What is the purpose of the list of grievances?
to list the reasons the colonists are abolishing their government

to explain the purpose of natural rights to the king

to declare that the United States of America is a free and independent state

to show that the colonists understand the importance of their actions

Answers

Answer 1

The purpose of the list of grievances is to declare that the United States of America is a free and independent state.

The colonists' complaints against King George's treatment of them were listed in the list of grievances. It was essentially a list of justifications for their declaration of independence.

A list of complaints that Thomas Jefferson thought George III, the king of Great Britain, had made against the colonists is included in the Declaration of Independence. The primary justifications for the Colonists' involvement in the American Revolution were described in these grievances. Taxation without representation, or as Thomas Jefferson more elegantly puts it, "for imposing Taxes on us without our Consent," is arguably the most significant of them.

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Related Questions

the top of the john hancock building is a rectangle whose length is 60 ft more than the width. the perimeter is 520 feet. find the width and the length of the rectangle.

Answers

The length and width of rectangle is 160 feet and 100 feet.

The perimeter of the rectangle is calculated by the formula -

Perimeter = 2 × (length + width)

As per the given information, length = (60 + width)

Keep the values in formula to find the breadth of rectangle.

520 = 2 × (60 + width + width)

520 = 2 × (60 + 2 × width)

(60 + 2 × width) = [tex]\frac{520}{2}[/tex]

(60 + 2 × width) = 260

2 × width = 260 - 60

2 × width = 200

Width = [tex]\frac{200}{2}[/tex]

Width = 100 feet

Keep the value in formula to find the length of perimeter

520 =  2 × (length + width)

Length + 100 = [tex]\frac{520}{2}[/tex]

Length = 260 - 100

Length =  160 feet

Hence, the length and width of rectangle is 160 feet and 100 feet.

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2x - 3y = 16
5x - 3y = 13
solve the systems of equations

Answers

The solution to the system of equation is (-1, -6)

System of equation

Given the system of equations

2x - 3y = 16

5x - 3y = 13

Subtract to have:

2x-5x = 16 - 13

-3x = 3

x = -3/3

x = -1

Substitute x = -1 into 1 to have:

2(-1) - 3y = 16

-2 - 3y = 16

-3y = 16 + 2

-3y = 18

y = -6

Hence the solution to the system of equation is (-1, -6)

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let be the largest integer whose square has exactly digits when written in base . what is , expressed in base ?

Answers

The largest integer whose square has exactly digits when written in base is 28 in base 9 .

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface Z .

Largest base 9 three digit number = 888  

And it can be represented as 728 in base 10, largest square is 26^2       26 that is 28 in base 9.

Therefore the largest integer whose square has exactly digits when written in base is 28 in base 9 .

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20867

ms adams shares out 50 between niamh and jack in the the ratio 3:7

Answers

Answer:niamh gets 15 and jack gets 35

Step-by-step explanation:

think of the raito 3:7 as 3x:7x. then we can do: 3x + 7x = 50, which means 10x = 50. then we can find x by dividing 50 by 10, so x is 5. then we can find 3x, whihc is 3x5 = 15. then find 7x, so 7x5 = 35. so niamh gets 15 and jack gets 35

Which expressions describe the end behaviors of the function f(x)=2^x+3. modeled by the graph attached to this. Choose all that are correct.

As x increases without bound, f(x) approaches zero.

As x decreases without bound, f(x) approaches zero.

As x decreases without bound, f(x) approaches the line y = 3.

As x increases without bound, f(x) increases without bound.

Answers

The graph of function f(x) = [tex]2^{x}[/tex] + 3 will be increases without bound As x increases without bound and As x decreases without bound, f(x) approaches the line y = 3 therefore option (C) and (D) will be correct.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand behavior of the graph.

Given the function,

f(x) = [tex]2^{x}[/tex] + 3

At x = 0 → f(0) = 2⁰ + 3 = 3

This is an exponential function as shown below which will be increasing as x increase while it will gain the value y = 3 as x decrease.

Hence "The graph of function f(x) = [tex]2^{x}[/tex] + 3 will be increases without bound As x increases without bound and As x decreases without bound, f(x) approaches the line y = 3".

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pls help it's due for a grade​

Answers

The answer is G, I took the quiz

Please help and disregard the work I’ve done because I feel it’s wrong

Answers

GIVEN THE FOLLOWING:

Mario's car rate consumption. R = 24.5mile/gallon

Distance covered each day, D = 32.3 miles

Cost of gas $2.89/gallon

REQUIRED: (a) To calculate how much he spends on gas each week.

We proceed as follow:

Mario uses 1 gallon of gas for every 24.5 miles.

For 32.3 miles, he will use [tex]\frac{32.3}{24.5} ~gallons~ of gas=\frac{325}{245} ~gallons[/tex]

Now, a gallon of gas costs $2.89

[tex]\frac{325}{245}~gallons~will~cost =?[/tex]

[tex]\frac{325}{245} ~*2.89=3.81[/tex]

$3.81 is how much he spends each workday.

There are 5 working days in a week.

Therefore, for a week, he spends:

[tex]3.81~*~5~=19.05[/tex]

therefore, for each work week, he spends $19.05 on gas.

(B) To calculate how many miles he can drive with $15.00 worth of gas

We proceed thus:

A gallon of gas costs $2.89.

$15.00 will amount to:

$15.00/$2.89 = 5.19 gallons

Recall that Mario uses 1 gallon of gas for every 24.5 miles.

Therefore, 5.19 gallons will be used for:

[tex]5.19~*24.5=127.155 ~miles[/tex]

≈ 127 miles

Therefore, with gas worth $15.00, Mario will cover a distance of 127 miles

Answered by:

AshTheNeko

Which equation can be used to solve for x in the following diagram?
Choose 1 answer:
A) 10x = 150
B) 10x + 90 = 180
C) 150 - 10x = 90
D) 10x + 150 = 180

PLEASE HELPP

Answers

Answer:

B

it is the right equation

hint: since there are 100 terms in the sum, it isn’t a good idea to write them all out and add. use the formula for the sum of terms of a geometric sequence. leave the answer with exponents rather than using a calculator to try to get a decimal approximation of the answer.

Answers

Final answer obtained is 2/3

What is a geometric sequence?

A geometric progression, sometimes referred to as a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio. For instance, the geometric progression 2, 6, 18, 54, etc. has a common ratio of 3. Similar to that, the geometric series 10, 5, 2.5, 1.25,... has a common ratio of 1/2.

Powers [tex]r^{k}[/tex] of a given non-zero number r, like [tex]2^{k}[/tex] and [tex]3^{k}[/tex], are examples of a geometric sequence. A geometric sequence's basic structure is

[tex]ar,ar^{2},ar^{3}.ar^{4},-----[/tex]

where a is not equal to 0 is a scale factor that is equal to the initial value of the series and r is not equal to 0 is the common ratio.

A series is a sum, whereas a progression is a sequence. This is the difference between the two.

∑[tex]_{i=0}^{n}[/tex] [tex]ar^{i}=\frac{a(1+r^{n+1})}{1-r}[/tex]

We see that n= 99, r= -1/2, a=1

∑[tex]_{i=0}^{99}[/tex] [tex](\frac{-1}{2}) i=[/tex] [tex]\frac{1-(\frac{-1}{2})^{99+1} }{1-\frac{1}{2} }=\frac{1-(\frac{-1}{2})^{100} }{1+\frac{1}{2} }=\frac{1-\frac{1}{2}^{100} }{\frac{3}{2} }[/tex]

[tex]=\frac{\frac{2^{100}}{2^{100}} -\frac{1}{2^{100}} }{\frac{3}{2} } =\frac{2*(2^{100}-1)}{3*2^{100}}[/tex]

[tex]\frac{2*(2^{100}-1)}{3*2^{100}}[/tex]

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a machine shop has eight screw machines but only three spaces available in the production area for the machine. in how many different ways can the eight machines be arranged in the three spaces available?

Answers

The eight machines can be arranged in the three available spaces in 336 ways.

Here we have 8 screw machines with 3 spaces. To find the different way, permutation will help.

Different ways = 8 P 3

= 8! / (8! -3!)

= 8! / 5!

= 8 x 7 x 6 x 5! / 5!

= 6x7x8 = 336.

Therefore, in 336 different ways the eight machines be arranged in the three spaces available.

