Workers in an office of 40 staff were asked
their favourite type of take-away.
The results are summarised in the table.
Take-away
Pizza
Curry
Fish & chips
Kebab
Other
Frequency
9
6
11
10
4
Angle
a
b
с
d
e
What fraction of a person is one degree?
Give your answer in its simplest form.

The average rate of change of the function is -35/16.

We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ 8.

so

at x₁ = -8, f(x₁) = f(-8) = 30

at x₂ = 8, f(x₂) = f(8) = -5

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]  

                     = [f(8) - f(-8) ] / [8-(-8)]

                     = [-5 - (30)] / [16]

                     = [-35] / 16

Therefore, the average rate of change of the function is -35/16.

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Answer:

Step-by-step explanation:

Simplify 14(1−23)2+13

Remember PEMDAS

14 * (1 - 23) * 2 + 13 =

14 * (-44) * 2 + 13 =

-308 * 2 + 13 =

-616 + 13 =

-603

since we were given the key ( how it should be sort out or used )

then we get all the numbers out which are:

21, 23, 30, 32, 32, 35, 43, 44, 46, 48, 49, 49, 50, 52, 52, 53, 55

then we go ahead to answer the questions:

a) Range = highest number minus Lowest number

55 - 21 = 34

b) 17 (by counting all individual ages ).

c) Median = the middle age

(but before that, we must arrange the ages either a cording to their sizes either from biggest to smallest (descending order) or from smallest to biggest (ascending order)

so we arrange in ascending order but the numbers are already arranged so we don't have to stress ourselves:

Median = 46 (the number in the middle ).

Hope you ace your tests, Good luck ✅.

Answer:

(A). y - 4 = 3 ( x - 1 )

Step-by-step explanation:

Slope "m" and ( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) ⇒

Slope-point form of linear equation is y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

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

m = 3 and point with coordinates ( 1 , 4 )

y - 4 = 3 ( x - 1 )

Answer:

The answer is 160

Step-by-step explanation:

Comment

There really should be no answer to this. It sort of destroys the meaning of equality. However, you might be working in different bases. I'll assume that, but the base will be a fraction, which brings up other problems.

Solution

You have 5 17s there. So you will need five 32s. 5 * 32 = 160

The answer is 160

Answer:

A) -1≤ y ≤1

Step-by-step explanation:

If you go on a graphing site and graph out y = sin(x), you will see that it is a wave that forever oscillates between 1 and -1.

(I've attached an image below for more information on sin graphs):

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:A. \:\: 10[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: {x}^{2} + \cfrac{1}{ {x}^{2} } = 102[/tex]

[ subtract 2 from both sides ]

[tex]\qquad \tt \rightarrow \: {x}^{2} + \cfrac{1}{ {x}^{2} } - 2 = 102 - 2[/tex]

[tex]\qquad \tt \rightarrow \: {x}^{2} + \cfrac{1}{ {x}^{2} } - \bigg( 2 \sdot x \sdot \cfrac{1}{x} \bigg)= 100[/tex]

[ 2 can written like that, as they cancel out each other ]

Apply Identity [ a² + b² -2ab = (a - b)² ]

[tex]\qquad \tt \rightarrow \: \bigg (x - \cfrac{1}{x} \bigg) {}^{2} = 100[/tex]

[tex]\qquad \tt \rightarrow \: x - \cfrac{1}{x} {}^{} = \sqrt{100}[/tex]

[tex]\qquad \tt \rightarrow \: x - \cfrac{1}{x} {}^{} = 10[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

Step-by-step explanation:do i know u

Answer:

x= 5.8125

Step-by-step explanation:

Given: [tex]\frac{12x-7}{4} =\frac{5x+18}{3}[/tex]

Since we have one fraction equal to another fraction, we can cross multiply.

