Select the correct answer.
What is the domain of the function y=sin(x)?
A. [0,∞)
B. (-∞, ∞)
C. 2π
D. [-1, 1]

The geometric relation between the vectors v and w are:

The vectors are in the same direction.

Now, According to the question:

Geometrical Interpretation of Scalar Product

From the scalar product formula, we have a.b = |a| |b| cos θ = |a| proj→b(→a) proj b → ( a → ) , that is, the scalar product of vectors a and b is equal to the magnitude of vector a times the projection of a onto vector b.

Vectors describe movement with both direction and magnitude. They can be added or subtracted to produce resultant vectors. The scalar product can be used to find the angle between vectors.

Now, vw =-||v|| ||w||

a.b = |a| |b| cos θ = |a| proj→b(→a) proj b → ( a → )

vw =-||v|| ||w|| cos θ = |v| proj →w(→v) proj w → ( v → )

Hence, The vectors are in the same direction.

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Answer:

3/2

Step-by-step explanation:

write out equation

x^2*6+x=15

factor

6x^2+x-15=0

(2x-3)(3x+5)=0

x=3/2, x=-5/3

-5/3 is negative, so 3/2 is the answer

The quadratic equation is solved and the number is x = 3/2

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

David thinks of a positive number

Let the number be x

He squares it and multiplies the result by 6.

He then adds on his original number and gets an answer of 15

x + 6x² = 15

6x² + x - 15 = 0

On solving the quadratic , we get

(2x - 3)(3x + 5) = 0

2x - 3 = 0 or 3x + 5 = 0

Solving for x in each case gives:

2x = 3 or 3x = -5

x = 3/2 or x = -5/3

Since x is a positive number, the only valid solution is

x = 3/2

Hence , David is thinking of the number 3/2

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The value of x is -7

These are expressions that are made up of terms, variables, constants, factors and coefficients.

Algebraic expressions are expressions made up of arithmetic operations, such as;

From the information given, we have that;

-3x-5=16

collect the like terms

-3x = 16 + 5

-3x = 21

Divide by the coefficient of x

x = -7

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No, lecture notes collected during a bachelor degree study are not a type of date. Lecture notes are a collection of the notes taken by a student during the lectures in the course of their bachelor degree study.

They are not the same as dates, which are the specified days on which something happens or is planned to happen. Lecture notes are usually written in the form of summaries of a lecture, which are usually made up of the important points that the student has noted down during the lecture.

They may also include diagrams, equations, and other visual aids that the student has used to illustrate the material covered. Lecture notes are not the same as dates, as they are not related to any specified days. They are simply summaries of the lecture topics discussed by the professor in the course of the student’s bachelor degree study.

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Answer:

b or c

Step-by-step explanation:

The equation used to determine the number of days, x, required for the substance to decay to 63 grams is: x ≈ 83.60

To determine the number of days, x, required for a radioactive substance to decay to 63 grams, we can use the exponential decay formula. The equation that represents the decay of a radioactive substance over time is:

N(t) = N₀ * (1/2)^(t/h)

Where:

N(t) is the remaining mass of the substance at time t

N₀ is the initial mass of the substance

t is the time elapsed

h is the half-life of the substance

In this case, we have an initial mass of 475 grams, and we want to find the number of days required for the substance to decay to 63 grams. We can set up the equation as follows:

63 = 475 * (1/2)^(x/20)

To solve for x, we can isolate the exponential term on one side of the equation:

(1/2)^(x/20) = 63/475

Next, we can take the logarithm (base 1/2) of both sides to eliminate the exponential term:

log(base 1/2) [(1/2)^(x/20)] = log(base 1/2) (63/475)

By applying the logarithmic property log(base b) (b^x) = x, the equation simplifies to:

x/20 = log(base 1/2) (63/475)

Finally, we can solve for x by multiplying both sides of the equation by 20:

x = 20 * log(base 1/2) (63/475)

Using a calculator to evaluate log(base 1/2) (63/475) ≈ 4.1802, we find:

x ≈ 20 * 4.1802

x ≈ 83.60

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The value of x for the given triangle using cosine law will be 11.61°.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

As per the given triangle,

By cosine law,

cos2x = (50² + 29² - 26²)/(2 × 50 × 29)

cos2x = 2665/2900

2x = 23.22°

x = 11.61°

Hence "The value of x for the given triangle using cosine law will be 11.61°".

