What is the following product? (2 square root 7+3 square root 6)(5 square root 2+4 square root 3)

Answers

Answer 1

[tex](2\sqrt7+3\sqrt6)(5\sqrt2+4\sqrt3)\qquad\text{use distributive property}\\\\=(2\sqrt7)(5\sqrt2)+(2\sqrt7)(4\sqrt3)+(3\sqrt6)(5\sqrt2)+(3\sqrt6)(4\sqrt3)\\\\=10\sqrt{14}+8\sqrt{21}+15\sqrt{12}+12\sqrt{18}\\\\=10\sqrt{14}+8\sqrt{21}+15\sqrt{4\cdot3}+12\sqrt{9\cdot2}\\\\=10\sqrt{14}+8\sqrt{21}+15\sqrt4\cdot\sqrt3+12\sqrt9\cdot\sqrt2\\\\=10\sqrt{14}+8\sqrt{21}+(15)(2)\sqrt3+(12)(3)\sqrt2\\\\=\boxed{10\sqrt{14}+8\sqrt{21}+30\sqrt3+36\sqrt2}[/tex]

Answer 2

Answer:  The required product is [tex]10\sqrt{14}+8\sqrt{21}+30\sqrt3+36\sqrt2.[/tex]

Step-by-step explanation:  We are given to find the following product :

P = (2 square root 7+3 square root 6)(5 square root 2+4 square root 3).

We will be using the following property of radicals :

[tex]\sqrt a\times \sqrt b=\sqrt{ab}.[/tex]

The given product can be written and evaluated as follows :

[tex]P\\\\=(2\sqrt7+3\sqrt6)(5\sqrt2+4\sqrt3)\\\\=2\sqrt7(5\sqrt2+4\sqrt3)+3\sqrt6(5\sqrt2+4\sqrt3)\\\\=10\sqrt{7\times2}+8\sqrt{7\times3}+15\sqrt{6\times2}+12\sqrt{6\times3}\\\\=10\sqrt{14}+8\sqrt{21}+15\times2\times\sqrt3+12\times3\sqrt2\\\\=10\sqrt{14}+8\sqrt{21}+30\sqrt3+36\sqrt2.[/tex]

Thus, the required product is [tex]10\sqrt{14}+8\sqrt{21}+30\sqrt3+36\sqrt2.[/tex]


Related Questions

ok i have a few questions please give examples and descriptions as well

1) what is the exponent laws for multiplying and dividing Powers with the same base

2) what is the power of a power law

3) what is the negative and zero exponent laws

Answers

Answer:

1) Multiplying powers with the same base would be product rule. It where you just add the exponents. Dividing powers with the same base would be the quotient rule. Its where you subtract the exponents.

2)Where you multiply the two exponents together

3)The negative law is where for example, if it were in the numerator, then it would be placed at the denominator with a positive exponent whereas if it were in the denominator it would be on the numerator with the positive exponent. The zero law just states the anything to the power to zero is one.

Step-by-step explanation:

1) 3^3 x 3^4 = 3 ^3+4 = 3^7

3^9 ÷3² = 3^9-2 = 3^7

2) (3^2)^2 = 3^2×2 =3^4

3) 1/3^-5 = 3^5                 \

3^-7 =1/3^7

2^0 = 1

The exponent laws for multiplying and dividing powers with the same base involve adding or subtracting exponents, respectively. The power of a power law states you should multiply exponents. Negative and zero exponent laws indicate how to deal with powers that are negative or zero.

In mathematics, especially when dealing with exponents, there are specific laws that streamline the process of multiplication, division, and dealing with different powers. Below are the laws related to your questions:

Multiplying and Dividing Powers with the Same Base

For multiplication: When two powers with the same base are multiplied, you add the exponents. For example, a^m × a^n = a^(m+n).

For division: When two powers with the same base are divided, you subtract the exponents. For example, a^m ÷ a^n = a^(m-n), where a ≠ 0.

Power of a Power Law

When raising a power to another power, you multiply the exponents. This is known as the power of a power law. So, (a^m)^n = a^(m*n).

