You are the manager at the town pool. You need to build a fence around the new children's pool area. The pool is 5 feet wide by 8 feet long. You want the fence to be the same distance "x ft" from all sides of the pool, except you need to put a lifeguard chair at one end of the width, so the fence should be twice as far away from the pool on that one side. How many linear feet of fencing must you buy? (Use an algebraic approach to receive credit for your solution)​

Answer:

6.28

Step-by-step explanation:

2×3.14 because this is just simple multiple

Answer:

29 feet

Step-by-step explanation:

20^2 + 21^2 = 841

841sqrt = 29 feet

Answer:

Step-by-step explanation:

[tex]\sqrt{g}[/tex] = 7-w

([tex]\sqrt{g}[/tex] )^2 = (7-w)^2

g = (7-w)^2

[tex]x = 5 \\ y = 4 \\ m = \frac{1}{5} [/tex]

y= mx+b

[tex]4 = ( \frac{1}{5} \times( 5) )+ b \\ 4 = 1 + b \\ 4 - 1 = b \\ 3 = b \\ y = \frac{1}{5} x + 3[/tex]

Answer:

y = 1/5x + 3

Step-by-step explanation:

if the bacterial is doubling, that means the growth rate is 100%, or 100% plus whatever it was before, so

[tex]\textit{Periodic/Cyclical Exponential Growth} \\\\ A=P(1 + r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &1500\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=minutes\\ c=period\dotfill &30 \end{cases} \\\\\\ A=1500(1 + 1)^{\frac{t}{30}}\implies A=1500(2)^{\frac{t}{30}} \\\\\\ \stackrel{\textit{after two hours, or 120 minutes, t = 120}~\hfill }{A=1500(2)^{\frac{120}{30}}\implies A=1500(2)^4\implies A=24000}[/tex]

[tex]~\dotfill\\\\ \stackrel{\textit{current amount being 12000}}{12000=1500(2)^{\frac{t}{30}}}\implies \cfrac{12000}{1500}=(2)^{\frac{t}{30}}\implies 8=(2)^{\frac{t}{30}}\implies 8=\sqrt[30]{2^t} \\\\\\ 8^{30}=2^t\implies (2^3)^{30}=2^t\implies 2^{90}=2^t\implies 90=t[/tex]

Answer:

  D = {-3, -2, -1, 1, 4}

  R = {-5, -1, 0, 2}

Step-by-step explanation:

You have correctly described the process of finding the domain and range by the way you filled in the blanks at the top of the sheet.

__

The domain is the set of x-values of the points on the graph:

  D = {-3, -2, -1, 1, 4}

The range is the set of (unique) y-values of the points on the graph:

  R = {-5, -1, 0, 2}

Answer:

13.64 cm²

Step-by-step explanation:

Area of Trapezoid :

Solving :

Answer:

13.64 square centimeters

Step-by-step explanation:

Hey there!

The formula to finding the area of a trapezoid is:

1/2 (p + q) h

Where h is the height, p is the shorter base and q is the longer base

In this case

p - 3.6

q - 5.2

h - 3.1

1/2 (3.6 + 5.2) 3.1

1/2 (8.8) 3.1

(4.4) 3.1 --> 4.4 x 3.1

13.64

So, the area of this trapezoid is 13.64 square centimeters

Answer:

Hence, a fair dice has a probability of 16 to land on any predetermined number 1 through 6. Therefore, to land on 3 the probability is 16

Step-by-step explanation:

Answer:

b) [tex]f^{-1}(x) = \frac{4x+5}{3}[/tex]

Step-by-step explanation:

b) To find the inverse function, switch the [tex]x[/tex] and [tex]y[/tex] variables and solve for [tex]y[/tex]:

[tex]f(x) = \frac{3x-5}{4}\\y = \frac{3x-5}{4}\\x = \frac{3y-5}{4}\\4x = 3y-5\\4x+5 = 3y\\\frac{4x+5}{3} = y\\f^{-1}(x) = \frac{4x+5}{3}[/tex]

Verify Answer:

[tex]f(1) = \frac{3(1)-5}{4} = -0.5\\f^{-1}(-0.5) = \frac{4(-0.5)+5}{3} = 1[/tex]

Answer:

56

Step-by-step explanation:

If each child gets 2 sweets then we have to multiply the number of children by 2.

[tex]28 \times 2 = 56[/tex]

Answer:

30 sweets.

Add 28 and 2.

Answer:

i actually don't know

Step-by-step explanation:

Correct option is C) A² - B² + BA – AB

Step-by-step explanation:

(A+B)(A−B)=A(A−B)+B(A−B).........because matrix product is distributive.

=A² + BA - AB - B²

And as matrix product is not commutative, so AB¦=¦BA

Hence option C is correct.

