It cost Layla $4.70 to send 47 text messages. How many text messages did she send if she spent $15.10?

The curve intersects the vertical lines when

[tex]x=2 \implies y = \dfrac1{2+2^3} = \dfrac1{10}[/tex]

and

[tex]x=3 \implies y = \dfrac1{2+3^3} = \dfrac1{29}[/tex]

Split up the region into washers of thickness [tex]\Delta y[/tex].

For [tex]-1\le y\le\frac1{29}[/tex], the inner and outer radii of each washer will be constant, with outer radius [tex]x=3[/tex] and inner radius [tex]x=2[/tex]. Each washer in this interval will contribute a total volume of

[tex]\pi (3^2 - 2^2) \Delta y = 5\pi\,\Delta y[/tex]

For [tex]\frac1{29} \le y \le \frac1{10}[/tex], the washers will have a varying outer radius of length

[tex]y=\dfrac1{2+x^3} \implies x = \sqrt[3]{\dfrac1y - 2}[/tex]

and inner radius [tex]x=2[/tex]. Their volumes are

[tex]\pi \left(\left(\sqrt[3]{\dfrac1y - 2}\right)^2 - 2^2\right) \, \Delta y = \pi \left(\left(\dfrac1y - 2\right)^{2/3} - 4\right) \, \Delta y[/tex]

Let [tex]\Delta y\to0[/tex]. Then as the number of washers goes to infinity, the total volume of the solid converges to the definite integral

[tex]\displaystyle 5\pi \int_{-1}^{1/29} dy + \pi \int_{1/29}^{1/10} \left(\left(\dfrac1y - 2\right)^{2/3} - 4\right) \, dy[/tex]

The first integral is trivial, but the second one requires hypergeometric functions to evaluate exactly. With a calculator, we find the approximate volume to be 0.117884.

Answer:

ayannah is correct

Step-by-step explanation:

Ayannah is correct becauseyou can divide both 19 and 133 by 19 which gives you 1/7. 1/7 isn't divisible by anything else so that's the simplest form.

Answer:

Ayanna is correct because 19/133= 1/7

Step-by-step explanation:

Simplest form means reducing fractions to its lowest term.

The area of circle of diameter 10 inches is 25π in.² and,

area of circle of radius 8 cm is 64π cm².

How is Area of circle is calculated ?

Area of circle is calculated using formula :

A = πr²

1) It is given that diameter of circle is 10 inches then the radius will be half of it that is :

d = 10 inches

r = 5 inches

Now calculating the area of circle using the above formula :

A = πr²

A = π(5)²

A = 25π in.²

2) It is given that radius of circle is 8 cm then calculating area using above formula :

A = πr²

A = π(8)²

A = 64π cm²

Therefore, the area of circle of diameter 10 inches is 25π in.² and,

area of circle of radius 8 cm is 64π cm².

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Answer:

the answer is 378

Step-by-step explanation:

jist multiply 126 by 3

The categorical data in the table is the number of holes (option 1).

Categorical variables are variables that can only take on a fixed or a limited number of values. Categorical variables are examples of qualitative data.

Categorical variables can be binary. This mean that they can either have two values. An example of categorical variable is yes or no. Binary variables can also be called  dichotomous variable. A categorical variable is polytomous if can have more than two values.

In this question, the maximum hole number possible is 18 holes. The number of holes cannot exceed this number. Thus, the hole number is limited or fixed. Thus, hole number is a categorical data.

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Answer: wouldn't that be 10 feet and 8 feet?

Step-by-step explanation:

because they both are the same size on both sides

and i have no clue if that helped

Answer:

Area of two rooms is 357 square feet

Length of the baseboards = 89.5 ft

Step-by-step explanation:

Area of the room = length * width

Area of the two rooms = area of bigger room + area of smaller room

                                       = 19 * 15 + 8 * 9

                                        = 285 + 72

                                        = 357 square feet

To find the length of the baseboard, we need to subtract the width of the opening (5 feet) and width of the entry (2 1/2 feet) from the perimeter of the bigger room and subtract the width of the opening (5 feet) from the perimeter of the smaller room.

