Find the value of x in the diagram below. x =

From the below graph option B is correct.

The graph of a function f is the set of all points in the plane of the form (x, f(x)).

It is also define as the graph of f to be the graph of the equation y = f(x).

Given,

Three different function for h(x)

[tex]\frac{1}{4}x -4 , x \leq 0\\ \\\frac{1}{3} x -3, 0 < x \leq 3\\\\\frac{1}{2} , x\geq 4[/tex]

From the above function,

x ≤ 0, the slope of the graph of h(x) is  [tex]\frac{1}{4}[/tex]

0 < x ≤ 3, the slope of the graph of h(x) is  [tex]\frac{1}{3}[/tex]

x ≥ 4, the slope of the graph of h(x) is  [tex]\frac{1}{2}[/tex]

As we progress from left to right,

The slope of h(x) increases  and the slope of the graph becomes steeper.

Therefore,

The graph starts at (4,0) and goes to the right.

Graph is missing in this question, So you might be referring to the one attached.

Learn more about function of graph here:https://brainly.com/question/27757761

#SPJ1

Answer:it’s option 2

Step-by-step explanation:

To find the number going to and from West is 165,000.

The number of bus passes from Southern services is 29,000.

East------------------- 80,000

North------------------- 124,000

South------------------- 61,000

West-------------------- 165,000

Total--------------------------- 430,000

To find the number going to and from West:

80,000 + 124,000 + 61,000 + x = 430,000

265,000 + x = 430,000

x = 430,000 - 265,000

x= 165,000.

Northern services-------------------- 43,000

Western services-------------------- 51,000

Eastern services---------------------- 35, 000

Southern services---------------------- 29,000

Total----------------------------------------------158,000

Let x be the unknown variable,

43,000 + 51,000 + 35,000 + x = 158,000

129,000 + x = 158,000

x= 158,000 - 129, 000

x= 29,0000

Read more about a frequency table here:

https://brainly.com/question/3712144

#SPJ1

A face of solid is given by

" Faces are defined as the flat surfaces of any object enclosed by its edges or sides . It is always 2-dimensional."

According to the question,

A face of a solid,

It is a correct answer.

It is a correct answer.

It is not a correct answer.

It is not a correct answer.

Hence, a face of solid is given by

Learn more about faces here

https://brainly.com/question/15974556

#SPJ3

Answer:

the second one

Step-by-step explanation:

Answer:

Need more info

Step-by-step explanation:

You're working with rates. It's relatively straight forward. Take miles per hour for instance. If you travel 60 miles in one hour, you're rate of speed is 60 miles per hour.

You haven't given any data in this example but the idea is the same. Let's say he transferred 10 songs in 5 minutes. That's means his rate is 10 songs per 5 minutes. You can change that to a fraction so it's easier to understand:

[tex]\frac{10 songs}{5minutes}[/tex]

Now just reduce the fraction and it becomes

[tex]\frac{2 songs}{1 minute}[/tex]

Also known as 2 songs per minute

Ivan's annual earnings for this bond is $45.00

A bond is a pledge, made by a borrower to pay a loan taken back to the lender with an interest.

Ivan's annual interest earning would be :

= $1,000 x 4.5 %

= $45 per year

Hence, Ivan's annual earnings for this bond is $45.00

Learn more about bonds here : https://brainly.com/question/1392006

#SPJ1

Answer:

8.5

Step-by-step explanation:

24x = 17 ×12

24×= 204

divide each side to get your awnser.

By solving a quadratic equation we will see that the egg will hit the ground after 1.58 seconds.

Here we know that the initial height of the egg is 40ft, so the equation for the height will be:

[tex]h(t) = -16*t^2 + 40[/tex]

The egg will hit the ground when h(t) = 0, so we need to solve the quadratic equation:

[tex]h(t) = -16*t^2 + 40 = 0\\\\16t^2 = 40\\\\t^2 = 40/16\\\\t = \sqrt{40/16} = 1.58[/tex]

This means that the egg will hit the ground after 1.58 seconds.

