What is sin 23°?
Helpppp!

The slope of the line passing through the two points \((1,2)\) and \((3,8)\) is \(\frac{3}{1}\) i.e. \(3\)

The formula for finding the slope when two points are given

\(y=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\y=\frac{8-2}{3-1} \\y=\frac{6}{2} \\y=\frac{3}{1}\\y=3\)

The slope of the line is \(3\)

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Answer:

Population in 15 year= 475

Step-by-step explanation:

.035x459=16

16+459=475 estimate

Answer:

  x = 63°

Step-by-step explanation:

~ They are adjacent angles because they have a common (one) vertex.

~ To find the value of x we must make an equation.

Angles on a straight line add up to 180°.

  117 + x = 180

  x = 180 - 117

  x = 63°

Answer:

63

Step-by-step explanation:

63 is the answer

Answer:

41

Step-by-step explanation:

A pair of consecutive numbers is written as: N and N + 1

(where the larger page number is N + 1)

And we know that the product of these numbers is 1640.

Then:

(N)*(N + 1) = 1640

Solving for N, we get:

N^2 + N = 1640

N^2 + N - 1640 = 0

This is a quadratic equation, remember that for a general quadratic equation:

a*x^2 + b*x + c = 0

The solutions are:

\(x = \frac{-b\pm \sqrt{b^2 - 4*a*c} }{2*a}\)

In our case, the solutions are:

\(N = \frac{-1 \pm \sqrt{(1)^2 - 4*1*(-1640)} }{2} = \frac{1 \pm 81}{2}\)

Then the two solutions are:

N = (-1 + 81)/2 = 40

N = (-1 - 81)/2 = -41

Because N represents the number on a page, it only can be a positive value, then we take the positive solution.

Then the two consecutive numbers, N and N + 1

are:

N = 40

N + 1 = 41

The value of the larger page number is 41.

Answer:

75%

Step-by-step explanation:

1. Import Duty (DD) rate: The DD rate for Stout is 40% of the invoice cost/FOB. So, the import duty payable is 40% of $15,500.00, which is $6,200.00 USD.

2. Additional Stamp Duty (ASD) rate: The ASD rate is 34% of the invoice cost/FOB. Therefore, the additional stamp duty payable is 34% of $15,500.00, which amounts to $5,270.00 USD.

3. Special Consumption Tax Specific (SCTS): The SCTS is charged based on the pure alcohol content of the total volume. As each crate contains 48 bottles of 200 milliliters, the total volume of stout is 800 crates * 48 bottles * 200 milliliters = 7,680,000 milliliters. Since the SCTS is $1,230.00 JMD per pure alcohol of the total volume, we need to convert it to USD. Using the exchange ratio of 1USD:155/MD, the SCTS payable in USD is $1,230.00 JMD / 155/MD = $7.94 USD. Therefore, the total SCTS payable is $7.94 USD * 7,680,000 milliliters / 1,000,000 milliliters = $61.07 USD.

4. Customs Administration Fee (CAF): The CAF is a fixed fee of $25,000.00 MD. Converting it to USD using the exchange rate, we get $25,000.00 MD * 1USD / 155/MD = $161.29 USD.

5. General Consumption Tax (GCT): The GCT rate is either 15% or 20% depending on the purpose of importation. Since the purpose is not specified, let's assume it is 15% of the total value. The total value includes the invoice cost/FOB ($15,500.00 USD), the import duty ($6,200.00 USD), the additional stamp duty ($5,270.00 USD), the SCTS ($61.07 USD), and the CAF ($161.29 USD). Therefore, the GCT payable is 15% of ($15,500.00 + $6,200.00 + $5,270.00 + $61.07 + $161.29) = $4,312.09 USD.

6. Standard Compliance Fee (SCF): The SCF rate is 0.3% of the total value. Calculating the SCF payable, we get 0.3% of ($15,500.00 + $6,200.00 + $5,270.00 + $61.07 + $161.29 + $4,312.09) = $51.65 USD.

7. Environmental Levy (ENVU): The ENVU rate is 0.5% of the total value. Hence, the ENVU payable is 0.5% of ($15,500.00 + $6,200.00 + $5,270.00 + $61.07 + $161.29 + $4,312.09 + $51.65) = $53.53 USD.

Adding up all the duties and taxes payable, the total sum payable by RDB for this shipment is $15,500.00 + $6,200.00 + $5,270.00 + $61.07 + $161.29 + $4,312

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The expression for the area of the photograph is

x²-14x+36.

The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.

The area of the photograph is expressed as ;

A = l×b

the length of the photograph = x-(4+4) = x-8

and the breadth of the photograph = x-(3+3) = x-6

therefore the area = (x-8)(x-6)

= x( x-6) -8( x-6)

= x²-6x-8x +36

= x²-14x+36

therefore the expression that shows the area of the photograph is x²-14x+36.

