Find the limit of the function algebraically lim (x^2 -36 / x+6 ) x ->6

Answer:

1808.64 IN^3

Step-by-step explanation:

Helium needed = volume of spherical shaped ice cream + volume of cone

Volume of a sphere = 4/3 x pi x r^3

4/3 x 3.14 x 6^3 = 904.32 ft^3

Volume of a cone 1/3 x (nr^2h)

n = 22/7

r = radius  = 12/2 = 6

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

h = height

1/3 x 3.14 x 6^2 x 24 = 904.32

helium needed = 2 x 904.32 = 1808.64 in^3

Answer:

d. 15

Step-by-step explanation:

Putting the values in the shift 2 function

X1 + X2 ≥ 15

where x1=  13, and x2=2

13+12≥ 15

15≥ 15

At least 15 workers must be assigned to the shift 2.

The LP model questions require that the constraints are satisfied.

The constraint for the shift 2 is that the  number of workers must be equal or greater than 15

This can be solved using other constraint functions e.g

Putting  X4= 0 in

X1 + X4 ≥ 12

gives

X1 ≥ 12

Now Putting the value X1 ≥ 12  in shift 2 constraint

X1 + X2 ≥ 15

12+ 2≥ 15

14 ≥ 15

this does not satisfy the condition so this is wrong.

Now from

X2 + X3 ≥ 16

Putting X3= 14

X2 + 14 ≥ 16

gives

X2  ≥ 2

Putting these in the shift 2

X1 + X2 ≥ 15

13+2 ≥ 15

15 ≥ 15

Which gives the same result as above.

Answer:

omg lol look at the picture are u that guy

Step-by-step explanation:

its me from web2.0 :KOBE2482

D its D

Answer:

1 r 4

Step-by-step explanation:

 0 1

6 1 0

− 0  

 1 0

−   6

   4

Answer:

Graph each side of the equation. The solution is the x-value of the point of intersection.

x≈−10.37392996

Step-by-step explanation:

Answer:

0.000376 in standard form

=3.76×10^-4

Answer:

(-4, 2)

Step-by-step explanation:

this is a simultaneous equation;

solving by substitution method, we have;

since y= ¼x + 3 and the same y= 2x + 10

therefore we combine both equations;

¼x + 3= 2x+10

3-10=2x-¼x

to clear out fraction, multiply throughout by 4

-28= 8x-x

-28= 7x

x= -28/7

x= -4

since x is -4, therefore All we have to do is to substitute x into y, doing this, we have;

y=2x+10

y= 2(-4) + 10

y= -8 + 10

y= 2

therefore y= 2 and x= -4

so the values are (-4, 2)

if you still don't understand, check your NGM SS2 textbook or make a comment and I will explain better

Answer:

Hii friend

I am from India and u ??

Roshini here !!!!

Answer:

B. 4

Step-by-step explanation:

∠4 is an alternate exterior angle with ∠2 because both angles are on the exterior of the lines, and lie on opposite ends on the transversal.

The angle that is an alternate exterior angle with angle 2 is angle 4.

Parallel lines are those lines that are equidistance from each other and never intersect each other.

Given that;

The figure is shown in figure.

Now,

Since, ∠4 is an alternate exterior angle with ∠2 because both angles are on the exterior of the lines, and lie on opposite ends on the transversal.

Hence, ∠4 is an alternate exterior angle with angle 2.

Thus, The angle that is an alternate exterior angle with angle 2 is angle 4.

Learn more about the parallel lines visit:

https://brainly.com/question/26961508

#SPJ2

Answer:

The value of x is 14.

Step-by-step explanation:

3x° = (x + 28)° [ vertically opposite angles

are equal]

3x = x + 28°

3x - x = 28°

2x = 28°

x = 28°/2

x = 14°

Answer:

1. 490.6 mm²

2. 14.1 ft²

Step-by-step explanation:

1. 3.14×(12.5)²= 3.14 × 156.25 =490.6mm²

2. ½×3.14×3²= 3.14×4.5= 14.1 ft²

Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.

Step-by-step explanation:

SsxcAnswer:

Step-by-step explanation:

Answer:

b,c and A

Step-by-step explanation:

Answer:

Honestly I dont really know

Step-by-step explanation:

Answer:

awnser is 36

Step-by-step explanation:

Answer:  x = 37

Step-by-step explanation:

you can use the pythagorean theorem to solve this:

[tex]a^{2} + b^{2} = c^{2}[/tex]

'a' and 'b' in the equation is referring to the legs of the right triangle, or the sides adjacent to the hypotenuse (which is the side opposite the right angle)

plug in the legs into the equation and you get :

[tex]12^{2} + 35^{2} = x^{2}[/tex]

now to solve that we just square 12 and 35 and you get

144 + 1225 = [tex]x^{2}[/tex]

1369 =  [tex]x^{2}[/tex]

x = [tex]\sqrt{1369}[/tex]

x= 37

:))

Answer:

i belive the correct awnser is A

Step-by-step explanation:

9514 1404 393

Answer:

  A  figure 1

Step-by-step explanation:

The given equation is in slope-intercept form:

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

The slope and y-intercept in your equation are both 2. That means the graph crosses the y-axis at y=2 (above the x-axis), and has a positive slope (goes up to the right.

The two top graphs, figures 1 and 2, show lines with positive slope. Only figure 1 shows a graph with positive slope and a positive y-intercept.

