A. K=3/2 and y=15
B. K=1/4 and y=5

Answer: (1, 0)

Step-by-step explanation:

1/3 means rise over run. Up one is Y=0, three over is +1 for the x coordinate.

Step-by-step explanation:

Answer:

18. 2,970 orbits.

19. 12,00 pounds

20. Vic’s town by 52,000

Step-by-step explanation:

This question is incomplete, the complete question is;

find the critical points and classify them as local maxima, local minima, saddle points, or none of these.

f(x,y) = (x + y)(xy + 1)

Answer:

(x,y) = (-1, 1), (1, -1) area critical points

f(xx) =2y, fyy =2x,f(xy) =2x + 2y, D = f(xx)fyy - f(xy² )

at (-1, 1)

f(xx) = 2 ,fyy =-2,f(xy) = 0, D = -4 < 0 saddle point

at (1, -1)

f(xx) = -2, fyy =2,f(xy) =0, D = -4 < 0 saddle point

Step-by-step explanation:

Given that;

f(x,y) = (x + y)(xy + 1)

f(x,y) =x²y + xy² + x + y

for critical points fx =0 ,fy =0

fx = 2xy + y² + 1 = 0, fy = x² + 2xy + 1 = 0

2xy + y² + 1 = 0, x²+ 2xy + 1 = 0

2xy + y² + 1 - x² - 2xy - 1 = 0

x² = y²

=> x = y, x = -y

2xy + y² + 1 = 0, x = y

2yy + y² + 1 = 0

3y² = -1 , no solution

2xy + y² + 1 = 0, x = -y

-2yy + y² + 1 = 0

=> -y2 + 1 = 0

=> y = -1, y = 1  

y = -1 => x = 1, y = 1 => x = -1  

(x,y) = (-1, 1), (1, -1) area critical points

f(xx) =2y, fyy =2x,f(xy) =2x + 2y, D = f(xx)fyy - f(xy² )

at (-1, 1)

f(xx) = 2 ,fyy =-2,f(xy) = 0, D = -4 < 0 saddle point

at (1, -1)

f(xx) = -2, fyy =2,f(xy) =0, D = -4 < 0 saddle point

Answer:

Step-by-step explanation:

their difference is 16

x - y = 16

⇒ x = 16 + y

their ratio is 5:7

x/y = 5/7

substitute:

(16 + y)/y  = 5/7

16 + y = (5y)/7

112 + 7y = 5y

2y = -112

y = -56

x - y = 16, so x -  -56 = 16,

x+56 = 16

x = 16-56

x = -40

Answer:

66%

Step-by-step explanation:

According to a study conducted by the World Health Organization, 66% of adults in high-income countries are overweight. Even though the exact reason for this is not known, there are two main theories. The first one is that individuals make more money and therefore have extra income to spend on food, mainly junk food such as snacks, ice cream, candy, etc. The second theory is that due to the large number of work hours that individuals in these countries have to put in, they tend to eat more often at fast food places such as McDonald's and Burgerking.

Answer:

the phoenicians willingness to travel lead to their civilization as sailors traveled farther for trade they established colonies for their homeland some of these colonies became powerful city states phoenicians also spread parts of their culture and economy to the people that they traded with.

Step-by-step explanation:

Answer:

[tex]\dfrac{800 \pi}{7} \ miles/min[/tex]

Step-by-step explanation:

From the given information:

We learned that the light rotates 8 revolutions per minute.

Therefore;

[tex]\dfrac{d \theta}{d t}= \dfrac{8 * 2 \pi}{1 \ min}[/tex]

[tex]\dfrac{d \theta}{d t}= 16\pi \ rads/min\\[/tex]

From the trigonometry formula, the tanget of the lighthouse in relation to the  closest point on a straight shoreline can be expressed as:

[tex]tan \theta = \dfrac{x}{7}[/tex]

By differentiation with respect to t; we have:

[tex]\dfrac{d(tan \theta)}{dt} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]

[tex]\dfrac{d(tan \theta)}{d \theta}* \dfrac{d \theta}{dt} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]

By applying the chain rule:

[tex]sec^2 * \dfrac{d \theta }{d t} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]

[tex](1 + tan ^2 \theta) \dfrac{d \theta }{dt} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]

When x = 3 ; we have [tex]tan \theta = \dfrac{1}{7}[/tex]

[tex]\bigg (1 + \dfrac{1}{49} \bigg ) \dfrac{d \theta }{dt} = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]

Also;

[tex]\dfrac{d \theta}{d t}= 16\pi \ rads/min\\[/tex]

[tex]\bigg (1 + \dfrac{1}{49} \bigg ) 16 \pi = \dfrac{1}{7} * \dfrac{dx}{dt}[/tex]

[tex]\bigg ( \dfrac{50}{7} \bigg ) 16 \pi = \dfrac{dx}{dt}[/tex]

[tex]\dfrac{dx}{dt} = \dfrac{800 \pi}{7} \ miles/min[/tex]

Answer:

Your answer is: x = 8/3 , -10/3

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Hope this helped : )

Answer:

Pb (Lead)

General Concepts:

The number of protons in the nucleus of an element determines where it is on the Periodic Table and what element it is.

Step-by-step explanation:

Given: 82 Protons

Looking at the Periodic Table, the element that has 82 protons is Lead (Pb).

Answer: 3/4

Step-by-step explanation: 15 simplified is 3 and 20 simplified is 4

3/4

Answer:

16.5cm

Step-by-step explanation:

[tex]perimeter = 2(l + w)\\l = 3 + w\\perimeter = 60\\2(l + w) = 60\\sub (l = 3 + w) for - l\\2((3+w) + w) = 60\\2(3 + w + w) = 60\\2(3 + 2w) = 60\\6 + 4w = 60\\4w = 60 - 6\\4w = 54\\w = \frac{54}{4}\\w = 13.5\\\\substitute- w= 13- into 2(l = 3 + w)\\l = 13.5 + 3\\l = 16.5[/tex]

Answer:

its 15

Step-by-step explanation:

i took the quiz and google

Answer:

15 lollsss

Step-by-step explanation:

The question is incomplete:

You have space in your garden for 60 small flowering bulbs. Crocus bulbs cost $0.25 each and daffodil bulbs cost $0.85 each. Your budget allows you to spend $39.00 on bulbs. How many crocus bulbs and how many daffodil bulbs can you buy?

Answer:

You can buy 20 crocus bulbs and 40 daffodil bulbs.

Step-by-step explanation:

From the information provided you can write the following equations:

x+y=60 (1)

0.25x+0.85y=39 (2), where:

x is the number of crocus bulbs and y is the number of daffodil bulbs.

First, you can solve for x in (1):

x=60-y (3)

Then, you can replace (3) in (2):

0.25(60-y)+0.85y=39

15-0.25y+0.85y=39

0.60y=39-15

y=24/0.60

y=40

Finally, you can replace the value of y in (3) to find the value of x:

x=60-40

x=20

According to this, the answer is that you can buy 20 crocus bulbs and 40 daffodil bulbs.

Answer: it’s -32,0! - 10 on the left and -7 on the right because of you start at -12,14 you get the y value to 0 and increase by 10 since it is shown to be a increase in each x and y value

Step-by-step explanation:

Answer:

y=x-3

Step-by-step explanation:

Answer:

x=96

Step-by-step explanation:

Since x varies inversely as [tex]y^{2}[/tex], x*[tex]y^{2}[/tex] = k

sub x=6, y=8 into x[tex]y^{2}[/tex] = k  =>  6*64 = k => k= 384

so when y =2, x = 384/ ([tex]2^{2}[/tex]) = 384/4 = 96

Done :)

Answer:

Airplane covers a distance of approximately 50.265 feet in 4 minutes.

Step-by-step explanation:

From Rotation Physics we know that angular speed is the number of revolutions done by a particle at a given time. If the boy is twirling a model airplane at constant speed, then we calculate such variable as follows:

[tex]\dot n = \frac{n}{t}[/tex] (Eq. 1)

Where:

[tex]\dot n[/tex] - Angular speed, measured in revolutions per minute.

[tex]n[/tex] - Number of revolutions done by airplane, measured in revolutions.

[tex]t[/tex] - Time, measured in minutes.

Now we clear the number of revolutions done by airplane within expression:

[tex]n = \dot n \cdot t[/tex]

If we know that [tex]\dot n = 0.5\,\frac{rev}{min}[/tex] and [tex]t = 4\,min[/tex], then we get that number of revolutions is:

[tex]n = \left(0.5\,\frac{rev}{min} \right)\cdot (4\,min)[/tex]

[tex]n = 2\,rev[/tex]

The airplane made two revolutions in four minutes.

Now, the distance covered by the airplane ([tex]s[/tex]), measured in feet, is calculated by means of the equation below:

[tex]s = 2\pi\cdot l\cdot n[/tex]

Where:

[tex]l[/tex] - Length of the string, measured in meters.

[tex]n[/tex] - Number of revolutions done by airplane, measured in revolutions (dimensionless).

If we get that [tex]n = 2\,rev[/tex] and [tex]l = 4\,ft[/tex], then the distance covered by the airplane in 4 minutes is:

[tex]s = 2\pi\cdot (4\,ft)\cdot (2\,rev)[/tex]

[tex]s \approx 50.265\,ft[/tex]

Airplane covers a distance of approximately 50.265 feet in 4 minutes.

Answer:

2.1 or 2 1/10

Step-by-step explanation:

brainlist plz I really need it

Answer:

2 lip glosses

explanation

4x8= 32

50-32=18

2 lipglosses would be $20

32+20=52

52>50 meaning she qualifies for free shipping

4 eye shadows -- 8 x 4 = $32

lip glosses $10 -- 32 + 10 + 10 = $52

to qualify for free shipping, wendy needs to buy 2 lip glosses.

Answer:

"if no deposits or withdrawals..." and "this account may generate income..." are both an Investment Account

Step-by-step explanation:

and the other two are for a savings account

Answer: 30

Step-by-step explanation:

If s is 2, the new equation would be 15x2, which is 30.

Answer:

30

Step-by-step explanation:

[tex]15 \times 2 = 30[/tex]

I think this is the answer

Answer:

The answer is 9

Step-by-step explanation:

The number marbles were neither red nor yellow is 9.

Given that, a bag of 28 marbles 1/4 the marbles were red and 3/7 were yellow.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, the number of red marbles = 1/4 × 28

= 7

The number of yellow marbles = 3/7 × 28

= 12

Total number of red and yellow marbles = 7+12 = 19

Neither red nor yellow = 28-19=9

Therefore, the number marbles were neither red nor yellow is 9.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Answer:

1.55

Step-by-step explanation:

Answer:

1/45

Step-by-step explanation:

7/15-4/9

LCM=45

21-20/45

1/45

Answer:

1/45

Step-by-step explanation:

math

Answer:

x=52.5

Step-by-step explanation:

2/3x-5=30

2/3x=35

x=52.5