I need Help please!!

I Need Help Please!!

Answers

Answer 1

Answer:

Step-by-step explanation:

The unknown is 5 I.e

1+5 = 6

5 + 5 = 10

8 + 5 = 13

Then n + 5


Related Questions

1.2 recognizing function worksheet

Answers

Answer: Perhaps you did a typo..?

Step-by-step explanation: I know all about functions, but there seems not to be a worksheet. Perhaps you didn't add it on, or it's just me. But anyways, I would absolutely adore and love to help when you add it on. I wish you the best of luck

Which expression represents the phrase The sum of w and twenty

A. 20w
B. w + 20
C. w^20
D. 20 x w

Answers

I believe that would be A. similar to combining like terms, but because it does not have another number to add, it would give the variable at the end.

find the lcm 15 and 20​

Answers

Answer:

5

Step-by-step explanation:

Answer: 60
Solution:
15 20
/ \ / \
3 5 2 10
/ \
2 5
3*5*2*2=60

Given the function f(x) = 8x+2, evaluate f(6),

Answers

Answer:

f(6)=50

Step-by-step explanation:

f(6)=8(6)+2

f(6)=48+2

f(6)=50

Answer: 50

Step-by-step explanation:

f(6) =8(6)+2

f(6)=48+2

f(6)=50

NO LINKS!! URGENT HELP!!!!!

Write a rule for the nth term of the geometric sequence. Then find a_9.

13. 7, -35, 175, -875, . . .
14. 104, -52, 26, -13, . . .

Answers

Answer:

\(\textsf{13.} \quad a_9 = 2734375\)

\(\textsf{14.} \quad a_9 = \dfrac{13}{32}\)

Step-by-step explanation:

To write a rule for the nth term of a geometric sequence, we can use the following formula:

\(\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}\)

\(\hrulefill\)

Question 13

Given geometric sequence:

7, -35, 175, -875, ...

The first term is 7, so a = 7.

To find the common ratio, divide any term in the sequence by its preceding term:

\(r=\dfrac{-35}{7}=-5\)

Therefore, the equation to find the nth term of the given geometric sequence is:

\(\boxed{a_n=7(-5)^{n-1}}\)

To find a₉, substitute n = 9 into the equation:

\(\begin{aligned}a_9&=7(-5)^{9-1}\\&=7(-5)^8\\&=7(390625)\\&=2734375\end{aligned}\)

Therefore, the 9th term of the given geometric sequence is 2,734,375.

\(\hrulefill\)

Question 14

Given geometric sequence:

104, -52, 26, -13, ...

The first term is 104, so a = 104.

To find the common ratio, divide any term in the sequence by its preceding term:

\(r=\dfrac{-52}{104}=-\dfrac{1}{2}\)

Therefore, the equation to find the nth term of the given geometric sequence is:

\(\boxed{a_n=104\left(-\dfrac{1}{2}\right)^{n-1}}\)

To find a₉, substitute n = 9 into the equation:

\(\begin{aligned}a_9&=104\left(-\dfrac{1}{2}\right)^{9-1}\\\\&=104\left(-\dfrac{1}{2}\right)^{8}\\\\&=104\left(\dfrac{1}{256}\right)\\\\&=\dfrac{13}{32}\end{aligned}\)

Therefore, the 9th term of the given geometric sequence is 13/32.

Find the average rate of change of the function f(x)=√x from x₁ = 16 to x₂ = 81.

Answers

Answer:

1/13

Step-by-step explanation:

\(f(x_1)=4 \\ \\ f(x_2)=9 \\ \\ \frac{f(x_2)-f(x_1)}{x_2 - x_1}=\frac{1}{13}\)

Find the average rate of change of the function f(x)=x from x = 16 to x = 81.

QUESTION 1 Determine the general solution of: 2 sin x. cos x = COS X​

Answers

Starting with the given equation: 2 sin x cos x = cos x

By dividing both sides by cos x, we may simplify: 2 sin x = 1

Dividing both sides by 2:

sin x = 1/2

The values of x that fulfil sin x = 1/2 must now be found, and they are:

x = π/6 + 2πn or x = 5π/6 + 2πn, where n is any integer.

