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A square Garden is surrounded by a walkway of width x.
a) Find the area of the garden
b) Find the area of the walkway and the garden
​

Answer:

Step-by-step explanation:

Originally, there were only five bacterial cells. After one month, the amount of bacteria is doubled with ten bacteria. The growth is represented by the formula:

a42 = 5 x 2^1

After 42 months, the growth can be solved using this formula:

a42 = 5 x 2^42 just so you know my cuz help me shes good in this

Answer:

[tex]N=2.1990232556 \times 10^{13}[/tex]

Step-by-step explanation:

Given : Brett has been studying a type of bacteria that doubles every month. Originally, there were 5 bacterial cells.

To Find: He wants to know how many there will be after 42 months?

Solution:

Since we are given that initially there were 5 bacterial cells.

Bacteria doubles every month

Let n denotes the number of months .

Function becomes : [tex]N=N_0(2)^n[/tex]

[tex]N_0[/tex] = initial amount

N = amount after n months

So, [tex]N=5(2)^n[/tex]

Substitute n = 42

[tex]N=5(2)^{42}[/tex]

[tex]N=2.1990232556 \times 10^{13}[/tex]

Thus there will be [tex]2.1990232556 \times 10^{13}[/tex] bacteria after 42 months.

Answer:   D.  2550 cm³

Step-by-step explanation:

Volume of one box = Length x width x height

Volume of 6 boxes = 6(L x w x h)

                                = 6(14 x 6 x 5)

                                = 6(14 x 30)

                                = 6(420)

                                = 2520

Answer:

65

Step-by-step explanation:

First, order the numbers in order. Then find the "middle numbers" and omit them after you have divided the number set into two equals parts. Then find the median of those number sets and then subtract.

You should get 71-6 at the end which is 65.

Answer:

5 and 6

Step-by-step explanation:

5 and 6

Answer:

2x + 3y = 20

Step-by-step explanation:

Slope of the line is -2/3 .  We can use any of the given points to find the equation of the line. Lets use (1, 6)

The general point-slope form of a line is:

[tex]y-y_{1} =m(x-x_{1} )[/tex]

Here m is the slope which is -2/3

x1 and y1 are the coordinates of the point. So x1 = 1 and y1 = 6

Using these values, we get:

[tex]y-6=-\frac{2}{3} (x-1)\\\\ 3(y-6)=-2(x-1)\\\\ 3y-18=-2x+2\\\\ 2x+3y=20[/tex]

Answer:

2x + 3y = 20

Step-by-step explanation:

We are given two points: (–2, 8) and (1, 6) and the slope (m) of the line and we are to find the equation of this line.

We know that the standard equation of a line is:

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

So we will plug in the given values in the above equation to find the y intercept.

[tex]6=-\frac{2}{3} (1)+c[/tex]

[tex]c=\frac{20}{3}[/tex]

So the equation of this line will be:

[tex]y=-\frac{2}{3} x+\frac{20}{3}[/tex]

or

2x + 3y = 20

Answer:

A)7

B)14

C)20

D)18

Step-by-step explanation:

For example 2/5 of 80

2/5 x 80/1 =32 Cross cancel

Answer:

A. (2x-3)/2

Step-by-step explanation:

Performing the long division indicated by the perimeter expression, you find ...

perimeter = (2x -3) + (10x +6)/(x^2 +2x)

Comparing this to the formula for the perimeter ...

perimeter = 2W +2L

where L is said to be of the form (ax +b)/(x^2 +2x)

we can match terms in the perimeter expression to see that ...

2W = 2x -3

2L = (10x +6)/(x^2 +2x)

The problem doesn't ask for it, but we can see that (a, b) = (5, 3). We can also see that ...

W = (2x -3)/2 . . . . . . . matches choice A

the ordered pair is a solution to the two equations.