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The sum of a+b+c = 307.

According to the statement

\($\sqrt[3]{\sqrt[3]{54}+\sqrt[3]{250}}$\) is written as \($a\sqrt[b]{c}$\)

now we find the sum of these

in these terms a=54 and b=3 and c=250

Then

a+b+c = 54+3+250

a+b+c = 307

So, The sum of a+b+c = 307.

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Water vapor is an important component of the Earth's atmosphere, and it plays a crucial role in regulating the climate. water vapor makes up about 0-4% of the Earth's atmosphere by volume . So the correct option is A.

It is a greenhouse gas, which means that it can trap heat in the atmosphere and contribute to global warming. The amount of water vapor in the atmosphere can vary depending on location, temperature, and weather conditions. On average, water vapor makes up about 0-4% of the Earth's atmosphere by volume. This may seem like a small amount, but it has a significant impact on weather patterns and climate. As temperatures rise due to climate change, the amount of water vapor in the atmosphere is expected to increase, which could have further impacts on global climate.

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The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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Answer: what is the question

Step-by-step explanation:

Answer:

1. 3/10

2. 19/12

3. 35/36

4. 1/3

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Our students selected 50 residences at random. We discovered that owners live in 26 homes. By the way, we might use this to calculate our sample proportion. The result will be 26 out of 50 and.52. We're going to do an experiment to see if the proportion of owner-occupied homes in your neighbourhood is different from the national average using hypotheses.

The test result will be the null hypothesis. The true percentage being 69 is the null hypothesis. A distinct theory serves as the alternative. According to the inquiry, we are attempting to ascertain whether the community differs from the country. I will admit that 0.69 is not the true proportion. The test statistic must be located. Since this is an example Z test, we are able to use the calculator function in the tests. Sure, window. If we went to the tests and clicked the stat, we would find the single proportion Z. It's a test, really. The Christmas portion cost 69. We have 26 successes out of 50 samples. Since the genuine percentage is different from.69 in our alternative, proportion does not equal no proportion. Our final result will be a negative Z score of 2.599. We receive a p value of 9 from the window. We'll decide on a conclusion. We will contrast our significance level with the p value. It does not provide a relevance level for this issue. We'll only apply 5%. So, we would reject the null hypothesis if our p value is lower than the significance level, correct? Obtaining the sample proportion is necessary. If the null hypothesis is correct, it's a very uncommon occurrence, and we have evidence that the proportion of owner-occupied homes in our community is higher than the national average.

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Explanation:

The rule to use here is log(x)-log(y) = log(x/y)

So,

log(6)-log(3) = log(6/3) = log(2)

Answer:

log(2)

Step-by-step explanation:

As we have,

log(a)−log(b)=log(a/b)

Replace 'a' as 6 and 'b' as 3.

Then we get,

\(\hookrightarrow log(6)-log(3)\\\\\hookrightarrow log(\frac{6}{3} )\\\\\hookrightarrow log(2)\)

The polynomial function P(x) is of degree 4, with P(0) = 1 and zeros at 1 (multiplicity 2) and 2 (multiplicity 2).

Let's construct the polynomial function P(x) based on the given information. Since the zeros are at 1 and 2, we know that (x - 1) and (x - 2) are factors of P(x). Furthermore, since 1 has multiplicity 2, we include an extra factor of (x - 1). Similarly, since 2 has multiplicity 2, we include an extra factor of (x - 2). Thus, the polynomial can be expressed as P(x) = A\((x-1)^{2} (x-2)^{2}\), where A is a constant.

To find the value of A, we use the fact that P(0) = 1. Plugging in x = 0 into the polynomial equation, we get:

1 = A\((0-1)^{2} (0-2)^{2}\)

1 = 4A

Solving for A, we find A = 1/4. Therefore, the polynomial function P(x) is given by:

P(x) = (1/4)\((x-1)^{2} (x-2)^{2}\)

This polynomial function is of degree 4 and satisfies the conditions P(0) = 1 and zeros at 1 (multiplicity 2) and 2 (multiplicity 2).

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The complete question is:

The polynomial of degree 4, P(x) has a root multiplicity 2 at x=4 and roots multiplicity 1 at x=0 and x=-4 and it goes through the point (5, 18) how do you find a formula for p(x)?

Answer:

I believe it H.

Step-by-step explanation:

I don't know if I am right but it's your choice to choose it.

Answer:

Graph F best represents the function.

The correct graph F is also attached below.

Step-by-step explanation:

Given the function

f(x) = 2(5)ˣ

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

so substituting x = 0 in the function

y = 2(5)ˣ

y = 2(5)⁰

y = 2(1)      ∵ (5)⁰ = 1

y = 2

Thus, the y-intercept is (0, 2)

Let us check another point

now substitute x = 1

y = 2(5)ˣ

y = 2(5)¹

y = 10

Thus, the value of y = 10 at x = 1

So, we have to two points:

Now, if we carefully observe, we can easily figure out that the graph F represents the function f(x) = 2(5)ˣ.

