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inessss [21]
3 years ago
7

Factor completely 4x2 + 25x + 6

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
8 0
(4x+1)(x+6). 
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The surface area of the cone is 43.75π cm2. What is the slant height of the cone? with a radius o 5 cm
yKpoI14uk [10]
The surface area of the cone is calculated through the equation, 
                    A = πr² + πrl
where r is the radius and l is the slant height. Substituting the known values to the equation,
              43.75π = π(5 cm)² + π(5 cm)(l)
l is 3.75 cm. Thus, the slant height of the cone is 3.75 cm. 
3 0
3 years ago
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
Determine whether the question
KiRa [710]
"<span>How much did your classmates typically spend on music downloads last year?" is a statistical question, and the units would </span>be both the number of students and how many downloads each individual bought.
4 0
3 years ago
A man wants to hike two trails. The length of one trail is 7.709 km. The length of the other trail is 9.0309 km. What is the tot
Naya [18.7K]

Answer:

Its addition I think so the answer would we 16.7399km for both trials

Step-by-step explanation:

3 0
3 years ago
. Two bicyclists, Sarah and Emily, depart from the same location. Sarah heads N55°E at an average speed of 6 km/hr. Emily heads
Liula [17]

Answer:

The distance between them after 30 minutes is 6.5 km.

Step-by-step explanation:

Speed = \frac{distance}{time}

Sarah's speed = 6 km/hr = 1.6667 m/s

Emily's speed = 10 km/hr = 2.7778 m/s

The measure of angle between their bearings = 105^{o}

After 30 minutes (1800 seconds);

distance = speed x time

Sarah would have covered a distance = 1.6667 x 1800

                               = 3000 m

                               = 3 km

Emily would have covered a distance = 2.7778 x 1800

                               = 5000 m

                               = 5 km

The distance between them, a, can be determined by applying the cosine rule;

a^{2} = b^{2} + c^{2} - 2bcCos A

   = 5000^{2} + 3000^{2} -2(5000 x 3000) Cos 105

   = 5000^{2} + 3000^{2} -2(5000 x 3000) x (-0.2588)

   = 2.5 x 10^{7} + 9 x 10^{6} + 7764000

   = 41764000

a = \sqrt{41764000}

  = 6462.5073

a = 6462.5 m

The distance between them after 30 minutes is 6.5 km.

4 0
3 years ago
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