what is the distance between -4 and -9 on a number line ​

The answer is 231 inches.

To understand how we arrive at this answer, let's break down the given measurement step by step. We have 6 yards, 3 feet, and 7 inches.

Starting with yards, we know that 1 yard is equal to 3 feet, so 6 yards would be equivalent to 6 * 3 = 18 feet. Adding the 3 feet given, we have a total of 18 + 3 = 21 feet.

Moving on to inches, we know that 1 foot is equal to 12 inches. So, the 21 feet we calculated earlier would be equal to 21 * 12 = 252 inches. Finally, adding the 7 inches given, we get a total of 252 + 7 = 259 inches.

Therefore, 6 yards 3 feet 7 inches is equal to 259 inches.

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The bearing of point X from point Z is 285°

From the question, we are to determine the bearing of point X from point Z.

Consider the diagram attached

The bearing of point X from point Z is the measure of the angle from the North of Z in the clockwise direction to the line that goes to X.

That is,

The bearing of point X from point Z = 270° + 15°

The bearing of point X from point Z = 285°

Hence, the bearing of point X from point Z is 285°

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Answer:

204.14

Step-by-step explanation:

340.24 km in 5 days is 68.05 km a day, multiply by 3 to get total km in 3 days

The fraction of blue marble in the jar is [(1/2)x]/ (x+3) where x+3 is the total marbles.

This question involves basic arithmetic and fractions.

We know that a fraction means a part of a whole. It is of the form a/b where b is not equal to zero and a, b are numbers.

Now, here let the total number of marbles in the bar is x .

Then , the number of blue marbles is (1/2)x i.e. 1/2 of x.

Now, if three black marbles are added to the jar, the total number of marbles = x + 3.

So, fraction of blue marble in the jar = (no. of blue marble)/(no. of total members)

= [(1/2)x]/ (x+3).

Thus, the fraction of blue marble in the jar is [(1/2)x]/ (x+3) where x+3 is the total marbles.

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Answer:

Step-by-step explanation:

20=16−b−15

20=1−b

b= -19

Answer:

-9

Use papa math for all your hard equations (not sponsored)

The probability that student chosen at random is 16 years is 0.28.

The table shows the distribution of student by age in a high school with 1500 students. Therefore, the probability that randomly chosen student is  16 years can be found as follows:

Therefore,

probability = number of favourable outcome to age / total number of possible outcome

Hence,

probability that student chosen at random is 16 years =  420 / 150

probability that student chosen at random is 16 years = 0.28

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I'll do the first one to get you started.  

Find the slope of the line between R (6,-2) and S (-1,8) to get

m = (y2-y1)/(x2-x1)

m = (8-(-2))/(-1-6)

m = (8+2)/(-1-6)

m = 10/(-7)

m = -10/7

The slope of line RS is -10/7

Next, we find the slope of line DF

m = (y2 - y1)/(x2 - x1)

m = (4-11)/(11-(-1))

m = (4-11)/(11+1)

m = -7/12

From here, we multiply the two slope values

(slope of RS)*(slope of DF) = (-10/7)*(-7/12)

(slope of RS)*(slope of DF) = (-10*(-7))/(7*12)

(slope of RS)*(slope of DF) = 10/12

(slope of RS)*(slope of DF) = 5/6

Because the result is not -1, this means we do not have perpendicular lines here. Any pair of perpendicular lines always has their slopes multiply to -1. This is assuming neither line is vertical.

I'll let you do the two other ones. Let me know what you get so I can check your work.

Answer:

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of x

We use cosine to find the value of x

That's

\( \cos(45) = \frac{1}{x} \\ x \cos(45) = 1 \\ x = \frac{1}{ \cos(45) } \\ \\ \\ \boxed{ x = \sqrt{2} }\)

Hope this helps you

Hope this helps you

Answer:

the answer is #2-62.5%

Step-by-step explanation:

The correct statement among the given options is A. "Research cannot use both qualitative and quantitative methods in a study."

This statement is not correct because research can indeed use both qualitative and quantitative methods in a study. Qualitative research focuses on collecting and analyzing non-numerical data such as observations, interviews, and textual analysis to understand phenomena in depth. On the other hand, quantitative research involves collecting and analyzing numerical data to derive statistical conclusions and make generalizations.

