NEED HELP PLEASE ANSWER THIS MATH QUESTION

NEED HELP PLEASE ANSWER THIS MATH QUESTION

Answers

Answer 1

Answer:

Δ ABC was dilated by a scale factor of 1/2, reflected across the y-axis

and moved through the translation (3 , 2)

Step-by-step explanation:

* Lets explain how to solve the problem

- The similar triangles have equal ratios between their

  corresponding side

- So lets find from the graph the corresponding sides and calculate the

  ratio, which is the scale factor of the dilation

- In Δ ABC :

∵ The length of the horizontal line is x2 - x1

- Let A is (x1 , y1) and B is (x2 , y2)

∵ A = (-4 , -2) and B = (0 , -2)

∴ AB = 0 - -4 = 4

- The corresponding side to AB is ED

∵ The length of the horizontal line is x2 - x1

- Let E is (x1 , y1) , D is (x2 , y2)

∵ E = (5 , 1) and D = (3 , 1)

∵ DE = 5 - 3 = 2

∵ Δ ABC similar to Δ EDF

∵ ED/AB = 2/4 = 1/2

∴ The scale factor of dilation is 1/2

* Δ ABC was dilated by a scale factor of 1/2

- From the graph Δ ABC in the third quadrant in which x-coordinates

 of any point are negative and Δ EDF in the first quadrant in which

 x-coordinates of any point are positive

∵ The reflection of point (x , y) across the y-axis give image (-x , y)

* Δ ABC is reflected after dilation across the y-axis

- Lets find the images of the vertices of Δ ABC after dilation and

 reflection  and compare it with the vertices of Δ EDF to find the

 translation

∵ A = (-4 , -2) , B = (0 , -2) , C (-2 , -4)

∵ Their images after dilation are A' = (-2 , -1) , B' = (0 , -1) , C' = (-1 , -2)

∴ Their image after reflection are A" = (2 , -1) , B" = (0 , -1) , C" = (1 , -2)

∵ The vertices of Δ EDF are E = (5 , 1) , D = (3 , 1) , F = (4 ,0)

- Lets find the difference between the x-coordinates and the

 y- coordinates of the corresponding vertices

∵ 5 - 2 = 3 and 1 - -1 = 1 + 1 = 2

∴ The x-coordinates add by 3 and the y-coordinates add by 2

∴ Their moved 3 units to the right and 2 units up

* The Δ ABC after dilation and reflection moved through the

  translation (3 , 2)


Related Questions

Drag the tiles to the correct boxes to complete the pairs :


Q: In the figure, line a and line b are parallel. Based on the figure, match each given angle with its congruent angles.

Answers

Answer:

Angles congruent to angle 2 is first. Angles congruent to angle 6 is second. Angles congruent to angle 1 is third. Angles congruent to angle 7 is last.

Step-by-step explanation:

Opposite angles are always equal. Alterbate interior/exterior angles are always equal.

The daytime temperature in Pinedale was 7 1/2 degrees Celsius yesterday. Today the temperature dropped to -3 degrees Celsius. The net change in the temperature is

Answers

Answer:

-10.5 deg

Step-by-step explanation:

Yesterday's temp = 7-1/2 deg (or 7.5 deg)

Today's temp = -3 deg

net change = today's temp - yesterday's temp

= -3 - 7.5 = -10.5 deg

Answer:

-10.5

Step-by-step explanation:

I listened to the other person and they helped me get it right. I'm just here to confirm it. Stay safe!! <3

Can somebody please help me with this problem please

Answers

Answer:

m = 3, n = 4

Step-by-step explanation:

Solve using the substitution process. First, start with the second equation:

2m + 2n = 14

Simplify. Divide 2 from all terms within the equation. What you do to one side, you do to the other:

(2m + 2n)/2 = (14)/2

m + n = 7

Isolate the variable m. Subtract n from both sides:

m + n (-n) = 7 (-n)

m = 7 - n

Plug in 7 - n for m in the first equation:

-5m + 9n = 21

-5(7 - n) + 9n = 21

Solve. First, distribute -5 to all terms within the parenthesis:

(-35 + 5n) + 9n = 21

Simplify. Combine like terms:

-35 + (5n + 9n) = 21

-35 + 14n = 21

Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 35 to both sides:

14n - 35 (+35) = 21 (+35)

14n = 21 + 35

14n = 56

Isolate the variable n. Divide 14 from both sides:

(14n)/14 = (56)/14

n = 56/14

n = 4

Plug in 4 to n in one of the equations, and solve for m.

2m + 2n = 14

2m + 2(4) = 14

2m + 8 = 14

Isolate the variable, m. Do the opposite of PEMDAS. First, subtract 8 from both sides:

2m + 8 (-8) = 14 (-8)

2m = 14 - 8

2m = 6

Divide 2 from both sides:

(2m)/2 = (6)/2

m = 6/2

m = 3

Your answers: m = 3, n = 4

~

Answer:

(3, 4)

Step-by-step explanation:

Please include the instructions.  I'm assuming that you want to solve this system of linear equations.

If that's the case, let's use elimination by addition and subtraction.

Multiply the first equation, -5m + 9n = 21, by 2:  -10m + 18n = 42, and

multiply the second equation, 2m + 2n = 14, by 5:  10m + 10n = 70

Next, combine these two "new" equations:

-10m + 18n = 42

10m + 10n = 70

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

          28n = 112.  Dividing both sides by 28, we get  n = 4.

Subbing 4 for n in the second equation, we get 2m + 2(4) = 14, or

2m = 6.  Then m = 3, and the solution is thus

(3, 4).

Write an equation of the line below.

Answers

The equation would be -1/4x
This is because the slope is one unit down and four units to the right

Since the graph above shows a proportional relationship between x and y, an equation of the line is y = -1/4(x).

What is a proportional relationship?

In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:

y = kx

Where:

y represents the y-variable​.x represents the x-variable.k is the constant of proportionality.

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = -1/4 = -2/8 = -12/3

Constant of proportionality, k = -1/4.

Therefore, the required linear equation for y(x) is given by;

y = kx

y = -1/4(x)

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In the figure, polygon ABCD is transformed to create polygon A'B'CD
This transformation is a
by a factor of

Answers

Dilation by a factor of 2

Answer:

This transformation is a horizonta dilation by a factor of 2.

Step-by-step explanation:

If you observe the image, you deduct that the polygon ABCD was increased in size, that means the scale factor applied dilated the figure. In other words, there was applied a factor of dilation.

To find the exact factor of dilation, we just have to divide each prime coordinate by the original ones.

For example, you can observe that coordinates [tex]A(3,0)[/tex] was changed to [tex]A'(6,0)[/tex], [tex]B(1,0)[/tex] was changed to [tex]B'(2,0)[/tex], [tex]C(1,2)[/tex] was changed to [tex]C'(2,2)[/tex] and [tex]D(3,2)[/tex] was changed to [tex]D'(6.2)[/tex].

Now, observe that the dilation was horizontal, that is, the scale factor was only applied to x-coordinates, and this factor is 2, beacuse each x-coordinate was increase by a factor of 2.

Therefore, this transformation is a horizonta dilation by a factor of 2.

five consecutive multiples of 11 have a sum of 220. what is the greatest of these numbers

A. 33
B. 44
C. 55
D. 66

Answers

Answer:

D. 66.

Step-by-step explanation:

There has to be 3 even multiples in the 5 numbers so we try:

22+33+44+55+66

= 220.

Answer:

Option D. 66

Step-by-step explanation:

A multiple is an exact number of times to another number.

The five consecutive multiples of 11 are:

22 -> 11/22 = 2 times, no remainder

33 -> 33/11 = 3 times, without remainder

44 -> 44/11 = 4 times, without remainder

55 -> 55/11 = 5 times, without remainder

66 -> 66/11 = 6 times, without remainder

Of those five multiples of 11 (22, 33, 44, 55, 66), the greatest is 66.

Refer to the figure to complete the proportion. (10)

Answers

Answer:

b/x=y/b

Step-by-step explanation:

Switch it over and get the y.

If a tire moves 0.88 feet from 1 rotation, what is the tires circumference?

Answers

Answer:

0.88 feet

Step-by-step explanation:

The tire covers 0.88 feet in 1 rotation.

1 rotation means the whole tire moves, which is basically its circumference. So, the distance it covers in moving 1 rotation IS ITS CIRCUMFERENCE.

Hence, 0.88 feet is the circle's circumference.

Which shows the graph of the solution set of 2x + y < 4?

Answers

Answer:

Shaded to the left

Step-by-step explanation:

I cannot see the illustration, but I know for a fact that after using the zero-interval test [plug 0 in for BOTH y and x], you get 0 < 4, which is a genuine statement, so it gets shaded on the left hand side, otherwise shaded on the right of it were false statement.

I am joyous to assist you anytime.

What are the zeros of f(x)=(x-5)(x-4)(x-2)?
A 5, -4, 2
B 5, -4, -2
C 5,4,2
D 5,4,-2

Answers

f(x)=(x-5)(x-4)(x-2)

x-5=0

x-5+5=0+5

x=5

x-4=0

x-4+4=0+4

x=4

x-2=0

x-2+2=0+2

x=2

Answer: 5,4,2 -C

The zeros of the function f(x) = (x-5)(x-4)(x-2) are 5, 4, 2

Option C is correct

Note that:

The zeros of a function f(x) are the values of x that makes f(x) to be equal to zero

If f(x)  =  (x - a)(x - b)(x - c), then the zeros of the function f(x) are:

x  = a,  x  =  b,  x  =  c

Therefore, the zeros of f(x)=(x-5)(x-4)(x-2) are found by equating f(x) to zero

(x - 5)(x - 4)(x - 2)  =  0

Equate each of the terms to zero

x  -  5  =  0

x  =   5

x  -  4  =  0

x   =  4

x  -  2  =  0

x   =  2

The zeros of the function f(x) = (x-5)(x-4)(x-2) are 5, 4, 2

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They notice 8 spiders in the tree, 5 cockroaches, 7 bees, 3 deer, 4 cows and a pair of antlers behind a bush. How many legs do all the numbered creatures amount to all together?

Answers

Spiders have 8 legs, roaches have 6 and so do bees, and deer, cows, and whatever other animal has antlers have 4.

8 spiders = 64 legs
5 roaches = 30
7 bees = 42
3 deer = 12
4 cows = 16
Other thing with antlers = 4

Add em all together and you get a total of 168 legs for all of the creatures.

Answer:

164 legs all together

Step-by-step explanation:

There are 144 legs out of all the numbered creatures together.

Spiders = 8 legs

8 x 8 = 64

Cockroaches = 6 legs

6 x 5 = 30

Bees = 6 legs

7 x 6 = 42

Deer = 4 legs

3 x 4 = 12

Cows = 4 legs

4 x 4 = 16

Need help ASAP
Form a polynomial whose real zeros and degree are given.
Zeros: -3, -1, 1, 2; Degree: 4
Type a polynomial with integer coefficients and a leading coefficient of 1.

f(x)=?


Please show work.

Answers

Answer:

[tex]f(x)=x^{4}+x^{3}-7x^{2}-x+6[/tex]

Step-by-step explanation:

The zeros of the polynomial are: -3, -1, 1, 2

According to the factor theorem, the factors of the polynomial will be:

(x - (-3)) = x + 3

(x - (-1)) = x + 1

(x - 1)

(x - 2)

Since we have the factors, we can multiply them to obtain the equation of the polynomial.

So,

[tex]f(x)=(x+3)(x+1)(x-1)(x-2)\\\\ f(x)=(x+3)(x^{2}-1)(x-2)\\\\ f(x)=(x^{2}-1)(x^{2}-2x+3x-6)\\\\ f(x)=(x^{2}-1)(x^{2}+x-6)\\\\ f(x)=x^{4}+x^{3}-6x^{2}-x^{2}-x+6\\\\ f(x)=x^{4}+x^{3}-7x^{2}-x+6[/tex]

The above equation give the polynomial with integer coefficients and a leading coefficient of 1

Final answer:

The polynomial of degree 4 that has -3, -1, 1, and 2 as its real zeros and integer coefficients with a leading coefficient of 1 can be expressed in its factored form as f(x) = (x + 3)(x + 1)(x - 1)(x - 2).

Explanation:

To form a polynomial with the given real zeros and degree, we must first understand that each real zero corresponds to a factor of the form (x - a), where a is the zero.

Therefore, given the zeros -3, -1, 1, and 2,

the corresponding factors of the polynomial are (x + 3), (x + 1), (x - 1), and (x - 2).

The polynomial of degree 4 with these zeros can then be written as the product of these factors,

obtaining f(x) = (x + 3)(x + 1)(x - 1)(x - 2).

Since it's required that polynomial has integer coefficients and a leading coefficient of 1,

we leave it in this factored form.

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11 POINTS WILL & PICK BRAINLIEST ! Which rule describes the composition of transformations that maps figure ABCDE to figure A"B"C'D"E"?

Answers

Answer: its the third one try that

Step-by-step explanation:

Answer:

It's C

Step-by-step explanation:

What are the x- and y-intercepts of y=-3x -9?

Answers

Answer:

x-intercept (-3,0)

y-intercept  (0,-9)

Step-by-step explanation:

The x-intercepts can be found by setting y to 0 and solving for x.

y=-3x-9

0=-3x-9

Add 9 on both sides:

9=-3x

Divide both sides by -3:

9/-3=x

-3=x

The x-intercept is (-3,0).

The y-intercepts can be found by setting x to 0 and solving for y.

y=-3x-9

y=-3(0)-9

y=0-9

y=-9

The y-intercept is (0,-9).

Answer:

x-intercept: x = -3 → (-3, 0)y-intercept: y = -9 → (0, -9)

Step-by-step explanation:

x-intercept is for y = 0.

y-intercept is for x = 0.

y = -3x - 9

x-intercept (put y = 0):

0 = -3x - 9            add 9 to both sides

9 = -3x          divide both sides by (-3)

-3 = x → x = -3

y-intercept (put x = 0):

y = -3(0) - 9

y = 0 - 9

y = -9

this box plot shows the heights (in feet) from a sample of two different type of elephants compare the outliers and interquartile ranges

Answers

Answer:

The correct option is C.

Step-by-step explanation:

Using the given box plots:

The data set for Asian elephant is

6, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10

Divide the data set in 4 equal parts.

(6, 6, 7), 7, (7, 8, 8), 8, (8, 8, 8), 9, (9, 9, 10)

[tex]Q_1=7, Median=8, Q_3=9[/tex]

IQR of the Asian elephant is

[tex]IQR=Q_3-Q_1=9-7=2[/tex]

IQR of the Asian elephant is 2.

If the data set lies in interval [tex][Q_1-1.5(IQR),Q_3+1.5(IQR)][/tex], then the data set has no outliers.

[tex][Q_1-1.5(IQR),Q_3+1.5(IQR)]=[7-1.5(2),9+1.5(2)]=[4,12][/tex]

All the data lie in [4,12], therefore Asian elephant  has no outliers.

The data set for African elephant is

4, 6, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 14, 14

Divide the data set in 4 equal parts.

(4, 6, 7, 7, 8, 8, 8), 9,( 9, 9, 10, 10, 10, 10, 11), (11, 11, 11, 11, 11, 12, 12), 12, (12, 12, 12, 13, 13, 14, 14)

[tex]Q_1=9, Median=11, Q_3=12[/tex]

IQR of the African elephant is

[tex]IQR=Q_3-Q_1=12-9=3[/tex]

IQR of the African elephant is 3.

[tex][Q_1-1.5(IQR),Q_3+1.5(IQR)]=[9-1.5(3),12+1.5(3)]=[4.5,16.5][/tex]

All the data lie in [4.5,16.5] except 4, therefore African elephant has lower outliers.

African have a greater IQR because there were some very short elephants.

Therefore the correct option is C.

Answer:

African Elephants have a greater IQR because there were some very short elephants (low outliers).

Step-by-step explanation:

Apex

Consider the graph below representing the map of a city. Create an efficient route through the city. Your path must travel every street. List the vertices in the order that you travel them.

Answers

Answer:

  ABCDEADBEC

Step-by-step explanation:

A path that traverses all streets exactly once is called an Euler path. It is only possible for a graph that has an even number of streets coming together at each vertex, or one that has an odd number of streets at only two vertices.

This map has an odd number of streets at vertices A and C, so those are suitable starting and ending points for the path. I find it convenient to travel the outside ring first, then fill in the inner paths that weren't previously traveled. The list of vertices for one possible path is shown above.

You have $60.00. You wish to buy a jacket costing $25.50. You would also like to buy a pair of shorts. There is 7% sales tax on clothing. What is the top tag price (excludes sales tax) you could pay for the shorts?

Answers

Answer:

The top tag price you could pay for the shorts = $32.71....

Step-by-step explanation:

Total amount = $ 60.00

Cost of jacket = $25.50

Sales tax = 7% = .07

First of all find the total price of the jacket including sales tax.

