Help me pwes I need it.

Help Me Pwes I Need It.

Answers

Answer 1

Answer:

1/10

when you do the LCM you get 70

divide each fraction by 70 and you will get the least to be a tenth


Related Questions

A company interviewed 21 applicants for a recent opening. Of these applicants, 7 wore blue and 6 wore white, while 5 applicants wore both blue and white. What is the number of applicants who wore neither blue nor white?
A.1
B.6
C.12
D.13

Answers

Answer: D

Step-by-step explanation:

21=7+6+neither-5

7+6=13-5=8

21-8=13

6 · 6 · 6 · 6 = 1,296. Using exponents, write two more expressions that also have a value of 1,296.

Answers


36^2 = 1296
1296^1 = 1296

Oxygen flows through one tube into a liter flask filled with air, and the mixture of oxygen and air (considered well stirred) escapes through another tube. Assuming that air contains 4% oxygen, what percentage of oxygen will the flask contain after 5 L have passed through the intake tube?

Answers

The amount of oxygen in the flask through the intake tube illustrates proportions

The flask 99.35% will contain of oxygen after 5L have passed through the intake tube

How to calculate the percentage of oxygen?

To do this, we make use of the following representations

P for the proportion of oxygenV for te volume of oxygenx for the proportion of oxygen in the flask after 5 L passed through

So. we have the following derivative

dP = dV - P * dV

Divide through by dV

dP/dV  = 1 - P

Next, we set up the integral

[tex]\int\limits^x_{0.040} \frac {1}{1 - P}dP= \int\limits^5_0 {dV}[/tex]

Integrate both sides

[tex]-\ln(|P - 1|)|\limits^x_{0.04} = 5[/tex]

Expand

-ln(|x - 1|) + ln(|0.04 - 1|) = 5

Evaluate the difference

-ln(|x - 1|) + ln(|-0.96|) = 5

Express as a fraction

ln(0.96/|x - 1|) = 5

Express both sides as exponents with a base of 2

e^ln(0.96/|x - 1|) = e^5

Solve for x

x = 1 - 0.96/e^5

Evaluate the difference

x = 0.9935

Express as percentage

x = 99.35%

Hence, the flask 99.35% will contain of oxygen after 5L have passed through the intake tube

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A train leaves Philadelphia at 2:00 PM. A second train leaves the same city in the same direction at 4:00 PM. The second train travels
52 mph faster than the first. If the second train overtakes the first at 6:00 PM, what is the speed of each of the two trains?

Answers

Answer: First train speed shall be 42 mi/hr

Second train speed shall be 84 mi/hr

Yes it is the valid answer, it gets annoying when almost everyone enters the wrong answer for a good laugh. Either way, hope this helps! Have a spectacular day.

Step-by-step explanation:

What is the 1st train's head start in miles?

Let +s+ = the speed of the 1st train in mi/hr

From 2PM to 4PM is 2 hrs

+d%5B1%5D+=+s%2A2+

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

Let +d+ = distance the 2nd train travels until

it overtakes the 1st train

From 4PM to 6PM is 2 hrs

Start time when the 2nd train leaves

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

Equation for 1st train:

(1) +d+-+2s+=+s%2A2+

Equation for 2nd train:

(2) +d+=+%28+s%2B42+%29%2A2+

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

Substitute (2) into (1)

(1) +%28+s%2B42+%29%2A2+-+2s+=+s%2A2+

(1) +2s+%2B+84+-+2s+=+2s+

(1) +2s+=+84+

(1) +s+=+42+

and

+s%2B+42+=+42+%2B+42+

+s+%2B+42+=+84+

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

The 1st train's speed is 42 mi/hr

The 2nd train's speed is 84 mi/hr

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

check:

(2) +d+=+%28+s%2B42+%29%2A2+

(2) +d+=84%2A2+

(2) +d+=+168+

and

(1) +d+-+2s+=+s%2A2+

(1) +d+-+2%2A42+=+42%2A2+

(1) +d+=+84+%2B+84+

(1) +d+=+168+

i need help on a math question thank u

Answers

Answer:

XZ is longer than XY

Step-by-step explanation:

First we can notice all of the answers consist of knowing the lengths, so we must now find the lengths for each segment. To do this, we must use the pythagorean theorem.

(1, -1) and (-5, -5)

-5- -1 = -4

-5-1 = -6

-4^2+-6^2 = c^2

16+36 = c^2

52 = c^2

7.21110255 = c

So, the length of XZ is 7.21110255 units long

(1, -1) and (8, -2)

8-1 = 7

-2--1 = -1

7^2+-1^2 = c^2

49+1 = c^2

50 = c^2

7.07106781 = c

So, the length of XY is 7.07106781 units long.

XZ is longer than XY

how does the distributive property work

Answers

Explanation:

The distributive property tells you that multiplication distributes over addition. In equation form, it looks like ...

  a(b +c) = ab +ac

__

Groups and Multiples of Groups

The parentheses are a grouping symbol. In the above equation, they indicate that the sum (b+c) is to be treated as a group. When it is multiplied by 'a', everything in the group is multiplied by 'a'.

In the real world, there are many ways things are grouped. Baseball cards are packaged together with bubble gum; Cracker Jacks® are packaged together with a prize; left gloves are packaged together with right gloves; a bicycle is a package that has a frame, 2 wheels, a seat, handlebars. If you purchase a number of any of these packages, each of the items in the package is part of your purchase that number of times.

For example, 3 bicycles will have 3 frames, 3×2 = 6 wheels, 3 seats, 3 sets of handlebars. In algebraic form, this might look like ...

  3(f +2w + s + h) = 3f +6w +3s +3h

__

Eliminating Parentheses

Using the distributive property to eliminate parentheses is like regrouping the contents of the packages so like items are grouped together. In our above example, the 3 frames were grouped together when we considered that part of the group of 3 bicycles. The multiplier multiplies every member of the group.

__

Adding Parentheses

The reverse of the distributive property tells us we can regroup items into sets. It tells us we can take 3 frames, 6 wheels, 3 seats, and 3 handlebars and group them together in a way that makes 3 bicycles, each having a frame, 2 wheels, a seat, and handlebars.

  3f +6w +3s +3h = 3(f +2w + s + h)

Often, we're asked to choose the multiplier to be the greatest common factor (GCF) of the numbers of things in the group. That makes each group as small as possible. The multiplier only needs to be a common factor, not necessarily the greatest common factor.

what is a question that is easier to answer using a stem-and-leaf plot than a dot plot?

Answers

Answer:

steam plot

Step-by-step explanation:

because the stem plot is easy to use

Answer:

When you use large numbers and don't have categories.

Step-by-step explanation:

Take these: 23, 27, 29, 35, 36, 41, 47, 48, 52. It is better as a stem and leaf.

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

2 ][ 3 7 9

3 ][ 5 6

4 ][ 1 7 8

5 ][ 2

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

If you use dot plot, it is recommended use amounts under 10.

A 40-kilogram bag of seed is spread evenly about the entire yard. How much, in kilograms, of the seed will NOT be watered? Use: Percentage = watered squares / Total # of Square X 100

Answers

The computation of the percentage shows that the kilograms of seed that won't be watered is 12 kilograms.

How to calculate the percentage?

Your information is incomplete. Therefore an overview will be given. Let's assume that the watered squares are 35 while the total squares are 50.

Then, the percentage of the watered squares will be:

= 35/50 × 100

= 70%

Therefore, the percentage of the unwatered squares will be:

= 100% - 70%

= 30%

Then, the kilograms of the seed that won't be watered will be:

= Percentage of unwatered seed × Entire kilograms of seed

= 30% × 40kg

= 12kg

In conclusion, the seed that won't be watered is 12 kg.

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Whats the value of the question

Answers

Answer:

8

----

125

Step-by-step explanation:

(2/5)³

2      2     2          8

--- x --- x ---  =  ---------

5      5     5         125

I hope this helps!

>> The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the
same price, d.
Which model represents the situation?
10
d
d
d
19
.) What is the price of one drink?
d
?

Answers

Answer:

d = 3

Step-by-step explanation:

According the figure:

10 + d + d + d = 19d = 3

Answer Check Below:

⇒ 10 + 3 = 13

⇒ 13 + 3 = 16

⇒ 16 + 3 = 19

Therefore, d = 3.

Answer:

$3

Step-by-step explanation:

⇒ 10 + 3d = 19 is represented by the figure⇒ 3d = 9⇒ d = 3The price of one drink is $3

In the diagram, the length of Line segment Y Z is twice the length of Line segment A Z.

Triangle X Y Z is shown. Angle X Y Z is a right angle. An altitude is drawn from point Y to point A on size Z X to form a right angle.

Line segment Y A is an altitude of ΔXYZ. What is the length of Line segment Y A?

5 StartRoot 3 EndRoot units
10 StartRoot 3 EndRoot units
15 units
20 units

Answers

Answer:

5 startrood 3 endroot units .

The length of YA from the figure is 10√3 units

Pythagoras theorem

According to the pythagoras theorem;

YZ² = AZ² + YA²

Given that YZ = 2AZ, hence;

20²  = 10² + YA²

YA²  = 400 - 100
YA²  = 300

YA = √300

YA = 10√3 units

Hence the length of YA from the figure is 10√3 units

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hey guys can you please help me with these questions​ please explained them

Answers

B for question 12

B for question 13

Step-by-step explanation:

U = Union

n= intercestion

B'= not b

A"= not a

so AnB'

should be B

if 2.50 = 1

2.50x8=

20

1×8 =

8

should be $8

3. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations described below. a. The account pays 3% annual interest compounded monthly. b. The account pays 4% annual interest compounded continuously.​

Answers

Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
[tex]\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}[/tex]

Where A is the final amount, P is the initial amount, r is the interest rate, n is the number of times compounded per year, and t is the number of years.

To obtain $4000 after two years, let A = 4000 and t = 2.

Because the account pays 3% interest compounded monthly, r = 0.03 and n = 12.

Substitute and solve for P:

[tex]\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}[/tex]

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

[tex]\displaystyle A = Pe^{rt}[/tex]

Where e is Euler's number.

Hence, let A = 4000, r = 0.04 and t = 2. Substitute and solve for P:

[tex]\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}[/tex]

In conclusion, about $3692.47 should be deposited.

18.
Given that sin x =
8
and sin y = , where x and y are acute, find the value of cos (x + y).
17
A.
B.
130
221
140
221
140
204
220
22
C.
D.

Answers

Answer:

B

Step-by-step explanation:

[tex]\sin{x}=\frac{5}{13}, \cos{x}=\sqrt{1-(\frac{5}{13})^2}=\frac{12}{13}[/tex]

[tex]\sin{y}=\frac{8}{17}, \cos{y}=\sqrt{1-(\frac{8}{17})^2}=\frac{15}{17}[/tex]

[tex]\cos(x+y)=\cos{x}\cos{y}-\sin{x}\sin{y}\\=\frac{12}{13}\times\frac{15}{17}-\frac{5}{13}\times\frac{8}{17}\\=\frac{140}{221}[/tex]

Calculate the determinant of this matrix:
What is the first step?

Step 1: Augment the matrix by copying columns 1 and 2 to the right of the matrix

Step 2: Find the products along the main diagonals
d1= 4
d2= 0
d3= 3

Step 3: Find the products of the minor diagonals
e1= 0
e2= 16
e3= 2

Step 4; Perform the final calculation

d1+d2+d3-e1-e2-e3= -11

(Got them all right on edge 2022)

Answers

Why did you ask this, but also answer it?- Lol thank you for the points though I guess...

Answer:

thank you they are all correct!

Step-by-step explanation:

find the value of x ​

Answers

Answer:

See below, please

Step-by-step explanation:

[tex](2x + 9) + (4x - 3) = 90[/tex]

[tex]6x + 6 = 90[/tex]

[tex]6x = 90 - 6 = 84[/tex]

Hence

[tex]x = 14[/tex]

Eva filled a bucket with 7 gallons of water. A few minutes later, she realizes only 1 3/5 of water remained. How much water had leaked out of the bucket?

