Write an equation of the line in slope intercept form that is is perpendicular to the equation y = -5x + 1 through the point (2,-1)?

Answer:

22° + m<C = 90°

Step-by-step explanation:

We are given that <A (which is equal to 22°) and <B are vertical angles, and that <B is complementary to <C.

We want to write an equation that will help us solve <C.

Recall that vertical angles are congruent by vertical angles theorem.

This means that <A ≅ <B; it also means that the measure of <B is also 22°.

Also recall that complementary angles add up to 90°.

This means that m<B + m<C = 90°.

Since we deduced that m<B is 22°, we can substitute that value into the equation.

Hence, an equation that can be used to solve for <C is:

22° + m<C = 90°

The x- and y-intercepts of the graph of x+10y = 20 include the following:

x-intercept = (20, 0).

y-intercept = (0, 2).

In Mathematics, the x-intercept is also referred to as horizontal intercept and the x-intercept of the graph of any function simply refers to the point at which the graph of a function crosses or touches the x-coordinate (x-axis) and the y-value or value of "y" is equal to zero (0).

x + 10y = 20

x + 10(0) = 20

x = 20

Therefore, the x-intercept is (20, 0).

For the y-intercept of the function, we have:

x + 10y = 20

0 + 10y = 20

y = 20/10

y = 2

Therefore, the y-intercept is (0, 2).

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Answer:

Step-by-step explanation:

In population genetics, the Hardy–Weinberg principle, also known as the Hardy–Weinberg equilibrium, model, theorem, or law, ... Males, A (p), AA (p2), Aa (pq) ... The sum of the entries is p2 + 2pq + q2 = 1, as the genotype frequencies must sum to ... Suppose that Aa is a pair of Mendelian characters, A being dominant, and

alternate exterior angles

Answer:

136,900

Step-by-step explanation:

If you mean 'to the power of 2', then you're talking about exponents.

37 times 10 equals 370.

370 to the power of 2, or 370 x 370, equals 136, 900.

      370

+    370

______

136,900

Answer:

Q.1 14x³ by 42x²

= 14x³/42x²

= x/3

Q.2 11xy²z³ by 55xyz

= 11xy²z³/55xyz

= 1/5yz²

Answer:

f(2) = 9

Step-by-step explanation:

It's give in the question,

Two different functions are,

f(x) = 4x + 1

g(x) = -2x

Then we have to find the output value of function 'f' for the input value x = 2.

By substituting the value of x in the function 'f',

f(2) = 4(2) + 1

     = 9

f(2) = 9

Answer:

15m

Step-by-step explanation:

The third side = (2/3 - 1/5) of the perimeter = 7/15 of the perimeter = 7m

The first side is 1/3 (=5/15) of the perimeter = 5m

The second side is then 3m ( or 1/5=3/15 of the perimeter).

The triangle perimeter is 15 meters (=7 m+5m+3m)

Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

The functions for this problem are defined as follows:

The functions for this problem are given as follows:

The addition and subtraction functions for this problem are given as follows:

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

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The total cupcakes the bakery sell that day is 80

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

Number of sales = 76

Proportion = 95%

This implies that

Number of sales = Proportion * Total number of cupcakes

Substitute the known values in the above equation, so, we have the following representation

76 = 95% * Total number of cupcakes

Divide both sides by 95%

Total number of cupcakes = 80

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9514 1404 393

Answer:

  ∠SRT = 52°

  ∠STR = 78°

Step-by-step explanation:

Use the value of x in the angle expressions.

  ∠SRT = 2x = 2(26°) = 52°

  ∠STR = 3x = 3(26°) = 78°

Answer:

57 centimeters = 57 × 0.39370078740175 = 22.4409448819 inches.

57 inches is 144.78 centimeters.

Answer:

the perdom

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Part A: The total area of the brick paver border is \(960\) square feet.

Part B: The total cost of the brick pavers needed for this project is $\(7,680\).

Part A: To find the total area of the brick paver border, we need to subtract the area of the pool from the area of the larger rectangle. The area of the pool is \(32\) feet multiplied by 12 feet, which is equal to \(384\)square feet.

The area of the larger rectangle is \(48\) feet multiplied by \(28\) feet, which is equal to \(1,344\) square feet. Therefore, the area of the brick paver border is \(1,344\) square feet minus \(384\) square feet, which equals \(960\) square feet.

Part B: If brick pavers cost $\(8\)per square foot, we can calculate the total cost by multiplying the cost per square foot by the total area of the brick paver border. The total area of the brick paver border is \(960\) square feet, and the cost per square foot is $\(8\).

Therefore, the total cost of the brick pavers needed for this project is $\(8\)multiplied by \(960\) square feet, which equals $\(7,680\).

Note: The calculations provided assume that the border consists of a single layer of brick pavers.

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Answer:

\(\displaystyle A=\frac{20}{3}\)

Step-by-step explanation:

\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)

Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.

Answer:

-7.225 according to a calculator.

Answer:

24 blocks

Step-by-step explanation:

He walks 5 blocks to get to the mall, another 7 to get to the theatre, and then walks 7 blocks to get to the store and then 5 more to get home.

Answer:

\( m\angle O = 134 \degree\)

Step-by-step explanation:

AC and AB are tangents to the circle with center O on points C and B respectively from point A.

Therefore

\( m\angle ACO=m\angle ABO=90\degree \)

\( m\angle CAB=46...(given) \degree \)

\(m\angle O = 360 \degree - (2 \times 90 \degree + 46 \degree) \\ \\ m\angle O = 360 \degree - (180 \degree + 46 \degree) \\ \\ m\angle O = 360 \degree - (226 \degree) \\ \\ m\angle O = 134 \degree\\ \\ \)

Answer:

\(\frac{p^2-25}{p^2-10p+25}\)

We can factorise the numerator with the difference of squares formula:\(x^2-y^2=(x+y)(x-y)\)

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

\(\frac{p^2-5^2}{p^2-10p+25} =\frac{(p+5)(p-5)}{p^2-10p+25}\)

Now we can factorise the denominator:

\(\frac{(p+5)(p-5)}{p^2-10p+25} =\frac{(p+5)(p-5)}{(p-5)^2}\)

\(\frac{(p+5)(p-5)}{(p-5)^2} =\frac{(p+5)(p-5)}{(p-5)(p-5)}\)

Cancel out the common factor of (p-5):

\(\frac{(p+5)(p-5)}{(p-5)(p-5)} =\frac{(p+5)}{(p-5)}\)

Answer:

True:

D.

E.

F

Step-by-step explanation:

First, you should know that the square of any odd number is also odd.

The easiest way to go about this is to plug in an odd number for n. Lets use 3:

Plug 3 into A:

\(3^{2} -1=9-1=8\)

Plug 3 into B:

\(3(3-1)=9-3 = 6\)

Plug 3 into C:

\((3-2)^{2} = 2^{2} = 4\)

Plug 3 into D:

\(3^{2} +2 = 9+2=11\)

Plug 3 into E:

\(3(3-2) = 9-6 = 3\)

Plug 3 into F:

\((3-2)^{2}=1^{2} =1\)

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:

+265

Step-by-step explanation:

a sum of money placed or kept in a bank account, usually to gain interest.

So basically your saving money instead of losing by, keeping it in the bank safely.

12 mixed nuts packs

The box weighs 16 1/2 ounces

1 mixed nut = 1 3/8 ounces

let the number of fruit mixed nut in the box = y

1 mixed nut = 11/8 ounces

y = 33/2 ounces

cross multiply:

Answer:

90°

Step-by-step explanation:

Through point O draw a ray on left side of O which is || to AB & CD and take any point P on it.

Therefore,

∠ABO + ∠BOP = 180° (by interior angle Postulate)

118° + ∠BOP = 180°

∠BOP = 180° - 118°

∠BOP = 62°.... (1)

Since, ∠BOP + ∠POD = ∠BOD

Therefore, 62° + ∠POD = 152°

∠POD = 152° - 62°

∠POD = 90°.....(2)

∠POD + ∠ODC = 180° (by interior angle Postulate)

90° + ∠ODC = 180°

∠ODC = 180° - 90°

\( \huge\red {\boxed {m\angle ODC = 90°}} \)

The force vector F in terms of i and j, considering it's magnitude and angle, is represented by:

\(V = 11\sqrt{2}i + 11\sqrt{2}j\)

Given a magnitude M and angle \(\theta\), the a vector V can be represented as follows:

\(V = M\sin{\theta}i + M\cos{\theta}j\)

In this problem, we have that the parameters are as follows:

\(M = 22, \theta = 45^\circ\)

Hence:

\(V = 22\sin{45^\circ}i + 22\cos{45^\circ}j\)

\(V = 22\frac{\sqrt{2}}{2}i + 22\frac{\sqrt{2}}{2}j\)

\(V = 11\sqrt{2}i + 11\sqrt{2}j\)

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The percent of interest is he paying is,

⇒ R = 4.62%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

Ted is making monthly payments of $77 on a loan of $4,000 for 5 years.

Hence, Yearly payments to pay is,

⇒ 12 × 77

⇒ $924

Hence, We get;

⇒ Interest = PRT/ 100

⇒ 924 = 4000 × R × 5 / 100

⇒ 92400 / 20,000 = R

⇒ R = 4.62%

Thus, The percent of interest is he paying is,

⇒ R = 4.62%

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