If h(x) = {(0, -9), (5,2), (8, -3), (10, 11)}, which set of ordered pairs represents
the inverse of h(x)?
O A. {(0,9),(-5, -2), (-8,3), (-10,-11)}
O B. {(-9, 0), (2,5), (-3, 8), (11, 10)}
C. {(0, -9), (5,2), (8, -3), (10, 11)}
D. {(9,0), (-2,-5), (3, -8),(-11, -10)}

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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Answer:

Pretty sure its 0.6x + 0.5= 0.75

Step-by-step explanation:

\(\boxed{\boxed{\pink{\bf \dag Value \ of \ x \ is \ \dfrac{5}{12}}}}\)

A linear equation is given to us and we need to solve the equation by converting it into a equivalent equation that does not contain fractions . So the given equation is :-

\(\bf\implies \dfrac{3}{5}x + \dfrac{1}{2}=\dfrac{3}{4}\)

Here the denominators of the fractions are 5 , 2 and 4. So LCM of 5 , 2 and 4 is , 20 .

So , Multiply whole equation by 20 .

\(\bf\implies 20 \bigg( \dfrac{3}{5}x + \dfrac{1}{2} \bigg) = 20 \times \dfrac{3}{4}\\\\\bf\implies 4\times 3x + 10 = 5\times 3 \\\\\bf\implies 12x + 10 = 15 \:\: \bigg\lgroup \blue{\bf Equivalent \ equation \ without \ fractions .}\bigg\rgroup \)

Now let's solve this equation since we successfully converted it into a equivalent equation without fractions.

\(\bf \implies 12x + 10 = 15 \\\\\bf\implies 12x = 15-10 \\\\\bf\implies 12x = 5 \\\\\bf\implies\boxed{\red{\bf x =\dfrac{5}{12}}}\)

Answer:

\(\huge\boxed{x=-1;\ y=-1.5}\)

Step-by-step explanation:

\(\left\{\begin{array}{ccc}-2x+y=3.5\\-2y=3x&\text{divide both sides by (-2)}\end{array}\right\\\left\{\begin{array}{ccc}-2x+y=3.5&(1)\\y=-1.5x&(2)\end{array}\right\\\\\\\text{Substitute (2) to 1):}\\-2x+(-1.5x)=3.5\\-2x-1.5x=3.5\qquad\text{combine like terms}\\-3.5x=3.5\qquad\text{divide both sides by (-3.5)}\\\dfrac{-3.5x}{-3.5}=\dfrac{3.5}{-3.5}\\\boxed{x=-1}\\\\\text{Substitute it to (2):}\\y=1.5(-1)\\\boxed{y=-1.5}\)

Answer:

B

Step-by-step explanation:

it's going to be as follows: you are going to take the current price of the shares which is $291,20 and ÷ it by the number of shares

\( \huge \purple{\tt{Answer:}} \)

6.56 × 1.2= 7.872 = 7.9 [ to 2 significant figures]

Significant figure

Significant figures are the number of digits in value, often measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit. Calculate the number of significant figures for an assortment of numbers.

fewest; the same significant figures with; measured numbers

Without mincing words let us dive straight into the solution to the above question. In order to be able to use the significant figures properly one must know the rules attached to it uses. This is so, because they contributes to the precision of measurements.

When performing multiplication or division calculation, the number of significant figures in the answer[result] will be determined by the one with the smallest number of significant figure in the problem.

Therefore, if we have 6.56 which is three[3] significant figures and 1.2 which is two[2] significant figures, then the number of significant figures will be two[2].

6.56 × 1.2= 7.872 = 7.9[ to 2 significant figures].

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The area of the sector is 16π square inches.

To find the area of a sector of a circle, we need to use the formula:

Area of sector = (central angle/360) x \(\pi r^2\)

where r is the radius of the circle.

In this case, the radius is given as 8 inches.

We are also given that the central angle measures from 60 to 150 degrees. To calculate the area of the sector, we need to find the size of the central angle first.

To do this, we subtract the smaller angle from the larger angle:

150 - 60 = 90 degrees

So, the central angle is 90 degrees.

Now, we can substitute the values into the formula:

Area of sector = (90/360) x \(\pi 8^2\)

Area of sector = (1/4) x π(64)

Area of sector = 16π square inches

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Answer:

x < 1

Step-by-step explanation:

2(x-7)<-12

Divide by 2

2(x-7)/2<-12/2

x-7 < -6

Add 7 to each side

x-7+7 < -6+7

x < 1

False. The columns of matrix P are not necessarily eigenvectors of matrix A. While the diagonal matrix D contains the eigenvalues of A, the eigenvectors are not explicitly determined by the columns of P.

False. The columns of matrix P are not guaranteed to be eigenvectors of the transpose of matrix A (A.T).

In the given equation, \(a = PDP^(-1),\)

where D is a diagonal matrix and P is an invertible matrix.

The diagonal elements of D represent the eigenvalues of matrix A, while the columns of P correspond to the eigenvectors of A.

