The table shows experimental values of variables x and y.

x 2 2.5 3 3.5

y 18.8 29.6 46.9 74.1


By plotting a suitable straight-line graph on a grid, show that x and y are related by the equation y=ab^x, where a and b are constants.



(4 marks) B) Find the value of a and b.

Answers

Answer 1
i don’t know the answer and that’s on god
Answer 2

Answer:1 (CIE 2012, s, paper 11, question 7)

The table shows values of variables

x

and

y

.

x

1

3

6

10

14

y

2.5

4.5

0

20

56

(i) By plotting a suitable straight line graph, show that

y

and

x

are related by the equation

y

=

A

x

+

B

x

2

,

where

A

and

B

are constants. [4]

(ii) Use your graph to find the value of

A

and of

B

.

[4]

2 (CIE 2012, s, paper 22, question 7)

The table shows experimental values of variables

x

and

y

.

x

5

30

150

400

y

8.9

21.9

48.9

80.6

(i) By plotting a suitable straight line graph, show that

y

and

x

are related by the equation

y

=

a

x

b

,

where

a

and

b

are constants. [4]

(ii) Use your graph to estimate the value of

a

and of

b

.

[4]

3 (CIE 2012, w, paper 11, question 10)

The table shows values of the variables

x

and

y

.

x

10

30

45

60

80

y

11.2

16

19.5

22.4

24.7

(i) Using the graph paper below, plot a suitable straight line graph to show that, for 10°

x

80°,

y

=

A

sin

x

+

B

,

where

A

and

B

are positive constants. [4]

(ii) Use your graph to find the value of

A

and of

B

.

[3]

(iii) Estimate the value of

y

when

x

=

50.

[2]

(iv) Estimate the value of

x

when

y

=

12.

[2]

4 (CIE 2012, w, paper 22, question 8)

Step-by-step explanation:


Related Questions

16m - (5 + 9m) which one is it

Answers

Answer:

B

Step-by-step explanation:

Answer:

B. 16m - 5 - 9m

Step-by-step explanation:

The "-" outside of the parentheses also can be interpreted as -1.

So multiply -1 with 5 and 9m within the parentheses.

That gets you 16m - 5 - 9m.

Points A,B and C are circle P
What is the M ACB?

Answers

I’m not sure try 280

35/k = 7/3 what does k equal

Answers

pretty sure its 15:)

PLS HELP !! I WILL MARK BRAINLIEST!!!

Question
.........
The number of bacteria in a Petri dish quadruples every hour. How many bacteria are in the dish after 5 hours if there were originally 10 bacteria?​

Answers

The correct answer is 10,240.
I think the answer is 10,240

geometry, god bless u 2

Answers

Answer:

x = 40

Step-by-step explanation:

 The sum of all the interior angles of a triangle is 180 degrees

So, 180-63-77 is your answer.

x = 40

Any help ?!?!?!?!?!??

Answers

Answer:

D)

Step-by-step explanation:

Use Pythagorean theorem,

Hypotenuse² = 16² + 8²

                      = 256 + 64

                     = 320

hypotenuse = √320 = √2*2*2*2*2*2*5 = 2*2*2√5 = 8√5

Csc Ф = Hypotenuse/opposite side

         [tex]= \frac{8\sqrt{5}}{8}\\\\=\sqrt{5}[/tex]

         

Plz it’s due in 5 min......

Answers

Answer is A because it’s just is

Answer: A 128 square sm

Step-by-step explanation:

So the wedge consists of a square and a triangle. We need to find the area of both using 2 formulas:

A=1/2bh for triangle

A= l*w for square

Starting with the square 8*10=80 so the area of the square is 80 square cm

Now the triangle is 12*8/2 so = 48 square cm

So add the two to get 48+80= 128 Square centimeters which is choice A

For their summer jobs, Amanda and Julie are babysitting. Amanda starts with $150 in her savings account and
earns $15 per week. Julie starts with $200 in her savings account, and earns $5 per week. Use the following
equations to determine the number of weeks they will have the same amount of money?
Amanda's Equation: y = 15x + 150
Julie's Equation: y = 5x + 200


#28

Answers

I think the answer is that the same number will be the same at week 5

Tres croissants y dos ensaimadas nos ha costado 6,10Є si recordamos que el precio ce una ensaimada es 0,30Є más caro que el de un croissant. ¿cual es el precio de una ensaimada y cual es de un croissant?

Answers

Answer:

Step-by-step explanation:

3c + 2e = 6.10

e = c + 0.30

3c + 2(c + 0.30) = 6.10

5c + 0.60 = 6.10

5c = 5.50

c = 1.10 Є

e = c + 0.30 = 1.40 Є

Find tan(B) in the triangle

Answers

Answer:

Answer is B

Step-by-step explanation:

SohCahToa

[tex]tan = \frac{o}{a} [/tex]

Hypotenuse : Opposite the right angle. : 13

Opposite : Opposite the B angle : 5

Adjacent : The only side left : 12

we need opposite and adjacent, hypotenuse is irrelevant in this question.

