Suppose that x=6 and y=8. If y is inversely related to x, what it y when x=3?

4
5
16
18

Answer:

Option B  [tex]8.54\ units[/tex]

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

Let

[tex]A(5,7)\\E(-3.4)[/tex]  

substitute the values

[tex]dAB=\sqrt{(4-7)^{2}+(-3-5)^{2}}[/tex]

[tex]dAB=\sqrt{(-3^{2}+(-8)^{2}}[/tex]

[tex]dAB=\sqrt{73}=8.54\ units[/tex]

Final answer:

The probability of rolling a "1" or a "2" on a 49-sided die is found by adding the separate probabilities of each event, resulting in 2/49 or approximately 0.04082.

Explanation:

In probability, when you want to find the chance of one event or another occurring, you add the probabilities of each event if they cannot happen at the same time. Given a special 49-sided die, each outcome is equally likely, and every roll is an independent event. Therefore, the probability of rolling a "1" is 1 out of 49, and the probability of rolling a "2" is also 1 out of 49. To find the combined probability of rolling either a "1" or a "2", you simply add these two probabilities together.

The probability of rolling a "1" is 1/49, and the probability of rolling a "2" is 1/49. So, the combined probability (P) is:

P("1" or "2") = P("1") + P("2") = 1/49 + 1/49 = 2/49 or approximately 0.04082.

The number of months that she can withdraw $40 is 6 months.

The equation that can be used to determine the number of times she can withdraw $40 and still have at least $150 is:

$150 = $390 - $40x

Where: x is the number of withdrawals

In order to determine the value of x, take the following steps

Combine similar terms: $390 - $150 = $40x

Add similar terms: $240 = $40x

Divide both sides of the equation by $40

x = 6

To learn more about division, please check: https://brainly.com/question/194007

The solution to the equation is x = 15.

We have,

To solve the equation 2x = 15 + x, we want to isolate the variable x on one side of the equation.

First, we can simplify the equation by subtracting x from both sides:

2x - x = 15 + x - x

This simplifies to:

x = 15

Thus,

The solution to the equation is x = 15.

Learn more about equations here:

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Answer:

The ratio is [tex]\frac{27}{343}[/tex] or 27:343

Step-by-step explanation:

The volume of cylinder is = [tex]V=\pi r^{2} h[/tex] ; where r is radius and h is height.

Given that the ratio of the heights and radii of two similar cylinders is 3 : 7.

Let r' be the radius and h' be the height of the other cylinder.

Its volume is [tex]V'=\pi r'^{2} h'[/tex]

According to the given information, we have

[tex]\frac{r}{r'}=\frac{h}{h'}=\frac{3}{7}[/tex]

Hence, we get

[tex]\frac{V}{V'}=\frac{\pi r^2h}{\pi r'^2h'}[/tex]

= [tex](\frac{3}{7})^{2} \times \frac{3}{7}[/tex]

= [tex]\frac{27}{343}[/tex]

Therefore, the ratio is 27:343

Answer:

I believe the answer is A, out of all numbers, it seems to be the closest to 3.4.

Step-by-step explanation:

Answer:

Correct options are:

c

a

b

Step-by-step explanation:

The map scale is:

1 centimeter = 1 kilometer

23 centimeters=23 kilometers

Correct option is: c

0.5 centimeters=0.5 kilometers

Correct option is: a

9 centimeters=9 kilometers

Correct option is: b

Answer:

n = 14 cm

Step-by-step explanation:

We are required to find the find the value of n.

Since, we have the lines are intersecting in the circle.

So, using the 'Intersecting Chord Theorem', which states that the product of the line segment formed by the intersecting lines are equal.

[tex]4\times n= 8\times 7[/tex]

i.e. [tex]4n=56[/tex]

i.e. n = [tex]\frac{56}{4}[/tex]

i.e. n = 14

Hence, the value of n is 14 cm.

We are given coordinate (-1 3/4, 4 1/2).

(-1 3/4, 4 1/2) represents x-coordinate -1 3/4.

And y-coordinate 4 1/2.

First we need to go -1 and three fourth between -1 and -2.

And then for 4 1/2, we need to got 4 above on y-axis and then a half between 4 and 5.

We would draw the coordinate of intersection of vertical line of point -1 3/4 and horizontal line at 4 1/2.

Answer:

I hope this helps! <3

Step-by-step explanation:

Answer:

The required solution is [tex]-4y^{10}[/tex].

Step-by-step explanation:

The given expression is

[tex]10y^{10}-14y^{10}[/tex]

Take out the common factor [tex]y^{10}[/tex] from both terms.

[tex]y^{10}(10-14)[/tex]

[tex]y^{10}(-4)[/tex]

[tex]-4y^{10}[/tex]

Therefore the required solution is [tex]-4y^{10}[/tex].

This question will employ the use of the formula for the area, A, of a sector of any circle. The formula is as:

[tex] A=\frac{\theta}{360^{\circ}}\times \pi r^2 [/tex]

Where [tex] \theta [/tex] is the angle subtended by the required sector. In our case, the sector is the shaded region and we need to find the angle of that shaded region. We know that the total angle of a circle is 360 degrees and the unshaded region subtends an angle of 75 degrees. Thus, the value of [tex] \theta [/tex] is calculated to be:

[tex] \theta=360^{\circ}-75^{\circ}=285^{\circ} [/tex]

r is the radius of the circle which in our case is 9 cm.

Thus, the area of the shaded region is:

[tex] A=\frac{285}{360}\times \pi\times 9^2=\frac{19}{24}\pi\times 81 =\frac{19\times 81}{24}\pi [/tex]

[tex] \therefore A=\frac{19\times 27}{8}\pi=\frac{x}{y} =\frac{513}{8}\pi [/tex] cm^2

Thus, Option D is the correct option.