Therefore, the general solution is:

x = π/6 + 2πn or

x = 5π/6 + 2πn, where n is any integer.

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100 Points! Algebra question, photo attached. Please show as much work as possible. Thank you!

100 Points! Algebra question, photo attached. Please show as much work as possible. Thank you!

Answers

A. The distributions of the periods is that using the five number summary is that

The 7th Period has higher minimum and lower maximumThe 3rd period is more spread (from the quartiles)The 7th Period has higher median

B. The box and whisker plot of the periods is attached

A. Comparing the distributions of the periods

From the question, we have the following parameters that can be used in our computation:

7th Period

66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 96

3rd Period

52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97

The distributions of the periods will be compared using the five-number summaries

Using a graphing tool, the five-number summaries are:

7th Period

Minimum: 66Lower Quartile Q1: 79.5Median: 88Upper Quartile Q3: 92.25Maximum: 96

3rd Period

Minimum: 52Lower Quartile Q1: 64.75Median: 75.5Upper Quartile Q3: 85.75Maximum: 97

B. Creating a box and whisker plot of the periods

The box and whisker plot of the periods is added as an attachment

From the box and whisker plot attached, we can see the five-number summaries of the periods

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100 Points! Algebra question, photo attached. Please show as much work as possible. Thank you!

A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
OA. A pair of parallel lines
B. A single line
OC. A point
OD. A pair of intersecting lines

Answers

Answer:

D. A pair of intersecting lines

Step-by-step explanation:

A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.

I hope this helps you ace your math question.

what are the steps to solve this

what are the steps to solve this

Answers

Answer:

The equation of this line is y = -4.

Answer:

y=-4

Step-by-step explanation:

zero slope m=0

y-y1=m(x-x1)

y-(-4)=0(x-(-9))

y+4=0

y=-4

Select all ratios that are in their simplest form,
A=21:7
B=25:19
C=23:7
D=16:4
E=24:26​

Answers

Answer:

B and C

Just see if there is any number that can divide both top and bottom

If there isnt, its in simplest form

What is the sum of the exterior angles for each of the parallelogram and the hexagon?

A) 90°
B) The answer depends on the number of sides of the polygon
C) 180°
D) 360°

Very confused, if you could please explain it to me, that would be great!!

What is the sum of the exterior angles for each of the parallelogram and the hexagon?A) 90B) The answer

Answers

The sum of the exterior angles for a parallelogram is 360°.

What is exterior angle?

Exterior angles are angles that are formed outside two lines when they intersect. They are located outside the two lines, on the outside of the shape. They can be found by adding the two interior angles together, whose measurements are always equal to 180 degrees. Exterior angles are also supplementary angles, meaning that the sum of their measurements is always equal to 360 degrees.

This is because the four angles on the outside of the parallelogram are all right angles, and the sum of four right angles is 360°.

Similarly, the sum of the exterior angles for a hexagon is also 360°.

This is because the six angles on the outside of the hexagon are all 120° angles, and the sum of six 120° angles is 360°.

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if f(x) = f(xf(xf(x))), where f(1) = 4, f(4) = 6, f '(1) = 4, f '(4) = 5, and "f '(6) = 6", find f '(1).

Answers

If function F(x) = f(xf(xf(x))), where f(1) = 4, f(4) = 6, f '(1) = 4, f '(4) = 5, and f '(6) = 6, the value of an F'(1) is 114.

We know that the chain rule of differentiation (derivative)

The derivative of composite function f(g(x)) is:  f'(g(x))⋅g'(x)

Consider function F(x) = f(xf(xf(x)))

We need to differentiate above function with respect to x.

F'(x) = f'(xf(xf(x))) × d/dx[x f(xf(x))]

We use product rule of derivative to find d/dx[x f(xf(x))]

d/dx[x f(xf(x))] = f(xf(x)) d/dx(x) + x d/dx(f(xf(x)))

After simplifying these expressions we get.