The value of x in the equation is 25

The equation is given as;

[tex]-3 + \sqrt{3x - 11} = 5[/tex]

Add 3 to both sides

[tex]\sqrt{3x - 11} = 8[/tex]

Take the square of both sides

3x- 11 = 64

Add 11 to both sides

3x = 75

Divide both sides by 3

x = 25

Hence, the value of x in the equation is 25

Read more about equations at:

https://brainly.com/question/2972832

#SPJ1

The point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).

The point slope  form of a line is the expression of line which has a specified slope and passes through a point.

The point slope form is givne as,

(y-y₁)=m(x-x₁)

Here, m is the slope of the line, x₁ is the x coordinate of the point by which line passes and y₁ is the y coordinate of the same point.

The slope of a line is -5. This line contains the point A (2,-1). Thus, the point slope form is,

(y-y₁)=m(x-x₁)

(y-(-1))=-5(x-2)

(y+1)=-5(x-2)

Thus, the point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).

Learn more about the point slope form here;

https://brainly.com/question/6497976

#SPJ1

Answer:

9% sry if im wrong

Step-by-step explanation:

Kayla has some colored marbles that are the same size and shape. Use

the information below to determine which is closest to the probability

that Kayla will randomly select a marble that is not red, replace it, then

randomly select a marble that is yellow?

The probability of randomly selecting a red marble is 30%.

The probability of randomly selecting a yellow marble is 13%

Answer:

AAS

Step-by-step explanation:

the ansewer

Answer:

21.5

Step-by-step explanation:

Median: List all numbers in order, then find the two in the middle and average them so 3 15 28 40 and then do 15+28=43 then divide by 2 = 21.5

Mean: Average all of them so 3+15+28+40=86 divided by 4 = 21.5

d. 32.6°

explanation:

tan(×)= 0.6396

tan(x)= 0.6396/1000

tan(×)= 1599/2500

(×)= arctan (1599/2500)

(×)≈ 0.569029 or 32.6°

Answer:

Answer = 157

Step-by-step explanation:

The formula to finding the volume of a cone is h(pi)(r^2)/3. We know that the height is 6 and the base is 10. This means that the radius is 5 because it is 1/2 of the base. Now we plug in our numbers into the equation and get 157!

Hope that helps! :)

Answer:

Besides the givens:

12.

AC = EC, BC = DC; Definition of Midpoint

<ACB = <ECD; Vertical Angles Theorem

Triangle ABC = Triangle EDC; SAS Congruence Postulate

13.

AD = CD; Definition of Median

BD = BD; Reflexive Property

Triangle ABD = Triangle CBD; SSS Postulate

Step-by-step explanation:

None necessary.

Answer:

Step-by-step explanation:

One winter day, the temperature at noon was -9°F.

The temperature then rose by ​1/2 degree each hour for 3 hours:

The temperature then dropped by 2 1/4 degrees each hour for 2 hours:

Now add up all three values to find the final value:

Answer:

This was a nice way to spend my time :) how'd I do?

Step-by-step explanation:

Total: 6

1. +8

After stop 1, total is 14 people

2. +4, -2

After stop 2, total is 16 people

3. +15, -4

After stop 3, the total is 27 people

4. -8

Total # of people on the bus: 19

(A little voice in the back of my mind is telling me that I overthought this entire problem, and that the answer is just 6)

Answer: The 4th option= -1, -3

Step-by-step explanation: Here, if y = -1 and x = -3. The equation would be: (-1) + (-3)= -1 -3 = -4

Now we know that -4 is greater than -5.

Some may think that -4 is smaller than -5 nut remember that the numbers are in minus form, so if u put them in a number line, then -4 is greater than -5.

Thanks.

Answer:

A. g(x)=(x+9)^2

Step-by-step explanation:

if it’s plus inside the parentheses it’s goes left and if it’s - it’s right

Hope this helps! ;-)

Answer:

hy the answer is C. a car maintained constant speed

Answer:

c.A car maintained constant speed

Step-by-step explanation:

according to the graph,velociry is always in a straight line over time.

so the velocity is constant

so A car maintaned constant speed

To solve this problem, we need to factor both

 ⇒ numerator: [tex]x^2-4x+4[/tex]

 ⇒ denominator: [tex]x^2-4[/tex]

Let's factor:

 ⇒ [tex]x^2-4x+4=(x-2)(x-2)\\[/tex]

 ⇒ [tex]x^2-4=(x+2)(x-2)[/tex]

Let's put it back into the fraction:

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

Answer: Choice (3) or [tex]\frac{x-2}{x+2}[/tex]

Answer:

[tex]\frac{x-2}{x+2}[/tex]

Step-by-step explanation:

First, let's factor out the fraction into [tex]\frac{(x-2)^2}{(x+2)(x-2)}[/tex], now we can cancel out the [tex]x-2[/tex]. After we do that, our final answer is [tex]\frac{x-2}{x+2}[/tex].

Hope this helps! :)

Answer:

down shift 90

Step-by-step explanation:

-90 will shift the graph down 90 units