If you want to learn more about quadratic equations:

https://brainly.com/question/1214333

#SPJ1

Answer:

Angle of Elevation

If a person is looking up at an object, the angle of elevation is the angle between the horizontal line of sight and the object.  Angle of elevation problems can be solved by using trigonometry as the problem can be modeled as a right triangle.

The MIB agent is on the ground looking up at the alien at the top of the CN tower, and we need to find the angle he should shoot his laser gun.  Therefore, we need to find the angle of elevation.

Diagram attached, where [tex]x[/tex] is the angle of elevation.

To find the angle of elevation, use the tan trig ratio:

[tex]\tan(x)=\sf \dfrac{O}{A}[/tex]

where:

Given:

Substituting the given values into the formula and solving for x:

[tex]\implies \tan(x)=\sf \dfrac{553.3}{67}[/tex]

[tex]\implies x= \tan^{-1} \left(\sf \dfrac{553.3}{67}\right)[/tex]

[tex]\implies x=83.09557654...^{\circ}[/tex]

Therefore, the angle of elevation is 83°  (to the nearest degree).

Answer:

  B

Step-by-step explanation:

A box and whisker plot is a graphical representation of the 5-number summary of a data set. It shows the minimum, maximum, median, and the values of the 1st and 3rd quartiles. Here, you're asked to identify the data set having the same 5-number summary as that shown in the plot.

__

The minimum of the data set is shown by the end of the left "whisker." The plot shows a minimum value of 41. Choice C has a minimum of 40, so is not the data set we're looking for.

The maximum of the data set is shown by the end of the right whisker. The plot shows a maximum of 50, matching all of the answer choices shown.

The median of the data set is shown by the vertical line in the middle of the box. Here, the median of the data set is indicated as 44. This will be the middle value, or the average of the two middle values of the set of data.

These sets of data have 10 values, an even number, so the median is the average of the middle two.

Choices A and B have a middle pair of 43 and 45, which means their median is (43+45)/2 = 44. Choice D has a middle pair of 43 and 47, so a median of (43+47)/2 = 45. Choice D is not the data set we're looking for.

The 1st and 3rd quartiles of the data set are shown by the left and right ends of the box, respectively. They are indicated as being 43 and 48.

The median divides the data set into two parts. It is not considered to be a member of either part. The 1st quartile is the median of the lower (left) part. The 3rd quartile is the median of the upper (right) part.

Here, each part has 5 data values, so the quartile values are 3rd from the ends of the data set. In choice A, they are 43 and 49, not a match to the given plot. In choice B, they are 43 and 48, matching the values in the given box plot.

The data set in choice B could be represented by the box plot shown.

Answer: 729

Step-by-step explanation:

[tex]\frac{1}{3^{-2} * 3^{-4} * (-1)^{2} }[/tex]

3^-2 = 1/9

3^-4 = 1/81

(-1)^2 = 1

1/(1/9 * 1/81 * 1)

1/ 1/729 = 729

Answer:

[tex]\large{\boxed{\sf 2x+h-4}}[/tex]

Explanation:

f(x) = x² - 4x + 3

f(x + h) = (x + h)² - 4(x + h) + 3

Solving Steps:

[tex]\rightarrow \sf \dfrac{(x + h)^2 - 4(x + h) + 3 - (x^2 - 4x + 3)}{h}[/tex]

[tex]\rightarrow \sf \dfrac{x^2 + 2xh + h^2 - 4x -4h+3-x^2+4x-3}{h}[/tex]

[tex]\sf \rightarrow \dfrac{2xh+h^2-4h}{h}[/tex]

[tex]\rightarrow \sf 2x+h-4[/tex]

Put values

[tex]\\ \rm\Rrightarrow \dfrac{x^2+2xh+h^2-4x-4h+3-x^2+4x-3}{h}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{2xh+h^2-4h}{h}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{h(2x+h-4)}{h}[/tex]

[tex]\\ \rm\Rrightarrow 2x+h-4[/tex]

Answer:

by using pythagoras theorem

Step-by-step explanation:

the distance between sun and moon is hypoteneous

the distance between earth and sun is perpndicular

and distance between earth and moon is base

we can use,

tanx°=distance betwwen earth and sun/ distance betweenearth and moon

or,

sinx°= distance between earth and sun/ distance between sun and moon

we can use other formulas also same as above 2 examples

Hope ithelps

Answer:

The scientist can use trigonometry to figure out the distance between the Moon and Sun. More specifically, using sine (sin).