(12x -7)(3)= 4(5x +18)

Expand:

36x -21= 20x +72

Bring all the x terms to one side, constant to the other:

36x -20x= 72 +21

Simplify:

16x= 93

Divide both sides by 16:

[tex]x= \frac{93}{16}[/tex]

x= 5.8125

Additional:

Here is a similar question which you may wish to check out

Answer:

Step-by-step explanation:

Wrong

m∠R > m∠T

Correct

m∠S + m∠T < 90°

m∠S = m∠T

m∠R > m∠S

m∠S > m∠T

Answer:

Correct Answers:

m∠R > 90°

m∠S + m∠T < 90°

m∠R > m∠T

m∠R > m∠S

Wrong Answers:

m∠S = m∠T

m∠S > m∠T

Step-by-step explanation:

Finished on assignment. Found error is last response! Updated 7/2022

Answer: The answer is

x=   -3

y=    3

If the statement is "The difference of four times a number and seven is ten times the number." then an algebraic equation is 4x-7= 10+x and the solution is -7/6.

Given the statement "The difference of four times a number and seven is ten times the number." We have to translate the statement in an algebraic equation and then solve it.

Let, the number be x.

This difference of four times a number and seven is 4x-7 and ten times the number is 10x

According to the question, the equation is,4x-7= 10x

4x-7=10x

6x=-7

x=-7/6

x=-7/6

Hence the value of the x is -7/6.

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The solution will be the point of intersection of the two lines. The solution to the system is (1.1, 1.3)

Inequalities are expression not separated by an equal sign. Given the following inequalities

x+2y<4

3x-y >2

They are both written in standard form. The first line will be a dashed line and shaded below the graph while the second line will be a dashed line and shaded above.

The solution will be the point of intersection of the two lines as attached

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Answer:

Graph D is the correct one.

Step-by-step explanation:

Answer:

D)

Step-by-step explanation:

Answer:

Here's your answer guy

Step-by-step explanation:

a)cat

b)8

c)6....

Answer: The Actual area of the dining room is 252 square feet.

Explanation:

How to Find the Actual Area Using Scale?

Given that the area of the house on a blueprint = is 7 square inches.

The scale of the blueprint = is 1 inch: 6 feet.

Therefore, we would have the following proportion:

The area on the blueprint/actual area = square of the scale

7/actual area = 1²/6²

7/actual area = 1/36

Actual area = (7)(36)

Actual area = 252 square feet.

Answer:

8/21

Step-by-step explanation:

17/21 - (2/7 + 1/7)

= 17/21 - ( 3/7)

= 17/21 - (3×3/7×3)

= 17/21 - 9/21

= 8/21

Answer:

34800

Step-by-step explanation:

As, the nearest hundred to 766 is 800.

Answer:

i's 20 because it seems that it is the most successful

The rotations which will map this figure itself are 60°, 120°, and 180°, and these values are given in option i.e. (a) ii, iii, and iv.

We have,

A figure which is on a straight line i.e 180°.

Now,

Find the rotations which it will make,

When a person or figure rotates completely i.e. to reach to its original position or shape it makes an angle of 360°.

So,

In the same way;

After rotaions of this figure to reach it to its original position it has to make an angle of 360°.

So,

That means,

First this figure will make a rotation of 60°.

Then it will make a rotation of 120°.

Then it will make a rotation of 180°.

i.e.

The sum of these angles = 60° + 120° + 180° = 360°.

So,

We have to choose that option, in which the sum of angles is 360°.

i.e.

Option 1. ii, iii, and iv.

Therefore, the rotations which will map this figure itself are 60°, 120°, and 180° and these values are given in option i.e. (a) ii, iii, and iv.

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The coefficient of the equation's independent variable would correspond to the: variable operating cost per delivery.

Variable operating cost can be defined as those cost that varies due to changes in a company or an organization day to day operating activity.

Delivery cost is an example of variables cost because cost of delivery a product or goods depends on the volume or units of the goods.

Therefore the coefficient of the equation's independent variable would correspond to the: variable operating cost per delivery.

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Answer: A. h(x) = 1/4x - 2

Step-by-step explanation:

f(x) = 4x + 8

find the inverse...

A.

[tex]h(x) = \frac{1}{4} x-2[/tex]

[tex]f(x) = 4(\frac{1}{4} x-2)+8[/tex]

[tex]f(x)=x-8+8[/tex]

[tex]f(x)=x[/tex]  

[tex]h(x) = \frac{1}{4} (4x+8)-2[/tex]

[tex]h(x)=x+2-2[/tex]

[tex]h(x)=x[/tex]

Since they both come out to 'x', they are inverses of each other.

f(x) = 4x + 8 and h(x) = 1/4x - 2 are inverses

Answer:6.76 cm2

Step-by-step explanation:

You have multiply 2.6 by 2.6 and then you have to square the cm so it will be 6.76 cm2

Answer: A. 6.76 [tex]cm^2[/tex]

Step-by-step explanation:

Area is just length times width.

The length is 2.6 cm and the width is 2.6 cm, so just multiply the two.

2.6 x 2.6 = 6.76 [tex]cm^2[/tex]

Make sure you don't forget the squared in questions that ask for area.

The respective missing proofs are; Alternate interior; Transitive property; Converse alternate interior angles theore

We are given that;

∠T ≅ ∠V and ST || UV

From images seen online, the first missing proof is Alternate Interior angles because they are formed when a transversal intersects two coplanar lines.

The second missing proof is Transitive property because angles are congruent to the same angle.

The last missing proof is  Converse alternate interior angles theorem

because two lines are intersected by a transversal forming congruent alternate interior angles, then the lines are parallel.

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Answer:

Given: ∠T ≅ ∠V; ST || UV

Prove: TU || VW

4 connected lines are shown. A line from point S goes slightly down and to the left to point T to form S T. A line from point T goes slightly down and to the right to point U to form T U. A line from point U goes slightly down and to the left to point V to form U T. A line goes slightly down and to the right to point W to form point W.

Complete the two-column proof.

♣ =

✔ alternate interior angles theorem

♦ =

✔ transitive property

♠ =

✔ converse alternate interior angles theorem

Step-by-step explanation:

Answer:

5.5x + 9

Step-by-step explanation:

0.3x plus 24, 5x, and 0.2x minus 15

Expression:

This means that,

0.3x + 24 + 5x + 0.2x - 15

We know the perimeter of the triangle is,

Where a , b , c refers to the sides of that triangle.

So Just add them up:

Hence,last choice is accurate.

Answer:

f(a+2)=3a+11/a+2

Step-by-step explanation:

The numerical length of GH is 20.

Given, FH=4x+8, FG=x and GH=5x.

We need to determine the numerical length of GH.

In geometry, a line segment is a part of a line that is bounded by two distinct end points and contains every point on the line that is between its endpoints.

Given Point G is on the line segment FH, then FG + GH = FH.

Now, substitute the given values into the formula as shown:

x + 5x = 4x + 8

6x = 4x + 8

6x - 4x = 8

2x = 8

x=4

To get the length of GH substitute x=4 for 5x

That is, GH = 5(4)= 20

Hence, the numerical length of GH is 20.

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[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:False [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: y + 15 = 30[/tex]

[ subtract 15 on both sides ]

[tex]\qquad \tt \rightarrow \: y + 15 - 15 = 30 - 15[/tex]

[tex]\qquad \tt \rightarrow \: y = 15[/tex]

Here, actual value of y is not the same as it is in statement, so the statement is wrong.

[tex]\huge\underline{ Answer -}[/tex]

Given ,

[tex]\boxed{p = \frac{f}{a} } \\ [/tex]

where ,

the initial values of a and f are -

a = 70

a = 20

[tex]\therefore \: f = 80 \\ a = 30[/tex]

Then ,

[tex]p = \frac{f}{a} \\ \\ \implies \: p = \cancel{\frac{80}{30} } \\ \\ \implies \: p = \frac{8}{3} = 2.67[/tex]

hope helpful ~