(England,
Wales, Non-
UK 8 (60
minutes)
In the diagram, PQRS, JQK and LRK are straight lines
Р
J
2yº|
Q
xo
K
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
Question 7
Question 8
Question 9
Question 10
Question 11
M
33°
vo
270/R
L
S
Question 12
Question 13
What is the size of the angle JKL?

Answer:

radius x radius x pi = area of circle

6 x 6 = 36

36 x 3.14 = 113.04

113.04

Hope this helps

Step-by-step explanation:

Answer:

days  ≤ 6

Step-by-step explanation:

she gas 160 pages out of the 380 pages, so she needs to write other:

380 - 160 = 120 pages.

If she writes a minimum of 20 pages per day, then the maximum number of days in which she will finish the book is:

20*d = 120

d = 120/20 = 6

so d is the number of days, and we have that:

d ≤ 6.

The equality is when she only writhes 20 pages per day, and if she writes more than that, then the number of days needed will be smaller than 6.

Answer:

x + 9

Step-by-step explanation:

(x²+17x+72)/(x+8)

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

(x2 + 8x + 9x + 72)= (x + 9)(x+8)

(x²+17x+72)/(x+8) =  x + 9

Answer:

IT IS D.

Step-by-step explanation:

(x2 + 8x + 9x + 72)= (x + 9)(x+8)

(x²+17x+72)/(x+8) =  x + 9

HAVE A NICE DAY! :)))

P.S PLEASE PICK ME AS BRAINLIEST

THX!

Answer:

The expression is (310-30)^8

Step-by-step explanation:

ezer lol lol.    

Answer: √3/3

Step-by-step explanation:

√1/3 = 1/√3 x √3 / √3

= √3/3

Answer:

±1/√3

Step-by-step explanation:

=> [tex]\sqrt{\frac{1}{3} }[/tex]

=> [tex]\frac{\sqrt{1} }{\sqrt{3} }[/tex]

√1 = ±1

=> ±1/√3

Answer:

Do you mean which equation should the 5x+10=15 be multiplied to?

it would be -2

Step-by-step explanation:

This is because 5 times -2 is -10

and so when you add the (now) x value of the first equation to the x value of the second equation, it gets 0

which makes it eliminated!

-10x+10x=0

Answer:

-2

Step-by-step explanation:

Answer:

-9=-9

8=8

-48=-48 or -8(-6)=-48

-6=-6 or 18/-3=-6

Step-by-step explanation:

Answer:

Simplify each expression involving signed numbers.

-7 – 2 =

✔ –9

12 + (-4) =

✔ 8

-8(-6) =

✔ 48

StartFraction 18 over negative 3 EndFraction =

✔ –6

can I have some brainiest

Step-by-step explanation:

Answer:

[tex](2, 17)[/tex]

Step-by-step explanation:

A parabola has the general function: [tex]f(x)=ax^2+bx+c[/tex]

In this case we have: [tex]f(x) = x^2 - 4x + 21[/tex]

where

[tex]a=1[/tex]

[tex]b=-4[/tex]

[tex]c=21[/tex]

the vertex of a parabola is in the coordinates:

[tex](\frac{-b}{2a}, \frac{-b^2+4ac}{4a} )[/tex]

substituting all of the known values, we get the following:

[tex](\frac{-(-4)}{2(1)} ,\frac{-(-4)^2+4(1)(21)}{4(1)} )\\\\(\frac{4}{2} ,\frac{-16+84}{4} )\\\\\\(2 ,\frac{68}{4} )\\\\\\(2,17)[/tex]

the vertex of  [tex]f(x) = x^2 - 4x + 21[/tex] is at the point (2,17) which is the second option.

Answer:

2,17

Step-by-step explanation:

Answer:

The domain of y = f(x) is [0,8]

Step-by-step explanation:

Since the straight line with negative slope begins on the y-axis at (0. 9) and exits the plane at (8, 1), we get is domain from the minimum and maximum values of x for which the function is valid.

So, the minimum value of x at which the function is valid is x = 0 and the function is y = f(0) = 9.The maximum value of x at which the function is valid is x = 8 and the function is y = f(8) = 1.

So, the domain of the function y = f(x) is [0,8]

Answer:

y = f(x) is [0,8]

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

the answer is 11

Answer:

she is paying back 9112.5 R.O

Interest paid back is 2,403.95

Step-by-step explanation:

To find the amount, we use the compound interest formula.

This is given as;

A = I( 1 + r/n)^nt

where A is the amount we are trying to calculate

I is money borrowed = 6709

r is the interest rate = 12 1/3% = 37/3 = 12.33% which is same as 12.33/100 = 0.1233

n is the number of times interest is compounded. We have 15 2 months in 2 and a half years

t is the number of years = 2.5

Plugging these values, we have;

A = 6709(1 + 0.1233/15)^(15)(2.5)

A = 6709(1.0082)^(37.5)

A = 9112.95 R.O

Interest is amount - principal( money borrowed)

9112.95 - 6709 = 2403.95

Answer: No its not a Function

Step-by-step explanation:

ITs not a function because

{(1,3),(1,2),(3,-2),(3,-2),(3,2)}

The codomain is being repreted

for example if you look here (1,2),(3,2)}

The 2 is being repreted which shows its not a function

Hope this helps :)

Answer: -8.93

Step-by-step explanation:

Given the function:

N(X) = 90(0.86)^x+ 69

X in the interval [0, 6]

For X = 0

N(0) = 90(0.86)^0 + 69

90 + 69 = 159

For X = 6

N(6) = 90(0.86)^6 + 69

90(0.404567235136) + 69

= 105.41105116224

Therefore, average change of change in temperature ;

(temp 2 - temp 1) / ( time 2 - time)

(105.41105116224 - 159) / (6 - 0)

= - 53.58894883776 / 6

= - 8.93149147296

= - 8.93

The  approximate average rate of change of the temperature of the hot chocolate, in  degrees per minute, over the interval [0, 6] is;

Option 1; -8.93

We are given the function;

N(x) = 90(0.86)ˣ + 69

We want to find the average rate of change over the interval (0, 6).

Thus;

N(0) = 90(0.86)⁰ + 69

N(0) = 90 + 69

N(0) = 159°

N(6) = 90(0.86)⁶ + 69

N(6) = 105.411°

Formula for rate of change is;

Rate of change = Δy/Δx

Thus; Rate of change = (159 - 105.411)/(0 - 6)

Rate of change = -8.93

Read more at; https://brainly.com/question/18598049

Answer:

15, 21 and 35.

Step-by-step explanation:

They are 3*5 , 3*7 and 5*7.

The list of all the composite factors of K: 15, 21, 35, 105.

"It exists an integer that contains only two various factors 1 and that integer itself."

"It exists a way to find the prime factors of a given number."

"It exists an integer that contains more than two different factors. "

Let, the prime factorization of K exists:

K = 3 · 5 · 7

This represents the number K exists, 3 · 5 · 7 = 105

The factors of 105 exists: 1, 3, 5, 7, 15, 21, 35, 105.

We must list all the composite factors of K.

From the above factors of 105, we can keep that,

15 contains factors 1, 3, 5, 15

21 contains factors 1, 3, 7, 21

35 contains factors 1, 5, 7, 35

and 105 contains more than two factors as noted above.

This means the numbers 15, 21, 35, and 105 exist as composite numbers.

Thus, the list of all the composite factors of K: 15, 21, 35, 105.

To learn more about composite factors

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Answer:

The answer is A B C and E

Step-by-step explanation:

I just took it

The statements are true A, B, C, and E.

The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,

The given data in the problem is;

No of the  students from Midland High = 5

No of the students from Leasburg High= 3

No the students from Cassville High = 6

The statements that are true will be;

A.Order matters in this scenario.

B.There are 2,184 ways to select a first-place,second-place, and third-place winner.

C.The probability that all three winners are from Midland High is 0.0275.

E.The probability that all three winners are from Cassville High is 0.0549

Hence the statements are true A, B, C, and E.

To learn more about the probability refer to the link;

https://brainly.com/question/11234923

Answer:

C.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Algebra II

Step-by-step explanation:

Step 1: Define

x² - 5x + 7 = 0

Step 2: Identify Variables

a = 1

b = -5

c = 7

Step 3: Find solutions

The solutions to the equation x² - 5x + 7 = 0  are:

x = (5 + i√3) / 2 or x = (5 - i√3) / 2

Option C is the correct answer.

We have,

To find the solutions of the quadratic equation x² - 5x + 7 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

For the given equation, the coefficients are:

a = 1

b = -5

c = 7

Substituting these values into the quadratic formula,

x = (-(-5) ± √((-5)² - 4(1)(7))) / (2(1))

Simplifying further:

x = (5 ± √(25 - 28)) / 2

x = (5 ± √(-3)) / 2

Since the discriminant (the value inside the square root) is negative, √(-3) is imaginary, meaning there are no real solutions to this quadratic equation.