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a large dump truck can move 1,500 tons/h of gravel from one point to another on a work site. what is this rate in lb/s? note that

Answers

This rate in lb/s is 833.33 lb/s if a large dump truck can move 1,500 tons/h of gravel from one point to another on a work site.

What do you mean by ton/h and lb/s?

The term "ton-hour" refers to a cooling service that provides 12,000 BTU of cooling, measured as a function of the amount of chilled water that flows through the Energy Transfer Station, the temperature difference between the chilled water at the Delivery Point, and the Return Point and the total BTU gain that occurs.

The imperial and US customary systems of measurement both utilize the unit of mass known as the pound (symbol: lb). The precise weight of the international avoirdupois pound, or today's standard pound, is 0.45359237 kilos. 16 avoirdupois ounces make up an avoirdupois pound.

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Question 1
A computer is set to shut down if the temperature exceeds 40°C. Give an equivalent statement using degrees Fahrenheit

Question 2
A certain brand of makeup is guaranteed not to run if the temperature is less than 35°C. Give an equivalent statement using degrees Fahrenheit

Answers

Answer:

1. 104F

2. 95F

Step-by-step explanation:

Formula for Celsius to Fahrenheit is

[tex](C*1.8) + 32 = F[/tex]

Question one:

40 times 1.8 = 72

72+32 = 104 Fahrenheit

Question two:

35 times 1.8 = 63

63+32 = 95 Fahrenheit

. How many minutes will she need to finish labeling all books if she takes no breaks and labels 10 books per minute?

Answers

Answer:

(a) 75 minutes

(b) 50 minutes

question 11(multiple choice worth 5 points) (01.06 mc) the length of a blue whale is approximately 3 × 104 millimeters; the length of an otter is 2 × 103 millimeters. how many times longer is the blue whale than the otter? 1.5 2 10 15

Answers

Blue whale is 15 times longer than otter.

To find how many times the blue whale is  longer than the otter, we will perform division. We will divide the length of blue whale by length of otter, which we will give us the desired result.

Now, performing calculation as per the above statements -

Number of times longer length = [tex]\frac{3*10^{4} }{2*10^{3} }[/tex]

Performing division of numbers. Also, as we know, on division the exponents are subtracted. Hence, subtracting the exponents to get the desired result.

Number of times longer length = 1.5*[tex]10^{4-3}[/tex]

The result will be -

Number of times longer length = 1.5*10

Performing multiplication -

Number of times longer length = 15

Hence, we get that blue whale is 15 times longer than otter.

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karen earn $10 per hour. she wants to go to a concert on saturday and the price of the ticket is $75, but her friend sold her a ticket for $50. if karen had to take 4 hours off of work to attend the concert, what was her total cost for going to the concert?

Answers

The total cost for going to the concert = $90.

What is opportunity cost?

The loss of value or benefit that'd result from engaging in a particular activity option in comparison to engaging in such an alternative activity which offers a higher come back on value or benefit is referred to as opportunity cost. The value of the best alternative picked during the decision-making process is provided.

What makes the opportunity cost significant?

We can select the best option out of all the options available with the aid of the idea of opportunity cost. It helps us use all of our resources as skillfully and productively as possible in order to maximize our financial gains.

According to the given data:

For her part-time job, Karen receives a $10 hourly wage. The cost of the concert ticket after the discount is $50, so she decided to go.

It will cost money to take four hours off work. $10 x 4

                                                                           =$40

Opportunity costs of going to the concert = $50 + $40

                                                                      = $90

It is evident that the opportunity cost will be $90.

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I understand that the question you are looking for is:

Karen earn $10 per hour. she wants to go to a concert on Saturday and the price of the ticket is $75, but her friend sold her a ticket for $50. if Karen had to take 4 hours off of work to attend the concert ,What was her opportunity cost of attending the concert?

a.$40

b.$50

c.$75

d.$90

PLEASE HELP I WILL GIVE OUT BRAINLIST ONLY FOR THE RIGHT ANSWERS

Answers

The measure of angle 2 and angle3 are 133 ad 47 degrees respectively

Vertical angles and angle on a straight line

From the given diagram, the measure of angle 1 and 2 are congruent. (vertical angles)

Given he following parameters

m<1 = 133 degrees

Since m<1 = m<2, hence m<2 = 133 degrees

Also;

m<2 + m<3 = 180

133 + m<3 = 180

m<3 = 180 - 133

m<3 = 47 degrees

Hence the measure of angle 2 and angle3 are 133 ad 47 degrees respectively

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Please help as fast as you can!!!!
-2 1/3 - 1 3/4=
Write the answer as a fraction please!!

Answers

Answer:-41/4 try that

the answer is : -49/12

What is the area of parallelogram ABCD with vertices A (2, 3), B (7, 3), C (8, -5), and D (3, -5)?

Answers

The area of the parallelogram ABCD with the vertices is 40 square units

What is the area of parallelogram ABCD with vertices?

The vertices are given as

(2, 3), B (7, 3), C (8, -5), and D (3, -5)

From the graph, we have the following dimensions

Base = 5 units i.e. distance AB

Height = 8 units i.e. the distance between the parallel sides

The area of the parallelogram is then calculated as

Area = Base * Height

So, we have

Area = 5 * 8

Evaluate

Area = 40

Hence, the area of the parallelogram ABCD with the vertices is 40 square units

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Convert the mixed number to an improper fraction 3 1/3

Answers

Answer:      10/3

Step-by-step explanation:

multiply the denominator, "3", by the mixed number "3", then add the numerator "1". So 3*3+1=10/3 (the denominator stays the same)

Answer: [tex]\frac{10}3}[/tex]

Answer:
[tex]\frac{10}{3}[tex]
Step-by-step explanation:
multiply whole number by the denominator
3+3 = 9
take that total you just got and add the numerator
9+1 = 10
keep the same denominator

What is an equation of the line that passes through the point (-4,5) and is perpendicular to the line 4x+y=7?

Answers

Answer:

y = [tex]\frac{1}{4}[/tex] x + 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

4x + y = 7 ( subtract 4x from both sides )

y = - 4x + 7 ← in slope- intercept form

with slope m = - 4

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-4}[/tex] = [tex]\frac{1}{4}[/tex] , then

y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation of the perpendicular line

to find c substitute )- 4, 5 ) into the partial equation

5 = - 1 + c ⇒ c = 5 + 1 = 6

y = [tex]\frac{1}{4}[/tex] x + 6 ← equation of perpendicular line

Please someone answer this question points.

Answers

9 trees!! Bcs you add 2 each time

Solve seven and three eighths times negative one and two thirds.

295 over 24
one and three fourths
negative seven and one fourth
negative 295 over 24

Answers

The evaluation of the expression gives -295/24. The correct option is the fourth option-   negative 295 over 24 (-295/24)

Evaluating an Expression

From the question, we are to evaluate the given expression

The given expression is,

7 3/8 × -1 2/3

To solve the expression, we will covert the fractions from mixed to improper fractions

7 3/8 × -1 2/3

59/8 × - 5/3

Multiplying, we get

-295/24

Hence, the evaluation of the expression gives -295/24. The correct option is the fourth option-   negative 295 over 24 (-295/24)

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What does mx or mx = b mean in math pls explain from like your knowledge

Answers

Step-by-step explanation:

In the equation y = mx + b for a straight line, the number m is called the slope of the line. In the equation y = mx + b for a straight line, the. number b is called the y-intercept of the line.

A jeweler has 5 rings, each weighing 12 g, made of an alloy of 5% silver and 95% gold. She decides to melt down the rings and add enough silver to reduce the gold content to 75%. How much silver should she add?.

Answers

The amount of silver that  should be added is 48% . A jeweler is said to have 5 rings that weigh 12 g apiece and are composed of an alloy of 20% silver and 80% gold.

What are linear equations?

An equation between two variables that, when plotted on a graph, produces a straight line.

The material will weigh 12 × 5 = 60 grams after melting all 5 rings.

The alloy's 20% silver and 80% gold content have been disclosed to us. Let's further say that the melted material receives an additional x grams of silver, resulting in a composition of 64% gold and 36% silver.

