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3 years ago

Make x the subject of formular y=5√x+3-4

Mathematics

1 answer:

pochemuha3 years ago

8 0

Answer:

x={(y+1) / 5}²

Step-by-step explanation:

y = 5√x +3 -4

⇒y = 5√x -1

add 1 on both sides

⇒ y + 1 = 5√x

divide both sides by 5

⇒(y+1) / 5 = (5√x) /5

⇒(y+1) / 5 = √x

now, square both sides

⇒{(y+1) / 5}² = (√x)²

∴{(y+1) / 5}² = x

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On a map the distance between St Petersburg, Fa, and Bladensburg. Md. Is shown below. If the actual

Alex73 [517]

Answer:

1 inch = 82 miles

Step-by-step explanation:

You can divide each of the terms of this ratio by 14 to get the ratio for 1 inch:

14 in : 1148 mi

= (14 in)/14 : (1148 mi)/14

= 1 in : 82 mi

8 0

4 years ago

Of the cars sold during the month of July, 89 had air conditioning, 99 had an automatic transmission, and 74 had power steering.

DedPeter [7]

Answer:

There are a total of 23 cars with air conditioning and automatic transmission but not power steering

Step-by-step explanation:

Let A be the cars that have Air conditioning, B the cars that have Automatic transmission and C the cars that have pwoer Steering. Lets denote |D| the cardinality of a set D.

Remember that for 2 sets E and F, we have that

$|E \cup F| = |E| + |F| - |E \cap F|$

Also,

|E| = |E ∩F| + |E∩F^c|

We now alredy the following:

|A| = 89

|B| = 99

|C| = 74

$|A \cap B \cap C| = 5$

|(A \cup B \cup C)^c| = 24

|A \ (B U C)| = 24 (This is A minus B and C, in other words, cars that only have Air conditioning).

|B \ (AUC)| = 65

|C \ (AUB)| = 26

$|B \cap C| = 11$

We want to know |(A∩B) \ C|. Lets calculate it by taking the information given and deducting more things

For example:

99 = |B| = |B ∩ C| + |B∩C^c| = 11 + |B∩C^c|

Therefore, |B∩C^c| = 99-11 = 88

And |A ∩ B ∩ C^c| = |B∩C^c| - |B∩C^c∩A^c| = |B∩C^c| - |B \ (AUC)| = 88-65 = 23.

This means that the amount of cars that have both transmission and air conditioning but now power steering is 23.

3 0

3 years ago

The variables x and y are related proportionally. when x= 4 ,y=10 . find y when x=18

egoroff_w [7]

45. divide the first set of x and y by 2 then multiply by 9 to get 45 for y and 18 for x

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3 years ago

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A lifeguard fills a pool with water at a constant rate. After 1/2 hour, 1/3 of the pool is filled.

Romashka-Z-Leto [24]

Answer: 2/3 of an hour.

Step-by-step explanation: The constant rate of the lifeguard filling the pool is 1/3 of the pool every 1/2 hour. If she fills it for an hour, she'll get 2/3 of the pool filled. Therefore, it'll take the lifeguard 1 hour to fill the pool 2/3 of the way.

Hope this helps! :)

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slamgirl [31]

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