25.50* .07 = 1.79( this is the sales tax)

Now add this sales tax into the original price.

25.5 + 1.79 = 27.29

Total price of a jacket = $27.29

Now subtract the total amount by the amount of the jacket.

$60.00 - $27.29 = $32.71

Thus the top tag price you could pay for the shorts = $32.71....

24/643

A. 24 remainder of 17
B. 25 remainder of 19
C. 26 remainder of 19
D. 26 remainder of 18

Answers

I would possibly say D
The correct answer is C.

24 goes into 643 evenly 26 times.

24*26=624

643-624=19

Thus, the answer is 26 remainder of 19.

What is the difference between a parameter and a statistic? A parameter is an aspect of an individual subject or object being measured. A statistic is a numerical measurement describing data from a sample. A parameter is an aspect of an individual subject or object being measured. A statistic is a numerical measurement describing data from a population. A parameter is a numerical measurement describing data from a sample. A statistic is an aspect of an individual subject or object being measured. A parameter is a numerical measurement describing data from a sample. A statistic is a numerical measurement describing data from a population. A parameter is a numerical measurement describing data from a population. A statistic is a numerical measurement describing data from a sample. A parameter is a numerical measurement describing data from a population. A statistic is an aspect of an individual subject or object being measured.

Answers

Answer:

A parameter is a numerical measurement describing data from a population. A statistic is a numerical measurement describing data from a sample

Step-by-step explanation:

In statistics we have to deal with populations and samples to carry out our studies. A population is a large group under consideration and the elements or members of the population have some common features or attributes. For example, all the school going kids in a certain town will be considered a population. Sample on the other hand is a subset(a part) of the population. For example, all school going kids in the town aged 5-6 years will be considered a sample.

The term Parameter and Statistic are very similar as they represent some numeric description. Parameter represents the data of the entire population, while statistic represents that data of a sample. An easy way to remember this is to match the initials i.e. Parameter for Population and Statistic for Sample.

Considering this, we can say the correct answer is:

A parameter is a numerical measurement describing data from a population. A statistic is a numerical measurement describing data from a sample

Final answer:

A parameter is a numerical value describing a characteristic of a population whilst a statistic is a numerical value describing a characteristic of a sample. A population is any whole set, while a sample is a subset of the population.

Explanation:

The primary difference between a parameter and a statistic lies in the data they refer to. A parameter is a numerical measurement that describes a characteristic of a population. A population is the whole set of items or individuals that we are interested in. On the other hand, a statistic is a numerical measurement that describes a characteristic of a sample, where a sample is a subset of the population.

For example, if we were to measure the average height of all adult men in a certain city (the population), the resulting value would be a parameter. If we were to take a sample group of 100 men from that city and measure their average height, the resulting value would be a statistic.

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simplify: -2y + 3y2 – 3y + y

Answers

Answer:

2y

Step-by-step explanation:

-2y + 3y x 2  – 3y + y

= -4y + 3 x 2y

= 4y + 6y

= 2y

Answer: I hope it's right :3

Step-by-step explanation:

Look at the function f(x) = −x + 5. Which of the following describes the domain and range of the function and its inverse?

Answers

Answer:

The inverse is g(x)=-x+5.

Both f and g have domain and range all real numbers.

In interval notation that is [tex](-\infty,\infty)[/tex]

Step-by-step explanation:

f(x)=-x+5 is a linear function.

Since isn't f(x)=constant then it is diagonal so this means the range is all real numbers.

For any linear function, the domain will be all real numbers.  

So to find the inverse of y=-x+5, you interchange x and y and resolve for y.

y=-x+5

(interchange)

x=-y+5

(solve for y)

Subtract 5 on both sides:

x-5=-y

Multiplying both sides by -1:

-x+5=y

So the inverse is g(x)=-x+5. To find find the domain and range of the inverse function given you already did it for the original function, the sets are swapped.  The sets were the same here because they were both all real numbers.

Answer:

Domain of this function become R

Step-by-step explanation:

The matrix equation below can be used to solve a system of linear equations. What is the solution to the system? [6 4 9 6] [x y] =[1 3]

A. x=1/2, y= 1

B. x= 1/10, y= 1/5

C. The system has no solution

D. The system has infinite solutions

Answers

Answer:

C. The system has no solution.

C. The system has no solution.

When a system has no solution?