Bigger room:

length = 19 ft

Width = 15 ft

Width of the entry =  2 1/2 ft = 2.5 ft

Width of the opening between two rooms = 5 ft

Perimeter of bigger room = 2l + 2w - 5 - 2.5

                                          = 2*19 + 2*15 - 7.5

                                          = 38 + 30 - 7.5

                                           = 60.5 ft

Smaller room:

length =  8ft

Width = 9 ft

Width of the opening = 5 ft

Perimeter of the smaller room = 2*8 + 2*9 - 5

                                                   = 16 + 18 - 5

                                                   = 29 ft

Length of the base board = 60.5 + 29

                                           = 89.5 ft

The height of the cannonball not equal to 0 when time equals 0 because initial height of the cannonball is above the ground

From the graph, we have the y-intercept to be

y-intercept = (0, y), where y > 0

This means that the graph starts above the origin

This in other words mean that the initial height of the cannonball is above the ground (e.g. it could be on a building)

Hence, the height of the cannonball not equal to 0 when time equals 0 because initial height of the cannonball is above the ground

In this case, the domain is from t = 0 till the ball lands on the floor, while the range is from the initial height of the cannonball till the maximum height

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Answer: -1<b≤4

Step-by-step explanation:

3b-5>-8 or b-4≤0

3b>-3 or b≤4

b>-1 or b≤4

-1<b≤4

Answer:

378 people ordered fries

Step-by-step explanation:

60% of 630 is

60/100 × 630

= 3/5 × 630

= 3 × 126

= 378

Answer: -0.25x+y=7/8

Step-by-step explanation:

y = 0.25x + 7/8

-0.25x+y=7/8 ==>Subtract 0.25x from both sides to get the Ax+By=C format

Answer:

is it a im not sure im probably wrong

Answer:

B

Step-by-step explanation:

2^4 x 7^4 = (2 x 7)4 = 14^4

The range is the set of y outputs. In this case, the range is the profit.

A negative profit means the company lost money. This is when the cost is larger than the revenue. For instance, if the revenue was $100 but the cost is $150, then the profit = revenue - cost = 100-150 = -50 to signal they lost $50.

Positive profit means the company made money.

The x intercept represents the break-even point. This is where the company neither loses money, nor gains money. The profit is $0 here.

Answer/Step-by-step explanation:

In order to open a restaurant you have to rent a venue, furnish and decorate it, hire a staff and buy food and drinks. Before serving (selling) any meals you have to spend a lot of money. This is why the negative y-values.

At the point where the line crosses the x-axis (horizontal axis) you now begin to have a positive output to your operation. If you sell enough meals, you will turn a profit. That is, you make enough money to pay all those start-up expenses and still have money left over to keep!

Answer:

-x^2y^2+6x^2y-3xy^2-5

Step-by-step explanation:

It kind of depends on what you are planning to do with the following expression. However, if you are looking to simplify the expression, the solution is:

[tex]6x^2y-3xy^2+x^2y^2-9[/tex]

Hope this helps! If not, feel free to comment below and I will see what else I can do to help. If it did help, lmk! Thanks and good luck!

Answer:10

Step-by-step explanation:

Answer:

{-12, 8}

Step-by-step explanation:

Let's solve your equation step-by-step.

|p+2|=10

Solve Absolute Value.

|p+2|=10

We know eitherp+2=10orp+2=−10

p+2=10(Possibility 1)

p+2−2=10−2(Subtract 2 from both sides)

p=8

p+2=−10(Possibility 2)

p+2−2=−10−2(Subtract 2 from both sides)

p=−12

Answer:

Step-by-step explanation:

298°+29°+(-116+x)°=360°

x=360°-298°-29°+116°

x=149°

Step-by-step explanation:

298°±29°±(-116±x°)=360

x=360°-298°-29°+116°

x=149°

The apartment in santa fe  is less expensive

Rent in an-square-meter apartment in Monte Carlo = 1000 euros.

rent on a 450-square-foot apartment in Santa Fe  =  $900

To Find:

Which apartment is less expensive =?

Price per area in Monte Carlo

Cost per square meter in Monte Carlo

=>total rent / total area

=>1000/1

=> 1000euros per square meter

Converting to euros per square meter to dollars per square foot

1 Euro per square meter=  0.102355924 U.S. dollars per square foot

1000 euros per square meter = 0.102355924 x 1000 = 102.3559U.S. dollars per square foot------------------------(1)

Price per area Santa Fe, New Mexico

=>900/450

=>2

=> 2dollars per square foot-------------------------(2)

From (1) and (2)

102.3559> 2

Hence, The apartment in santa fe  is less expensive

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Answer:

b. x = -3

Step-by-step explanation:

3x + 6 = -3

     - 6 | - 6 (isolate variable)

3x = -9

/3  |  /3  (isolate variable_

x = -3

Answer:

10 is the jk because x + 8 is 10

I hope it will help

Answer:

11 units

Step-by-step explanation:

It's clear that,

JL = JK + KL

Given that,

JK ⇒ ( x + 8 )

KL ⇒ 10

JL ⇒ 7x

So, by using these data we can make an expression like this.

JL = JK + KL

7x = x + 8 + 10

Now make x the subject and find the value of x.

7x = x + 8 + 10

7x = x + 18

7x - x = 18

6x = 18

6x/6 = 18/6

x = 3

And now let us find the value of JK.

JK ⇒ x + 8

To, find the value of JK we have to replace with 3.

JK ⇒ x + 8

JK ⇒ 3 + 8

JK ⇒ 11 units

The solution of y are 1.82 and -0.22

The general expression for quadratic equation is given as :

                  ax² + bx + c = 0

The quadratic formula of the above equation is given as

              x = -b ± √b²-4ac / 2a

According to the question we have been the expression as

          5y² - 8y = 2

Converting it into general expression we get

         5y² - 8y - 2 = 0

Putting the required value in above quadratic formula we get

    y = -(-8) ± √(8)² - 4*5*(-2) / 2*5

    y = 8 ± √64 + 40 / 10

    y = 8 ± √104 / 10

    y = (8 ± 10.2)/10

y = 8 + 10.2 / 10       and    y = 8-10.2 / 10

y = 18.2 / 10              and    y = -2.2/10

y = 1.82               and   y = -0.22

Hence the solution of y are 1.82 and -0.22

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Answer:

Step-by-step explanation:

2/4

Answer:

Choice A: 11

Step-by-step explanation:

We have x² - y² = 19

x² - y²  = (x + y)(x-y)

So (x + y)(x-y) = 19

Since x and y are integers as per the first statement (x, y ∈ Z), we also have x + y = integer and x-y = integer

Take (x + y)(x - y) = 19

Since 19 is prime its only factors are 1 and 19

So we have two situations which can satisfy the above
Either x + y = 1 and x -y  19 or x + y = 19 and x -y = 1

1. Let's try x + y = 1 and x - y = 19
Adding both equations together gives us 2x = 20 (y-terms cancel)

==> x = 10 ==> 10 + y = 1 or y = -9

So 2x - 9 => 2(10) - (-9)  = 20 + 9 = 29

This is not one of the choices so we can go on to the next case

2 Let's take x + y = 19 and x - y = 1

Adding these two equations gives us
2x = 20, x = 10 as before

Use 10 in the equation x + y = 19

==> 10 + y = 19

==> y = 19 - 10 = 9

2x - y ==> 2(10) - 9 ==> 20 - 9 = 11

So answer is choice A:  11

The subset of A is B = {1, 2} and the proper subset of A is C = {1,2,3,4}

The set is given as:

A = {1,2,3,4}

Subsets of a set are sets that can be found in another set

An instance of this is

B = {1, 2}

Because all the elements of set B are in set A

Proper subsets of a set are sets that contain the exact elements found in another set

An instance of this is

C = {1,2,3,4}

Because set C and set A have the same elements

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Answer:

a. leisure

b. £189

c.£ 1610

Step-by-step explanation:

Answer:

36 unit^2.

Step-by-step explanation:

Area = base * perpendicular height

        = 6 * 6

        = 36.

Answer:

10.125 i know it hope thisbhelps

Step-by-step explanation:

Answer: x=3

Step-by-step explanation:

2(4x - 3) - 8 = 4 + 2x

8x - 6 - 8 = 4 + 2x

8x - (6 + 8) = 4 + 2x

8x - 14 = 4 + 2x

8x - 14 + 14 = 4 + 14 + 2x

8x = 18 + 2x

8x - 2x = 18 + 2x - 2x

6x = 18

6x/6=18/6

x=3

x = 3

first you want to distribute 2 to 4x and -3

8x-6 -8 = 4 +2x

then you subtract the numbers on the left side

8x-6-8
8x-14= 4 +2x

then we want to rearrange the 4 and 2x

8x - 14 = 2x+4

the add 14 to each side and move 2x to both sides

6x=18

then divide

x=3

if this helps Brainliest me on this answer thanks :)))

Answer:The answer would be 16.3p +(-10)

Step-by-step explanation: 13.6p + 2.7p is 16.3

                                               -8-2 is -10

                                              so the answer would be 16.3p +(-10)