Mathematics High School

Find the smallest possible set (i.e., the set with the least number of elements) that contains the given sets as subsets. {jill, john, jack}, {susan, sharon}

Answers

Answer 1
{Jill, John, Jack, Susan, Sharon}
Subsets make up the main set, so basically combine the subsets together.
Answer 2

The smallest possible set that contains the given sets as subsets is,

⇒ {jill, john, jack, Susan, sharon}

What is mean by Subsets?

A set 'A' is a subset of another set 'B' , if all the element of the set A are element of set of 'B'.

Given that;

The subsets are;

⇒ {jill, john, jack} , {Susan, sharon}

Now,

Clearly, A subsets of a set is contain all the elements of subsets.

So, We get the set;

Set = {jill, john, jack, Susan, sharon}

Thus, The smallest possible set that contains the given sets as subsets is,

⇒ {jill, john, jack, Susan, sharon}

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Related Questions

The area of a triangle is 36 square meters. The base is 1 meter less than the height. What is the height of the triangle?

Answers

area = 1/2 * base * height = 1/2 b h

b = h - 1 so:-

36 = 1/2 * h * (h - 1)
h(h - 1) = 72
h^2 - h - 72 = 0
(h - 9)(h + 8)

so h = 9 or -8  ( height cannot be negative so h = 9

Answer is 9 meters



Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none. please help asap

Answers

None, the last choice since the angles given only relate to one common large angle.

Answer:

option C

Step-by-step explanation:

In the figure attached, the given quadrilateral will be parallelogram if the given angles ∠7 = ∠3 and ∠8 = ∠4 ( alternate angles ) or ∠1 = ∠5 and ∠2 = ∠6 ( alternate angle )

But the given angles are ∠7 and ∠8 which represent a big angle A when combined.

Therefore, option C  none will be the answer.

Verify the identity.

tan x plus pi divided by two = -cot x

Answers

recall that sin(π/2) = 1, and cos(π/2) = 0,

[tex]\bf \textit{Sum and Difference Identities} \\\\ sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta) \\\\ sin(\alpha - \beta)=sin(\alpha)cos(\beta)- cos(\alpha)sin(\beta) \\\\ cos(\alpha + \beta)= cos(\alpha)cos(\beta)- sin(\alpha)sin(\beta) \\\\ cos(\alpha - \beta)= cos(\alpha)cos(\beta) + sin(\alpha)sin(\beta)\\\\ -------------------------------\\\\ [/tex]

[tex]\bf tan\left(x+\frac{\pi }{2} \right)=-cot(x)\\\\ -------------------------------\\\\ tan\left(x+\frac{\pi }{2} \right)\implies \cfrac{sin\left(x+\frac{\pi }{2} \right)}{cos\left(x+\frac{\pi }{2} \right)} \\\\\\ \cfrac{sin(x)cos\left(\frac{\pi }{2} \right)+cos(x)sin\left(\frac{\pi }{2} \right)}{cos(x)cos\left(\frac{\pi }{2} \right)-sin(x)sin\left(\frac{\pi }{2} \right)}\implies \cfrac{sin(x)\cdot 0~~+~~cos(x)\cdot 1}{cos(x)\cdot 0~~-~~sin(x)\cdot 1} \\\\\\ \cfrac{cos(x)}{-sin(x)}\implies -cot(x)[/tex]

Which expression makes the equation true for all values of X? 16 X -16 =4(?)

Answers

we have that

16*X -16 =4---------------- > X=[4+16]/16
X=[4+16]/16----------------> X=20/16=1.25
X=1.25

the answer is X=1.25

Which quadratic regression equation best fits the data set?

Answers

The 4th selection is appropriate.

_____
Desmos.com has a wonderful graphing calculator. They also have apps for Android and iOS phones and tablets. Of course, your TI-83/84 or equivalent will do this, too.

Answer:

D. [tex]y=1.87x^2-5.16x+10.54[/tex]

Step-by-step explanation:

The data set is given by,

x                                               y

1                                               5.9

2                                              8.9

3                                              13.4

4                                              20.1

5                                              30.1

6                                              45.1

7                                              67.7

Using the regression calculator, we see that,

The quadratic equation that best fits the data is [tex]y=1.87x^2-5.16x+10.54[/tex] as shown below.

Thus, option D is correct.

Suppose that an individual has a body fat percentage of 18.9% and weighs 149 pounds. How many pounds of her weight is made up of fat? Round your answer to the nearest tenth.