A system of linear equations has no answer whilst the graphs are parallel. A coordinate plane. The x- and y-axes both scale by way of one-1/2. A graph of a line is going through the factors 0, one and a half of and three, two.

No solution would suggest that there's no answer to the equation. it's miles not possible for the equation to be proper regardless of what price we assign to the variable. infinite answers would suggest that any value for the variable would make the equation authentic.

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A and B are monomials where A = 125 and B = 27p12. What is the factored form of A – B?

Answers

Answer:

Factored form of A-B is: (5-3p^4)(25+15p^4+9p^8)

Option A is correct.

Step-by-step explanation:

Given:

A= 125

B = 27p^12

To find: A-B

A-B = 125 - 27p^12

A-B=(5)^3-(3p^4)^3

We know that, a^3 - b^3 = (a-b)(a^2+ab+b^2)

Using this formula and finding factored form of A-B:

=(5-3p^4)((5)^2+(5)(3p^4)+(3p^4)^2)

=(5-3p^4)(25+15p^4+9p^8)

So, factored form of A-B is: (5-3p^4)(25+15p^4+9p^8)

Option A is correct.

PLS HELP SHOW ALL YOUR WORKING OUT BRAINLIEST! WILL BE GIVEN :D

Answers

Answer:

(a) Five

(b) Thirteenth

Step-by-step explanation:

We have the mean is 12.6 and

that 11 occurs 4 times, 12 occurs 7 times, 13 occurs 9 times, and 14 occurs f times.

How many children are there in all (that is the sum of the frequencies).

4+7+9+f

20+f

Alright so the mean could be found by doing:

[tex]\frac{4(11)+7(12)+9(13)+f(14)}{20+f}[/tex]

But we are given this is also equal to: 12.6.

So we have

[tex]\frac{4(11)+7(12)+9(13)+f(14)}{20+f}=12.6[/tex]

I'm going to simplify what I can on top.

[tex]\frac{245+14f}{20+f}=12.6[/tex]

I'm going to write 12.6 as [tex]\frac{12.6}{1}[/tex] because I want to cross multiply:

[tex]\frac{245+14f}{20+f}=\frac{12.6}{1}[/tex]

[tex](245+14f)(1)=12.6(20+f)[/tex]

Distribute:

[tex]245+14f=252+12.6f[/tex]

Subtract 12.6f on both sides:

[tex]245+1.4f=252[/tex]

Subtract 245 on both sides:

[tex]1.4f=7[/tex]

Divide both sides by 1.4:

[tex]f=5[/tex]

There are five 14 years old.

(b) I would say 13 is good age to represent this bunch.

The means was 12.6 which when rounded is 13.

The mode is 13 because it is the most occurring

The median is also 13. Why? If you list out the data 13 will be the middle number. Or you could say there are 25 kids and if I divide it by 2, I get 12.5.  This means you only need to count to the 13th kid with the ages in order to tell with the median is.

There are 4 eleven yr olds.

There are 7 twelve yr olds.  That is 11 kids so far.

So the median has to be included in the 9 thirteenth yr olds.





15. The container shown in the figure is filled with a liquid that weighs 50 g. Find its density.


A. 5 g/cm3
B. 7900 g/cm3
C. 0.006 g/cm3
D. 157 g/cm3

Answers

Answer:

  C.  0.006 g/cm³

Step-by-step explanation:

As the units tell you, density is the ratio of mass to volume. The volume of the container is found from ...

  V = πr²h = π(10 cm)²(25 cm) = 2500π cm³

Then the density is ...

  ρ = (50 g)/(2500π cm³) = 1/(50π) g/cm³

  ρ ≈ 0.006 g/cm³

_____

Comment on the problem

The "liquid" has about the same density as air pressurized to 75 psi.

Can someone confirm is this answer is right?

Ari thinks the perfect milkshake has 3 ounces of caramel for every 5 scoops of ice cream. Freeze Zone makes batches of milkshakes with 6 ounces of caramel and 8 scoops of ice cream. What will Ari think about Freeze Zone's milkshakes?

Answers

Ari will think that there is not enough ice cream for the amount of caramel.

3:5 and 6:8 are not equivalent

But let's prove that;

We know that 3 x 2 is 6, so let's multiply 3 x 2 and 5 x 2, when we do so, we get 6:10.

