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Tom [10]
3 years ago
11

At the beginning of a basketball season, the panthers won 20 games out of 50 games. At this rate, how many games will they win i

n a normal 120-games season?
Round answer to the nearest whole number.
Mathematics
1 answer:
Anton [14]3 years ago
8 0

Answer:

They will win 48 games in a 120 game season.

Step-by-step explanation:

The team won 20 games out of 50; that is a 20:50 ratio, that is equal to x:120.  x is the amount of games won in the 120 game season.

Set up the ratios like this:

\frac{20}{50} = \frac{x}{120}

cross multiply the numerators and denominators to get this:

20*120 = 50x

solve for x:

2,400 = 50x

x = 48

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Use partial fractions to find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constan
BARSIC [14]

Answer:

125/6(In(x-25)) - 5/6(In(x+5))+C

Step-by-step explanation:

∫x2/x1−20x2−125dx

Should be

∫x²/(x²−20x−125)dx

First of all let's factorize the denominator.

x²−20x−125= x²+5x-25x-125

x²−20x−125= x(x+5) -25(x+5)

x²−20x−125= (x-25)(x+5)

∫x²/(x²−20x−125)dx= ∫x²/((x-25)(x+5))dx

x²/(x²−20x−125) =x²/((x-25)(x+5))

x²/((x-25)(x+5))= a/(x-25) +b/(x+5)

x²/= a(x+5) + b(x-25)

Let x=25

625 = a30

a= 625/30

a= 125/6

Let x= -5

25 = -30b

b= 25/-30

b= -5/6

x²/((x-25)(x+5))= 125/6(x-25) -5/6(x+5)

∫x²/(x²−20x−125)dx

=∫125/6(x-25) -∫5/6(x+5) Dx

= 125/6(In(x-25)) - 5/6(In(x+5))+C

4 0
3 years ago
PART A: Are the triangles congruent?
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Answer: Part A: No; Part B; N/A

Step-by-step explanation:

The two triangles are not congruent because it's SSA, which doesn't work unless it's a right triangle.

4 0
3 years ago
Two perpendicular lines intersect on the y-axis. the equation of one line is 4y - x - 24 =0. determined the equation of the othe
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Answer:

y  + 4x - 6 = 0

Step-by-step explanation:

Rearranging the given equation:-

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y = 1/4 x + 6  

This has a y intercept of  (0, 6) and a slope of 1/4.

Thus, the other line has a slope of -4 and  passes through the point (0,6) also.

Using the Point-slope form of a straight line:-

y - y1 = m(x - x1)

y - 6 = -4(x - 0)

y  + 4x - 6 = 0  is the required equation  

4 0
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The radius of a sphere is 13 cm. What is the surface area of the sphere? Round to the nearest tenth
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Answer:

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Step-by-step explanation:

Hope it helps

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