What is the value of tan in the unit circle below?
π
Y
37
2
7Z
2
7:1
0
0
√√3
2
X
2

The sequence of rigid motion followed by a dilation with center (0, 0), that maps RSTU to VXYZ is described using option C as follows;

C. Reflection across the x-axis, translation 2 unit(s) left and 1 unit down, dilation with center (0, 0) and scale factor 0.5

A rigid transformation is one in which the distance between corresponding pairs of points in the pre-image is preserved in the image

The coordinates of a pair of points in RSTU are; R(6, 0), S(8, 4), and T(6, 8)

The coordinates of similar points in VXYZ are; V(1, -1), X(2, -3), and Y(1, -5)

Length of RS = √((8 - 6)² + (4 - 0)²) = 2·√5

Length of ST = √((8 - 6)² + (4 - 8)²) = 2·√5

Length of VX = √((2 - 1)² + (-3 - (-1))²) = √5

Length of XY = √((2 - 1)² + (-3 - (-5))²) = √5

Applying a reflection across the x-axis on the RSTU, we get;

R(6, 0) → R'(6, 0)

S(8, 4) → S'(8, -4)

T(6, 8) → T'(6, -8)

Applying a dilation of a scale factor of 0.5, we get;

R'(6, 0) → R'(6 × 0.5, 0 × 0.5) = R''(3, 0)

S'(8, -4) → S''(8 × 0.5, -4 × 0.5) = S''(4, -2)

T'(6, -8) → T''(6 × 0.5, -8 × 0.5) = T''(3, -4)

Applying a translation of 2 units left and 1 unit down to the R''S''T''U'', we get;

R''(3, 0) → V(3 - 2, 0 - 1) = V(1, -1)

S''(4, -2) → X(2 - 2, -2 - 1) = V(2, -3)

T''(3, -4) → Y(3 - 2, -4 -1) = Y(1, -5)

The coordinates of similar points in VXYZ are; V(1, -1), X(2, -3), and Y(1, -5)

Therefore; the sequence of rigid motion that maps RSTU to VXYZ is a reflection across the x-axis, a translation of 2 units to the left and 1 unit down followed by a dilation of 0.5 with the center of dilation at (0, 0)

The correct option that can be used is option C.

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Answer:

(0,-2)

Step-by-step explanation:

Answer:

2578

Step-by-step explanation:

Answer:

2578

Step-by-step explanation:

Answer:

7 employees

Step-by-step explanation:

Given that 10% are temporary .

So number of temporary employees will be 10% of 70 employees = 7employees ( Answer)

Answer:T

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

is the answer

Answer:

A = x^2 - x + xy - y

P = 4x + 2y - 2

Step-by-step explanation:

\(a = (x + y)(x - 1) \\ a = {x}^{2} - x + xy - y \\ \\ p = 2((x + y) + (x - 1)) \\ p = 2(2x + y + - 1) \\ p = 4x + 2y - 2\)

I hope that is useful for you :)

Answer:

1) 7/8     8/7

2) 4.4

3) 3.7

4) 2.8

Step-by-step explanation:

Length of bottom side of Figure A: 8 cm

Length of bottom side of Figure B: 7 cm

From Figure A to Figure B, the scale factor is 7/8.

7/8

8/7

5 × 7/8 = 35/8 = 4.375

4.4

3.2 × 8/7 = 3.657...

3.7

3.2 × 7/8 = 2.8

2.8

Answer:

about 2.666 times

Step-by-step explanation:

you know that 80 days have past and it only takes 30 days for the population to double. if you do 80/30 you get 2.666 meaning that the population would of been 2.666 times greater.

The population be than after 30 days about 2.666 times greater.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given; A population of insects can double in 30 days.

After 80 days, We need to find that how many times greater will the population be than after 30 days

We know that 80 days have past and it only takes 30 days for the population to double.

if we do 80/30 = 2.666 meaning that the population would of been 2.666 times greater.

Therefore, The population be than after 30 days about 2.666 times greater.

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Answer:

the gradient of a graph at any point.

Step-by-step explanation:

The limit as x approaches 1 from either side should match, so that

\(\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1}(-2x+a)=a-2\)

\(\displaystyle\lim_{x\to1^+}f(x)=\lim_{x\to1}x=1\)

==>   a - 2 = 1   ==>   a = 3

The answer is a = 3.

Finding Left Hand Limit (LHL)

\(\displaystyle \lim_{x \to \11^{-}} f(x) = -2(1) + a\)

Finding Right Hand Limit (RHL)

\(\displaystyle \lim_{x \to \11^{+}} f(x) = 1\)

For a continuous function, LHL = RHL

If your cost of money is 6.4 percent, what is the current value of the lease is equal to $820.0054.

In Economics, a lease can be defined as a contractual agreement between a lessor and lessee, which avails the lessee an opportunity to make use of an asset, while making payments in instalment to the lessor for a specific period of time.

Mathematically, the current (present) monetary value of a lease can be calculated by using this formula:

Current value, PV = [Annuity × (1 + r) × [1 - (1 + r)^{-n}]/r]

Where:

Note: r = 0.064/12 = 0.0053333

Substituting the given parameters into the formula, we have;

Current value, PV = [144 × (1 + 0.0053333) × [1 - (1 + 0.0053333)^{-36}]/0.0053333]

Current value, PV = [144 × (1.0053333) × [1 - (1.0053333)^{-36}]/0.0053333]

Current value, PV = [144 × (1.0053333) × [1 - 0.8257290]/0.0053333]

Current value, PV = [144 × (1.0053333) × [0.174271/0.0053333]

Current value, PV = 25.095024 × 32.6760167

Current value, PV = $820.0054.

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Answer: ratios that compare units of one quantity to units of another quantity.