Answers

Answer:

[tex]6 \frac{2}{5}[/tex]

Step-by-step explanation:

[tex]7 - 1 \frac{3}{5} = 6 \frac{2}{5}[/tex]

For a class activity, a teacher put students into teams of 5. The teams were made up of 2 students randomly chosen from group A and 3 students randomly chosen from group B.

If group A has 4 students and group B has 6 students, how many different team combinations were possible?

Enter your answer as a number, like this: 42

Answers

Answer:

120

Step-by-step explanation:

6p3 = 120

The number of the different combinations of the teams will be 26.

What are permutation and combination?

A permutation is an act of arranging objects or numbers in a particular order. Combinations are a method of selecting objects or numbers from a group of objects or collections without regard for their order.

Given that for a class activity, a teacher put students into teams of 5. The teams were made up of 2 students randomly chosen from group A and 3 students randomly chosen from group B. If group A has 4 students and group B has 6 students,

The number of possible combinations will be calculated as,

C = ⁶C₃ + ⁴C₂

C = ( 4 x 3 ) / 2 + ( 6x 5 x 4 ) /( 3x 2 )

C = 6 + 20

C = 26

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Solve and verify your answer.
A sludge pool is filled by two inlet pipes. One pipe can fill the pool in 11 days and the other pipe can fill it in 24 days. However, if no
sewage is added, waste removal will empty the pool in 32 days. How long (in days) will it take the two inlet pipes to fill an empty pool

Answers

Answer:

' =9 93/107 days

Step-by-step explanation:

1/11+1/24

one day =35/264

35/264 -1/32

=107/ 1056- fraction of rem in a day

1 day= 107/1056

x = 1

=107/1056x=1

x=1÷107/1056

1056÷107

=9 93/107 days

Given that the width is 4.5 units and the length can be represented by x + 3, which answer choice shows the correct expression of the area below?
Please just explain step by step how you got the answer.
!!! I WILL GIVE YOU 50 POINTS IF YOU SOLVE IT!!!

Answers

Step-by-step explanation:

the area of a rectangle is

length × width

that is in our case

(x + 3) × 4.5 = 4.5x + 4.5 × 3 = 4.5x + 13.5

remember, when multiplying 2 expressions, you multiply every term of one expression by every term of the other expression and then you add all these individual results up by considering the signs, of course.

José plotted points on a coordinate plane to represent the vertices of a rectangle. The first
two points José plotted are shown below.

Answers

Jose's rectangle must have equal and parallel opposite sides

The coordinates of the other points could be C(7,5) and D(7,1)

How to determine the other points?

The coordinates are given as;

A = (2,5).

B = (2,1).

To form a rectangle, each of the remaining points must have the same y-coordinates as points A and B.

So, we have:

C = (x,5)

D = (x,1)

Also, the remaining points must have the same x-coordinates.

i.e.

Cx = Dx

From the list of options, we have:

C(7,5) and D(7,1)

Hence, the coordinates of the other points could be C(7,5) and D(7,1)

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Marcus has 127 baseball cards in his collection. Gabriel has 56 cards in his collection. Gabriel divides his collection evenly among Marcus and 7 other friends. How many baseball cards does Marcus have now?

Use the drop-down menu to show the correct answer.

Marcus has
Choose...
baseball cards now.

Answers

Answer:

134

Step-by-step explanation:

Gabriel has 56 cards and divides them evenly among 8 friends, which means each person has 56/8= 7 cards.

So Marcus has 127 + 7 = 134 cards

The equation to model Exponential Growth is:
y= a(1+r)*
y= total amount
a= starting amount
r= the growth rate as a decimal
t= number of growth periods
Question 2 (1 point)
You have been gotten a job offer and the company wants to start you out at $45,000
and will give you a 5% raise every year. Write an equation you could use to
determine how much you would be making after x number of years.

Answers

Your salary in x years is modeled an the exponential growth

The equation that determines your salary in x years is y = 45000(1.05)^x

How to model the salary growth?

