Use the Law of Cosines to solve the problem. You must solve for BC first. Solve this problem in order.

A ship travels due west for 94 miles. It then travels in a northwest direction for 119 miles and ends up 173 miles from its original position. To the nearest tenth of a degree, how many degrees north of west (x) did it

turn when it changed direction? Show your work.

Answer:WY=24 hope this helps

Step-by-step explanation:refer the attachment

remember that,

the diagonals of Parallelogram bisect each other so WA=AY

thus our equation is

move left hand side expression to right hand side and change its sign:

rewrite 2x and 4x-6x:

factor out x:

factor out -6:

group:

recall that,

When the product of factors equals 0 then at least one factor is 0 so

since the length cannot be negative negative x isn't available

therefore

since WA and AY are the part of WY we acquire:

substitute the got value of x:

simplify square:

simplify multiplication:

simplify addition:

simplify substraction:

Answer: WY = 24

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According to the information, the missing number from the box is number 40.

To find the missing number of the table we must take into account different elements. In particular we must look at the totals and the columns and rows in which the empty space is. Once we identify the totals we can subtract the other values from the total and find the missing number in the table.

According to the above we can infer that the missing number is 40.

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Answer:

89.44

Step-by-step explanation:

\(120^2-80^2=8000\)

\(\sqrt{8000} = 89.44\)

The roster method of the set A' = {14, 15, 20}

The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets.

A typical example of the roster method is to write the set of numbers from 1 to 5 as {1, 2, 3, 4, 5}.

Therefore,

U = universal sets = {14, 15, 16, 17, 18, 19, 20}

A = {16, 17, 18, 19}

Therefore, let's find A' as follows:

A' is the value not in A. Hence, in roster method.

A' = {14, 15, 20}

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Answer:

165

Step-by-step explanation:

5 + 30 + 80 + 50 = 165

Answer:

one dollar and sixty five cents

Step-by-step explanation:

pennies= one cent

nickels=  five cents

dimes= ten cents

quarters= twenty-five cents

simple adding or multiplying

when u add/multiply or use a calculator it says 165 if you add it up. 100 cents is one dollar, and then u have the 65 cents, so therefore 1.65 is the answer.

Answer:

Pater needs 90 ounces of clay to build an army.

Step-by-step explanation:

Given that:

2 Mega Monster are created from 7 ounces of clay

Unit rate = \(\frac{7}{2}\) = 3.5 ounces per Mega Monster

2 Mini Monsters are created from 3 ounces of clay

Unit rate = \(\frac{3}{2}\) = 1.5 ounces per Mini Monster

Total amount = Unit rate per Mega Monster * 15 + Unit rate per Mini Monster * 25

Total amount of clay = 3.5 * 15 + 1.5 * 25 = 52.5 + 37.5 = 90 ounces of clay

Hence,

Pater needs 90 ounces of clay to build an army.

Answer:

Area = 1

Step-by-step explanation:

I;ve attached my work below

Hope it helps, Let me know if you have any questions/concerns !

Have a nice rest of your day :)

Answer:

dvd cost 36 dollars

casette costs 10.5 dollars

Answer:

Step-by-step explanation:

0.9976 percent of the time, the automobile won't start immediately away.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range, while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

Given that,

X = number of morning car starts right away

X          0            1            2             3               4              5

p(x)  0.0024   0.0283   0.1323   0.3087    0.3601    0.1681

So now we are able to find the given probability

p(x ≥ 1) = 1 - p(0)

1 - 0.024 = 0.9976

Here we used complementary rule to find the answer

p(A') = 1 - p(A)

Therefore, the probability that the car does not start right away is 0.9976.

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Answer:

The null hypothesis is \(H_0: \mu = 99\)

The alternate hypothesis is \(H_a: \mu > 99\)

The test statistic is \(z = 0.31\)

The pvalue of the test is 0.3783 > 0.05, which meas that the results are not significant at the 5% level.

Step-by-step explanation:

It is believed that the average amount of money spent per U.S. household per week on food is about $99. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average.

At the null hypothesis, we test if the mean is the national average of 99, that is:

\(H_0: \mu = 99\)

At the alternate hypothesis, we test if the mean is greater than the national average of 99, so:

\(H_a: \mu > 99\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

99 is tested at the null hypothesis:

This means that \(\mu = 99\)

A random sample of 16 households in a certain affluent community yields a mean weekly food budget of $100. Standard deviation of $13.

This means that \(n = 16, X = 100, \sigma = 13\)

Value of the test statistic:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{100 - 99}{\frac{13}{\sqrt{16}}}\)

\(z = 0.31\)

The test statistic is \(z = 0.31\).

Determine if the results significant at the 5% level.

The pvalue of the test is the probability of finding a sample mean above 100, which is 1 subtracted by the pvalue of z = 0.31.

Looking at the ztable, z = 0.31 has a pvalue of 0.6217

1 - 0.6217 = 0.3783

The pvalue of the test is 0.3783 > 0.05, which meas that the results are not significant at the 5% level.

The zeros of the polynomial function are x = -1 and x = 5

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

y = x⁴ - 4x³ - 4x² - 4x - 5

To calculate the zeros of the polynomial function, we create a graph of the polynomial

The point where the graph intersect with the x-axis are the zeros of the polynomial function

using the above as a guide, we have the following:

Zeros: x = -1 and x = 5

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The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

Answer:

A

Step-by-step explanation:

Answer:

Anti-Federalism

From Wikipedia, the free encyclopedia

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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:

A = (1/4)√(4 + 11 + 14)√(-4 + 11 + 14)√(4 - 11 + 14)√(4 + 11 - 14)

A = (1/4)√29√21√7

= about 16.32 mm²

Answer:

  16.27 mm²  (see comment)

Step-by-step explanation:

You want the area of a triangle with side lengths 11 mm and 14 mm, and the angle between them 12.2°.

The area is given by the formula ...

  A = 1/2ab·sin(C)

  A = 1/2(11 mm)(14 mm)·sin(12.2°) ≈ 16.27 mm²

The area of the triangle is about 16.27 square millimeters.

__

Additional comment

If you use Heron's formula for the area from the three side lengths, you find it is about 16.32 mm². That's the trouble with over-specified geometrical figures. The result you get depends on which of the given values you use. (To get the area accurate to 4 sf, the angle needs to be specified to 4 sf: 12.24°.)

  s = (4 +11 +14)/2 = 14.5

  A = √(s(s -a)(s -b)(s -c))

  A = √(14.5(14.5 -4)(14.5 -11)(14.5 -14)) = √(14.5·10.5·3.5·0.5) = √266.4375

  A ≈ 16.32

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The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Using proportions, it is found that their total monthly payment is of $2,887.37.

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

For this problem, the payments are given as follows:

Hence:

2165.62 + 0.0833 x 6478.5 + 0.0833 x 2186 = $2,887.37

Their total monthly payment is of $2,887.37.

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Answer:

The number of positively-charged protons and non-charged (“neutral”) neutrons, gives mass to the atom, and the number of each in the nucleus of the atom determine the element.

Answer:

Slope is 6

Step-by-step explanation:

Answer:

75% is juice

Step-by-step explanation:

3/4 equals 75%

Answer:

75% of the drink is juice i did the calculations in my head.

Step-by-step explanation:

i Hope this helps you :)

The sum of the terms till infinity of the sequence 1, 1 / 4, 1 / 16, 1 / 64 will be 4 / 3.

We have the sequence:

1, 1 / 4, 1 / 16, 1 / 64. ​

Initial term = a

a = 1

Common ratio = d

d = 1 / 4

The formula for the sum of the terms to infinity is given by:

S_∞ = a / (1 – r)

S_∞ = ( 1 ) / (1 – 1 / 4)

S_∞ = 1 / ( 3 / 4 )

S_∞ = 4 / 3

Therefore, we get that, the sum of the terms till infinity of the sequence 1, 1 / 4, 1 / 16, 1 / 64 will be 4 / 3.

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Answer:

x=3

Step-by-step explanation:

Simplifying

9x + -4 = 3x + 14

Reorder the terms:

-4 + 9x = 3x + 14

Reorder the terms:

-4 + 9x = 14 + 3x

Solving

-4 + 9x = 14 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-4 + 9x + -3x = 14 + 3x + -3x

Combine like terms: 9x + -3x = 6x

-4 + 6x = 14 + 3x + -3x

Combine like terms: 3x + -3x = 0

-4 + 6x = 14 + 0

-4 + 6x = 14

Add '4' to each side of the equation.

-4 + 4 + 6x = 14 + 4

Combine like terms: -4 + 4 = 0

0 + 6x = 14 + 4

6x = 14 + 4

Combine like terms: 14 + 4 = 18

6x = 18

Divide each side by '6'.

x = 3

Simplifying

x = 3

Answer:

Explanation:

Write your equation

Subtract 9x from both sides

3x + 14 − 9x = 9x − 4 − 9x

−6x + 14 = −4

Subtract 14 from both sides

−6x + 14 − 14 = −4 − 14

−6x = −18

Divide both sides by -6

−6x / -6 = −18 / -6

[ zyxx ]

The compound inequality representing the range for the skull size of cats is: 39.32 ≤ x ≤ 43.01.

To find the compound inequality that represents the range for the skull size of cats, we need to solve the given compound inequality:

8 ≤ 1.03x - 32.4 ≤ 12

Let's solve it step by step:

Add 32.4 to all parts of the compound inequality:

8 + 32.4 ≤ 1.03x - 32.4 + 32.4 ≤ 12 + 32.4

40.4 ≤ 1.03x ≤ 44.4

Divide all parts of the compound inequality by 1.03 (the coefficient of x):

40.4/1.03 ≤ (1.03x)/1.03 ≤ 44.4/1.03

39.32 ≤ x ≤ 43.01

Therefore, the range for the skull size of cats can be represented by the compound inequality:

39.32 ≤ x ≤ 43.01

Rounded to the nearest hundredth, the compound inequality representing the range for the skull size of cats is:

39.32 ≤ x ≤ 43.01

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:):):):):):):):):):):):)):):):):):):):)

Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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