Step-by-step explanation:

ex. miles per hour someone travels, price per day for a rental car

Ex. 10 jelly beans: 1 bag - 10 jelly beans per bag

The best measure of spread to compare data sets depends on the data's nature and the analysis goals. For categorical data, the mode is appropriate. For numerical data, measures like standard deviation, range, or interquartile range (IQR) are commonly used.

In order to determine the best measure of spread to compare the data sets, we need to understand the characteristics of the data and the specific goals of the comparison.

If the data sets are categorical and consist of non-numeric values, such as different types of cakes, using the mode would be appropriate. The mode represents the most frequently occurring value and provides insight into the dominant categories within the data sets.

However, if the data sets are numerical, measures such as standard deviation, range, and interquartile range (IQR) are commonly used to analyze the spread of the data.

The standard deviation measures the dispersion of values around the mean. It provides a measure of the average deviation from the mean, making it useful when the data follows a roughly normal distribution.

The range is the simplest measure of spread, representing the difference between the maximum and minimum values in the data sets. It provides a quick indication of the overall spread, but it is sensitive to outliers.

The interquartile range (IQR) is the range between the first quartile (25th percentile) and the third quartile (75th percentile) of the data. It is resistant to outliers and provides a measure of the spread of the middle 50% of the data.

To determine the best measure of spread, you need to consider the characteristics of your data and the specific context of your analysis. There is no universally "best" measure, as it depends on the nature of the data and the purpose of the comparison.

In summary, the best measure of spread to use for comparing the data sets could be the standard deviation, range, or interquartile range (IQR), depending on the nature of the data and the goals of the comparison.

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Answer:

Ximena can use 1 gigabytes of data

Step-by-step explanation:

The first thing you want to do is subtract

51.10 - 44.50 =  5.6

5.6 is the amount of money she will have to spend on data

With each gigabyte costing 4 dollars and only 5 dollars to spend

she can only use one gigabyte

Answer:

4

Step-by-step explanation:

Answer:

Step-by-step explanation:

what do u need help with

Answer:

F

Step-by-step explanation:

Y=-10

-5/2=-2.5

Keep in mind that...when dealing with negative numbers, the number closer to zero is the bigger number.

2.5 if closer to zero so the answer is F

Step-by-step explanation:

There is no table attached, please recheck and resend.

Answer:

ok if you have a calculator you go to STAT EDIT it will pull up a table the first one is for x values the second one is for y valuesyou type in one number like 13 then push enter do it for all four the push the right arrow and enter those numbers the go to STAT over to the right it sould be CALC then push the number 4scroll down to calculate and click it it will generate the slobe in ax+b form

Step-by-step explanation:

it is -5x+76

i hope this helps brainliest plz

1. The number of baseball cards from Gene is 321.

2. An equation that represents finding the number of baseball cards that come from Gene is g = 758 - a.

An equation is a mathematical statement that shows the equality of two or more mathematical expressions.

Equations are solved to solve mathematical problems with unknown variables, combining numbers and variables with mathematical operands.

We depict equations using the equation symbol (=).

The total number of baseball cards with Aaron and Gene = 758

The number of cards from Aaron, a = 437

The number of cards from Gene = g

g = 758 - a.

= 758 - 437

= 321

Thus, using the above equation, we can use the subtraction operation to find that Gene brought 321 baseball cards.

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Mario viaja 48 segundos para encontrarse con Luis.

La distancia se define como la longitud de la trayectoria real recorrida por una partícula en movimiento. El desplazamiento se define como la distancia más corta entre la posición inicial y final de un cuerpo. La distancia recorrida por una partícula en una unidad de tiempo se conoce como velocidad.

La distancia entre Luis y Mario es de 240 metros.

La velocidad al caminar de Luis es de 3 m/s.

La velocidad al caminar de Mario es de 5 m/s.

La distancia se puede definir como el producto de la velocidad y el tiempo que tarda el objeto.

Por lo tanto,

Para que Mario alcance a Luis,

Distancia = Velocidad × Tiempo

240 = 5 × t

t = 240/5 = 48 sec.

Mario tiene que viajar durante 48 segundos para encontrarse con Luis.

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answer is D7/2

hope it helps!!!!!!!!!!!!!!!!!!!!!!

The probability that either event will occur is 0.33

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

Using the above as a guide, we have the following:

Total = A + B + C

So, we have

Total = 8 + 7 + 30

Evaluate

Total = 45

So, we have

P(A) = 8/45

P(B) = 7/45

For either events, we have

P(A or B) = 8/45 + 7/45

P(A or B) = 15/45

Evaluate

P(A or B) = 0.33

Hence, the probability that either event will occur is 0.33

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The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

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Answer:

is this actually a question

Step-by-step explanation:

3/12 is equivalent to 1/4 because 1 x 3 = 3 and 4 x 3 = 12. 4/16 is equivalent to 1/4 because 1 x 3 = 4 and 4 x 3 = 16. and so on ... Equivalent fractions may look different, but when you reduce then to the lowest terms you will get the same value.

The equation of the graph g(x)  is \(3^{x-6}\)

What is a graph ?

A diagram that shows how a variable's variation compares to that of one or more other variables, such as a collection of points, lines, line segments, curves, or areas. all points whose coordinates satisfy a specific relation;

In mathematics, the word "graph" has (at least) two distinct meanings. A function graph or "graph of a function," also known as a plot, is referred to as a "graph" in elementary mathematics. A graph is a set of points and the connections between some subset of those points and their lines, which may or may not be empty.

The translation of the graph of the function y = f(x) a units to the right gives the function y = f(x-a)

If the graph of the function  f(x) = 3^x is translated 6 units to the right , then the function becomes

g(x) = f(x - 6)

     = \(3^{x-6}\)

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