Write the partial fraction decomposition of the rational expression:
(3x-5)/(x^2 - 6X - 16)​

Answer:

R=417.46 N

Step-by-step explanation:

If ans is correct you can ask me for explanation .

Answer:

m<1 = 70

m<2 = 110

m<3 = 82

Step-by-step explanation:

<1:

x + 75 + 35 = 180

x + 110 = 180

x = 70

<2:

<1 + x = 180

70 + x = 180

x = 110

<3:

The blank angle is 70 (b/c of 180 - 110) and vertical angles with <1

x + 70 + 28 = 180

x + 98 = 180

x = 82

9514 1404 393

Answer:

Step-by-step explanation:

The surface area of one cone with slant height s and radius r is ...

  SA = πr² +πrs = πr(r+s)

For the cone that is half an ornament, the surface area is ...

  SA = (3.14)(4.2 cm)(4.2 cm + 10.2 cm) = 189.9072 cm²

The area of one ornament is the area of two cones:

  one ornament area = 2×189.9072 cm² ≈ 379.8 cm²

60 ornaments will be 120 cones, so will have a total surface area of ...

  total area = 120(189.9072 cm²) = 22,788.864 cm²

__

If one bottle of paint will cover 201 cm², then the number of bottles of paint required is ...

  (22788.864 cm²)/(201 cm²/bottle) ≈ 113.4 bottles

Answer: 1.9x2.8 + 3.2+2.8 = 14.28

HOPE THIS HELPS

Answer: The answer is C. x = 3.46 cm i believe. sorry if im wrong

Step-by-step explanation:

Answer:

2.4 cm

Step-by-step explanation:

Since that they are similar, what you can do is:

3.0/1.2 = 2.5

1.2 * 2.5 = 3.0

0.96 * 2.5 = 2.4 cm

Answer:

D

Step-by-step explanation:

2 x 2 = 4 x PI = 12.56

Answer:

0.336

Step-by-step explanation:

Here the mean is 83 min and the standard deviation is 33 minutes.  Note that

1 standard deviation above the mean comes out to (83 + 33) minutes, or 116 minutes.  So 97 minutes is above the mean and below 1 standard deviation above the mean.

What is the probability that the interval is BELOW 97 minutes?  If we find this, subtracting it from 1.000 results in the desired probability.

Using the Distribution key on my TI 83 Plus calculator, I get:

normalcdf(-100,97, 83,33) = 0.664.  

Subtracting this from 1.000 results in 0.336.

Tthe probability that a randomly selected time interval between eruptions is longer than 97 minutes is thus 0.336.

Answer:

The lateral area will be "381 yd²". A further solution is provided below.

Step-by-step explanation:

The given values are:

Radius of cone,

r = 10 yd

Height of cone,

L = 12.1 yd

As we know,

The lateral surface area of cone is:

=  [tex]\pi r L[/tex]

On substituting the values, we get

=  [tex]\frac{22}{7}\times 10\times 12.1[/tex]

=  [tex]\frac{22}{7}\times 121[/tex]

=  [tex]380.28 \ yd^2[/tex]

0r,

=  [tex]381 \ yd^2[/tex]

9514 1404 393

Answer:

  2

Step-by-step explanation:

I find it convenient to remember that a logarithm is an exponent.

  [tex]\log_a(a^b)=b[/tex]

__

  log₂(8) +log₃(1/3) = log₂(2³) +log₃(3⁻¹)

  = 3 -1 = 2

The value of the expression is 2.

__

Some calculators can compute this for you directly.

9514 1404 393

Answer:

 55 hours

Step-by-step explanation:

The number of hours will be ...

  ($1567.50) ÷ ($19/driveway) ÷ (6 driveways)/(4 h)

  = (1567.50×4)/(19×6) h = 55 h

Minnie needs to shovel driveways for 55 hours to hear enough for the new phone.

Answer:

about 55.275 hours. You may have to round it to the nearest tenth or whole number, whatever the question tells you to do, but this is the approximate answer. PLEASE VOTE BRAINLIEST!

Step-by-step explanation:

What we know:

6 driveways in 4 hours

$19 per driveway

needs $1,567.50

first, find amount of hours for one drive way by setting up a proportion.

6/4 =1/x

x= about 0.67 hours, or about 40.2 minutes.

now think: how many driveways does it take to make 1,567.50?

1,567.50/19= 82.5

This means it will take her 83 driveways to earn all of her money.

The final step is to multiply this by the amount of minutes, and then you will have your answer! 82.5*40.2= 3316.5

Divide by 60 to convert to hours.

Answer: 55.275

Answer:

a= 10.8 c=4.3

Step-by-step explanation:

Use the law of sines.

a/sin 120=8/sin 40

Which simplifies to: 8*sin (120)/sin (40)

When you put the equation into a calculator, it will answer with 10.77

Therefore, it will be 10.8 if round to the nearest tenth

Using the same concept of the answer to a, the equation will be:

10.8*sin 20/sin 120=4.26

Round to the nearest tenth, and c equals to 4.3

Answer:

5/12

Step-by-step explanation:

Find common denominators. Note that what you multiply to the denominator, you must multiply to the numerator as well. The common denominator is 12:

(2/3) * (4/4) = (8/12)

(1/4) * (3/3) = (3/12)

Subtract:

(8/12) - (3/12) = (8 - 3)/12 = 5/12

5/12 is your answer.

~

Answer:

Probability that [tex]-5 \leq x \leq 5[/tex] is 0.3

Step-by-step explanation:

From the table, we have that the probability is:

[tex]P(-5 \leq x \leq 5) = P(x = -5) + P(x = 0) + P(x = 5)[/tex]

With the values given

[tex]P(-5 \leq x \leq 5) = P(x = -5) + P(x = 0) + P(x = 5) = 0.15 + 0.05 + 0.1 = 0.3[/tex]

So

Probability that [tex]-5 \leq x \leq 5[/tex] is 0.3

9514 1404 393

Answer:

  OL = 7

Step-by-step explanation:

Triangle JKL is isosceles and N is the midpoint of JL, so NL = NJ = 14.

Triangle LMN is isosceles and O is the midpoint of NL, so NL = 2(OL).

  OL = NL/2 = 14/2

  OL = 7

__

There is no WY.

Answer:

1 1/14

you have to multiply by the reciprocal of the second fraction

Answer:

First three terms: -2, 1, 6

Tenth term: 97

Step-by-step explanation:

Given

[tex]T_n =n^2 -3[/tex]

Required

The first three terms and the tenth

So, we have:

First term: n =1

[tex]T_1 = 1^2 - 3 = 1 - 3 = -2[/tex]

Second term: n = 2

[tex]T_2 = 2^2 - 3 = 4 - 3 = 1[/tex]

Third term: n = 3

[tex]T_3 = 3^2 - 3 = 9 - 3 = 6[/tex]

Tenth term: n = 10

[tex]T_{10} = 10^2 - 3 = 100 - 3 = 97[/tex]

Answer:about 5.3

Step-by-step explanation:

Answer:

The final cost of the pants is $ 12.

Step-by-step explanation:

Given that at a store that is closing the pants normally cost $ 60.00 but it is discounted 75%, and they are also taking an additional 20% off, to determine what is the final price for the pants, the following calculation must be performed:

100 - 20 = 80

(60 - (60 x 0.75)) x 0.80 = X

(60 - 45) x 0.80 = X

15 x 0.80 = X

12 = X

Thus, the final cost of the pants is $ 12.

Answer: x=-6

Step-by-step explanation:

Given

2x + 8 = -4

Subtract 8 on both sides

2x + 8 - 8 = -4 - 8

2x = -12

Divide 2 on both sides

2x / 2 = -12 / 2

x = -6

NOTE: I assume the questions "solve for c" actually means "solve for x"

Hope this helps!! :)

Please let me know if you have any questions

Answer:

24.58%

Step-by-step explanation:

Given that,

Initial cost = $240

Final cost = $299

We need to find the percentage in his profit of the cost price.

Profit = Final cost - Initial cost

= $299 - $240

= $59

Percentage,

[tex]\%=\dfrac{59}{240}\times100\\\\=24.58\%[/tex]

So, the required percentage is equal to 24.58%.

Answer:

f(x) = 3x - 5

g(x) = 6x^2 + 2x

Find: g(f(x))

method: for each x in g, substitute (3x-5)

g[f(x)]=6(3x-5)^2+2(3x-5)

=6(9x^2-30x+25)+6x-10

=54x^2-180x+150+6x-10

Step-by-step explanation:

Answer: Length = 40 inches

Width = 20 inches

Step-by-step explanation:

Let the width of the package be represented by x.

Since the length of the package must be twice its width, therefore the length will be: = 2 × x = 2x

Since the sum of the dimensions equals 60 inches. This will then be:

x + 2x = 60.

3x = 60

x = 60/3

x = 20

Therefore, the width = 20 inches

Length = 2x = 2 × 20 = 40 inches

The dimensions should be 40 by 20 inches.