Substitute the numbers

[tex]tan( \frac{5}{12} )[/tex]

8.sınıf matamatikten hic anlamıyorum yardım edin​

Answers

Answer:

same

Step-by-step explanation:

2 is what percent of 200

Answers

Answer:

1%

divided 2/ 200 and your answer as a persent is  1%

Step-by-step explanation:

may i get brainliest i need 1 more?

2 is 1 percent of 200.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let 2 is x% of 200.

Now, x% of 200 =2

x/100 ×200 =2

200x=200

x=1

Therefore, 2 is 1 percent of 200.

To learn more about the percentage visit:

brainly.com/question/24159063.

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PLEASE HELP ILL MARK U BRAINLIEST!!!!!!!

4 adults and 3 children cost $40 to go to a show. 2 adult and 6 children cost $38 to go to the same show. How much would it be for adults to go to this show. How much would it cost for 2 adults and children?

Answers

Answer:

$7 dollar per adult

$4 dollars per child

two adults and two children would cost $22

Step-by-step explanation:

Do the ratios 7/18 and 1/3 form a proportion?

Answers

Answer:

no, it does not format a proportion, they are not equal

Point E is the midpoint of side BC of parallelogram ABCD, and point F is the midpoint of side AD. prove that quadrilateral BEDF is a parallelogram

Answers

9514 1404 393

Explanation:

Here is one way to go about it.

Statement . . . . Reason

1. AD ≅ BC, AD║BC, E & F are midpoints of BC, AD . . . . given

2. (1/2)AD ≅ (1/2)BC . . . . multiplicative property of congruence (equality)

3. DF = (1/2)AD, BE = (1/2)BC . . . . definition of midpoint

4. DF ≅ BE . . . . substitution property of congruence

5. BE║DF . . . . segments of parallel lines are parallel

6. BEDF is a parallelogram . . . . BE ≅ DF, BE║DF, definition of parallelogram

Ms. Hannah goes bowing with her friends. The bowing shoe rental for the group costs $22. Each game the group bows costs $7 25.

1.Write an equation for the total cost cof the outing related to the number of games played g.

2. How much will cost to bow 3 games?​

Answers

Cost=22+7*g
Cost for 3 games = 22+7*3=43

Use the figure above to determine the height of the pickle ball when it was
hit.

Answers

The height of the pickle ball when it was hit is = h = AB = 8.5 feet

The study of angles and of the angular relationships of planar and three-dimensional figures is known as trigonometry. The trigonometric functions (also called the circular functions) comprising trigonometry are the cosecant , cosine , cotangent , secant , sine , and tangent.

Applications of Trigonometry:

Measuring grounds lots, and fields,

Measuring ground surfaces,

Making building perpendicular and parallel,

Roof inclination and roof slopes,

Installing ceramic tiles and stones,

The height and width of the building.

Given in figure

(in feet)

ED = 3

BC = 34

BD = 22

AB = h = height of the pickle ball

Therefore DC = 34 - 22 = 12

In ΔEDC

Let ∠ECD = a

tan a = ED/DC

⇒ tan a = 3/12

⇒ tan a = 1/4         (1)

In ΔABC

∠ACB = a

tan a = h/34

⇒ 1/4  = h/34      (from 1)

⇒ h = 34/4

⇒ h = 8.5

Hence height of the pickle ball is 8.5 feet.

To learn more about Applications of Trigonometry visit:

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5. Which sequence of transformations maps quadrilateral ABCD onto quadrilateral EFGH?​

Answers

Answer:

c

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Calculate the midpoint of the line segments joining the two points (-8, -7) and (4,9)

Answers

Answer:

Step-by-step explanation:

To calculate the midpoint, you need to plug in the values of x and y into the midpoint formula.

M ( x1 + x2/2 , y1 + y2/2)

M [ -8 + 4/2 , -7 + 9/2]

M ( -2, 1)  

Look at this graph: 100 90 70 60 50 40 30 20 10 0 30 50 60 70 What is the slope? Simplify your answer and write it as a proper fraction, improper fraction, or integer.​

Answers

Answer:

Step-by-step explanation:

Nose amigo si supiera te ayudaría mucho

Answer:

Save your graph and ask the question again, I don't understand.

Step-by-step explanation:

Who understands how to do this mess?

Answers

Answer: 140

Step-by-step explanation:

Angle 4 and A are supplementary meaning they add to 180

Thus you can do 180-40 = 140 to get that angle A = 140.

Since the two lines are parallel, Angle A is congruent to Angle D. Then, since Angle D is opposite Angle 3, we know that that Angle 3 and Angle D are congruent.

