A function is a rule that assigns each value of the __variable to exactly one value of the dependent variable

Answer:

The answer is below

Step-by-step explanation:

Let x represent the length of the rectangular pen and y represent the width of the rectangular pen. Since the total area of the pen is 169 ft², hence:

Area = length * width

169 = xy

y = 169/x

Also the perimeter of the rectangular pen is:

Perimeter (P) = 2(length + width)

P = 2(x + y)

P = 2x + 2y

P = 2x + 2(169/x)

P = 2x + 338/x

The least amount of fencing is at dP/dx = 0, hence:

dP/dx = 2 - 338/x² = 0

338/x² = 2

2x² = 338

x² = 169

x = 13 feet

y = 169 / x = 169/13 = 13 feet

The least amount of fencing = P = 2(x + y) =  2(13 + 13) = 52 feet

Answer:

[tex]Longest = 2\frac{3}{4}\ in[/tex]

Step-by-step explanation:

Given

See attachment for plot

Required

The longest feather

To solve this, we simply identify the highest dataset represented on the line plot.

From the attached plot, we have:

[tex]Shortest = \frac{3}{4}[/tex]

and

[tex]Longest = 2\frac{3}{4}\ in[/tex]

Hence, the longest is: [tex]2\frac{3}{4}\ in[/tex]

Answer:

0.14

Step-by-step explanation:

If winning holds a probability of 0.5 and a draw holds a probability of 0.3, then that means that losing has a probability of 0.2 (1 - 0.5 - 0.7 = 0.2). Therefore, to find the probability of Vishi losing exactly one of the two games we need to multiply the probability of him losing one game by the probability of him winning or tying the second game like so...

0.2 * (0.5 + 0.3) = x

0.2 * 0.7 = x

0.14 = x

Finally, we can see that the probability of Vishi losing exactly one of the two games is 0.14

Answer:

6

Step-by-step explanation:

(whole secant) * (external part) = (tangent)^2

(KL) * (KM) = KJ^2

(KM+ ML) * KM = KJ^2

(2+ ML) * 2 = 4^2

(2+ ML) * 2 =16

Divide each side by 2

(2+ ML)  = 8

Subtract 2 from each side

ML = 6

Step-by-step explanation:

for a

for e

for d

for. c

for b

hope it helps.

Answer:

5x+5

______

x^2-2x this the correct one

Answer:

10 years

Step-by-step explanation:

Given :

Population of Canyon falls = 22500

Rate of decrease = 740 per year

Population after x years :

f(x) = 22500 - 740x ; x = number of years

Population of Swift Creek = 15200

Rate of Increase = 1500 per year

Population after x years :

f(x) = 15200 + 1500x ; x = number of years

Number of years when, population of swift creek will be twice that of Canyon falls

15200 + 1500x = 2(22500 - 740x)

15200 + 1500x = 45000 - 1480x

15200 - 45000 = - 1480x - 1500x

-29800 = - 2980x

x = 29800 / 2980

x = 10

After 10 years

Answer:

[tex] = 90 - 23 \\ = 46 \degree[/tex]

Answer:

Step-by-step explanation:

Order shouldn't make any difference.

3 C 4  = 4!/(3! 1!) = 4

Let's see if that is right.

1 2 3

1 2 4

1 3 4

2 3 4

Any other combination will produce a duplicate if order doesn't matter. For example

2 4 3 is the same thing as 2 3 4

Answer:

15x^2 + 23x = 4

Step-by-step explanation:

NOT BOX METHOD :

(-5x-1)(-3x-4)

=15x^2+20x+3x+4

=15x^2+23x+4

Answer:

No way its too blur XD

Step-by-step explanation:

sports

watching tv

reading books

surfing

and sleeping maybe

Answer:

Sports - 25%

Surfing - 25%

Reading Books - 20%

Watching TV - 25%

Malling - 5%

Step-by-step explanation:

Answer:

AIS correct information

Answer:

6

Step-by-step explanation:

We can use ratios to solve

15 ft            18ft

---------- = -----------

5ft               x

Using cross products

15x = 5*18

15x = 90

Divide by 15

15x/15 = 90/15

x =6

Answer:

the ans is 6

Step-by-step explanation:

bcz if u divide 15 by 3 =5 and 12by 3 =4 &18 by 3 =6

The x-intercept is when y=0. It is the point on the x-axis. Solve for x when y=0 in the first equation.

2x + 3(0) + 6 = 0

2x = -6

x = -3

x-intercept is (-3, 0).

The line we want has the same slope as the second equation because it is parallel. From the second equation,

-5y = -2x + 7

y = (2/5)x - (7/5)

The slope is 2/5.

Using the x-intercept and slope, along with the general form of the line y = mx + b , we can solve for b.

y = mx + b

0 = (2/5)(-3) + b

0 = (-6/5) + b

(6/5) = b

The equation we want is

y = (2/5)x + (6/5)

Step-by-step explanation:

drop some thanks plss ✌

follow too

Answer:

Given a line segment AB

open the compass more than half of the distance between A and B, and scribe arcs of the same radius centered at A and B.

Call the two points where these two arcs meet C and D. Draw the line between C and D.

CD is the perpendicular bisector of the line segment AB. Call the point where CD intersects AB E.

Step-by-step explanation:

for more help please follow

Answer:

Follow the steps below to construct a perpendicular bisector of a line segment.

Step 1: Draw a line segment XY of any suitable length.

Step 2: Take a compass, and with X as the center and with more than half of the line segment XY as width, draw arcs above and below the line segment.

Step 3: Repeat the same step with Y as the center.

Step 4: Label the points of intersection as 'P' and 'Q'.

Step 5: Join the points 'P' and 'Q'. The point at which the perpendicular bisector PQ intersects the line segment XY is its midpoint. Label it as 'O'.

Step-by-step explanation:

Answer:

.5 or (1/2)

.5  or (1/2)

2.5 or (5/2)

Step-by-step explanation:

all you really have to do is mulitply the numbers by .5

1*.5= .5

5*.5= 2.5

The correct expression  and diagram represent "three times a number" is shown in option 2.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

"three times a number"

Now,

Let a number = x

Hence, We get;

⇒  "three times a number"

⇒ 3 × x

⇒ 3x

Thus, The correct expression  and diagram represent "three times a number" is shown in option 2.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Answer:

40 cm

Step-by-step explanation:

volume = length x width x height

10,000 = 25 x 10 x h

h = 10,000/ (25 x 10)

h = 10,000 / 250

h = 40 cm

Answer:

The largest angle is A + 5 = 117.5 + 5 = 122.5 degree.  

Step-by-step explanation:

The sum of the interior angles of a regular hexagon is 720 degree.

Let the one angle is A.

So,

A + A + 1 + A + 2 + A + 3 + A + 4 + A + 5 = 720

6 A + 15 = 720

6 A = 705

A = 117.5

The largest angle is A + 5 = 117.5 + 5 = 122.5 degree.  

Answer:

 6 just 6 Your welcome !!

Step-by-step explanation:  

Answer:

[tex] \gamma = 125.00 \: degrees \\ a = 2.18 \\ b = 3.59[/tex]

Step-by-step explanation:

[tex] \gamma = 180 - 20 - 35 \\ = 125 \: degrees[/tex]

[tex]using \: sine \: rule \\ \frac{a}{sin20} = \frac{b}{sin35} = \frac{5.122}{sin125} \\ a = 2.1386 \\ b = 3.5865[/tex]

Answer:

perimeter

Step-by-step explanation:  If she walks around its perimeter.  If she covers every inch of ground covered by the field its area.

Perimeter would be like an outline.  And area would be the whole thing shaded.  

Answer:

The height is about 9 m

Step-by-step explanation:

the volume of a cyllinder: pi times r^2 times h

1386= 3.14(49) x h

1386= 153.86 x h (divide by 153.86)

9 is about h

Answer:

6

Step-by-step explanation:

======================================================

Explanation:

Exponents of 1/2 are the same as square roots

[tex]36^{1/2} = \sqrt{36} = 6[/tex]

If the exponent was say 1/3, then we'd be taking a cube root

[tex]36^{1/3} = \sqrt[3]{36}[/tex]

and this is what a fourth root would look like

[tex]36^{1/4} = \sqrt[4]{36}[/tex]

and so on

9514 1404 393

Answer:

  27

Step-by-step explanation:

For point (x, y) and slope m, the y-intercept can be found from the equation ...

  b = y -mx

  b = 0 -(-3)(9) = 27

The y-intercept is +27. The corresponding ordered pair is (0, 27).

Answer:

since angle x and y are the same the answer will be

A: x=y