Question 5 Bounds, Please answer ASAP ​

Question 5 Bounds, Please Answer ASAP

Answers

Answer 1

a. The reason is that John calculated the area using the upper bound for the radius of the inner circle

b. k = 51

What is the upper and lower bound of a value?

The upper and lower bound are used to describe the range of possible values of a quantity that is known to be exactly within a certain range.

The radius of the outer circle, R = 15.8 cm

Radius of the inner circle = 14.2 cm

The minimum possible diameter of the inner circle can be calculated using the lower bound for the radius of the inner circle as follows;

The lower bound for radius of the inner circle = 14.15 cm

Therefore, the minimum possible diameter is; 14.15 cm + 14.15 cm = 28.30 cm

The minimum possible diameter of the inner circle specified by John = 28.35 cm

Therefore, John is wrong because he calculated the minimum possible diameter of the inner circle using the upper bound for the radius of the circle.

b. The upper bound for the area of the shaded region, A, can be found from the difference of the upper bound of the area of the larger circle with radius R, and the lower bound of the area of the inner circle with radius r as follows;

A = (15.85² - 14.15²) × π = 51·π

Therefore, the value of k in the expression for the upper bound of the area of the shaded region is; k·π = 51·π

k = 51

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Related Questions

-6>-8 is the statement true or false

Answers

Answer:

True

Step-by-step explanation:

True.

When comparing two negative numbers the smaller number is closer to zero. The closer to zero a negative number is the larger the value, so -6 is greater then -8

help me please please ​

help me please please

Answers

Answer: 11.76

Step-by-step explanation:  you have to divide by 12 everything and multiply by 6 and you can get the answer

In a survey of 1899 adults, 32% responded "yes" to the survey question.

How many adults answered "yes"? (round to the nearest whole person as needed)

Answers

Answer:

608

Step-by-step explanation:

1899*0.32= 607.68

But you can't have .68 of somebody, so round to 608

Jeremy needs more soap. He buys 12 bags of soap for 5 dollars. Each bag of soap has x number of bars inside. How many bars of soap does Jeremy have?

Answers

Step-by-step explanation:

\(1 \: bag \: has \: x \: bars \\ 12 \: bags \: will \: have \: \frac{12 \times x}{1} \\ = 12x \: bars\)

Show that the Markov chain of Exercise 31 is time reversible. 31. A certain town never has two sunny days in a row. Each day is classified as being either sunny, cloudy (but dry), or rainy. If it is sunny one day, then it is equally likely to be either cloudy or rainy the next day. If it is rainy or cloudy one day, then there is one chance in two that it will be the same the next day, and if it changes then it is equally likely to be either of the other two possibilities. In the long run, what proportion of days are sunny? What proportion are cloudy?

Answers

The proportion of days that are rainy is π (R) = 1/3.

The Markov chain for Exercise 31 is time-reversible if and only if it satisfies the condition of detailed balance.

Detailed balance implies that the product of the probabilities of each transition from one state to another in the forward and reverse directions is equal.

That is, for all states i, j,

Pijπi = Pjiπj

Here, the detailed balance equations for the given Markov Chain are:

π (S)P (S,C) = π (C)P (C,S)

π (S)P (S,R) = π (R)P (R,S)

π (C)P (C,S) = π (S)P (S,C)

π (C)P (C,R) = π (R)P (R,C)

π (R)P (R,S) = π (S)P (S,R)

π (R)P (R,C) = π (C)P (C,R)

By solving the above equations, we can find the probability distribution π as follows:

π (S) = π (C) = π (R)

= 1/3

In the long run, the proportion of days that are sunny is π (S) = 1/3.

And the proportion of days that are cloudy is also π (C) = 1/3.

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in the united states, according to a 2018 review of national center for health statistics information, the average age of a mother when her first child is born in the u.s. is 26 years old. a curious student at cbc has a hypothesis that among mothers at community colleges, their average age when their first child was born is lower than the national average. to test her hypothesis, she plans to collect a random sample of cbc students who are mothers and use their average age at first childbirth to determine if the cbc average is less than the national average. use the dropdown menus to setup this study as a formal hypothesis test. [ select ] 26 [ select ] 26

Answers

To set up this study as a formal hypothesis test, the null hypothesis (H0) would be that the average age of first childbirth among mothers at community colleges (CBC) is equal to the national average of 26 years old.