The model of the exponential growth is given as:

y = a(1 + r)^x

From the question, we have:

Initial salary, a = 45000

Raise, r = 5%

So, the equation becomes

y = 45000(1 + 5%)^x

Evaluate the sum

y = 45000(1.05)^x

Hence, the equation that determines your salary in x years is y = 45000(1.05)^x

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If log_10(x) = 3 + log_10(y), then find x/y

Answers

Answer:

 1000

Step-by-step explanation:

[tex]log_{10}x = 3 + log_{10}y[/tex][tex]log_{10}x - log_{10}y = 3[/tex][tex]log_{10}(x/y) = 3[/tex][tex]x/y = 10^3[/tex][tex]x/y = 1000[/tex]

Answer:

  x/y = 10^3 = 1000

Step-by-step explanation:

The rules of logarithms tell you ...

  log(x/y) = log(x) -log(y)

__

Here, we have ...

  log(x/y) = log(x) -log(y)

  = (3 +log(y)) -log(y) = 3 . . . . . . . . substittute for log(x)

Taking the antilog, we get ...

  log(x/y) = 3

  x/y = 10^3 = 1000

_____

Additional comment

The expression log(x) is often used to refer to the "common log" of x, which is the logarithm to the base 10. This lets us avoid the cumbersome notation log_10(x).

In more formal mathematics, log(x) may be used to refer to the natural log. The distinction is usually made in high school algebra by referring to the natural log using ln(x).

12) Write the equation of a rational function
Vertical asymptote at x = 0 and x = -1
Horizontal asymptote at y = -4
Hole at x = 12
X-intercepts at x = 5, x=-7 L

Answers

Answer:

[tex] \frac{4(x - 5)(x + 7)(x - 12)}{(x + 1)(x)(x - 12)} [/tex]

Step-by-step explanation:

A rational function is

[tex] \frac{p(x)}{q(x)} [/tex]

where q(x) doesn't equal zero.

If p is a asymptote, or hole at that value, then we will use

[tex](x - p)[/tex]

Step 1: We have asymptote as 0 and -1 so our denomiator will include

[tex](x - 0)(x - ( - 1)[/tex]

Which is

[tex](x)(x + 1)[/tex]

So our denomator so far is

[tex] \frac{p(x)}{x(x + 1)} [/tex]

Step 2: Find Holes.

Since 12 is the value of the hole,

[tex](x - 12)[/tex]

is a the binomial.

This will be both on the numerator and denomator so qe have

[tex] \frac{(x - 12)}{x(x + 1)(x - 12)} [/tex]

Step 3: Put the x intercepts in the numerator.

Since 5 and -7 is the intercepts,

[tex] \frac{(x - 12)(x - 5)(x + 7)}{x(x + 1)(x - 12)} [/tex]

Step 4: Horinzontal Asymptotes,

Multiply the numerator and denomiator out fully,

[tex] \frac{ {x}^{3} - 10 {x}^{2} - 59x + 420 }{ {x}^{3} - 12 {x}^{2} + x - 12} [/tex]

Take a L

look at the coefficients,

Notice they have the same degree,3, this means if we divide the leading coefficents, we will get our horinzonral asymptote.

Multiply the numerator by 4.

[tex] \frac{4(x - 12)(x - 5)(x - 7)}{x(x + 1)(x - 12)} [/tex]

Above is the function,

10ft,10ft,4ft what is the area

Answers

Answer:

400 ft sq

Step-by-step explanation:

Area = Length x Width x Height

10 x 10 x 4

100 x 4

400

Have a great day!!

Please rate and mark brainliest!!

400 ft^2………………………………

a recipe for 5 people calls for 1.5 kg of meat. How much meat is required if the receipe is adapted to feed 8 people​

Answers

Answer:

2.4 kg

Step-by-step explanation:

1.5 divided by 5 is 0.3 and 0.3 multiplied by 8 is 2.4

Evaluate 3x2−9
when x=−2

Answers

Answer:

3

Step-by-step explanation:

substitute x = - 2 into the expression

3x² - 9

= 3(- 2)² - 9

= 3(4) - 9

= 12 - 9

= 3

164 hundreds - 12 hundreds

Answers

Answer:

152 hundred

Step-by-step explanation:

164 hundred - 12 hundred = 152 hundred

Please rate!