Step-by-step explanation:

Label the triangle first.

- x should be theta

- y would be opposite (o) as it is across/opposite from the side where x is

- the distance between the sun and moon would be hypotenuse (h), as it's opposite of the right angle.

The calculation that has o and h in it's formula is sine. The formula looks like :

Sin(Ф) = [tex]\frac{o}{h}[/tex]

To solve for the distance between the Sun and Moon, we plug it into the formula and solve

Sin(x) = [tex]\frac{d}{y}[/tex]

- where d is the distance between the Sun and Moon

hope this helps !! :D

The probability that a student is a female given that they have an A is; 2/7

From the given table, we see that;

Number of males that got A = 4

Number of males that did not get A = 8

Number of females that got A = 6

Number of females that did not get A = 3

The probability that a student is a female given that they have an A is;

P(Female|A) = 6/(4 + 8 + 6 + 3)

P(Female|A) = 6/21 = 2/7

Read more about Probability at; https://brainly.com/question/24756209

#SPJ1

The mean could be used to describe a data set by itself, while interquartile range would almost never be used to describe a data set by itself.

These are operations which are used to summarize certain characteristics a set of data has.

Mean and range deals with the full set of data while interquartile range measures just the middle half of the data and is denoted as option A.

Read more about Descriptive statistics here https://brainly.com/question/6990681

#SPJ1

Answer:

C

Step-by-step explanation:

the area (A) of the triangle is calculated as

A = [tex]\frac{1}{2}[/tex] product of 2 sides × sin ( angle between the 2 sides )

We are only given 1 side (AC) so require to find AB or BC using the Sine rule

the third angle B = 180° - (48 + 67)° = 180° - 115° = 65°

using the Sine rule to find AB

[tex]\frac{AB}{sin67}[/tex] = [tex]\frac{15}{sin65}[/tex] ( cross- multiply )

AB × sin65° = 15 × sin67° ( divide both sides by sin65° )

AB = [tex]\frac{15sin67}{sin65}[/tex]

Now

A = [tex]\frac{1}{2}[/tex] × AB × AC sin48°

   = [tex]\frac{1}{2}[/tex] × [tex]\frac{15sin67}{sin65}[/tex] × 15sin48°

  = [tex]\frac{15sin67}{2sin65}[/tex] × 15sin48° → C

Answer:

Anime is animation from japan

Step-by-step explanation:

there is a problem here. based on your textual description none of the 4 answer possibilities are right.

you said, one line starts with a closed (filled) point at -12 and going to the left (without end). a closed point means the point is included.

so, everything -12 and smaller.

that is a <= -12

the other line starts with a closed (filled) point at -5 and goes to the right without end.

this is a >= -5

so, if your textual description is right, you need an answer option

a <= -12 or a >= -5

FYI

the answer options with -a <= -12 don't make much sense, because that simply means a >= 12. and you don't have any line starting at plus 12 and going to the right.

The symbolic representation for this argument is that Jeri drew a polygon with exactly three sides.

A polygon is a plane figure with at least three straight sides and angles, typically five or more.

In this case, the symbolic representation for this argument is that Jeri drew a polygon with exactly three sides.

Learn more about polygon on:

https://brainly.com/question/1592456

#SPJ1

Answer:d

Step-by-step explanation:

I don’t know but I got it right:)

XD

Answer:

358 , 1790

Step-by-step explanation:

Answer: Transitive property of congruence

Answer:

[tex]\mathsf {x = 76}[/tex]

Step-by-step explanation:

The given pair of angles lie on a line, hence they are classified as linear angles. They possess the property by which their sum is equal to 180°.

