Can anyone answer this question?

Answer:

The absolute difference is 1050

The relative percentage is 32.3076%

Step-by-step explanation:

We are given

The population of a town increased from 3,250 in 2008 to 4,300 in 2010

In 2008:

In 2010:

Absolute difference:

we know that

absolute difference =

absolute difference =

absolute difference is 1050

Relative increase:

we know that

Relative percentage is

now, we can plug values

=32.3076

So, the relative percentage is 32.3076%

A and B are two sets, and the set formula is given as n(AB) = n(A) + n(B) - n(AB), where n(AB) denotes the number of elements present in either A or B, and n(AB) is the number of elements present in both A and B.

Drawing Venn diagrams, as seen below, is the simplest method for solving set issues.

The total number of elements in any set A or B is n(AB).

The total number of elements in sets A and B is n(AB).

n(AB) is equal to n(A) + n(B) - n(AB)

U={a,b,c,d,e,f}

X={a,b,c,d},

Y={c,d,e}

Z={b,d,f}

(XUY) =  (a,b,c,d,e)

(XUZ)​ =(a,b,c,d,f)

(XUY)U(XUZ)  =  (a,b,c,d,e,f)

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The improper fraction of [tex]\frac{10}{6}[/tex] is [tex]1\frac{2}{3}[/tex] .

Converting [tex]\frac{10}{6}[/tex] into improper fraction,

[tex]\frac{10}{6}\\\\=\frac{5}{3}[/tex]

Divide 5 by 3, we get 1 with remainder 2

Now, write 1 as whole number , 2 as new numerator  and denominator remains same i.e. 3

Now, Improper fraction is [tex]1\frac{2}{3}[/tex] .

Thus, the improper fraction of [tex]\frac{10}{6}[/tex] is [tex]1\frac{2}{3}[/tex] .

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Line 1  4x³ + 2x² − 6x +3 is having error.

Line 1.

4x³ + 2x² − 6x +3

Line 2.

= 2x²(2x + 1) − 3(2x + 1)

= 4x³ + 2x² - 6x - 3

Line 3.

= 2x²(2x + 1) + ( − 3)(2x + 1)

= 4x³ + 2x² - 6x - 3

Line 4.

= (2x² − 3)(2x + 1)

= 4x³ + 2x² - 6x - 3

expect line 1 remaining all three are equal.

Therefore Line 1  4x³ + 2x² − 6x +3 is having error.

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Answer:

a) 4 x -3 x 2 = -24

b) -2 x 5 x -4 = 40

c) -3 x -1 x -6 = -18

Answer:

a.4 x -3 x 2 =

use the rules for multiplication

-(4×3×2)

-(12×2)

=2

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

b. -2 x 5 x -4 =

note:

-2×5(-4)

multiplying an even number of negative terms makes the product positive.

-2×5= 10

10×-4

=40

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

C. -3 x -1 x -6 =

note:

multiplying an odd number of negative terms makes the product negative.

-(3×1×6)

=-18

The equation which passes through (3,2) and slope 1/3 is:

y - 2 = 1/3 (x - 3)

Given, we have:

slope (m) = 1/3

Point = (3,2) = (x₁,y₁)

we are asked to determine the point slope form :

we know that:

point slope form:

y-y₁ = m(x-x₁)

substitute the above values in the formula:

y - 2 = 1/3 (x - 3)

Hence the correct option is B.

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In given word problem ending time of the play is 10.50 AM.

What is word problem?

 A comprehensive list of math word problems focuses on addition, subtraction, multiplication, division and more specific operations. life scenario. This means that children must be familiar with vocabulary associated with familiar mathematical symbols in order to understand word problems.

Here starting time of play = 9:05 AM

It took 1 hour 45 minutes to end the play. Then ,

=> 9 hour  05 minutes

    1 hour   45 minutes +

=> 10 hour 50 minutes.

Hence ending time of the play is 10.50 AM.

