One company makes inflatable swimming pools that come in four sizes of rectangular prisms.

The length of each pool is twice the width and twice the depth.

The depth of each pool is a whole number from 3 to 6 feet.

If the pools are filled all the way to the top, what is the volume of each pool?

Answer:

(a-11) (a+11)

Step-by-step explanation:

Hope it helps you

Answer:

(a+11)(a-11)

Step-by-step explanation:

we all need help sometimes dude

Answer:

-3 = -5

-2= -4

-1= -3

0= -2

1 =.-1

Step-by-step explanation:

From the input -2 and from the output -4,

we can make an equation,

-2 + x =-4

or, x= -4 +2

or, x = -2

Again,

From the input 1 and output -1,

We can make an equation,

1 + x = -1

or, x= -1 -1

or, x= -2

Therefore, we know that x = -2

Now, putting the value of X in the following equations, we get,

Input Processing output

-3. -2. -5

-2. -2. -4

-1. -2. -3

0. -2. -2

1. -2. -1

The expression that represents the volume of the sphere is (4/3)π(6)³.

The radius of the sphere = 6 units

The volume of a sphere with radius r is 4/3πr³.

So, the volume of the given sphere with a radius of 6 units =  (4/3)π(6)³

The volume of the given sphere with a radius of 6 units =  (4/3)π*216

The volume of the given sphere with a radius of 6 units = 288π cubic units.

Hence, the expression that represents the volume of the sphere is (4/3)π(6)³.

To get more about spheres visit:

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Answer: B

Step-by-step explanation: edge 2023

The fourth function, f(x) = (x+2)^2-1 has an axis of symmetry of x = -2.

All of these functions start from the same function, f(x) = x^2, which has an axis of symmetry of x = 0.

A quadratic function is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The first function has been shifted 1 unit to the right and 2 units up, which have an axis of symmetry at x = 1.

The second function has been shifted 1 unit to the left and 2 units down, which have an axis of symmetry at x = -1.

The third function has been shifted 2 units to the right and 1 unit down, which have an axis of symmetry at x = 2.

The fourth function has been shifted 2 units to the left and 1 unit down, which have an axis of symmetry at x = -2.

As you can see, the last function has been shifted 2 units to the left, which has an axis of symmetry at x = -2.

Thus, The fourth function, f(x) = (x+2)^2-1 has an axis of symmetry of x = -2.

Learn more about function;

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Answer:

D. f(x) = (x + 2)2 − 1

Step-by-step explanation:

took the test on edge :)

Answer:

y = 8

Step-by-step explanation:

Hi there!

We are given the equation 5y + 2 = 42

And we want to solve it for y

To do that, we need to isolate the variable y on one side - we don't want any numbers on the same side as y.

So we need to first get rid of any numbers on the same side as y; we can subtract 2 from both sides to remove it from the left side.

5y + 2 = 42

     -2      -2

_______________

5y = 40

Now, we have variables on one side and numbers on another, but we're not done yet, as we want the value of just y, not 5y (that's 5 * y)

So to find the value of just y, divide both sides by 5

5y = 40

÷5    ÷5
________

y = 8

Hope this helps!

Answer:

The correct option isn't shown on the image.  I have attached a DESMOS graph with the option listed, and added an approximate equation that comes close to the actual line.  This should aid in understanding the equations and lines.

Step-by-step explanation:

See attached image.

The one option is noted as the first equation.  I added two points from the line provided: (0,-2.5) and (3.5,0) and then approximated an equation that comes closer.  I simply chose 3x-4y=>10, and it comes close to the actual line that goes through the two given points.

To do this properly, find the equation, y=mx+b, of the given line using the two points selected:

Slope, m is rise/run:

Rise = 2.5

Run = 3.5

Slope = 2.5/3.5

y-intercept, b, is -2.5

The equation of the given line is y = (2.5/3.5)x - 2.5

We can rewrite this in the form the answer options are given, or rearrange the answer options to standard form in order to make the comparison.  

Hopefully this will help guide to the correct solution.

Answer:

see explanation

Step-by-step explanation:

(1)

f(x) = g(x) , that is

- x² + 3x - 2 = - x + 1 ( add x to both sides )

- x² + 4x - 2 = 1 ( subtract 1 from both sides )

- x² + 4x - 3 = 0 ( multiply through by - 1 )

x² - 4x + 3 = 0 ← in standard form

(x - 1)(x - 3) = 0 ← in factored form

equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 3 = 0 ⇒ x = 3

(2)

let x and y be the 2 numbers : x > y , then

x + y = 217 → (1)

x - y = 85 → (2)

add the 2 equations term by term to eliminate y

2x + 0 = 302

2x = 302 ( divide both sides by 2 )

x = 151

substitute x = 151 into (1)

151 + y = 217 ( subtract 151 from both sides )

y = 66

the 2 numbers are 66, 151

Answer:

