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Lady_Fox [76]
2 years ago
5

The answer to this equation no steps needed for me just needed a,b,c or d

Mathematics
1 answer:
elixir [45]2 years ago
6 0

Solution

- The solution steps are given below:

\begin{gathered} y\propto\frac{1}{x^2} \\  \\ \therefore y=\frac{k}{x^2} \\ where,\text{ }k\text{ is the constant of proportionality} \\  \\ when\text{ }x=1,y=\frac{7}{4} \\  \\ \frac{7}{4}=\frac{k}{1^2} \\  \\ \therefore k=\frac{7}{4} \\  \\ \text{ Thus, we can say} \\ y=\frac{7}{4x^2} \\  \\ \text{ Thus, when }x=3,\text{ we have:} \\ y=\frac{7}{4(3^2)} \\  \\ y=\frac{7}{4\times9} \\  \\ \therefore y=\frac{7}{36} \end{gathered}

Final Answer

The answer is

y=\frac{7}{4x^2};y(3)=\frac{7}{36}\text{   \lparen OPTION C\rparen}

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The sum of two numbers is 48. If one third of one number is 5 greater than one sixth of another number, which of the following i
Nostrana [21]
The answer is 22. try to figure it out:)
6 0
3 years ago
What is the area of a rectangle with vertices at ​ (−4, 0) ​, ​ (−3, 1) ​ , (0, −2) , and (−1, −3) ?
Sauron [17]

The Length of the Given Rectangle is \sqrt{18}

The Breadth of the Given Rectangle is \sqrt{2}

We know that Area of the Rectangle is Length × Breadth

⇒ Area of the Given Rectangle = \sqrt{18} × \sqrt{2} = \sqrt{36} = 6

⇒ Hence the Area of Given Rectangle is 6 units

8 0
3 years ago
Two cities are building bicycle paths. Charles City has built 5km of bicycle paths by the end of the first month, and the total
sergey [27]

Answer:

Month 4

Step-by-step explanation:

To solve this problem we must propose an equation that models the number of kilometers of bicycle trails made monthly in Charles City and in Tinsel Town

<em>For Charles City </em>we know that the number of kilometers built in the first month is 5, and it doubles every month. Then we have an exponential equation, in base 2, whose initial value is 5.

This equation has the following form:

y = C_1 (2^{x-1})

Where:

C_1 is the number of kilometers built in month 1

x is the number of months: {1, 2, 3, 4, 5 ... x}

x = 1 represents month 1.

So:

Charles\ City\ (km) = 5(2^{x-1})

<em>For Tinsel Town</em> we know that the number of kilometers built in the first month is 21 and increases at a fixed rate of 5 kilometers per month. This can be modeled by a linear equation.

Tinsel\ Town\ (km) = 21 + 5(x-1)

Where x is the number of months. x: {1, 2, 3, 4, 5 ...}

We want to know at the end of what month the total length of the cycle lanes in Charles City first exceeds the length in Tinsel Town

Then we equal both equations and clear x.

5 (2^{x-1}) = 21 + 5(x-1)\\\\5 (2^{x-1}) - (21 + 5(x-1)) = 0

Clearing x from this equation is very difficult, so to find x, we iterate until we get the value of x that causes the equation to approach 0.

For x = 3

5(2^{3-1}) - (21 +5(3-1)) = 0\\\\20- 31= -11

For x = 4

5(2^{4-1}) - (21 +5(4-1)) = 0\\\\40 - 36 = 4

<em>The value must be between x = 3 and x = 4</em>

For x = 3.8

5 (2^{3.8-1}) - (21 +5(3.8-1)) = 0\\\\34.82 - 35 = 0.18

Then x ≈ 3.8 months.

Finally we have that By the end of the fourth month the total length of the cycle lanes in Charles City exceeds the length in Tinsel Town

6 0
4 years ago
A total of 416 tickets were sold for a school play they were either tickets for adults tickets or student tickets the number of
Pepsi [2]

Answer:

let the number of adult tickets = x

Then the number of student tickets = 3x

Total tickets x+3x = 416

 

4x = 416

x = 416/4

x = 104

Therefore the number of adult tickets sold is 104

Step-by-step explanation:

3 0
3 years ago
In 1985, the average ACT score was 18 with a standard deviation of 6. Also in 1985, the average SAT score was
lord [1]

The ACT score was better since the z-score of the ACT is greater than the z-score of the SAT. Then the correct option is B.

<h3>What is a normal distribution?</h3>

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The z-score is given as

\rm z = \dfrac{x - \mu }{\sigma}

In 1985, the average ACT score was 18 with a standard deviation of 6.

Also in 1985, the average SAT score was 500 with a standard deviation of 100.

Dr. Robertson took both tests in 1985 and scored a 26 on the ACT and a 620 on the SAT.

Then the z-score of the ACT will be

\rm z = \dfrac{26 - 18}{6}\\\\z = 1.3333

Then the z-score of the SAT will be

\rm z = \dfrac{620 - 500}{100}\\\\z = 1.2

Then the ACT score was better since the z-score of the ACT is greater than the z-score of the SAT.

More about the normal distribution link is given below.

brainly.com/question/12421652

#SPJ1

6 0
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