Which pair of expressions below are equivalent?

Answer:

Step-by-step explanation:

WY  is the diameter.

WX and XY sum to 180° as half the circle.

Central angle is equal to intercepted arc:

Correct choice is C

Answer:

option C.93° is your answer

Step-by-step explanation:

<WVX+87°=180 linear pair

arc WX=180-87=93°

Colin has lived by the biblical ideal of avoiding debt, purchasing the lowest item, repaying a loan, and being financially honest.

With an auto loan, you may borrow money from a bank and use it to purchase a vehicle. The loan must be repaid with interest over a defined period of time in fixed instalments from you.

Lenders will aim for a credit score of at least 750 when you apply for a vehicle loan.

The additional costs won't dramatically raise the price of the automobile because of the low interest rate. The periodic payments won't put undue strain on your current or next finances.

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Answer:

60

Step-by-step explanation:

Answer:

The area of the triangle is 60 unit²

Step-by-step explanation:

We know that the area of a triangle is :

\(A= \frac{1}{2}(Base \times Height)\)

Since Base = 12 unit and Height = 10 unit

So

\(A= \frac{1}{2}(12\times 10)=60\\\)

Hence the area of this triangle is = 60 unit²

Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

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Answer:

Life Path

Step-by-step explanation:

It's two words, and they are both of equal length. I hope that helps.

Answer:

free points thx

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

Hope this helps and have a nice day :)

Calcium (Ca) can form a Ca2+ cation by losing its two valence electrons.

Elements in group 2A (2) of the periodic table form ions with a charge of 2+. Therefore, the correct answer is c. 2+.

Group 2A elements, also known as alkaline earth metals, have two valence electrons in their outermost shell, which they tend to lose in chemical reactions to form cations with a charge of 2+. For example, magnesium (Mg) can form a Mg2+ cation by losing its two valence electrons. Similarly, calcium (Ca) can form a Ca2+ cation by losing its two valence electrons.

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Answer:

$2.25

Step-by-step explanation:

73.80/32.8

\(Answer:\\\)

\(368\)

\(Step\: by\: step \:explanation:\\\)

\(12a^2-3ab+2b ; \\ \: if \: a=-5 \: and \: b=4

\\ 12a^2-3ab+2b = 12( - 5)^2-3( - 5)(4))+2(4) \\ 12a^2-3ab+2b = 300 + 60 + 8 \\ 12a^2-3ab+2b = 368\)

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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Answer:

Step-by-step explanation:

how much taller is a stack of 3 nickels than 1 nickel

1 nickel is 1.95mm high, 3 nickel is 3 x 1.95 = 5.85mm high,

make a difference and find out how much higher is a stack of 3 nickels than 1 nickel.

5.85 - 1.95 = 3.9mm

Answer:

2,832 hats are sold per year.

Step-by-step explanation:

We are given the information of 236 hats per month. Since there are twelve months in the year, we must multiply 236 by 12, which gives us our yearly total of 2,832. :) Please mark Brainliest.

Answer:

5 7/24

Step-by-step explanation:

Convert to improper: 49/6-23/8=254/48 which is 5 7/24

Hope this helps plz mark brainliest :D

Answer:

5  7/24≈5.292

Step-by-step explanation:

Subtract

8  1/6 -2 and 7 over 82=127 over 2

Convert mixed number to improper fraction

8 1/6= 8x6/6+ 1/6=16+7/8=23/8

Convert mixed number to improper fraction

2 7/8= 2x8/8+7/8=16+7/8=23/8

Find common denominator

49/6-69/24=196-69/24=127/24

24 is the least common multiple of denominators 6 and 8. Use it to convert to equivalent fractions with this common denominator.

Subtract

196/24- 69/24= 196-69/24=127/24

Simplify

127/24= 5 7/24

Let the two expressions are 6a + 12b - 15c and -2a + 2b + 8c. First, subtract the second expression from the first:

Now, subtract them in the reverse order, subtract the first from the second:

The second result is the negative of the first result.

Now, if the results are added then we get the answer zero.

Thus, we can say that when the expressions are subtracted in the opposite order, the results are negative of each other and when the results are added, we get zero as the answer.

The rationale that supports this statement is:

​Situational experiences are interpreted differently.

Now, According to the question:

Let's Know:

What is the Rationale of the Study?

The rationale of the study explains the reason why the study was conducted (in an article or thesis) or why the study should be conducted (in a proposal). This means the study rationale should explain to the reader or examiner why the study is/was necessary.

We know that :

There are different levels and combinations of concerns among individual students.

Hence, The rationale that supports this statement is:

​Situational experiences are interpreted differently.

In the question;

There are different levels and combinations of concerns among individual students.

what is the rationale that supports this statement?

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Answer:

My answer was: y=0.5x+16.5

Step-by-step explanation:

you can use point-slope form

y-y1=m(x-x1)+b

y-12=0.5(x-(-9))+3  

y-12=0.5(x+9)+3

y=0.5x+4.5+3+12

y=0.5x+19.5

Hope it helped or right

The speed of the river is 3 miles per hour. Elena has a boat that would go 9 miles per hour in still water.

To solve this problem, let's use the concept of relative velocity.

Let's assume the distance Elena travels downstream is D miles. Since her boat's speed in still water is 9 miles per hour, and she takes 2 hours to travel downstream, we can write the equation:

D = (9 + r) * 2

Similarly, when Elena travels upstream for the same distance D, it takes her 4 hours. Using the same equation, we can write:

D = (9 - r) * 4

Now we have two equations with two variables (D and r). We can solve this system of equations to find the values.

From the first equation:

D = (9 + r) * 2

D = 18 + 2r

From the second equation:

D = (9 - r) * 4

D = 36 - 4r

Since both equations are equal to D, we can set them equal to each other:

18 + 2r = 36 - 4r

Let's solve this equation for r:

6r = 18

r = 3

Therefore, the speed of the river is 3 miles per hour.

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Answer:

71

Step-by-step explanation:

(2x² = 2 × 5² = 2 × 25) + ([4x = 4 × 5 = 20] + 1)

(50) + (21) = 71

The solution of the system of equations f(x) = 2^x + 1 and g(x) = 3^x is x = 1

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

f(x) = 2^x + 1

g(x) = 3^x

The above expression is a system of exponential equations

We are required to solve by graph

That implies that we graph the equations in the system on the same plane and write out ordered pairs from the point of intersection of the equations in the system

Next, we plot the graph

See attachment for the graph of the equations

The ordered pairs of the intersection point is (1, 3)

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Lets solve each option:

9/x - 1 = 4

9 / x = 3

x = 27

Nope!

3x + 1 = 9

3x = 8

x = 8/3

Nope!

2x + 4 = 10

2x = 6

x = 3

Yes!

x/3 + 5 = 6

x/3 = 1

x = 3

Yes!

9 - 3x = 0

-3x = -9

x = 3

Yes!

5x - 7 = 1

5x = 8

x = 8/5

Nope!

This means that the correct answers are:

2x + 4 = 10

x/3 + 5 = 6

9 - 3x = 0

I hope this helps! :)

Answer:

X= -12

Step-by-step explanation:

So just combine like terms and isolate the variable

5x+2=6x+14

2=x+14

-12=x

So x is negative twelve

Answer:

x = -12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

7x - 2x + 2 = 6x + 14

Step 2: Solve for x

The woodworker should make atmost 4 rocking kitchen chair and 3 simple kitchen chair to maximize the profit under given conditions of 192 woodworking hours and 21 painting hours.

Profit maximization is a process that businesses go through to make sure the best levels of output and prices are realized in order to maximize their returns. The company modifies important variables like sale price, production costs, and output levels in order to achieve its profit objectives.

inequality, A mathematical statement expressing an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to etc.

Given,

Time needed to woodwork a rocking kitchen chair= 30 hours

Time needed to paint a rocking kitchen chair=3 hours

Time needed to woodwork a simple kitchen chair= 24 hours

Time needed to paint a simple kitchen chair=3 hours

Maximum time given by worker= 192 hours for woodwork and 21 hours to paint

Let x and y be the maximum number of chairs created by woodworker of both the types.

so the system of inequality would be,

30x+24y<192      ......(1)

3x+3y<21             ......(2)

To find x and y,

multiply the (2) by 10

30x+30y<210

subtract (1) from (2)

30x+24y-(30x+30y)<192-210

-6y<-18

y<3

3x+3y<21

3x+3*3<21

3x<12

x<4

By this, he can make maximum 4 rocking and 3 simple kitchen chair to earn the maximum profit.

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Therefore , the solution of the given problem of probability comes out to be  a) P(X=5) = 0.2465 , (b) P(X>=6) = 0.3204 and (c) P(X<4) = 0.2448.

The main objective of an procedure's criteria-based approaches is to estimate the likelihood that a claim is accurate or that a particular event will take place. Any number between 0 and 1, where 0 commonly denotes the possibility of something occurring and 1 typically denotes a degree of trust, can be utilized to symbolize chance. A probability illustration shows the likelihood that a particular occurrence will occur.

Here,

P(X=k) is equal to (n choose k) * p*k*1-p.(n-k)

We need to determine the following when n = 10 and p = 0.51 (the probability of having very little trust in newspapers):

(a) P(X=5)

(b) X>equals6 = X=6 + X=7 +... + X=10

(c) The equation P(X4) equals P(X=0), P(X=1), P(X=2), and P(X=3)

Using the equation:

(a) P(X=5) = (10 choose 5) * 0.51⁵ * 0.49⁵ = 0.2465

(b) The equation P(X>=6) = P(X=6) + P(X=7) +... + P(X=10) = (10 choose 6) * 0.51⁶ * 0.49⁴

+ (10 choose 7) * 0.51⁷* 0.49^3

+ (10 choose 8) * 0.51⁸ * 0.49^2

+ (10 choose 9) * 0.51⁹ * 0.49^1

+ (10 choose 10) * 0.51¹⁰ * 0.49^0

= 0.3204

(c) If P(X4) = P(X=0), P(X=1), P(X=2), and P(X=3), then (10 choose 0) * 0.51^0 * 0.49^10

+ (10 choose 1) * 0.51¹* 0.49^9

+ (10 choose 2) * 0.51² * 0.49^8

+ (10 choose 3) * 0.51³ * 0.49^7

= 0.2448

The odds are as follows: a) P(X=5) = 0.2465

(b) P(X>=6) = 0.3204

(c) P(X<4) = 0.2448

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y=f(x³y-3),(y-2)

Step-by-step explanation:

(x,y)>(x-2+y3)

(x,y)(x+3,y-3) or (x+y)

hope it's help

1. Chicken became the key product that drove the creation of the Interstate Highway System, which led to the dominance of American trucks in the US truck market.

2. A party may want to impose a tariff to protect domestic industries from foreign competition or to generate revenue for the government.

3. A party is usually trying to protect domestic industries, but a tariff on automobiles would hurt both domestic consumers who would pay higher prices and foreign producers who would face reduced demand.

4. Competition encourages innovation by providing incentives for companies to improve their products and services to stay ahead of their rivals; American trucks stayed the same because they faced little competition due to protectionist policies.

5. Foreign companies tried to get around American-imposed tariffs on automobiles by establishing factories in the US, forming joint ventures with American companies, or exporting through third countries.

6. The methods used to get around tariffs can be efficient in the short term, but they may not be sustainable or desirable in the long term as they can lead to trade imbalances and undermine the competitiveness of domestic industries.

7. Tariffs can be used as a bargaining chip to negotiate better trade deals, but they should be imposed judiciously and only as a last resort to avoid damaging the economy and harming consumers.

1. In the podcast, chicken is cited as the reason why American trucks dominate the truck market in the United States.

This is because in the 1960s, the government imposed regulations on the trucking industry that limited the amount of weight a truck could carry.

To get around these regulations, the industry started using smaller trucks to transport goods, which were often not strong enough to handle the weight.

However, they found that if they put chicken on the back of the trucks, the weight of the cargo would distribute more evenly and the smaller trucks could handle the load.

This led to the development of the modern pickup truck, which is now a staple of the American automobile market.

2. Parties may want to impose tariffs for various reasons, such as to protect domestic industries and jobs from foreign competition, to raise revenue for the government, or to level the playing field in international trade.

Two specific reasons for imposing tariffs could be to protect national security interests or to address unfair trade practices by other countries.

3. Tariffs are usually imposed to protect domestic industries and jobs, and the parties that are being protected are typically the producers of the goods or services in question.

However, tariffs can also harm consumers who may have to pay higher prices for imported goods or may have fewer choices in the marketplace. For example, if a tariff is imposed on automobiles, domestic car manufacturers may benefit, but consumers may have to pay more for cars, and foreign automakers may lose market share.

4. Competition encourages innovation by creating incentives for companies to improve their products or services to gain a competitive advantage.

In the case of American trucks, the lack of competition may have contributed to their lack of innovation over the years. Since they dominated the market, there was little pressure to improve or innovate, and as a result, they have largely stayed the same.

However, the rise of foreign competition in recent years has led American truck manufacturers to invest more in innovation to stay competitive.

5. Foreign companies have tried to get around American-imposed tariffs on automobiles in various ways, such as by moving production to countries not subject to the tariffs, by exporting parts and assembling them in the United States, or by lobbying the government for exemptions or tariff reductions.

6. The methods used by foreign companies to get around tariffs may not be efficient for the economy as a whole because they can lead to higher costs and inefficiencies in the supply chain.

However, they may be necessary for individual companies to remain competitive in the short term.

Ultimately, a more efficient solution would be to address the root causes of the trade imbalances that lead to tariffs in the first place.

7. A tariff can be used as a bargaining chip by threatening to impose tariffs on imports from a country unless they make concessions in trade negotiations.

While this can be an effective strategy in certain situations, it can also lead to a trade war and harm both economies.

In general, tariffs should be used sparingly and as a last resort, and efforts should be made to address underlying trade issues through diplomacy and negotiation.

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Answer:

36 years

Step-by-step explanation:

Let

x = Elga's age

Alvin's age = x + 7

Sum of their ages = 79

Sum of their ages = Alvin's age + Elga's age

79 = (x + 7) + x

79 = x + 7 + x

79 = 2x + 7

79 - 7 = 2x

72 = 2x

x = 72/2

x = 36

Elga's age = x = 36 years

Alvin's age = x + 7

= 36 + 7

= 43 years

Answer:

terms: 3x,+90y,-70

coefficient:3,-90,-70

Answer:

Step-by-step explanation:

20/12 = 1 2/3

30 ÷ 1 2/3

= $18