Many research studies employ a mixed methods approach, which combines both qualitative and quantitative methods, to provide a comprehensive understanding of the research topic. By using both qualitative and quantitative data, researchers can gather rich insights and statistical evidence, allowing for a more comprehensive analysis and interpretation of their findings.

Therefore, option A is the statement that is not correct concerning qualitative and quantitative research.

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Answer:

10x+7y≥300

Step-by-step explanation:he wants to make at least 300 so he can make 300 or more so the answer has to be greater than 300

The inequality 10 x + 7 y ≥ 300 shows the number of tickets that must be sold to make at least $300.

Inequality shows relation between two expression which are not equal to each others.

Given that,

The cost of ticket for an adult = $10,

And cost of ticket for a child = $7.

Total amount that owner of theater wants to make = $300.

Let the number of adults are x and number of children are y.

The inequality for the number of tickets that must be sold can be written as,

The price of x tickets for adults = 10x

And price of y tickets for children = 7y

The inequality that shows the amount is less than $300,

10 x + 7 y ≥ 300

The required inequality is 10 x + 7 y ≥ 300.

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Answer:

The box is 8 feet long.

Step-by-step explanation:

1 inch = 2 feet.

Multiply 4 by 2.

4×2=8

I multiplied 4 by 2 because 1-inch equals 2 feet, which means if we multiply both terms by 4, you will get 4 inch = 8 feet.

Hope this helps!

Analyzing this situation, it is correct to say that the legislative body would not have sociological representation, because the composition of the legislature does not have the effective proportion of individuals representing the residents of the state.

It corresponds to the representation of the members of a certain group and community and their participation in the formation of social institutions that form the basis of the system of beliefs, practices and social values.

Therefore, through the calculation of the proportion in relation to the data of the question, it can be seen that the legislative body does not have the sociological representation of the state.

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In order to find how many drops Mark has left, we must subtract the initial amount he had at the beginning and the amount he gave away.

make both as a common denominator fraction

simplify

he has 4/3 drops of nectar left.

The helicopter traveled approximately 175.5 miles east and 299.1 miles south.

Let's say the building is located at point A and the helicopter travels to point B. We know that the bearing of B from A is 558°e, which means the angle formed by the line AB and the east direction is 558°.

Next, we can use trigonometry to find the horizontal and vertical components of the distance traveled. Let x be the horizontal distance (in miles) traveled by the helicopter and y be the vertical distance (in miles) traveled. We can then use the following equations:

cos(558°) = x / d

sin(558°) = y / d

where d is the total distance traveled (in miles). We can also use the formula:

d = r * t

where r is the speed of the helicopter (100 mph) and t is the time taken for the flight (3.8 hours). Substituting this into the first two equations, we get:

x = d * cos(558°)

y = d * sin(558°)

d = r * t = 100 * 3.8 = 380 miles (rounded to the nearest mile)

Substituting the values of d and the angle into the equations for x and y, we get:

x = 380 * cos(558°) ≈ -175.5 miles

y = 380 * sin(558°) ≈ 299.1 miles

Note that the negative sign for x indicates that the helicopter traveled west, not east. We can take the absolute value of x to get the distance traveled east:

|x| ≈ 175.5 miles

Therefore, the helicopter traveled approximately 175.5 miles east and 299.1 miles south.

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Answer: B.) x ≥ -6

Step-by-step explanation:

Answer:

CA = 22.6 ft

Step-by-step explanation:

For the known angle A, leg CA is the adjacent leg.

Side AB is the hypotenuse.

The trigonometric ratio that relates the adjacent leg tot eh hypotenuse is the cosine.

cos A = adj/hyp

cos 41° = CA/(30 ft)

CA = 30 ft * cos 41°

CA = 22.6 ft

The material remained for the blanket after trimming off by Keith is 2.5 yards.

Simple subtraction and multiplication can provide the result. Beginning will be by the multiplication. Firstly finding the exact amount of material trimmed = 3×1/6

Performing multiplication and division on Right Hand Side of the equation

Trimmed material = 1/2 or 0.5

Now, we need to subtract the trimmed material from overall amount of material

Remaining material = 3 - 0.5

Performing subtraction on Right Hand Side of the equation

Remaining material = 2.5 yards

Hence, 2.5 yards of material remained.

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The maximum number of people that could be helped with one plane of supplies is 40,000.

To determine the maximum number of people that can be helped, we need to consider the weight and volume constraints of the plane. Each food kit helps 10 people and weighs 20 pounds, while each medicine kit helps B people and weighs 10 pounds. The weight constraint of the plane is 80,000 pounds, and the volume constraint is 6,000 cubic feet.

To optimize the usage of weight and volume, we need to find the combination of food kits and medicine kits that maximizes the number of people helped. Since each food kit and medicine kit has a weight of 20 pounds and 10 pounds respectively, we can calculate the maximum number of kits based on the weight constraint. The maximum number of food kits is 80,000 pounds / 20 pounds = 4,000 kits. Similarly, the maximum number of medicine kits is 80,000 pounds / 10 pounds = 8,000 kits.

Next, we consider the volume constraint. Since each kit occupies 1 cubic foot of volume, the maximum number of kits based on volume is 6,000 cubic feet.

To determine the maximum number of people helped, we need to find the minimum value between the maximum number of food kits and the maximum number of medicine kits. In this case, the minimum value is 4,000 kits. Therefore, the maximum number of people helped is 4,000 kits * 10 people per kit = 40,000 people.

Thus, the maximum number of people that could be helped with one plane of supplies is 40,000.

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#Complete Question:- During a war, alios sent food and modical kis to help survivors. Each food kit helped 10 people and each medicino kit heiped B peoplo. Each plare could carry no more than e0,000 pounds. Each lood kit weighed 20 pounds and each modicine hit weighed 10 pounds. In addition to the weight constraint on iss cargo, each plane could camy a fotal volume of supples that did not exceed 6000 cubic feet. Each food kit was 1 cubic foot and each modical ki also had a volume of 1 cubic foot. Assume that those heiped by medicine kits were not helped by the food kets and vice verse. What was the maximum number of people that could be helped which one plane of supplies? The maxmum number of peopie that could be heiped was people. (Type a whole number.)

Answer:

75

Step-by-step explanation:

In triangle LMN, with LM = 10 cm, MN = 6 cm, and LMN = 90°, X and Y are the midpoints of MN and LN, respectively.

The lengths of YXN and YNX can be determined using the properties of midpoints and triangles. YXN is equal to half the length of MN, which is 3 cm. YNX is equal to half the length of LN, which is half the length of LM, resulting in YNX = 5 cm.

In triangle LMN, since X is the midpoint of MN, YX is equal to half the length of MN. Therefore, YX = 6 cm / 2 = 3 cm.

Similarly, Y is the midpoint of LN. As per the properties of midpoints, the segment LN can be divided into two equal parts, and YNX is one of those parts. Since LN is equal to LM, YNX is half the length of LM, which is 10 cm / 2 = 5 cm.

Hence, YXN is 3 cm and YNX is 5 cm in triangle LMN.

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The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.

To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.

Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:

X=2, Y=1, Z=1

X=2, Y=1, Z=2

X=2, Y=2, Z=1

Step 2: Calculate the joint probability for each combination:

For X=2, Y=1, Z=1:

f(2, 1, 1) = (2+1) * 1 = 3

For X=2, Y=1, Z=2:

f(2, 1, 2) = (2+1) * 2 = 6

For X=2, Y=2, Z=1:

f(2, 2, 1) = (2+2) * 1 = 4

Step 3: Sum up the joint probabilities:

P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13

They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.

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The tree should be 22.5 feet tall in the mural.

To determine the height of the tree in the mural, we can set up a proportion based on the scale ratio between Devon's height and the height of the tree.

Let's denote the height of the tree in the mural as 'x'.

