which statement is the most appropriate comparison of spreads

A) £3264000.

. £1000 increased by 5000% =£51,000

. £51,000×64=£3264000

B) £6528000

. £2000 increased by 5000% =£102,000

. £102,000×64=£6528000

Step-by-step explanation

Answer:

The explicit equation is [tex]\mathbf{a_n=5n+3}[/tex]

Option A is correct option.

Step-by-step explanation:

Third term of sequence is 18

Sixth term of sequence is 33

We need to find the explicit equation for the sequence.

The explicit sequence is [tex]a_n=a_1+(n-1)d[/tex]

We need to find a_1 the first term and common difference d

We have a₃=18

We can write it as: [tex]a_3=a_1+(3-1)d\\[/tex]

[tex]18=a_1+2d[/tex]

a₆=33

We can write it as: [tex]a_6=a_1+(6-1)d\\33=a_1+5d[/tex]

Now, solving these equation s we can find value of d

[tex]18=a_1+2d[/tex]

[tex]33=a_1+5d[/tex]

Subtract both equations

[tex]18=a_1+2d[/tex]

[tex]33=a_1+5d[/tex]

[tex]--------\\-15=-3d\\d=\frac{-15}{-3}\\d=5[/tex]

So, we get common difference d = 5

Now finding a_1

Put value of d in equation [tex]18=a_1+2d[/tex]

[tex]18=a_1+2(5)\\18=a_1+10\\a_1=18-10\\a_1=8[/tex]

So, we get a₁ = 12

Now, the explicit equation is:

[tex]a_n=a_1+(n-1)d\\a_n=8+(n-1)5\\a_n=8+5n-5\\a_n=5n+3[/tex]

So, the explicit equation is [tex]\mathbf{a_n=5n+3}[/tex]

Option A is correct option.

Answer:

Step-by-step explanation:

Answer:

-2u-9

Step-by-step explanation:

Simplify

3(u-3)-5u

first, distribute

3u-9-5u

-2u-9

Answer:

1/2

Step-by-step explanation:

sin

(

20

)

cos

(

10

)

+

cos

(

20

)

sin

(

10

)

Decimal Form:

0.5

Answer:

c or b please dont get mad if i get it wrong

Step-by-step explanation:

your welcome

Answer:

Step-by-step explanation

2xy² +8y

= 2y (xy+8)

Just see what is the maximum common numbers u can find

Answer:

2y(xy+4)

Step-by-step explanation:

y is in both 2xy^2 and 8y

2 is in 2xy^2 and 8y which is 4×2=8

Answer:

x = 4/7 or 0.571428571

Step-by-step explanation:

There are 116,280 different codes that can be made with 4 numbers between 1 and 20 without repeating any number.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
To find the number of different codes that can be made with 4 numbers between 1 and 20 without repeating any number, we can use the permutation formula, nPr = n! / (n-r)! where n is the total number of items and r is the number of items we want to choose.

In this case, we have n = 20 (the total number of numbers we can choose from) and r = 4 (the number of numbers we need to choose).

So, the number of different codes that can be made is:

20P4 = 20! / (20-4)! = 20! / 16! = 20 × 19 × 18 × 17 = 116,280

Therefore, there are 116,280 different codes that can be made with 4 numbers between 1 and 20 without repeating any number.

Learn more about permutations and combinations here: https://brainly.com/question/2295036
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Answer:

0.375

Step-by-step explanation:

Given that there is 50% chance of having a boy in a single birth.

Let it be represented by p, so

p=50%=0.5

According to Bernoulli's theorem, the probability of exactly r success in n trials is

[tex]P(r)=\binom {n}{ r} p^r(1-p)^{n-r}[/tex]

where p is the probability of success.

So, the probability of exactly 2 boys (success) in a total of 3 birth (trials) is

[tex]P(r=2)=\binom {3}{ 2} p^2(1-p)^{3-2}[/tex]

As p=0.5, so

[tex]P(r=2)=\binom {3}{ 2} (0.5)^2(1-0.5)^{3-2} \\\\=\binom {3}{2} (0.5)^2(0.5)^{1} \\\\=3\times 0.5^3[/tex]

=0.375

Hence, the probability of exactly 2 boys in a total of 3 birth is 0.375.

Answer:

Soln,

32°+a=90°[right angled triangle]

or,a=90°-32°

or,a=58°

•°•a=58°

The measure of the missing angle is, a = 58 degree

Used the concept of complementary angle that states,

The sum of complementary angles is always equal to 90 degrees.

Given that,

There are two angles shown in the image.

From the given image,

Angle a and 32 are complementary angles.

Hence,

a + 32° = 90°

a = 90° -32°

Therefore, the missing angle is,

a = 58 degree

To learn more about the angle visit:;

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Answer:

135,296 ÷ 16 = 8,456

Step-by-step explanation:

i think this is the answer

Answer:

= 0.0016

Step-by-step explanation:

anything times one is the same number

Answer:

Diagonals are congruent

Step-by-step explanation:

In rectangle, diagonals are congruent.

