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

The first 3 figures in a pattern are shown.

Which of the following functions represents f(n), the number of small squares in figure n?

A f(n) = 2n?

B. f(n) = (n + 4)2

C. f(n) = 50 + 4

D f(n) = n2 + 4​

Answers

C because wikenenebbejebe

Solve the following equation. Write your answer in simplest form,
2/5x+4= 16

Answers

Answer:

x=30

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

2/5x+4=16

First: subtract 4 from both sides, 2/5x=12

Second: multiply by 5 on each side, (it cancels out the fraction) to get 2x=60

Third: divide by 2 on both sides, x=30

Find the value of x.
Round to the nearest tenth.
х
16
30°
30
x = [?]
need help asap:(

Answers

Answer:

[tex] x\approx 18.0[/tex]

Step-by-step explanation:

Here, a = 30, b = 16, C = x

By law of cosines

[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab \cos C \\ \\ {x}^{2} = {30}^{2} + {16}^{2} - 2 \times 30 \times 16 \: cos 30 \degree \\ \\ {x}^{2} = 900 + 256 - 960 \times \frac{ \sqrt{3} }{2} \\ \\ {x}^{2} = 1156 - 480 \times \sqrt{3} \\ \\ {x}^{2} = 324.615612 \\ \\ x = \sqrt{324.615612} \\ \\ x = 18.0170922 \\ \\ x \approx \: 18.0[/tex]

factorise 8bx -15ay-6by +20ax by using regrouping​

Answers

Answer:

(2b+ 5) (4x-3y)

Step-by-step explanation:

8bx -15ay-6by +20ax

2b (4x -3y) +5 (4x-3y)

(2b+ 5) (4x-3y)

The equation cannot be factored

4x +7y =-14
X + 4y =-8

Answers

Answer:first one is 5 and second one is -4

Step-by-step explanation:

I really need help with this does anyone mind expkaining

Answers

Answer:

I remember seeing this Question sombody answered 108 the 3rd option and it was correct but I chose 13 and it was wrong lol good luck

The total price for a computer and a
printer was $1039. If the computer
cost $750, how much did the printer
cost?

Answers

Answer:

$289

Step-by-step explanation:

If you know the cost of one of the two items, you can subtract that item from the total in order to find the price of the second item

So:   total price - computer price = printer cost

So:   $1039- $750 = $289

The printer is $289

Which of the expressions below has a 1 in the tenths place of the product? Select all that apply. A) 18.3 x 7 B) 6.5 x 4.31 C) 8.54 x 2.3 D) 5.4 x 2.8

Answers

Answer: A) 18.3 x 7 and D) 5.4 x 2.8

Step-by-step explanation:

A) 18.3 x 7 = 128.10

We can infer that 1 is in the tenths place.

B) 6.5 x 4.31 = 28.015

We can infer that 1 is not in the tenths place but rather the hundredths place.

C) 8.54 x 2.3 = 19.642

We can infer that 1 is not in the tenths place.

D) 5.4 x 2.8 = 15.12

We can infer that 1 is in the tenths place.

if you answer i will give you brainliest

Answers

Answer:

OK hiiiiiiiiiiiiiiiii.

A rectangle has a perimeter of 238 meters and a length of 67 meters what is the area of the rectangle

Answers

Answer:

3,484 meters squared

Step-by-step explanation:

Since it’s a rectangle, opposite sides are the same length. This means 2 of the sides are 67 meters each, since the length of the rectangle is 67 meters. To find the width, add the 2 sides together that we know the length of (in this case it would be 67+67) and subtract it from the total perimeter (238-[67+67]). Take the result (104) and divide it by 2 (104÷2=52). Now that we know the width is 52 meters, you can find the area by multiplying the length times the width (67*52=3,484 meters)

Remember that the perimeter is the total length around the outside of the shape, and the area is the space inside of the shape

I’m not good at explaining things but I hope this helps!

Solve for Х.
16
20
A 25.6
В
6
С
12
D 15

Answers

Answer:

12 which is on C

Step-by-step explanation:

use pathogoras theorem

a^2+b^2=c^2

16^2+b^2=20^2

256+b^2=400

b^2=400-256

b^2=144

b= square root of 144

b= 12

math question
i kind of need this done quicker, however no rush..! :)

x=-2y
x-y=9

Answers

Answer:

(6,-3) or x=6 y= -3

Step-by-step explanation:

Use the table to solve. Describe the pattern for the powers of 2.

Answers

It says use the table you have to send a pic

PLEASE HURRY
Which of the following is a cost homeowners insurance does not protect?
a.

The cost of repair or replacement of a home lost in a natural disaster.
b.

Additional living expenses required while your home is repaired after a disaster.
c.

Replacement costs for all contents in your home, including high cost electronics.
d.

The cost of medical expenses incurred by somebody getting injured on your property.

Answers

Replacement costs for all contents in your home, including high cost electronics. In my case it was C on edge

Answer:c

Step-by-step explanation:

Select all ordered pairs that satisfy the function y = 5x + 5.
A.
(5, 30)
B.
(-3,-10)
C.
(-7, 30)
D.
(-7, -30)

Answers

Answer:

its D

Step-by-step explanation:

A store sells an item for $35 after a 25% markup. What is the price the store paid?
$8.75
$28.00
$43.75
$140.00

Answers

Answer:

The store paid $28.00

Step-by-step explanation:

28 times .25(25%) is 7 and 28+7=35

Can anyone help? ASAP PLS

Answers

D. X= -4 y= 3 is the correct answer

Answer:

D is the correct

Step-by-step explanation:

i am sure (:

Ethen is ‘x’ years old. Raj is 8 years older than Ethen. Find the sum of their ages in 6 years time.

Answers

Answer:

The sum of their ages in 6 years time is (2x+20) years.

Step-by-step explanation:

Given that,

Ethen is ‘x’ years old.

Raj is 8 years older than Ethen.

Raj's age = (x+8) years

We need to find the sum of their in 6 years.

After 6 years,

Ethen's age = (x+6) years

Raj's age = (x+8)+6

= (x+14) years

Sum of ages = (x+6) + (x+14)

= 2x+20

Hence, the required answer is (2x+20) years.

determine the missing angle ​

Answers

Answer:

x=142

Step-by-step explanation:

so x and 142 equal eachother because they are alternate exterior angles!

set up the equation so we can solve for x

x=142

Answer:

Step-by-step explanation:

Alternate exterior angles are equal.

So, x = 142

12, 21, 30 and 39 are the first four terms in a sequence

Write an expression for the nth term of this sequence

Answers

Answer:

12, 21, 30, 39, 48, 57, 66, 75, 84.  

Ninth term is 84.

Step-by-step explanation:

The rule for this sequence is "add 9".

So, using this rule, we can do......

12, 21, 30, 39, 48, 57, 66, 75, 84.

Remember to add 9 each time!

Best of luck :3

While sorting some change into piggy banks, Gabby put 58 coins in the first piggy bank, 78 coins in the second piggy bank, 98 coins in the third piggy bank, and 118 coins in the fourth piggy bank. What kind of sequence is this?

Answers

Answer:  Whenever Gabby moves to different piggy banks, the banks will have 20 more coins than the one before.

Step-by-step explanation:

1     58

2     78

3     98

4     118

78-58=20

98-78=20

118-98=20

Whenever Gabby moves to different piggy banks, the banks will have 20 more coins than the one before.

Answer:

Step-by-step explanation:

20 more coins srry if this didn’t help

If 400,000 tourists contribute $67 million to a local economy, how much would 600,000 tourists contribute?

Answers

Answer:

[tex]100.5\ \text{million}[/tex] is contributed by 600,000 tourists.

Step-by-step explanation:

Given that,

400,000 tourists contribute $67 million to the local economy.

We need to find how much would 600,000 tourists contribute.

400,000 tourists = $67 million

1 tourist = [tex](\dfrac{67}{400,000 })\ \text{million}[/tex]

So, 600,000 tourists contribution is :

[tex]600000\ \text{tourists}=(\dfrac{67}{400,000 })\times 600000\ \text{million}\\\\=100.5\ \text{million}[/tex]

Hence, [tex]100.5\ \text{million}[/tex] is contributed by 600,000 tourists.

HELP: find the measure of the arc or angle indicated, assume that lines which appear tangent are tangent

Answers

Answer:

3) B. 65°4) D. 120°

Step-by-step explanation:

Question 3

Angle formed outside is half of the difference of intercepted arcs

m∠F = 1/2(( 360° - 115°) - 115°) = 1/2(130°) = 65°

Correct choice is B

Question 4

Angle formed by two chords is half of the sum of intercepted arcs

m∠WTU = 1/2(105° + 135°) = 1/2(240°) = 120°

Correct choice is D

Javier can paint a room in 4 hours. Jasmine needs 6 hours to paint the same
room. Which equation would you use to determine how long it takes them to
paint the room if they work together?

Answers

Answer:

idfk im tryna find out as well

Step-by-step explanation:

boom bam bop, botta bop boop........ pow

What is the 9th term of (2x+3)^10


PLEASEEEEEEE ANSWERRRRR

Answers

Answer:

1.668x10^13

Step-by-step explanation:

Can you please help me solve this

Answers

On the table, x is in the left column, y is in the right.
Using the equation y = kx, we need to find k for that data
150 = k(1250)
150/1250 = k
0.12 = k

You can confirm that by doing the same with the second row, but I won’t put that here. It’s the same.

Dollars/kilowatt-hour is the label for the k of each equation (0.12, 0.15). We calculated dollars divided by (per) kWh.

Company P is less expensive than company M, because 0.12 < 0.15.

We need to buy 2,375 kWh of electricity from company P. The equation y = kx applies, where y is unknown, k = 0.12, and x = 2,375

y = (0.12)(2375)
y = $285

Let me know if you have any questions.

If a bank account doubles in size every 5 years, then by what percent does it grow after only 3 years?

Answers

Answer:

1.516 

Step-by-step explanation:

A Person Places Rs 500 in a Accout that is intrest compounded continuously Assuming no additional deposits or withdrawals, How much will be in the Account After seven years If the interest rate is Constant 8.5 percent for the first four year and a constant 9.25 percent for the last three years. So you get The percent 1.516 

30 [tex]30\geq 5[/tex]

Answers

30 is more than 5 not exactlt know what ur looking for here?

the length of a rectangle is 1 more than 4 times the width. the perimeter is 92 in. what is the length and width.

Answers

Step-by-step explanation:

the 1st side length is 4x+1 if x is the width. 2(length)+2(width)=perimeter

2(4x+1)+2x=92

8x+2+2x=92

10x=90

x=9

width=x=9

length=4x+1=4(9)+1=37

Hope that helps :)

CAN SOMEONE PLEEAASE HELP WITH ME with these six questions I will love you forever

Answers

Answer:

1. Congruent(SAS)

2. Congruent(AAS)

3. Congruent(HL)

4. Not congruent

5. Congruent(SSS)

6. Congruent(AAS)

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