Because the graph F has a y-intercept (0, 2) and also the point (1, 10) is validating the graph.

Therefore, graph F best represents the function.

The correct graph F is also attached below.

The largest binary code is on 4 bits, the maximum possible number is binary 1111 or 15. And the maximum decimal number that can be represented with 1 byte is 255 or 11111111.

Binary code:

In math, binary code refers a coding system using the binary digits 0 and 1 to represent a letter, digit, or other character in a computer or other electronic device.

Given,

Here we need to find the largest binary code.

Here we know that, for each digit d in a binary number, starting from the rightmost digit, the value in decimal corresponding to this digit is written as,

=> d2ⁿ + d*2ⁿ⁻¹ .... 0, where n is its position.

For, example would be converting 11001:

Here we start from the right

=> 1*2⁰ + 0*2¹ + 0*2² + 1*2³ + 1*2⁴ = 25.

Therefore, if we have 8 bits, the largest number would be 11111111, That has the value of 255, which is the same result as the conversion above (1+2+4+8+16+32+64+128).

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The vector  is parallel to the plane the vector <3, -1, 2> is not orthogonal to the normal vector of the plane 6x - 2y + 4z = 1

To determine if the vector <3, -1, 2> is parallel to the plane 6x - 2y + 4z = 1, we need to check if the vector is orthogonal (perpendicular) to the normal vector of the plane.

Find the normal vector of the plane.
The normal vector of a plane is given by the coefficients of x, y, and z in the equation of the plane. In this case, the normal vector is <6, -2, 4>.

Check if the given vector is orthogonal to the normal vector.
Two vectors are orthogonal if their dot product is equal to 0. Let's compute the dot product between the given vector <3, -1, 2> and the normal vector <6, -2, 4>:

Dot product = (3 * 6) + (-1 * -2) + (2 * 4) = 18 + 2 + 8 = 28

Since the dot product is not equal to 0 (28 ≠ 0), the given vector <3, -1, 2> is not orthogonal to the normal vector of the plane.

The vector <3, -1, 2> is not orthogonal to the normal vector of the plane 6x - 2y + 4z = 1, which means it is parallel to the plane.

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Answer:

The answer is $12

Step-by-step explanation:

Multiply each price by 20% (0r .2) then add them. OR

Add each price then multiply them by 20$ (or .2)

Hoped this helped!

Answer:

360 miles

Step-by-step explanation:

1 inch = 60 miles

6 inches = x

- to get this simply multiply 60*6

Answer:

7

Step-by-step explanation:

4x=36-8

4x=28

x=7

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Maria skied a distance of 2.55 km, taking 0.425 hours (25.5 minutes) going up and 0.075 hours (4.5 minutes) skiing down.

To find out how far Maria skied and for how long, we'll use the given information and apply the distance-rate-time formula. The formula is Distance = Rate × Time.
First, let's convert the given 30 minutes into hours since the rates are in km/hr.
30 minutes = 30/60 = 0.5 hours.
Let x be the distance Maria skied up and down, and let t1 and t2 be the time taken to go up and down, respectively.
For the ski lift(going up):
Distance = Rate × Time
x = 6 × t1
For skiing down:
Distance = Rate × Time
x = 34 × t2
Since the round trip took 0.5 hours, we have:
t1 + t2 = 0.5
Now we have a system of equations:
x = 6 × t1
x = 34 × t2
t1 + t2 = 0.5
From the first equation, we can express t1 as:
t1 = x/6
From the second equation, we can express t2 as:
t2 = x/34
Now substitute these expressions into the third equation:
(x/6) + (x/34) = 0.5
To solve for x, find a common denominator (in this case, 102) and combine the fractions:
(17x + 3x) / 102 = 0.5
20x = 51
x = 51/20
x = 2.55 km
Now, we can find t1 and t2:
t1 = x/6 = 2.55/6 = 0.425 hours
t2 = x/34 = 2.55/34 = 0.075 hours
So, Maria skied a distance of 2.55 km, taking 0.425 hours (25.5 minutes) going up and 0.075 hours (4.5 minutes) skiing down.

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The portion of the field that is outside of the circular area is 9,398.4 yd².

The radius of the circle is calculated as follows;

circumference of the circle = 16π yards

circumference = 2πr

where;

2πr = 16π

r = 8 yards

The area of the circular portion is calculated as follows;

A = πr²

A = π x (8 yd)²

A = 201.6 yd²

The total area of the field is calculated as follows;

A = 120 yds  x  80 yds

A = 9,600 yd²

The portion of the field that is outside of the circular area is calculated as follows;

= 9,600 yd² - 201.6 yd²

= 9,398.4 yd²

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Answer:

V=2197

Step-by-step explanation: