6.
6.NS.A.1
How many 1/6 pound servings are
there in 4/5 of a pound of chicken?

Work Shown:

y = 15.6 - 3.8x

y = 15.6 - 3.8*3

y = 4.2

Scatterplot: We can see that there is a linear relationship between length of courtship and length of marriage. The higher the courtship the longer the marriage.

A scatter chart is a graphical or mathematical plot for data that uses Cartesian coordinates to display the results of two variables, usually. An additional difference may occur if the content is encoded. The data is displayed as a collection of points, and at each point the value of one variable increases to determine the position on the horizontal axis, and the value among other variables determines the position of the vertical axis.

Scatter plots can be used when one continuous variable is under the experimenter's control and the other is independent of it, or when both continuous variables are independent. If there are increasing and/or decreasing processes, they are called uncontrolled or independent variables and are usually plotted along the horizontal axis. The index or dependent variable is usually plotted along the vertical axis. If there is no difference, you can plot the two variables on two axes, and the scatter plot shows the relationship (not the reason) between the two variables.

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Answer:

565656÷8=p

So the answer is 637:D

Answer:

Rate when price rises 20% = $36

Rate when price downs 20% = $24

Step-by-step explanation:

Given:

Current rate to mow = $30 per lawn

Find:

Rate when price rises 20%

Rate when price downs 20%

Computation:

Rate when price rises 20%

Rate when price rises 20% = Current rate to mow + 20%[Current rate to mow]

Rate when price rises 20% = 30 + 20%[30]

Rate when price rises 20% = 30 + 6

Rate when price rises 20% = $36

Rate when price downs 20% = Current rate to mow - 20%[Current rate to mow]

Rate when price downs 20% = 30 - 20%[30]

Rate when price downs 20% = 30 - 6

Rate when price downs 20% = $24

The term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.

Given,

In the question:

The quadratic sequence is :

3, 11, 25, 45, ...

To find the nth term of the quadratic sequence.

Now, According to the question;

The first term of the sequence is 3, the second term is 11, the third term is 25, and the fourth term is 45.

The difference between the first and second terms can be calculated as follows:

11-3 = 8

The difference between the second and third terms can be calculated as follows:

25-11 = 14

The difference between the third and fourth terms can be calculated as follows:

45-25 = 20

The sequence is expressed as follows:

3,3+8,11+11,25+20,...

The difference between consecutive terms expands by 6.

Use the principle of mathematical induction.

6\((\frac{n(n+1)}{2} )\)

= 3n(n+1)

The sequence's nth term can be calculated as follows:

term = 3n(n+1) - 4n + 1

             = 3n² - n + 1

Hence, the term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.

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Answer:

(-1,-9) PLEASE MARK BRAINLIEST!!!!!

Step-by-step explanation:

k(-4,-6) , m(-7,-3)

-7+4=-3

-3+6=3

-4+3=-1

-6-3=-9

(-1,-9)

The coordinate of L is  (-1,-9) if the k is the midpoint of LM and k (-4,-6) and M (-7,-3).

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

\(\rm Area = |\dfrac{(x_1y_2-y_1x_2)+(x_2y_3-y_2x_3)....+(x_ny_1-y_nx_1)}{2}|\)

It is given that:

if k is the midpoint of LM and k (-4,-6) and m(-7,-3).

It is required to find the coordinate of L:

Using the mid-point theorem:

Let the coordinate of L is (x, y)

(x - 7)/2 = -4

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

x - 7 = -8

x = -8 + 7

x = -1

(y - 3)/2 = -6

y - 3 = -12

y = -12 + 3

y = -9

The coordinate of L is  (-1,-9)

Thus, the coordinate of L is  (-1,-9) if the k is the midpoint of LM and k (-4,-6) and M (-7,-3).

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78. I got it correct. Hope you could give me Brainliest! Anyway, Based on the given conditions, formulate: 65÷56 Divide a fraction by multiplying its reciprocal:65×65Cross out the common factor:13×6

Calculate the product or quotient:78. Therefore, getting 78.

The answers are as follows:

(a) power output of the car when it is traveling at its maximum speed is 48,000 Watts.

(b) maximum acceleration of the car when it is traveling at a speed of 25 m/s is 0.625 m/s^2.

(a) The power output of the car when it is traveling at its maximum speed can be calculated using the formula P = Fv, where P is power, F is force, and v is velocity.

The resistance force experienced by the car is given as 30v Newtons. When the car is traveling at its maximum speed of 40 m/s, we can substitute this value into the formula:

P = (30v)(v) = 30v^2

Substituting v = 40 m/s into the equation, we get:

P = 30(40)^2 = 30(1600) = 48,000 Watts

Therefore, the power output of the car when it is traveling at its maximum speed is 48,000 Watts.

