what is the value of x?
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Lucy and Alicia should be planning to make 8 gallongs of lemonade.

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Have a wonderful day!

Answer:

Step-by-step explanation:

area of square=l^2

=12^2

=144 in.^2

Answer:

It is increasing before x = -2 and from x = 0 to x = 2

Step-by-step explanation:

Option 1 - you can see the line going down starting at -2 and that means the line is decreasing but the choice says "It is increasing before x = 0". This contradicts the actual graph.

Option 2 - The line isn't increasing before x= -1, it's actually decreasing as seen in the graph.

Option 3 - The line doesn't even touch the point before x = -3 so this choice makes no sense.

Option 4 - Since all the other choices were eliminated this is the only choice standing. Looking at the line it is increasing before x = -2.

Answer:

13.5

Step-by-step explanation:

(0.95)^x = ½

x = ^0.95 log ½

= 13.5

Answer:

ratio=AC/FD=AB/ED=BC/FE

Step-by-step explanation:

Answer:

The vertex of the parabola is [tex]V(x,y) = (0, 3)[/tex].

Step-by-step explanation:

In this case, the vertex of the parabola is the absolute maximum of the graph, that is, the point [tex]V(x,y) = (0, 3)[/tex].  Mathematically speaking, the vertex of the parabola is represents the only point of the range ([tex]y[/tex]) which is related to an only value of the domain ([tex]x[/tex]).

Answer: 0.8<800

Step-by-step explanation:

Answer:

it's the first one

Step-by-step explanation:

sorry if im wrong but i think it's right

Answer:

its the first

Step-by-step explanation:

first see how much it increases (1/2x)

and then where on the y line its crossing (+4)

sorry for bad english

Answer:

E.

Step-by-step explanation:

[tex](a^{\frac{2}{3}} b^{\frac{1}{3}}) ^\frac{1}{2} = a^{{\frac{2}{3}} \times\frac{1}{2}} \times b^{{\frac{1}{3}} \times \frac{1}{2} } = a^{\frac{1}{3}} b^{\frac{1}{6}}[/tex]

Answer:

"a removable discontinuity that can be removed by extending the function to include f(1) = 13"

Step-by-step explanation:

We have the function:

[tex]f(x) = \frac{x^2 + 11*x - 12}{x - 1}[/tex]

Here we have a problem when x = 1, because that makes the denominator to be equal to zero.

For now, let's see what happens to the numerator when x = 1

1^2 + 11*1 - 12 = 12 - 12 = 0

So x = 1 is a root of the numerator.

Let's find the other root of the numerator, here we can use Bhaskara's formula:

[tex]x = \frac{-11 \pm \sqrt{11^2 - 4*1*(-12)} }{2*1} = \frac{-11 \pm 13}{2}[/tex]

Then the two roots are:

x = (-11 + 13)/2 = 1

x = (-11 - 13)/2 = -12

And remember that a quadratic equation:

y = a*x^2 + b*x + c

With roots p and k, can be written as:

y = a*(x - p)*(x - k)

Then we can rewrite our numerator as:

1*(x - 1)*(x - (-12)) = (x - 1)*(x + 12)

Replacing that in the equation for f(x), we get:

[tex]f(x) = \frac{x^2 + 11*x - 12}{x - 1} = \frac{(x - 1)*(x + 12)}{(x - 1)} = \frac{x - 1}{x -1} *(x + 12)[/tex]

f(x) = x + 12

And, when evaluated in x = 1, we get:

f(1) = 1 + 12 = 13

Then the correct option is:

"a removable discontinuity that can be removed by extending the function to include f(1) = 13"

Answer:

C

Step-by-step explanation:

I said so

It should be noted that a table where the constant rate of change is 6 inches for every foot will be:

1 foot = 6 inches

2 foot = 12 inches.

3 feet = 18 inches.

4 feet = 24 inches

5 feet = 30 inches.

It should be noted that an expression is used to show the relationship about the numbers given. In this case, it should be noted that there's a constant rate if 6 inches for every foot.

This means that there will be a difference of 6 inches for each foot.

Therefore, 1 foot = 6 inches

2 foot = 2 × 6 = 12 inches.

3 feet = 3 × 6 = 18 inches.

4 feet = 4 × 6 = 24 inches

5 feet = 5 × 6 = 3 inches.

This illustrates that that there is a constant relationship.

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Answer:

The expected winnings of the player in one game = 2.55

Step-by-step explanation:

Given - A blue die and a red die are thrown in a game. If the sum of the two numbers is 7 or 11, the player wins $10. If the sum of the two numbers is 12, then the player wins $20. In all other cases, the player loses a dollar.

To find - What are the expected winnings of the player in one game ?

Solution -

Given that,

A blue die and a red die are thrown in a game.

The Sample Space becomes -

S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

       (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

       (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

       (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

       (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)

       (6, 1), (6, 2), (6, 3), (4, 4), (6, 5), (6, 6) }

So,

n(S) = 36

Now,

Let A be the outcome that, the sum of the two numbers is 7 or 11

A = {(1, 6), (2, 5), (3, 4), (4, 3), (5, 2),  (6, 1)

       (6, 5), (5, 6) }

So,

n(A) = 8

So,

P(A) = n(A)/ n(S)

       = 8/ 36

       = 2/9

⇒P(A) = 2/9

Now,

Let B be the outcome that, the sum of the two numbers is 12

B = {(6, 6)}

So,

n(B) = 1

So,

P(B) = n(B)/ n(S)

       = 1/ 36

⇒P(B) = 1/36

Now,

Expected value, E(x) = ∑ x P(x)

                                  = 10 × P(A) + 12 × P(B)

                                  = 10 × 2/9 + 12 × 1/36

                                  = 20/9 + 12/36

                                  = (20×4 + 12)/36

                                  = (80 + 12)/36

                                  = 92/36

                                  = 2.55

⇒Expected value, E(x) = 2.55

∴ we get

The expected winnings of the player in one game = 2.55

Answer:

0.04 or 4/100

Step-by-step explanation:

Think of a percentage as a very lazily written fraction. 4% = 4/100

Just convert the fraction to a decimal.

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hope it helps

Answer:

See below...

Step-by-step explanation:

For a function whose formula is in this pattern:

[tex]y=A\sin\left(B(x-C)\right)[/tex]

Amplitude: [tex]|A|[/tex]

Period: [tex]\frac{2\pi}{B}[/tex]

Phase Shift:  C

In this question, [tex]A=4,\,B=2,\,C=\frac{3\pi}{4}[/tex]

Amplitude: 4

Period: [tex]\frac{2\pi}{2}=\pi[/tex]

Phase Shift: [tex]\frac{3\pi}{4}[/tex]

There is no vertical shift, so the midline is the x-axis whose equation is y = 0.

Also, because there is no vertical shift, the maximum is 4 and the minimum is -4.

The graph is attached.

Answer:

the displayed green time for the traffic movement is 30 seconds

Step-by-step explanation:

Given the data in the question;

Cycle length; C = 70 seconds

Displayed all-red time; AR = 2 seconds

Displayed yellow time; Y = 5 seconds

Effective red time; r = 37 seconds

total lost time per cycle; [tex]t_L[/tex] = 4 seconds

the displayed green time for the traffic movement; G = ?

First we determine the Effective green time ( g );

Effective red time; r = Cycle length; C - Effective green time ( g )

so,

Effective green time ( g ) = C - r

we substitute

Effective green time ( g ) = 70 seconds - 37 seconds

Effective green time ( g ) = 33 seconds

Now,

Effective green time ( g ) = displayed green time; G + Displayed yellow time; Y + Displayed all-red time; AR - total lost time per cycle; [tex]t_L[/tex]

i.e

g = G + Y + AR - [tex]t_L[/tex]

we substitute

33 = G + 5 + 2 - 4

33 = G + 3

G = 33 - 3

G = 30 seconds

Therefore, the displayed green time for the traffic movement is 30 seconds

Answer:

I don't see an option Gas to liquid but the correct answer will be gas to liquid.

Explanation:

If u heat water will evaporate and form water vapour (gas form). Anytime heat is released from a gas, it will change forms to be a liquid. It is like reverse condensation.

Answer:

the video is 4 hours and 25 minutes

Step-by-step explanation:

first you need to subtract 30 minutes from 5:25 giving you 4:55, then you need to find the difference in minutes from 2:30 to 4:55 by subtracting them or just counting because you cannot subtract units of time like they are real numbers. giving you 4 hours and 25 minutes

Answer:

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

Step-by-step explanation:

The sign on the 'x' changes, this implies a reflection.

g(x) = -f(x) = -(x+1) = -x -1

Now apply a vertical translation 'up 5' to f(x)

g(x) = -f(x) + 5 = (-x-1) +5 = -x +4

siti = x

Janice = 35.50$

Janice = 10.35 + x = 35.50

x = 35.50 - 10.35

x = 25.15

Siti = 25.15$

Amiya = y

Amiya = y - 12.80 = 25.15

y = 25.15 - 12.80

y = 13.25$

Answer: The ladder reaches 14.46 feet up of the building.

Step-by-step explanation:

According to Pythagorean theorem,

In a right triangle,

(Hypotenuse)²= (Base)²+(perpendicular)^2

Using given information, we have

[tex](15)^2=(4)^2+(height)^2\\\\225=16+(height)^2\\\\(height)^2=209\\\\ (height)^2=\sqrt{209}\approx14.46\ feet[/tex]

Hence, the ladder reaches 14.46 feet up of the building.

Answer: The answers are A and B

Step-by-step explanation:

Ap3x

The domain and range of function Y = sin X will be all the real numbers and  [tex]-1\leq y\leq 1[/tex].

The domain is the set of values for which the given function is defined.

The range is the set of all values which the given function can output.

We have been given a function Y = sin X.

We need to find the domain and range of function .

Here we can see that the given function is a sine function.

So, the domain of the function would be all the real numbers.

also, The range will be [tex]-1\leq y\leq 1[/tex].

Therefore, options A and B are the correct answer.

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Answer:

the answer is :.......

x+x+x

Answer:

x+x+x

Step-by-step explanation:

Answer:

70.69

Step-by-step explanation:

Area = [tex]\pi r (r + \sqrt{h^2+r^2} )[/tex]

Area = [tex]\pi (2.5) (2.5 + \sqrt{(6)^2+(2.5)^2} )[/tex]

Area = 70.68583471

Area = 70.69

Answer:-5

Step-by-step explanation:

Hello!

-6-4/2 = -10/2=-5

Hope this helps, have a great day!

Answer:

w=-8

Step-by-step explanation:

2w+22=-6(w+7)

2w+22=-6w-42

8w+22=-42

8w=-64

w=-8

Therefore, w=-8

Answer:

w = -8

Step-by-step explanation:

2w+22=-6(w+7)

2w+22 = -6w - 42

8w +22 = -42

8w = -64

w= -64/8

w = -8