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Vinil7 [7]
3 years ago
9

36+42=6(6+?) what unknown number makes. the equation true ?

Mathematics
1 answer:
tatuchka [14]3 years ago
3 0

Answer:

36+42=6(6+7)

Step-by-step explanation:

6x6 is 36 and 6 times 7 is 42.

The distributive property makes this equation true.

Multiply the term outside of the parentheses by each term in the parentheses and then add both terms. In this case the terms are 36 and 42.

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The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by K(x) 5x/x^2
Olegator [25]

Given :

The percent of concentration of a certain drug in the bloodstream x hours after the drug is administered is given by K(x) = \dfrac{5x}{x^2+9}.

To Find :

Find the time at which the concentration is a maximum. b. Find the maximum concentration.

Solution :

For maximum value of x, K'(x) = 0.

K'(x) = \dfrac{5(x^2+9)- 5x(2x)}{(x^2+9)^2}=0\\\\5x^2+45-10x^2=0\\\\5x^2 = 45\\\\x = \pm 3

Since, time cannot be negative, so ignoring x = -3 .

Putting value of x = 3, we get, K(3) = 15/( 9 + 9) = 5/6

Therefore, maximum value drug in bloodstream is 5/6 at time x = 3 units.

Hence, this is the required solution.

5 0
3 years ago
(50 points worth ) A rectangular prism fish tank a length of 5 1/2 in., a width of 7 in., and a height of 2 1/2 in. Use this to
densk [106]
A) What's the volume of this fish tank? Show all work and express your answer as a mixed number in its most simplified form!
 By definition we have that the volume of a rectangular prism is given by:
 V = (w) * (l) * (h)
 Where,
 w: width
 l: long
 h: height
 We then have to replace the values:
 V = (7) * (5.5) * (2.5)
 V = 96.25 in ^ 3
 Equivalently:
 V = 96 1/4 in ^ 3


 B) Could this fish tank hold 100 in³ of water? Answer yes or no, then explain why in one or more sentences.

 No, this fish tank could not hold 100 in³ of water.
 This is because the prism volume (part A) is less than 100 in ^ 3.
 In other words;
 96 1/4 in ^ 3 <100 in ^ 3
4 0
3 years ago
Hannah can paint a room in 16 hours. Destiny can paint the same room in 12 hours. How long does it take for both Hannah and Dest
PSYCHO15rus [73]
It would take both Hannah and destiny 28 hours to paint the room together
3 0
3 years ago
Read 2 more answers
Please help, it would be much appreciated.A certain state uses the following progressive
liraira [26]

Answer:

$3,300

Step-by-step explanation:

$60,000 falls into the $50,001 - $100,000 range, so 5.5% is owed on it.

5.5% → 0.055

60,000 * 0.055 = $3,300

6 0
3 years ago
A pile of 100 $5coins is 150 mm high. One coin is______mm thick​
maxonik [38]

Answer:

1.5mm

Step-by-step explanation:

100x = 150. x = height is one $5 coin

x = 150/100

x = 1.5

7 0
2 years ago
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