(b) To find the maximum acceleration of the car when it is traveling at a speed of 25 m/s, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a).

The resistance force experienced by the car is given as 30v Newtons, where v is the velocity. We can substitute v = 25 m/s into the equation:

F = 30v = 30(25) = 750 Newtons

Since F = ma, we can rearrange the equation to solve for acceleration:

a = F/m

Substituting the values, we get:

a = 750 N / 1200 kg = 0.625 m/s^2

Therefore, the maximum acceleration of the car when it is traveling at a speed of 25 m/s is 0.625 m/s^2.

(a) Power is the rate at which work is done or energy is transferred. In this case, the power output of the car represents the rate at which the car can overcome the resistance force and maintain its maximum speed. The formula P = Fv relates power to force and velocity. By substituting the given values, we can calculate the power output of the car when it is traveling at its maximum speed.

(b) The maximum acceleration of the car can be determined by considering the balance between the force applied by the car and the resistance force. Newton's second law, F = ma, states that force is equal to mass multiplied by acceleration. By rearranging the equation, we can solve for acceleration. In this case, the force is the resistance force experienced by the car, and the mass is given as 1200 kg. By substituting the values, we can calculate the maximum acceleration of the car when it is traveling at a speed of 25 m/s.

In summary, the power output of the car when it is traveling at its maximum speed is 48,000 Watts. This indicates the rate at which the car can overcome the resistance force. The maximum acceleration of the car when it is traveling at a speed of 25 m/s is 0.625 m/s^2, representing the car's ability to change its speed at that particular velocity.

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i) Based on the ratio of 3: 1: 4 , the number of bottles of strawberry syrup Vani has to buy is 4.

ii) Using the amount of strawberry syrup bought as calculated in part (i), the additional quantities of lemonade and carbonated water Vani has to buy in order to maintain the ratio of 3: 1: 4 are:

Ratio describes the relative size of one quantity when compared to another.

Ratios are fractional values, determined as the quotients of two values or quantities.

The total quantity of the fruit drink = 6 liters

The ratio of lemonade, strawberry syrup, and carbonated water = 3:1:4

The sum of ratios = 8 (3 + 1 + 4)

1 liter = 1,000 ml

6 liters = 6,000 ml

The quantity of strawberry syrup required = 750 ml (1/8 x 6,000)

The quantity of strawberry syrup in a bottle = 240 ml

i) The number of bottles to buy = 3.125 (750 ÷ 240)

Since Vani cannot buy 3.125 bottles of strawberry syrup, she has to buy more, which 4 bottles.

4 bottles = 960 ml (240 x 4)

Total quantity of liquid = 7,680 ml (960 ÷ 1/8)

ii) To maintain the ratio of lemonade, strawberry syrup, and carbonated water, the additional she has to buy include:

Lemonade:

Old quantity = 2.25 liters (6 x 3/8)

New quantity = 2.88 liters (7.68 x 3/8)

Difference = 0.63 liters or 630 ml

Carbonated Water:

Old quantity = 3 liters (6 x 4/8)

New quantity = 3.84 liters (7.68 x 4/8)

Difference = 0.84 liters or 840 ml

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Question Completion:

(ii) Using the amount of strawberry syrup bought as calculated in part (i), find how much more lemonade and carbonated water Vani has to buy in order to maintain the ratio of 3 : 1:4​

Which subject is it? and which lesson

The number of green and blue marbles is 54 and 198 respectively.

Ratio:

In Mathematics, the ratio contrasts two quantities by the method of division. In simple words, we can say that the simplified form of two quantities of the same units is mentioned as a ratio.

A ratio gives a relation that how many times one quantity is equal to the other quantity.  The symbol ':' denotes the ratio and the ratio will be expressed as a:b  

Here we have,

The ratio of green marbles to blue marbles is 3:11

Number of Marbles = 252  

Since the ratio of green to blue marbles is 3:11, Let 3x and 11x be the number of green and blue marbles respectively.

As we know the total number of marbles is 252

=> 3x + 11x = 252

=> 14x = 252

=> x = 252/14 = 18

=> Number of green marbles, 3x = 3(18) = 54

=> Number of blue marbles, 11x = 11(18) = 198

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Answer:

83

Step-by-step explanation:

100% is the total, the whole

Answer:

83

Step-by-step explanation:

You have 100%

change that to a decimal

you now have 1.00

multiply 83 by 1

you have 83

1) 1000 AA Batteries in one Case.

2) 10,000 AA Batteries in One carton.

3) 100,000 AA Batteries in 10 cartons.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The Store sells AA batteries in the order below:

⇒ 10 batteries in 1 packages

⇒ 10 packages in 1 box

⇒ 10 boxes in 1 case

⇒ 10 cases in 1 Carton

1) We want to determine how many AA batteries are in 1 Case;

Using Multiplication

Number of AA Batteries in 1 Case = 10 Batteries × 10 package × 10 box

                                                    = 1000 AA Batteries

2) We want to determine how many AA batteries are in 1 Carton;

From Part (a),

There are 1000 AA Batteries in 1 Case.

Since, There are 10 Cases in 1 carton.

Number of Batteries in 1 carton = 10 × 1000

                                                = 10,000 AA Batteries

3) 10 Cartons

⇒ 1 carton = 10000 AA Batteries

Therefore, We get;

⇒ 10 Cartons = 10 × 10000

                     = 100,000 AA Batteries

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If you reflect the rectangle across either the horizontal or the vertical line going straight through the middle, you will reflect it onto itself (see image).

The equation for the horizontal line is y = -1. The equation for the vertical line is x = -1.

$1.50 for each box

Step-by-step explanation:

$18 divided by 12 boxes = $1.50 for each box

Homoskedasticity and heteroskedasticity are terms used to describe the variability of errors in a multiple linear regression model.

To check for heteroskedasticity in a multiple linear regression model, there are several diagnostic tests and graphical methods that can be used: Residual plot, Breusch-Pagan test, White's test, Goldfeld-Quandt test,

Homoskedasticity refers to a situation where the variance of the errors (residuals) is constant across all levels of the independent variables. This means that the spread of the residuals is the same throughout the range of predicted values. In other words, the variability of the errors is consistent and does not change systematically.

Heteroskedasticity, on the other hand, occurs when the variance of the errors is not constant across all levels of the independent variables. In this case, the spread of the residuals tends to vary as the predicted values change. Heteroskedasticity implies that the variability of the errors is not consistent and may exhibit patterns or trends.

To check for heteroskedasticity in a multiple linear regression model, there are several diagnostic tests and graphical methods that can be used: Residual plot, Breusch-Pagan test, White's test, Goldfeld-Quandt test,

Residual plot: Plotting the residuals against the predicted values or the independent variables can reveal patterns or trends in the spread of the residuals. If the spread of the residuals appears to fan out or there is a clear pattern, it suggests the presence of heteroskedasticity.

Breusch-Pagan test: This is a statistical test that formally tests for heteroskedasticity in the residuals. The test assesses the relationship between the squared residuals and the independent variables. If the test result is statistically significant, it indicates the presence of heteroskedasticity.

White's test: Similar to the Breusch-Pagan test, White's test also examines the relationship between the squared residuals and the independent variables. It is another statistical test commonly used to detect heteroskedasticity in regression models.

Goldfeld-Quandt test: This test divides the data into two groups based on a selected independent variable and compares the variances of the residuals between the two groups. If the variances significantly differ, it suggests the presence of heteroskedasticity.

By conducting these tests and examining the graphical plots, one can assess whether heteroskedasticity is present in the multiple linear regression model. If heteroskedasticity is detected, it may be necessary to address the issue by using heteroskedasticity-robust standard errors, transforming variables, or considering alternative regression techniques designed to handle heteroskedastic data.

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Step-by-step explanation:

x^2-6x-6x+36=0

x(x-6)-6(x-6)=0

(x-6)(x-6)=0

x=6

Step-by-step explanation:

Angle A = Angle B

so , Angle A = 38°

Answer:

5/3

Step-by-step explanation:

30/t = 18/r

Multiplying by r both sides,

30*r /t = 18

Dividing by 30 both sides,

r/t = 18/30 = 3/5

So, t/r = 5/3

9514 1404 393

Answer:

  t/r = 5/3

Step-by-step explanation:

Every proportion can be written 4 ways. I like to think of them as "upside down and sideways." They are ...

  \(\dfrac{30}{t}=\dfrac{18}{r}\qquad\dfrac{t}{30}=\dfrac{r}{18}\\\\\dfrac{30}{18}=\dfrac{t}{r}\qquad\dfrac{18}{30}=\dfrac{r}{t}\)

__

Knowing this, you can simply rewrite your proportion as ...

  t/r = 30/18

  t/r = 5/3

_____

More formally, you could multiply both sides by t/18:

  (30/t)(t/18) = (18/r)(t/18)

  30/18 = t/r . . . . as above

Reducing the fraction gives ...

  t/r = 5/3

__

Additional comments

The usually-recommended procedure for solving something like this is to "cross-multiply" as a first step. That will give ...

  30r = 18t

Of course, that is equivalent to multiplying both sides by rt, the product of the denominators.

From here, to get t/r, you need to divide both sides by 18r.

  (30r)/(18r) = (18t)/(18r)

  30/18 = t/r

The combination of the two steps, multiply by rt, divide by 18r, is equivalent to multiplying by (rt)/(18r) = t/18, as we did above. That is, you can save some work by doing both steps at once--or by simply rewriting the proportion.

Answer:\(\frac{1}{15}\)

Step-by-step explanation:

Given

There are

4 country music CD

1 rock and roll CD

2 rap CD

3 Tejano CD

\(\text{Probability that Jerry randomly select a Tejano CD and then a rap CD from his case}=\text{Probability of selecting a Tejano CD}\times \text{Probability of selecting a rap CD}\)

\(P=\frac{3}{10}\times \frac{2}{9}\)

\(P=\frac{2}{30}\)

\(P=\frac{1}{15}\)

Answer:

try D

Step-by-step explanation:

it's the closest I could get on Desmos

Answer:

D.

Step-by-step explanation:

Find the degree of the equation to determine if linear.

Linear

Answer:

mean = 3

Step-by-step explanation:

The mean of a data set is the average of all the elements in the set. This can be calculated using the formula:

\(\text{mean} = \dfrac{\text{sum of elements}}{\text{number of elements}}\)

From the bar graph, we can determine the total number of elements in the data set by counting the number of Xs.

We can see that there are 11 elements in the data set.

We can also determine the number of Xs for each number of times that a person played mini-golf last summer:

0, 1, 2, (5 × 3), 4, 5, 6

Now, we can plug these values into the above formula to calculate the mean.

\(\text{mean} = \dfrac{0+1+2+5(3) + 4 + 5 + 6}{11}\)

\(\text{mean} = \dfrac{33}{11}\)

\(\boxed{\text{mean} = 3}\)

Answer: (3, -7) and (3, -1)

Step-by-step explanation:

Distance formula: a^2 + b^2 = c^2

c is the distance between different points which is 5 in this case

a=3-(-1)

a=3+1

a=4 ==> distance between x-coordinates

4^2+b^2=5^2

16+b^2=25

b^2=9

b=3

Distance from -4 and y-coordinate of a different point is equaled to 3.

How to express this in the form of an equation?

|-4-y|=3    ==> where y is the y-coordinate of a different point

-4-y=3

-4+4-y=3+4

-y=7

y=-7  ==> (3, -7)

-4-y=-3

-4+4-y=-3+4

-y=1

y=-1  ==> (3, -1)

(3, -7) and (3, -1)

Answer:

13√ 2

Step-by-step explanation:

√ 26*(26/2)

=√ 26*13 = √ 338 = 13√ 2

The length of the segment  cut from the line by the two other sides of the triangle is \(13\sqrt{2\)

The length of the side is given as:

L= 26 inches

The length (d) of the line that divides the segment is calculated as:

\(d = \sqrt{(L/2)^2 + (L/2)^2\)

So, we have:

\(d = \sqrt{(26/2)^2 + (26/2)^2\)

Evaluate the quotients

\(d = \sqrt{13^2 + 13^2\)

Rewrite the expression as:

\(d = \sqrt{13^2* 2\)

Take the square root

\(d = 13\sqrt{2\)

Hence, the length of the segment is \(13\sqrt{2\)

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Here, given the linear equation, we want to select which of the options can correctly be modeled by the given equation

As we can see from the equation, the cost $25 represents a fixed cost, while 3 multiplied by x is based on a certain recurring amount

Thus, we can have our answer here as;

A rental car costs a one-time fee of $25 plus $3 for each hour

The $25 is the fixed cost, while the other amount that adds to it is dependent on the number of hours for which the car was driven

an equation showing a way to estimate to the neasrt inch the total rainfall for the two day 2.45 + 1.72 ≈ 4.2 inches

1. Add the two amounts of rainfall together: 2.45 + 1.72

2. Round the answer to the nearest inch: 4.2 inches

3. The equation to estimate the total rainfall for the two days is 2.45 + 1.72 ≈ 4.2 inches.

This equation provides a simple way to estimate the total rainfall for two days. By adding the two amounts of rainfall, we can then round the answer to the nearest inch to obtain the estimated total rainfall. This equation can be used to quickly and accurately estimate rainfall totals for any two-day period.

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Mark is 12 years old now,in 4 years time he will be 16.

Let Mark's present age be m years and Jane's present age be n years.

10 years ago, Jane was twice as old as Mark is now.

So, we get an equation

n - 10 = 2m               ...........(1)

In two years Jane will be three times as old as Mark is now.

So, we get an equation

n + 2 = 3m                   ............(2)

We need to find Mark's age after 4 years.

From equation (1),

n = 2m + 10                 .........(3)

Substitute the value of n in equation (2),

(2m + 10) + 2 = 3m

2m + 12 = 3m

m = 12

After 4 years Mark's age would be,

m + 4 = 12 + 4

         = 16 years

Therefore, in 4 years time Mark will be 16.

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