y is inversely proportional to the square of x.

When x=3, y=8

Work out an equation connecting y and x.

Answer:5

Step-by-step explanation:10/2=5

Answer: the answer is 5

Step-by-step explanation

Answer:

For the second one: NO congruent to MO.

For the third one: angle N congruent to angle O.

:)

Step-by-step explanation:

We have been given that a basketball team has 12 players and the coach wants to pick which 5 players will start today's game.

We will use combinations formula to solve our given problem. , where,

n = Number of total items,

r = Number of items being chosen at a time.

Upon substituting our given values in combinations formula we will get,

Therefore, the coach can choose from 792 combinations

Answer:

4

Step-by-step explanation:

becouse is the rii asewei feel mw

Answer:

x = 5.2

Step-by-step explanation:

Measure of interior angle of a regular polygon = [tex]\frac{(n-2)\times180}{n}[/tex]

Here n = number of sides of the polygon

Interior angle of a regular pentagon = [tex]\frac{(5-2)\times180}{5}[/tex]

                                                            = 108°

By applying cosine rule in ΔABK,

(BK)² = (AK)² + (AB)² - 2(AK)(AB)cos(108)°

(x + 3)² = 4² + 6² - 2(4)(6)cos(108)°

x² + 6x + 9 = 16 + 36 - (-14.83)

x² + 6x = 57.83

x² + 6x - 57.83 = 0

x = [tex]\frac{-6\pm \sqrt{6^2-4(1)(-57.83)}}{2(1)}[/tex]

x = [tex]\frac{-6\pm16.35}{2}[/tex]

x ≈ -11.2, 5.2

Since, x can't be negative,

x = 5.2 will be the answer.

Answer:

 [tex]\int\limits {\frac{V-1}{1+2V+V^{2} } } \, dv[/tex]    [tex]= log V + (\frac{2 }{1+v} )+C[/tex]

Step-by-step explanation:

Step(i):-

Given  

                [tex]\int\limits {\frac{V-1}{1+2V+V^{2} } } \, dv[/tex]

           =   [tex]\int\limits {\frac{V-2+1}{1+2V+V^{2} } } \, dv[/tex]

         [tex]= \int\limits {\frac{V+1}{(1+V)^{2} } } \, dv+\int\limits {\frac{-2}{(1+V)^{2} } } \, dv[/tex]

       = [tex]= \int\limits {\frac{1}{(1+V) } } \, dv+\int\limits {\frac{-2}{(1+V)^{2} } } \, dv[/tex]

Step(ii):-

By using integration formula

[tex]\int\limits {\frac{1}{x} } \, dx =logx +C[/tex]

[tex]\int\limits {x^{n} } \, dx = \frac{x^{n+1} }{n+1} +C[/tex]

      [tex]= \int\limits {\frac{1}{(1+V) } } \, dv+\int\limits {\frac{-2}{(1+V)^{2} } } \, dv\\= log V + (\frac{-2(1+v)^{-2+1} }{-2+1} )+C[/tex]

   [tex]= log V + (\frac{-2(1+v)^{-1} }{-1} )+C[/tex]

  [tex]= log V + (\frac{2 }{1+v} )+C[/tex]

Answer:

the ratio of this one is 0.2\1

Answer:

To calculate the ratio, we should have both quantities in same units, so we can convert the kilometer into meters, knowing that 1 kilometerr are 1000m.

1 * 1000 = 1000m

We know we need to calculate the ratio 200:1000.

We can know divide both quantities by 200 and get...

200/200:1000/200 = 1:5

And now,, we know this ratio is 1:5..

Answer:

-12

Step-by-step explanation:

g(x) = 4x

h(x) = x^2 - 3

(g o h)(x) = g(h(x)) = g(x^2 - 3) = 4(x^2 - 3) = 4x^2 - 12

(g o h)(0) = 4(0)^2 - 12 = 0 - 12 = -12

Answer:

Grant can purchase 7 baseball card packs for $21. 12/4=3 and 21/3=7.

Answer: 7

Step-by-step explanation:

Answer:

7 packs

Step-by-step explanation:

12/4 = $3 ea.

