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3 years ago

If x=8 and y=14. Find y when x=48

Mathematics

1 answer:

Sladkaya [172]3 years ago

6 0

Answer:

Step-by-step explanation:

In picture shown.

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There is 1500 ft of fencing available to make 6 identical pens. Find the maximum area for EACH pen (meaning maximum of one pen).

hjlf

Answer:

The maximum area is therefore is 93750 ft²

Step-by-step explanation:

The given parameter are;

The a]length of fencing available = 1500 ft.

The perimeter of the figure = 9·x + 4·y

Therefore, 9·x + 4·y = 1500 ft.

The area of the figure = 6 × (x × y) = 3·x × 2·y

From the equation for the perimeter, we have;

9·x + 4·y = 1500

y = 1500/4 - 9/4·x = 375 - 9/4·x

y = 375 - 9/4·x

Substituting the value of y in the equation for the area gives;

Area = 3·x × 2·y = 3·x × 2·(375 - 9/4·x) = 2250·x - 27/2·x²

Area = 2250·x - 27/2·x²

The maximum area is found by taking the derivative and equating to zero as follows;

d(2250·x - 27/2·x²)/dx = 0

2250 - 27·x = 0

x = 2250/27 = 250/3

x = 250/3

y = 375 - 9/4·x = 375 - 9/4×250/3 = 187.5

The maximum area is therefore, 3·x × 2·y = 3 × 250/3 × 2 × 187.5 = 93750 ft²

The maximum area is therefore = 93750 ft.²

4 0

3 years ago

Consider the following information about travelers on vacation: 40% check work email, 30% use a cell phone to stay connected to

allsm [11]

Answer:

There is a 40% probability that a randomly selected traveler whochecks work email also uses a cell phone to stay connected.

Step-by-step explanation:

a) What is the probability that a randomly selected traveler whochecks work email also uses a cell phone to stay connected?

The problem states that 40% of the travelers on vacation check work email. And 16% of them check both work email and use a cell phone.

So, the probability is the division of those who use both email and cellphone by those who use email.

$P = \frac{0.16}{0.40} = 0.4$

There is a 40% probability that a randomly selected traveler whochecks work email also uses a cell phone to stay connected.

5 0

3 years ago

1. Matthew drove 16 miles in 1/2 hour. What was Matthew's average speed? 2 3 4 32 miles per hour 30 miles per hour 8 miles per h

nexus9112 [7]

Answer:

32 miles per hour

Step-by-step explanation:

there are two 1/2 in one whole, so take 16 miles and multiply it by 2...which gives you 32 miles per hour.

5 0

3 years ago

Can a set of data having two modes have two points of central tendency

Fynjy0 [20]

Answer:

The Measure of Central Tendency are

1. Mean

2. Median and Quartiles

3. Mode

4. Geometric Mean

5. Harmonic Mean

→When all the five Measure of Dispersion are Same, it means the two data sets have Identical Variate.

→Now consider the two data sets,

A=3,4,4,5

B=1,4,4,7

Both the Data set have , same mean, median, and Mode,which is equal to 4.

→When you will consider, First three as Measure of central tendency ,then it becomes incorrect statement ,that Data Set are same.

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Given: Circle O with diameter LN and inscribed angle LMN

Arte-miy333 [17]

Answer:

B) inscribed angle theorem :)

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

If x=8 and y=14. Find y when x=48​

If x=8 and y=14. Find y when x=48