Find the equations of the vertical and horizontal tangent lines of the following ellipse.
16x2 + y2 - 128x + 3y + 256 = 0

Answer:

The length and width and height is already given.

Length is: 3 1/2

Width is: 1 1/2

Height is: 2 1/2

The volume of this would be all given lengths multiplied.

Whenever you find an area of a 3 dimensional shape you always multiply the given lengths so: 3 1/2 x 1 1/2 x 2 1/2 = 13 1/8 cm3

Answer:

13 cm

Step-by-step explanation:

use pythagorean theorem

Answer:

$3.99 per watermelon

Step-by-step explanation:

$39.90 total paid divided by 10 watermelons is $3.99

Answer:

The I is 12.

Step-by-step explanation:

You dont count the slang when you are finding the area, im not good at explaining but its basically just 12x9. 12x9=x. X is the area- aka 108. Divide 108 by the 9 in the rectangle. IM BAD AT EXPLAINING SORRY

Answer:

36

Step-by-step explanation:

(figure out length of triangle)24-12=12

(find full length of base which is equal to L of rectangle)24+12=36

Answer:

7.94

Step-by-step explanation:

[tex]a^{2} + 9^{2} =12^{2} \\a^{2} +81 = 144\\a^{2} = 63\\a = \sqrt{63} \\a= 7.93725[/tex]

Answer:

-p - 30

Step-by-step explanation:

Hope this helps

Answer:

-p-30

Step-by-step explanation:

4p-5(p+6) Distribute -4 to p and 6

4p-5p-30 simplify by adding the p variables

-p-30

Answer:

-4 is your answer

Step-by-step explanation:

Answer:

Im sorry but i can't read it

Step-by-step explanation:

Answer:

1st answer =10

2nd answer=4

3rd answer=12

4th answer=8

Answer:

260,000

Step-by-step explanation:

The value decreases by 40,000 per year (500000-42000/2 years) the value will decrease by 240000 in six (4 years plus 2 years already passed) years. 6 x 40,000 =240000

So, the value should be 260,000 (500000-240000)

Or

year 1 500000-40000=460000

year 2 460000-40000=420000

year 3 420000-40000=380000

year 4 380000-40000=340000

year 5 340000-40000=300000

year 6 300000-40000=260000

The machine's resale value Garland Mills purchased in 4 years from now will be; $353,049

We are told that the machines present resale value is $420000. Now formula for future value is;

Future value = present value * exp(cx)

Thus;

$420,000 = $500,000 * exp(2c)

420000/500000 = exp(4c)

2c = In(420000/500000)

c = -0.087

Future value = present value * exp(cx)

Future value = $500,000 * exp(-0.087 * 4)

Future value = $353,049

Therefore, the machine's resale value in 4 years from now will be  $353,049

Read more about future value amount at; https://brainly.com/question/13961729

9514 1404 393

Answer:

  1367 people

Step-by-step explanation:

The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...

  i(t) = 1000(1.2^(t/7))

After 12 days, the number infected is modeled as ...

  i(12) = 1000(1.2^(12/7)) ≈ 1367

About 1367 people are infected 12 days after discovery.

Answer:

The answer to this question is A

Step-by-step explanation:

Answer:

V= 742.4 in³

Step-by-step explanation:

V= L x W x H = (20)(8.25)(4.5) = 742.4 in³

Answer:

answer is b.

Step-by-step explanation: use formula

V=1/3(hπr²)

so using this formula gives us 1275.62897 but rounded off gives us 1,275.63 ft3

Answer:

the sides are 6, 20, and 22

Step-by-step explanation:

n + 3n + 2 + 2n + 10 = 48

combine like terms:

6n + 12 = 48

subtract 12 from each side of th equation:

6n = 36

divide both sides by 6:

n = 6

the sides are 6, 20, and 22

Answer:

73%

Step-by-step explanation:

Answer:

73 percent

Step-by-step explanation:

Its because 1.00 would be 100 percent and .50 would be 50 percent so .73 would be 73 percent

Answer:

...

Step-by-step explanation:

the vertex is (-1 , 0)

false

true

the domain is R (all real numbers) ( -♾, +♾ )

the range is negative infinity -♾

Answer:

1) x=65

2) x= 70

3) x= 40

4) x= 131

5) x= 75

6) x= 49

7) x= -12

8) x= 42

Answer:

The first derivative of [tex]y = \sinh^{-1} (x^{2}+1)[/tex] is [tex]y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}[/tex].

Step-by-step explanation:

We proceed to find the first derivative of [tex]y = \sinh^{-1} (x^{2}+1)[/tex] by explicit differentiation and rule of chain:

[tex]y = \sinh^{-1} (x^{2}+1)[/tex]

[tex]y' = \frac{2\cdot x}{\sqrt{(x^{2}+1)^{2}+1}}[/tex]

[tex]y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}[/tex]

The first derivative of [tex]y = \sinh^{-1} (x^{2}+1)[/tex] is [tex]y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}[/tex].

Answer:

5/8

Step-by-step explanation:

there are 8 slices.

if he and his friends eat 5 pieces, they ate 5 out of 8 pieces.

in maths, we write 5 out of 8 like 5/8

hope this helped, any questions - just ask

good luck,

-cheesetoasty

Answer:

In my sketch the angle between their flights is 135°

So wouldn't we just have the cosine law??

x^2 = 120^2 + 150^2 - 2(120)(150)cos135°

carry on, take care with the cos135, since it will be negative

Answer:

23.1%

Step-by-step explanation:

Given data

monthly taxable income was $3276.54

Tax= $757.24

Percentage of tax paid= tax paid/monthly income* 100

Percentage of tax paid=757.24/3276.54* 100

Percentage of tax paid=0.231* 100

Percentage of tax paid=23.1%

Answer:

sorry if im rong but im prety sure its d

Step-by-step explanation:

Answer:

Step-by-step explanation:

d

Answer:

$69

Step-by-step explanation:

$115 x 0.4 = $46 discount

$115 - 46 = $69

Answer:

$69

Step-by-step explanation:

115/100=1.15

1.15(40)=46

115-46=69

Hope this helps

Answer:

t = 11 min

and

t = 18 min

Step-by-step explanation:

When we have unidimensional motion, the sign of the velocity defines the direction.

So we could say that a positive velocity like:

v = 4ft/min

Means that you are moving to the right with a speed of 4 feet per minute.

And a negative velocity like:

v = -3 ft/min

means that you are moving to the left with a speed of 3 feet per minute.

Then the bug changes direction when the velocity changes of sign.

In the graph, we can see that the velocity changes of sing in two points, these points are:

t = 11 min

and

t = 18 min

Answer:

The t-value is t = 1.65.

Step-by-step explanation:

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

The average length of a flight by regional airlines in the United States has been reported as 464 miles.

This means that the null hypothesis is [tex]H_{0}: \mu = 464[/tex].

Simple random sample of 30 flights by regional airlines were to have a mean of 476.9 miles and a standard deviation of 42.8 miles

This means that [tex]n = 30, X = 476.9, s = 42.8[/tex]. So

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{476.9 - 464}{\frac{42.8}{\sqrt{30}}}[/tex]

[tex]t = 1.65[/tex]

The t-value is t = 1.65.

Answer:

-5 63/100

Step-by-step explanation:

Answer:

The shape is a triangle, not a quadrilateral.

Step-by-step explanation:

A= hbb/2 = 11·15/2 = 82.5

The area of the triangle is 82.5 yd².