Which inequality is shown on the number line below? ( the answers are in one image and the number line is shown in the other image) Please include ALL work!

Answer:

Science students

When you find the average both plots using median, mean, or interquartile range, you will find that the score for the science students will always be greater than the score of the mathematics students. This is because none of the mathematics students scored higher than the science students, so the mean will always be greater.

MATHEMATICS :

Plot interval = 30 to 50

MEAN :

(34*2) + (40*2) + (32*1) + (33*1) + (35*1) + (37*1) + (39*1) = 324

Sample size, n = (2 + 2 + 1 + 1 + 1 + 1 + 1) = 9

Mean = 324 / 9 = 36

BOTTOM :

SCIENCE :

MEAN : (43*2)+(46*2)+(49*2)+(41*1)+(42*1)+(47*1) =

406

SAMPLE SIZE = (2 + 2 + 2 + 1 +1 +1) = 9

406 / 9 = 45.111

Step-by-step explanation: hope this helps

Area of a quarter of circle

A = 1/4 * π * R²

A = 1/4 * π * 12²

A = 36 * π cm²

Perimeter of a quarter of circle

P = 1/4 * 2 * π * R²

P = 1/4 * 2 * π * 12²

P = 72 * π cm

Area of a right triangle

A = b * h / 2

A = 12 * 12 / 2

A = 72 cm²

Length of hypotenuse

L = 12√2 cm

Area of blue

A = 36 * π - 72

Perimeter of blue

Hope it helps

xxx

Answer:

x = 13

RQ = 160°

Step-by-step explanation:

Inscribed angles are half the intercepted arc angle.

5x + 15 = ½ (RQ)

RQ = 10x + 30

Arc angles add up to 360°.

10x + 30 + 9x + 17 + 6x − 12 = 360

25x + 35 = 360

25x = 325

x = 13

Therefore, RQ = 160°.

Answer:

see explanation

Step-by-step explanation:

f(g(2)) = f(0) = -2

g(f(1)) = g(0) = 0

Answer:

The correct answers for both of them is -2 and 0.

Step-by-step explanation:

I)

[tex](f\circ g)(2)=f(g(2))[/tex]

From the red graph, we can see that g(2) is 0.

Therefore, f(g(2)) is equal to f(0).

And from the blue graph, we can see that f(0) is -2.

Therefore:

[tex](f\circ g)(2)=-2[/tex]

II)

[tex](g\circ f)(1)=g(f(1))[/tex]

From the blue graph, we can see that f(1) is 0.

Therefore, g(f(1)) is equal to g(0).

And from the red graph, g(0) is 0.

Therefore:

[tex](g\circ f)(1)=0[/tex]

So, you got one correct. Nicely done!

The Range of f(x) → Range ∈ [- 4, ∞).

We have a graph of a function f(x) given.

We have to determine the range of f(x).

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

According to the question -

We can see that the function is defined for all values of x (assuming that the graph will continue after the arrows at the top). Hence, the domain of f(x) will be set of all real numbers.

Now, the graph curves back after reaching a minimum value of  -4. Therefore, the set of all possible values f(x) takes belongs to the set

[-4, ∞).

Hence, the Range of f(x) → Range ∈ [- 4, ∞)

To solve more questions on Domain and Range, visit the link below-

https://brainly.com/question/27242650

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[tex] \huge{ \bold{ \bigstar \: pythagoras \bigstar}}[/tex]

Pythagoras :

[tex] {10}^{2} = {x}^{2} + {x}^{2} [/tex]

[tex]100 = 2{x}^{2}[/tex]

[tex]100 \div 2 = {x}^{2} [/tex]

[tex]50 = {x}^{2} [/tex]

[tex]x = \sqrt{50} [/tex]

[tex]x = \sqrt{25 \times 2} [/tex]

[tex] \red{x = 5 \sqrt{2} }[/tex]

Answer:

Step-by-step explanation:

Compare this to a similar figure with hypotenuse √2 and leg lengths all 1.

Write and solve an equation of ratios, as follows:

  x        10

------ = ------

  1        √2

              10√2

'then x = --------  =  5√2

                  2

Answer:

I think DFG= 82 (BEING ALTERNATIVE ANGLE)

Answer:

20 and 1/4.

Step-by-step explanation:

9x^2 * y^(-2), for x = -3 and y = 2.

9(-3)^2 * 2^(-2)

= 9 * 9 * (1/4)

= 81 * 1/4

= 81 / 4

= 20.25

= 20 and 1/4.

Hope this helps!

Answer:

Step-by-step explanation:

Let's fill the values in.

