One day 1 2 tried to make a pie. Unfortunately, she only had 3, and no sugar, so she decided to use 4 to sweeten it. The pie bubbled over in the oven and looked a mess. Not one to be discouraged, she decided to remedy the situation by covering the pie with 5 . When her 6 came over, and saw what she'd done, they 7 because 8 her pie ended up 9 but the 10 still needs to be cleaned

Answer:

The statement that correctly uses limits to determine the end behavior of f(x) is;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}= \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex] so the end behavior of the function is that as x → ±∞, f(x) → 0

Step-by-step explanation:

The given function is presented here as follows;

[tex]f(x) = \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}[/tex]

The limit of the function is presented as follows;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}[/tex]

Dividing the terms by x², we have;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{\dfrac{7 \cdot x^2}{x^2} + \dfrac{x}{x^2} + \dfrac{1}{x^2} }{\dfrac{x^4}{x^2} +\dfrac{1}{x^2} }= \lim\limits_{x \to \pm \infty} \dfrac{7 + \dfrac{1}{x} + \dfrac{1}{x^2} }{x^2 +\dfrac{1}{x^2} }[/tex]

As 'x' tends to ±∞, we have;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 + \dfrac{1}{x} + \dfrac{1}{x^2} }{x^2 +\dfrac{1}{x^2} } = \lim\limits_{x \to \pm \infty} \dfrac{7 + 0 + 0 }{x^2 +0 } = \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex]

However, we have that the end behavior of 7/x² as 'x' tends to ±∞ is 7/x² tends to 0;

Therefore, we have;

[tex]f(x) \rightarrow 0 \ as \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex]

The statement that correctly uses limits to determine the end behavior of f(x) is therefor given as follows;

[tex]\lim\limits_{x \to \pm \infty} \dfrac{7 \cdot x^2+ x + 1}{x^4 + 1}= \lim\limits_{x \to \pm \infty} \dfrac{7 }{x^2 }[/tex] so the end behavior of the function is that as x → ±∞, f(x) → 0.

Answer:

I'm going to say no

Step-by-step explanation:

Because y in the pair y is zero not 9.

Answer:

The answer are

A.

[tex] {f}^{ - 1} (x) = \frac{x + 3}{x - 2} [/tex]

B.

[tex] {f}^{ - 1} ( - 3) = 0[/tex]

Step-by-step explanation:

To find the infers we do that

[tex]f(x) = \frac{2 x + 3}{x - 1 } \\ (x - 1)f(x) = 2x + 3 \\ xf(x) - f(x) = 2x + 3 \\ xf(x) - 2x = f(x) + 3 \\ x(f(x) - 2) = f(x) + 3 \\ x = \frac{f(x) + 3}{f(x) - 2} \\ then \: \\ {f}^{ - 1} (x) = \frac{x + 3}{x - 2} \\ then \\ {f }^{ - 1} ( - 3) = \frac{ - 3 + 3}{ - 3 + 2} = 0[/tex]

Answer:

You must be 65.3 ft. closer

Step-by-step explanation:

The first triangle has a length x along the ground and a height of 50 with a 90 degree angle between the ground and the tree. The angle of elevation is 25 degrees.

By the definition of tangent:

tan(25)=50/x

Solve for x

x=50/tan(25)=107.225

The second triangle has a length y along the ground and a height of 50 with a 90 degree angle between the ground and the tree. The angle of elevation is 50 degrees.

By the definition of tangent:

tan(50)=50/y

Solve for y

y=50/tan(50)=41.955

The difference between x and y is how much closer to the tree you must be.

x-y=65.27

Answer:

hai :D

Step-by-step explanation:

Also try D

Answer:

Step-by-step explanation:

Part A

Givens

b1 = 265

b2 = 180

h  = 90

Formula

Area = (b1 + b2)*h / 2

Solution

Area = (265 + 180) * 90 / 2

Area = 445 * 90 / 2

Area = 40050 / 2

Area = 20025 square meters

Part B

1 hectare = 10000 square meters

x hectare = 20025 square meters         Cross multiply

x * 10000 = 20025 * 1                             Divide by 10000

x  = 20025 / 10000

x = 2.0025

Rounded to the nearest hectare that would be 2

Part C

The best shape is a square.

That would mean that the area is given by

s^2 = 20025

sqrt(s^2) = sqrt(20025)

s = 141.51

Each side of the rectangle (square) = 141.51

Answer:

C = 38.18°;  A = 40.57°

Step-by-step explanation:

B = 101' 15"

B = 101° + (15/60) = 101 + 0.25 = 101.25°

b =17.23cm,c=10.86cm

From Sine rule :

c/ sin C = b / Sin B

10.86 / sin C = 17.23 / sin 101.25

SinC = (sin 101.25 * 10.86) / 17.23

Sin C = 10.651328 / 17.23

Sin C = 0.6181850

C = Sin^-1(0.6181850)

C = 38.183716

C = 38.18°

Sum of angles in a triangle = 180°

A +  B + C = 180°

A + 101.25° + 38.18° = 180°

A = (180 - (101.25 + 38.18))

A = 40.57°

Answer:

Rational: 4.2, -11/5, 0.36

Irrational:

[tex] \sqrt{ \frac{1}{4} } [/tex]

[tex] \sqrt{8} [/tex]

[tex]\pi[/tex]

[tex] \sqrt{ \frac{3}{4} } [/tex]

Step-by-step explanation:

Hope this Helped

Answer:

65.5 feet per second

Step-by-step explanation:

In order to calculate the rate of descent we first need to find the difference in heigh that the hot air balloon descended. We do this by subtracting the initial height from the end height like so...

6,039 - 3,288 = 2,751 ft

Now that we have the difference in height we need to divide this by 42 since that is the amount of time it took for this descent to occur.

2,751 ft / 42s = 65.5 ft/s

Finally we can see that the rate of descent was 65.5 feet per second

Answer: why?

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

1. 42

2. d cuz it has nothing-

3. A

all im saying cuz ik u can do this

Answer:

number 1 is 52% i am  goin through them

Step-by-step explanation:

Answer:

0.186 mile rounded = 0.19

Step-by-step explanation:

the answer is 0.19

Answer:

is this even a equation

Step-by-step explanation:

Answer:

The answer is 4,276

I hope it helps

Answer:

$.65 (sixty five cents)

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

4/5 = .8

70% = .7

Answer:

4/5

Step-by-step explanation:

Answer:

No, stencil two does not overlap the original pattern exactly. Not all the points on stencil two coincide with the points on the original pattern. There is a subtle difference near the boundaries of the two shapes.

Step-by-step explanation:

Answer:

Penelope can read 6 pages in 5 minutes.

Step-by-step explanation:

You would use the equation 1.2x = P

P=how many pages    x=how many minutes

1.2(5) = 6

She can read 6 pages in 5 minutes

Answer:

y = - 2x + 1

Step-by-step explanation:

Substitute an x value from the table into the equation

x = 1 : y = - 2(1) = - 2 ← require to add 1 to obtain y = - 1

x = 4 : y = - 2(4) = - 8 ← require to add 1 yo obtain y = - 7

Then equation describing the relationship is

y = - 2x + 1

Answer:

145°

Step-by-step explanation:

upper left angle inside triangle is 180-137, or 43°

lower right angle inside triangle is 180-(43 + 102) or 35°

'?' measures 180 - 35 which is 145°

Answer:

around 39.27

Step-by-step explanation:

2*11*3.14=69.08/4=17.27+22=39.27

Answer:

309 miles per hour

Step-by-step explanation:

Divide the total distance traveled by the time.  So the answer is 1236 miles divided by 4 hours, or 309 miles per hour

Answer:

550 miles per hour

Step-by-step explanation:

Answer:

1 Centimeter per Hour: 1 Centimeter per hour is approximately equal to 2.777 778 x 10-6 meters per second (SI unit).

Step-by-step explanation:

1 Centimeter per Hour: 1 Centimeter per hour is approximately equal to 2.777 778 x 10-6 meters per second (SI unit).