The alternative hypothesis (Ha) would be that the average age of first childbirth among CBC mothers is lower than the national average.
The next step would be to collect a random sample of CBC students who are mothers and determine their average age at first childbirth. This sample would be used to calculate the sample mean.
Once the sample mean is obtained, it can be compared to the national average of 26 years old. If the sample mean is significantly lower than 26, it would provide evidence to reject the null hypothesis in favor of the alternative hypothesis, supporting the student's hypothesis that the average age of first childbirth among CBC mothers is lower than the national average.
The student plans to conduct a hypothesis test to determine if the average age of first childbirth among mothers at CBC is lower than the national average.

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Five students took a quiz. The lowest score was 4, the highest score was 6, the average (mean) was 5.2, and the mode was 6. A possible set of scores for the students is:

Answers

A possible set of scores for the students is: 4, 4, 6, 6, 6

How to solve the measures of Central Tendencies?

We are given that five students took the quiz. If the lowest score is 4 and the highest score is 6, we can say that the set of values ​​can be expressed as:

4, x, y, z, 6

Here we can see that the mode is 6 and the mean is 5.2. Therefore, at least one other student of hers has scored her 6, which could result in:

4, x, y, 6, 6

Therefore:

(4 + x + y + 6 + 6)/5 = 5.2

16+x+y=26

x + y = 10

So the other two numbers are probably 6 and 4, because 6 is the mode, so they can't both be 5.

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There are five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test. What are they?
Write one assumption. (from the following)
Each population from which a sample is taken is assumed to be uniform.
Each sample is assumed to be uniform.
Each population from which a sample is taken is assumed to be normal.
Each sample is assumed to be normal.

Answers

The correct option is (d) i.e. one of the basic assumptions is Each sample is assumed to be normal.

What is ANOVA test?

ANOVA stands for Analysis of Variance. It is a statistical test used to analyze the differences between two or more groups of data. ANOVA tests whether the means of the groups are significantly different from each other.

The correct option is (d).

Each population from which a sample is taken is assumed to be normal. This is one of the five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test. The other assumptions include:

Homogeneity of variance: The population variances are assumed to be equal for all groups.

Independence: The samples are assumed to be independent of each other.

Random sampling: The samples are assumed to be selected at random from their respective populations.

Interval or ratio data: The data being analyzed is assumed to be measured on an interval or ratio scale.

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the tribe is the oldest sociopolitical type; the tribe predates the state

Answers

The statement that "the tribe is the οldest sοciοpοlitical type; the tribe predates the state" is a widely accepted view in anthrοpοlοgy and archaeοlοgy.

What does the statement mean?

It suggests that human sοcieties evοlved frοm smaller, kinship-based grοups knοwn as tribes befοre transitiοning tο larger, centralized fοrms οf pοlitical οrganizatiοn knοwn as states.

Tribes are characterized by a clοse-knit sοcial structure based οn kinship ties, with members sharing cοmmοn ancestry and οften living in smaller, decentralized cοmmunities. Tribal sοcieties typically have egalitarian sοcial structures, with leadership based οn kinship οr achieved status rather than fοrmal hierarchical systems.

As human sοcieties evοlved, sοme tribes eventually develοped intο states, which are characterized by centralized pοlitical authοrity, fοrmal legal systems, and defined territοrial bοundaries. States οften have mοre cοmplex sοcial hierarchies, specialized institutiοns, and a mοnοpοly οn the use οf fοrce.

The transitiοn frοm tribes tο states is believed tο have οccurred gradually οver thοusands οf years, as human pοpulatiοns grew and interactiοns between grοups increased. The emergence οf agriculture, surplus prοductiοn, and the need fοr larger-scale gοvernance are οften cited as factοrs cοntributing tο the develοpment οf states.

