A
Find the value of x.
Round to the nearest tenth.
19°
B
142°
X
x = [?]
Law of Sines: sin A
42
sin B
b
sin C
C

[5, +∞) ∪ (-∞,7] is the notation to express the set of all numbers greater than or equal to 5 and less than or equal to 7​.

We need to use interval notation to express the set of all numbers greater than or equal to 5 and less than or equal to 7​.

A set is a mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

Let x belong to the set of real numbers (R)

Now, x≥5 and x≤7.

So, x≥5⇒[5, +∞) and x≤7⇒(-∞,7]

Therefore, the notation will be [5, +∞) ∪ (-∞,7].

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Answer:

Transcribed image text: Transform each graph as specified below. (a) The graph of y=f(x) is shown. Graph y=2f(x). (b) the graph of y=g(x) is shown. Graph y=g(2x).

The number of cars that have passed through the intersection after 7 wrecks is 1/5 cars

w = k × c

31 = k × 1,085

31 = 1,085k

k = 1085/31

k = 35

If w = 7

w = k × c

7 = 35 × c

7 = 35c

c = 7/35

c = 1/5 car

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Answer:

  (b)  0.5431

Step-by-step explanation:

The proportion of adult tickets sold is the ratio of the total number of adult tickets sold to the total number of tickets sold. Those totals are found on the bottom line of the table.

__

  proportion = (adult tickets)/(total tickets) = 126/232 ≈ 0.5431

Approximately 0.5431 of the tickets sold were adult tickets.

Answer:

B) 0.5431

Step-by-step explanation:

edge 2023

Answer: 20

Step-by-step explanation:

A and B have 57+79-42=94 distinct elements in total.

This means that 114-94=20 elements are in neither A nor B.

11/36 would be the probability of getting 4 , when two dice are thrown simultaneously.

As there are 6 faces of die,
So Probability of Not getting four in one dice = [tex]5/6[/tex]

As both events are mutually exclusive, the probability of not getting four in two dice = [tex](5/6) * (5/6) = 25/36[/tex]

So probability of getting at least one four is = [tex]1-(25/36) = 11/36[/tex]

So probability = [tex]11/36[/tex]

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Answer:

Step-by-step explanation:

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Answer:

a = 127 kg

b = 55 kg

Step-by-step explanation:

a + b = 182

a - 36 = b + 36

   + 36      + 36

a = b + 72

(a) + b = 182

(b + 72) + b = 182

2b + 72 = 182

      -72    -72

2b = 110

÷2    ÷2

b = 55

a + (b) = 182

a + (55) = 182

   - 55      - 55

a = 127

{127 - 36 = 91}

{55 + 36 = 91}

{91 + 91 = 182}

Answer:

25/36

Step-by-step explanation:

put 2500 over 3600 and remove the 0's to simplify it

Answer:

0 m/s

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

We know that the 3-4-5 and 9-12-15 right triangles are similar. If you add 6 units to the length of each side of both of these triangles, you obtain 9-10-11 and 15-18-21 triangles, which are not similar since 9/15 is not equal to 10/18.

Answer:

m∠BAC = 40°

Step-by-step explanation:

Note that line BD passes through A, so ∠BAC and ∠CAD form a linear pair.  By the Linear Pair Postulate, ∠BAC and ∠CAD are supplementary angles, and by definition their measures add to 180°:

m∠BAC + m∠CAD = 180°

Since the diagram gives us that m∠CAD = 140°, we can substitute and solve:

Starting supplementary angles definition equation ...

m∠BAC + m∠CAD = 180°

Substituting the known value of m∠CAD ...

m∠BAC + (140°) = 180°

Subtracting 140° from both sides of the equation...