Answer:

-20

Step-by-step explanation:

cause i did the math hope this helped :D

I used a calculator, the answer is

-20

9514 1404 393

Answer:

  23)  35.77 in²

  25)  48.19 cm²

Step-by-step explanation:

Use the appropriate area formula with the given information.

__

23) The area of a triangle is given by the formula ...

  A = 1/2bh . . . . . base b, height h

  A = 1/2(9.8 in)(7.3 in) = 35.77 in²

__

25) The area of a parallelogram is given by the formula ...

  A = bh . . . . . . base b, height h

  A = (7.9 cm)(6.1 cm) = 48.19 cm²

_____

The height in each figure is measured perpendicular to the base. This tells you that the length 10.6 cm of the diagonal side of the triangle is not relevant to finding the area.

Answer:

23) 35.77 in2

24) 48.19cm2

Answer:

2012.032

Step-by-step explanation:

2012.032

Answer:

16,000, percentage increased by 20% (percent) of its value = 19,200

Step-by-step explanation:

Answer:

Hope the answer is by substracting

15999.8

Answer:

$963

Step-by-step explanation:

900 times 1.07=963

Answer:

48pi

Step-by-step explanation:

pi x 8² - pi x 4²

64pi - 16pi

48pi

Answer:

The host can only prepare 7 plates

Step-by-step explanation:

7 plates, each will contain 1 slice of cherry pie and 2 slices of pumpkin pie. (14/7 = 2)

Answer:

The limit of the (228.533, 234.735)

Step-by-step explanation:

The values are missing in the given question. Therefore, in order to attempt this question, we will make assumptions.

So, let's assume that:

sample size of the journal article that was reported = 5

which is applied for determining a 95% CI

Also, assuming that the resulting interval = (229.764, 233.504)

However, if we are to use a 99% CI which we deemed to be more appropriate;

Then, our objective is to find the limits of this particular interval in question.

To do that:

We need to first find the sample mean at 95% CI by using the formula:

[tex]\Big ( \bar {x} - t_{\alpha/2, df} \ \dfrac{s}{\sqrt{n}}}, \bar x + t_{\alpha/2, df} \ \dfrac{s}{\sqrt{n}}} \Big) = (229.764,233.504)[/tex]

Since; df = n - 1

df = 5 - 1

df = 4

Then;

[tex]\Big ( \bar {x} - t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}}, \bar x + t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}} \Big) = (233.504+229.764)[/tex]

[tex]2 \bar {x} = (463.268)[/tex]

[tex]\bar {x} =\dfrac{463.268}{2 }[/tex]

[tex]\bar {x} =231.634[/tex]

Sample mean = 231.634

Using the same formula to determine the standard deviation, we have:

[tex]\Big ( \bar {x} - t_{\alpha/2, df} \ \dfrac{s}{\sqrt{n}}}, \bar x + t_{\alpha/2, df} \ \dfrac{s}{\sqrt{n}}} \Big) = (229.764,233.504)[/tex]

[tex]\Big ( \bar {x} - t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}}, \bar x + t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}} \Big) = (233.504-229.764)[/tex]

[tex]\Big ( (\bar x + t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}} )- (\bar {x} - t_{\alpha/2, 4} \ \dfrac{s}{\sqrt{n}}}) \Big) = (233.504-229.764)[/tex]

[tex]\Big ( (\bar x + t_{0.05/2, 4} \ \dfrac{s}{\sqrt{4}}} )- (\bar {x} - t_{0.05/2, 4} \ \dfrac{s}{\sqrt{5}}}) \Big) = (233.504-229.764)[/tex]

At t = 0.025 and df = 4; = 2.776

[tex]2\times 2.776 \dfrac{s}{\sqrt{5}}= 3.74[/tex]

[tex]5.552 \dfrac{s}{\sqrt{5}}= 3.74[/tex]

[tex]\dfrac{s}{\sqrt{5}}= \dfrac{ 3.74}{5.552}[/tex]

[tex]\dfrac{s}{\sqrt{5}}= 0.6736[/tex]

[tex]s = 0.6736 \times \sqrt{5}[/tex]

s = 1.5063

The 99% CI is:

[tex]\implies \Big(\bar x \pm t_{\alpha/2,4} \dfrac{s}{\sqrt{n}} \Big)[/tex]

At t =0.005 and df =4; = 4.604

[tex]\implies \Big(231.634 \pm 4.604 \dfrac{1.5063}{\sqrt{5}} \Big)[/tex]

[tex]\implies \Big(231.634 \pm 4.604 (0.67364) \Big)[/tex]

[tex]\implies \Big(231.634 \pm 3.1014 \Big)[/tex]

[tex]\implies \Big((231.634 - 3.1014), (231.634 + 3.1014) \Big)[/tex]

[tex]\implies \Big( 228.533, 234.735 \Big)[/tex]

Answer:

sin S = 9/13

sin R= 8/13

cos S= 8/13

cos R= 9/13

Answer:

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

Step-by-step explanation:

We have the standard deviations for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 85 - 1 = 84

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 84 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.989.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.989\frac{1.2}{\sqrt{85}} = 0.26[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.26 = 4.24 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.26 = 4.76 days

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

92% confidence interval:

Following the sample logic, the critical value is 1.772. So

[tex]M = T\frac{s}{\sqrt{n}} = 1.772\frac{1.2}{\sqrt{85}} = 0.23[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.23 = 4.27 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.23 = 4.73 days

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

Answer:

E

Step-by-step explanation:

We can see that the graph is shifted up 3 units

to do this you need to add 3 to the equaton

it's E