In a league of 320 high schools that participate in UIL soccer, only 16 schools make it to the play-offs. What percentage of the league’s soccer teams move on to the play-offs?

Answer:

[tex]\frac{x^3 +7x^2-2x-6}{x+ 7} \ = \ x^2 -2 \ +\ \frac{8}{x^3 +7x^2-2x-6}[/tex]

Step-by-step explanation:

Given polynomial function;

x³ + 7x² - 2x - 6

divisor of the polynomial = x + 7

The function is divided as follows;

                                   x²  - 2

                               ---------------------------

                  x + 7   √ x³ + 7x² - 2x - 6

                              - (x³  + 7x²)      ↓

                              -----------------------------

                                                 -2x - 6

                                               - (-2x - 14)

                               -----------------------------------

                                                           8

Since there is a remainder of 8, then the result is expressed as follows; [tex]q(x) + \frac{r(x)}{b(x)} = x^2 -2 \ +\ \frac{8}{x^3 +7x^2-2x-6}[/tex]

Answer:

66 inches

Step-by-step explanation:

v² = 55² + 26² - 2(55)(26) · cos 103°

v² = 3025 + 676 - [2860 · cos 103°]

v² = 3701 - (-643.4)

v² = 4344.4

v = [tex]\sqrt{4344.4}[/tex] ≈ 66

Answer:

-3 ≤ x < 2

Step-by-step explanation:

Answer:

???

Step-by-step explanation:

Answer:

9 years po sana po makatulong

Step-by-step explanation:

sana po makatulong 9 years

Answer:

The hypotenuse formula is simply taking the Pythagorean theorem and solving for the hypotenuse, c.

Step-by-step explanation:

Solving for the hypotenuse, we simply take the square root of both sides of the equation a² + b² = c² and solve for c . When doing so, we get c = √(a² + b²)

The length of the hypotenuse is 17 cm and this can be determined by evaluating the length of one side of each square and then applying the Pythagorean Theorem.

Given :

The side length of the smaller square can be calculated as:

[tex]a^2 = 64[/tex]

a = 8

The side length of the larger square can be calculated as:

[tex]b^2 = 225[/tex]

b = 15

So, the length of the perpendicular is 8 and the length of the base is 15. Now, apply the Pythagorean theorem in order to determine the length of the hypotenuse.

[tex]\rm H^2=P^2+B^2[/tex]

Now, substitute the values of known terms in the above expression.

[tex]\rm H^2=(8)^2+(15)^2[/tex]

[tex]\rm H = \sqrt{64+225}[/tex]

H = 17 cm

Therefore, the correct option is D) Find the length of one side of each square and then apply the Pythagorean Theorem.

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Answer:

y=mx+b

Step-by-step explanation:

Answer:

Answer: y=mx+b

Step-by-step explanation:

:) Hope this helps!!

Answer:

x = 18

Step-by-step explanation:

6x + 4x = 180

combine like terms

10x = 180

divide both sides of the equation by 10

10x/10 = 180/10

x = 180/10

x = 18

Answer:

sas

Step-by-step explanation:

Since the scale factor is smaller than one (the original), the resulting image is smaller than the original.

Hope this helped, and feel free to ask more questions if needed(:

Answer:

I am not sure if this answers the questions but what about 1/2=1

Step-by-step explanation:

Answer:

18 : 30

Step-by-step explanation:

3 + 5 = 8 (Total units)

48 ÷ 8 = 6

3 units = 6 x 3 = 18

5 units = 6 x 5 = 30

So it's 18 : 30

Answer:

Answer:

5 calories is the answer.

Step-by-step explanation:

All you have to do is 200 divided by 40, which results in 5.

You do this because you want to see the ratio between minutes and calories, so 1 minute would result in 5 calories burnt,.

#teamtrees #WAP (Water And Plant)

Answer:

Zone II

Step-by-step explanation:

k ∈ A ∩ B means k is an element of both A and B.

zone II is in between zone I and zone III which is both.

The most specific location of k on the Venn Diagram is II.

Venn diagram is a diagram denoting two or more sets which is drawn using circles inside a rectangle where the part where the two circle meet denotes the intersection of two sets.

Given is a Venn Diagram.

U represents the Universal set.

There are 2 sets, set A and set B, which are represented by 2 circles.

I represents the location of elements which are in A alone.

II represents the location of elements which are in B alone.

If an element belongs to A ∩ B, then the element contains both in A and B.

This is the location marked as II.

Hence the location of k will be in II.

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The venn diagram related to the question is given below.

Answer:

8%

Step-by-step explanation:

234.25$ : 100 = 252.99$ : x

234.25x = 252.99 x 100

234.25x = 25299

25299 divided by 234.25 is 108

so answer 8%

Answer:

Step-by-step explanation:

2/10: 0.2

19/20: 0.95

19/6: 3.1667

17/4: 4.25

7/4: 1.75

9/20: 0.45

Answer: 6 laps

Step-by-step explanation: 1/4 x 6 = 1 and 1/2

The number of laps Freddie walk around the track is, 4

Division is a mathematical operation, in which we distribute the number in equal parts, the number on the upper side is the total quantity and the number on the bottom side is equal parts of numbers which have to be distributed.