But in parallelogram diagonals are not congruent

Answer:

it is 4 C

Step-by-step explanation:

because it is the first 4 days of January and it was 3C and on the 5 day it was 1C add it up and you will get 4C

Answer:

vftghjm

Step-by-step explanation:

Answer:

Geometric

Step-by-step explanation:

Answer:

Geometric, 81, 3

Step-by-step explanation:

A geometric sequence is defined as one that continues with multiplication.

We can tell that the sequence proceeds by multiplying 1/3.

a2 is 81 because it is the second term given in the sequence.

a5 is 3 because it equals a4 *1/3, which is 9*1/3 which is 3

I hope this helps! :)

Answer:

9

Step-by-step explanation:

k  = 6

3k - 9  = 3*6 - 9

           = 18 - 9

            = 9

Answer:

f(x)=(x-4)^2-20

Step-by-step explanation:

hope this helps!

Answer:

B

Step-by-step explanation:

Answer:

A) - 7

slope -intercept form       y =  - 3x - 7

slope m =-3 and y - intercept c = -7

Step-by-step explanation:

Explanation:-

Given that slope 'm' = -3 and point (0,-7)

The equation of the straight line passing through the point and having slope 'm'

y - y₁ = m ( x- x₁)

The equation of the straight line passing through the point ( 0,-7) and slope m = -3

y - (-7) = -3 ( x -0)

y +7 = -3x

3x +y + 7=0

The equation of the line 3x +y + 7=0

Final answer:-                                        

slope -intercept form      y =  - 3x - 7

slope m =-3 and y - intercept c = -7

Answer:

13,5,12 inches hope this helps

Step-by-step explanation:

Answer:

2^27

Step-by-step explanation:

Given the following expression:

[(2^10)^3 x (2^-10)] ÷ 2^-7

This can be easily simplified. Let us simplify the numerator first. To do that, we have

(2^10)^3 making use of the power rule of indices that says:

(A^a)^b = A^ab where a and b are powers, we have:

2^(10x3) = 2^30

Therefore the numerator becomes:

2^30 x 2^-10. Also making use of the multiplication rule that says:

A^a x A^b = A^(a + b), we have

2^30 x 2^-10 = 2^(30 – 10) = 2^20.

Now we have:

(2^20) ÷ (2^-7)

To simplify this, we need the division rule of indices which says:

A^a ÷ A^b = A^(a – b)

Therefore we have:

(2^20) ÷ (2^-7) = 2^[20 – (–7)] = 2^(20+7) = 2^27

Following are the solution to the given expression:

Given:

[tex]\to \frac{[(2^{10})^3 \times (2^{-10})]}{2^{-7}}[/tex]

To find:

value=?

Solution:

[tex]\to \frac{[(2^{10})^3 \times (2^{-10})]}{2^{-7}}[/tex]

Using formula:

[tex]\to (A^a)^b = A^{ab}\\\\\to A^a \div A^b = A^{(a - b)}[/tex]

Solve the equation:

[tex]\to \frac{[(2^{30}) \times (2^{-10})]}{2^{-7}} \\\\\to \frac{(2^{30})}{2^{-7}} \times \frac{(2^{-10})}{2^{-7}} \\\\ \to \frac{(2^{30})}{2^{-7}} \times \frac{(2^{-10})}{2^{-7}} \\\\\to (2^{30 - (-7)}) \times (2^{-10- (-7)}) \\\\\to 2^{37} \times 2^{-3} \\\\\to 2^{37 -3} \\\\\to 2^{34} \\\\[/tex]

Therefore, the final answer is "[tex]\bold{2^{34}}[/tex]".

Learn more:

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Answer:

2.50

Step-by-step explanation:

You just divide 30 by 12... and that will give you the cost of one battery.

Answer:

Translated 2 units Right

and Translated 4 units left and Across the y - axis

Now the new function is

h(x) = -( x + 2 )³ - 4

Step-by-step explanation:

Step(i):-

Type of transformation                                change of function

a)   The translated left 'c' units                           x - c

b)  The translated Right 'c' units                        x + c

Step(ii)

The given function  f(x) = x³

The given function is translated '2' units right side then the new function

  h(x) = ( x + 2 )³

and next  the translated '4 ' units left sides and reflected across the y-axis

Now the new function is

h(x) = -( x + 2 )³ - 4

Answer: left, down,x-axis

Step-by-step explanation:

Answer:

Levi would have to pay $94 if he bought all 5 kids movie tickets and 6 snacks for everyone to share (god that's a lot of money for a movie)

Step-by-step explanation:

Answer:

372.5 miles

Step-by-step explanation:

First, find how many miles she traveled at 65 mph:

65(2.5)

= 162.5

Then, find how many she traveled at 60 mph:

60(3.5)

= 210

Add these together:

162.5 + 210

= 372.5

So, Ella traveled 372.5 miles in total

Answer:

(x - 6)² - 17

Step-by-step explanation:

Given

x² - 12x + 19

Using the method of completing the square

add/ subtract ( half the coefficient of the x- term )² to x² - 12x

= x² + 2(- 6)x + 36 - 36 + 19

= (x - 6)² - 17