F'(x) = f'(xf(xf(x))) [f(xf(x)) + xf'(xf(x)) + x(f(x) + xf'(x))]

For x = 1 above expression would be,

F'(1) = f'(1 f(1 f(1))) [f(1 f(1)) + 1 f'(1 f(1)) + 1 (f(1) + 1 f'(1))]

F'(1) = f'(f(4)) [f(4) + f'(4) + (4 + 4)]

F'(1) = f'(6) [6 + 5 + 8]

F'(1) = 6 × 19

F'(1) = 114

Therefore, the value of F'(1) = 114.

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The complete question is:

If F(x) = f(xf(xf(x))), where f(1) = 4, f(4) = 6, f '(1) = 4, f '(4) = 5, and f '(6) = 6, find F '(1).

..
There is a 15% off sale on a
PlayStation 5. If the original
cost is $700, what is the
sale price of the
PlayStation?

Answers

the playstation would be $595

Answer:

$595

Step-by-step explanation:

WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES AND I ADD EXTRA POINTS

WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES AND I ADD EXTRA POINTS

Answers

Answer:

A

Step-by-step explanation: plz mark brainliest

If you see The abc triangle you can see that triangle DEF is about twice the size of the other triangle so if you would double the size of the small triangle by the same number which was 20 you would do 20 + 20 = 40 and you would multiply 4 x 5 which equals 20 and add 20 + 20 which equals 40 which is the double amount of triangle ABC

Answer:

an extra comment so the other guy gets brainlist:)

Step-by-step explanation:

8. Write a paragraph proof.
Proof Given: In a plane, a is perpendicular to b, b id perpendicular to c, and c || d.
Prove: a || d

Answers

To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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What is the area of this figure ???????????????​

What is the area of this figure ???????????????

Answers

78

Step-by-step explanation: just add them all

plz give brainly

250cm sq I think

Basically try and split the weird shapes into simple ones then solve

Write a piecewise function. PLEAE HELP i really need this any help would be very appreciated!!

Write a piecewise function. PLEAE HELP i really need this any help would be very appreciated!!

Answers

Answer:

  see below

Step-by-step explanation:

Each age bracket defines a domain of the function. The function value is constant for that domain. This function gives admission price (P) as a function of age (a).

  \(P(a)=\left\{\begin{array}{ccl}0&\text{for}&a\le5\\3&\text{for}&5<a\le18\\5&\text{for}&18<a<65\\4&\text{for}&a\ge65\end{array}\right.\)

Marcus has a collection of professional basketball player cards. The number of veteran cards is 17 more than 3 times the number of
rookie cards. Which of the following represents the number of veteran cards, v, in terms of the number of rookie cards, n?
A
3 + 17r = v
B. 17 + 3v=r
17 + V = 3r
D.
17 + 3r = V

Answers

Answer:

I think its 17+3r=v so D?? I'm not entirely sure but I believe that's it lol

HURRY!!!!!!!!!!!!!!!

The table shows the proportional relationship between the number of tickets required per game at a carnival. Games 4 7 10 Tickets 20 35 50 Determine the constant of proportionality.

Correct answer will get brainiest

Answers

Answer:

Therefore, the constant of proportionality for the given proportional relationship is 5.

Step-by-step explanation:

To determine the constant of proportionality in the given proportional relationship, we can use the formula:

Constant of Proportionality = Tickets / Games

Let's plug in the values from the table:

For the first set of values (4 games and 20 tickets):

Constant of Proportionality = 20 / 4 = 5

For the second set of values (7 games and 35 tickets):

Constant of Proportionality = 35 / 7 = 5

For the third set of values (10 games and 50 tickets):

Constant of Proportionality = 50 / 10 = 5

In all three cases, the constant of proportionality is equal to 5.

Therefore, the constant of proportionality for the given proportional relationship is 5.

help me please Graph y = - l x-4 l​

Answers

Answer:

y= -41

Slope= -1

Step-by-step explanation:

On the Y-axis put a point on -41. After you did that do down one unit and right one unit. Repeat this step below the Y-axis. Above the Y-axis you do the opposite. Go up one unit and left one unit. Repeat this step above the Y-axis. Hope you understood me :)

In recent years a town experienced an arrest rate of 25% for robberies The new sheriff compiles records showing that among 30 recent robberies the arrest rate is 30%; he claims that this arrest greater than the 25% rate in the past. Using a 0.05 significance level to test the claim, find the P-value