21/3 = 7 packs

Answer:

the height should be 4.

Step-by-step explanation:

because 12 divided by 3 is 4

Answer:

$32

Step-by-step explanation:

Answer:

x=22.8 inches

I think T__T

Step-by-step explanation:

YES... SOMETHING I KNOW!

Use Pythagorean theroy

say 42.7=a

48.4=b

x=c

the formula is: a^2+c^2=b^2

so: 42.7^2+x^2=48.4^2

if we simplify:=1823.29+x^2=2342.56

then:519.27=x^2

It says, round to the nearest TENTH

x=22.787497

so then x would be

22.80

Step-by-step explanation:

Angle ACB = Angle ZXY (given)

AB = XY (given)

CB = ZY (given)

Since they both display the SSA postulate, it does not guarantee that the triangles are congruent.

Answer:

Step-by-step explanation:

Given

It doesn't match any congruency postulates and therefore is not enough to proof that the triangles are congruent

Answer:

12y+9

Step-by-step explanation:

Answer:

Equation of the line: [tex]y = -5[/tex].

Step-by-step explanation:

Let [tex](x_0,\, y_0)[/tex] and [tex](x_1,\, y_1)[/tex] denote the coordinates of these two points, respectively.

Calculate the slope [tex]m[/tex] of this line:

[tex]\displaystyle m = \frac{y_1 - y_0}{x_1 - x_0} = \frac{(-5) - (-5)}{8 - 0} = 0[/tex].

Notice that the slope is zero because the two points have the same [tex]y[/tex]-coordinates ([tex]y_0 = y_1 = -5[/tex]) even though their [tex]x[/tex]-coordinates are distinct ([tex]x_0 \ne x_1[/tex].)

Equation for this line in point-slope form:

[tex]y - y_0 = m\, (x - x_0)[/tex].

[tex]y - (-5) = 0\, (x - 0)[/tex].

Rewrite and simplify to obtain the equation of this line in slope-intercept form:

[tex]y = -5[/tex].

The [tex]x[/tex]-term was eliminated because the slope was zero.

Answer:

14

Step-by-step explanation:

Answer:

It has to be 14

Step-by-step explanation:

42/3 is 14

Answer:

5 1/3

Step-by-step explanation:

Answer:

Step-by-step explanation: Change the format of the equation. Make it 3y=-2x-12. Substitute different values for x and see what y is for each of those x values. For example, if you substitute x=3, you will get y=-6. I am going to put in a picture of the plotted line. I hope this helps!

Step-by-step explanation:

Distance between Train 1 and Train 2=95 miles

Avg speed Train 1 = 45mph, avg speed Train 2=60mph

If both trains leave at the same time and travel toward each other but on parallel tracks, in how much time will their engines be opposite each other?

:

Let t = travel time (in hrs) until they are opposite each other

:

Like the hint said, when this happens the total distance traveled by both trains will be 95 mi.

:

write a distance equation from this fact: Dist = speed * time

;

Train 1 dist + train 2 dist = 95 mi

45t + 60t = 95

:

105t = 95

t = 95%2F105

t = .90476 hrs

or

.90476 * 60 = 54.3 min

:

:

Check solution by finding the total of the distances the two train travel

45(.90476) + 60(.90476) =

40.7 + 54.3 = 95 mi

Answer:

a ) dAt/dt  =  50,24 in/min

dh/dt  =  -  0,125 in/min

Step-by-step explanation:

The area of the top is At :

At = π*r²

a)  Tacking derivatives with respect to time:

dAt/dt  =  2* π*r * dr/dt

At   t  =  t₁      r  = 16 in     and  dr/dt =  0,5

Then

dAt/dt  =  2*3,14*16*0,5   in/min

a ) dAt/dt  =  50,24 in/min

b) The volume of the cylinder is:

Vc =  π*r²*h     ( where h is the heigh of the cylinder )

Tacking derivatives with respect to time

dVc/dt  =  2* π*r*h*dr/dt  +  π*r²*dh/dt

But  dVc/dt  = 0  since the volume remains constant, then:

π*r²*dh/dt  = -  2* π*r*h*dr/dt

r*dh/dt  =  -  2*h*dr/dt

dh/dt  = - 2*0,5*2/16  in/min

dh/dt  =  -  0,125 in/min

Answer:

y=2(x-2.5)

Step-by-step explanation:

Answer:

y = 2x - 5

Step-by-step explanation:

Let us consider the points (- 2, - 9) & (0, - 5)

Equation of line in two point form is given as:

[y-(-9)]/[-9-(-5)] = [x - (-2)]/[-2 - 0]

(y + 9)/(-9 +5) = (x + 2)/ (-2)

(y + 9)/(-4) = (x + 2)/(-2)

(y + 9)/(2) = (x + 2)/(1)

(y + 9) = 2(x + 2)

y + 9 = 2x + 4

y = 2x + 4 - 9

y = 2x - 5

This is the required function.

Answer:

Jennifer jogged the most, by 18 miles

Step-by-step explanation:

Given

Alan:

[tex]To\ School = 3.2\ miles[/tex]

[tex]After\ School = 2.2\ miles[/tex]

[tex]Days = 5[/tex]

Jennifer:

[tex]Total= 45\ miles[/tex]

Required

Who jogged most?

First, we calculate the distance covered by Alan daily

[tex]Daily = To\ School + After\ School[/tex]

[tex]Daily = 3.2\ miles + 2.2\ miles[/tex]

[tex]Daily = 5.4\ miles[/tex]

Next, we calculate the distance covered in 5 days

[tex]Distance = 5.4\ miles * 5[/tex]

[tex]Distance = 27\ miles[/tex]

By comparison, Jennifer jogged the most because 45 > 27

And the difference is:

[tex]Difference = 45\ miles - 27\ miles[/tex]

[tex]Difference = 18\ miles.[/tex]

[tex]Answer:[/tex]

[tex]-11[/tex]

[tex]Step-by-step~explanation:[/tex]

[tex]2+-13[/tex]

[tex]= -11[/tex]

So your answer is -11 :)

Answer:

18/14=64+7%×r try it out

The values shows  13/30  <  9/20.

Fractions are the components of a collection or whole. Two parts make up a fraction. The numerator is the number at the top of the line. It indicates the number of equal portions taken from the collection or whole. The term "denominator" refers to the number below the line. It indicates the total number of identical parts that make up a collection or the total number of parts that make up the whole.

The number of parts we take is a fraction when the whole is divided into equal parts.

Given 13/30 and 9/20

to make the common denominator,

multiply by 20 in numerator and denominator of 13/30

(13 x 20)/(20 x 30) = 260/600

multiply by 30 in numerator and denominator of 9/20

(9 x 30)/(20 x 30) = 270/600

the terms with same denominator are

260/600 and 270/600

as we can see that 270/600 > 260/600

so 13/30 < 9/20.

Hence 13/30 is less than 9/20.

Learn more about fraction;

https://brainly.com/question/10354322

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Answer:

n>10.2 or n>51/5

Step-by-step explanation:

4n+2(n+1)>n+52 distribute 2 to everything in the parentheses

4n+2n+1>n+52 combine like terms

6n+1>n+52 subtract 1 from both sides

6n>n+51 subtract n from both sides

5n>51 divide both sides by 5

n>10.2

Answer:

n>10.2

Step-by-step explanation:

Answer:

The probability is 0.5263

Step-by-step explanation:

Probability of employed women being unmarried = 25% = 0.25 ( let this be p)

Probability of employed women ever being married = 1-0.25 = 0.75 (let this be q)

Now, we want to calculate the probability that two or less have never been married

We can use the Bernoulli approximation of the Binomial distribution here;

In this case, we have three cases

We have cases of;

Exactly two + Exactly one + None

For exactly two;

10 C 2 0.25^2 0.75^8 = 0.282

For exactly one

10 C 1 0.25^1 0.75^9 = 0.188

For none

10C 0 0.25^0 0.75^10 = 0.0563

Adding these 3 to get the probability of two or fewer, we have;

0.0563 + 0.188 + 0.282 = 0.5263