Alejandro plans to begin filling his backyard pool with water at noon. Assume noon represents t = 0 for time t in minutes. The depth of water in the pool is the product of the rate at which the water flows into the pool and time. The total depth of the water when the pool is full is 120 centimeters.


a. Alejandro begins filling his pool 15 minutes later than planned. Write the function relating the time since noon to the rate r at which water flows into the pool. Graph the function.



b. Analyze the key features of the graph in the context of the situation.

Answer:

[tex]\pi = \frac{22}{7} = 3.143143[/tex]

Step-by-step explanation:

But my question is, what's your question??

Answer:

49π

Explanation:

I did the assignment on khan

Answer:

45

Step-by-step explanation:

Answer:

A, the first one

Step-by-step explanation:

Answer:

5.133333

Step-by-step explanation:

Answer:

I think the answer is 48

Step-by-step explanation:

2^3 = 8

8 x 5 = 40

40 + 8 = 48

Answer:

The value of the tangent is [tex]-\frac{4}{5}[/tex].

Step-by-step explanation:

Let be [tex]A(x,y) = (-10, 8)[/tex] on the terminal side of an angle in standard position and let be [tex]O(x,y)[/tex] the origin of the angle and the origin of the Cartesian plane. By definition of tangent, we make use of the following expression:

[tex]\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}[/tex] (1)

Where:

[tex]x_{A}, x_{O}[/tex] - x-Coordinates of point A and point O.

[tex]y_{A}, y_{O}[/tex] - y-Coordinates of point A and point O.

If we know that [tex]x_{A} = -10, x_{O} = 0[/tex], [tex]y_{A} = 8[/tex] and [tex]y_{O} = 0[/tex], then the value of the tangent is:

[tex]\tan \theta = \frac{y_{A}-y_{O}}{x_{A}-x_{O}}[/tex]

[tex]\tan \theta = \frac{8-0}{-10-0}[/tex]

[tex]\tan \theta = -\frac{4}{5}[/tex]

Answer:

-176

Step-by-step explanation:

Let x = -8

f(-8) = 11 (-8-24) / 2

         Simplify the parentheses

f(-8) = 11 ( -32)/2

        = 11 (-16)

        = 176

Answer:

12   50/50 chance

Step-by-step explanation:

Answer:

C. if 10x is the door she have to knock so the -30 is how much she will earn during the week and if she doesn't knock any then she will lose the whole $30 dollars . sorry i can't explain myself good but i think it is so

Answer: B and C (took the test)

Step-by-step explanation:

B. Her expenses are $30 per week

C. If she does not knock on any doors at all during the week, she will lose $30.

Answer:

[tex]47.3\,m[/tex] of garland is required for the length of the ceiling.

Step-by-step explanation:

Width of a rectangle ceiling [tex](w)=42 \,m[/tex]

Diagonal of a rectangle ceiling [tex](d)=70\,m[/tex]

Let [tex]l[/tex] denotes length of a rectangle ceiling.

The relationship between length, width and diagonal of a rectangle is given as follows:

[tex]d^2=l^2+w^2\\70^2=l^2+42^2\\4900=l^2+1764\\l^2=4900-1764\\l^2=2236\\l=47.3\,m[/tex]

So,

[tex]47.3\,m[/tex] of garland is required for the length of the ceiling.

Answer: 14

Step-by-step explanation:

Answer:

A. y = cos x

Step-by-step explanation:

The function that we see graphed has the point (0,1), this means whichever trig function f(x) it represents f(0) = 1.

Now, only the cosine function has the property that cos(0) = 1, thus choice A is the correct answer.

Step-by-step explanation:

Answer:

115.2

Step-by-step explanation:

I used Photo math and searched it hope this helps

Answer:

25

Step-by-step explanation:

We already have our first value 36 and the second value 144. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1 Y =  36/ 144

By multiplying both numerator and denominator by 100 we will get:

STEP 2 Y =  36/ 144  ×  100/ 100 =  25/ 100

STEP 3 Y = 25

Finally, we have found the value of Y which is 25 and that is our answer.

If you want to use a calculator to find 36 is what percent of 144, simply enter 36 ÷ 144 × 100 and you will get your answer which is 25

Answer:

3.14159369398579323..... and so on

Answer:

The first and third options.

Explanation:

Look at each column and add the number of families.

Answer: Standard Deviation

Step-by-step explanation:

I got it right on Acellus

Answer:

no, you shade below the line. you'd have to turn the inequality into slop intercept form, meaning y[tex]\leq[/tex]3/2x-5/2.

Answer:

19958

Step-by-step explanation:

20237-(-279)

20237+279

Answer: 7

Step-by-step explanation: use algebra to solve this. 4(x+2)=36

4x+8=36

4x+8-8=36-8

4x=28

x=7

Hope this helps

Answer:

x = 7

Step-by-step explanation:

4(x + 2) = 36

4x + 8 = 36

4x + 8 - 8 = 36 - 8

4x = 28

4x ÷ 4 = 28 ÷ 4

x = 7

Check:

4(x + 2) = 36

4(7 + 2) = 36

4(9) = 36

Answer:

y = -2x - 3

Step-by-step explanation:

y = -2x + b

-3 = -2(0) + b

-3 = 0 + b

b = -3

Answer:

1 line of symmetry

Answer:

4096

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

The two angles on the line should add up to 180! Because a straight line is 180 degrees!

Answer: 3/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Try dividing the first equation by 3.  The result will be identical to the second equation.  Thus, we have two lines that coincide, and therefore there are an infinite number of solutions.

Answer:

390 miles

Step-by-step explanation:

[tex]\frac{6.5}{4} :\frac{y}{240}[/tex]

y · 4 = 240 · 6.5

4y = 1560

4y ÷ 4 = 1560 ÷ 4

y = 390

Answer:

16,800 in^3

Step-by-step explanation:

Volume of a box = length x width x height

or base area x height

672 x 25 = 16,800 in^3

Answer:

-8, 8 are the numbers

Step-by-step explanation:

8x-8 = -64

8+ -8 =0