When considering the transpose of matrix A (A.T), we have \((A.T) = (PDP^(-1)).T = (P^{(-1)})^T D^T P^T.\)

Taking the transpose of a product involves reversing the order of the matrices and transposing each matrix individually.

Therefore, we have \((A.T) = P^T D^T (P^{(-1)})^T.\)

Since P is an invertible matrix, its transpose \(P^T\) is also invertible. Similarly, the transpose of the inverse of \(P, (P^{(-1)} )^T,\) is also invertible.

However, the key point is that the diagonal matrix\(D^T\) is not guaranteed to have the same eigenvalues as matrix A.

The eigenvalues of A are present in D, but they may not remain on the main diagonal after transposing.

Thus, the columns of matrix P, which correspond to the eigenvectors of A, may not necessarily be the eigenvectors of A.T.

In conclusion, the statement is false.

The columns of matrix P do not have to be eigenvectors of the transpose of matrix A (A.T).

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According to the linear relationship between both variables, the meaning of the x-value when y = 94 is: approximately 5.1 hours is spent on homework to get a weekly score of 94.

The two variables in this problem are:

We are also given the equation that represents the linear relationship between these two variables as y = 55 + 7.6x. This implies that the weekly quiz score of the students is dependent on the amount of time students spend on their homework.

Therefore, to find the meaning of the x-value when y = 94, it means we have to find how many hours (x) the students spends to earn a weekly quiz score of 94, y.

Substitute y = 94 into the equation y = 55 + 7.6x:

94 = 55 + 7.6x

94 - 55 = 7.6x

39 = 7.6x

39/7.6 = x

x ≈ 5.1

This means the students spend approximately 5.1 hours  to get a weekly score of 94.

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2. Using proportion, the value of x = 38, the length of FC = 36 in.

3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.

The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.

2. The proportion we would set up to find x is:

(x - 2) / 4 = 27 / 3

Solve for x:

3 * (x - 2) = 4 * 27

3x - 6 = 108

3x = 108 + 6

Simplifying:

3x = 114

x = 114 / 3

x = 38

Length of FC = x - 2 = 38 - 2

FC = 36 in.

3. The proportion we would set up to find x based on the angle bisector theorem is:

13 / 3x = 7 / (2x - 5)

Cross multiply:

13 * (2x - 5) = 7 * 3x

26x - 65 = 21x

26x - 21x - 65 = 0

5x - 65 = 0

5x = 65

x = 65 / 5

x = 13

Length of CD = 3x = 3(13)

CD = 39 cm

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Answer:  24.6 m

Step-by-step explanation:

The shape described is that of a right-angled triangle.

This means that the height of the pole can be calculated using the Pythagorean rule.

c² = a² + b²

c = hypothenuse which is the length of the cable to the ground = 33m

a = base = distance from base of pole to cable point on ground = 22m

b = height of pole

33² = 22² + b²

1,089 = 484 + b²

b² = 1,089 - 484

b² = 605

b = √605

b = 24.6 m

The z-score for a 34-minute wait time in the cpt-memorial distribution is 1.1.

The z-score is a measure of how many standard deviations away from the mean a particular value falls. It is calculated by subtracting the mean from the value of interest and then dividing by the standard deviation.
In this case, we want to find the z-score for a 34 minute wait when the mean is 23 minutes and the standard deviation is 10 minutes.
z = (34 - 23) / 10
z = 1.1
So the z-score for a 34 minute wait is 1.1. This means that a 34 minute wait is 1.1 standard deviations above the mean wait time for cpt-memorial.
We can use this z-score to determine the percentage of wait times that fall below or above 34 minutes by using a standard normal distribution table. For example, a z-score of 1.1 indicates that approximately 86.42% of wait times are below 34 minutes, while 13.58% of wait times are above 34 minutes.
Overall, the z-score is a useful tool for understanding how a particular value relates to the distribution of a dataset.

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Answer:

(10,0)

Step-by-step explanation:

3x+6y=30

3x+6(0)=30

3x=30

x=10

Answer:

hmmm? well I guess I can solve for x in relation to y and vice versa

but to actually solve for x and y you will need another equation of x and y

3x=30+6y

x=10+2y=2y+10

-6y=30-3x

-2y=10-x

2y=-10+x=x-10

y=(1/2)x-5

well, y=(1/2)x-5 is a line with slope 1/2 and y-intercept (0,b) of

The missing numbers to fill the question marks are 2.1 and 7.11

To solve the question, we need to look for a pattern or relationship between the given numbers. One way to approach this is to consider the decimal representation of each number.

If we look at the first number, 0.13, we can see that it has 2 digits after the decimal point.

The second number, 6.02, has 2 digits before the decimal point.

So, it's possible that the missing numbers also follow a pattern where one number has 2 digits before the decimal point, and the other has n digits after the decimal point.

Using the decimal points, one possible pattern is 2, 2.1, 0.13, 6.02, 7.11

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An absolute value graph is a V-shaped graph that opens either upwards or downwards, depending on the equation. To determine if an absolute value graph opens up or down, you need to examine the value of the constant k in the equation. If k is positive, the graph opens upwards and if k is negative, the graph opens downwards.

The general form of an absolute value equation is y = |x| + k, where k is a constant. The graph of this equation will open upwards if k > 0, and downwards if k < 0.

For example, if the equation is y = |x| + 2, the graph will open upwards and will have vertex at the point (0, 2)

On the other hand, if the equation is y = |x| - 2, the graph will open downwards and will have vertex at the point (0,-2)

The vertex of the graph is the point where the graph changes direction. The x-coordinate of the vertex is always 0 and the y-coordinate is the value of k.

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Answer:

120

Step-by-step explanation:

To solve this, we can first find the value of the number.

Let's name the number x.

We can set up a proportion to solve.

90/60=x/100

Simplify.

9/6=x/100

Cross multiply.

6x=900

Divide both sides by 6.

x=150

The original number is 150.

Let's find 4/5 of that.

4/5*150

Multiply.

600/5

Divide.

120

________________________________

Hey!!!

Solution,

Let the number be X

60% of X=90

or,60/100*X=90

or,3/5*X=90

or,X=90/3/5

or,X=90*5/3

or,X=450/3

X=150

Again,

4/5 of X

=4/5*150

=120

The answer is 120

hope it helps

Good luck on your assignment

_____________________________

Answer:

  1, 2, 4, 5, 7

Step-by-step explanation:

The function rule tells you what you must do to each input (x) value in order to find the value of the function (h(x)).

The function rule here tells you that 2 is added to the x-value.

For example, for x = -1, ...

  h(x) = x +2 . . . . . . given function rule

  h(1) = -1 +2 = 1 . . . . . . put the value of x where x is, and do the arithmetic

The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.

The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.

Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.

To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.

In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.

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Answer:

376.99cm

Step-by-step explanation:

Answer:

Not possible.

Step-by-step explanation:

250 = 2 * 5 * 5 * 5

From this you write the square root as 5 * √10  so you would have to use a calculator to get any further.

Answer:

4d-16/1, 8d-32/2, 12d-48/3, etc.

Step-by-step explanation:

Just throw a denomiator under the expression and adjust the expression accordingly.

Answer:

the distance a number did from 0 onna number line

Answer:

B

Step-by-step explanation:

The angle opposite of y would have the same value.  That would make that angle 110.  That angle and the x would make a straight line.  The measurement of a straight line is 180.  180 - 110 = 70. Angle x would be 70.

Helping in the name of Jesus.

Answer:

B) 70⁰

Step-by-step explanation:

Opposite angles of a paralellogram are equal, so the inside angle of the paralellogram is also 110⁰. x+110 must add up to 180⁰, so x=70⁰.

Hope this helps!

Answer:

The missing side is 5 sq units.

Count each square unit without a grid.

The picture should prove this true that I edited.

Thus, the measure of the obtuse angle using the supplementary angles property is found as:  ∠ β = 165.

Pairs of angles are said to be supplementary if the sum of respective angles equals 180 degrees.

A straight line exclusively appears in one form, even though its angle measurement is 180 degrees, hence it cannot be referred to as a supplementary angle. Angles must come in pairs and add up to 180° in order to be referred to as supplementary angles.

The figure for the angles are attached.

So,

∠ θ + ∠ β = 180

∠ θ  = 15 (given)

15 + ∠ β = 180

∠ β = 180 - 15

∠ β = 165

Thus, the measure of the obtuse angle using the supplementary angles property is found as:  ∠ β = 165.

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Answer:

Substitute:

2a-4b

2(5)-4(-2)

=10+8

= 18

Answer:

it is so easy why don't you do it by yourself but if you are beginner here it is the answer

Step-by-step explanation:

2(-2)-4(5)

-4-20

-24

Answer:

3/4

Step-by-step explanation:

12 sweet/ 16 total

first lets divide both by 4

(12÷4) / (16÷4)

3/4

that is how we got that.

Tell me if this helps

If you pick a cherry at random, the probability that it will be sweet will be 3/8.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event. In everyday life, risk modeling and assessment involve the use of probability theory. Environmental control, entitlement analysis, and financial regulation are all areas where governments use probabilistic methodologies.

It is given that the bag has 16 cherries, 12 sweets,s and 4 sours.

The total number of the quantities bag is the sum of all the quantities,

=16 +12+ 4

=32

The probability that it will be sweet is the ratio of the number of sweet to the total number of quantities,

= 12 / 32

=3 / 8

Thus, if you pick a cherry at random, the probability that it will be sweet will be 3/8.

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The inequality pairs with y ≤−2x−1 to complete the system of linear inequalities represented by the graph is y > -2x+2

The one inequality is

y ≤−2x−1

The inequality is represents the relationship between two variables with inequality sign. The inequality will be less than, greater than, less than or equal to and greater than or equal to.

Both lines are parallel therefore the slope of the line will be same that is -2.

The y intercept of the line is +2

The shade is on the top side of the line

Therefore the inequality will be

y>−2x+2

Hence, the inequality pairs with y ≤−2x−1 to complete the system of linear inequalities represented by the graph is y > -2x+2

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