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(c) The worst-case running time of deleting the minimum element from a (min) binary heap with N elements is O(logN).

In a binary heap, the minimum element is always located at the root, which is the topmost element of the heap. When the minimum element is deleted, it needs to be replaced with a new element from the heap in order to maintain the heap property.

The process of replacing the root element and restoring the heap property is known as "heapify" or "heap-down." In the worst case, the replacement element may need to be compared and swapped multiple times with its children until it reaches its correct position in the heap.

Since the height of a binary heap is logarithmic with respect to the number of elements (N), the worst-case number of comparisons and swaps required during the heap-down process is proportional to the height of the heap, which is O(logN).

Therefore, (c) the worst-case running time of deleting the minimum element from a binary heap is O(logN).

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The answer is b. because the other ones don't charge money according to the number of miles.

Answer:

The structure that you used in your research paper can also be used for your presentation. For example, just like how your

Step-by-step explanation:

The formula E3 + E4 can b expressed in the form of absolute cell address, that is option (a) $E$3+$E$4

The given formula is

E3 + E4

In the absolute cell address the coordinates of the column and row will be constant while copying a formula from one cell to the other. Here we use the dollar sign "$" before the coordinates of the column and row to correct them.

The given formula is E3 + E4

The E is the name and 3 and 4 are the coordinates of the column and row

The absolute cell address =  $E$3+$E$4

Therefore, the absolute cell address of the given formula is $E$3+$E$4

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Answer:1386cm2

Step-by-step explanation:

Answer:

<3=140

Step-by-step explanation:

140 and <3 are corresponding . Two angles in the same position are called corresponding angles. They have the same measure if the original two lines are parallel.

The critical value for an F-test at α = 2.5% significance with one independent variable and 27 observations is approximately 5.7033. It represents the threshold beyond which we reject the null hypothesis in favor of the alternative hypothesis.

To determine the critical value for an F-test at α = 2.5% significance, we need to know the degrees of freedom associated with the numerator and denominator of the F-statistic.

For an F-test, the numerator degrees of freedom (df1) correspond to the number of groups or treatment conditions minus 1. In this case, since there is only one independent variable, the number of groups is 2 (assuming a standard F-test), so df1 = 2 - 1 = 1.

The denominator degrees of freedom (df2) correspond to the total number of observations minus the number of groups. In this case, we have n = 27 observations and 2 groups, so df2 = 27 - 2 = 25.

Now we can use these degrees of freedom values and the significance level (α) to find the critical value using an F-table or calculator.

Using statistical software or an online calculator, the critical value for an F-test with df1 = 1 and df2 = 25 at α = 2.5% significance is approximately 5.7033 (rounded to four decimal places).

Therefore, the critical value for the F-test at α = 2.5% significance is 5.7033.

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X and Y are independent random variables, and a and b are constants is

Var(X-Y) = Var(X) + Var(Y)

Now, According to the question:

Let's Know:

Independent random variable:

Two random variables X and Y are independent if

E(XY) = E(X)E(Y).In case of n random variables the formula is extended as

\(E(X_1,X_2,X_3....X_n)=E(X_1)E(X_2)E(X_3)...E(X_n)\)

Are the random variables X and Y independent?

If X and Y are two random variables and the distribution of X is not influenced by the values taken by Y, and vice versa, the two random variables are said to be independent.

Hence, X and Y are independent random variables, and a and b are constants is

Var(X-Y) = Var(X) + Var(Y).

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Answer:

The first is not a function.  The second is.

Step-by-step explanation:

See attachment.

The fraction which represent the number of sweaters Maggie knits in 8 days is 2/1 sweaters

Total number of sweaters Maggie knits = Sweaters Maggie knits per day × Number of days

= 1/4 × 8

= (1 × 8) / 4

= 8/4

= 2/1 sweaters

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The area under the normal curve between z = 0.0 and z = 1.79 is approximately 0.0359, which corresponds to answer choice b.

The area under the normal curve between z = 0.0 and z = 1.79 can be calculated using a standard normal distribution table or a calculator with a normal distribution function.

Using a standard normal distribution table, we can find the area under the curve between z = 0.0 and z = 1.79 in the body of the table, where the rows represent the tenths and hundredths digits of z, and the columns represent the hundredths digits of the area.

Looking up z = 0.0, we find the area to be 0.5000. Looking up z = 1.79, we find the area to be 0.4641. To find the area between these two values, we can subtract the smaller area from the larger area:
0.4641 - 0.5000 = -0.0359

However, since we are looking for the area under the curve (which cannot be negative), we need to take the absolute value of this result:
| -0.0359 | = 0.0359

Therefore, the area under the normal curve between z = 0.0 and z = 1.79 is approximately 0.0359, which corresponds to answer choice b.

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Answer:

\(1\frac{7}{12}\) or \(\frac{19}{12}\)

Step-by-step explanation:

\(\frac{3}{4} + \frac{1}{3} + \frac{1}{2} \\\)

The less common multiple of 4,3, and 2 is 12

\(\frac{3}{4} * \frac{3}{3} = \frac{9}{12}\)

\(\frac{1}{3} * \frac{4}{4} = \frac{4}{12}\)

\(\frac{1}{2} * \frac{6}{6} = \frac{6}{12}\)

This makes it easier the add

\(\frac{9}{12} + \frac{4}{12} + \frac{6}{12} = \frac{19}{12}\\\)

When reduced equals

\(1\frac{7}{12}\)

Hope this helps! :)

pls mark brainiest

Answer: 32 minutes

Step-by-step: 2-1=1

60 -30=30

30+2= 32

The equation of the line passing through the point ( -2, 7) and the given slope 2 is y = 2x + 11.

As given in the question,

Required line passes through the points :

( x₁ ,y₁ ) = ( -2 , 7 )

And the slope of the line is equal to 2

Standard form of the equation of the line is :

( y - y₁ ) / ( x - x₁ ) = ( y₂ - y₁ ) / ( x₂ - x₁ )

Here slope =  ( y₂ - y₁ ) / ( x₂ - x₁ )

                   = 2

Required equation of the line with given point and the slope is:

( y - 7 ) / ( x -(-2)) = 2

⇒ ( y - 7 ) / ( x + 2 ) = 2

⇒ ( y - 7 ) = 2 ( x + 2 )

⇒ y - 7 = 2x + 4

⇒ y = 2x + 11.

Therefore, the required equation of the line passing through the given point ( -2 , 7 ) and the slope 2 is equal to y = 2x + 11.

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Answer:

x = 109

Step-by-step explanation:

75 + 45 + y = 180

120 + y = 180

y = 60

60 + 79 + z = 180

z + 139 = 180

z = 41

41 + 68 + a = 180

109 + a = 180

a = 71

x + a = 180

x + 71 = 180

x = 109

Answer:

$24

Step-by-step explanation:

Cranberries needed: 1 pound

Cost of 1 pound = $4

Almonds needed: 4 pound

Cost of 1 pound = $5

4 x 5 = $20

20 + 4 = $24

Answer:

4.80

Step-by-step explanation:

Answer:

\(\huge\boxed{\text{Tip: } \$ 11}\)

\(\huge\boxed{\text{Total Cost: } \$ 65.65}\)

Step-by-step explanation:

In order to find the percent of something, we need to convert the percent into a decimal.

50% of x can be represented as \(0.5x\), as 50% is half of x and so is 0.5.

This means that 20% of 54.65 will be \(54.65\cdot 0.2\), which is $10.93.

Rounding to the nearest dollar gets us $11.

To find the total cost, we can add $11 (the tip) to the previous cost of $54.65.

\(54.65+11=65.65\)

Therefore, the total cost of the dinner would be $65.65

Hope this helped!

Answer:

Mia and her family went to dinner, and the bill, including tax, came to $54.65. Mia suggested giving the server a gratuity of about 20 percent of the bill.

If they give a gratuity of 20 percent, what would be the tip rounded to the nearest dollar?

✔ $11

If they give a gratuity of 20 percent, rounded to the nearest dollar, what is the total cost of the dinner, including the tip?

✔ $65.65

Step-by-step explanation:

Answer:

it would take him 19 track practices

Step-by-step explanation:

26miles - 7miles= 19miles

In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

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Answer:7 and 10

Step-by-step explanation:

Trust I got it 100% right

Answer:

1

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

16 - 11 = 5

Answer:

Length of RK=27

Step-by-step explanation:

Basically, you add both parts OR and OK, in order to get RK.