Answers

18.9% 0f 149 pound = 0.189 x 149 = 28.2 pounds

How measuring angles could be useful in thge real world?

Answers

carpentry, and gardening.  land surveying. 

Arthur buys a zero coupon bond with a face value of $5000 for $4000. The bond has five years until it matures. How much would Arthur earn if he holds this bond to maturity?

Answers

Answer: $1,000

Explanation:

In bonds, the face value is the value of bond when it is held to maturity. Since the face of the bond is $5,000, the value of Arthur's bond when he holds it until maturity is $5,000. 

To get Arthur's earnings by holding his bond until maturity, we subtract the face value to the amount he paid for the bond. Since the face value is $5,000 and he paid $4,000 for that bond, he earned $1,000 for the bond because $5,000 - $4,000 = $1,000.

Round 6541 to the nearest thousand

Answers

7000, is the answer hope it helps

To round 6541 to the nearest thousand, identify the place value and look at the hundreds place. The answer is 6000.

Rounding 6541 to the nearest thousand:

Identify the place value you are rounding to, which is the nearest thousand.

Look at the hundreds place since we are rounding to the nearest thousand. In 6541, the hundreds digits is 5, so the thousands digit remains 6, and all digits after that become 0. Therefore, 6541 rounded to the nearest thousand is 6000.

Fifty students in the third-grade class listed their hair and eye colors in the table below: Brown hair Blonde hair Total Blue eyes 14 8 22 Brown eyes 16 12 28 30 20 50 Are the events "blonde hair" and "blue eyes" independent?
A) Yes, P(blonde hair) • P(blue eyes) = P(blonde hair ∩ blue eyes)
B) Yes, P(blonde hair) • P(blue eyes) ≠ P(blonde hair ∩ blue eyes)
C) No, P(blonde hair) • P(blue eyes) = P(blonde hair ∩ blue eyes)
D) No, P(blonde hair) • P(blue eyes) ≠ P(blonde hair ∩ blue eyes)

Answers

If two events A and B are independent, then P(A)*P(B) = P(A∩B).  
P(A) is the probability of being blonde.
P(B) is the probability of having blue eyes.
P(A∩B) is the probability of being blonde with blue eyes.

P(A)*P(B) = (20/50)*(22/50) = 440/2500 = 22/125.
P(A∩B) = 8/50.
These two probabilities are not equivalent; 22/125=0.176, while 8/50=0.16.  Our answer is D.

Answer: the answer is D

Step-by-step explanation:

3500 calories for 6 servings of pie how many calories per serving

Answers

583.33 its just 3500 divided by 6
3500 colories divided by 6 servings of pie 
3500/6
=583.33

Solve the following automotive-services problem.
Resistance = 0.1 ohm
Current = 60 amps
Voltage = ______ ?
A. 0.6
B. 6 60
C. 600

Answers

0.6 i hope this is theanswwerf 2etrjfghure
A. 0.6 is the answer

1. What is the constant of variation for the relationship f(x) = 40x?


2. Which equation is the direct variation equation if f(x) varies directly with x and f(x) = -12 when x=6

Answers

1. The coefficient of x is the constant of variation. It is 40.

2. -12 = -2*6 . . . . . you know this because you know your times tables
.. f(x) = -2x

Write and solve an equation to answer the question. "18 is 32% of what number w"

Answers

Equation: 18 = 0.32w

18 * 32/100 = w
w = 56.25

Hope this helps!

The value of 32% of 18 is equal to 56.25.


What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 18 is 32% of the number w. The value of w will be calculated as:-

18 x  32/100 = w

Solve the above equation by mathematical operations to get the value of w,

18 x  32/100 = w

w = 56.25

Therefore, the value of w will be 56.25.

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Find the value of a in the parallelogram.

Answers

First, turn both expressions into an equation
6a-4=2a+56
---------------
Now solve
Subtract 2a from each side
6a-4-2a=2a+56-2a
4a-4=56
----------------------
Add 4 to each side
4a-4+4=56+4
4a=60
---------------------------
Divide each side by 4
4a ÷ 4 = 60 ÷ 4
a = 15

A local magazine is offering a $2,500 grand prize to one lucky winner. $1,000 will be paid on the day of the drawing. the remaining $1,500 will be paid in three annual payments of $500 each, starting one year after the drawing. how much would this prize be worth to you if you can earn 9 percent on your money?

Answers

This problem considers simple interest formula. It is:
[tex]A=I*( 1+ \frac{r}{100} )^{n} [/tex]
Where
A= total amount after some time
I = initial amount
r = rate
n = number of years

Total prize we will receive is:
Total = $1000 + $500 after one year + $500 after two years + $500 after three years.

Now we need to calculate how much we will earn after each year:
Year 1:
[tex]A=500* (1+ \frac{9}{100})^{1} = 545[/tex]
Year 2:
[tex]A=500* (1+ \frac{9}{100})^{2} = 594,05[/tex]
Year 3:
[tex]A=500* (1+ \frac{9}{100})^{3} = 647,51[/tex]

So total amount is:
Total = $10000 + $545 + $594,05 + $647,51
Total = $2786,56

Pencils sells for 98 cents per dozen. how much more per pencils

Answers


[tex].98 \div 12 = .08[/tex]

I Put 45 Points!!


Use what you have learned from this chapter to make a model boat out of a 10-cm square piece of foil. Test your model boat in a tank of water to see how many pennies it can support before sinking. Compare the performance of your boat with those of your classmates. Suggest several design improvements based on your results. Respond to at least one other students posting giving suggestions on how the model of their boat or yours could be improved to increase buoyancy.

Answers

So basically they are asking you to make a model boat out of a 10-cm square piece of foil, according to what it says in the book you have read.


Then just follow the instructions they give to you, like so: 

1. Test your model boat in a tank of water to see how many pennies it can support before sinking.

Then, after you do that (theres no need to record a video or take a picture thats up to you) all you have to do is: 

Talk about how the model of your boat could be improved, or made better to one of your classmates (but post it on the discussion board) 

The histogram represents the distributions of rain amounts in two cities. Which best explains how the histogram is useful for comparing the shapes of the data sets? It is easier to visually compare the means of the data. It is easier to visually compare the standard deviations of the data. It is easier to visually compare the medians of the data. It is easier to visually compare symmetry and skew of the data.

Answers

It is easier to visually compare symmetry and skew of the data.

Answer:

It is easier to visually compare symmetry and skew of the data.

Step-by-step explanation:

Given that the histogram represents the distributions of rain amounts in two cities.

Histogram enables us to have a visual idea easily understandable about the pattern of the distribution.

The important points are whether the distribution is symmetrical or right/left skewed.

Mean, median, std deviations cannot be found easily by justing seeing the histograms.

Hence correct answer is

It is easier to visually compare symmetry and skew of the data.

On Monday Mrs. Wise bought 3 lbs of apples at $4 per lb. On Tuesday, apples were on sale for 20% off so she bought another 5 lbs. How much money did Mrs. Wise spend on apples on Tuesday?

Answers


[tex]0.80 \times 4 = 3.2[/tex]
find 80% (20% less) of 4

[tex]3.2 \times 5 [/tex]
multiply the reduced price by the number of lbs she bought.

I need help!!!! Please if you get it right i will mark you brainliest!

Answers

if both are negative then it is located on the 3rd quadrant


hope this helps
An example of a point that has x < 0 and y < 0 is (-1,-1).
(-1,-1) would lie in Quadrant III (3).

So, if x < 0 and y < 0, the point (x,y) would be located in Quadrant III.

How do you Simplify a4 x a5

Answers

Add the powers - a^9, in this case.

The simplification of the given expression by the law of indices will be a⁹.

What is the law of indices?

Index (indices) in Maths is the power or exponent which is raised to a number or a variable.

In other words, the mathematics of power or exponent of any number is called indices.

Another example could be 7² = 7³/7 here we divide to obtain power 2.

As per the given expression,

a⁴ × a⁵

By the law of indices that [tex]a^{m} \times a^{n} = a^{m+n}[/tex].

a⁴ × a⁵ = a⁽⁴ ⁺ ⁵⁾ = a⁹

Hence "The simplification of the given expression by the law of indices will be a⁹".

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The ratio of girls to boys in a classroom is 3:5. Kevin says there must be 8 students in the classroom. Which explains whether Kevin is correct?

Answers

ANSWER : C (3rd option)

Kevin is incorrect because 3:5 may be a simplified ratio.

Kevin is incorrect because 3:5 may be a simplified ratio. Option C is correct.