In recent years a town experienced an arrest rate of 25% for robberies The new sheriff compiles records

Answers

Given:

significance level = 0.05

rate = 30% = 0.30

n = 30

First, we identify the test statistic:

\(z=\frac{\hat{p}-p}{\sqrt{\frac{pq}{n}}}\)

Substitute the values:

\(z=\frac{0.30-0.25}{\sqrt{\frac{0.25(1-0.25)}{30}}}\)

Simplify:

\(z=\frac{0.05}{\sqrt{\frac{0.25(0.75)}{30}}}=0.63\)

Now p-value is given by:

\(p_{value}=P(z>0.63)=1-P(z<0.63)\)

From z table:

\(=1-0.7357=0.2643\)

Answer: 0.2643

how do i solve this..

how do i solve this..

Answers

Answer:

1. 26

2. x = 1.5

Step-by-step explanation:

1. C(0.7) means to plug in 0.7 into the equation

here, C(x) = 30x + 5. replace x with 0.7 to get

C(0.7) = 30*0.7 + 5= 26

2. C(x) = 30x + 5 = 50

30x+5 = 50

subtract 5 from both sides to isolate x and its coefficient

30x = 45

divide both sides by 30 to find x

x = 1.5

NEED HELP W GEOMETRY

In △
ABC, ∡A
is 2 more than twice ∡B
, and ∡C
is 7 less than twice ∡B
. What is the measure of each angle in △
ABC and what is its classifications?

Answers

Answers:

Angle A = 76Angle B = 37Angle C = 67

Triangle ABC is an acute triangle. It's also a scalene triangle.

====================================================

Work Shown:

x = measure of angle B

2x+2 = measure of angle A, since we're told its "2 more than twice angle B"

2x-7 = measure of angle C, for similar reasoning

The three angles add to 180. This is true for any triangle

A+B+C = 180

(2x+2)+(x)+(2x-7) = 180

5x-5 = 180

5x = 180+5

5x = 185

x = 185/5

x = 37

This means angle B is 37 degrees. The other two angles are

A = 2x+2 = 2*37+2 = 74+2 = 76

C = 2x-7 = 2*37-7 = 74-7 = 67

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

In summary, we have these three interior angles

A = 76B = 37C = 67

As a way to check, note how A+B+C = 76+37+67 = 180. This confirms the answer. All three angles mentioned are smaller than 90 degrees, so this triangle is acute.

Furthermore, because all three angles are different measures, this means all three sides are different lengths. This leads to triangle ABC being scalene.

Dado cot B = 0.57736, determina la medida del ángulo B.

Answers

The measure of angle B is approximately equal to 56.31 degrees, rounded to two decimal places.

What is a angle measure?

An angle measure is a numerical value that represents the amount of rotation between two intersecting lines, line segments or rays. It is typically measured in degrees, although other units of measurement such as radians and grads may also be used. The size of an angle can range from 0 degrees (corresponding to no rotation or a straight line) to 360 degrees (corresponding to a full rotation). In geometry, angles are used to describe the relationships between lines and shapes, and are an important concept in fields such as trigonometry and calculus.

To find the measure of angle B given cot B = 0.57736, we can use the inverse tangent function.

The tangent of an angle is the ratio of the opposite side to the adjacent side,

So cot B = adjacent side / opposite side.

By taking the inverse tangent of both sides and substituting cot B for adjacent side / opposite side, we arrive at the equation

B = arctan(cot B).

Evaluating arctan(cot B) using a calculator gives us the measure of angle B as,

B = arctan(cot B) = 56.31° (rounded to two decimal places)

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The complete question is: "Given cot B = 0.57736, determine the measure of angle B".

factor completely using distributive law -14-(-8)

Answers

Answer: To factor the expression -14 - (-8) completely using the distributive law, we need to simplify it first.

Remember that when we subtract a negative number, it is equivalent to adding the positive number. Therefore, -(-8) is the same as +8.

So the expression becomes:

-14 + 8

To factor it further using the distributive law, we can rewrite the addition as multiplication by distributing the -14 to both terms:

(-14) + (8) = -14 * 1 + (-14) * 8

This can be simplified as:

-14 + 8 = -14 * 1 + (-14) * 8 = -14 + (-112)

Finally, we can add the two negative numbers to get the result:

-14 + (-112) = -126

Therefore, the expression -14 - (-8) factors completely as -126.