Answer:

hello : (-3,-2) is solution

Step-by-step explanation:

put x = - 3 and y = -2 in this system :

3(-3) - 2 (- 2 ) = - 9 + 4 = - 5 .... right

4( - 3 ) +3(-2) = - 12 - 6 = -18 .....right

(-3,-2) is solution of the linear system:   3x - 2y = -5  

                                                                4x + 3y = -18

Answer: =2.35

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

To find x subtract the sum of the 2 given angles from 180, that is

x = 180° - (32 + 52)° = 180° - 84° = 96°

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

x and y form a straight angle, hence

y = 180 - x = 180° - 96° = 84°

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

To find z subtract the sum of the 2 angles from 180

z = 180° - (55 + y)° = 180° - (55 + 84)° = 180° - 139° = 41°

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

x = 96°, y = 84°, z = 41° → A

Answer:

24

Step-by-step explanation:

The area of a parallelogram is A = b*h. The area of a triangle is A = 1/2 b*h. This means if the area of the parallelogram is 48 square meters then the area of the triangle is 24 square meters.

Answer:

24 m^2

Step-by-step explanation:

Answer:

I think the answer is C if I'm wrong sorry its been two years since i last learnt this

Step-by-step explanation:

Answer:

201 ft²

Step-by-step explanation:

Area of a circle is given by the formula

πr²

Thus area

= 3.142 × 8 × 8

=  201.088

= 201 ft²

Answer:

Option C

201 feet²

Step-by-step explanation:

Given in the question,

diameter of the circular graph = 16 feet

Formula to calculate the area of garden

where π is constant = 3.14

           r is the radius

To find the radius

16/2

8 feet

Plug in values to calculate area

(3.14) 8²

200.96 feet²

Area of the circular garden having 16 feet diameter is 201 (approximate)

Answer:

244.56

Step-by-step explanation:

Alice starts with x amount of money, and then spends 41.52 of it. This means that x-41.52 is equal to the amount of money Alice has left because spending 41.52 means that it is subtracted from the bank account. Thus, x-41.52=203.04 .

Using the additive property of equality, we can add 41.52 to both sides, resulting in x=244.56

Answer:  A. $3

Step-by-step explanation:

Price: $ 60.00

Sales Tax (5%): $ 3.00

Total: $ 63.00

OR, an easier way to do it is:

60 × 0.05 = 3

* Hopefully this helps:)!!!Mark me the brainliest:)!!

∞ 234483279c20∞

Answer:

The Answer is $3

Step-by-step explanation:

5% of 60= $3

1) Step I

5%=0.05

2) there asking for the amount of the tax So its 5%of 60

Which is solve like This

0.05 x 60 = 3

Hopes this helps you!

Answer:

so a sub n=2.3+(n-1)0.3

That's in an arithmetic sequence

Answer:

Option C is the answer.

Step-by-step explanation:

Given arithmetic series is 2.3 + 2.6 +2.9 + ......... 5 terms

Since this series is an arithmetic series so explicit formula of series will be [tex]\sum_{n=1}^{n}[a+(n-1)d][/tex] where a is the first term, d is the common difference and n is the number of term.

Therefore, we replace the values a = 2.3, and d = (2.6 - 2.3) = (0.3)

expression will be [tex]\sum_{n=1}^{n}[2.3+(n-1)(0.3)][/tex]

[tex]\sum_{n=1}^{n}[2.3+(0.3)n-0.3][/tex]

[tex]\sum_{n=1}^{n}[2+(0.3)n][/tex]

Option C is the answer.

Final answer:

The sum of the functions [tex]F(x) = 2^x + 5x[/tex] and g(x) = 3x - 5 is [tex](f+g)(x) = 2^x + 8x - 5[/tex], which is obtained by adding the corresponding elements of each function and combining like terms.

Explanation:

The question asks for the sum of two functions, F(x) and g(x). In mathematical terms, (f+g)(x) means we have to add the functions F(x) and g(x) together. This is done by adding the corresponding elements of each function.

Here are the given functions:

F(x) = 2x + 5x

g(x) = 3x - 5

To find (f+g)(x), we combine them like this:

(f+g)(x) = F(x) + g(x) = (2x + 5x) + (3x - 5)

Now, we simply combine like terms:

(f+g)(x) = 2x + 5x + 3x - 5

(f+g)(x) = 2x + 8x - 5

This is the simplified form of the sum of the functions F(x) and g(x).

Final answer:

To find (f+g)(x) where f(x)=2ˣ + 5x and g(x)=3x-5, you simply add the functions together to get (f+g)(x) = 2ˣ + 8x - 5.

Explanation:

The student has asked to find (f+g)(x) where f(x) = 2ˣ + 5x and g(x) = 3x - 5.

To find (f+g)(x), we add the two functions together:

So, (f+g)(x) is:

(f+g)(x) = (2ˣ + 5x) + (3x - 5)

Combine like terms:

(f+g)(x) = 2ˣ + 5x + 3x - 5

(f+g)(x) = 2ˣ + 8x - 5

That is the simplified form of the function (f+g)(x).

Answer:

Step-by-step explanation:

For this problem, point slope form would be the easiest.

Point Slope Form- y-y1 = m(x-x1)

In this case, y1 is 3, x1 is 5, and m would be the slope which is -4.

y-3=-4(x-5)

This is how to write an equation for the problem.

Answer:

[tex]\large{\boxed{y-3=-4(x-5)-\text{point-slope form}}\\\boxed{y=-4x+23}}[/tex]

Step-by-step explanation:

The equation of a line in point-slope form:

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

m - slope

(x₁, y₁) - point

We have the slope m = -4 and the point (5, 3). Substitute:

[tex]y-3=-4(x-5)[/tex]       use distributive property

[tex]y-3=-4x+(-4)(-5)[/tex]

[tex]y-3=-4x+20[/tex]       add 3 to both sides

[tex]y=-4x+23[/tex]

Answer:

18

Step-by-step explanation:

Yur Welcome

The answer to the question [tex]\( \frac{12}{2/3} \) is \( 18 \).[/tex]

To solve the expression [tex]\( \frac{12}{2/3} \)[/tex], need to divide 12 by [tex]\( \frac{2}{3} \).[/tex] Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, we can rewrite the expression as:

[tex]\[ 12 \times \frac{3}{2} \][/tex]

Now, multiply 12 by \( \frac{3}{2} \):

[tex]\[ 12 \times \frac{3}{2} = \frac{12 \times 3}{2} \][/tex]

[tex]\[ \frac{12 \times 3}{2} = \frac{36}{2} \][/tex]

Finally, divide 36 by 2 to get the result:

[tex]\[ \frac{36}{2} = 18 \][/tex]

So, [tex]\( \frac{12}{2/3} = 18 \)[/tex]. This is the value you would use if this calculation appears on your module exam.

Answer:

so we use BODMAS

B..bracket

O..oppration

D..division

M..multiplication

A..addition

S..subtraction

so we first simplify the bracket 5.9+3.2=9.10)l8

then ther is no O D M we jump them and add with 1.8

9.1+1.8=10.9

so the answer is 10.9

Answer:

yes

Step-by-step explanation:

Nina earns $2.00 for each Enjoy the Citybook she sells. = 2x

the word each gives a clue to multiplication

Each time she sells a book she also gets a five-dollar tip = +5

each refers to the sentence before and gets gives a clue to addition.

so, y=2x+5 is correct

plz give brainliestttt

Answer:

Im not sure about the other 2 but the last box is 12, the answer above is incorrect for PLATO. I just took the test.

The y-intercept of line AB is 0, and the equation of line CD is y = 5.

The y-intercept of a line is the point where it intersects the y-axis. In this case, we are given the coordinates of point A as (8, 0). Since the y-coordinate of point A is 0, the y-intercept of line AB is 0.

The equation of a line can be determined using the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept. The slope of line CD can be found by finding the difference in y-coordinates divided by the difference in x-coordinates between points C and D. In this case, the slope is (5 - 5) / (5 - 5) = 0. Therefore, the equation of line CD is y = 0x + b, where b is the y-intercept. Since point D has coordinates (5, 5), the y-intercept is 5. Therefore, the equation of line CD is y = 0x + 5, or simply y = 5.

ANSWER

C. If it is not night, then the street lights will not come on.

EXPLANATION

The given statement is

"If it is night, then the street lights will come on"

Given the statement,

"If p, then q",

then the inverse of this statement is

"If it is not night,then the street lights will not come on"

"If not p, then not q"

The correct choice is C.

The inverse of a conditional statement is created by negating both the hypothesis and the conclusion. Thus, the inverse of the statement 'If it is night, the street lights will come on.' is 'If it is not night, then the street lights will not come on.'

The question is asking for the inverse of a given statement. In logic, the inverse of a conditional statement is created by negating both the hypothesis and the conclusion. The original statement: 'If it is night, the street lights will come on.' becomes 'If it is not night, then the street lights will not come on.' in its inverse form. So, the correct answer is C. If it is not night, then the street lights will not come on.

https://brainly.com/question/5338106

#SPJ12

(12/7, 9/7)

Since y = -x + 3, substitute it into the first equation.

-x + 3 = 5/2x - 3

Now add x and subtract 3 from both sides.

0 = 7/2x - 6

Now add 6 on both sides.

6 = 7/2x

Now divide by 7/2 on both sides.

12/7 = x

Now, just substitute x into the second equation.

y = -12/7 + 3

y = -12/7 + 21/7

y = 9/7

Please consider marking this answer as Brainliest to help me advance.

Answer: Option 'D' is correct.

Step-by-step explanation:

Let the number of adult tickets sold be 'a'.

Let the number of students tickets sold be 's'.

Cost of an adult ticket = $10.00

Cost of a student ticket = $7.50

According to question, it becomes,

[tex]10.00a+7.50s[/tex]

Hence, option 'D' is correct.

The expression that represents the amount of money collected at the door from the ticket sales is $10a + $7.50s

The total amount collected at the door is the sum of the total cost of adult tickets and children tickets

Total cost of adults ticket = cost per ticket x total number of adults tickets sold

$10 x a = $10a

Total cost of children's ticket = cost per ticket x total number of children tickets sold

$7.50 x s = $7.50s

The total amount collected at the door  = $10a + $7.50s

A similar question was solved here: https://brainly.com/question/18977332?referrer=searchResults

Answer:

120

Step-by-step explanation:

! means 3*2*1

so 6*1=6*5*4*3*2*1

6=720

720/6=120

factorial of n is given as

n! = n × (n-1) × (n-2)× . . . . . × 1

so lets solve it

6! = 6 × (6-1) × (6-2) × ( 6-3)×(6-4)×(6-5)

= 6×5×4×3×2×1

=720

similarly

3! = 3×2×1 =6

2!= 2×1= 2

3! × 2! = 6×2= 12

Answer:

[tex]\frac{1}{2}(\frac{1}{4}^x)[/tex]

Step-by-step explanation:

To find the function, compare the y values. Notice that each y value decreases by being divided by 4. This means the base of the exponential is 1/4.

To find the initial value, consider the point (0,0.5). When 1/4 is raised to the 0 power, the value is 1. This leaves that the initial value is 1/2 since 1/2*1 = 0.5.

The function is [tex]\frac{1}{2}(\frac{1}{4}^x)[/tex].

Answer:

The required function is [tex]f(x)=\frac{1}{2}\left(\frac{1}{4}\right)^x[/tex].

Step-by-step explanation:

The general exponential function is

[tex]f(x)=ab^x[/tex]           .... (1)

where, a is the initial value and b is growth factor.

From the given table it is clear that the function passes through the points (0,0.5) and (-1,2). It means the equation of function must be satisfied by the points (0,0.5) and (-1,2).

Substitute f(x)=0.5 and x=0 in equation (1), to find the value of a.

[tex]0.5=ab^0[/tex]

[tex]0.5=a[/tex]

The value of a is 0.5.

Substitute a=0.5, f(x)=2 and x=-1 in equation (1), to find the value of b.

[tex]2=(0.5)b^(-1)[/tex]

[tex]2=\frac{0.5}{b}[/tex]

[tex]2b=0.5[/tex]

Divide both sides by 2.

[tex]b=\frac{0.5}{2}[/tex]

[tex]b=0.25[/tex]

The value of b is 0.25.

Substitute a=0.5 and b=0.25 in equation (1).

[tex]f(x)=0.5(0.25)^x[/tex]

[tex]f(x)=\frac{1}{2}(\frac{1}{4})^x[/tex]

Therefore the required function is [tex]f(x)=\frac{1}{2}\left(\frac{1}{4}\right)^x[/tex].

Answer:

(-6,17)

Step-by-step explanation:

-2x-y=-5,

 3x+y=-1

Add the two equations together to eliminate t

-2x-y=-5

 3x+y=-1

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

x      = -6

Now that we know x, we can substitute it into one equation to find y

3x+y = 1

3(-6) +y = 1

-18 +y = -1

Add 18 to each side

-18+18 +y = -1+18

y = 17

(-6,17)