The value of Adam's model railway is $550.
This value increases exponentially at a rate of r %
per year.
At the end of 5 years the value will be $736.
Calculate the value of r.

The design that every point on one side of the line coincides with a point on the other side of it is Line of symmetry

Symmetry in mathematics means that when one shape is moved, rotated, or flipped, it looks exactly like the other shape.

A circle or band that divides a body's surface into two typically equal and symmetrical portions.

When a shape or item has a central point, point symmetry occurs when all points on the opposing sides are at the same distance from the centre.

The term "line of symmetry" refers to the fictitious axis or line that can be used to fold a figure into symmetrical halves.

It denotes that one half is the other half's mirror image.

Thus, the required design is Line of Symmetry.

Learn more about Symmetry here:

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Answer:

I think 14

Step-by-step explanation:

I think 14 because I added on paper and got 14

Answer:

3.46 or ..

[tex] 2\sqrt{3} [/tex]

Step-by-step explanation:

because you use sin(60) = 3/u

-1/5Answer:

Step-by-step explanation:

Answer:

I'm not sure if the bridge is 44 kilometers long or just 4, but if the bridge is 44 kilometers long it will take 22 hours but if the bridge is 4 kilometers long it will take 2 hours.

Step-by-step explanation:

Since her average speed is 2 kilometers per hour you just have to divide the length of the bridge by 2. Then your quotient or answer to the division equation will be the amount of time it takes to cross the bridge.

Answer:

22 hours

Step-by-step explanation:

i dont know if that is 100% correct because you wrote 4 4 and not 44 but used 44 in my calculations. also, i worked it out like this:

distance÷speed=time

44 km ÷ 2kph = 22

Answer:

[tex](f/g)x = \frac{x-1}{5x - 2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x - 1[/tex]

[tex]g(x) = 5x - 2[/tex]

Required

(f/g)x

In functions:

[tex](f/g)x = \frac{f(x)}{g(x)}\ \ \ g(x)\ne 0[/tex]

So:

[tex](f/g)x = \frac{x - 1}{5x - 2}[/tex]

Answer:

1, 2, 3, 6, 9, 18, 27, 54.

Step-by-step explanation:

factors:

1, 2, 3, 6, 9, 18, 27, 54.

Therefore, all the factor pairs for 54 is 1, 2, 3, 6, 9, 18, 27, 54..

Answer: (1,54) (2,27) (3,18) (6,9)

Step-by-step explanation: 54 x 1 = 54    27 x 2 = 54    3 x 18 = 54   6 x 9 = 54

Answer:

$2244

Step-by-step explanation:

Answer:

a. ∀ a, b ∈ Z, if a < 0 ∧ b < 0 ⇒ a + b < 0

b. ∀ a, b ∈ Z, if a > 0 ∧ b > 0 ⇒ a - b < 0 ∨ a - b > 0

c. ∀ a, b ∈ Z, a² + b² ≥ (a + b)

d. ∀ a, b ∈ Z, |ab| = |a||b|

Step-by-step explanation:

a. The sum of two negative integers is negative.

First, we take the quantifier ∀ and write the two integers a and b as a element of the set of integers Z as ∀ a, b ∈ Z. Now, if a and b are negative, we write if a < 0 ∧ b < 0 where the logical operator ∧ represents "and". So, we have the statements ∀ a, b ∈ Z, if a < 0 ∧ b < 0. Then finally, we use the logical operator ⇒ to imply the summation of the two integers as ⇒ a + b. And since we are to show that their sum is less than zero, we write ⇒ a + b < 0.

Combining this statement with the previous expressions, we have

∀ a, b ∈ Z, if a < 0 ∧ b < 0 ⇒ a + b < 0

b. The difference of two positive integers is not necessarily positive.

First, we take the quantifier ∀ and write the two integers a and b as a element of the set of integers Z as ∀ a, b ∈ Z. Now, if there exists a and b that are positive, we write if a > 0 ∧ b > 0 where the logical operator ∧ represents "and". So, we have the statements ∀ a, b ∈ Z, a > 0 ∧ b > 0. Then finally, we use the logical operator ⇒ to imply the difference of the two integers as ⇒ a - b. And since we are to show that their difference is either less than zero or greater than zero, we write ⇒ a - b < 0 ∨ a - b > 0 where ∨ implies the logical operator "or".

Combining this statement with the previous expressions, we have

∀ a, b ∈ Z, if a > 0 ∧ b > 0 ⇒ a - b < 0 ∨ a - b > 0

c. The sum of the squares of two integers is greater than or equal to the square of their sum.