9(-3)*2(2)*-2

Using PEMDAS, we would first multiply the two numbers where x and y used to be.

-27 * 4 * -2

Now we would finish multiplying this.

216.

Hope this helps!! <3

Answer:

Only A is divisible by 24.

Step-by-step explanation:

A number is divisible by 24 if it's divisible by both 3 and 8.

Numbers are divisible by 3 if all their digits add to a multiple of 3, and numbers are divisible by 8 if the last 3 digits are divisible by 8.

Let's look at A, 13944. The numbers add up to [tex]1+3+9+4+4=21[/tex], which is divisible by 3.

944 is divisible by 8, and it makes 118.

So A works.

B is 15746.

[tex]1+5+7+4+6=23[/tex], so this won't work as 23 isn't divisible by 3.

C is 15966.

[tex]1+5+9+6+6=27\div3=9[/tex], so this works for 3 but let's check 8.

[tex]966\div8=120.75[/tex] so it's not divisible by 8, therefore not divisible by 24.

D is 16012.

[tex]1+6+0+1+2=10[/tex] and 10 isn't divisible by 3, so it doesn't work.

Hope this helped!

Answer:

30 degrees

Step-by-step explanation:

Answer:

30°

Step-by-step explanation:

4560° ÷360°= 12.667 (5 s.f.)

This means that the angle 4560° goes around from quadrant I to quadrant IV 12 times, before coming back to quadrant I. The 13th round does not reach quadrant IV.

So, let's find the angle covered after the 12 full rounds.

12 ×360°= 4320°

remaining angle left

= 4560° -4320°

= 240°

See the attached picture to see where 240° will lie in the quadrants. It lies in quadrant III and its reference angle is the red coloured angle in the picture.

Reference angle

= 270° -240°

= 30°

You are told 2/9 = 16

Let total number of batteries = x

So you now have 2/9x = 16

To find x divide both sides by 2/9

X = 72 total batteries

Awnser

72

i dunno how to explain i did it in my head

Answer:

-2 < x - 1 < 0

Step-by-step explanation:

2. -2 < x - 1 < 0

Answer:  see proof below

Step-by-step explanation:

Use the following Double Angle identity: cos 2A = 2cos²A - 1

We are going to find one factor at a time:

2 cos16A + 1 = (2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1)

                              ↓                 ↓                  ↓                 ↓

                                factor last              factor 2nd    factor 1st

Proof LHS → RHS:

Given:        2 cos16A + 1

                  let α = 8A, then 2·cos2α + 1

Identity:     2(2cos²α - 1) + 1

Distribute:  4cos²α - 2 + 1

Simplify:    4cos²α - 1

Factor:     (2cosα - 1)(2cosα + 1)

Substitute: (2cos8A - 1)(2cos8A + 1)

                                       let β = 4A, then 2·cos2β + 1

Identity:                           2(2cos²β - 1) + 1

Distribute:                      4cos²β - 2 + 1

Simplify:                         4cos²β - 1

Factor:                           (2cosβ - 1)(2cosβ + 1)

Substitute:                     (2cos4A - 1)(2cos4A + 1)

                                                           let Ф = 4A, then 2·cos2Ф + 1  

Identity:                                               2(2cos²Ф - 1) + 1

Distribute:                                          4cos²Ф - 2 + 1

Simplify:                                             4cos²Ф - 1

Factor:                                               (2cosФ - 1)(2cosФ + 1)

Substitute:                                        (2cos2A - 1)(2cos2A + 1)      

(2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1) = (2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1)   [tex]\checkmark[/tex]

Answer:Use the following Double Angle identity: cos 2A = 2cos²A - 1

We are going to find one factor at a time:

2 cos16A + 1 = (2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1)

Step-by-step explanation:

Answer: 4.5x-100 > 125

Step-by-step explanation: Each candle costs $4.50, which can be simplified to 4.5. To determine how much they will make from the candles, you want to multiply the cost of the candles (4.5) by how many candles are sold (x), and this is where the 4.5x comes from. We subtract 100, because that is how much they spent on the candles they are selling (profit means how much you make after expenses). Since they're trying to make MORE THAN $125 in profit, we use the > sign.

Answer:

So we know that they spend $100 on the candles. In order to make a $125 profit, they must sell $225 worth of candles. Each candle sells for $4.50, so: So we know that they spend $100 on the candles. In order to make a $125 profit, they must sell $225 worth of candles. Each candle sells for $4.50, so:

4.5x > 225 is the inequality for that. It just means $4.50 times the number of candles has to be more than the $225 we need. To simplify it, just divide both sided by 4.5:

x > 50

They have to sell more than 50 candles.