(m∠BAC + 140°) - 140° = (180°) - 140°

Simplifying/evaluating...

m∠BAC = 40°

Answer:

6 hours for daughter alone     Answer A

Step-by-step explanation:

Rate of mom to clean one house =  1 house /3 hrs  = 1/3

rate of daughter   = 1/x

Now find the time to clean one house with their combined rates for one house

1 /   (1/3 + 1/x )    = 2 hrs

1/3 + 1/x = 1/ 2

x + 3 = 3/2 x

3 = 1/2 x

x = 6 hrs   daughter alone

Answer:

Parallel lines have the same slope, so the slope would be 1/3. It would need a different y intercept though or it would be the same line.

The correct classification for √18 is an irrational number, non-repeating decimal.

The correct classification of √18 is an irrational number.An irrational number is a number that cannot be expressed as a fraction (ratio) of two integers and cannot be written as a terminating or repeating decimal.

√18 cannot be simplified to a fraction, and when expressed as a decimal, it is a non-repeating decimal that continues indefinitely without a pattern.

Therefore, the correct classification for √18 is an irrational number, non-repeating decimal.The number √18 is the square root of 18. An irrational number is a number that cannot be expressed as a fraction of two integers (a/b) where a and b are integers and b is not equal to zero.

When we calculate the square root of 18, we find that it is approximately 4.24264. However, this decimal representation continues indefinitely without repeating or terminating. It does not settle into a pattern of digits that repeats infinitely like a rational number or terminate after a finite number of decimal places.

Since √18 cannot be expressed as a fraction and its decimal representation is non-repeating and non-terminating, it falls under the category of an irrational number.

Therefore, the correct classification of √18 is an irrational number, specifically a non-repeating decimal.

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Answer:

- In 45 days = 4,5mm  ;    In 90 days = 9mm

Step-by-step explanation:

in 45 days = 0,1 * 45 = 4,5 mm  ; in 90 days = 0,1 * 90 = 9mm

The table with greater proportionality is table 3.

The constant of proportionality is the ratio between two directly proportional quantities.

As, the constant proportionality is

k= y/x

For table 1,

k = 1/1 = 2/2 =1

For table 2,

k = 6/1= 12/2 = 2

For table 3,

k = 5/1 = 10/2 = 5

For table 4,

k = 4/1 = 8/2 = 4

Hence, table 3 is with greater proportionality.

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The ratio of the median weekly earnings is 3 : 5

From the graph, we have the median weekly earnings to be:

So, the ratio is:

Ratio = $750 : $1250

Simplify

Ratio = 3 : 5

Hence, the ratio of the median weekly earnings is 3 : 5

In (a), we have:

Ratio = 3 : 5

The scale on the horizontal axis is given as:

1 unit per grid mark

Both rectangles have a width of 1 unit.

So, we have:

Ratio = 3 * 1: 5 * 1

Simplify

Ratio = 3 : 5

Hence, the ratio of the area of the red rectangle to the blue rectangle in graph A is 3 : 5

In (a), we have:

Ratio = 3 : 5

The scale on the horizontal axis is given as:

1 unit per grid mark

The red rectangle has a width of 3 units, while the blue has 5 units as its width

So, we have:

Ratio = 3 * 3 : 5 * 5

Simplify

Ratio = 9 : 25

Hence, the ratio of the area of the red rectangle to the blue rectangle in graph B is 9 : 25

In (a), we have:

Ratio = 3 : 5

The scale on the horizontal axis is given as:

1 unit per grid mark

The red rectangle has a width of 3 units, while the blue has 5 units as its width.

Since the base are squares, we have:

Ratio = 3 * 3  * 3 : 5 * 5 * 5

Simplify

Ratio = 27 : 125

Hence, the ratio of the volume of the red cube to the blue cube in graph C is 27 : 125

The most misleading graph is graph B.

This is so because the blue rectangle and the red rectangle do not have the same width when plotted on the same scale

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Answer:

42.86%

Step-by-step explanation:

Our percent fraction is 42.857142857143/100, which means that 37 as a percentage is 42.86%

Here we are going to show you step by step how to convert the fraction 3/7 to a percentage.

In the fraction 3/7, 3 is the numerator and 7 is the denominator.

First, we are going to divide the numerator by the denominator. Therefore, we are going to divide 3 by 7.

A percentage shows a number as a proportion of one hundred.

Now we are going to multiply 0.72 by 100 to get the percentage.

Therefore, the answer to 3/7 percent is

Note: If necessary, we round to the nearest hundred.

[tex]\red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

y=2x+3

to find inverse swap x and y

x=2y+3

x-3=2y

y=(x-3)/2

y=(x/2)-(3/2)

The inverse is f^-1(x)=(x/2)-(3/2)

Hope it helps!

The point which lies on the graph of the given function is; Choice D; (0, 2).

The point which lies on the graph of the given function; y = 2*3^x is it's y-intercept. The y-intercept which corresponds to the value of y when variable X is set to zero.

Hence, y = 2*3^0;

y = 2 ×1 = 2.

Hence, the point is; (0,2).

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Answer:

7x+y

7(7)+1

49+1

50

Step-by-step explanation:

please mark me as brainlest

Answer:

7x + y

x=7 y=1

7(7) + 1

49 + 1

= 50

Hey there!

10/4

≈ 10 ÷ 2 / 4 ÷ 2

≈ 5/2

≈ 2 1/2

Therefore, your answer should be:

2 1/2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The correct statements are:

Function g has a y-intercept of (0,4)

The range of the function g is (3, ∞).

The function g is positive over the interval (-∞ , ∞ ).

The parent function i.e. exponential function is defined by:

y=f(x)=aˣ

From the graph given below,

1. The graph of the function g is 3 units above the graph of the parent exponential function. as the parent exponential function aˣ cuts the y-axis at (0,1) and the child transformed function cut at (0,4) for which g is 4-1=3 units above the parent function  

2. The domain of the function is set of all the inputs for which function is defined. From the graph of function g, it is clear tha the domain of the function is (-∞ , ∞ ) as the domain of the parent exponential function is also (-∞ , ∞ ).

3. The y-intercept is the point at which function cut the y-axis. Graph of function g cut the y-axis at (0, 4). Therefore, Function g has the y-intercept at (0,4).

4. From the graph it is clear that Function g increases over the interval (-∞, 0) .

5. The range of the function is the output values of the function. From the graph, it is observed that the range of function g is (3, ∞). as its minimum value is 3 then the maximum value is ∞.

6. As, the graph of function g is drawn above the x-axis. Therefore, Function g lies completely on +ve y-axis, so function g is positive over the interval (-∞ , ∞ ).

Therefore The correct statements are:

Function g has a y-intercept of (0,4)

The range of the function g is (3, ∞).

The function g is positive over the interval (-∞ , ∞ ).

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The expression of base area of box will be 4x + x²

The area of a a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. Basically, the area formula is the product of the rectangle's length and width.

Given,

Length = 4+x

width = x

height = x²+1

We have to find the expression of base area of box

Given the length, width, and height

The formula for area of rectangle is as follow:

Area of rectangle = length x width

Area of rectangle = (4+x) x (x)

Area of rectangle = 4x + x²

Hence the expression of base area of box will be 4x + x²

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Answer:

it's 5 degrees celsius I think you must have entered a 4-32 instead of a 41-32 is what threw you off

Step-by-step explanation:

Answer:

hope it helps.good day

in case you don't understand anywhere feel free to ask

On a coordinate plane, a line goes through (negative 3, 0) and (0, negative 6).

The graph for the first equation of a system is shown in orange. The second equation is: 3y+30=6x

What is the solution to the system?

A. (2, –10)

B. (1, –8)

C. (–2, –14)

D. (2, –6)

Answer: 4.9/5

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Answer:

B. (1,-8)

Step-by-step explanation:

Slope of the first one:

(-6-0)/(0--3) = -6/3 = -2

y = -2x - 6

3y + 30 = 6x

y + 10 = 2x

-2x - 6 + 10 = 2x

4 = 4x

x = 1

y = -2(1) - 6

y = -8