While the specific timeline and prοcesses οf this transitiοn are still subjects οf οngοing research and debate, it is generally accepted that tribal sοcieties predate the develοpment οf states in human histοry.

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rationalization
\( \frac{6}{ \sqrt{3} } \)

Answers

Answer:

2√3

Step-by-step explanation:

To rationalize, we multiply the denominator and numerator by the surd at the base

We have it that;

6/√3 * 1

= 6/√3 * √3/√3

= 6 √3/3 = 2√(3

Two easy seventh grade problems, please help !

Two easy seventh grade problems, please help !

Answers

Answer: Step-by-step explanation:

#1.         +4.9       +4.9

             m/2.8 = _____

              *2.8       *2.8           Multiply both by 2.8

   Calculate the answer this is your work after all!!!                

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Is there a solution YES OR NO AND WHAT IS THE SOLUTION? PLS DO IT IN POINT FORM!!

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS

Answers

Point Form:
(2,5)

x=2, y=5

Answer:

(1.3)(2.5)(3.7)(4.9)(5.11)

(1.1)(2.5)(3.9)(4.13)(5.17)

A flower garden measures 14cm by 20cm. There is a path 2m wide all round it. Find the area of the path.​

Answers

Answer:

152 m²

Step-by-step explanation:

Area of flower garden

Assuming the flower garden is rectangular and its dimensions are measured in meters:

width of garden = 14 mlength of garden = 20 m

\(\begin{aligned}\textsf{Area of a rectangle} & = \sf width \times length\\\implies \textsf{Area of flower garden} & = \sf 14 \times 20\\& = \sf 280\:\:m^2 \end{aligned}\)

Total area of path and garden

If there is a 2 m wide path all around the garden, the dimensions of the total area will be the dimensions of the garden extended by 4 m:

width = 14 m + 2 m + 2 m = 18 mlength = 20 m + 2 m + 2 m = 24 m

\(\begin{aligned}\textsf{Area of a rectangle} & = \sf width \times length\\\implies \textsf{Total area} & = \sf 18 \times 24\\& = \sf 432\:\:m^2 \end{aligned}\)

Area of path

To calculate the area of the path, subtract the area of the garden from the total area:

\(\begin{aligned}\implies \textsf{Area of path} & = \sf Total\:area-Area\:of\:garden\\& = \sf 432-280\\& = \sf 152\:\:m^2 \end{aligned}\)

A flower garden measures 14cm by 20cm. There is a path 2m wide all round it. Find the area of the path.

how do you tell someone u like them???????????????????????

Answers

Text them and start off casual like “Hey” if they take like hours to respond it’s not even worth telling them but if they respond fast tell them if they reject it just tell them its a dare. And if you want to tell them in person tell them alone because if you tell them when they’re with there friends there probably gonna act different around you and most of the time reject you.

Answer:

Be kind, be yourself, and make friends with their friends so you can hang out with them and he/she/your crush will think you are nice and your crush's friends will talk good about you. and how you tell them is- "Hey, so I have to talk to you, can we go somewhere private? Um...I have a crush on you... it's okay if you don't feel the same way." And after that just see if they like you back!

Step-by-step explanation:

A kangaroo hops 9 kilometers in 3 minutes. at this rate how far does the kangaroo travel in 2 minutes

Answers

Answer: If a kangaroo hops 9km in 3 minutes, that means he runs 3km every minute, which we can multiply by 2 in order to get 6km in the first 2 minutes. [EXTRA: In one hour, the kangaroo can hop 180km, which means his top speed is 180km/h without accounting for fatigue]

Step-by-step explanation: a

On a true-false test of 100 items, every question that is a multiple of 4 is true, and all others are false. If a student marks every item that is a multiple of 3 false and all others true, how many of the 100 items will be correctly answered?

Answers

The number of items that will be correctly answered is 25 + 42 = 67.

How many of the 100 items are multiples of 4? To do so, we divide 100 by 4 and get 25 as the quotient. Therefore, we can conclude that there are 25 questions which are multiples of 4.

Also, we know that the student marks every item that is a multiple of 3 as false and all others as true. So, we need to find out how many multiples of 3 are there.

To do so, we divide 100 by 3 and get 33 as the quotient. Therefore, there are 33 questions that are multiples of 3.

Now, we can use the formula below to determine the number of questions answered correctly:

Number of questions answered correctly = (Number of correct answers for multiples of 4) + (Number of correct answers for non-multiples of 4)

Number of correct answers for multiples of 4 = 25

Number of correct answers for non-multiples of 4 = (100 - 25) - 33 = 42

Therefore, the number of items that will be correctly answered is 25 + 42 = 67.

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Find the Area of the below triangles #s 1 & 2 (Show all work)

Area =

1. H = 4 in.
B = 15 in.

Area =

2. H = 8 in.
B = 15 in.

Answers

Answer:

1)   30 in²

2)   60 in²

Step-by-step explanation:

a = (1/2)bh

----------------------

h = 4

b = 15

a = 1/2 * 4 * 15

a = 30 in²

----------------------

h = 8

b = 15

a = 1/2 * 8 * 15

a = 60 in²

a jar contains 11 green marbles, 6 red marbles, and 9 blue marbles. a marble is selected at random, not replaced, and then a second marble is selected. what is the probability of selecting a red marble followed by a green marble?​

Answers

Answer:

33/ 338

Step-by-step explanation:

Red = 6

Blue = 9

P.Red = 6/26 = 3/13

P.Green = 11/26

P. Both in turns = 3/13 * 11/26

= 33/338

hope this helps...

Answer:

0.09

Step-by-step explanation:

Describe a vector in your own words. - Explain a method to add vectors. - Compare and contrast the component styles. - Decompose a vector into components. - Describe what happens to a vector when it is multiplied by a scalar. - Arrange vectors graphically to represent vector addition or subtraction. See all published activities for vector Addition here. For more tipss on using PhET sims with your students, see Tips for Using PhETT

Answers

A vector is a mathematical object that represents both magnitude and direction. It is commonly used to represent physical quantities such as displacement, velocity, and force. In simple terms, a vector is an arrow that has a length (magnitude) and points in a specific direction.

To add vectors, we can use the "tip-to-tail" method. This involves placing the tail of the second vector at the tip of the first vector and drawing a new vector from the tail of the first vector to the tip of the second vector. The resulting vector, called the sum or resultant, is the vector that connects the tail of the first vector to the tip of the second vector.

Component styles are two common methods used to represent vectors: the Cartesian coordinate system and the polar coordinate system. In the Cartesian coordinate system, vectors are represented by their horizontal and vertical components. The polar coordinate system represents vectors using their magnitude and angle from a reference axis.

To decompose a vector into components, we use trigonometry. For example, in the Cartesian coordinate system, we can find the horizontal and vertical components of a vector by using the cosine and sine functions, respectively, along with the magnitude and angle of the vector.

When a vector is multiplied by a scalar (a real number), the vector's magnitude is scaled by the scalar value, and its direction remains unchanged. If the scalar is negative, the vector will reverse direction.

Graphically, we can arrange vectors by placing their tails at the origin of a coordinate system and drawing the vectors as arrows with their tips pointing to the desired location. Vector addition is represented by placing the tail of the second vector at the tip of the first vector, while vector subtraction is represented by placing the tail of the subtracted vector at the tip of the original vector, pointing in the opposite direction.

Overall, vectors provide a powerful mathematical tool for representing and manipulating quantities with both magnitude and direction. They are essential in many areas of science, engineering, and mathematics.

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A business recently ran a campaign where their roi was 3. they ran a second campaign where their roas was 4. did they do better on the second campaign?

Answers

Yes, the business did better on the second campaign. Since a higher ROI or ROAS value indicates better performance, the business did better on the second campaign.


ROI stands for Return on Investment, which is a measure of profitability. It is calculated by dividing the net profit by the total investment and expressing it as a percentage.

In this case, the ROI for the first campaign was 3, indicating that the business generated three times the profit compared to the investment.

ROAS stands for Return on Advertising Spend, which is a measure of the effectiveness of advertising campaigns. It is calculated by dividing the revenue generated by the advertising campaign by the cost of that campaign.