Answer:

x/2 - x/3 = 1/4 + 1/5

(3x-2x)/6 = (5+4)/20

3x-2x = (9/20)*6

x = 54/20

x = 2.7

Answer:

x = 2.7  or 27/10.

Step-by-step explanation:

x/2 - 1/5 = x/3 + 1/4

Multiply through by the LCD of 2, 5, 3 and 4 which is 60:

30x - 12 = 20x + 15

10x = 27

x = 2.7

Answer:

The correct answer is;

ΔGIT≅ ΔNIA by Side Angle Side (SAS) rule of congruency

Step-by-step explanation:

The given information are;

The point of intersection of GA ∩ TN = I

Segment TI is congruent to segment NI (Given)

Segment GI is congruent to segment IA (Given)

Angle ∠GIT is congruent to angle ∠AIN (Vertically opposite angles)

Therefore, we have;

Triangle, ΔGIT is congruent to triangle ΔNIA (Side Angle Side (SAS) rule of congruency)

Two triangles are said to be congruent by the Side Angle Side (SAS) rule of congruency,  when two of the sides and the included angle (the angle in between the two sides) of one of the triangle are equal to two sides and the included angle of the other triangle.

Therefore, the correct answer is ΔGIT≅ ΔNIA by Side Angle Side (SAS) rule of congruency

Answer:

△GIT≅△AIN

By Rule: SAS

Answer:

The last answer or Distance a number is from zero

Step-by-step explanation:

It's this answer because absolute value is just how far a number is from zero for example | -1 | is equal to 1 because -1 is 1 away from zero. Hope this helps :)

Answer:

The last answer or Distance a number is from zero i think i dont know

Step-by-step explanation:

Answer:

The answer is "[tex]\bold{\frac{x^{'}^2}{17}-\frac{y^{'}^2}{31}=1}[/tex]"

Step-by-step explanation:

In the given question there is some mistyping error if the given value is this. so, its solution can be defined as follows:

[tex]19x^2 + 24\sqrt{3} xy - 5y^2 - 527 = 0...................(1) \\\\ \theta = 30^{\circ}[/tex]

Formula:

[tex]\bold{x=x'\cos \theta -y' \sin \theta}[/tex]            [tex]_{where} \ \ \ \ \theta =30[/tex]

  [tex]=x' \cos 30- y' \sin 30\\\\ =x' \frac{\sqrt{3}}{2}- y' \frac{1}{2}\\\\ =\frac{1}{2}(x' \sqrt{3}- y')....(a)\\\\[/tex]          

[tex]\bold{y=x'\sin \theta +y' \cos \theta}[/tex]            [tex]_{where} \ \ \ \ \theta =30[/tex]

  [tex]=x' \sin 30+y' \cos 30\\\\ =x' \frac{1}{2}+y' \frac{\sqrt{3}}{2}\\\\ =\frac{1}{2}(x'+ y'\sqrt{3})....(b)\\\\[/tex]          

put the equation (a) and equation (b) value in equation 1:

equation:

[tex]\to 19x^2 + 24\sqrt{3} xy - 5y^2 - 527 = 0...................(1) \\\\[/tex]

[tex]\to 19(\frac{1}{2}(x'\sqrt{3}- y'))^2+24\sqrt{3}(\frac{1}{2}(x'\sqrt{3}- y))( \frac{1}{2}(x'+y'\sqrt{3}))- 5(\frac{1}{2}(x'+y'\sqrt{3}))^2-527= 0\\[/tex]

[tex]\to \frac{19}{4}(3x^{'}^2+ y^{'}^{2}-2\sqrt{3}x' y')+6\sqrt{3}(\sqrt{3}x^{'}^{2}+2x'y'-\sqrt{3}y^{'}^2)-\frac{5}{4}(x^{'}^2+ 3y^{'}^{2}-2\sqrt{3}x' y')-527=0[/tex]

[tex]\to \frac{57}{4}x^{'}^2+\frac{19}{4}y^{'}^2-\frac{19 \sqrt{3}}{2}x^{'}^2y^{'}^2+18x^{'}^2+12\sqrt{3}x^{'}^2y^{'}^2-18y^{'}^2-\frac{5}{4}x^{'}^2-\frac{15}{4}y^{'}^2-\frac{5\sqrt{3}}{2}x^{'}^2y^{'}^2-527=0\\\\\to 31x^{'}^2-17y^{'}^2-527=0\\\\\to 31x^{'}^2-17y^{'}^2=527\\\\\to \frac{x^{'}^2}{17}-\frac{y^{'}^2}{31}=1\\\\[/tex]

Answer:The answer is The answer is ""

Step-by-step explanation:

15.

