The frequency of vibration (f) of a string varies directly as the square root of the tension (T) and inversely as the length (L) of the string. If the frequency is 60 vibrations per second with the tension is 121 lb and the length of the string is 12 feet, find the frequency with the tension is 81 lb and the string is 9 feet.

Answer:

Answer:

the y is 4

and the x is -8

(x,y)

(8,4-)

Answer:

[tex]Ratio = \frac{R^2 - r^2 }{ r^2}[/tex]

Step-by-step explanation:

Given

See attachment for circles

Required

Ratio of the outer sector to inner sector

The area of a sector is:

[tex]Area = \frac{\theta}{360}\pi r^2[/tex]

For the inner circle

[tex]r \to radius[/tex]

The sector of the inner circle has the following area

[tex]A_1 = \frac{\theta}{360}\pi r^2[/tex]

For the whole circle

[tex]R \to Radius[/tex]

The sector of the outer sector has the following area

[tex]A_2 = \frac{\theta}{360}\pi (R^2 - r^2)[/tex]

So, the ratio of the outer sector to the inner sector is:

[tex]Ratio = A_2 : A_1[/tex]

[tex]Ratio = \frac{\theta}{360}\pi (R^2 - r^2) : \frac{\theta}{360}\pi r^2[/tex]

Cancel out common factor

[tex]Ratio = R^2 - r^2 : r^2[/tex]

Express as fraction

[tex]Ratio = \frac{R^2 - r^2 }{ r^2}[/tex]

Answer:

Option B

Step-by-step explanation:

Proportion of number of defective pieces to the number of microchips in a batch can be represented by the ratio = [tex]\frac{\text{Number of microchips not in good condition}}{\text{Total numbers of microchips}}[/tex]

If 3 microchips are defective in a batch of 750 microchips,

Proportion = [tex]\frac{3}{750}[/tex]

If 'x' chips are defective in a batch of 10000 microchips,

Proportion = [tex]\frac{x}{10000}[/tex]

If both the proportions are equal,

[tex]\frac{3}{750}=\frac{x}{10000}[/tex]

Therefore, Option B will be the answer.

Answer:

c= 15 mi

Step-by-step explanation:

Pythagorean theorem.  a^+b^=c^

Square root of that

answer 15

Answer:

15

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

9^2 + 12 ^2 = c^2

81+144= c^2

225 = c^2

Take the square root of each side

sqrt(225) = sqrt(c^2)

15 =c

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

18 divided by 6 equals 3

21 minus 3 equals 18

18 plus 3 equals 21

Answer:

4x(10)

Step-by-step explanation:

add 3+7=10

4x is multiplying 3+7=10

4x(10)

Answer

5 miles

Step-by-step explanation:

If he rides his bike one mile each day school to home each day its going to be 1 mile per day so if its 5 days it is 5 miles

Answer:

(3,16)

Step-by-step explanation:

Factor the equation to find out that the roots are 7 and -1. The vertex's x will be in the center of these two points, so the center point between 7 and -1 is 3. Continue to substitute the x in the equation with 3 to get the other coordinate for vertex.

Answer:

We can start at the given point (-1, 2) and move down 3 units and right 4 units to plot the next point. Repeat this for however long you want the line to be.

Hope this helps!

Here is the diagram:

Step-by-step explanation:

slope = 4

[tex] \frac{18 - 10}{7 - 5} [/tex]

which is

[tex] \frac{8}{2} [/tex]

which is 4

Answer:

A. 210

Step-by-step explanation:

If you add the number of employees on the bar graph you will obtain your answer of 210 employees at Acme Corporation/Apple InfoTech.

Answer:   go to quizlet it will most likely have the answers

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Answer:

y=4x

Step-by-step explanation:

Write the equation of linear function

Substitute:  

Multiply the monomials:  

Rearrange unknown terms to the left side of the equation:  

Reduce the greatest common factor on both sides of the equation:  

Rearrange unknown terms to the left side of the equation:  

Divide both sides of the equation by the coefficient of variable:  

Substitute one unknown quantity into the elimination:  

Solve the equation: m=4

Write the solution set of the equations:  

Substitute: y=4x

Answer: y=4x

Answer:

the middle one

Step-by-step explanation:

Answer:

Step-by-step explanation:

are about 2.5 meters above

Answer:

x= 36

Step-by-step explanation:

both angles together are supplementary and will form 180

Therefore, you know the missing angle can be found by substracting 108 from 180

180 - 108 = 72

72 = 2x

Answer:

36°

Step-by-step explanation:

2x+108°=180°

2x=72°

x=36°

Answer:

D; 15

Step-by-step explanation:

Because the highest point on the graph is at 15 (or 3 am), that would be the highest temperature. (Also, none of the other choices make sense; they are all at relatively low temperatures).

Answer:

16 = x

Step-by-step explanation:

A triangle has 180 degrees. Use this to solve for x

180=(9x-8)+(x+2)+(x+10)

180 = 9x + x + x - 8 + 2 +10

180 + 8 -2 - 10 = 11 x

176 = 11x

176/11 = x

16 = x

Answer:

3 ways

Step-by-step explanation:

since the lowest # of people interested in a position is 3, there can only be 3 different ways to fill an entire 4-person committee

Answer:

X=4

Hope this helped some.

Answer:

4=X

Step-by-step explanation:

6X-8=4X

-8=-2X

-8/-2= 4X

-4 is greater since its negative then what you would call a smaller number is always greater

Answer:

-4

Step-by-step explanation:

i would pick ice cream though

Answer:

Part A : 1/62   Part  b : 1/60

Step-by-step explanation:

Well lets start with part A

(62)x=1

anything in parenthesis means multiply

62x= 1

divide everything by 62 to get x by itself

x= 1/62

Part A : 1/62

Part B : 60x = 1

x = 1/60

because same  reasoning

Answer:=2n5+4n4+5n3+4n

Step-by-step explanation:

Answer:

C. [tex]2n^{5} + 4n^{4} + 5n^{3} + 4n[/tex]

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Answer:

four significant digits

Step-by-step explanation: