Name two other positive angles of rotation that take A to B. Explain your reasoning

\( \huge \pink{ \underline \mathfrak{ \green{Answer}}} \: \\ \\ \: \: \rightarrow \fbox{ a). \blue{ \: 54 \: }}\)

Step-by-step explanation:

\( \bf{Given} \: \colon 4w² + w-6, when \: \: w = -4 \\ \\ \tt \underline \red{Solution} \colon \\ \\ \rightarrow \: 4w {}^{2} + w \: - 6 \\ \\ \: put \: \: value \: \: of \: \: w \: \: in \: \: given \: \: equation \\ \\ \rightarrow \: 4( - 4) {}^{2} + \: (- 4 )\: - 6 \\ \\ \rightarrow \: 4(16) \: - 4 \: - 6 \\ \\ \rightarrow \: 64 \: - 10 \\ \\ \bf \rightarrow54\)

Answer:

2x

Step-by-step explanation:

The equation would be x+2x+2x=5x.

You can rewrite the equation as 1x+2x+2x=5x because that is the same thing.

Then you combine all of the like terms, and because they all have an x you just add them together.

Hope this helps!

Answer:

0.625 = 62.5% probability that part B works for one year, given that part A works for one year.

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

The probability that part A works for one year is 0.8 and the probability that part B works for one year is 0.6.

This means that \(P(A) = 0.8, P(B) = 0.6\)

The probability that at least one part works for one year is 0.9.

This means that: \(P(A \cup B) = 0.9\)

We also have that:

\(P(A \cup B) = P(A) + P(B) - P(A \cap B)\)

So

\(0.9 = 0.8+0.6 - P(A \cap B)\)

\(P(A \cap B) = 0.5\)

Calculate the probability that part B works for one year, given that part A works for one year.

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5}{0.8} = 0.625\)

0.625 = 62.5% probability that part B works for one year, given that part A works for one year.

Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

Based ob the information, we have sufficient evidence in the favor of the claim that there is significance difference

Since the P-value is less than the significance level , we have to reject the null hypothesis.

From the above test we have sufficient evidence in the favor of the claim that there is significance difference

Also, the means for sentences and intentional differ significantly, because the p-value is less than alpha and zero is outside the confidence interval.

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Answer:

W =1 1/4Step-by-step explanation: Let W = what. W - 1/2 = 3/4. Add 1/2 to each side. W -1/2 +1/2 = 3/4+1/2. W = 3/4+1/2.

Step-by-step explanation:

Solution

- The question would like us to determine the difference expression that corresponds to the following logarithm

- In order to solve this question, we should apply the Law of Logarithm which states that:

- Applying this law, we have:

Final Answer

The answer to the question is

Answer:

41

Step-by-step explanation:

simplify the left side:
\(9x - 9 = 360\\9x = 369\\x = 41\)

Answer:

\(x=41\)

Step-by-step explanation:

1. Simplify the expression

\(x-3+2x-1+3x-2+2x-3+x=360\)

Group like terms:

\(\left(x+2x+3x+2x+x\right)+\left(-3-1-2-3\right)=360\)

Simplify the arithmetic:

\(9x+\left(-3-1-2-3\right)=360\)

Simplify the arithmetic:

\(9x-9=360\)

2. Group all constants on the right side of the equation

\(9x-9=360\)

Add 9 to both sides:

\(9x-9+9=360+9\)

Simplify the arithmetic:

\(9x=360+9\)

Simplify the arithmetic:

\(9x=369\)

3. Isolate the x

\(9x=369\)

Divide both sides by 9:

\(\frac{9x}{9}=\frac{369}{9}\)

Simplify the fraction:

\(x=\frac{369}{9}\)

Find the greatest common factor of the numerator and denominator:

\(x=\frac{41\cdot 9}{1\cdot 9}\)

Factor out and cancel the greatest common factor:

\(x=41\)

Terms and topics

Cheers,

ROR

Answer:

80

Step-by-step explanation:

5(1+3)^2

Due to PENDAS, you will first need to do the root

5(4)^2

5(16)

80

Hope it helped!

Answer:

Step-by-step explanation:

Answer:

52.62

Step-by-step explanation:

u can fins the area by base times height/2 . you can find the height by 14sin70 which is 13.16

then use 13.16 x 8 / 2 = 52.62

Answer:

Step-by-step explanation:

Step 1:First Make 3/4 and 5/6 into like fractions.Find the L.C.M of 4 and  

            6,which is 12.

            3*3/4*3=9/12

             5*2/6*2=10/12

Step 2:Subtract 9/12 from 10/12,which is 1/12.

Answer:

Step-by-step explanation:

One sentence on globalization from the text: The process of globalization has brought significant changes to the world economy, including the emergence of new trade patterns and the increasing interconnectedness of markets.

One sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers: In the absence of plantation owners, overseers were left with unchecked power over the enslaved population, often resulting in brutal treatment and violence

Answer:

Step-by-step explanation:

a) 1.8 kg in grams is 1800 g

b) If 6 toys weigh 1800g; then 1 toy weighs 300 g(6:1)

c) If 1 toy weighs 300 g, 4 toys weigh 1200 g and you convert in kg which is 1.2 kg

The simplified form of the expression is \(-32\).

To simplify the expression, we can perform the calculations written below step by step:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)

We follow the order of operations (PEMDAS/BODMAS):

Step 1: Simplify within parentheses:

\(\(4+6 = 10\)\).

Step 2: Perform multiplications and divisions from left to right:

\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).

Step 3: Evaluate the remaining additions and subtractions:

\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).

Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)

When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.

Finally, review the simplified expression to ensure accuracy and validity within the given context.

Note: The complete question is:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.

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The line of reflection is the vertical line that passes through the midpoint of the distance between A and A', which is the line x = -4.

To determine the line of reflection, we need to observe the relationship between the original polygon ABCDE and the image polygon A'B'C'D'E'. We can see that A' is located 2 units to the left of A, while B' is also located 2 units to the left of B. Similarly, C' is located 8 units to the left of C, D' is located 8 units to the left of D, and E' is located 6 units to the left of E.

Based on this information, we can conclude that the line of reflection is the vertical line that passes through the midpoint of the distance between A and A', which is the line x = -4. This is because the image of a point reflected across a vertical line is the same distance to the left or right of the line as the original point. Therefore, we can reflect polygon ABCDE across the line x = -4 to obtain polygon A'B'C'D'E'.

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The probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes is only 0.02%.

P(X <= 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

P(X = k) = (100 choose k) * 0.078^k * (1 - 0.078)^(100-k)

P(X <= 4) = (100 choose 0) * 0.078^0 * (1 - 0.078)^(100-0) + (100 choose 1) * 0.078^1 * (1 - 0.078)^(100-1) + (100 choose 2) * 0.078^2 * (1 - 0.078)^(100-2) + (100 choose 3) * 0.078^3 * (1 - 0.078)^(100-3) + (100 choose 4) * 0.078^4 * (1 - 0.078)^(100-4)

Using a calculator or software, we can find that:

P(X <= 4) = 0.000203

This means that the probability is 0.02%.

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Charges for TV advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is the percentage of population of 110 million TV households.The CBS television show 60 minutes recently had a rating of 7.8, indicating that 7.8% of the household were tuned to that show.An advertiser conducts an independent survey of 100 households and finds that only 4 were tuned to 60 minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes.Does the result suggest that the rating of 7.8 is too high?

The last expression finally simplifies to cot β + tan α using quotient identity in trigonometric identities.

We want to verify the trigonometric  identity;

cos (α - β)/(cos α sin β) = cot β + tan α

Now, according to trigonometric identities in mathematics, we know that;

cos (α - β) = (cos α cos β) + (sin α sin β)

Thus, plugging that back into our left hand side of the main question gives;

[(cos α cos β) + (sin α sin β)]/(cos α sin β)

Rewriting this expression by separating the denominator gives;

[(cos α cos β)/(cos α sin β)] + [(sin α sin β)]/(cos α sin β)

Using quotient identities, this can be simplified to;

cot β + tan α

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Answer:

2.5% change when rounded to the nearest tenth

Step-by-step explanation:

The Formula for measuring change over time:

P=N−O/O⋅100

P is the percent change

N is the New Value - 20.6 for this problem

O is the Old Value = 20.1 for this problem

First subtract the new value from the old value (you should get 0.5)

Then, divide that number by the old value (you chould get a really long decimal)

Then, multiply that number by 100 (You should get a number like 2.48756 etc.)

Lastly, round it up to the nearest tenth (2.5)

Answer:

\(\dfrac{5^6}{5^2}\) = \(5{\cdot}5{\cdot}5{\cdot}5\)

Step-by-step explanation:

The given expression is :

\(\dfrac{5^6}{5^2}\)

We need to find this expression is equal to what.

\(\dfrac{5^6}{5^2}=\dfrac{5^4\times 5^2}{5^2}\\\\=5^4\\\\=5\times 5\times 5\times 5\\\\\text{or}\\\\=5{\cdot}5{\cdot}5{\cdot}5\)

Hence, \(\dfrac{5^6}{5^2}\) is equal to \(5{\cdot}5{\cdot}5{\cdot}5\). Hence, the correct option is (c).

I would recommend that you choose the queen's offer. It is a safer bet, and it will provide you with a guaranteed amount of rice to feed your family.

The king's offer is a very generous one, and it would provide you with a lifetime supply of rice. However, it is also a very risky one. The total number of grains of rice on the 64th square is a very large number. In fact, it is so large that it is difficult to even imagine. If the king were to fulfill his promise, it would bankrupt the kingdom.

The queen's offer is much more practical. She is offering you a guaranteed amount of rice, which you can use to feed your family. While it may not be as much rice as the king is offering, it is a much safer bet.

If you are looking for a more stable option, then the queen's offer is the better choice.

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So the different number has a 4 with a value of 40.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this problem, we need to first identify the place value of the digit 4 in the given number.

The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.

According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:

400/10 = 40

To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.

Therefore, So the different number has a 4 with a value of 40.

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The function is odd, and the graph would be shifted downward. option(2)

The statement "f(x) - 4" represents a transformation applied to the original function f(x). This transformation involves subtracting 4 from the values of the function f(x) for all x. In other words, it shifts the entire graph of f(x) downward by 4 units along the y-axis.

Specifically, each y-value of the original function f(x) is reduced by 4. For example, if the original function had a point (x, y), the transformed function f(x) - 4 would have the corresponding point (x, y - 4). This means that every point on the graph is shifted downward by 4 units.

This transformation affects the overall shape, position, and properties of the function. The new graph will have the same general shape as the original, but it will be translated downward. If there were any intercepts or turning points in the original function, they will also be shifted downward by 4 units.

The statement "f(x) - 4" represents a transformation applied to the original function f(x). This transformation involves subtracting 4 from the values of the function f(x) for all x. In other words, it shifts the entire graph of f(x) downward by 4 units along the y-axis.

Specifically, each y-value of the original function f(x) is reduced by 4. For example, if the original function had a point (x, y), the transformed function f(x) - 4 would have the corresponding point (x, y - 4). This means that every point on the graph is shifted downward by 4 units.

This transformation affects the overall shape, position, and properties of the function. The new graph will have the same general shape as the original, but it will be translated downward. If there were any intercepts or turning points in the original function, they will also be shifted downward by 4 units. Option(2)

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The matrix representing the profit from the sales of book A for each store is:

[  $4  ]

[  $4  ]

[  $4  ]

To represent the profit from the sales of book A for each store, we can use a matrix where the rows correspond to the stores (X, Y, Z) and the columns correspond to the book A.

The matrix representing the profit from the sales of book A for each store is as follows:

Store Book A

X $4

Y $4

Z $4

Therefore, the matrix representing the profit from the sales of book A for each store is:

[  $4  ]

[  $4  ]

[  $4  ]

Each element in the matrix represents the profit from the sales of book A in a specific store, which is $4 for all stores (X, Y, Z).

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Answer:

x = 26

Step-by-step explanation:

the correct option is D:

" The inverse relation must pass the vertical line test."

Remember that a relation is only a function if each value in the domain is only mapped into a single value in the range.

All functions need to pass what is called the "vertical line test" this means that if you draw a vertical line on the graph of the function, the vertical line can intersect the graph at most one time. If the vertical line intercepts the graph two or more times, then it is not a function.

From this we conclude that the correct option is D:

" The inverse relation must pass the vertical line test."

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Answer:

y=3x+4

Step-by-step explanation:

4 is your y-intercept, and 3 is your slope.

The linear function shows the total cost will be y = 3x + 4.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

A taxi ride costs $4 plus an additional $3 per mile.

Let's say the number of miles is represented as x while the total cost is represented as y.

y = 3x + 4

Hence "The linear function shows the total cost will be y = 3x + 4".

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