According to the given information:

Devon's actual height: 6 feet

Devon's height in the mural: 4.5 feet

Tree's actual height: 30 feet

Setting up the proportion:

(Devon's height in the mural) / (Devon's actual height) = (Tree's height in the mural) / (Tree's actual height)

Substituting the given values:

4.5 feet / 6 feet = x / 30 feet

To solve for 'x', we can cross-multiply:

4.5 feet * 30 feet = 6 feet * x

135 feet = 6x

Divide both sides by 6:

x = 135 feet / 6

Simplifying the division:

x = 22.5 feet

Therefore, in the painting, the tree should stand 22.5 feet tall.

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Answer:

To find if the difference is statistically significant, we'll find the p-value and compare it to the significance level. If it's smaller, then it's significant.

On a graphing calculator, I conducted a 2-Proportion Z-test. It resulted in zTest_2Prop 643,1046,804,1315,0: stat.results and the p-value is shown as around 0.869485.

Since 0.869 > 0.05, the difference in the sample proportions is not statistically significant.

Answer:

f(x) = 4x + 3

Step-by-step explanation:

plug in some x values to test:

4(0) + 3 = 0 + 3 = 3

4(3) + 3 = 12 + 3 = 15

4(6) + 3 = 24 + 3 = 27

it checks out

Answer:

It would be the last one

Step-by-step explanation:

here are the coirdantes:

0-3

3-15

6-27

9-39

So if u try the first one

f(x)=x+3

3(1)=3

3+3=9

So it does not work

The second choice:

f(x)=-4x-3

3(-4)

-12-3=-15

It does not work

The third choice:

f(x)=1/4x+3

3(1/4)=3/4

3/4+3=3 3/4

The last one:

f(x)=4x+3

9(4)=36

36+3=39

As you can see the last one works

I hope this helped :D

(Fyi you can use your graphing calculator: (Ti-38))

To gather information about the management practices and type of farm the farmer manages, it is important to ask questions about the milking process, animal preparation for milking, facility type and management, and the overall care each animal receives.

To assess the management practices and type of farm, it is crucial to inquire about the milking process. Questions may include the frequency and duration of milking sessions, whether it is done manually or with automated milking machines, and the cleanliness and hygiene practices during milking. Understanding how animals are prepared for milking is also important, such as the methods used for udder cleaning and stimulation.

Regarding the facility, it is essential to inquire about the type of milking parlor or barn used. This includes determining if it is a tie-stall or free-stall system, the ventilation and temperature control measures in place, and the overall cleanliness and maintenance of the facility. Additionally, it is relevant to ask about the presence of any mastitis prevention protocols, such as regular udder health checks and the use of teat dips or other preventive measures.

Furthermore, gathering information about the care each animal receives is crucial. Questions may focus on the cow's nutrition and diet, access to clean water, and general health management practices, including vaccinations and regular veterinary check-ups. Additionally, understanding the herd size and cow density within the facility can provide insights into the overall management practices.

By addressing these aspects, the veterinarian can gather valuable information about the farmer's management practices and the type of farm he manages, which will aid in diagnosing and addressing the mastitis issue and potentially improving the overall health and productivity of the cows in the long term.

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The line of best fit can be used to make predictions about the response variable based on the predictor variables. It can also be used to identify correlations between variables, as well as to estimate the strength of those correlations.

A. Line of Best Fit

A regression line is a statistical tool used to predict the value of a response variable based on the value of one or more predictor variables. It is also known as a line of best fit because it is used to show the best fit of a given data set. The line of best fit is a straight line that best represents the data by minimizing the sum of the squared distances between the observed data points and the line. The line of best fit can be used to make predictions about the response variable based on the predictor variables. It can also be used to identify correlations between variables, as well as to estimate the strength of those correlations.

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Answer:

∠ C = 25°

Step-by-step explanation:

the sum of the 3 angles in a triangle is 180°

sum the 3 angles and equate to 180°

30° + 125° + ∠ C = 180°

155° + ∠ C = 180° ( subtract 155° from both sides )

∠ C = 25°

Answer:

We all know that the sum of a polygon with 3 sides(triangle) is 180.

therefore A + B + C = 180 (now u can substitute)

30 + 125 + C = 180

155 + C = 180

155 - 155 + C = 180 - 155         (subtract 155 both sides)

C = 25

Step-by-step explanation:

Answer:

it's C because the slopes are the same but the y intercepts are different