Let f(x)=V3x and g(x)=×6. What'sthe smallest number that is in the domain off° g?

Let f(x)=V3x and g(x)=6. What'sthe smallest number that is in the domain off g?

Answers

Answer:

Explanation:

Given:

\(\begin{gathered} f(x)\text{ = }\sqrt{3x} \\ g(x)\text{ = x - 6} \end{gathered}\)

To find:

the domain of f o g

fog = (f o g)(x) = f(g(x))

First, we will substitute the expression in g(x) with x in f(x)

\(\)

QUESTION 9 1 POINT
Ron will be finishing his payments on his 8-year, $35,000 student loan and wants to know the amount of interest that he
paid over the course of the loan. The student loan has a 3.8% fixed interest rate that is compounded monthly. Calculate the
total amount of interest Ron paid, rounding to the nearest cent.
Provide your answer below:
FEEDBACK

Answers

The total amount of interest Ron paid over the course of the loan is approximately $12,220.63.

To calculate the total amount of interest paid on Ron's student loan, we need to use the formula for compound interest. The formula for compound interest is:

A = P(1 + r/n)^(nt) - P

Where:

A is the total amount including principal and interest.

P is the principal amount (loan amount).

r is the annual interest rate (as a decimal).

n is the number of times the interest is compounded per year.

t is the number of years.

In this case, Ron's loan amount is $35,000, the annual interest rate is 3.8% (or 0.038 as a decimal), the loan term is 8 years, and the interest is compounded monthly (n = 12).

Plugging in these values into the formula:

A = $35,000(1 + 0.038/12)^(12*8) - $35,000

Calculating the exponent:

A = $35,000(1 + 0.00316667)^(96) - $35,000

Using a calculator to evaluate the expression within parentheses:

A = $35,000(1.00316667)^(96) - $35,000

Calculating the exponent:

A = $35,000(1.34898777) - $35,000

Subtracting the principal amount:

A = $47,220.63 - $35,000

A = $12,220.63

Therefore, the total amount of interest Ron paid over the course of the loan is approximately $12,220.63.

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please help me with i’ll give you brainlist

please help me with ill give you brainlist

Answers

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.

What is whisker plot?

A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.

Here,

To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:

Minimum value: the smallest value in the data set.

First quartile (Q1): the median of the lower half of the data set.

Median: the middle value in the data set.

Third quartile (Q3): the median of the upper half of the data set.

Maximum value: the largest value in the data set.

First, we need to put the data in order:

10, 12, 14, 15, 16, 18, 22, 24, 25, 28

The minimum value is 10 and the maximum value is 28.

The median is the middle value, which is 18.

To find the first quartile, we need to find the median of the lower half of the data set, which is:

10, 12, 14, 15, 16

The median of this lower half is 14.

To find the third quartile, we need to find the median of the upper half of the data set, which is:

22, 24, 25, 28

The median of this upper half is 24.

So, the five-number summary for this data set is:

Minimum value = 10

First quartile (Q1) = 14

Median = 18

Third quartile (Q3) = 24

Maximum value = 28

Now we can use this information to create the box and whisker plot:

      |          |      

 ----+----+----+----+----

    10   14   18   24   28

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.

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What is the basic structure of an argument?
O A. An argument consists of premises that are used to support a conclusion.
O B. An argument consists of at least one premise and one fallacy that are used to support a conclusion.
O c. An argument consists of a fallacy that is used to support a conclusion.
OD. An argument consists of at least one premise that does not lead to a conclusion.
Textbook
Statcrunch
Ask my instructor
MacBook Air
80
F1
F2
F3
DII
F4
DD
F5
F6
F7
F8
F9

Answers

Answer:

B

Step-by-step explanation:

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which statement by a pregnant client who is human immunodeficiency (hiv) positive indicates her understanding of the risk to her newborn during delivery? If cheeseburgers become more expensive and consumers switch their purchases away from cheeseburgers but the consumer price index (cpi) still assumes they buy the same amount, then? PLEASE HELP ME WITH THIS chemical disequilibrium is likely to be present in all the following places except ________. 15/35 = g/7I'm supposed to solve it and then round to the nearest hundredth if necessary An e-commerce company is collaborating with artisans from all over the world to sell the artisans' products. Accenture is helping this client build a platform that will maintain the integrity of the artisans' credentials by creating digital identities for them. This creates a privacy-preserving link between the products and the artisan's unique identities. How will these digital identities help these artisans? How will these digital identities help these artisans?. What punctuation mark should follow a transitional tag?a dasha commaa quotation marka periodgtfthxcghtrxdxfgxthfxgf she is a kind change it into passive When a red light with a wavelength of 670 nm shines on a piece of metal, an electron is ejected. What is the energy of the photon absorbed by the electron to overcome the attractive forces?. Complete the following paragraph about the battles in the pacific theater brainly. the christian religion is, above all the religions that ever prevailed or existed in ancient or modern times, the religion of wisdom, virtue, equity and humanity. Is 3b-8=13;-7 a solution? Given: quadrilateral MATH; M(-5,-2), A(-3,2),T(3,2) and H(1,-2)Prove: MATH is a parallelogram Please help, will give brainliest !!Explain the role of density in the movement of deep currents.A. Cold, high salinity (salty) deep current water is less dense than warm, low salinitysurface current water. As warm water sinks, cold water will move in to take itsplace, creating a circular movement called a convection current.B. Cold, high (salinity) deep current water is more dense than warm, low salinitysurface current water. As warm water rises, cold water will move in to take itsplace, creating a circular movement called a convection current.C. Warm, high salinity (salty) deep current water is more dense than warm, lowsalinity surface current water. As warm water sinks, cold water will move in totake its place, creating a circular movement called a convection current.D. Warm, high salinity (salty) deep current water is less dense than warm, lowsalinity surface current water. As warm water sinks, cold water will move in totake its place, creating a circular movement called a convection current. equilbrium system: observations upon additon of hcl in which direction did this stress cause the equilibum system to shift Think about your own relationship to Literature. Then list three examples of Literature from your own life. Your examples could be books, short stories, plays, films, or even a song by your favorite singer or rapper. Christianity has expanded through repeated patterns of relocation diffusion to spread to the Americas. Which of the following explains the impacts of this diffusion on Christianity in the Americas? aThe repeated relocations have resulted in a single form of Christian religious beliefs and practices. bThe repeated relocations have resulted in a small number of ethnic Christian populations. cThe repeated relocations have resulted in a decline in the size of the Christian population. dThe repeated relocations have resulted in a wide diversity of Christian religious beliefs and practices. eThe repeated relocations have resulted in a single ethnic Christian population. This figure represents a garden box that is to be filled with soil.How much soil will it take to fill the garden box?Enter your answer in the box. While volunteering at a hospital, Alex learns that there are several different human blood types and they are determined by alleles. For example, a person with an allele for type A blood and an allele for type B blood will have type AB blood. Alex asks a nurse if blood type A or B is dominant. What answer does the nurse give him? Two individuals, Charlie and Harry live in the same village. Harry usually litters everywhere. Let L be the amount of litter Harry creates. xc and X be Charlie's and Harry's consumption amounts respectively, Assume that Harry has an income of $80 and his utility function is up (XH, L) = x* Charlie has an income of $60 and his utility function is uc(Xc, L) = Inxc 20 Let the price of consumption good x be $2 and litter is free to create with the maximum amount equal to 10 units. **L1/4 i) If there is no rule or law to forbid littering in the village, how many units of litter will there be in the village? Is this Pareto optimal and why? (3 marks) Suppose that in order to litter, Harry must buy the permits for littering. If the permits belong to Charlie, find the equilibrium amounts of L, xc, and XH. (6 marks) Find the set of Pareto optimal allocations. Is the equilibrium in ii) Pareto optimal? Discuss briefly. Draw the set together with the equilibrium on a diagram (7 marks) If there is an authority who can impose a per unit tax on littering. How much should be the tax if the amount of littering must not exceed 2 units? Suppose that all the tax revenue is given to Charlie. Will this achieve a Pareto optimal allocation? Explain.