We denote division by '÷' this symbol.

Given that,

Freddie made the number line  to model the laps he walks around a track at his school,

And each lap is 0.25 miles,

And Freddie walks a total of 1 mile,

So to find the number of laps he walks,

we can divide the total distance by the distance per lap:

Number of laps = 1/0.25  mile/miles per lap

                          = 4 laps

Hence, the number of laps is 4

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Answer:

A: [tex]\frac{1}{2\sqrt{x-1} }[/tex]

B:[tex]\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

c: 2x

Step-by-step explanation:

To find the derivative of x raised to the nth power we use the following template

[tex]x^{n}=nx^{n-1}[/tex]

Something else to keep in mind is that

[tex]\sqrt[n]{x^{y}}=x^{y/n}[/tex]

So knowing this we can rewrite a as follows

[tex]\sqrt{x-1} =(x-1)^{1/2}[/tex]

so we can use the template above and get

[tex]\frac{1}{2}(x-1)^{.5-1}[/tex]

So that simplifies to

[tex]\frac{1}{2}*(x-1)^{-\frac{1}{2}[/tex]

[tex]\frac{(x-1)^{-.5}}{2}[/tex]

[tex]\frac{1}{2\sqrt{x-1} }[/tex]

B: Same kind of deal here

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

[tex]\frac{1}{4} *x^{\frac{1}{4}-1}[/tex]

[tex]\frac{x^{-\frac{3}{4}}}{4} =\frac{1}{4\sqrt[4]{x^{3} } }[/tex]

C: this one is by far the easiest because the derivative of a constant is 0 so we can just apply the same template from before and get

2x

Answer: A.) B

Step-by-step explanation: i hope this helps you out!

Answer: 50 feet

Step-by-step explanation:

Let the length be represented by x

The width of the basement is 4/5 its length. Therefore, the width is 4/5x = 0.8x

Area = Length × Breadth

2000 = x × 0.8x

0.8x² = 2000

x² = 2000/0.8

x = ✓2500

x = 50

Therefore, the length is 50feet

Answer:

y = 2

Step-by-step explanation:

y=2 every time you add 3 to x your adding 2 to the y

-3 + 3 = 0 and 3 + 2 = 5

0 + 3 = 3 and 5 + 2 = 7

Answer:x^2 -1

x square minus one

Step-by-step explanation:

Answer:

£80.33

Step-by-step explanation:

The formula for the Volume of a cylinder = πr²h

The diameter of a cylindrical column is 60cm and its height is 4.2m

Converting the diameter to meter

100 cm = 1 m

60 cm = x

Cross Multiply

100 × x = 60 × 1

x = 60/100

x = 0.6m

The diameter of the cylinder = 0.6m

Radius = Diameter/2

Radius = 0.6m/2

Radius = 0.3m

Volume of a cylinder = πr²h

= π × 0.3² × 4.2

= 1.18752 m²

Approximately = 1.19 m²

The cost of making it is £67.50 per cubic metre. What is the cost of making it?

The volume of the cylindrical column = 1.19 m²

Hence:

1m² = £67.50

1.19m² = x

Cross Multiply

x × 1m² = 1.19 m² × £67.50

x = 1.19 m² × £67.50/1 m²

x = £ 80.325

Approximately = £80.33

Therefore, the cost of making the cylindrical column = £80.33

Answer:

Step-by-step explanation:

if we have a rectangle with W=90 and L=120, and we need to find the diagonal

we will have a right triangle with the legs 90,120

diagonal is the hypothenuse

c^2=90^2+120^2=8100+14400=22500

c=sqrt22500=150

the diagonal, c=150

Answer:

Not completely sure, and I know its late but for the other people that look at this, 11.80$

Step-by-step explanation:

I found how many more letters Alexander had over Lucia, then when I got 4 divided it in-between 12.60 - 9.40 (3.20)  I got 0.8. knowing the letter cost i got the initial fee for the mug (5.40) and added 8x0.8 to it, resulting in my answer 11.80$

Penelope has to pay $11.8 for a mug with her own name on it.

Number of letters in Alexander's name = 9

Number of letters in Lucia's name =5

The Difference in the number of letters in both the names

= 9-5

=4 letters

Alexander pays =  $12.60

Lucia pays = $9.40

Difference in payments = 12.60-9.40 = $3.20

It means charge for 4 letters = $3.20

So, charge for 1 letter = $0.80

Number of letters in Penelope's name = 8

So, Penelope will pay = 8*0.80 +fixed fee for the mug

= $6.4 +fixed fee for the mug

The Fixed fee for the mug will be the payment done by Penelope for either Alexander or Lucia minus the charge for each word in the word Alexander or Lucia respectively.

The Fixed fee for the mug = $9.40 - charge for each word in the word "Lucia"

The Fixed fee for the mug = 9.40 - 5*0.80 = $5.40

So, Penelope will pay = 6.4 +5.4 =$11.8

Therefore, Penelope has to pay $11.8 for a mug with her own name on it.

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Answer:

3.67

Step-by-step explanation:

They are vertical angles. Vertical angles are congruent to one another, so they are equal to one another