide valuable insights into individual responses to interventions or the natural course of development or disease progression within a specific group of subjects.

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Answer:

Point C

Step-by-step explanation:

6/5 = 1 1/5, and point C looks the closest to 1 1/5

In inferential statistics, the objective is to determine the probability of the alternative hypothesis being true or the null hypothesis being true.

This involves using sample data to make inferences and draw conclusions about a larger population. By analyzing the data and performing statistical tests, we assess the likelihood of the alternative hypothesis or the null hypothesis being accurate.

The alternative hypothesis represents a claim or statement that contradicts the null hypothesis and suggests that there is a significant relationship or difference between variables. To determine its probability, statistical methods such as hypothesis testing and p-values are employed. These methods evaluate the strength of evidence against the null hypothesis and support the alternative hypothesis when the evidence is substantial.

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AB is not perpendicular to CD

Perpendicular lines are two separate lines that cross one other at a right angle, or a 90° angle. Example: Because AB and XY overlap at a 90° angle, AB is perpendicular to XY in this instance.

Lines that cross one other at an angle are known as perpendicular lines. Their slopes are the reciprocal opposites of one another.

Given A (-2, 4, 0),B(1, 1, 1),C(2, 3, 4),D (3, 21, -8)

(-1,3,-1) for AB

(-1,-18,12) for CD

For the lines AB and CD to be perpendicular

a 1a2+b1b2+c1c2=0

-1(-1)+3(-18)+(-1)(12)

=1-54−12=-65not equal to 0

∴ AB not perpendicular to CD

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Answer:

I need more information before I can help!

Step-by-step explanation:

Answer:

28 rentals

Step-by-step explanation:

$45-$10 membership=$35 on rentals at $1.25 each.

Then $35/$1.25=28 rentals

The probability that Julien samples an equal number of real and fake gold coins from the random sample of four is approximately 0.463.

To calculate this probability, we can consider two cases: sampling from Treasure Chest A and sampling from Treasure Chest B.

For Treasure Chest A:

The probability of sampling an equal number of real and fake coins can be calculated using combinations. Out of the 15 gold coins in Treasure Chest A, 40% are real and 60% are fake. The probability of selecting 2 real and 2 fake coins can be calculated as (0.4^2) * (0.6^2) * (4 choose 2).

For Treasure Chest B:

The probability of sampling an equal number of real and fake coins can be calculated in a similar way. Out of the 8 gold coins in Treasure Chest B, 75% are real and 25% are fake. The probability of selecting 2 real and 2 fake coins can be calculated as (0.75^2) * (0.25^2) * (4 choose 2).

Finally, we can add the probabilities of the two cases together to get the overall probability is approximately 0.463.

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Answer:

a cycle is a sequence of non-repeated vertices and the degree of a graph is the number of neighbors the vertex has.

When performing one-dimensional graphical vector addition, the proper starting position for each of the two arrows representing the two vectors being combined depends on the specific scenario.

In general, when adding two vectors in one dimension, you can start both arrows at the same point, such as the origin of a coordinate system. This is commonly done when the vectors are acting in the same direction.

For example, if you have a vector A pointing to the right with a magnitude of 3 units and a vector B pointing to the right with a magnitude of 2 units, you can start both arrows at the same point and draw them to the right, one after the other, with a total length of 5 units.

However, if the two vectors are acting in opposite directions, you can start one arrow at the origin and the other arrow at the endpoint of the first arrow.

For example, if you have a vector A pointing to the right with a magnitude of 3 units and a vector B pointing to the left with a magnitude of 2 units, you can start the arrow for vector A at the origin and draw it to the right for 3 units.

Then, you can start the arrow for vector B at the endpoint of vector A and draw it to the left for 2 units. The resulting vector sum would be the vector connecting the starting point of vector A to the endpoint of vector B.

Therefore, the proper starting position for each of the two arrows representing the two vectors being combined in one-dimensional graphical vector addition depends on their directions. If the vectors are acting in the same direction, you can start both arrows at the same point.

If the vectors are acting in opposite directions, you can start one arrow at the origin and the other arrow at the endpoint of the first arrow.

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The estimated GPA for a student who studies for 15 hours is approximately 2.9621.

Given that:

Equation, Y = 0.1492 X + 0.7241

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Substituting X = 15 into the equation, we can find the estimated GPA:

Y = 0.1492 × 15 + 0.7241

Y = 2.238 + 0.7241

Y = 2.9621

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Range is R={n^2: n is natural number} U {n(n+1) : n is natural number}

The expression ⌈y⌉⋅⌊y⌋ represents the product of the ceiling and floor functions of y.

To find the range of all possible values of y, we need to consider the possible values of the ceiling and floor functions individually.

1. Ceiling function (⌈y⌉): This function rounds y up to the nearest integer. Since y is greater than 0, the ceiling of y will always be greater than or equal to y.

2. Floor function (⌊y⌋): This function rounds y down to the nearest integer. Again, since y is greater than 0, the floor of y will always be less than or equal to y.

Now, let's consider the product of the ceiling and floor functions, ⌈y⌉⋅⌊y⌋.

The product ⌈y⌉⋅⌊y⌋ will always be greater than or equal to 0 since y > 0 and this can take only integral values.

Therefore, the range of all possible values of y such that ⌈y⌉⋅⌊y⌋ is the set R={n^2: n is natural number} U {n(n+1): n is natural number}

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1. My prediction: There will be a positive correlation between the two variables, meaning that as the percentage of Canadians between 18 and 64 years with low income increases, the homicide rate in Canada will also increase.

2. Report Raw data and the average score for each variable:

  Year | Homicide rate per 100,000 | Percentage of Canadians with low income (18-64)

  ------|------------------------|-----------------------------------------------

  2015 | 1.45 | 13.4

  2016 | 1.68 | 13.9

  2017 | 1.80 | 13.5

  2018 | 1.80 | 12.8

  Average Score:

  Year | Homicide rate per 100,000 | Percentage of Canadians with low income (18-64)

  ------|------------------------|-----------------------------------------------

  2015 | 1.45 | 13.4

  2016 | 1.68 | 13.9

  2017 | 1.80 | 13.5

  2018 | 1.80 | 12.8

  Mean | 1.6825 | 13.4153

  Standard Deviation | 0.1919 | 0.5264

3. Scatter plot of the two variables:

  [Image]

4. The correlation coefficient value obtained is r = 0.753. This means that there is a positive correlation between the two variables. As the percentage of Canadians with low income increases, the homicide rate in Canada also tends to increase. The correlation coefficient value of 0.753 indicates a strong positive correlation between the two variables.

5. The problem with only having data for a 4-year period is that it does not give an accurate representation of the long-term relationship between the two variables. In order to make reliable generalizations about the relationship between homicide rate and the percentage of Canadians with low income, a larger sample size covering a longer time period is required.

6. There might be a correlation between these two variables because low income is associated with various stressors, such as financial hardship, inadequate housing, and poor health. These stressors, in turn, can lead to increased crime rates and other negative social outcomes. The correlation coefficient of 0.753 suggests that there may be three potential avenues of cause and effect between the two variables: (1) increased stress and hardship may lead to increased crime rates, (2) increased crime rates may lead to increased poverty, and (3) there may be some underlying factors that are causing both the increase in crime and poverty.

7. You cannot examine this relationship in an experimental study because it would be unethical to manipulate individuals' income levels or exposure to violence for the sake of a study. Furthermore, experimental studies cannot establish causation between variables, as there may be other uncontrolled factors that affect the relationship between variables.

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Answer:

B and D

Step-by-step explanation:

i took this test

The roots of the equation will be - 1 - √6 and - 1 + √6. Then the correct options are B and D.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The quadratic equation is given below.

x² + 2x - 5 = 0

The solution of the quadratic equation will be

x² + 2x - 5 = 0

Add 1 on both sides, then the equation will be

x² + 2x + 1 - 5 = 1

x² + 2x + 1 = 1 + 5

(x + 1)² = 6

Taking square root on both sides, then the equation will be

x + 1 = ±√6

    x = - 1 ±√6

Then the roots of the equation will be - 1 - √6 and - 1 + √6.

Then the correct options are B and D.

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(a) The series ΣAn from n = 1 to infinity is divergent and diverges to infinity. (b) The sequence {An} contains individual terms which can be calculated for specific values of n.

To determine the convergent or divergent behavior of the given sequence and series, let's dissect them using the expression: An = 8n / (-2n + 15)

(a) Finding the sum of the series ΣAn from n = 1 to infinity:

To determine the series ΣAn from n = 1 to infinity, we can observe its behavior as n approaches infinity. Let's consider the limit of the terms:

lim(n→∞) An = lim(n→∞) (8n / (-2n + 15))

Dividing numerator and denominator by n to disclose the limit

lim(n→∞) An = lim(n→∞) (8 / (-2 + 15/n))

As n approaches infinity,15/n goes to zero.

lim(n→∞) An = lim(n→∞) (8 / (-2 + 0))

The denominator becomes -2 + 0 = -2, and the limit becomes:

Lim(n→∞) An = 8 / -2 = -4

Since the limit of the terms is infinity (∞), the series ΣAn converges to -4.

(b) Finding the terms of the sequence {An}:

To generate the terms of the sequence {An}, we substitute different values of n into the expression.

Firstly, calculate a few initial terms of the sequence :

n = 1:

A1 = 8(1) / (-2(1) + 15) = 8 / 13

n = 2:

A2 = 8(2) / (-2(2) + 15) = 16 / 11

n = 3:

A3 = 8(3) / (-2(3) + 15) = 24 / 9

By putting different values of n into the expression, we can collect more terms of the sequence {An}.

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The correct question is given in the attachment .

Given:

A couple has seven children.

n(S)=49

a)

Let A be the event that they have all boys.

b)

Let B be the event that they have atleast one boy.

ANSWER

3 rotten apples

EXPLANATION

We know that Amber and Jacob have the same fraction of rotten apples in their bags.

Jacob's bag has 4 apples in total, of which 1 is rotten. Thus, the fraction of rotten apples he has is,

Amber has the same fraction in her bag, but she has a total of 4 apples. If n is the number of rotten apples in Amber's bag,

We have to find n so that n/12 equals 1/4.

Multiply both sides by 12,

So, Amber's bag has exactly 3 rotten apples