In this case, the ROAS for the second campaign was 4, indicating that the business generated four times the revenue compared to the advertising cost.

Since a higher ROI or ROAS value indicates better performance, the business did better on the second campaign. The ROAS value of 4 is higher than the ROI value of 3, indicating that the second campaign was more effective in terms of generating revenue compared to the investment made.

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The ROI (Return on Investment) measures the profitability of an investment and is calculated by dividing the net profit by the cost of the investment.

The ROAS (Return on Advertising Spend) measures the effectiveness of an advertising campaign and is calculated by dividing the revenue generated by the advertising campaign by the cost of the campaign. Based on the information provided, it can be concluded that the business did better on the second campaign.


In this case, the business had an ROI of 3 for the first campaign and a ROAS of 4 for the second campaign.

To compare the two campaigns, we can look at the ratios.

For the first campaign, the ROI was 3, meaning that for every dollar invested, the business received 3 dollars in profit.

For the second campaign, the ROAS was 4, meaning that for every dollar spent on advertising, the business generated 4 dollars in revenue.

Comparing these two ratios, we can see that the second campaign had a higher return on advertising spend (ROAS) compared to the first campaign's return on investment (ROI). This suggests that the second campaign performed better in terms of generating revenue in relation to the advertising cost.

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35. The height, h, in metres, of a flare as a function of time, t, in seconds, since the flare was fired from a
boat can be modeled by the equation h=-5.25t² +42t+2
a) What is the initial height of the flare when it is fired?
b) How high is the flare after 1 S?
c) When does the flare reach its maximum height?
d) What is the maximum height of the flare?
e) After how many seconds does the flare hit the water?

Answers

a)The initial height of the flare when it is fired is 2m.

b)The height of the flare after 1 s is 38.75m

c)The flare reaches its maximum height after 2 seconds.

d) The maximum height of the flare is 65m.

e) The flare hits the water after 8 seconds.

The given equation which is h = -5.25t² + 42t + 2, can be used to solve the following questions:

a) To get the initial height of the flare when it is fired, the value of t = 0 must be used in the given equation:

h = -5.25(0)² + 42(0) + 2h

= 0 + 0 + 2h

= 2

Therefore, the initial height of the flare when it is fired is 2m.

b) To get the height of the flare after 1 s, the value of t = 1 must be used in the given equation:

h = -5.25(1)² + 42(1) + 2h

= -5.25 + 42 + 2h

= 38.75

Therefore, the height of the flare after 1 s is 38.75m

c)The maximum height of the flare is reached when the flare is at its peak.

Therefore, the time when the flare reaches its maximum height is found by dividing -b by 2a, where the equation is in the form of y = ax² + bx + c.

The equation h = -5.25t² + 42t + 2 is in the form of y = ax² + bx + c,

where a = -5.25, b = 42, and c = 2.t = -b/2a = -42/2(-5.25)

= -2

Therefore, the flare reaches its maximum height after 2 seconds.

d) To get the maximum height of the flare, the value of t = 2 must be used in the given equation:

h = -5.25(2)² + 42(2) + 2h

= -21 + 84 + 2h

= 65

Therefore, the maximum height of the flare is 65m.

e)When the flare hits the water, the height, h, is 0.

Therefore, the time when the flare hits the water is found by setting h = 0 in the given equation and solving for t:

0 = -5.25t² + 42t + 2

Using the quadratic formula:\($$t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $$\)

where a = -5.25, b = 42, and c = 2.

= \(\frac{-42 \pm \sqrt{42^2 - 4(-5.25)(2)}}{2(-5.25)} $$t\)

= 8.003 or t = 1.331

Since time cannot be negative, the time when the flare hits the water is after 8 seconds. Therefore, the flare hits the water after 8 seconds.

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Train A leaves Paris and travels at a constant speed of 75 mph toward Pisa. At the
same time. Train B leaves Pisa headed toward Paris at a constant speed of 50
mph. Let x represent time traveled in hours and let y represent miles from Paris. If
Paris and Pisa are 500 miles apart, when will the two trains pass each other?

