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3 years ago

) 2:y = 5:9, Find the value of y

Mathematics

1 answer:

GrogVix [38]3 years ago

5 0

Answer:

2y=4–9(when solving for x or y you need to get ride of the other numbers in ... Therefore: y=-5/2 ( since we solving for the value of y and 2 in front of the y is a ... when we transpose *2 to the other side of the question it becomes\9. 2y=-5. y= -5\9.

Step-by-step explanation:

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

Tasya [4]

Answer:

$\frac{dy}{dx}=-[(\frac{5x+24}{36x-6x^2})]$

Step-by-step explanation:

Given function:

y = $\ln(\frac{(6 - x)^{\frac{3}{2}}}{x^{\frac{2}{3}}})$

we know

$\ln(\frac{A}{B})$ = ln(A) - ln(B)

thus,

y = $\ln((6 - x)^{\frac{3}{2}}) - \ln(x^{\frac{2}{3}})$

also,

ln(Aⁿ) = n × ln(A)

thus,

y = $(\frac{3}{2})\times\ln(6 - x) - (\frac{2}{3})\times\ln(x)$

therefore,

$\frac{dy}{dx}=[(\frac{3}{2})\times\frac{1}{(6-x)}\times(0 - 1)] - [ (\frac{2}{3})\times\frac{1}{x}\times1]$

$\frac{dy}{dx}=-(\frac{3}{2(6-x)}) - (\frac{2}{3x})$

$\frac{dy}{dx}=-[(\frac{3(3x)+2\times2(6-x)}{2(6-x)\times(3x)})]$

$\frac{dy}{dx}=-[(\frac{5x+24}{36x-6x^2})]$

5 0

4 years ago

Working simultaneously and independently at an identical constant rate, 4 machines of a certain type can produce a total of x un

Jobisdone [24]

Answer:

B. 18

Step-by-step explanation:

The 4 machines can produce x units in 6 days. This means they have a daily total rate of x/6 units per day.

Since the machines are similar and that they work at the same rate, this means that the individual rates of each machine would be x/6/4 = x/24 units per day.

Now we are looking at producing 3x units in 4 days. This means that we want to produce 3x/4 units in a single day. Now, since each machine would work at a rate of x/24, we need to know the number of machines we need. To know this number, we simply divide what is to be achieved by the individual rate:

This is 3x/4 divided by x/24. This mathematically means 3x/4 * 24/x = 18 machines

4 0

3 years ago

You draw two cards from a standard deck of 52 cards. What is the probability of drawing a club and then a diamond consecutively

otez555 [7]

Answer:

There are 13 cards for each suit so the first fraction is 13/52 and the next one is 13/51 as there is no replacement for the first card you pulled.

Multiplying them you get: 13/52*13/51= 169/2652,

Then you divide both sides by 13 to get: 13/204

So, the answer is C.

I hope this helps!

5 0

3 years ago

Read 2 more answers

The number of acres a farmer uses for planting pumpkins will be at least 2 times the number of acres for planting corn. The diff

jeka94

Answer:

Step-by-step explanation:

A) Let x represent acres of pumpkins, and y represent acres of corn. Here are the constraints:

x ≥ 2y . . . . . pumpkin acres are at least twice corn acres

x - y ≤ 10 . . . . the difference in acreage will not exceed 10

12 ≤ x ≤ 18 . . . . pumpkin acres will be between 12 and 18

0 ≤ y . . . . . the number of corn acres is non-negative

B) If we assume the objective is to maximize profit, the profit function we want to maximize is ...

P = 360x +225y

C) see below for a graph

D) The profit for an acre of pumpkins is the highest, so the farmer should maximize that acreage. The constraint on the number of acres of pumpkins comes from the requirement that it not exceed 18 acres. Then additional profit is maximized by maximizing acres of corn, which can be at most half the number of acres of pumpkins, hence 9 acres.

So profit is maximized for 18 acres of pumpkins and 9 acres of corn.

Maximum profit is $360·18 +$225·9 = $8505.

7 0

3 years ago

How can I solve these problems

Anuta_ua [19.1K]

Here’s the first few and you can do the rest with the same principles. If you need more help with the last ones then let me know

4 0

3 years ago

) 2:y = 5:9, Find the value of y​

) 2:y = 5:9, Find the value of y