First, we take the quantifier ∀ and write the two integers a and b as a element of the set of integers Z as ∀ a, b ∈ Z. Now, since we are dealing with the sum of the squares of each integer, we write a² + b². And, we are to show that this sum is greater than the sum of the individual integers, we write their sum as a + b, and we show the previous sum to be greater than or equal to this as a² + b² ≥ (a + b).

Combining this statement with the previous expressions, we have

∀ a, b ∈ Z, a² + b² ≥ (a + b)

d. The absolute value of the product of two integers is the product of their absolute values.

First, we take the quantifier ∀ and write the two integers a and b as a element of the set of integers Z as ∀ a, b ∈ Z. Now, since we are to show that absolute value of the product of the integers equals the product of the absolute value of the individual integers, we write the that absolute value of the product of the integers as |ab| and the product of the absolute value of the individual integers as |a||b|.

Since we are to show that this expression and the previous expression are equal, we write |ab| = |a||b|.

Combining this statement with the previous expressions, we have

∀ a, b ∈ Z, |ab| = |a||b|

Answer: (0,4)

Step-by-step explanation:

Answer:

Is there more context? Like an image, describing what cars there are?

Step-by-step explanation:

You can sort cars by model type, brand, color, style, etc. So yes, unless there is only 2 types of car types/brands/colors/style etc

Answer:

1/4

Step-by-step explanation:

Convert 1 hour to minutes

1 hour = 60 minutes

Then you can find the fraction

15/60

simplifies to 1/4

15 minutes is 1/4 of 60 minutes/1 hour

Answer:

one solution

the solution is x=0

Answer:

1

Step-by-step explanation:

You can figure this out using a simple trick. The highest number to the power that a variable goes to is the number of answers for that question. Meaning if There was an x cubed in that problem, there would be 3 answers.

9514 1404 393

Answer:

  a. The value of A₀ changes from 10 to 20

  b. t is replaced by (t-5)

Step-by-step explanation:

a. The given formula comes with a description that says A₀ is the initial dose in mg. If the initial dose changes from 10 mg to 20 mg, then A₀ changes from 10 to 20. The function becomes ...

  A = 20·0.97^t

__

b. Shifting the graph of the function to the right by 5 minutes is accomplished by replacing t with (t-5). At the same time, the domain changes from t ≥ 0 to t ≥ 5. The function becomes ...

  A = A₀·0.97^(t-5) . . . . . . . . for t ≥ 5

Answer:

x      f(x) + 1

-4       6

-2       8

2       2

4       -1

Step-by-step explanation:

5 + 1 = 6

7 + 1 = 8

1 + 1 = 2

-2 + 1 = -1

Answer:

i want to drive alone but i am 15 and need to be 17

Step-by-step explanation:

Answer: -11m-8

Step-by-step explanation: first you would distribute (m+1) into -8 causing it to be -3m-8m-8 you then combine like terms getting you -11m-8

Answer:

16m

Step-by-step explanation:

-3m -8 (m+1) any variable has 1.

-8  (-2m)

16m

Answer:

20

Step-by-step explanation:

Because this angle is 90 and we have 70

Answer:

I think the question is incorrect

Step-by-step explanation:

they boost the economy why is this in mathematics

‍♀️‍♀️

Given:

The equation of parallel line is [tex]y=6[/tex].

The line contains the point (-1,1).

To find:

The equation of the line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

The equation of parallel line is

[tex]y=6[/tex]

It can be written as

[tex]y=(0)x+6[/tex]

The slope of this line is 0.

The slopes of two parallel lines are always equal. So, the slope of the required line is also 0. It passes through the point (-1,1) so the equation of the line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-1=0(x-(-1))[/tex]

[tex]y-1=0[/tex]

[tex]y=1[/tex]

Therefore, the equation of the required line is 1.

Answer:No

Step-by-step explanation:

Answer:

210° or 60°

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

The mode is the measure of the central tendency for the given data set. The mode represents the highest frequency of the number

Since in the given data set as we can see that the 100 would be appeared 6 times

So this represent that the mode is 100

So here the mode would be the good measure

The linear function C has the greatest initial value is 2. And the linear function B that has the greatest rate of change is 3.

The complete question is attached below.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

Then the equations of the functions A, B, and C is given as

Function A: y = 5/2 x

Function B: y = 3x - 1

Function C: y = 1/3x + 2

Then graph of the functions is given below.

The linear function C has the greatest initial value is 2.

The linear function B that has the greatest rate of change is 3.

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[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Linear equations.

To get value of y, we equate the equation to Zero.

hence,

4.5(6y-8.8)/3 = 0

===> 6y -8.8 = 0

===> 6y = 8.8

==> y = 8.8/6

==> y = 1.466

Answer:

y=-32/11+a/11-n/11

Step-by-step explanation: