All categories

2 years ago

Its given that x varies directly with y square and x=3 and y=3.Find the value of x when y=45

Mathematics

1 answer:

ivanzaharov [21]2 years ago

7 0

Step-by-step explanation:

x = ky², where k is a real constant.

When x = 3, y = 3.

=> 3 = 9k, k = 1/3.

Therefore x = y²/3.

When y = 45, x = 45²/3 = 675.

You might be interested in

There are three executives in an office, ages 56, 57, and 58. If a 57-year-old executive enters the room, the

vova2212 [387]

Answer:

option (c) The mean age will stay the same but the variance will decrease

Step-by-step explanation:

Case I: For 3 executives of ages 56, 57 and 58

Number of executives, n = 3

Mean = $\frac{\textup{56 + 57 + 58 }}{\textup{3}}$

Mean = 57

Variance = $\frac{\sum{(Data - Mean)^2}}{\textup{n-1}}$

Variance = $\frac{(56 - 57)^2+(57-57)^2+(58-57)^2}{\textup{3-1}}$

Variance = $\frac{1+0+1}{\textup{2}}$

Variance = 1

For Case II: For 4 executives of ages 56, 57, 58 and 57

Number of executives, n = 4

Mean = $\frac{\textup{56 + 57 + 58 + 57 }}{\textup{4}}$

Mean = 57

Variance = $\frac{\sum{(Data - Mean)^2}}{\textup{n-1}}$

Variance = $\frac{(56 - 57)^2+(57-57)^2+(58-57)^2+(57-57)^2}{\textup{4-1}}$

Variance = $\frac{1+0+1+0}{\textup{3}}$

Variance = 0.67

Hence,

Mean will remain the same and the variance will decrease

Hence,

The correct answer is option (c) The mean age will stay the same but the variance will decrease

3 0

2 years ago

What is the name of the place value of 9 in 199

Sliva [168]

The name of place value of 9 in 199 is ones.

The second 9 has a value of tens.

The number 1 has a place value of hundreds.

8 0

2 years ago

Read 2 more answers

(5, 3) and (6, r) m = -1

Rzqust [24]

Answer:

r = 2

Step-by-step explanation:

(2-3)/(6-5)

= -1/1

= -1

6 0

2 years ago

How to solve 15=x-3 ;_;

Vitek1552 [10]

X= 18

So that you can help yourself better use Math-way!!

3 0

2 years ago

Read 2 more answers

John bought an old motor bike for $ 5675 and spent $ 453 on its repair. Then he sold it in $ 7265, find out the profit he made.

drek231 [11]

Answer:

1137

Step-by-step explanation:

5675+453

6128

Now

7265-6128

1137

4 0

2 years ago