Negative and Zero Exponent Laws

A negative exponent indicates division by that base and the exponent turned positive, such as a⁻ⁿ = 1/aⁿ. For a zero exponent, any non-zero base raised to the power of zero equals one, signified as a⁰ = 1.

Trigonometric area formula: Area = 1/2 ab sin (c)

What is the area of ABC? Round to the nearest tenth of a square unit.

A) 3.9 square units

B) 8.4 square units

C) 11.8 square units

D) 17.7 square units

Answers

Answer:

its probably 8.5

Step-by-step explanation:


Answer:

Option B.

Step-by-step explanation:

Trigonometric area formula is Area = [tex]\frac{1}{2}\times absin(C)[/tex]

Where a and b are two sides of the triangle and C is the angle between these two sides.

As given in the figure, side a = 6 units, c = 2√2 units and ∠B = 80°

Then area of the triangle will be defined by the formula

Area = [tex]\frac{1}{2}\times acsin(B)[/tex]

        = [tex]\frac{1}{2}\times acsin(B)[/tex]

        = [tex]\frac{1}{2}\times 6\times 2\sqrt{2}\times sin(80)[/tex]

        = 6√2×sin80°

        = 6×(1.414)×0.9848

        = 8.36 square units

        ≈ 8.4 square units

Option B is the answer.

Determine how much water should be mixed with 6 gallons of 55% solution of sulfuric acid to make a 20% solution of sulfuric acid?

Thanks

Answers

Answer: 16.5 gallons of water should be mixed to make a 20% solution of [tex]H_2SO_4[/tex]

Step-by-step explanation: We are given the concentration of the solution in percentage, it can be taken as the molarity of the solution.

Now, to calculate the volume of water required, we use the formula:

[tex]M_1V_1=M_2V_2[/tex]

where,

[tex]M_1\text{ and }V_1[/tex] are the initial molarity and volume of the solution.

[tex]M_2\text{ and }V_2[/tex] are the final molarity and volume of the solution.

Given:

[tex]M_1=55\%\\V_1=6gallons\\M_2=20\%\\V_2=?gallons[/tex]

Putting values in above equation, we get:

[tex]55\times 6=20\times V_2\\V_2=16.5gallons[/tex]

Answer:

10.5 gallons of water should be added.

Step-by-step explanation:

Let [tex]C_{1} * V_{1} = C_{2} * V_{2}[/tex], where [tex]C_{i}[/tex] are the concentration of the solution and [tex]V_{i}[/tex] are the volume of the solution for i=1,2.

Now, substituting values, we have,

55*6 = 20*[tex]V_{2}[/tex]

i.e. [tex]V_{2}[/tex] = (6*55)/20

i.e. [tex]V_{2}[/tex] = 16.5

So, the final volume is 16.5 gallons.

Hence, we need to add 16.5 - 6 = 10.5 gallons of water.

in the drawing of triangle XYZ, which angle has the least measure?

Answers

Need a picture or some kind of information

Tony plans to purchase a jacket that costs p dollars. In a week the jacket will go on sale for 30% off. Tony writes althea following expression to calculate the cost of the jacket after the discount:

p - .30p

Now which of the following is equivalent?

1.30p
1.70p
2p - .30
.70p
p (1 - .30)

Answers

Answer:

.70p  

p(1-.30)

Step-by-step explanation:

Tony plans to purchase a jacket that costs p dollars. In a week the jacket will go on sale for 30% off.

Tony writes althea following expression

p - .30p

Here P  or 1P  are same

So expression becomes 1p - 0.30p

Both are like terms

so we can subtract it

1p - 0.30p = 0.70p

Also we can write 1p - 0.30p  as  p(1-0.30)

We can take out p that is in common

Equivalent expression is .70p  and p(1-.30)

If your percent of discount is 25% and your sales price is $40, what is your original price. Please show me how you got your answer.

Answers

Final answer:

The original price before a 25% discount, when the sales price is $40, is calculated as $40 divided by 0.75, resulting in $53.33.

Explanation:

To find the original price before a 25% discount, we can set up the equation where original price minus 25% of the original price equals the sales price. Let's call the original price 'P'. Then 0.25P is the amount discounted. The equation is P - 0.25P = $40. This simplifies to 0.75P = $40. To find P, divide both sides by 0.75, giving us P = $40 / 0.75. So, the original price P = $53.33.

The original price is $53.33.

If you have the sales price and the percent of discount, you can calculate the original price using the following steps:

Let P be the original price.Since the discount is 25%, you pay 75% of the original price.We know that 75% of the original price is $40.

To find the original price, we set up the equation:

0.75P = 40

Next, solve for P by dividing both sides by 0.75:

P = 40 / 0.75

P = $53.33

So, the original price of the item was $53.33 before the 25% discount was applied.

Eric has 130 coins consisting of nickels and quarters the coins combined value comes to 15.90

Answers

Answer:

Quarters = 47

Nickels = 83

Step-by-step explanation:

A) N + Q = 130

B) .05N + .25Q = 15.90

Multiplying equation A by -.05 equals

A) -.05N -.05Q = -6.50  then adding this to B)

B) .05N + .25Q = 15.90  Equals

.20Q = 9.40

Quarters = 47

Nickels = 83

.05*83 + .25*47 = 4.15 + 11.75 = 15.90

Solving linear combination

Answers

[tex]\underline{+\left\{\begin{array}{ccc}4x+5y=16\\-4x-10y=4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-5y=20\qquad\text{divide both sides by (-5)}\\.\qquad\qquad\boxed{y=-4}\\\\\text{Put the value of y to the first equation:}\\\\4x+5(-4)=16\\4x-20=16\qquad\text{add 20 to both sides}\\4x=36\qquad\text{divide both sides by 4}\\\boxed{x=9}\\\\Answer:\ \boxed{x=9\ and\ y=-4\to(9,\ -4)}[/tex]

Jack broke apart 5 x 216 as (5 x 200) + (5 x 16) to multiply mentally. What strategy did Jack use?

Answers

Answer:


Step-by-step explanation:

he used distributive property.

Answer:

Jack used distributive property



help me understand this problem

Answers

It ΔABC and ΔXYZ are similar, then the sides of the triangles are in proportion.

[tex]\dfrac{AB}{XY}=\dfrac{BC}{YZ}=\dfrac{AC}{XZ}[/tex]

We have BC = 8, AC = 7, Y = 28, XZ = 49 and YZ = 56. Substitute:

[tex]\dfrac{AB}{XY}=\dfrac{BC}{YZ}\to\dfrac{AB}{28}=\dfrac{8}{56}\qquad\text{cross multiply}\\\\56AB=(8)(28)\qquad\text{divide both sides by 56}\\\\AB=\dfrac{224}{56}\\\\\boxed{AB=4}[/tex]

match the numbers to the letters for equivelents


1. 3(4x + 2)

2. (2x + 3) - (4x +5)

3. 8x + 5 - x + 4

4. 7(3x - 2)

A. 12x + 6

B. -2x-2

C. 7x + 9

D. 21x-14

Answers

use desmos to find th as t answer

To match the numbers to the letters for the equivalents, we can simplify each expression:

3(4x + 2) = 12x + 6 (A)

(2x + 3) - (4x + 5) = 2x + 3 - 4x - 5 = -2x - 2 (B)

8x + 5 - x + 4 = 8x - x + 5 + 4 = 7x + 9 (C)

7(3x - 2) = 21x - 14 (D)

Matching the numbers to the letters for the equivalents:

Expression 1 is equivalent to option A.

Expression 2 is equivalent to option B.

Expression 3 is equivalent to option C.

Expression 4 is equivalent to option D.

PLEASE HELP ME This is due on Tuesday

Answers

Answer:

3 and 6 as well as 4 and 5

Step-by-step explanation:

interior angles are the ones between perpendicular lines. I do belive you choose the ones oposite from one another. JUst look for the definiotn of angles on google and you'll find plenty of helpful awnsers to solving you equasions.