Given that,
The ratio of girls to boys in a classroom is 3:5. Kevin says there must be 8 students in the classroom. Which explains whether Kevin is correct is to be determined,

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here, the ratio of girls to boys is 3:5, Which implies there are 3 girls over 5 boys in the number, This is the simplified ratio of the girls to boys of the students in the class. So, Kevin says there must be 8 students in the classroom which is right, but Kevin does not explain the proportion in his statement,


Thus, Kevin is incorrect because 3:5 may be a simplified ratio. Option C is correct.

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Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?

Answers

Answer:

-12 and 2

Step-by-step explanation:

[tex]x^2+10x=24\\[/tex]

[tex]x^2+2*5*x=24[/tex]

[tex]x^2+2*5*x+5^2-5^2=24[/tex]

[tex](x^2+2*5*x+5^2)-5^2=24[/tex]

Using the identity

[tex]a^2+2*a*b+b^2 = (a+b)^2[/tex]

we get

[tex](x+5)^2-5^2=24[/tex]

[tex](x+5)^2-25=24\\[/tex]

[tex](x+5)^2=24+25\\(x+5)^2=49\\(x+5)=+7 \\or (x+5)=-7\\[/tex]

Solving both of them we get

x=-12 or x=2

Can someone help me with this problem?

Answers

5/7, I don't know what that is as a decimal, but I hope it helps
120 / 840 which equals 0.1429 (Rounded to 4 d.p)

Look at the picture below // 99 points // PLEASEE HELPP

Answers

split the figure into 2 rectangles

area = (5 x 6) + ((15 x 6)
area = 30 + 90
area = 120

answer
D. 120 square units
90 + 30 = 120.................

What is the slope of any line parallel to y = 4x + 17

Answers

This equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Also, slopes of parallel lines are the same.

In this equation, m = 4. So, the slope of any line parallel to y = 4x + 17 is 4.

Hope this helps! (:
Answer:
Slope of any line parallel to the given line is 4

Explanation:
The general form of the linear line is:
y = mx + c where m is the slope
The given line is:
y = 4x + 17
Comparing the given line with the general formula, we would find that:
slope of the line (m1) = 4

Now, for any two lines to be parallel, their slopes must be equal.
This means that:
m1 = m2
We have m1 = 4, therefore:
m2 = 4 for the two lines to be parallel.

Hope this helps :)

What’s one way we can check our answer to 2x10=20

Answers

You can divide 20 by 10 and you should get 2, or do 20 divided by 2 and get 10.
2 x 10 = 20

to check:
20 ÷ 10 = 2
20 ÷ 2 = 10

Hope this helps :)

A company is selecting students for interviews at the career fair. The number of students selected from university A is given by f(x) = 4x + 5, where x represents the number of days of the fair. The number of students selected from university B is given by g(x) = 2x + 8. Which function best describes the total number of students selected at the career fair?
a. h(x) = (4x + 5)(2x + 8)
b. h(x) = 2x - 3
c. h(x) = -2x + 3
d. h(x) = 6x + 13

Answers

Number of students selected from University A:
f(x)=4x+5
Number of students selected from University B:
g(x)=2x+8

So total number of students selected from both universities:
h(x)= f(x)+g(x)
Put values
h(x)=4x+5+2x+8
h(x)=6x+13

Option D is correct.

Answer:

B, for plato students that is

Step-by-step explanation:

laissez faire is the term used to describe a capitalist economy without any regulations

Answers

Not really, it has regulations. Only difference is the power is among the people instead of having a single ruler or governing body

Information about Laissez-faire's economy is given.

What is a Laissez-faire economy?  

Laissez-faire is a free-market, capitalist economic theory that rejects government interference. The French Physiocrats, who lived in the 18th century, created the laissez-faire ideology. According to proponents of laissez-faire, government involvement in industry and markets hinders economic progress.

Laissez-Faire capitalism allowed businesses to pursue just their financial goals without having to worry about restrictions from the state or taxes. Naturally, this might induce unfavorable externalities and knowledge asymmetries that could enable producers to act badly and get away with it. Laissez-Faire proponents contend that since the market would eliminate such undesirable actors, extensive and expensive regulation is not necessary. However, in practice, negative actors might carry on their operations for a very long time. Without government testing and regulatory oversight to safeguard consumers, for instance, it could not be known if a vitamin manufacturer is putting sawdust in place of herb powder in their capsules.

Therefore, In real world the laissez-faire is a capitalist economy have regulations.

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