[tex]\textsf {Solving :}[/tex]

[tex]\implies \mathsf {x + 17 + 87 = 180}[/tex]

[tex]\implies \mathsf {x + 104 = 180}[/tex]

[tex]\implies \mathsf {x = 180 - 104}[/tex]

[tex]\implies \mathsf {x = 76}[/tex]

Since the are of the first triangle is 12 cm², the area of the second triangle is 33.33 cm².

To answer the question, we need to know what similar triangles are

Similar triangles are triangles in which the ratio of their corresponding sides is constant.

Given that the corresponding sides of the two similar triangles are 3 cm and 5 cm respectively. Also, the area of the first triangle is 12 cm². We need to find the area of the second triangle.

Since the triangles are similar, we have that

(side of second triangle/side of first triangle)² = Area of second triangle/Area of first triangle

Area of second triangle = (side of second triangle/side of first triangle)² × Area of first triangle

= (5 cm/3 cm)² × 12 cm²

= 25/9 × 12 cm²

= 25/3 × 4 cm²

= 100 cm²/3

= 33.33 cm²

So, the area of the second triangle is 33.33 cm².

Learn more about similar triangles here:

https://brainly.com/question/21874065

#SPJ1

Answer:

x = 142

Step-by-step explanation:

The sum of the internal angles in a hexagon is 720°

2x° + 150° +56° + 140° +90° = 720

2x° + 436° = 720°

2x° = 720 - 436

x° = [tex]\frac{284}{2} =142[/tex]

Hope this helps

The relative frequencies for the given table are:

The relative frequency of a given element out of a set, is given by the quotient between the number of that element and the total number of the set.

Here we can see that the total number of moose is:

52 + 34 + 58 + 28 = 172

There are 52 male moose, then the relative frequency for male moose is:

M = 52/172 = 26/86 = 13/44

There are 34 female moose, then the relative frequency is:

F = 34/172 = 17/86

There are 58 adult moose, so the relative frequency is:

A = 58/172 = 29/86

There are 28 baby moose, so the relative frequency is:

B = 28/172 = 14/86 = 7/43

If you want to learn more about relative frequency:

https://brainly.com/question/3857836

#SPJ1

Answer:

2/

For all values of x,

f(x)=2x-3

and

a) Find fg(x).

Simplify and give your answer in the form ax² + b

b) Find gf(x).

Simplify and give your answer in the form ax² + bx + c

g(x) = x² + 1

Step-by-step explanation:

The rectangular coordinates will be (2.999, -0.1239)

The Cartesian Coordinate system is not sufficient to locate points in a plane , therefore some other systems like polar coordinates , spherical coordinates , cylindrical coordinate systems are used.

Polar coordinates are given in the question and we need to determine rectangular coordinates for the same.

The equations used to convert from polar coordinates to rectangular coordinates.

x=rcosθ

y=rsinθ

z=z

For the polar coordinates

(3-√2.37)

r = 3

[tex]\rm \theta \\[/tex] = -√2.37

x = 3cos (-√2.37)

x = 3 *0.999

x =2.999

y = 3 sin.(-√2.37)

y = 3*(-0.0413)

y = -0.1239

Therefore the rectangular coordinates will be (2.999, -0.1239)

To know more about Coordinate System

https://brainly.com/question/13498438

#SPJ1

The true statement for Chad graph is that:

A  coordinate plane is known to be a kind of  two-dimensional plane that is often created by two number lines of intersection.

Note that there is the horizontal number line known as  the x-axis and the  vertical number line also called the y-axis.

Looking at the question (Image attached), for every two offense, there is 4 defense.

So we can say that the proportion of  offense to defense is 1:2

Therefore, the correct  value or the graph is (1, 2), (2, 4), (3, 6), and (4, 8) as it doubles itself.

The true statement for Chad graph is that:

Therefore, option A is correct.

Learn more about Plane from

https://brainly.com/question/2644832

#SPJ1

Answer: A

Step-by-step explanation: I did the test and got it right