3 and six and 4 and 5

Which values in P and Q result in an equation with no solutions? Px+5= -4x+Q

Answers

Answer:

Given equation: [tex]Px+5 = -4x+ Q[/tex]

Add 4x on both sides we get;

Px + 5 + 4x = -4x + Qc+ 4x

Simplify:

Px +4x + 5 = Q

or

x(P+4) = Q - 5

Divide P+4 on both sides we get;

[tex]x = \frac{Q-5}{P+4}[/tex]

If we set Q-5 = 0 and P +4 = 0, there will be no solutions.

Since, No solution would mean that there is no answer to the equation.

⇒[tex]Q -5 = 0[/tex]

or

Q = 5

and

⇒[tex]P +4 = 0[/tex]

or

P= -4

Therefore, the values of P = -4 and Q = 5 results in an equation with no solutions.





Answer: P = -4 and Q = -5

PLEASE HELP ME!! use the figures below. write a sequence of rigid motions that maps triangle RST to triangle DEF

Answers

Final answer:

To map triangle RST to triangle DEF, perform a translation, rotation, and possibly a reflection.

Explanation:

To map triangle RST to triangle DEF using rigid motions, we need to use a combination of translations, rotations, and reflections.

Translate triangle RST by vector EF so that point R maps to point D.Rotate the translated triangle about the point D by the measure of angle EDF to align RS with DE.If necessary, reflect the rotated triangle across a line passing through point D to align ST with EF.

Learn more about Rigid motions here:

https://brainly.com/question/31660897

#SPJ3


What is the measure of 8?

120°
90°
60°
180°
_____________________________


What type of angles are 1 and 5?



vertical
supplementary
corresponding
complementary

Answers

Answer:

< 8 = 60

<1 and <5 are corresponding angles

Step-by-step explanation:

<2 = <3  vertical angles

<3 = <6  alternate interior angles

<6 + <8 = 180  supplementary angles

120 + <8 = 180

Subtract 120 from side

120-120 + <8 = 180-120

< 8 = 60


<1 and <5 are corresponding angles

Corresponding angles occupy the same relative position at each intersection.

Answer:

The measure of [tex]\angle 8[/tex] is 60°

[tex]\angle 1[/tex] and [tex]\angle 5[/tex] are corresponding angles.

Step-by-step explanation:

Given that, [tex]m\angle 2= 120\°[/tex]

In the given diagram, [tex]\angle 2[/tex] and [tex]\angle 6[/tex] are corresponding angles and their measures are same.

So, [tex]m\angle 6= 120\°[/tex]

Now, [tex]\angle 6[/tex] and [tex]\angle 8[/tex] are pair of linear angles.

That means......

[tex]m\angle 6+m\angle 8= 180[/tex]°

[tex]\Rightarrow 120\°+m\angle 8=180\°\\ \\ \Rightarrow m\angle 8= 180\°-120\°\\ \\ \Rightarrow m\angle 8=60\°[/tex]

So, the measure of [tex]\angle 8[/tex] is 60°

The type of angles for [tex]\angle 1[/tex] and [tex]\angle 5[/tex] is corresponding.


Construct a function with a rate of change of 2/3 and an initial value of 4
(put your equation in slope-intercept form)

Answers

Answer:

f(x) = 2/3x +4

Step-by-step explanation:

The initial value is another name for the y intercept, so b = 4

Rate of change is another name for slope so m = 2/3

We can use the equation y =mx+b

y = 2/3 x + 4

We want it in function form

f(x) = 2/3x +4

49 POINTS! PLEASE HELP, SHOW WORK!

Answers

ANSWER:

y = -2/3x + 2

ABOUT SLOPE INTERCEPT FORM:

y = mx + bm represents the slopeb represents the y-intercept AKA the starting point

You have to isolate or get y by itself:

2x + 3y = 6

-2x           -2x

3y = -2x + 6

3             3

y = -2/3x + 2 --- IN SLOPE INTERCEPT FORM


Hope this helps you!!! :)


Answer:

y=-2/3x +2

Step-by-step explanation:

y=mx+b

2x+3y-6

3y-6=-2x

3y=-2x+6

y=-2/3x+2

The total cost, including shipping, for ordering five uniforms is $61. The total cost, including shipping, for ordering nine uniforms is $ 105. find the slope.

Answers

Answer:39/4


Step-by-step explanation: What I'd do first is set the question up as an ordered pair, for example (x,y) have the uniforms be represented by x and the cost be represented by y. We know that the cost of five uniforms is $66, so we can substitute (x,y) into (5,66). We can then do the same for nine uniforms which is 105 (9,105). The equation we are going to use to find the slope is y2-y1/x2-x1 = 105-66/9-5.

This should result in 39/4. Make sure to always simplify when needed, in this case we don't have to.

Hope this helped.


The sum of three consecutive odd integers is 267. Find the integers. I need this as fast as possible please.

Answers

Answer:

the integers are: 87, 89, and 91


Step-by-step explanation:

n+n+2+4=267

3n+6=267

3n=261

n=87.


can you please tell me where you got this question from

Final answer:

The three consecutive odd integers that sum up to 267 are 87, 89, and 91. By setting up an equation, we find the first integer and then determine the next two by adding 2 to each consecutive integer.

Explanation:

The sum of three consecutive odd integers is 267. To find these integers, let's first represent them algebraically. Assume the smallest integer is x. Then the second integer, being consecutive and odd, would be x + 2, and the third would be x + 4. The sum of these three integers is given by:

x + (x + 2) + (x + 4) = 267

Simplify this equation to find the value of x:

3x + 6 = 267

Subtract 6 from both sides:

3x = 261

Divide both sides by 3:

x = 87

Now that we have the smallest integer, the second and third integers are 87 + 2 = 89 and 89 + 2 = 91, respectively.

The three consecutive odd integers are 87, 89, and 91.

If the sum of two number is 19. Their difference is 3. What are the numbers?

Answers

x, y - the numbers

x + y = 19

x - y = 3        add both sides of the equations

2x = 22      divide both sides by 2

x = 11

Substitute the value of x to the first equation:

11 + y = 19     subtract 11 from both sides

y = 8

Answer: 11 and 8.
Final answer:

The sum of the two numbers is 19 and their difference is 3. The two numbers are 11 and 8.

Explanation:

Let's use a system of equations to solve this problem.

Let's say the first number is x and the second number is y.

According to the given information, we have the following equations:

x + y = 19  (equation 1)

x - y = 3  (equation 2)

We can solve these equations simultaneously by either substitution or elimination method.

Let's use the elimination method.

Adding equation 1 and equation 2, we get:

(x + y) + (x - y) = 19 + 3

2x = 22

x = 11

Substituting the value of x in equation 1, we get:

11 + y = 19

y = 8

Therefore, the two numbers are 11 and 8.

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ3

From 6x^2−7xy+8y^2 subtract the sum of x^2−3xy−y^2 and 2x^2+5xy−4y^2

Answers

is that the last answer you need?

How do you do this 89.25 ×7 1/4 by showing steps

Answers

Answer: 1584.1875

Step by Step Explanation:

Step 1. Multiply the fraction

71 x 89.25/4

Step 2. Multiply the numbers 71 x 89.25.

= 6336.75/4

Step 3. Divide the number 6336.75/4.

= 1584.1875

Hope I could help! :)

Karen will divide her garden into equal parts. She will plant corn in 2 8 of the garden. What is the fewest number of parts she can divide her garden into? The fewest number of parts is

Answers

two out of eight will be planted

PLEASE HELP! 48 POINTS!




show your work

Answers

Answer:

a.  4y =12x  the constant of variation is 3

Step-by-step explanation:

The equation for direct variation is y=kx

a.  4y =12x

 Divide each side by 4

4y/4 = 12x/4

 y = 3x

This is direct variation and the constant is 3


Equations b ,c, d  all have a constant added which make them something other than a direct variation

Answer:

A Constant of variation is 3

Step-by-step explanation:

Remark

Direct variations have an equation that looks like y = kx There is NO y intercept, or the y intercept = 0. If you solve for the slope of choices B C and D you get a y intercept that is not 0. For example Take C

4y = 5x + 3               Divide both sides by 4 (the coefficient of y)4y/4 = 5x/4 + 3/4     Do the divisiony = 1.25 x + 0.75.0.75 is not zero. This is not a direct variation. The same procedure can be done to B and D with the same results and the same comment.

Solution

Your only possible answer is A

The constant of variation =

4y = 12 x                Divide by 44y/4 = 12x/4           Do the divisiony = 3x                     The coefficient (3) of x is the constant of variation

which operation should be performed immediately after evaluating exponents using the order of operations

addition and subtraction in order from left to right

multiplication and division in order from left to right

parentheses

powers

Answers

Answer:

Multiplication and Division in order from left to right

Step-by-step explanation:

PEMDAS

Parentheses

Exponents

Multiplication and Division in order from left to right

Addition and Subtraction in order from left to right

Final answer:

The operation that should be performed immediately after evaluating exponents using the order of operations is multiplication and division in order from left to right.

Explanation:

The operation that should be performed immediately after evaluating exponents using the order of operations is multiplication and division in order from left to right.

In the order of operations, exponents are evaluated first, followed by multiplication and division from left to right, and finally addition and subtraction from left to right. This means that after evaluating exponents, you should perform any multiplication or division operations in the expression if they exist.

For example, if you have the expression 2³ times 4 + 6, you would first evaluate 2³ = 8 and then perform the multiplication: 8 times 4 = 32. Finally, you would add the resulting 32 to 6 to get the final answer.

Michael spins a spinner 10 times. He gets the color red 6 times. How many times would he expect to get the color red if he did 30 spins

Answers

Answer:

18 times

Step-by-step explanation:

6/10= .6

So 60% of 30 is 18

Christina Stratton invested $8,000 in a certificate of deposit for 4 years. The certificate earns interest at an annual rate of 6.00 percent compounded quarterly. The amount per $1.00 is 1.061831. What is the effective annual yield ? Show work.

Answers

Final answer:

The effective annual yield for a certificate of deposit with a 6% annual interest rate compounded quarterly is approximately 6.14%.

Explanation:

To find the effective annual yield, we need to use the formula:

Effective Annual Yield = (1 + (interest rate / number of compounding periods))^number of compounding periods - 1

In this case, the interest rate is 6%, which is equivalent to 0.06. The number of compounding periods is 4 per year. Plugging these values into the formula, we get:

Effective Annual Yield = (1 + (0.06 / 4))^4 - 1

Calculating this, we find that the effective annual yield is approximately 6.14%.

Samara was playing a game. She wrote down this number sentence to find the total number of points for 11 games in a row. 5 + 7 + 9 + 3 + 1 + 3 + 9 + 8 + 5 + 2 + 3 What's the sum of her scores? 30 35 45 55

Answers

Answer:55


Step-by-step explanation: Whenever you see the word "sum" it means to add. So, 5+7+9+3+1+3+9+8+5+2+3=55


Final answer:

By adding each game's score in Samara's game sequence, we find that the total score of all 11 games is 55 points.

Explanation:

To find the total score of Samara's games, we need to add all the points she got from each game. We do this by performing the addition of the numbers in the number sentence she wrote down:

First, let's add the first three numbers: 5 + 7 + 9 = 21.Next, let's add the next three numbers to the previous sum: 21 + 3 + 1 + 3 = 28.Then, continue adding the next three numbers to the sum: 28 + 9 + 8 + 5 = 50.Finally, add the last two numbers to the total sum: 50 + 2 + 3 = 55.

Thus, the total number of points for 11 games is 55.

Learn more about Addition here:

https://brainly.com/question/29560851

#SPJ3

You and some friends rent a limousine for a formal reception. The bill for the evening is $65.00. A tax of 7% will be added to your total, and you want to tip the chauffeur for his excellent driving. You decide to leave him a tip that is 20% of the bill before tax is added. How much will be paid in total?

A. 92.00

B.91.00

C. 85.50

D. 82.55

Answers

Answer:

B

Step-by-step explanation:

Because Im MATHS SUPER MAN

Answer:

$82.55

Step-by-step explanation:

65 + (0.07×65) + (0.2×65)

Johnnys dinner bill totaled $75. He left a 15% tip. How much money will johnny spend in all of his dinner?

Answers

Answer:

$86.25

Step-by-step explanation:

You need to calculate 15% of $75, and then add it to $75.

To find a percent of a number, change the percent to a decimal and multiply by the number. To change a percent to a decimal, divide the percent by 100, which the same as moving the decimal point of the percent two places left.

For example, 15% = 15/100 = 0.15 (by dividing 15 by 100).

15% = 0.15 (by moving the decimal point of 15 two places to the left).

Now back to the problem. First, we find 15% of $75.

15% of $75 =

= 15% * $75

= 0.15 * $75

= $11.25

The tip of 15% of $75 was $11.25.

The total amount spent is the bill total, $75, plus the $11.25 tip.

Total spent = $75 + $11.25 = $86.25


Other Questions
Me gusta _______ mi libro.Question 24 options:a) Leerb) correrc) escribird) describir In nature, animal populations are dynamic. This means they are changing due to various circumstances. The population of rabbits in certain areas of the world are affected by the population of foxes, for example. Using reasoning, which model shows the relationship between the two populations? 100Points Which of the following is TRUE? Select one: a. Social stratification depends upon but is not the same as social differentiation. b. Social stratification is analogous to social differentiation. c. Social differentiation depends upon but is not the same as social stratification. d. There is no relationship whatever between social stratification and social differentiation. Select all that apply. From this lesson, what are the symptoms of bubonic plague? fever hallucinations the swelling of the lymph nodes brittle bones What strategy is most helpful to take control of the opportunities and challenges life offers?Commitment Flexibility Integrity Ownership What is the interquartile range of this data set 2,5,9,1118,30,42,55,58,73,81 Which statement is true of development in both Nigeria and Venezuela? A. It has completed a transition to a free-market economy. B. It benefits from the sale of a valuable resource. C. Its wealth is based on agriculture. D. It has developed a service economy. For someone who is clinically underweight and has been encouraged by their doctor to gain a few pounds, how many calories per day should someone consume to gain 2 pounds in two weeks assuming they burn 2000 calories per day? what is the structure of 3-propyl-2-methyl-1-pentanoic acid does any body know so plz help? solve the linear equations 4x-3y=16 and x+y=-3 Which object is visible only by reflection? a. the sun b. earth's moon c. a candle flame eliminate d. a bolt of lightening What court comes after the florida circuit court? Pls help!!!!!!!Read the metaphor from Kings letter what is he trying to explain Where were their voices of support when bruised and dark negro men and women decided to rise from the dark dugreon of complacency to the bright hills of creative protests. What is the value of Y There are 12 apples in a basket. 5 of these apples are green. The rest of them are red. (a) What is the ratio of red apples to all apples in the basket? (b) What is the ratio of red apples to green apples? Greatest common factor of 35 and 39 Q2) Which of the follwing best describes counting in the early childhood setting?A) Basic operations of numbers including addition, subtraction, multiplication, and division.B) Matching objects based on a common characteristic such as size, shape, or color. C) Spatial relationships and concepts of proximity, separation, enclosure or surrounding and continuity.D) Basic ordering of numbers and identification by written number. use the formula for the circumference of a circle to write a formula for the area of a circle in terms of its circumference Read the passage. Ben growled when I walked into his room. He barked at me to close the door as he lumbered back to his desk. He is such a bear in the morning! Which figure of speech does the author use in the passage?personificationB.simileC.epic simileD.extended metaphor 2. To better capture the personality of the individual, the artist chose toinclude(99 points)pets and items of personal interest in the image.a formal setting.items that indicate a profession. Steam Workshop Downloader