Answers

Answer: \(4.016\ hr\)

Step-by-step explanation:

Given

Train A has speed of \(v_a=75\ mph\)

Train B has speed of \(v_b=50\ mph\)

If Paris and Pisa is 500 miles apart

If they meet x hours after the start

The sum of the distances traveled by Train A and B is 500 miles

\(\Rightarrow 75\times x+50\times x=500\\\Rightarrow 125x=500\\\Rightarrow x=4.016\ hr\)

So, after \(4.016\ hr\) they will pass each other.

please help fast!!!!!



Drag each tile to the correct box.

Arrange the steps in the correct order to solve the equation.

3(22t - 5) - 4 = 10

Answers

The solution to the equation 3(22t - 5) - 4 = 10 is t = 29/66.

First, we want to simplify the left-hand side of the equation as much as possible. In this case, we have 3(22t - 5) - 4. To simplify this, we need to distribute the 3, which means we multiply 3 by both terms inside the parentheses. This gives us:

66t - 15 - 4 = 10

Next, we want to simplify the left-hand side further by combining like terms. We have two constants on the left-hand side (-15 and -4), so we can add them together to get -19. This gives us:

66t - 19 = 10

Now we want to isolate the variable (t) on one side of the equation. To do this, we need to get rid of the constant on the left-hand side (-19). We can do this by adding 19 to both sides of the equation:

66t - 19 + 19 = 10 + 19

Simplifying this gives us:

66t = 29

Finally, we want to solve for t by dividing both sides of the equation by 66:

66t/66 = 29/66

Simplifying this gives us:

t = 29/66

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You are training your dog to catch a frisbee. You are playing in a large field, and you are standing next to your dog when you throw the frisbee. If the path of the frisbee is y= –x2 8x 6 and the path of the dog is modeled by y = 2x 6, will the dog catch the frisbee? if so, what are the coordinates of the point or points where they meet?

Answers

Yes, dog will catch the frisbee. The coordinates of the point or points where they meet are (0,6) and (6,18). So, option(a) is correct answer for this question.

I have a training your dog to catch a frisbee. The path equation of frisbee is y= –x² + 8x + 6 --(1)

and the path equation of the dog is modeled by

y = 2x + 6 --(2)

We have to check dog catch the frisbee or not and also determine the coordinates. The dog will catch the frisbee, when both equations are intersect to each other. That is intersection point of equation (1) and (2) are the required coordinates. Now, we determine the intersection points between the equation (1) and (2).

Substituting the value of y from equation (2) to equation (1), y = 2x + 6 in y = - x² + 8x + 6

=> 2x + 6 = -x² + 8x + 6

Simplify, x² - 8x + 2x = 6-6

=> x² - 6x = 0

=> x( x - 6) = 0

either x = 0 or x -6 = 0

=> x = 0, x= 6

from equation (1), y = 2(0) + 6 = 6

when x = 6, y = 2(6) + 6 = 18

Hence, required coordinates are (0,6) and (6,18).

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Complete question:

You are training your dog to catch a frisbee. You are playing in a large field, and you are standing next to your dog when you throw the frisbee. If the path of the frisbee is y= –x² + 8x + 6 and the path of the dog is modeled by y = 2x + 6, will the dog catch the frisbee? If so, what are the coordinates of the point or points where they meet?

a) Yes, they intersect at the coordinates (0, 6) and (6, 18)

b) Yes, they intersect at the coordinates (1, 13) and (2, 10)

c) Yes, they intersect at the coordinates (2, 18) and (3, 12)

d)No, the paths do not cross

the test statistic for testing equality of proportions multiple select question. assumes when samples are large that p1 - p2 is normally distributed. uses a pooled proportion to calculate the standard error. is a t statistic. is a z score

Answers

The test statistic for testing equality of proportions is a z-score. It is calculated by dividing the difference in sample proportions by the standard error. The resulting z-score is then compared to critical values from the standard normal distribution to determine the statistical significance of the difference in proportions.

The correct options for the test statistic for testing the equality of proportions in a multiple-select question are:

Assumes when samples are large that p1 - p2 is normally distributed.

Uses a pooled proportion to calculate the standard error.

Is a z-score.

When the samples are large, the difference between two proportions (p1 - p2) can be approximated to follow a normal distribution. This assumption is based on the Central Limit Theorem.

To calculate the standard error in this scenario, a pooled proportion is used. The pooled proportion combines the proportions from both samples to estimate the common population proportion.

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44+400 divided by (4+62)-24

Answers

Answer:

185

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

250

244

18

10

are one of the answers

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Triangle ABC is located on a coordinate plane. Angle C is at (1, 2). The triangle is rotated counterclockwise 90° about the origin. HOW DO I SOLVE THIS????

Answers

Answer:the answer is (-2,1)

Step-by-step explanation:

When rotating a point 90 degrees counterwise about the origin point (x,y) becomes (-y,x). So basically switch x and y and make y negative when rotating 90 degrees counterclockwise about the origin.

If the triangle is rotated counterclockwise 90 degrees about the origin, the angle C = (1, 2) will become C = (-1, 2).

What is a triangle?

It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle ABC is located on a coordinate plane.

Angle C is at (1, 2).

This means that,

Angle C = (1, 2) is in the I Quadrant.

We have four Quadrant:

Quadrant I - The coordinates are in the form of (x, y)

Quadrant II - The coordinates are in the form of (x, -y)

Quadrant III - The coordinates are in the form of (-x, -y)

Quadrant IV - The coordinates are in the form of (-x, y)

If we rotate C = (1, 2) counterclockwise 90 degrees about the origin, the angle C will be in the IV quadrant.

So,

C = (1, 2) will become C = (-1, 2)

Thus,

If the triangle is rotated counterclockwise 90 degrees about the origin, the angle C = (1, 2) will become C = (-1, 2).

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What is the formula for AFC?

Answers

The formula for Average Fixed Cost (AFC) is: AFC = FC / Q. Where FC represents the total fixed costs incurred by a firm and Q represents the quantity of output produced by the firm.

AFC is a per-unit measure of the fixed cost of production, and represents the amount of fixed cost that is attributed to each unit of output. As the quantity of output increases, the AFC decreases, since the fixed costs are spread out over a larger number of units. AFC is an important concept in economics and business, as it is used to calculate other cost measures such as average total cost and average variable cost.

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1) A store is having a 10% -off sale on all merchandise.
If Mai buys one item and saves $18, what was the original price of her purchase?
Write your answer and explain or show your reasoning
Below

Answers

The original price of her purchase is $18

What was the original price of her purchase?

From the question, we have the following parameters that can be used in our computation:

Discount = 10%

Savings = $18

This implies that

Savings = discount * Original amount

So, we have

Original amount = savings/discount

Substitute the known values in the above equation, so, we have the following representation

Original amount = 18/10%

Evaluate

Original amount = $180

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Let P and Q be polynomials with positive leading coefficients. Consider the limit below. (If the limit is infinite, enter '[infinity]' or '-[infinity]', as appropriate. If the limit does not otherwise exist, enter DNE.) lim x→[infinity] P(x) Q(x) (a) Find the limit if the degree of P is less than the degree of Q. (b) Find the limit if the degree of P is greater than the degree of Q.

Answers

(a) If the degree of P is less than the degree of Q, the limit is 0. (b) If the degree of P is greater than the degree of Q, the limit is either [infinity] or -[infinity], depending on the leading coefficients.

(a) If the degree of polynomial P is less than the degree of polynomial Q, as x approaches infinity, the leading term of Q(x) dominates the expression. Since both P and Q have positive leading coefficients, the limit of P(x) / Q(x) as x approaches infinity is 0. The higher degree terms in Q grow faster, making the contribution from P negligible in comparison.

(b) If the degree of polynomial P is greater than the degree of polynomial Q, the limit of P(x) / Q(x) as x approaches infinity depends on the leading coefficients of P and Q. If the leading coefficients of both P and Q are positive, the limit will be [infinity]. If the leading coefficients have opposite signs, the limit will be -[infinity]. In both cases, the higher degree terms in P dominate the expression as x grows large.

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