18624 to the nearest thousand​

The function that correctly defines S(x) is S(x) = 5x - 2(20 - x) + 20

We have the following definitions in the question

If the total questions is 20, then

Incorrect answers = 20 - x

So, the points gained/lost are

Gained = 5 * x = 5x

Lost = -2 * (20 - x) = -2(20 - x)

Bonus = 20

Add the above points to get the function S(x)

S(x) = 5x - 2(20 - x) + 20

Hence, the definition is S(x) = 5x - 2(20 - x) + 20

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Answer:

Anti-Federalism

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For the faction opposed to the policies of U.S. President George Washington, see the Anti-Administration party.

The Articles of Confederation, the predecessor to the U.S. Constitution and drafted from Anti-Federalist principles

Anti-Federalism was a late-18th century movement that opposed the creation of a stronger U.S. federal government and which later opposed the ratification of the 1787 Constitution. The previous constitution called the Articles of Confederation and Perpetual Union, gave state governments more authority. Led by Patrick Henry of Virginia, Anti-Federalists worried, among other things, that the position of president, then a novelty, might evolve into a monarchy. Though the Constitution was ratified and supplanted the Articles of Confederation, Anti-Federalist influence helped lead to the passage of the United States Bill of Rights.

Contents

Major points

They believed the Constitution needed a Bill of Rights.

They believed the Constitution created a presidency so powerful that it would become a monarchy.

They believed the Constitution did too little with the courts and would create an out-of-control judiciary.

They believed that the national government would be too far away from the people and thus unresponsive to the needs of localities.

They believed the Constitution would abrogate, at least in part, the power of the states.[1]

History

During the American Revolution and its immediate aftermath, the term federal was applied to any person who supported the colonial union and the government formed under the Articles of Confederation. After the war, the group that felt the national government under the Articles was too weak appropriated the name Federalist for themselves. Historian Jackson Turner Main wrote, "to them, the man of 'federal principles' approved of 'federal measures,' which meant those that increased the weight and authority or extended the influence of the Confederation Congress."[2]

As the Federalists moved to amend the Articles, eventually leading to the Constitutional Convention, they applied the term anti-federalist to their opposition. The term implied, correctly or not, both opposition to Congress and unpatriotic motives. The Anti-Federalists rejected the term, arguing that they were the true Federalists. In both their correspondence and their local groups, they tried to capture the term. For example, an unknown anti-federalist signed his public correspondence as "A Federal Farmer" and the New York committee opposing the Constitution was called the "Federal Republican Committee." However, the Federalists carried the day and the name Anti-Federalists forever stuck.[2]

The Anti-Federalists were composed of diverse elements, including those opposed to the Constitution because they thought that a stronger government threatened the sovereignty and prestige of the states, localities, or individuals; those that saw in the proposed government a new centralized, disguised "monarchic" power that would only replace the cast-off despotism of Great Britain;[3] and those who simply feared that the new government threatened their liberties. Some of the opposition believed that the central government under the Articles of Confederation was sufficient. Still, others believed that while the national government under the Articles was too weak, the national government under the Constitution would be too strong. Another complaint of the Anti-Federalists was that the Constitution provided for a centralized rather than federal government (and in The Federalist Papers, James Madison admits that the new Constitution has the characteristics of both a centralized and federal form of the government) and that a truly federal form of government was a leaguing of states as under the Articles of Confederation.

During the period of debate over the ratification of the Constitution, numerous independent local speeches and articles were published all across the country. Initially, many of the articles in opposition were written under pseudonyms, such as "Brutus" (likely Melancton Smith),[4] "Centinel" (likely Samuel Bryan), and "Federal Farmer." Eventually, famous revolutionary figures such as Patrick Henry came out publicly against the Constitution. They argued that the strong national government proposed by the Federalists was a threat to the rights of individuals and that the president would become a king. They objected to the federal court system created by the proposed constitution. This produced a phenomenal body of political writing; the best and most influential of these articles and speeches were gathered by historians into a collection known as the Anti-Federalist Papers in allusion to the Federalist Papers.

Answer: $9,975

Step-by-step explanation:

5% of 9,500 is 475

Since the cost is increased, you will add 475 to 9,500

9,500 + 475 = 9,975

The required  markup value is $475.

Mark up refers to the value that a player adds to the cost price of a product. The value added is called the mark-up. The mark-up added to the cost price usually equals retail price.

Given:

The original cost of item(C.P) = $9,500

Mark up percentage = 5% = 0.05

According to given question we have

By use of profit and loss formula we get

Markup value= original cost ×percentage

Markup value=$9,500×0.05

Markup value=$475

Therefore, the required  markup value is $475.

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The correct option that result the data with variability:

C. The shoe size of the various 5 year olds.

D. The number of patients at the doctor's office each day.

The term "variability" refers to the distance between data points within a distribution and their distance from its centre. Measures of variability provide you summary statistics that summarise your data in addition to measurements of central tendency.

Spread, scatter, and dispersion are other terms for variation. It is often assessed using the following:

Thus, the result the data with variability:

C. The shoe size of the various 5 year olds as it will vary for different children.

D. The number of patients at the doctor's office each day is also variable.

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so we have a point at -2-i or -2 - 1i, that means that both "x" and "y" are negative, the only occurs in the III Quadrant, so hmmm let's find the modulus and angle θ

\(\stackrel{a}{-2}\stackrel{b}{-1i}\hspace{5em} \begin{cases} r=\sqrt{(-2)^2 + (-1)^2}\\ \qquad \sqrt{5}\\ \theta =tan^{-1}\left( \frac{-1}{-2} \right)\\[1em] \qquad \approx 206.57^o \end{cases} \\\\\\ \stackrel{\textit{let's keep in mind that}}{\sqrt[3]{\sqrt{5}}\implies \left( 5^{\frac{1}{2}} \right)^{\frac{1}{3}}}\implies 5^{\frac{1}{6}}\implies \sqrt[6]{5} \\\\[-0.35em] ~\dotfill\)

\(\sqrt[n]{z}=\sqrt[n]{r}\left[ \cos\left( \cfrac{\theta+2\pi k}{n} \right) +i\sin\left( \cfrac{\theta+2\pi k}{n} \right)\right]\quad \begin{array}{llll} k\ roots\\ 0,1,2,3,... \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\)

\(\boxed{k=0}\hspace{5em} \sqrt[ 3 ]{\sqrt{5}} \left[ \cos\left( \cfrac{ 206.57^o + 360^o( 0 )}{3} \right) +i \sin\left( \cfrac{ 206.57^o + 360^o( 0 )}{3} \right)\right] \\\\\\ \sqrt[ 6 ]{5} \left[ \cos\left( \cfrac{ 206.57^o }{3} \right) +i \sin\left( \cfrac{ 206.57^o }{3} \right)\right] \\\\\\ \sqrt[6]{5}\left[ \cos(68.86^o) +i \sin(68.86^o)\right] ~~ \approx ~~ 0.47~~ + ~~1.22i \\\\[-0.35em] ~\dotfill\)

\(\boxed{k=1}\hspace{5em} \sqrt[ 6 ]{5} \left[ \cos\left( \cfrac{ 206.57^o + 360^o( 1 )}{3} \right) +i \sin\left( \cfrac{ 206.57^o + 360^o( 1 )}{3} \right)\right] \\\\\\ \sqrt[ 6 ]{5} \left[ \cos\left( \cfrac{ 566.57^o }{3} \right) +i \sin\left( \cfrac{ 566.57^o }{3} \right)\right] \\\\\\ \sqrt[ 6 ]{5} \left[ \cos(188.86^o) +i \sin(188.86^o)\right] ~~ \approx ~~ -1.29~~ - ~~0.20i \\\\[-0.35em] ~\dotfill\)

\(\boxed{k=2}\hspace{5em} \sqrt[ 6 ]{5} \left[ \cos\left( \cfrac{ 206.57^o + 360^o( 2 )}{3} \right) +i \sin\left( \cfrac{ 206.57^o + 360^o( 2 )}{3} \right)\right] \\\\\\ \sqrt[ 6 ]{5} \left[ \cos\left( \cfrac{ 926.57^o }{3} \right) +i \sin\left( \cfrac{ 926.57^o }{3} \right)\right] \\\\\\ \sqrt[ 6 ]{5} \left[ \cos(308.86^o) +i \sin(308.86^o)\right] ~~ \approx ~~ 0.82~~ - ~~1.02i\)

just a quick clarification, notice that if we get the inverse tangent of (-1 / -2) the angle we get will be in the range of ±π/2, that's because that is the range inverse tangent is restricted to, however, our terminal point on the complex plane is on the III Quadrant, not the 1st one, so we use the reference angle on the III Quadrant, and that is about 206.57°.

The amount allowed for housing and expenses is $2023.73.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Gross pay = $2759

Deduction:

7.65%

= 7.65/100 x 2759

= $211.06

12%

= 12/100 x 2759

= $331.08

7%

= 7/100 x 2759

= $193.13

The remaining amount.

= 2759 - 211.06 - 331.08 - 193.13

= $2023.73

Thus,

The amount allowed is $2023.73.

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The whole number that can be substituted for z is 1.

To order these numbers from least to greatest, we need to first find a value for x that makes the expressions comparable.

1/x can be rewritten as 0.01/x

80% can be written as 0.8

So, the list becomes:

0.01/x, x/3, 0.8

To compare 0.01/x and x/3, we can cross-multiply and simplify:

0.01/x < x/3

0.01*3 < x^2

0.03 < x^2

x > sqrt(0.03)

Since x has to be a whole number, the smallest possible value for x is 1.

So, substituting x = 1, the list becomes:

0.01, 1/3, 0.8

Ordering these from least to greatest, we get:

0.01, 0.8, 1/3

Therefore, the whole number that can be substituted for z is 1.

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Step-by-step explanation:

Total =180°

Top vertex=39°

2base angles=180-39

2base angles=141

base anglez=141/2

Answer:

I think it is 6.24

Step-by-step explanation:

not really sure

Answer:

150

Step-by-step explanation:

The correct answer is: the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1

What is a Pythagorean identity?

The Pythagorean identity for sine and cosine states that for any angle θ,

sin²θ + cos²θ = 1

We can use the given values of sine and cosine to find the missing trigonometric function:

tan(θ) = sin(θ) / cos(θ) = (8/17) / (15/17) = 8/15

Now, we can use the Pythagorean identity to determine which of the given statements is true:

1 + (8/17)² = 1 + 64/289 = 353/289 ≠ (15/17)²

1 + (15/17)² = 1 + 225/289 = 514/289 ≠ (8/17)²

(8/17)² + (15/17)² = 64/289 + 225/289 = 1

Therefore, the statement that can be proven using the Pythagorean identity is:

(8/17)² + (15/17)² = 1

Hence, the correct answer is: the quantity 8 over 17 end quantity squared plus the quantity 15 over 17 end quantity squared equals 1

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Answer:

4%

Step-by-step explanation:

Answer:

£76

Step-by-step explanation:

\(28+16(1.5/0.5)=28+16(3)=28+48=76\)

The statement is always true. When reflected, each point of original figure is mapped to corresponding point on reflection, such that the line connecting each point and its corresponding point is perpendicular to line of reflection.

The adage is always accurate. Each point on the original figure is mapped to a corresponding position on the reflection when a figure is reflected, with the result that the line connecting each point to its corresponding point is perpendicular to the line of reflection. This essential characteristic of reflections can be demonstrated using simple geometry.

Consider a line of reflection and a point P on the original figure to understand why this is the case. Let P' represent P's reflected image. We know that PP' is perpendicular to the line of reflection because the line of reflection is the perpendicular bisector of the line segment connecting P and P'. The resulting segments are all perpendicular to the line of reflection because this is true for every point on the original figure and its corresponding point on the reflection.

This reflection characteristic has numerous practical uses, not just in mathematics. When designing optical components like mirrors and lenses, for instance, where the direction of reflected or refracted light is important, this technique is applied. Furthermore, reflections are frequently utilised in geometric proofs and constructions, where they can make complex issues easier to understand by reducing them to more straightforward, symmetric situations.

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Answer:

The coefficients of the x-terms have opposite values.

Step-by-step explanation:

The x terms are opposite values (the coefficients of the x-terms have opposite values( one negative or one positive so that when added the answer is zero

Example     y + 24x = 50

              + 2y - 24x  = 40    

                  3y           =  90

Answer:

$7/lb

Step-by-step explanation:

$70 / 10 lb = $7/lb

Answer:

$7 per pound of letuce

Step-by-step explanation:

We know

10 pounds = $70

1 pounds = ?

We cross multiply and get:

$7 per pound of letuce

So, the answer is $7 per pound of letuce

Answer:

we need to add a²=6² to both sides of \(x^2+12x+6^2=-100+6^2\)  in order to rewrite in the form \(\left(x\:+\:a\right)^2\:=\:b\).

Step-by-step explanation:

Given the equation

\(-3x^2-36x=300\)

First of all, we need to divide both sides by -3 to simplify it

i.e.

\(\frac{-3x^2-36x}{-3}=\frac{300}{-3}\)

\(x^2+12x=-100\)

In order to rewrite in the form \(\left(x\:+\:a\right)^2\:=\:b\), we need to add a²=6² to both sides

\(x^2+12x+6^2=-100+6^2\)

so

\(\left(x+6\right)^2=-64\)

Therefore, we need to add a²=6² to both sides of \(x^2+12x+6^2=-100+6^2\)  in order to rewrite in the form \(\left(x\:+\:a\right)^2\:=\:b\).

Answer:

x = 3

Step-by-step explanation:

2x + 12 = 18

The variable is "x" and to find the value of x we must get rid of everything on the left side of the equation.

We can easily do this by using inverse operations

To get rid of the 12, we subtract 12, because in the expression its adding and the inverse of addition is subtraction.

But remember whatever we do to one side we have to do to the other, so we subtract 12 from each side

12 - 12 cancels out

18 - 12 = 6

we now have 2x = 6

now we want to get rid of the 2

2x is the same as 2 times x which is multiplication

The inverse of multiplication is division, so to get rid of the 2 we divide each side by 2

2x / 2 = x

6 / 2 = 3

we're left with x = 3

A statement that must be added to the given to keep this proof valid include the following: D. KN || LM.

In Mathematics, parallel lines can be defined as two (2) lines that are always the same (equal) distance apart and never meet.

In Mathematics, the basic proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third (3rd) side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.

Based on the basic proportionality theorem, we know that line segment KN is parallel to line segment LM.

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Answer:

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

Given two similar triangles:

Angle X is corresponding to angle R, hence they are congruent:

The factorisation of the given polynomial is (x²+4)(x²+8). Therefore, option B is the correct answer.

The given polynomial is \($x^4+12 x^2+32$\).

We need to factorise the given polynomial.

How to factorise the polynomial?

In mathematics and computer algebra, factorization of polynomials or polynomial factorization expresses a polynomial with coefficients in a given field or in the integers as the product of irreducible factors with coefficients in the same domain,

Now, \($x^4+12 x^2+32=x^4+8 x^2+4 x^2+32$\)

\($$\begin{aligned}&=x^2\left(x^2+8\right)+4\left(x^2+8\right) \\&=\left(x^2+4\right)\left(x^2+8\right)\end{aligned}$$\)

The factorisation of the given polynomial is (x²+4)(x²+8). Therefore, option B is the correct answer.

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Answer:

2x ≥ -14

Step-by-step explanation:

FYI, a closed/filled in dot means the number it is on is part of the solution, whilst an open dot means the number it is on is not part of the solution. In this case, we have a closed dot on the plot, which means that -7 is a part of the solution.

Now that you know this, let's solve through each inequality.

Let's start with the first one, x - 14 > 7:

We can remove the constant on both sides by adding 14, resulting in:

x > 21 or x is greater than 21

Now let's move on to the next one (and decide answer later):

x - 7 ≥ 14

We can remove the constant by adding 7 on both sides, leaving us with:

x ≥ 21 or x is greater than or equal to 21

Next:

2x ≥ -14

To simplify, we can divide by two on both sides:

x ≥ -7 or x is greater than or equal to -7

Last but not least, we have:

14x ≥ -2

We can divide by 14 on both sides to get:

x ≥ -2/14 or x ≥ -1/7 which both mean that x is greater than or equal to -1/7.

These are the simplified equations:

x > 21 (incorrect)

x ≥ 21 (incorrect)

x ≥ -7  (correct)

x ≥ -1/7 (incorrect)

Of these, the third one is correct: 2x ≥ -14 as it works with the graph and does include -7 as a part of the solution.

Hope this helped!!! :DDD

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the answer is d because

20 is "=" 5 times "×" as 4

so the formula derived is

20= 5x4

is represents =

times represents ×

hope you get it

Answer:

4/5

Step-by-step explanation:

this can be divided by 6 to get you this answer

Answer:

That depends on which operations you want to do first. The order of operations affect to outcome of the equation.

In this case:

15 - (3 x 4) + 9 = 12

Answer:

It varies but this is one example

15 - (3 x 4) + 9 = 12

plz mark as brainliest

Answer: 0

Step-by-step explanation: I am going by the words , there WERE 3 ponies. So Sarah couldn’t take any rides.

Answer:

Make sure you have a way to prove that you didn't. like maybe the work that you've shown for the assignment.

Step-by-step explanation:

Answer:

Just put quotaitions and sight ur scourse that ALWAYS helps and if they say ur still plaigerizing just tell your parent sif ur homeschooled!

Answer:

4n-10, Answer is D

Step-by-step explanation:

First we will use n as any number.

the difference between each of the numbers is +4

This creates first part of the formula.

4n...

If you do 4n and replace n as one (For the first number of the sequence) then 4×1=4. You then have to find out how much you need to add or subtract to get -6 so the difference between 4 and -6 is -10.

This creates the second part of our formula.

4n - 10

You can check this by doing the same thing for the second number and replacing n with 2.

2×4=8

8 - 10= -2 which is the second number in the sequence which confirms this is correct.

Answer:

If f(-5) = 7, then the point P(-5, 7) will be on the graph of f

where -5 is the x-coordinate and 7 is the y-coordinate

Step-by-step explanation: