Find the range of the data in the box plot below. \text{ cm} cmstart text, space, c, m, end text A horizontal boxplot titled Amount of rain in Vietnam cities, in centimeters, is plotted along a horizontal axis marked from 0 to 10, in increments of 0.5. A left whisker extends from 3.5 to 5.5. The box extends from 5.5 to 7 and is divided into 2 parts by a vertical line segment at 6. The right whisker extends from 7 to 7.5. All values estimated.

Answer:

3:4

Step-by-step explanation:

We know this because the GCD of 21 and 28 is 7

so we divide both numbers by 7 and get 3 and 4

so the answer is 3:4

The correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

The given inequality is -3(2x - 5) < 5(2 - x)

We need to simplify the inequality.

In mathematics, inequality is a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.

Consider LHS and simplify -3(2x - 5) = -3(2x)-5(-3)

⇒ -3(2x - 5) = - 6x + 15 [∵(-)(-) = (+)]

Consider RHS and simplify 5(2 - x) = 5(2) + 5(-x)

⇒5(2 - x) = 10 - 5x [∵(+)(-) = (-)]

Now, - 6x + 15 < 10 - 5x

By subtracting 15 from both sides, we get

- 6x < -5 - 5x

By adding 5x to both sides, we get - x < - 5

The coefficient of x is -1. So, divide both sides by -1

Then we get x > 5

Hence, the correct simplified inequality is - 6x + 15 < 10 - 5x and the number line representation is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right".

To learn more about inequalities visit:

https://brainly.com/question/20383699.

#SPJ1

Step-by-step explanation:

Solution:

The slope of the line -2x+y = -3 is m1 =

- coefficient of x ÷ coefficient of y

= -(-2) ÷1

=2

Then, according to the question ;

It is stated that the lines are parallel

i.e.

m1=m2

or, 2 = m2

Hence, m2 =2

Again,

The required equation of the line passing through the point P(2,-2) = (x1,y1) is

y-y1 = m2(x- x1)

or, y-(-2) = 2(x-2)

or, y+2 = 2x-4

or, 2+4 = 2x-y

or, 2x-y = 6

Therefore; 2x-y = 6.

Answer:

7 and 8

Step-by-step explanation:

49 - 1 = 48. (1)

48 - 3 = 45. (2)

45 - 5 = 40. (3)

40 - 7 = 33. (4)

33 - 9 = 24. (5)

24 - 11 = 13. (6)

13 - 13 = 0. (7) The answer is 7

64 - 1 = 63. (1)

63 - 3 = 60. (2)

60 - 5 = 55. (3)

55 - 7 = 48. (4)

48 - 9 = 39. (5)

39 - 11 = 28. (6)

28 - 13 = 15. (7)

15 - 15 = 0. (8) the answer is 8

Answer:

Step-by-step explanation:

      In this, the given number is subtracted by consecutive odd numbers (1,3,5,7,9.....)  till we fer zero at the end. Count the number of steps performed and this number will be square root of the given number.

a) 49

√49 = 7

b)  64

√64 = 8

Answer:

horizontal translation    ( this would require an  x - k   or x+k   type of a factor)

Step-by-step explanation:

It DOES have :

    vertical    due to the -9

    horizontal compression due to the  3x

    reflection due to the   -4

Answer:

[tex]5^{\circ}[/tex]

Step-by-step explanation:

[tex]~~~~~~~\tan \theta = \cot 85^{\circ}\\\\\implies \tan \theta = \tan\left(90^{\circ} - 85^{\circ} \right)\\\\\implies \tan \theta = \tan 5^{\circ}\\\\\implies \theta = 5^{\circ}[/tex]

The unit rate at which Martin paints in walls per gallon is 1 7/25 walls per gallon

Unit rate of paint per gallon = Quantity of wall / gallon of paint

= 4/5 ÷ 5/8

= 4/5 × 8/5

= (4 × 8) / (5 × 5)

= 32/25

= 1 7/25 walls per gallon

Complete question:

Martin uses 5/8 of a gallon of paint to cover4/5 of a wall. What is the unit rate at which Martin paints in walls per gallon

Learn more about unit rate:

https://brainly.com/question/620388

#SPJ1

Answer:

800

Step-by-step explanation:

I did it on the test

Answer:

800

Step-by-step explanation:

I just fifnished test

Answer:

2

Step-by-step explanation:

When a function and its inverse are composed, the output is equal the input.

Step-by-step explanation:

as we see in the sequence, each term is twice of the previous term.

we mark the Nth as a(N), then:

a(N)=2a(N-1)

Answer:

[tex]a_{n}[/tex] = 5[tex](2)^{n-1}[/tex]

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

10 ÷ 5 = 20 ÷ 10 = 40 ÷ 20 = 80 ÷ 40 = 2

this indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 5 and r = 2 , then

[tex]a_{n}[/tex] = 5 [tex](2)^{n-1}[/tex]

Answer:

i think 150 degrees

Step-by-step explanation:

the 30° angle and ∠1 are a linear pair, and are supplementary. therefore they add up to 180°
∠1 + 30° = 180°

The linear velocity of the Ferris wheel in inches per second is 18.9 inches/second.

The speed of an object is the ratio of the total distance covered by the object and the total time taken by the object to complete that distance.

Here, the radius of the Ferris wheel is (r) = 30 feet.

The circumference of the wheel is

C= 2πr

C= 2 × π × 30 feet

C= 60π feet

Here, the Ferris wheel completes 7 revolutions.

Therefore, it covers the linear distance of

D= 7 × circumference of the wheel

D= 7 × 60π feet

D= 420π feet

Now, the Ferris wheel took 14 minutes to complete 420π feet.

Therefore, the speed of the wheel is

S= (420π/14) feet/minute

S= 30π feet/minute

S= (30π × 12)/60 inches/second

S= 6π inches/second

S= 18.9 inches/second

Therefore the linear velocity of the object will be 18.9 inches/second

Learn more about the speed of an object here: brainly.com/question/16123156

#SPJ1

The distance from the wall defined by the y-axis will be 8 feet. Then the correct option is B.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The table is given below.

Then the equation of the line will be

(y – 8) = [(8 – 6) / (0 – 20)](x – 0)

       y = -0.1x + 8

If the drain is at the minimum point.

Then the distance from the wall defined by the y-axis will be 8 feet.

Then the correct option is B.

The complete question is given below.

More about the equation of line link is given below.

https://brainly.com/question/21511618

#SPJ1

Answer:

y - 1 = -2(x + 2)  

Step-by-step explanation:

The general structure of an equation in point-slope form is:

y - y₁ = m(x - x₁)

In this form, "x" and "y" stand for the values of one point and "x₁" and "y₁" stand for the values of another point. The variable "m" represents the value of the slope. You have been given the values of one point and the slope. When you plug them into the general form, you get this answer:

Point: (-2, 1)

m = -2

y - y₁ = m(x - x₁)                    <----- Point-slope form

y - y₁ = -2(x - x₁)                    <----- Plug -2 in "m"

y - 1 = -2(x - (-2))                   <----- Plug in values from point

y - 1 = -2(x + 2)                    <----- Simplify

a)The functions that represent the flight of the clay disc in Factored Form will be,[tex]\rm y = - \frac{1}{90} (x-60)^2+40[/tex]

b)The function in its standard form is,[tex]\rm y =- \frac{1}{90} x^3 + \frac{4}{3} x[/tex].

c) The domain and range of the quadratic function with the context provided will be [0,120] and [0,40] respectively.

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

The given points represent on the graph is;

x = 0 , y = 0

x = 120 , y = 0

x = 60 , y = 40

The standard equation is;

[tex]\rm y = a(x-h)^2 +k \\\\ y = a(x-60)^2 +40 \\\\ 0 = sA(120-60) +40\\\\ 0= a \times 3600 + 40 \\\\ 3600 a = -40 \\\\ a = - \farc{1}{90}[/tex]

Substitute the value as;

[tex]\rm y = - \frac{1}{90} (x-60)^2+40[/tex]

b)

The above equation  in the standard form is found as;

[tex]\rm y = \frac{-1}{90}(x^2 +3600 -120 x )+40 \\\\ y =- \frac{1}{90}(x^2 -40 + \frac{4}{3}x +40 \\\\ y = \frac{-1}{90} x^2 + \frac{4}{3}x[/tex]

c)The domain and range of the quadratic function with the context provided will be [0,120] and [0,40] respectively.

Hence, the functions that represent the flight of the clay disc in the factored form will be,[tex]\rm y = - \frac{1}{90} (x-60)^2+40[/tex]

To learn more about the function, refer to:

https://brainly.com/question/5245372

#SPJ1

The number of red car altogether is 34

The number of blue cars altogether is 36

The  number of silver car altogether 70

The car manufacturer has parked some cars in 2 car parks .

The first car park has 60 cars.

In the ratio 1 :2:3

Therefore,

red car = 1 / 6 × 60 = 10 cars

blue car = 2 / 6 × 60 = 20 cars

Silver car = 60 - 30 = 30 cars

The second car park has 80 cars.

The ratio are

In the ratio 3:2 5

Therefore,

red cars = 3 / 10 ×80 = 24

blue cars = 2 / 10 × 80 = 16

silver cars = 5 / 10 × 80 = 40

Therefore,

The number of red car altogether is 24 + 10 = 34 red car

The number of blue cars altogether is 20 + 16 = 36 blue cars

The  number of silver car altogether is 30 + 40 = 70 silver cars

learn more on ratio here: https://brainly.com/question/12754973

#SPJ1

Step-by-step explanation:

tan x = sin x / cos x

[tex]tan \: x \: = \frac{ \frac{7}{15} }{ \frac{4 \sqrt{11} }{15} } = \frac{7}{4 \sqrt{11} } [/tex]

2534+?  but its not that clear cant understand it

Answer:

1:24pm

Step-by-step explanation:

Couple of ways to solve this. Here is one method
Convert all times to minutes and find the total number of minutes they spent on all 3 activities. Then convert to hours and minutes and subtract from the end time of 5;28 to get the start time of all activities which is also the start time of watching the movie (first activity)

So time spent:

Movie: 2 hours 18 minutes = 2 * 60 + 18 = 120 + 18 = 138 minutes
Card game: 34 minutes
Soccer: 1 hour 12 minutes = 1 * 60 + 12 = 72 minutes

Total time spent = 138 + 34 + 72 = 244 minutes = 4 hours and 04 minutes

Subtract 4:04 from 5:28 to get 1:24pm

Check
Movie watch starts at 4:04, ends at 1:24 + 2:18 or 3:42pm
Card game starts at 3:42pm ends at 3:42+0:34 ==> 4:16pm
Soccer starts at 4:16pm ends at 4:16pm + 1:12 ==> 5;28pm

Damek can form 14 three-digit numbers from the given situation. Hence, only 14 possibilities.

There are five number cards on the table.

2- digit 1 card

1- digit 0 card

2- digit 2 card

There is a possibility of putting 1 or 2 in the hundredth place.

If 1 is put in the hundredth place then there are 3 possibilities for tenth place 1,0,2

If 1 is put there then there is a possibility of 2 numbers 0,2 in ones place

If 2 is put then there is a possibility of 3 numbers 0,1,2 in ones place

If 0 is put then there is a possibility of 2 numbers 1,2 in ones place.

So, there are 7=(2+3+2) possibilities that the hundredth place is filled by 1.

Similarly, there will be 7 possibilities that the hundredth place is filled by 2.

Hence, there are 14 possibilities as required by the problem.

So, the possibilities of 3-digit numbers are (given the number cannot start with 0) 14.

Learn more about permutation here-

brainly.com/question/1216161

#SPJ10

Answer: 4 : 2

Step-by-step explanation:

I am going to assume you want a ratio between number of tires to headlights which is

4 : 2

Answer: two congruent segments.

Step-by-step explanation:

idlk im not smart

An isosceles triangle is one with two equal-length sides. The value of l is 8 ft.

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

In the given image it can be observed except 140° angle, the other two angles are congruent to each other which means the triangle is an isosceles triangle.

As per the base angle theorem in an isosceles triangle the sides opposite to the congruent triangle are equal therefore, the length of side l will be 8 ft as well.

Hence, the value of l is 8 ft.

Learn more about Isosceles Triangle:

https://brainly.com/question/2456591

#SPJ1

Step-by-step explanation:

If a variables varies jointly, we can just divide it by the other variables in relation to it.

For example, since p variables jointly as q and square of r, then

[tex] \frac{p}{q {r}^{2} } = k[/tex]

where k is a constant

First, let find k. Substitute p= 200

q= 2, and r=3.

[tex] \frac{200}{2(3) {}^{2} } = k[/tex]

[tex] \frac{200}{18} = k[/tex]

[tex] \frac{100}{9} = k[/tex]

Now, since we know our constant, let find p.

[tex] \frac{p}{q {r}^{2} } = \frac{100}{9} [/tex]

Q is 5, and r is 2.

[tex] \frac{p}{5( {2}^{2}) } = \frac{100}{9} [/tex]

[tex] \frac{p}{20} = \frac{100}{9} [/tex]

[tex]p = \frac{2000}{9} [/tex]

The shape will have a surface area of 189.25 cm². There are two distinct pieces to the figure: a rectangle and a semicircle.

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.

The figure is divided into two parts one is a rectangle and the second is a semicircle.

Area of figure = Area of rectangle + Area of a semicircle

Area of figure = L × B + (πr²/2)

A = 10 cm × 15 cm + (3.14 ×(5)^2/2)

A= 189.25 cm²

Hence the area of the shape will be 189.25 cm²

To learn more about the area, refer to the link;

https://brainly.com/question/11952845

#SPJ1

The number of  students like physics more than mathematics is 15 , Option B is the correct answer.

A mathematical way of expressing quantity of a substance is called a Number.

Number of students in a school who like mathematics = 20

Number of students in a school who like physics = 35

number of students in a school who like only physics is 20

number of students who like only Mathematics is 5

the number of  students like physics more than mathematics is 20-5 = 15

Therefore Option B is the correct answer.

To know more about Number

https://brainly.com/question/17429689

#SPJ1

Answer:

After solving this question I got and 120 tokens

Answer:

huh

Step-by-step explanation:

what are you trying to figure out-