[tex]FH=2\cdot UH\\\\5x-7=2\cdot19\\\\5x=38+7\\\\5x=45\quad|:5\\\\\boxed{x=9}[/tex]

16.

[tex]KU=UM\\\\3x+3=4x-4\\\\4x-3x=3+4\\\\\boxed{x=7}[/tex]

Answer:

15) x=9 16) x=7

Step-by-step explanation:

19(2)=5x-7

38=5x-7

5x=38+7

5x=45

x=45/5

x=9

-----------------

3x+3=4x-4

3=4x-3x-4

3=x-4

x=3+4

x=7

Answer:

x + y ≥ 45

Step-by-step explanation:

This is because the total amount of minutes could be equal to 45, meaning your inequality sign has to have a line underneath it.

Additionally, x + y is greater than or equal to because the amount could be more than 45... therefore, 45 is not greater than x + y

Hi there! Hopefully this helps!

----------------------------------------------------------------------------------------------------------

If the total time he spent on both is 45 minutes or more, the answer is:

x + y ≥ 45.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hints for next time

(≥ Means greater than or equal to.)

(≤ Means less than or equal to)

(> Greater than)

(< Less than)

Answer:

Third grade secondary = 87 students

Step-by-step explanation:

First grade = 30/100 x 250 = 75 students

Second grade = 35/100 x 250 = 87.5 rounded off to 88 students. Because students can't be half thus can't be in decimal. So round off to the nearest whole number.

Third grade = 250 - 88 - 75 = 87 students

Answer:

third grade secondary = 87 students

Step-by-step explanation:

:T

Answer:

The first one

Step-by-step explanation:

This line is the best fit for the scatter plot because it touches a lot more points than the second

Answer:

The first line

Step-by-step explanation:

Hey there!

Well the first lie is a positive slope just like the dots whereas,

the second line is a negative slope.

Therefore, the first line is the line of best fit.

Hope this helps :)

Answer:

The first 5 digits help you get 14 (well a little over but still)

The first 7 digits get you 25

The first 14 = 68

The first 21 = 103

the first 31 = 150

Hope this helps!

The number of digits of π that it requires to make up the numbers 14, 25, 68, 103, and 150 would be:

The initial 5 digits would give 14

The initial 7 gives 25

The initial 14 gives 68

The initial 21 gives 103

and, the initial 31 goes 150.

Pi is described as the constant that is irrational, as well as, an ethereal constant derived from the Greek alphabet.

As per the question,

The initial 5 digits would give 14

The initial 7 gives 25

The initial 14 gives 68

The initial 21 gives 103

and, the initial 31 goes 150.

Learn more about "Digits" here:

brainly.com/question/6073713

Answer:

Rons costs less by 4 dollars

Step-by-step explanation:

Sams

y = 15x+25

x=3

y = 15*3+25

  = 45+25

  =70

Rons

Using averaging

for 3 hours  Add 2 and 4 hours and divide by 2

(49+ 83) / 2 = 132/2= 66

Rons costs less by

70-66 =4

Answer:

C

Step-by-step explanation:

It is c because you are adding. the 6 and o.

Answer:

Would be C.

Step-by-step explanation:

Just adding the 6 and the 0 basically.

Answer:

24

Step-by-step explanation:

(9 + x)/(20 + x) = 0.75

Solve that for x, the number of additional free throws taken.

9 + x = 15 + 0.75 x

0.25 x = 6

x=24

The required number of additional shots that were shot is 24.

Given that,
He had made only 9 of 20 shots. By the end of the season, he had made all the additional shots he had taken, thereby ending with a season record of 3:4.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Let the extra shots be x,
Now, according to the question,
Number of shots will be 9 + x and 20 + x,
And their ratio is 3:4
9 + x / 20 + x = 3 / 4
[9 + x] × 4 = 3 [20 + x]
36 + 4x = 60 + 3x
x = 60 - 36
x = 24

Thus, the required number of additional shots that were shot is 24.

Learn more about Ratio here:

brainly.com/question/13419413

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Step-by-step explanation:

-16t2 + 47t + 3 = 0

-16t2 + 48t - t + 3 = 0

-16t( t - 3) - 1 ( t - 3) = 0

-16t - 1 = 0. t - 3 = 0

-16t = 1 t = 3

t = 1/ - 16.