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Answer:

Round to the nearest tenth.

a. 0.54 + 0.278 = 0.5 +0.3 = 0.8

b. 2.65 + 28. 17= 2.70 + 28.20 = 30.9

c. 3.09 + 2.41 + 9.86 = 3.10+ 2.40 + 9.90= 15.4

d. 15.234 + 1.37 + 0.76 = 15.20 + 1.3 + 0.8 = 17.30

e. 39.18 + 2.48+ 0.84 = 39.20 + 2.5 + 0.8 = 42.5

Round to the nearest whole number.

f. 4.112 + 3.89 = 4 + 4 = 8

g. 23.14 + 7.6 + 3.67 = 23 + 8 + 4= 35

h. 53.2 + 3.08 + 27.51 = 53 + 3+ 28 = 84

i. 11.08 + 17.28 + 92.6 = 11 + 17 + 93 = 121

j. 24.08+ 7.9 + 3.06 = 24 + 8 + 3 = 35

Step-by-step explanation:

Hopefully it's right!!!

By using function, it can be calculated that

The value of f(8, 9) is 73

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here the function is

f(a, b) = ab - (a - b)

f(8, 9) = 8 [tex]\times[/tex] 9 - (8 - 9)

f(8, 9) = 72 + 1

f(8, 9) = 73

So the value of f(8, 9) is 73

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Kevin favorite lemonade juice can't taste the same as Patricia's.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

1 table spoon = 0.5 ounce

Therefore, 24 ounces will be:

= 24 × 0.5

= 12 tablespoon

In this case, they have different tablespoon and therefore won't have same taste.

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With the help of binomial distribution we can conclude our answer.

acc to our question-

The confidence interval can be found out using,

Hence, the confidence interval for the mean load required to pull the wood apart is (29,485.192 , 32,114.8).

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The similar pairs of triangles are given as follows:

Similar triangles are two triangles that have the same angle measures.

For these triangles, considering the relations between angles such as sine/cosine/tangent, or the law of sines, the side lengths have to be proportional.

Considering the need for proportional side lengths, the similar triangles in this problem are given as follows:

The other triangles are not similar as there are no proportional relationships that can be established from the side lengths of these triangles.

The problem is given by the image at the end of the answer.

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The probability that both Rachel and Robert are in the picture is 3/16.

The terms probability and possibility are interchangeable. It is a mathematical branch concerned with the occurrence of a random event. The value is between 0 and 1. In mathematics, the probability was introduced to predict the likelihood of events occurring.

Given that

Rachel and Robert both begin at the same point

Rachel completes a lap every 90 seconds.

Robert completes a lap every 80 seconds.

The photographer captures 1/4th of the track, centered on the starting line.

As a result, the photo captures 1/8th of the track on either side of the starting line.

The photographer captures it between 10 and 11 minutes, or 600 and 660 seconds.

Let us calculate the time interval between 600 and 660 seconds during which Rachel and Robert will be running in the quarter-length region of the track centered on the starting line. Specifically, 1/8th of the track length on each side of the starting line.

Robert will complete 1/8th of a lap in 10 seconds. So, between 630 and 650 seconds, Robert will be in the area of the ground captured by the photographer.

Rachel finishes one lap in 90 seconds. As a result, Rachel will take the starting line at the 630th second (after 7 laps).

Rachel will complete 1/8th of a lap in 90/8 seconds. So, Rachel will be in the area of the ground captured by the photographer from (630 - 90/80) seconds to (630 + 90/80) seconds.

i.e., for a duration of 90/80 seconds out of the 60 seconds both of them are in the frame captured by the photographer.

Required probability = {time window in which both Rachel and Robert are in the favorable zone}/{time window in which the photographer captures the picture}

= {90/8}/60

= 3/16

Therefore the probability that both Rachel and Robert are in the picture is 3/16

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a. The slope of the line that is parallel to y = 5/8x + 9 is: 5/8.

b. The slope of the line that is perpendicular to y = 5/8x + 9 is: -8/5.

When two lines are parallel to each other, the lines will have the same slope value (m). However, if both lines are perpendicular to each other, they would have slope values that are negative reciprocals, meaning the product of their slope would be -1.

a. Given the equation, y = 5/8x + 9, the slope (m) of the line is 5/8.