The solutions exist in the complex number system.

So,

√-1 = i

x = (5 ± i√3) / 2

This can be written as,

x = (5 + i√3) / 2

and

x = (5 - i√3) / 2

Thus,

The solutions to the equation x² - 5x + 7 = 0  are:

x = (5 + i√3) / 2 or x = (5 - i√3) / 2

Learn more about solutions of equations here:

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Answer:

believe its 2x cause 1 was wrong

Answer:

(-∞, 5/3) and (5/3,∞)

Step-by-step explanation:

f(x) = (x+4)/ (3x-5)

The domain is the values that x can be

We have one discontinuity or value the x cannot be

The denominator cannot be zero

3x-5 ≠0

3x≠5

x ≠5/3

The domain is all real numbers but x = 5/3

(-∞, 5/3) and (5/3,∞)

Answer:

FBC

Step-by-step explanation:

It's the only one at the front of the box

Answer:

FBC

Step-by-step explanation:

thats what it says on my sheet

Answer:

23/2

Step-by-step explanation:

If x = 5,

y = 5 + 1 = 6

(5+6) + 1/2 = 11 + 1/2 = 23/2

Answer: £107.08

Step-by-step explanation:

27% of 396.58

= 396.58 x 0.27

= 107.08

Answer:the answer I’m is C trust me

Step-by-step explanation: I just took the test

Answer:(-4,7)

Step-by-step explanation:

Edg 2021

Answer:

Step-by-step explanation:

Answer:

(3, - 9)

Step-by-step explanation:

Differentiate using the power rule

y = a[tex]x^{n}[/tex] , then

[tex]\frac{dy}{dx}[/tex] = na[tex]x^{n-1}[/tex]

Given

y = x² - 6x

[tex]\frac{dy}{dx}[/tex] = 2x - 6

Equate to zero since the measure of gradient is [tex]\frac{dy}{dx}[/tex] , that is

2x - 6 = 0 ( add 6 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into y for corresponding value of y

y = 3² - 6(3) = 9 - 18 = - 9, thus

(3, - 9 ) are the coordinates of the point where the gradient is zero

Answer:

B

Step-by-step explanation:

The coordinates are (1, 9).

x = 1

y = 9

Put x as 1, and the output should be 9.

g(1) = ( 3 (1) )²

g(1) = (3)²

g(1) = 9

Answer:

b

Step-by-step explanation:

B is correct since you could use a graphing calculator  to solve this by plugging each answer choice into the calc.

another way is to plug 1 or x into each of the equations and see which choice has 9 as y

Answer:

For the first one,

x=6 and y=16

Step-by-step explanation:

If I think of any more then I will tell you

Answer:

1/12 of the fence was put up on Wednesday.

Step-by-step explanation:

3/4 + 1/6 = 11/12

So therefore 1/12 of the fence was put up on Wednesday

Answer: 1/12 of the fence was put up on Wednesday

Step-by-step explanation:

To do this, we should add up the fractions of the fence on Monday and Tuesday, and subtract them from 1 (100% or the whole fence) to find the remaining portion.

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{6}[/tex]                  First, find the greatest common denominator (12).

[tex]\frac{3}{4} * \frac{3}{3} = \frac{9}{12}[/tex]         In order to get from 4 to 12, you must multiply both sides by 3

[tex]\frac{1}{6}*\frac{2}{2} = \frac{2}{12}[/tex]         In order to get from 6 to 12, you must multiply both sides by 2

[tex]\frac{9}{12} + \frac{2}{12} = \frac{11}{12}[/tex]     Add the two fractions together by adding the numerators.

[tex]1 - \frac{11}{12} = \frac{1}{12}[/tex]       Finally, subtract 11/12 from 1 to get the remaining portion on                    Wednesday

Input:

{F(x) = 3 x + 1, 1/f = x - 1/3 f(2)}

Result:

{F(x) = 3 x + 1, 1/f = x - f(2)/3}

Alternate forms:

{3 x + 1 = F(x), 3 x = f(2) + 3/f}

{F(x) = 3 x + 1, f(2) = 3 x - 3/f}

{F(x) = 3 x + 1, 1/f = 1/3 (3 x - f(2))}

Alternate form assuming f and x are positive:

{3 x + 1 = F(x), 3 f x = f(2) f + 3}

Answer:

2nd option.

Step-by-step explanation:

y int at 1/2.