Answer:

1.52

Hope this helps :)

Step-by-step explanation:

step one:

put them as decimals which would be 1.64 and 0.12

step two:

subtract which would be 1.64 - 0.12

step three:

solve your answer would be 1.52 or 152 hundredths

What is the solution to use the following equation 5(2x-6)+20=10

Answers

Answer:

first you distribute the five making it 10x-30+20=10

second you combine like terms making it 10x-10=10

third you isolate the variable making it 10x=20

Finally you divide both terms by ten giving you x=2 as your answer.

Other Questions
Show that f(x) = 3x4 2x2 + 5 is an even function. I need help with this math please, thanks in advance. Much appreciated. 50 points available! The most helpful answer will receive brainliest!1. Sofie decides to develop a survey.(a) Give an example of a question she could ask on her survey.(b) How could Sofie select a simple random sample of students to take her survey?(c) She gives out 80 surveys but receives only 32 completed surveys. What are the sample and population for Sofies research?(d) Of the 32 students who completed surveys, 16 said they use social media while doing schoolwork. If Sofie uses only the completed surveys, what conclusion could she make about the percent of all high school students who use social media while doing schoolwork?2.Tony decides to use observation. He visits 10 students and observes them doing schoolwork at home for 30 min. If a student looks at social media during that time, he notes it.(a) Provide an advantage of using observation.(b) Provide a disadvantage of using observation.(c) What are the sample and population for Tonys research?(d) Suppose 3 of the 10 students looked at social media during the observation. What conclusion could Tony make about the percent of high school students who use social media while doing schoolwork?Much thanks and appreciation! According to "Mill Times," how did the Industrial Revolution in theUnited States differ from the Industrial Revolution in Great Britain? Please help mee Choose the best answer that represents the property used to rewrite the expression.log6 20 - log6 x = log6 20/x 1. Supporters of Andrew Jackson split from the Democratic Republican Party and renamedthemselves the Democrats. What major event caused these supporters to split?DooThe "corrupt bargain" following the Election of 1824The Trail of TearsO The formation of the Republican Party&OOThe election of Abraham Lincoln following the Election of 1860eCLEAR ALL What is the value of x? Write an equation for the reaction that takes place in a luminous flame assuming the laboratory gas is Butane Help picture below problem 13 Between ages 15 and 25, he notes, we are particularly eager to spend our money, on everything from just the right haircut to just the right jeans, because boys want to impress girls and vice versa. It is, says Twitchell, much like male birds showing off their brightly colored feathers to females.The main argument is that advertisers understand what motivates people to shop.Which answer best uses the evidence to evaluate the main argument?A The argument is ineffective; the evidence refers to background knowledge that may not be widely known.B The argument is effective; the evidence shows that humans buy things to draw attention to themselves.C The argument is ineffective; the evidence shows it's only possible to predict the behaviors of animals.D The argument is effective; the evidence points out that advertiser's study animals to understand people. Metals can be distinguished by dissolving them in fuel and them burning that fuel. For example, calcium will turn orange and copper will turn green. Is this because of blackbody radiation or atomic transitions that you see in line spectra? Evaluate the extent to which the strategies of the African American Civil Rights movement changed in the period from 1945 to 1980. Which of the following factors contributed most to the increase of world population in the period 1750 to 1900 c. E. ?. Multiply 65 by its conjugate and simplify After completing their tests, the students make recommendations on how to increase the final temperature of themixtureBased on the data in the table, select if the proposed improvements would increase or decrease the finalemperature of the mixture. Place a check mark in the appropriate box in each row. [tex] { \alpha }^{2} \beta + \alpha { \beta }^{2} [/tex]Please solve this pls what is the awer Drag each definition to the ancient Chinese philosophy that it defines. The right to rule is given to a dynasty by the highest force of nature. A strong leader and strong laws, not moral values, are needed to create social order.LegalismMandate of Heaven Find the area of a right triangle with side lengths 12 cm, 35 cm, and 37cm The fact that large numbers of south asians migrated to great britain after the end of british rule could indirectly be used as evidence to support the authors arguments mostly because the migrations of former colonial subjects to imperial metropoles in the late twentieth century demonstrate that:. john locke was a philosopher in the early 1600s whose opinions differed with those of whom?A. thomas jefferson B. Thomas Hobbes C. Thomas Newton?