6:10 is greater than 6:8, so there is obviously less ice cream for the amount of caramel.

How to factor a trinomial with a degree of 3

Answers

Answer:

Step-by-step explanation:

It all depends upon what the terms are.  If each term of the 3 all have a variable you can factor out, then you'd do that first.  For example, if your trinomial looks like this:

[tex]x^3+3x^2+4x[/tex]

you would begin by factoring out the common x, reducing the third degree polynomial to a quadratic which can then be factored many ways.

[tex]x^3+3x^2+4x=x(x^2+3x+4)[/tex]

If that is not the case, then you are factoring higher degree polynomials, and the way I always recommend to my students is the Rational Root Theorem and then synthetic division.

Several paint mixtures are made by mixing blue paint and white paint.

Mixture A-
Blue Paint - 5 cups
White Paint - 12 cups

Mixture B-
Blue Paint- 6 cups
White Paint- 6 cups

Mixture C-
Blue Paint - 4 cups
White Paint - 12 cups

Mixture D-
Blue Paint - 5 cups
White Paint - 6 cups

Which mixture has the lowest ratio of blue paint to white paint?
mixture A
mixture B
mixture C
mixture D

Answers

Answer:

c

Step-by-step explanation:

5/12, 1, 1/3, 5/6. 1/3 is the smallest.

Answer with Step-by-step explanation:

Mixture A-

Blue Paint - 5 cups

White Paint - 12 cups

Ratio of blue paint to white paint=5:12

Mixture B-

Blue Paint- 6 cups

White Paint- 6 cups

 Ratio of blue paint to white paint=6:6=12:12  

(on multiplying numerator and denominator by 12 i.e.6/6=12/12)

Mixture C-

Blue Paint - 4 cups

White Paint - 12 cups

 Ratio of blue paint to white paint=4:12

Mixture D-

Blue Paint - 5 cups

White Paint - 6 cups

Ratio of blue paint to white paint=5:6=10:12

(on multiplying numerator and denominator by 12 i.e.5/6=10/12)

The denominator of the ratios are same in each mixture now,to determine the lowest ratio we have to see the numerator with smallest value which is 4

Hence, Mixture C has the lowest ratio of blue paint to white paint

PLEASEE HELP!!
The equation of a hyperbola is .
The equations of the asymptotes of the hyperbola are and .

Answers

Answer:

y = 3(x + 2) + 2 and y = -3(x + 2) + 2

Step-by-step explanation:

* Lets revise the equation of the hyperbola with center (h , k) and

 transverse axis parallel to the y-axis is (y - k)²/a² - (x - h)²/b² = 1

- The coordinates of the vertices are  (h , k ± a)

- The coordinates of the co-vertices are (h ± b , k)  

- The coordinates of the foci are (h , k ± c) where c² = a² + b²

- The equations of the asymptotes are  ± a/b (x - h) + k  

* Lets solve the problem

∵ The equation of the hyperbola is (y - 2)²/9 - (x + 2)² = 1

∵ The form of the equation is (y - k)²/a² - (x - h)²/b² = 1

h = -2 , k = 2  

∴ a² = 9

a = √9 = 3

∴ b² = 1

b = √1 = 1

∵ The equations of the asymptotes are y = ± a/b (x - h) + k  

∴ The equations of the asymptotes are  y = ± 3/1 (x - -2) + 2

∴ The equations of the asymptotes are  y = ± 3 (x + 2) + 2    

* The equations of the asymptotes of the hyperbola are

  y = 3(x + 2) + 2 and y = -3(x + 2) + 2

Answer: I just did this quiz in Plato the correct answer is in the pic I did this question 3 times because I listened to the other people and finally got the answer which is the correct one, Hope this helps :)

Step-by-step explanation:

Find the GCF.

36x3 and 48x4

Answers

Answer:

GCF of 36x^3 and 48x^4 is 12x³....

Step-by-step explanation:

To find the GCF of 36x3 and 48x4 we have to perform prime factorization of both the terms:

Prime Factorization of 36x³ = 2*2*3*3*3*x*x*x

Prime factorization of 48x^4 = 2*2*2*2*3*x*x*x*x

Thus the common factors are 2*2*3*x*x*x

Therefore GCF of 36x^3 and 48x^4 is 12x³....

Answer:

it is 12x^3

Step-by-step explanation:

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