C. 3((x+4) + (x-2))

Step-by-step explanation:

Area of a triangle: [tex]\frac{1}{2}bh[/tex]

Area of the left triangle:

[tex]\frac{1}{2}(x+4)(6)[/tex]

The 6 multiplied by the 1/2 equals 3, so:

[tex]A = 3(x+4)[/tex]

Area of the right triangle:

[tex]\frac{1}{2}(x-2)(6)\\[/tex]

Again, the 6 multiplied by the 1/2 equals 3, so:

[tex]A= 3(x-2)[/tex]

Adding the two areas together equals:

[tex]3(x+4) + 3(x-2)[/tex]

We can factor out the 3 from both, giving us the final answer:

[tex]A = 3((x-4)+(x-2))[/tex]

Answer:

15

Step-by-step explanation:

the arrow is showing exactly in-between the 10 and 20 which means it is 15

Answer:

need a photo

Step-by-step explanation:

willl give correct answer if photo

Answer:

The answer is 8.75<3

Answer:

the correct answer is 7.50

Step-by-step explanation:

because they are telling to measure how much will 6lbs will scost them in the chart when you look at six and go up to the line it lines up with 7.50

Answer:

132 cm cubed

Step-by-step explanation:

so if [tex]\pi[/tex] = 3

cylinder 1 =  3 x 2 x 2 x 7 = 84 cm cubed

cylinder 2 - 3 x 4 x 4 x 1 = 48 cm cubed

all together = 84 + 48 = 132 cm cubed

area of this object = 132 cm cubed

Answer:

it would be A.2/3

Step-by-step explanation:

I hope this helps if not please let me now

​

Answer:

Should be A

Step-by-step explanation:

Because of BIDMAS do the division first and then the multiplication.

Do :
8/9 divided by 2/3

so: 8/9 * 3/2 = 24/18

24/18 *  1/2 = 24/36

24/36 simplified is 2/3

Therefore the answer is A

Answer:

x = 25

Step-by-step explanation:

Given:

Since ∠A is equivalent to ∠B...

[tex]\implies (7x - 8)= (6x + 17)[/tex]

Open the parenthesis:

[tex]\implies 7x - 8= 6x + 17[/tex]

Add 8 both sides:

[tex]\implies 7x - 8 + 8= 6x + 17 + 8[/tex]

Simplify both sides:

[tex]\implies 7x = 6x + 25[/tex]

Subtract 6x both sides:

[tex]\implies 7x - 6x = 6x - 6x + 25[/tex]

Simplify both sides:

[tex]\implies x = 25[/tex]

Answer:

 x = 25

Step-by-step explanation:

Putting Both angels together:

Since,

m∠A = (7x - 8)°

m∠B = (6x + 17)°

Then,

(7x-8) = (6x+17)

Solving for x:

7x - 8 = 6x + 17

    + 8           +8

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

7x = 6x + 25

-6x   -6x    

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

x = 25

Hence Answer is 25

~Lenvy~

The length of this pendulum that makes one full swing is 3.93 meters.

Mathematically, the time taken by this pendulum is given by this formula:

[tex]\rm T=2\pi \sqrt{\dfrac{L}{32}}[/tex]

Making L the subject of the formula, we have:

[tex]\rm T=2\pi \sqrt{\dfrac{L}{32}}\\\\32T^2=4\pi ^2L\\\\L=\dfrac{32T^2}{4\pi ^2}\\\\[/tex]

Substitute all the values in the formula

[tex]\rm L=\dfrac{32T^2}{4\pi ^2}\\\\ L = \dfrac{32 \times 2.2^2}{4 \times 3.14 ^2\\}\\\\ L =\dfrac{154.88}{39.43}\\\\L=3.93 \ m[/tex]

Hence, the length of this pendulum that makes one full swing is 3.93 meters.

Read more about pendulum here:

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Answer:

Basically if your coming from edge its 4 ft so B

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

Generally, rulers, yardsticks and tape measures are marked in 16ths 8ths and quarter inches

Answer:

1/8

Step-by-step explanation:

that is the answer

Answer:

As sample sizes increase, the sampling distributions approach a normal distribution. With "infinite" numbers of successive random samples, the mean of the sampling distribution is equal to the population mean (µ).

Answer:

  A

Step-by-step explanation:

The Corresponding Angles Postulate tells you corresponding angles are congruent where a transversal crosses parallel lines.

The converse of that postulate tells you the lines are parallel if the corresponding angles at a transversal are congruent.

__

Choice A matches the proof you're asked to provide.

Answer:

B) -5y + 3x = 7 is linear.

Step-by-step explanation:

Since this equation has no exponents on the x or the y, no variable as an exponent, no variable inside a radical, it is a linear function. If you graph it, you will get a line.

Check the picture below.

Answer:

119

Step-by-step explanation:

I did the math on a calculator

Answer:

i cannot see the photo to well whats the question?

nvm its A yw

Step-by-step explanation:

brainliest

Probability of an event is the measure of its chance of occurrence. The correct probabilities are:

Suppose that the sample space is S. Out of which there are two events, A and B, subsets of S.

Then, we can interpret P(A|B) as the probability of that part of A which is in B, with the new sample space as B. (assuming probabililty of B isn't 0).

Symbolically, we write it as:

[tex]P(A|B) = \dfrac{P(A \cap B)}{P(B)}[/tex]

For three sets, A, B and C:

[tex]n(A \cup B \cup C) = n(A) + P(B) + P(C) - n(A\cap B) - n(A \cap C) - n(B \cap C) + n(A \cap B \cap C)[/tex]

The problem is incomplete. The corresponding venn diagram is attached below.

We can symbolize the venn diagram as:

[tex]n(A) = 12+8+6+5 =31\\n(B) = 11+8+5+3 = 27\\n(C) = 4+8+6+3 = 21\\n(A \cap B) = 5+8=13\\n(B\cap C) = 3+8=11\\n(A \cap C) = 6+8=14\\n(A \cap B \cap C) = 8[/tex]

S = sample space = collection of all unique elements.

S is union of A, B and C.

[tex]n(S) = n(A \cup B\cup C) = 31 + 27 + 21 -13-11-14+8 = 49[/tex]

Checking all the options for their correctness:

We have:

[tex]P(A|C) = P(A\cap C)/P(C) = \dfrac{n(A\cap C)/n(S)}{n(C)/n(S)} = \dfrac{n(A \cap C)}{n(C)} = \dfrac{14}{21} =\dfrac{2}{3}[/tex]

Thus, its correct.

[tex]P(C|B) = P(C\cap B)/P(B) = \dfrac{n(C\cap B)/n(S)}{n(B)/n(S)} = \dfrac{n(C \cap B)}{n(B)} = \dfrac{11}{27} \neq \dfrac{8}{27}[/tex]

Thus, this option is incorrect.

Thus, this option is incorrect.

[tex]P(C) = \dfrac{n(C)}{n(S)}= \dfrac{21}{49} =\dfrac{3}{7}[/tex]

Thus, its correct.

[tex]P(B|A) = P(B\cap A)/P(A) = \dfrac{n(B\cap A)/n(S)}{n(A)/n(S)} = \dfrac{n(B\cap A)}{n(A)} = \dfrac{13}{31} \neq \dfrac{13}{27}[/tex]

Thus, this option is incorrect.

Thus, the correct probabilities are:

Learn more about probability here:

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Answer:

A. Madrid has a higher monthly average and its monthly temps vary more.

Step-by-step explanation:

I got this right on the quiz.

If your answer turns out to be wrong it can be due to the answers being mixed and/or i didnt read the chart you gave correctly

my apologies if i get it wrong.

Answer:

A.

Step-by-step explanation:

for given Triangle

sin A = cos B is always

Costuet

Hence option d is career

                                                                    [tex]given\ \ \ \ \ < C=90\textdegree[/tex]

[tex]In\ \Delta\ ABC;\ \ \ \ \ < A+ < B+ < C=180[/tex]

                                  [tex]A+B=180-C[/tex]

                                  [tex]A+B=180-90=90[/tex]

                                         [tex]A=90-B[/tex]

                [tex]taking\ sine\ on\ noth\ side[/tex]

                             [tex]sin\ A=sin(90-B)\\ sin\ A=cos\ B[/tex]

               [tex]Henee\ ophon\ 'd'\ is\ cgrrect.[/tex]

I hope this helps you

:)

Explanation:

Use the intersecting chords theorem to find x

JN*NK = MN*NL

(3x+6)*16 = (7x-11)*14

48x+96 = 98x-154

96+154 = 98x-48x

250 = 50x

50x = 250

x = 250/50

x = 5

This means,

JN = 3x+6 = 3(5)+6 = 21

JK = JN+NK = 21+16 = 37

Answer:

t = 1 sec   5 meters

Step-by-step explanation:

When the object hits the ground , height = 0

   0    = (5t+5)(1-t)      so t = -1(throw out...can't have negative time value) or 1  

As the object is dropped, t = 0    sub that in to the equation

h = (5(0)+5)(1-0) = 5 meters  

Answer:

3/4 = 6/10 = 0.6

Step-by-step explanation:

cos is Division of Adjacent side by hypotenuse

Answer:

B. Step 2

Step-by-step explanation:

When moving 2a to the left, you would need to subtract, not add. You would get 1a instead of 5a.

Answer:

Step-by-step explanation:

So here this question is of concept linear equations. As in linear equations we assumes the unknown number as an variable after that an equation would be formed which we would solve and get the answer. Here also we would be doing same.!!

Let us assume the first consecutive positive integer as m. Therefore, second and third consecutive number would be (m + 1) and (m + 2) respectively.

Refer to the attachment now.