A swimming pool that is 10 feet, 20 feet long, and 4 1/2 feet deep. how much water can this swimming pool hold (to the top of the pool)?

The required equation will be y ≤ 1/3 x - 4

The standard form of a linear equation is y = mx + b

Using the coordinate points (0, -4) and (3, -3)

m = -3+4/3-0

m = 1/3

Since the line cross the y-axis at y = -4, henc b = -4

Get the required equation;

y = mx + b

y = 1/3x - 4

Since the line is solid and shaded below, hence the required equation will be y ≤ 1/3 x - 4

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Answer:

8 flags can be chosen for the first position

7 flags are left for the second position

6 flags are left for the third position

8 * 7 * 6 = 336

Step-by-step explanation:

a geometric sequence means every new element is created by multiplying the previous element always with the same number.

a n = a n-1 * number

a n = a1 * number^(n-1)

=> a8 (or g(8)) / a3 (or g(3)) = number^5 (5=8-3)

=> 32/1 = number^5

=>

[tex]number = \sqrt[5]{32} [/tex]

number = 2

and what is the starting a1 ?

it must satisfy e.g. a3

1 = a1 * 2^2

=> a1 = 1/4

therefore, the requested definition looks like

g(1) = 1/4

g(n) = g(n-1) * 2

Answer:

624ft

Step-by-step explanation:

yeah you're welcome

484ft ^2

10x12x0.5=60

14x13=182

182+60=242 ft^2

242ft^2x2=484 because there are 2 of each of the visible sides

edit i messed up and changed my answer  

Answer:

A

Step-by-step explanation:

120 is the starting value, aka the price of the painting in 2014 before it is increased.

The solution of the expression is,

⇒ x = - 160

An expression which is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division is called mathematical expression.

Given that;

The expression is,

⇒ log₄ (- 4x)  - log₄ 10 = 3

Now,

We can solve as;

⇒ log₄ (- 4x)  - log₄ 10 = 3

⇒ log₄ (- 4x/ 10) = 3

⇒ - 4x/10 = 4³

⇒ - 4x / 10 = 64

⇒ - 4x = 640

⇒ x = - 160

Thus, The solution of the expression is,

⇒ x = - 160

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Answer:

Neither triangle

Step-by-step explanation:

Define an irrational number that cannot be written as a fraction (denominator of 1 or 0 does are excluded).

Both triangles are good examples of common Pythagorean triples.

The Pythagorean theorem states that for any right triangle, the following is true:

[tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.

Using this theorem we can solve for the hypotenuse of both triangles:

Triangle 1:

[tex]3^2+4^2=h^2,\\h^2=25,\\h=5\:\text{(rational)}[/tex]

Triangle 2:

[tex]0.5^2+1.2^2=h^2,\\h^2=1.69,\\h=1.3\:\text{(rational)}[/tex]

Answer:

1 1/2

Step-by-step explanation:

2 2/3 - 1 1/6 = ?

The LCD here is 6.  Convert 2 2/3 so that the denominator is 6:

2 2/3 = 2 4/6

Then subtract 1 1/6 from 2 4/6:  We get 1 3/6, or 1 1/2

Answer:

10 classrooms

Step-by-step explanation:

Divide it.

If each class needs 1 gallon, 10/1=10

Answer:

Simple! Just plug in each x value into the equation above. Or, you could just plug the equation into a graphing calculator and find the point from there.

Step-by-step explanation:

f(3) = 16

f(4) = 21

f(5) = 26

f(8) = 41

Please do mark as brainliest. Hope this helps! :)

Answer:

depends on the cases. they all have different uses

Answer: 2970

Step-by-step explanation:

First, you do the first exponent in the first part which is 10^3 and the answer for that is 1000. Then you do 2.4x1000 which is 2400. Afterwards you do the second part's exponent which is 10^2 and you get 100 for that. Next, you do 5.7x100 which is 570. Finally you add 2400+570 and get 2970.

Answer:

Step-by-step explanation:

(2.4 x 10³) + (5.7 x 10²)

(2.4 x 1000) + (5.7 x 100)

2400 + 570

2970

Answer:

the third one.........

[-2,0] and (7,oo)

It is the only one that matches

HOPE This helps!

Answer:

C. The number of tiles needed to cover Region Z  is the same as the number of tiles needed to cover both Region X and Region Y.

Step-by-step explanation:

Step-by-step explanation:

s3d4drks3ks2srddex5v5

Answer:

F= -2.5

Step-by-step explanation:

divide both sides by two in order to isolate f.

by dividing by 2 on the left hand side it cancels out the /2 leaving you with only f

then because you divided the left hand side by 2 you need to do the same on the right therefore giving you -5/2 which equals -2.5

The value of f in the equation is -10.

'In mathematics, a variable is a symbol and placeholder for a quantity that may change. In particular, a variable may represent a number, a vector, a matrix, a function, the argument of a function, a set, or an element of a set.'

According to the given problem,

First we need to isolate the variable f:

⇒ [tex]\frac{f}{2}+ 9 = 4[/tex]

Now, transposing 9 to the right hand side,

⇒ [tex]\frac{f}{2}[/tex] = 4 - 9

⇒ [tex]\frac{f}{2} = -5[/tex]

⇒ f= ( -5 * 2 )

⇒ f= -10

Hence, the required value of the variable f is -10.

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Answer:

-3/4

Step-by-step explanation:

change them to improper fractions

-5/2 - (-7/4)

now multiply -5/2 by two so the denominators are the same

-10/4 - (-7/4)

subtracting a negative number is the same as adding a positive number

-10/4 + 7/4

= -3/4

Answer:

im gonna say 24

Step-by-step explanation:

Answer:

Answer:

58

Step-by-step explanation:

It is going to be 58 because that is the more "random" number. It is does not fit with the rest of your numbers.

Answer:

the outlier is 58. it skews the data

Step-by-step explanation:

Answer:

(f  ° g)(x) = 20x + 7

Step-by-step explanation:

(f  ° g)(x) = f(g(x)) = 5(4x - 1) + 12 = 20x - 5 + 12 = 20x + 7

Answer:

53 minutes

Step-by-step explanation:

3:08-4:08 is exactly 1 hour

4:01-4:08 is 7 minutes difference

1 hour minus 7 minutes is 53 minutes

hope this helped! have a great day :)

The solution is : Ethan for 53 minutes baked the cake .

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

given that,

Ethan puts a cake in the oven to bake at 3:08 p.m. The cake is done at 4:01 p.m.

now, we have to find the time for the cake baked.

now, we get,

3:08-4:08 is exactly 1 hour

then, we have,

4:01-4:08 is 7 minutes difference

so, we get,

from 3.08pm to 4.01pm, the difference is:

1 hour minus 7 minutes is 53 minutes

Hence, The solution is : Ethan for 53 minutes baked the cake .

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Answer:

Step-by-step explanation:

What is the probability that a customer ordered

a hot drink given that he or she ordered a large?

So we are looking for the percentage of a hot drink and a Large.

Our list:

Small

Medium Large

Hot

5

48

22

8

12

5

Cold

He can tell there is 10% atleast for hot and 0% for a large

The probability that a customer ordered a hot drink given that he or she ordered a large is 22%

Probability denotes the possibility of the outcome of any random event.

Given that a table of the first 100 customers' orders at a coffee shop.

We need to find the probability that a customer ordered a hot drink given that he or she ordered a large,

= 22 / 100

= 22%

Hence, the probability that a customer ordered a hot drink given that he or she ordered a large is 22%

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Answer:

(3x6) / 6 is the correct answer

Answer:

Thus 3 is the answer to the question

Answer:

El cliente puede ordenar una comida en 60 formas distintas.

Step-by-step explanation:

El cliente escoge una entrada de las cinco opciones disponibles, luego un plato principal de cuatro opciones disponibles y un postre de tres opciones disponibles. Es costumbre consumir primero una entrada, después un plato principal y finalmente, un postre.

Estadísticamente hablando, se debe considerar un producto de tres combinaciones, puesto que el orden no importa a la hora de pedir, como sigue:

[tex]n = _{5}C_{1}\times _{4}C_{1}\times _{3}C_{1}[/tex] (1)

Donde:

[tex]n[/tex] - Total de combinaciones al ordenar una comida (entrada, plato principal, postre)

[tex]_{5}C_{1}[/tex] - Combinaciones posibles para pedir una entrada.

[tex]_{4}C_{1}[/tex] - Combinaciones posibles para pedir un plato principal.

[tex]_{3}C_{1}[/tex] - Combinaciones posibles para pedir un postre.

Ahora, desarrollamos la operación:

[tex]n = \frac{5!}{(5-1)!}\times \frac{4!}{(4-1)!} \times \frac{3!}{(3-1)!}[/tex]

[tex]n = 5\times 4\times 3[/tex]

[tex]n = 60[/tex]

El cliente puede ordenar una comida en 60 formas distintas.

Answer:

$2.40 a peice for one bagel

Answer:A:√7+√3+√98−√18 Part B:3√5−3√11+2√121−3√90. 1.

Step-by-step explanation:

Answer:

y = -10/3x + 5

Step-by-step explanation:

Hi there!

We are given that a line has a slope of -10/3, and a y intercept of 5

We want to write the equation of this same line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

As we are already given the slope and y intercept, we can simply substitute these values into the format for slope-intercept form to find the equation of the line!

Starting with the slope, substitute -10/3 as m in y=mx+b

y = -10/3x + b

Now for the y intercept, substitute 5 as b in the equation

y = -10/3x + 5

Hope this helps!

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Answer:

The probability that the second number is odd is 50%.

Step-by-step explanation:

Given that Malik randomly picked two different numbers from 1 to 9, and the first one was odd, to determine what is the probability that Malik picked a second odd number given that the first number was odd, the following calculation must be performed:

Odd numbers = 1 - 3 - 5 - 7 - 9 = 5 odd numbers

Even numbers = 2 - 4 - 6 - 8 = 4 even numbers

4/8 = 0.5 x 100 = 50%

Therefore, if from 1 to 9 an odd number was obtained, 8 numbers remain, of which 4 are odd. Therefore, the probability that the second number is odd is 50%.

Answer:

The answer for plato is 2/9

Step-by-step explanation:

What is the probability that the sum of the two numbers Malik picks is less than 5, given that the first number is odd and less than 5?

Answer:

Time spend in walking = 3.2 hour = 3¹/₅ hour

Step-by-step explanation:

Given:

Total time taken = 4 hour

Speed when run = 8 mph

Speed when walk = 2 mph

Find:

Time spend in walking

Computtaion:

We know that;

Time = Distance / Speed

Assume;

One side distance = D

So,

D/8 + D/2 = 4

2D + 8D = 64

10D = 64

D = 6.4

So,

One side distance = 6.4 mile

Time spend in walking = One side distance / Speed when walk

Time spend in walking = 6.4 / 2

Time spend in walking = 3.2 hour = 3¹/₅ hour