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Oliga [24]
3 years ago
8

Which of the following is equivalent to (5 /k) + ((k + 3) /(k + 5)) ?

Mathematics
2 answers:
Dafna11 [192]3 years ago
6 0

Answer:

E is the answer.

Step-by-step explanation:

Mars2501 [29]3 years ago
4 0
\frac{5}{k}+\frac{k+3}{k+5}=\frac{5(k+5)}{k(k+5)}+\frac{k(k+3)}{k(k+5)}=\frac{5k+25+k^2+3k}{k(k+5)}=\frac{k^2+8k+25}{k(k+5)}\\\\Answer:E
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Find each percent of change. Round yo the nearest whole percent if necessary. <br><br> 55 to 35
Reptile [31]
So subtract 55 from 35

35 - 55 = -20

then, put -20 over 55

-20/55 equals -0.36 repeating, rounded to -0.36, which equals 36%

the negative stands for decrease, so it's around 36% decrease
8 0
3 years ago
PLESSSE HELP ME WITH THIS QUESTION TY
GuDViN [60]
The total of all angles are 360 degrees for a parallelogram. One angle is 10 and the one opposite is also 10. B = 340/2=170 degrees
6 0
3 years ago
The Royal Fruit Company produces two types of fruit drinks. The first type is 20% pure fruit juice, and the second type is 95% p
enot [183]

Answer:

14 pints of 20% juice

56 pints of 95% juice

Step-by-step explanation:

Let

x be pints of 20% pure fruit juice, thus

70 - x   will be pints of 95% pure fruit juice

The equation, thus can be written as:

20%x + 95% (70-x) = 80% (70)

Solving for x:

(0.2)x + (0.95)(70-x) = (0.8)(70)\\0.2x+66.5-0.95x=56\\0.75x=10.5\\x=14

And 70 - x would be 70 - 14 = 56

Thus,

14 pints of 20% juice is needed, and

56 pints of 95% juice is needed

5 0
3 years ago
Read 2 more answers
It is given that a+b=6 and ab=7. Find the value of a^2 + b^2.
n200080 [17]
Use the identity:-

a^2 + b^2  = (a + b)^2 - 2ab

Plugging in the given values;-

a^2 + b^2 = 6^2 - 2*7    =  36-14  = 22 Answer
4 0
3 years ago
Your company is planning to air a number of television commercials during a television network's presentation of the an awards s
Sunny_sXe [5.5K]

This question is incomplete, the complete question is;

Your company is planning to air a number of television commercials during a television network's presentation of the an awards show. The network is charging your company $1.9 million per 30-second spot. Additional fixed costs (development and personnel costs) amount to $500,000, and the network has agreed to provide a discount of $160,000√x for x television spots.  

Required:

Write down the cost function C, marginal cost function C’, and average cost function

Answer:

- The  the cost function is 500,000 + 1,900,000x - 160,000√x

- the marginal cost function is 1,900,000 - (80000 /√x  )

- The  average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

Step-by-step explanation:

Given the data in the question;

cost per spot = $1.9 million

Additional cost =  $500,000

discount = $160,000√x

 Let C(x) represent the cost ;

Cost x television spot = cost per spot × Number pf spots

Cost x television spot = $1.9 million × x

Cost x television spot = $1,900,000x

Now, the television set total cost will be;

C(x) = television cost + additional cost - discount  

C(x) = 500,000 + 1,900,000x - 160,000√x

Therefore, The  the cost function is 500,000 + 1,900,000x - 160,000√x

Marginal Cost Function;

Cost function C(x) = 500,000 + 1,900,000x - 160,000√x

we differentiate with respect to x

C'(x) = d/dx( 500,000 + 1,900,000x - 160,000√x )

= d/dx( 500000 ) + 1,900,000d/dx -160,000 d/d( √x )

= 0+ 1,900,000(1) -160,000( 1 / 2√x )

= 1,900,000 - (160,000 / 2√x  )

= 1,900,000 - (80000 /√x  )

Therefore, the marginal cost function is 1,900,000 - (80000 /√x  )

Average cost function;

Average cost function = C(x) / x

we substitute

Average cost function = [500,000 + 1,900,000x - 160,000√x] / x

=  [500,000 / x ] + [1,900,000x / x ]  - [ 160,000√x / x ]

=  [ 500,000 / x ] + 1,900,000 - [ 160,000√x / x ]

=  1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

Therefore, The average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

5 0
3 years ago
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