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lions [1.4K]
4 years ago
9

Y is directly proportional to x^2. It is known that y=10 for a particular value of x. Find the value of y when the value of x is

halved
...?
Mathematics
1 answer:
Mandarinka [93]4 years ago
3 0
<span>Y is directly proportional to x^2. It could be represented by the expression:

y </span>α x^2

We can make it into an equality by inserting the proportionality constant, k.

y = kx^2

k would be constant for any value of y with a corresponding value of x. We solve the problem by this concept as follows:

y1/(x1)^2 = y2/(x2)^2
10/(x1)^2 = y2/(x1/2)^2
10/4 = y2

Therefore, when the value of x is halved, y is equal to 10/4.
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Wendy throws a dart at this square-shaped target:
Ostrovityanka [42]

Answer:

Hello! I hope I am correct! :)

Step-by-step explanation:

Let’s first calculate the black circle & the white space.

Since there is more white space than the black circle, we already know that the white space will have more probability.

These are the steps you need to do, in order to so love this problem:

1. Find the area of both, the white space and the black circle.

2. Divide both of them by the area of the square.

3. Do all these steps to find the probability/hitting.

Part A:

Black circle: ( π *1^2) / ( π 5^2) = 1/25 = .04 or 3.14% chance.

So we can tell it’s close to zero.

Part B: 1 - .04 = 0.96 or 97%

This is close to one.

(Remember I am not saying the exact, it’s a estimate)

Brainliest would be appreciated!

Hope this helps! :)

By; BrainlyAnime

8 0
3 years ago
The number y of deer in a county after x years can be modeled by y=0.75x^2 + 10.5x + 1300. When were there about 2000 deer? Roun
Lemur [1.5K]

Answer:

24 years

Step-by-step explanation:

We are told that the model of number of deers is;

y = 0.75x² + 10.5x + 1300

Where;

y represents number of deers

x represents number of years

Now, we want to find how many years it will take to get to 2000 deers.

Thus;

2000 = 0.75x² + 10.5x + 1300

0.75x² + 10.5x + 1300 - 2000 = 0

0.75x² + 10.5x - 700 = 0

Using quadratic formula, we have;

x = [-b ± √(b² - 4ac)]/2a

x = [-10.5 ± √(10.5²- (4*0.75*-700)]/(2*0.75)

x = [-10.5 ± √(110.25 + 2100)]/(1.5)

x = [-10.5 ± √2210.25]/(1.5)

x ≈ -38 or 24

Number of years can't be negative, so we will take the positive value.

So, x = 24 years

3 0
3 years ago
Evaluate the expression a/b for a = 80 and b = 8.
tangare [24]

A / B

= 80 / 8

= 10

Therefore the answer is 10

7 0
3 years ago
Read 2 more answers
Suppose Cotangent (theta) = StartFraction 5 Over 12 EndFraction, where Pi less-than theta less-than StartFraction 3 pi Over 2 En
Agata [3.3K]

Answer:

Sin theta = 12/13

Step-by-step explanation:

From the question;

Cot theta = 5/12

Kindly recall;

Cot theta = 1/ tan theta

Hence, tan theta = 12/5

Mathematically

tan theta= opposite/adjacent

to get hypotenuse, we will use Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides

let hypotenuse be h

h^2 = 12^2 + 5^2

h^2 = 144 + 25

h^2 = 169

h = √169

h = 13

But sine theta = opposite/ hypotenuse = 12/13

5 0
3 years ago
Express 4x^2-25 as a product of two binomials.
Andrei [34K]

4x^2-25= (2x)^2-5^2=(2x-5)(2x+5)

Used: a^2-b^2=(a+b)(a-b)

5 0
3 years ago
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