Write an equation of the line in point slope form

(2, 4) and (3,6)​

Answers

Answer:

(y – 4) = 2(x – 2)

Step-by-step explanation:

point slope: y – y₁ = m ( x - x₁ ).

slope: m = ∆y / ∆x.

_______________

m = ∆y / ∆x = [ 6 – 4 / 3 – 2 ] = [ 2 / 1 ]

= 2

____________________________

(2, 4) → (x₁, y₁).

2 → m.

y – y₁ = m(x – x₁) → y – 4 = 2(x – 2).

Answer:

y-4=2(x-2)

Step-by-step explanation:

need more help on this question

Answers

79
hope this helped

Answer: 79

Step-by-step explanation:

6 ÷ 3 + 9 x² - 4=79

Mariel deposited ₱6,500.00 in an account that offers 5% interest compounded semi-annually. How much money is in his account at the end of five years?​

Answers

Answer:

The amount is 8,322

Step-by-step explanation:

To get this , we are going to use the compound interest formula

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

A is the amount we are calculating

P is the amount deposited = 6,500

r is the interest rate = 5% = 5/100 = 0.05

n is the number of times per year the interest is compounded

= 2 since it is semi-annually

t is the number of years = 5

Substituting these values, we have it that ;

A = 6,500(1 + 0.05/2)^10

A = 6,500(1.025)^10

A = 8,322

HELP PLEASE!!! ILL GIVE BRAINLIEST if I can figure it out ... I'm not in highschool btw I'm in 6th


Write a number less than 50 that has at least six factors.

List at least six factors of the number you choose.

Answers

Answer:

12

Factors : 1,2,3,4,6,12

Answer:

the number can be 12.

1 x 12 = 12

2 x 6 = 12

3 x 4 = 12


URGENT!!!!

Find Perimeter of the square with the side 15 in.
Use formula P=4s
100 in
60 in
225 in
30 in

Answers

Answer:

It's 60 in

Step-by-step explanation:

P = 4s

P = 4 x 15

P = 60 in

The value of x is ?

Answers

Answer: X = 42

Steps:
(3x + 12) + x = 180
3x + 12 + x = 180
4x + 12 = 180
4x = 180 - 12
4x = 168
x = 168/4
x = 42

Check:
(3x + 12) + x = 180
3x + 12 + x = 180
3(42) + 12 + 42 = 180
126 + 12 + 42 = 180
180 = 180 ✅

I would appreciate the brainliest if this was correct and had helpful & clear steps! :)

Andy cycles a distance of 30 km at an average speed of 24 km/h. He then runs a distance of 12 km at an average speed of 8 km/h.
Work out the total time Andy takes. Give your answer in hours and minutes.

Answers

Answer:

1 Hour and 20 minutes

Step-by-step explanation:

Time = Distance ÷ Speed

The total time taken by Andy is (1.25 + 1.5) 2.75 hrs or 165 minutes and this can be determined by using the formula of speed.

Given :

Andy cycles a distance of 30 km at an average speed of 24 km/h. He then runs a distance of 12 km at an average speed of 8 km/h.

The formula of speed is used to determine the time taken by Andy to cover the total distance. The formula of speed is given by:

[tex]\rm s = \dfrac{D}{t}[/tex]

where 's' is the speed, 'D' is the distance and 't' is the time.

Now, the time taken by Andy to cover the distance of 30 Km with the speed of 24 Km/hr is:

[tex]\rm 24 = \dfrac{30}{t}[/tex]

[tex]t = \dfrac{30}{24}[/tex]

t = 1.25 hrs.

Now, the time taken by Andy to cover the distance of 12 Km with the speed of 8 Km/hr is:

[tex]\rm 8 = \dfrac{12}{t}[/tex]

[tex]t = \dfrac{12}{8}[/tex]

t = 1.5 hours.

So, the total time taken by Andy is (1.25 + 1.5) 2.75 hrs or 165 minutes.

For more information, refer to the link given below:

https://brainly.com/question/17661499

can someone answer my question????i need help i’m already failing i’ll give brainlist and points:/

Answers

Y= 2/3x+2
That should help

An isosceles triangle has an angle that measures 118°. Which other angles could be in that isosceles triangle? Choose all that apply. a 69° b 31 c 118 d 54​

Answers

Answer:

b. 31.

Step-by-step explanation:

The other 2 angles in the triangle are congruent so they are:

(180 - 118) / 2

= 31 degrees.

The possible measure of two similar angles in an isosceles triangle could be b. 31 °

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know in an isosceles triangle two sides are equal and angles opposite sides to the equal side are also equal.

We also know that the sum of all the interior angles in a triangle is 180°.

Let, The similar angles be 'x'.

Therefore,

x + x + 118 = 180

2x = 62.

x = 31°.

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