Therefore, it implies that the line that is parallel to y = 5/8x + 9 will have a slope that is the same as 5/8.

Thus, the slope of the parallel line to the equation, y = 5/8x + 9, is: 5/8.

b. The negative reciprocal of 5/8 is -8/5.

Therefore, the slope of the line that is perpendicular to y = 5/8x + 9 would be: -8/5.

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The quadratic function f(x) = -3(x + 2)²  + 1is represented in the graph below

When graphing parabolas, we want to include certain special points in the graph. The y-intercept is the point where the graph intersects the y-axis. The x-intercepts are the points where the graph intersects the x-axis. The vertex is the point that defines the minimum or maximum of the graph. Lastly, the line of symmetry (also called the axis of symmetry) is the vertical line through the vertex, about which the parabola is symmetric.

In the function given;

f(x) = -3(x + 2)² + 1

vertex of the function = (-2, 1)

Axis of symmetry =

This can be graphed using a graphing calculator;

Kindly find the attached image

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The required minimum sample size is 2875

Given that,

A government organization wanted to determine how many drivers between the ages of 16 and 24 had recently engaged in an accident. The agency wanted to make the estimate with a 90% confidence level and within one percentage point.

From the standard normal table, the z-critical value at 90% confidence is 1.65.

The information represent E = 0.01, p = 0.12 and z. =1.65 for finding sample size.

n = (Zc / E )² x P(1-P)

  = (1.65 2x0.12(1 - 0.12)0.01

  = 2874.96 ~ 2875

Hence, 2875 is the necessary number of samples, minimum.

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The statement which could be true for the function, g as required in the task content is; Choice C; g(0) = 2.

It follows from the task content that the statement which could be true about the function g is to be identified.

Since the given function instances are; g(0) = -2 and g(-9) = 6.

Since the function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45.

Hence, the statement which could be true about the function, g is; Choice C; g(0) = 2.

This is so because, 0 is in the domain of the function and 2 is in the range of the function.

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The difference in average speed between two cars is  4 kilometers per hour . Average speed of cars are 32 kilometers per hour and 28 kilometers per hour. The average speed is the total distance traveled by the object in a particular time interval.

The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path.

Both can be measured and quantified since they are physical quantities. Both phrases refer to moving bodies alone; they do not refer to static bodies.

Average speed of first car = total distance / total time

                                            =  160/ 5 = 32

Average speed of second car = total distance / total time  

                                                   = 140/ 5 = 28

The difference in average speed between two cars = 32 -28= 4

4 kilometers per hour is the  difference

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The word problem including the given equation is mentioned below.

Given, a system of equations

x + y = 0

2x - y = 6

We have to make a word problem using the given system of equations.

Ram and Rahul are two friends and both attempt a test of 10 marks. Now, Ram prepared for the test whereas Rahul didn't prepared for the test and marked the wrong answers in the test. If negative marking is allowed in the test and it is given that, sum of the marks of both the students is zero. Also, twice the marks of Ram is 6 less than the marks of Rahul.

Find the marks of both the students.

Hence, the word problem including the given equation is mentioned above.

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Answer:

a. its a prime number cuz as far as ik 67 has one factor 67x1

Answer:

Number 67 is prime because it doesn't have proper factors. In other words, the only factors of 67 are 1 and itself

Answer: $2738.02

Step-by-step explanation:

1) (3000x0.97) = 2910  } Year 1

2) (2910x0.97) = 2822.7  } Year 2

3) (2822.7x0.97) = 2738.019  } Year 3

Which is the order from least to greatest of the following

A. 4/3, 0.8, 1/5, 30%

1.33 , 0.8 , 0.2 , 0.3

B. 30%, 4/3, 0.8, 1/5

0.3 , 1.33 , 0.8 , 0.2

C. 1/5, 4/3, 30%, 0.8

0.2 , 1.33 , 0.3 , 0.8

D. 1/5, 30%, 0.8, 4/3

0.2 , 0.3 , 0.8 , 1.33 these are listed smallest to largest

Answer:

x = -2 ; x = 6/5

Step-by-step explanation:

5x + 2 >=0

5x >= -2

5/5 x >= -2/5

x >= -2/5

if x >= -2/5

5x +2 = 8

5x = 8 -2

5x = 6

5/5 x = 6/5

x = 6/5

if x < -2/5

-5x -2 = 8

-5x = 8+2

-5x = 10

-5/-5 x = 10/-5

x = -2

The magnitude is approximately 186 pounds.

A mathematical object's magnitude, often known as its size, is a quality that indicates whether it is bigger or smaller than other things of the same sort. Formally speaking, an object's magnitude represents the ordered (or ranked) outcome of the class of objects it belongs to.

We have to assume that the notation starts South and then moves 76 degrees East.

The 70-pound force is going at an angle down and to the right.

The down one is negative and the right one is positive.

We have to use the vectors as the hypotenuse of a rectangle.

70 cos(76) = vertical = 16.93 down

70 sin(76) = horizontal = 67.92 right

120 cos(80) = vertical = 20.83 up

120 sin(80) = horizontal =118.17 right

We have to add up all the values vertically and horizontally, and we get

-16.93 + 20.83 =3.9 up

67.92 + 118.17= 186.09 right

Here, the magnitude is the hypotenuse.

sqrt(15.21+34629.49) =186.13 pounds.

Direction is cos⁻¹(3.9/186.13) = 88.802  

Remember this is North then 88.802 degrees East

Therefore, the magnitude is approximately 186 pounds.

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The money left with Dan is £30  .

In the question ,

it is given that

the amount of money earned by Dan in a week is = £240  .

amount of money spent by Dan on rent is = 3/4 wage

amount of money spent by Dan on food is = 1/8 of wage

So ,

the total amount spent = amount spent on food + amount spent on rent

Substituting the values ,

we get ,

= 3/4 + 1/8 = 7/8 of his wage = (7/8)*240

= 210

so , total amount spent is £210 .

Amount left = amount earned - amount spent

= 240 - 210
= 30

Therefore ,The money left with Dan is £30  .

The given question is incomplete , the complete question is

Dan spends 3/4 of his wages on rent and 1/8 on food. If he makes £240 per week, how much money does he have left?

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The probability that at least nine out of 12 cars have an acceptable emissions level is 0.333.

The branch of mathematics which deals with the analysis of random phenomena is called probability. The probability of an event is defined as the ratio of favorable events to the total number of events.

P(E) = F(E)/T(E)

Where P(E) = probability of an event which occur\

F(E) = Number of favorable events

T(E)= Total number of events

Here given that the total number of cars T(E) =12

And the number of cars that have acceptable emissions level F(E) = 4

Hence Probability that at least nine cars have an acceptable emission level

=4/12

= 1/3

= 0.333

The probability that at least nine out of 12 cars have an acceptable emissions level is 0.333.

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The ratio of 15 and square of m is 15/m².

A ratio simply refers to a mathematical expression that is typically used for denoting the proportion of two (2) or more quantities with respect to one another and the total quantities. This ultimately implies that, a ratio can be expressed as a quotient.

In Mathematics, quotient can be defined as a mathematical expression that is simply used to represent the division of a numerical value by another numerical value or variable.

In this scenario, the numerical value 15 would be the numerator while the variable m would be the denominator, and it should be expressed as follows:

Ratio = 15/m²

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The probability of getting at least one question right is 96.875%.

The question states that at least one guess should be right. This ultimately means that all guesses cannot be wrong, which is the only possibility being excluded here.

Probability for wrong guess =12=0.5

Probability for all wrong guesses =0.5*0.5*0.5*0.5*0.5=0.03125 or 3.125%

There is only 3.125% chance of all wrong guesses. Rest of the possibilities are our favorable conditions, i.e. at least one correct guess.

Therefore,

Probability of at least one correct guess=1-0.03125=0.96875 or 96.875%

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Total no of ways can a combo containing 2 burgers, 3 different sides, 2 different flavor drinks, and 3 ice cream flavors be made = 529,200

acc to our question-

hence,Total no of ways can a combo containing 2 burgers, 3 different sides, 2 different flavor drinks, and 3 ice cream flavors be made = 529,200

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