Thus, we can construct the following equation:

Amount of gold before = Amount of gold after mixing

So the equation we get

80% of 60 grams =64% of (X + 60) gram

0.80 × 60 = 0.64 (x + 60)

48 = 0.64x + 38.4

0.64x = 9.6

x = 9.6/0.64

x = 15

So

Amount of silver that needed to be added

= 0.64(15 + 60)

= 0.64(75)

= 48%

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Help me solve rational or irrational problems (15 points)

Answers

Answer:

Hello yeily, I think and believe they are all rational..

Step-by-step explanation:

Hope it helps <=/

Simplify the difference.
One rectangle has an area of ((7x² - 4x +12) ft². A second rectangle has an area of
(4x² + 2x − 1) ft².
How many more square feet is the first rectangle ?
O 3x² - 2x + 11
O 11x² - 6x + 11
O 3x²- 6x + 13
O-4x²-5x-9

Answers

Answer:

The first rectangle is 3x² - 6x + 13 more square feet then the second rectangle

Step-by-step explanation:

A rule for subtracting polynomials

Keep the first term the same Change the subtraction sign to addition Change the sign for every term

Steps

Keep the polynomial 7x²- 4x + 12 the same Change the subtraction sign to addition Change the sign for every term 4x² + 2x - 1 becomes -4x² - 2x + 13

At the end of the expression is (7x²- 4x + 12) + -4x² - 2x + 1

At this point you combine like terms like you do with adding polynomials so ( 7x² + (-4x²) is 3x², (-4x) + (-2x) is (-6x), and 12 + 1 is 13) so the final answer would be 3x²-6x+13

14.2 in scientific notation

Answers

Answer: 1.42 x 10^1

Step-by-step explanation:

Answer: 1.42x10

Step-by-step explanation:

Alexis and her sister bought school supplies.
Alexis bought 5 spiral notebooks and 6 book
covers for $27. Her sister bought 4 spiral
notebooks and 2 book covers for $16. Find
the cost for each spiral notebook and each
book cover.

Answers

The cost of each spiral notebook is $3 and the cost of each book cover is $2

Given that Alexis and her sister bought school supplies. Alexis bought 5 spiral notebooks and 6 book covers for $27. Her sister bought 4 spiral notebooks and 2 book covers for $16 and asked to find out the cost of each spiral notebook and each book cover.

Let's assume spiral notebooks as "x"  and book covers as "y".

As a result, two linear equations in two variables will be formed.

⇒5x+6y=$27; Let's assume this equation as A

⇒4x+2y=$16; Let's assume this equation as B

Multiply equation B with 3

⇒12x+6y=$48; Let's assume this equation as C

Equation c- Equation A

⇒$48-$27=7x

⇒7x=$21

⇒x==$3

The cost of the spiral notebook is $3

From equation A

⇒5($3)+6y=$27

⇒$15+6y=$27

⇒6y=$12

⇒y=$2

The cost of the book cover is $2

Therefore,The cost of each spiral notebook is $3 and the cost of each book cover is $2

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find all values of x in the interval [0, 2????] that satisfy the inequality. (enter your answer using interval notation.)

Answers

A component of the interval is x (π/4, 5π/4) when 5 sin(x) > 5 cos(x).

What does a math inequality mean?

A relation in mathematics that compares two numbers or even other mathematical expressions in an unequal way is known as an inequality. When comparing two numbers on a number line, it is most frequently used to compare their sizes.

According to the given information:

5 sin(x) > 5 cos(x)

To removing constant we divide both the side by 5:

5sin(x) > 5 cos(x)

sin(x) >  cos(x)

sin x > cos x;

sin x = cos x; tan x = 1; x = π/4 or x = 5π/4

sin x > cos x for x ∈ (π/4, 5π/4)

A component of the interval is x (π/4, 5π/4) when 5 sin(x) > 5 cos(x).

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I understand that the question you are looking for is:

Find all values of x in the interval [0, 2] that satisfy the inequality. (Enter your answer using interval notation.) 5 sin(x) > 5 cos(x)

how many numbers are in the first $20$ rows of pascal's triangle (from the $0$th row to the $19$th row)?

Answers

Numbers in the first 20 rows of pascal's triangle are 210

Pascal's triangle is a triangular array of the binomial coefficients that arises in probability theory, combinatorics, and algebra.

We have been given that:

Numbers of rows = 20

Pascal's triangle formula

1 + 2 + 3 + ….+ 19 + 20  = n (n + 1) / 2  

n=20

 (20)×(21)/ 2  = 210

Pascal's triangle patterns is its symmetry. Observe that in any row, if we read the consecutive numbers from the left, we will obtain the same as if we read them from the right.

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water molecules are made of hydrogen atom(s) and oxygen atom(s). (use only one number per blank.) quiozlet Keitaro walks at a pace of 3 miles per hour and runs at a pace of 6 miles per hour. Each month, he wants to complete at least 36 miles but not more than 90 miles. The system of inequalities represents the number of hours he can walk, w, and the number of hours he can run, r, to reach his goal.3w + 6r 363w + 6r 90A graph shows w on the x-axis, from 0 to 30, and t on the y-axis, from 0 to 24. Two solid lines are shown. The first line has a negative slope and goes through (0, 6) and (12, 0). Everything above and to the right of the line is shaded. The second line has a negative slope and goes through (0, 15) and (30, 0). Everything to the left of the line is shaded.Which combination of hours can Keitaro walk and run in a month to reach his goal?2 hours walking; 12 hours running4 hours walking; 3 hours running9 hours walking; 12 hours running12 hours walking; 10 hours running Find the surface area of a cube with side length og 6 1/2 inches.PLEASE SHOW WORK s is a life insruance policyowner and enters into a written agreement to receive immediate cash in exhage Katie is buying souvenir gifts for her big family back home. She wants to buy everyone either a key chain or a magnet. The magnets are on sale for 50 cents each and the key chains cost $1 each. She must purchase at least 24 gifts and spend no more than $20. Let represent the number of magnets and represent the number of key chains.Model the scenario with a system of inequalities.Graph the system of inequalities and choose an appropriate solution for the scenario. Use complete sentences to prove why the solution is appropriate. While reading a research article, you note a phrase that predicts that individuals who exercise more will lose weight easier. How would you categorize this statement?. which words from the fall of the house of usher best characterize the antiquity? (5 points) discoloration of ages Define restorative care and what role it would play in helping with Mrs gregs rehabilitation how could the psw assist with this process Of all the strategies for reaching global markets, offers the least amount of commitment, control, risk, and profit potential. X. You deposit money in an account that earns Simple interest at an annual rate of 6%. After 8 years.Ythe account earns $360 in interest. How much money did you deposit in the account? ReadyLinear Functions: Rate of Change and initial value-Quiz-Level HJoaquin's car has a full tank of gas at the start of a trip. The graph shows the amount of gas in thetank, y, as a function of the distance traveled, x.What is the initial value of the function? What is the Relationship between happiness and suffering Identify the rule(s) of algebra illustrated by the statement. (Select all that apply.) 1 (1 + x) = 1 + x What is the image of the point (-1,-4) after a rotation of 90 counterclockwise about the origin BEST ANSWER GETS BRAINILEST AND 45 POINTS Why did the Yongle Emperor commission the treasure fleet? Select the best answer from the choices below.a. He wanted to demonstrate the might of the Ming Dynasty to the worldb. He wanted to learn about other culturesSelected:c. He wanted to trade with other countriesThis answer is incorrect.d. He wanted his admiral to bring him treasure from around the world the inferior medical care that members of socially disadvantaged groups often receive is evidence that still exists in the medical establishment. How do strikes pressure employers to improve worker conditions Mg in chlorophyll, C55H72MgN4O5 (the green pigment in plant cells)Express your answer using five significant figures. Determine the percent, by mass, for Mg a tripod has three legs each of length 5 feet. when the tripod is set up, the angle between any pair of legs is equal to the angle between any other pair, and the top of the tripod is 4 feet from the ground. in setting up the tripod, the lower 1 foot of one leg breaks off. let $h$ be the height in feet of the top of the tripod from the ground when the broken tripod is set up. then $h$ can be written in the form $\frac{m}{\sqrt{n}}$, where $m$ and $n$ are positive integers and $n$ is not divisible by the square of any prime. find $\lfloor m \sqrt{n} \rfloor$. (the notation $\lfloor x \rfloor$ denotes the greatest integer that is less than or equal to $x$.) Calculus help please